mirror of
https://github.com/ncblakely/GiantsTools
synced 2024-12-23 15:57:22 +01:00
1081 lines
53 KiB
C
1081 lines
53 KiB
C
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//-------------------------------------------------------------------------------------
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// SimpleMath.h -- Simplified C++ Math wrapper for DirectXMath
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//
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// Copyright (c) Microsoft Corporation. All rights reserved.
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// Licensed under the MIT License.
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//
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// http://go.microsoft.com/fwlink/?LinkId=248929
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// http://go.microsoft.com/fwlink/?LinkID=615561
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//-------------------------------------------------------------------------------------
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#pragma once
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#if !(defined(_XBOX_ONE) && defined(_TITLE)) && !defined(_GAMING_XBOX)
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#include <dxgi1_2.h>
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#endif
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#include <functional>
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#include <assert.h>
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#include <memory.h>
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#include <DirectXMath.h>
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#include <DirectXPackedVector.h>
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#include <DirectXCollision.h>
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#ifdef __clang__
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#pragma clang diagnostic push
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#pragma clang diagnostic ignored "-Wfloat-equal"
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#endif
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namespace DirectX
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{
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namespace SimpleMath
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{
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struct Vector2;
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struct Vector4;
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struct Matrix;
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struct Quaternion;
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struct Plane;
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//------------------------------------------------------------------------------
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// 2D rectangle
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struct Rectangle
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{
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long x;
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long y;
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long width;
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long height;
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// Creators
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Rectangle() noexcept : x(0), y(0), width(0), height(0) {}
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constexpr Rectangle(long ix, long iy, long iw, long ih) noexcept : x(ix), y(iy), width(iw), height(ih) {}
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explicit Rectangle(const RECT& rct) noexcept : x(rct.left), y(rct.top), width(rct.right - rct.left), height(rct.bottom - rct.top) {}
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Rectangle(const Rectangle&) = default;
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Rectangle& operator=(const Rectangle&) = default;
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Rectangle(Rectangle&&) = default;
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Rectangle& operator=(Rectangle&&) = default;
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operator RECT() noexcept { RECT rct; rct.left = x; rct.top = y; rct.right = (x + width); rct.bottom = (y + height); return rct; }
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#ifdef __cplusplus_winrt
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operator Windows::Foundation::Rect() noexcept { return Windows::Foundation::Rect(float(x), float(y), float(width), float(height)); }
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#endif
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// Comparison operators
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bool operator == (const Rectangle& r) const noexcept { return (x == r.x) && (y == r.y) && (width == r.width) && (height == r.height); }
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bool operator == (const RECT& rct) const noexcept { return (x == rct.left) && (y == rct.top) && (width == (rct.right - rct.left)) && (height == (rct.bottom - rct.top)); }
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bool operator != (const Rectangle& r) const noexcept { return (x != r.x) || (y != r.y) || (width != r.width) || (height != r.height); }
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bool operator != (const RECT& rct) const noexcept { return (x != rct.left) || (y != rct.top) || (width != (rct.right - rct.left)) || (height != (rct.bottom - rct.top)); }
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// Assignment operators
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Rectangle& operator=(_In_ const RECT& rct) noexcept { x = rct.left; y = rct.top; width = (rct.right - rct.left); height = (rct.bottom - rct.top); return *this; }
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// Rectangle operations
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Vector2 Location() const noexcept;
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Vector2 Center() const noexcept;
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bool IsEmpty() const noexcept { return (width == 0 && height == 0 && x == 0 && y == 0); }
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bool Contains(long ix, long iy) const noexcept { return (x <= ix) && (ix < (x + width)) && (y <= iy) && (iy < (y + height)); }
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bool Contains(const Vector2& point) const noexcept;
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bool Contains(const Rectangle& r) const noexcept { return (x <= r.x) && ((r.x + r.width) <= (x + width)) && (y <= r.y) && ((r.y + r.height) <= (y + height)); }
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bool Contains(const RECT& rct) const noexcept { return (x <= rct.left) && (rct.right <= (x + width)) && (y <= rct.top) && (rct.bottom <= (y + height)); }
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void Inflate(long horizAmount, long vertAmount) noexcept;
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bool Intersects(const Rectangle& r) const noexcept { return (r.x < (x + width)) && (x < (r.x + r.width)) && (r.y < (y + height)) && (y < (r.y + r.height)); }
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bool Intersects(const RECT& rct) const noexcept { return (rct.left < (x + width)) && (x < rct.right) && (rct.top < (y + height)) && (y < rct.bottom); }
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void Offset(long ox, long oy) noexcept { x += ox; y += oy; }
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// Static functions
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static Rectangle Intersect(const Rectangle& ra, const Rectangle& rb) noexcept;
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static RECT Intersect(const RECT& rcta, const RECT& rctb) noexcept;
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static Rectangle Union(const Rectangle& ra, const Rectangle& rb) noexcept;
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static RECT Union(const RECT& rcta, const RECT& rctb) noexcept;
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};
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//------------------------------------------------------------------------------
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// 2D vector
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struct Vector2 : public XMFLOAT2
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{
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Vector2() noexcept : XMFLOAT2(0.f, 0.f) {}
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constexpr explicit Vector2(float ix) noexcept : XMFLOAT2(ix, ix) {}
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constexpr Vector2(float ix, float iy) noexcept : XMFLOAT2(ix, iy) {}
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explicit Vector2(_In_reads_(2) const float *pArray) noexcept : XMFLOAT2(pArray) {}
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Vector2(FXMVECTOR V) noexcept { XMStoreFloat2(this, V); }
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Vector2(const XMFLOAT2& V) noexcept { this->x = V.x; this->y = V.y; }
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explicit Vector2(const XMVECTORF32& F) noexcept { this->x = F.f[0]; this->y = F.f[1]; }
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Vector2(const Vector2&) = default;
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Vector2& operator=(const Vector2&) = default;
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Vector2(Vector2&&) = default;
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Vector2& operator=(Vector2&&) = default;
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operator XMVECTOR() const noexcept { return XMLoadFloat2(this); }
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// Comparison operators
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bool operator == (const Vector2& V) const noexcept;
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bool operator != (const Vector2& V) const noexcept;
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// Assignment operators
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Vector2& operator= (const XMVECTORF32& F) noexcept { x = F.f[0]; y = F.f[1]; return *this; }
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Vector2& operator+= (const Vector2& V) noexcept;
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Vector2& operator-= (const Vector2& V) noexcept;
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Vector2& operator*= (const Vector2& V) noexcept;
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Vector2& operator*= (float S) noexcept;
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Vector2& operator/= (float S) noexcept;
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// Unary operators
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Vector2 operator+ () const noexcept { return *this; }
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Vector2 operator- () const noexcept { return Vector2(-x, -y); }
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// Vector operations
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bool InBounds(const Vector2& Bounds) const noexcept;
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float Length() const noexcept;
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float LengthSquared() const noexcept;
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float Dot(const Vector2& V) const noexcept;
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void Cross(const Vector2& V, Vector2& result) const noexcept;
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Vector2 Cross(const Vector2& V) const noexcept;
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void Normalize() noexcept;
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void Normalize(Vector2& result) const noexcept;
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void Clamp(const Vector2& vmin, const Vector2& vmax) noexcept;
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void Clamp(const Vector2& vmin, const Vector2& vmax, Vector2& result) const noexcept;
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// Static functions
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static float Distance(const Vector2& v1, const Vector2& v2) noexcept;
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static float DistanceSquared(const Vector2& v1, const Vector2& v2) noexcept;
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static void Min(const Vector2& v1, const Vector2& v2, Vector2& result) noexcept;
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static Vector2 Min(const Vector2& v1, const Vector2& v2) noexcept;
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static void Max(const Vector2& v1, const Vector2& v2, Vector2& result) noexcept;
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static Vector2 Max(const Vector2& v1, const Vector2& v2) noexcept;
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static void Lerp(const Vector2& v1, const Vector2& v2, float t, Vector2& result) noexcept;
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static Vector2 Lerp(const Vector2& v1, const Vector2& v2, float t) noexcept;
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static void SmoothStep(const Vector2& v1, const Vector2& v2, float t, Vector2& result) noexcept;
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static Vector2 SmoothStep(const Vector2& v1, const Vector2& v2, float t) noexcept;
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static void Barycentric(const Vector2& v1, const Vector2& v2, const Vector2& v3, float f, float g, Vector2& result) noexcept;
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static Vector2 Barycentric(const Vector2& v1, const Vector2& v2, const Vector2& v3, float f, float g) noexcept;
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static void CatmullRom(const Vector2& v1, const Vector2& v2, const Vector2& v3, const Vector2& v4, float t, Vector2& result) noexcept;
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static Vector2 CatmullRom(const Vector2& v1, const Vector2& v2, const Vector2& v3, const Vector2& v4, float t) noexcept;
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static void Hermite(const Vector2& v1, const Vector2& t1, const Vector2& v2, const Vector2& t2, float t, Vector2& result) noexcept;
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static Vector2 Hermite(const Vector2& v1, const Vector2& t1, const Vector2& v2, const Vector2& t2, float t) noexcept;
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static void Reflect(const Vector2& ivec, const Vector2& nvec, Vector2& result) noexcept;
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static Vector2 Reflect(const Vector2& ivec, const Vector2& nvec) noexcept;
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static void Refract(const Vector2& ivec, const Vector2& nvec, float refractionIndex, Vector2& result) noexcept;
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static Vector2 Refract(const Vector2& ivec, const Vector2& nvec, float refractionIndex) noexcept;
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static void Transform(const Vector2& v, const Quaternion& quat, Vector2& result) noexcept;
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static Vector2 Transform(const Vector2& v, const Quaternion& quat) noexcept;
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static void Transform(const Vector2& v, const Matrix& m, Vector2& result) noexcept;
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static Vector2 Transform(const Vector2& v, const Matrix& m) noexcept;
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static void Transform(_In_reads_(count) const Vector2* varray, size_t count, const Matrix& m, _Out_writes_(count) Vector2* resultArray) noexcept;
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static void Transform(const Vector2& v, const Matrix& m, Vector4& result) noexcept;
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static void Transform(_In_reads_(count) const Vector2* varray, size_t count, const Matrix& m, _Out_writes_(count) Vector4* resultArray) noexcept;
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static void TransformNormal(const Vector2& v, const Matrix& m, Vector2& result) noexcept;
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static Vector2 TransformNormal(const Vector2& v, const Matrix& m) noexcept;
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static void TransformNormal(_In_reads_(count) const Vector2* varray, size_t count, const Matrix& m, _Out_writes_(count) Vector2* resultArray) noexcept;
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// Constants
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static const Vector2 Zero;
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static const Vector2 One;
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static const Vector2 UnitX;
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static const Vector2 UnitY;
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};
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// Binary operators
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Vector2 operator+ (const Vector2& V1, const Vector2& V2) noexcept;
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Vector2 operator- (const Vector2& V1, const Vector2& V2) noexcept;
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Vector2 operator* (const Vector2& V1, const Vector2& V2) noexcept;
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Vector2 operator* (const Vector2& V, float S) noexcept;
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Vector2 operator/ (const Vector2& V1, const Vector2& V2) noexcept;
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Vector2 operator/ (const Vector2& V, float S) noexcept;
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Vector2 operator* (float S, const Vector2& V) noexcept;
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//------------------------------------------------------------------------------
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// 3D vector
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struct Vector3 : public XMFLOAT3
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{
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Vector3() noexcept : XMFLOAT3(0.f, 0.f, 0.f) {}
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constexpr explicit Vector3(float ix) noexcept : XMFLOAT3(ix, ix, ix) {}
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constexpr Vector3(float ix, float iy, float iz) noexcept : XMFLOAT3(ix, iy, iz) {}
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explicit Vector3(_In_reads_(3) const float *pArray) noexcept : XMFLOAT3(pArray) {}
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Vector3(FXMVECTOR V) noexcept { XMStoreFloat3(this, V); }
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Vector3(const XMFLOAT3& V) noexcept { this->x = V.x; this->y = V.y; this->z = V.z; }
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explicit Vector3(const XMVECTORF32& F) noexcept { this->x = F.f[0]; this->y = F.f[1]; this->z = F.f[2]; }
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Vector3(const Vector3&) = default;
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Vector3& operator=(const Vector3&) = default;
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Vector3(Vector3&&) = default;
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Vector3& operator=(Vector3&&) = default;
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operator XMVECTOR() const noexcept { return XMLoadFloat3(this); }
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// Comparison operators
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bool operator == (const Vector3& V) const noexcept;
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bool operator != (const Vector3& V) const noexcept;
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// Assignment operators
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Vector3& operator= (const XMVECTORF32& F) noexcept { x = F.f[0]; y = F.f[1]; z = F.f[2]; return *this; }
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Vector3& operator+= (const Vector3& V) noexcept;
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Vector3& operator-= (const Vector3& V) noexcept;
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Vector3& operator*= (const Vector3& V) noexcept;
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Vector3& operator*= (float S) noexcept;
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Vector3& operator/= (float S) noexcept;
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// Unary operators
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Vector3 operator+ () const noexcept { return *this; }
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Vector3 operator- () const noexcept;
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// Vector operations
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bool InBounds(const Vector3& Bounds) const noexcept;
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float Length() const noexcept;
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float LengthSquared() const noexcept;
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float Dot(const Vector3& V) const noexcept;
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void Cross(const Vector3& V, Vector3& result) const noexcept;
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Vector3 Cross(const Vector3& V) const noexcept;
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void Normalize() noexcept;
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void Normalize(Vector3& result) const noexcept;
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void Clamp(const Vector3& vmin, const Vector3& vmax) noexcept;
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void Clamp(const Vector3& vmin, const Vector3& vmax, Vector3& result) const noexcept;
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// Static functions
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static float Distance(const Vector3& v1, const Vector3& v2) noexcept;
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static float DistanceSquared(const Vector3& v1, const Vector3& v2) noexcept;
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static void Min(const Vector3& v1, const Vector3& v2, Vector3& result) noexcept;
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static Vector3 Min(const Vector3& v1, const Vector3& v2) noexcept;
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static void Max(const Vector3& v1, const Vector3& v2, Vector3& result) noexcept;
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static Vector3 Max(const Vector3& v1, const Vector3& v2) noexcept;
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static void Lerp(const Vector3& v1, const Vector3& v2, float t, Vector3& result) noexcept;
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static Vector3 Lerp(const Vector3& v1, const Vector3& v2, float t) noexcept;
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static void SmoothStep(const Vector3& v1, const Vector3& v2, float t, Vector3& result) noexcept;
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static Vector3 SmoothStep(const Vector3& v1, const Vector3& v2, float t) noexcept;
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static void Barycentric(const Vector3& v1, const Vector3& v2, const Vector3& v3, float f, float g, Vector3& result) noexcept;
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static Vector3 Barycentric(const Vector3& v1, const Vector3& v2, const Vector3& v3, float f, float g) noexcept;
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static void CatmullRom(const Vector3& v1, const Vector3& v2, const Vector3& v3, const Vector3& v4, float t, Vector3& result) noexcept;
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static Vector3 CatmullRom(const Vector3& v1, const Vector3& v2, const Vector3& v3, const Vector3& v4, float t) noexcept;
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static void Hermite(const Vector3& v1, const Vector3& t1, const Vector3& v2, const Vector3& t2, float t, Vector3& result) noexcept;
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static Vector3 Hermite(const Vector3& v1, const Vector3& t1, const Vector3& v2, const Vector3& t2, float t) noexcept;
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static void Reflect(const Vector3& ivec, const Vector3& nvec, Vector3& result) noexcept;
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static Vector3 Reflect(const Vector3& ivec, const Vector3& nvec) noexcept;
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||
|
|
|
||
|
|
static void Refract(const Vector3& ivec, const Vector3& nvec, float refractionIndex, Vector3& result) noexcept;
|
||
|
|
static Vector3 Refract(const Vector3& ivec, const Vector3& nvec, float refractionIndex) noexcept;
|
||
|
|
|
||
|
|
static void Transform(const Vector3& v, const Quaternion& quat, Vector3& result) noexcept;
|
||
|
|
static Vector3 Transform(const Vector3& v, const Quaternion& quat) noexcept;
|
||
|
|
|
||
|
|
static void Transform(const Vector3& v, const Matrix& m, Vector3& result) noexcept;
|
||
|
|
static Vector3 Transform(const Vector3& v, const Matrix& m) noexcept;
|
||
|
|
static void Transform(_In_reads_(count) const Vector3* varray, size_t count, const Matrix& m, _Out_writes_(count) Vector3* resultArray) noexcept;
|
||
|
|
|
||
|
|
static void Transform(const Vector3& v, const Matrix& m, Vector4& result) noexcept;
|
||
|
|
static void Transform(_In_reads_(count) const Vector3* varray, size_t count, const Matrix& m, _Out_writes_(count) Vector4* resultArray) noexcept;
|
||
|
|
|
||
|
|
static void TransformNormal(const Vector3& v, const Matrix& m, Vector3& result) noexcept;
|
||
|
|
static Vector3 TransformNormal(const Vector3& v, const Matrix& m) noexcept;
|
||
|
|
static void TransformNormal(_In_reads_(count) const Vector3* varray, size_t count, const Matrix& m, _Out_writes_(count) Vector3* resultArray) noexcept;
|
||
|
|
|
||
|
|
// Constants
|
||
|
|
static const Vector3 Zero;
|
||
|
|
static const Vector3 One;
|
||
|
|
static const Vector3 UnitX;
|
||
|
|
static const Vector3 UnitY;
|
||
|
|
static const Vector3 UnitZ;
|
||
|
|
static const Vector3 Up;
|
||
|
|
static const Vector3 Down;
|
||
|
|
static const Vector3 Right;
|
||
|
|
static const Vector3 Left;
|
||
|
|
static const Vector3 Forward;
|
||
|
|
static const Vector3 Backward;
|
||
|
|
};
|
||
|
|
|
||
|
|
// Binary operators
|
||
|
|
Vector3 operator+ (const Vector3& V1, const Vector3& V2) noexcept;
|
||
|
|
Vector3 operator- (const Vector3& V1, const Vector3& V2) noexcept;
|
||
|
|
Vector3 operator* (const Vector3& V1, const Vector3& V2) noexcept;
|
||
|
|
Vector3 operator* (const Vector3& V, float S) noexcept;
|
||
|
|
Vector3 operator/ (const Vector3& V1, const Vector3& V2) noexcept;
|
||
|
|
Vector3 operator/ (const Vector3& V, float S) noexcept;
|
||
|
|
Vector3 operator* (float S, const Vector3& V) noexcept;
|
||
|
|
|
||
|
|
//------------------------------------------------------------------------------
|
||
|
|
// 4D vector
|
||
|
|
struct Vector4 : public XMFLOAT4
|
||
|
|
{
|
||
|
|
Vector4() noexcept : XMFLOAT4(0.f, 0.f, 0.f, 0.f) {}
|
||
|
|
constexpr explicit Vector4(float ix) noexcept : XMFLOAT4(ix, ix, ix, ix) {}
|
||
|
|
constexpr Vector4(float ix, float iy, float iz, float iw) noexcept : XMFLOAT4(ix, iy, iz, iw) {}
|
||
|
|
explicit Vector4(_In_reads_(4) const float *pArray) noexcept : XMFLOAT4(pArray) {}
|
||
|
|
Vector4(FXMVECTOR V) noexcept { XMStoreFloat4(this, V); }
|
||
|
|
Vector4(const XMFLOAT4& V) noexcept { this->x = V.x; this->y = V.y; this->z = V.z; this->w = V.w; }
|
||
|
|
explicit Vector4(const XMVECTORF32& F) noexcept { this->x = F.f[0]; this->y = F.f[1]; this->z = F.f[2]; this->w = F.f[3]; }
|
||
|
|
|
||
|
|
Vector4(const Vector4&) = default;
|
||
|
|
Vector4& operator=(const Vector4&) = default;
|
||
|
|
|
||
|
|
Vector4(Vector4&&) = default;
|
||
|
|
Vector4& operator=(Vector4&&) = default;
|
||
|
|
|
||
|
|
operator XMVECTOR() const noexcept { return XMLoadFloat4(this); }
|
||
|
|
|
||
|
|
// Comparison operators
|
||
|
|
bool operator == (const Vector4& V) const noexcept;
|
||
|
|
bool operator != (const Vector4& V) const noexcept;
|
||
|
|
|
||
|
|
// Assignment operators
|
||
|
|
Vector4& operator= (const XMVECTORF32& F) noexcept { x = F.f[0]; y = F.f[1]; z = F.f[2]; w = F.f[3]; return *this; }
|
||
|
|
Vector4& operator+= (const Vector4& V) noexcept;
|
||
|
|
Vector4& operator-= (const Vector4& V) noexcept;
|
||
|
|
Vector4& operator*= (const Vector4& V) noexcept;
|
||
|
|
Vector4& operator*= (float S) noexcept;
|
||
|
|
Vector4& operator/= (float S) noexcept;
|
||
|
|
|
||
|
|
// Unary operators
|
||
|
|
Vector4 operator+ () const noexcept { return *this; }
|
||
|
|
Vector4 operator- () const noexcept;
|
||
|
|
|
||
|
|
// Vector operations
|
||
|
|
bool InBounds(const Vector4& Bounds) const noexcept;
|
||
|
|
|
||
|
|
float Length() const noexcept;
|
||
|
|
float LengthSquared() const noexcept;
|
||
|
|
|
||
|
|
float Dot(const Vector4& V) const noexcept;
|
||
|
|
void Cross(const Vector4& v1, const Vector4& v2, Vector4& result) const noexcept;
|
||
|
|
Vector4 Cross(const Vector4& v1, const Vector4& v2) const noexcept;
|
||
|
|
|
||
|
|
void Normalize() noexcept;
|
||
|
|
void Normalize(Vector4& result) const noexcept;
|
||
|
|
|
||
|
|
void Clamp(const Vector4& vmin, const Vector4& vmax) noexcept;
|
||
|
|
void Clamp(const Vector4& vmin, const Vector4& vmax, Vector4& result) const noexcept;
|
||
|
|
|
||
|
|
// Static functions
|
||
|
|
static float Distance(const Vector4& v1, const Vector4& v2) noexcept;
|
||
|
|
static float DistanceSquared(const Vector4& v1, const Vector4& v2) noexcept;
|
||
|
|
|
||
|
|
static void Min(const Vector4& v1, const Vector4& v2, Vector4& result) noexcept;
|
||
|
|
static Vector4 Min(const Vector4& v1, const Vector4& v2) noexcept;
|
||
|
|
|
||
|
|
static void Max(const Vector4& v1, const Vector4& v2, Vector4& result) noexcept;
|
||
|
|
static Vector4 Max(const Vector4& v1, const Vector4& v2) noexcept;
|
||
|
|
|
||
|
|
static void Lerp(const Vector4& v1, const Vector4& v2, float t, Vector4& result) noexcept;
|
||
|
|
static Vector4 Lerp(const Vector4& v1, const Vector4& v2, float t) noexcept;
|
||
|
|
|
||
|
|
static void SmoothStep(const Vector4& v1, const Vector4& v2, float t, Vector4& result) noexcept;
|
||
|
|
static Vector4 SmoothStep(const Vector4& v1, const Vector4& v2, float t) noexcept;
|
||
|
|
|
||
|
|
static void Barycentric(const Vector4& v1, const Vector4& v2, const Vector4& v3, float f, float g, Vector4& result) noexcept;
|
||
|
|
static Vector4 Barycentric(const Vector4& v1, const Vector4& v2, const Vector4& v3, float f, float g) noexcept;
|
||
|
|
|
||
|
|
static void CatmullRom(const Vector4& v1, const Vector4& v2, const Vector4& v3, const Vector4& v4, float t, Vector4& result) noexcept;
|
||
|
|
static Vector4 CatmullRom(const Vector4& v1, const Vector4& v2, const Vector4& v3, const Vector4& v4, float t) noexcept;
|
||
|
|
|
||
|
|
static void Hermite(const Vector4& v1, const Vector4& t1, const Vector4& v2, const Vector4& t2, float t, Vector4& result) noexcept;
|
||
|
|
static Vector4 Hermite(const Vector4& v1, const Vector4& t1, const Vector4& v2, const Vector4& t2, float t) noexcept;
|
||
|
|
|
||
|
|
static void Reflect(const Vector4& ivec, const Vector4& nvec, Vector4& result) noexcept;
|
||
|
|
static Vector4 Reflect(const Vector4& ivec, const Vector4& nvec) noexcept;
|
||
|
|
|
||
|
|
static void Refract(const Vector4& ivec, const Vector4& nvec, float refractionIndex, Vector4& result) noexcept;
|
||
|
|
static Vector4 Refract(const Vector4& ivec, const Vector4& nvec, float refractionIndex) noexcept;
|
||
|
|
|
||
|
|
static void Transform(const Vector2& v, const Quaternion& quat, Vector4& result) noexcept;
|
||
|
|
static Vector4 Transform(const Vector2& v, const Quaternion& quat) noexcept;
|
||
|
|
|
||
|
|
static void Transform(const Vector3& v, const Quaternion& quat, Vector4& result) noexcept;
|
||
|
|
static Vector4 Transform(const Vector3& v, const Quaternion& quat) noexcept;
|
||
|
|
|
||
|
|
static void Transform(const Vector4& v, const Quaternion& quat, Vector4& result) noexcept;
|
||
|
|
static Vector4 Transform(const Vector4& v, const Quaternion& quat) noexcept;
|
||
|
|
|
||
|
|
static void Transform(const Vector4& v, const Matrix& m, Vector4& result) noexcept;
|
||
|
|
static Vector4 Transform(const Vector4& v, const Matrix& m) noexcept;
|
||
|
|
static void Transform(_In_reads_(count) const Vector4* varray, size_t count, const Matrix& m, _Out_writes_(count) Vector4* resultArray) noexcept;
|
||
|
|
|
||
|
|
// Constants
|
||
|
|
static const Vector4 Zero;
|
||
|
|
static const Vector4 One;
|
||
|
|
static const Vector4 UnitX;
|
||
|
|
static const Vector4 UnitY;
|
||
|
|
static const Vector4 UnitZ;
|
||
|
|
static const Vector4 UnitW;
|
||
|
|
};
|
||
|
|
|
||
|
|
// Binary operators
|
||
|
|
Vector4 operator+ (const Vector4& V1, const Vector4& V2) noexcept;
|
||
|
|
Vector4 operator- (const Vector4& V1, const Vector4& V2) noexcept;
|
||
|
|
Vector4 operator* (const Vector4& V1, const Vector4& V2) noexcept;
|
||
|
|
Vector4 operator* (const Vector4& V, float S) noexcept;
|
||
|
|
Vector4 operator/ (const Vector4& V1, const Vector4& V2) noexcept;
|
||
|
|
Vector4 operator/ (const Vector4& V, float S) noexcept;
|
||
|
|
Vector4 operator* (float S, const Vector4& V) noexcept;
|
||
|
|
|
||
|
|
//------------------------------------------------------------------------------
|
||
|
|
// 4x4 Matrix (assumes right-handed cooordinates)
|
||
|
|
struct Matrix : public XMFLOAT4X4
|
||
|
|
{
|
||
|
|
Matrix() noexcept
|
||
|
|
: XMFLOAT4X4(1.f, 0, 0, 0,
|
||
|
|
0, 1.f, 0, 0,
|
||
|
|
0, 0, 1.f, 0,
|
||
|
|
0, 0, 0, 1.f) {}
|
||
|
|
constexpr Matrix(float m00, float m01, float m02, float m03,
|
||
|
|
float m10, float m11, float m12, float m13,
|
||
|
|
float m20, float m21, float m22, float m23,
|
||
|
|
float m30, float m31, float m32, float m33) noexcept
|
||
|
|
: XMFLOAT4X4(m00, m01, m02, m03,
|
||
|
|
m10, m11, m12, m13,
|
||
|
|
m20, m21, m22, m23,
|
||
|
|
m30, m31, m32, m33) {}
|
||
|
|
explicit Matrix(const Vector3& r0, const Vector3& r1, const Vector3& r2) noexcept
|
||
|
|
: XMFLOAT4X4(r0.x, r0.y, r0.z, 0,
|
||
|
|
r1.x, r1.y, r1.z, 0,
|
||
|
|
r2.x, r2.y, r2.z, 0,
|
||
|
|
0, 0, 0, 1.f) {}
|
||
|
|
explicit Matrix(const Vector4& r0, const Vector4& r1, const Vector4& r2, const Vector4& r3) noexcept
|
||
|
|
: XMFLOAT4X4(r0.x, r0.y, r0.z, r0.w,
|
||
|
|
r1.x, r1.y, r1.z, r1.w,
|
||
|
|
r2.x, r2.y, r2.z, r2.w,
|
||
|
|
r3.x, r3.y, r3.z, r3.w) {}
|
||
|
|
Matrix(const XMFLOAT4X4& M) noexcept { memcpy_s(this, sizeof(float) * 16, &M, sizeof(XMFLOAT4X4)); }
|
||
|
|
Matrix(const XMFLOAT3X3& M) noexcept;
|
||
|
|
Matrix(const XMFLOAT4X3& M) noexcept;
|
||
|
|
|
||
|
|
explicit Matrix(_In_reads_(16) const float *pArray) noexcept : XMFLOAT4X4(pArray) {}
|
||
|
|
Matrix(CXMMATRIX M) noexcept { XMStoreFloat4x4(this, M); }
|
||
|
|
|
||
|
|
Matrix(const Matrix&) = default;
|
||
|
|
Matrix& operator=(const Matrix&) = default;
|
||
|
|
|
||
|
|
Matrix(Matrix&&) = default;
|
||
|
|
Matrix& operator=(Matrix&&) = default;
|
||
|
|
|
||
|
|
operator XMMATRIX() const noexcept { return XMLoadFloat4x4(this); }
|
||
|
|
|
||
|
|
// Comparison operators
|
||
|
|
bool operator == (const Matrix& M) const noexcept;
|
||
|
|
bool operator != (const Matrix& M) const noexcept;
|
||
|
|
|
||
|
|
// Assignment operators
|
||
|
|
Matrix& operator= (const XMFLOAT3X3& M) noexcept;
|
||
|
|
Matrix& operator= (const XMFLOAT4X3& M) noexcept;
|
||
|
|
Matrix& operator+= (const Matrix& M) noexcept;
|
||
|
|
Matrix& operator-= (const Matrix& M) noexcept;
|
||
|
|
Matrix& operator*= (const Matrix& M) noexcept;
|
||
|
|
Matrix& operator*= (float S) noexcept;
|
||
|
|
Matrix& operator/= (float S) noexcept;
|
||
|
|
|
||
|
|
Matrix& operator/= (const Matrix& M) noexcept;
|
||
|
|
// Element-wise divide
|
||
|
|
|
||
|
|
// Unary operators
|
||
|
|
Matrix operator+ () const noexcept { return *this; }
|
||
|
|
Matrix operator- () const noexcept;
|
||
|
|
|
||
|
|
// Properties
|
||
|
|
Vector3 Up() const noexcept { return Vector3(_21, _22, _23); }
|
||
|
|
void Up(const Vector3& v) noexcept { _21 = v.x; _22 = v.y; _23 = v.z; }
|
||
|
|
|
||
|
|
Vector3 Down() const noexcept { return Vector3(-_21, -_22, -_23); }
|
||
|
|
void Down(const Vector3& v) noexcept { _21 = -v.x; _22 = -v.y; _23 = -v.z; }
|
||
|
|
|
||
|
|
Vector3 Right() const noexcept { return Vector3(_11, _12, _13); }
|
||
|
|
void Right(const Vector3& v) noexcept { _11 = v.x; _12 = v.y; _13 = v.z; }
|
||
|
|
|
||
|
|
Vector3 Left() const noexcept { return Vector3(-_11, -_12, -_13); }
|
||
|
|
void Left(const Vector3& v) noexcept { _11 = -v.x; _12 = -v.y; _13 = -v.z; }
|
||
|
|
|
||
|
|
Vector3 Forward() const noexcept { return Vector3(-_31, -_32, -_33); }
|
||
|
|
void Forward(const Vector3& v) noexcept { _31 = -v.x; _32 = -v.y; _33 = -v.z; }
|
||
|
|
|
||
|
|
Vector3 Backward() const noexcept { return Vector3(_31, _32, _33); }
|
||
|
|
void Backward(const Vector3& v) noexcept { _31 = v.x; _32 = v.y; _33 = v.z; }
|
||
|
|
|
||
|
|
Vector3 Translation() const noexcept { return Vector3(_41, _42, _43); }
|
||
|
|
void Translation(const Vector3& v) noexcept { _41 = v.x; _42 = v.y; _43 = v.z; }
|
||
|
|
|
||
|
|
// Matrix operations
|
||
|
|
bool Decompose(Vector3& scale, Quaternion& rotation, Vector3& translation) noexcept;
|
||
|
|
|
||
|
|
Matrix Transpose() const noexcept;
|
||
|
|
void Transpose(Matrix& result) const noexcept;
|
||
|
|
|
||
|
|
Matrix Invert() const noexcept;
|
||
|
|
void Invert(Matrix& result) const noexcept;
|
||
|
|
|
||
|
|
float Determinant() const noexcept;
|
||
|
|
|
||
|
|
// Static functions
|
||
|
|
static Matrix CreateBillboard(
|
||
|
|
const Vector3& object, const Vector3& cameraPosition, const Vector3& cameraUp, _In_opt_ const Vector3* cameraForward = nullptr) noexcept;
|
||
|
|
|
||
|
|
static Matrix CreateConstrainedBillboard(
|
||
|
|
const Vector3& object, const Vector3& cameraPosition, const Vector3& rotateAxis,
|
||
|
|
_In_opt_ const Vector3* cameraForward = nullptr, _In_opt_ const Vector3* objectForward = nullptr) noexcept;
|
||
|
|
|
||
|
|
static Matrix CreateTranslation(const Vector3& position) noexcept;
|
||
|
|
static Matrix CreateTranslation(float x, float y, float z) noexcept;
|
||
|
|
|
||
|
|
static Matrix CreateScale(const Vector3& scales) noexcept;
|
||
|
|
static Matrix CreateScale(float xs, float ys, float zs) noexcept;
|
||
|
|
static Matrix CreateScale(float scale) noexcept;
|
||
|
|
|
||
|
|
static Matrix CreateRotationX(float radians) noexcept;
|
||
|
|
static Matrix CreateRotationY(float radians) noexcept;
|
||
|
|
static Matrix CreateRotationZ(float radians) noexcept;
|
||
|
|
|
||
|
|
static Matrix CreateFromAxisAngle(const Vector3& axis, float angle) noexcept;
|
||
|
|
|
||
|
|
static Matrix CreatePerspectiveFieldOfView(float fov, float aspectRatio, float nearPlane, float farPlane) noexcept;
|
||
|
|
static Matrix CreatePerspective(float width, float height, float nearPlane, float farPlane) noexcept;
|
||
|
|
static Matrix CreatePerspectiveOffCenter(float left, float right, float bottom, float top, float nearPlane, float farPlane) noexcept;
|
||
|
|
static Matrix CreateOrthographic(float width, float height, float zNearPlane, float zFarPlane) noexcept;
|
||
|
|
static Matrix CreateOrthographicOffCenter(float left, float right, float bottom, float top, float zNearPlane, float zFarPlane) noexcept;
|
||
|
|
|
||
|
|
static Matrix CreateLookAt(const Vector3& position, const Vector3& target, const Vector3& up) noexcept;
|
||
|
|
static Matrix CreateWorld(const Vector3& position, const Vector3& forward, const Vector3& up) noexcept;
|
||
|
|
|
||
|
|
static Matrix CreateFromQuaternion(const Quaternion& quat) noexcept;
|
||
|
|
|
||
|
|
static Matrix CreateFromYawPitchRoll(float yaw, float pitch, float roll) noexcept;
|
||
|
|
|
||
|
|
static Matrix CreateShadow(const Vector3& lightDir, const Plane& plane) noexcept;
|
||
|
|
|
||
|
|
static Matrix CreateReflection(const Plane& plane) noexcept;
|
||
|
|
|
||
|
|
static void Lerp(const Matrix& M1, const Matrix& M2, float t, Matrix& result) noexcept;
|
||
|
|
static Matrix Lerp(const Matrix& M1, const Matrix& M2, float t) noexcept;
|
||
|
|
|
||
|
|
static void Transform(const Matrix& M, const Quaternion& rotation, Matrix& result) noexcept;
|
||
|
|
static Matrix Transform(const Matrix& M, const Quaternion& rotation) noexcept;
|
||
|
|
|
||
|
|
// Constants
|
||
|
|
static const Matrix Identity;
|
||
|
|
};
|
||
|
|
|
||
|
|
// Binary operators
|
||
|
|
Matrix operator+ (const Matrix& M1, const Matrix& M2) noexcept;
|
||
|
|
Matrix operator- (const Matrix& M1, const Matrix& M2) noexcept;
|
||
|
|
Matrix operator* (const Matrix& M1, const Matrix& M2) noexcept;
|
||
|
|
Matrix operator* (const Matrix& M, float S) noexcept;
|
||
|
|
Matrix operator/ (const Matrix& M, float S) noexcept;
|
||
|
|
Matrix operator/ (const Matrix& M1, const Matrix& M2) noexcept;
|
||
|
|
// Element-wise divide
|
||
|
|
Matrix operator* (float S, const Matrix& M) noexcept;
|
||
|
|
|
||
|
|
|
||
|
|
//-----------------------------------------------------------------------------
|
||
|
|
// Plane
|
||
|
|
struct Plane : public XMFLOAT4
|
||
|
|
{
|
||
|
|
Plane() noexcept : XMFLOAT4(0.f, 1.f, 0.f, 0.f) {}
|
||
|
|
constexpr Plane(float ix, float iy, float iz, float iw) noexcept : XMFLOAT4(ix, iy, iz, iw) {}
|
||
|
|
Plane(const Vector3& normal, float d) noexcept : XMFLOAT4(normal.x, normal.y, normal.z, d) {}
|
||
|
|
Plane(const Vector3& point1, const Vector3& point2, const Vector3& point3) noexcept;
|
||
|
|
Plane(const Vector3& point, const Vector3& normal) noexcept;
|
||
|
|
explicit Plane(const Vector4& v) noexcept : XMFLOAT4(v.x, v.y, v.z, v.w) {}
|
||
|
|
explicit Plane(_In_reads_(4) const float *pArray) noexcept : XMFLOAT4(pArray) {}
|
||
|
|
Plane(FXMVECTOR V) noexcept { XMStoreFloat4(this, V); }
|
||
|
|
Plane(const XMFLOAT4& p) noexcept { this->x = p.x; this->y = p.y; this->z = p.z; this->w = p.w; }
|
||
|
|
explicit Plane(const XMVECTORF32& F) noexcept { this->x = F.f[0]; this->y = F.f[1]; this->z = F.f[2]; this->w = F.f[3]; }
|
||
|
|
|
||
|
|
Plane(const Plane&) = default;
|
||
|
|
Plane& operator=(const Plane&) = default;
|
||
|
|
|
||
|
|
Plane(Plane&&) = default;
|
||
|
|
Plane& operator=(Plane&&) = default;
|
||
|
|
|
||
|
|
operator XMVECTOR() const noexcept { return XMLoadFloat4(this); }
|
||
|
|
|
||
|
|
// Comparison operators
|
||
|
|
bool operator == (const Plane& p) const noexcept;
|
||
|
|
bool operator != (const Plane& p) const noexcept;
|
||
|
|
|
||
|
|
// Assignment operators
|
||
|
|
Plane& operator= (const XMVECTORF32& F) noexcept { x = F.f[0]; y = F.f[1]; z = F.f[2]; w = F.f[3]; return *this; }
|
||
|
|
|
||
|
|
// Properties
|
||
|
|
Vector3 Normal() const noexcept { return Vector3(x, y, z); }
|
||
|
|
void Normal(const Vector3& normal) noexcept { x = normal.x; y = normal.y; z = normal.z; }
|
||
|
|
|
||
|
|
float D() const noexcept { return w; }
|
||
|
|
void D(float d) noexcept { w = d; }
|
||
|
|
|
||
|
|
// Plane operations
|
||
|
|
void Normalize() noexcept;
|
||
|
|
void Normalize(Plane& result) const noexcept;
|
||
|
|
|
||
|
|
float Dot(const Vector4& v) const noexcept;
|
||
|
|
float DotCoordinate(const Vector3& position) const noexcept;
|
||
|
|
float DotNormal(const Vector3& normal) const noexcept;
|
||
|
|
|
||
|
|
// Static functions
|
||
|
|
static void Transform(const Plane& plane, const Matrix& M, Plane& result) noexcept;
|
||
|
|
static Plane Transform(const Plane& plane, const Matrix& M) noexcept;
|
||
|
|
|
||
|
|
static void Transform(const Plane& plane, const Quaternion& rotation, Plane& result) noexcept;
|
||
|
|
static Plane Transform(const Plane& plane, const Quaternion& rotation) noexcept;
|
||
|
|
// Input quaternion must be the inverse transpose of the transformation
|
||
|
|
};
|
||
|
|
|
||
|
|
//------------------------------------------------------------------------------
|
||
|
|
// Quaternion
|
||
|
|
struct Quaternion : public XMFLOAT4
|
||
|
|
{
|
||
|
|
Quaternion() noexcept : XMFLOAT4(0, 0, 0, 1.f) {}
|
||
|
|
constexpr Quaternion(float ix, float iy, float iz, float iw) noexcept : XMFLOAT4(ix, iy, iz, iw) {}
|
||
|
|
Quaternion(const Vector3& v, float scalar) noexcept : XMFLOAT4(v.x, v.y, v.z, scalar) {}
|
||
|
|
explicit Quaternion(const Vector4& v) noexcept : XMFLOAT4(v.x, v.y, v.z, v.w) {}
|
||
|
|
explicit Quaternion(_In_reads_(4) const float *pArray) noexcept : XMFLOAT4(pArray) {}
|
||
|
|
Quaternion(FXMVECTOR V) noexcept { XMStoreFloat4(this, V); }
|
||
|
|
Quaternion(const XMFLOAT4& q) noexcept { this->x = q.x; this->y = q.y; this->z = q.z; this->w = q.w; }
|
||
|
|
explicit Quaternion(const XMVECTORF32& F) noexcept { this->x = F.f[0]; this->y = F.f[1]; this->z = F.f[2]; this->w = F.f[3]; }
|
||
|
|
|
||
|
|
Quaternion(const Quaternion&) = default;
|
||
|
|
Quaternion& operator=(const Quaternion&) = default;
|
||
|
|
|
||
|
|
Quaternion(Quaternion&&) = default;
|
||
|
|
Quaternion& operator=(Quaternion&&) = default;
|
||
|
|
|
||
|
|
operator XMVECTOR() const noexcept { return XMLoadFloat4(this); }
|
||
|
|
|
||
|
|
// Comparison operators
|
||
|
|
bool operator == (const Quaternion& q) const noexcept;
|
||
|
|
bool operator != (const Quaternion& q) const noexcept;
|
||
|
|
|
||
|
|
// Assignment operators
|
||
|
|
Quaternion& operator= (const XMVECTORF32& F) noexcept { x = F.f[0]; y = F.f[1]; z = F.f[2]; w = F.f[3]; return *this; }
|
||
|
|
Quaternion& operator+= (const Quaternion& q) noexcept;
|
||
|
|
Quaternion& operator-= (const Quaternion& q) noexcept;
|
||
|
|
Quaternion& operator*= (const Quaternion& q) noexcept;
|
||
|
|
Quaternion& operator*= (float S) noexcept;
|
||
|
|
Quaternion& operator/= (const Quaternion& q) noexcept;
|
||
|
|
|
||
|
|
// Unary operators
|
||
|
|
Quaternion operator+ () const noexcept { return *this; }
|
||
|
|
Quaternion operator- () const noexcept;
|
||
|
|
|
||
|
|
// Quaternion operations
|
||
|
|
float Length() const noexcept;
|
||
|
|
float LengthSquared() const noexcept;
|
||
|
|
|
||
|
|
void Normalize() noexcept;
|
||
|
|
void Normalize(Quaternion& result) const noexcept;
|
||
|
|
|
||
|
|
void Conjugate() noexcept;
|
||
|
|
void Conjugate(Quaternion& result) const noexcept;
|
||
|
|
|
||
|
|
void Inverse(Quaternion& result) const noexcept;
|
||
|
|
|
||
|
|
float Dot(const Quaternion& Q) const noexcept;
|
||
|
|
|
||
|
|
// Static functions
|
||
|
|
static Quaternion CreateFromAxisAngle(const Vector3& axis, float angle) noexcept;
|
||
|
|
static Quaternion CreateFromYawPitchRoll(float yaw, float pitch, float roll) noexcept;
|
||
|
|
static Quaternion CreateFromRotationMatrix(const Matrix& M) noexcept;
|
||
|
|
|
||
|
|
static void Lerp(const Quaternion& q1, const Quaternion& q2, float t, Quaternion& result) noexcept;
|
||
|
|
static Quaternion Lerp(const Quaternion& q1, const Quaternion& q2, float t) noexcept;
|
||
|
|
|
||
|
|
static void Slerp(const Quaternion& q1, const Quaternion& q2, float t, Quaternion& result) noexcept;
|
||
|
|
static Quaternion Slerp(const Quaternion& q1, const Quaternion& q2, float t) noexcept;
|
||
|
|
|
||
|
|
static void Concatenate(const Quaternion& q1, const Quaternion& q2, Quaternion& result) noexcept;
|
||
|
|
static Quaternion Concatenate(const Quaternion& q1, const Quaternion& q2) noexcept;
|
||
|
|
|
||
|
|
// Constants
|
||
|
|
static const Quaternion Identity;
|
||
|
|
};
|
||
|
|
|
||
|
|
// Binary operators
|
||
|
|
Quaternion operator+ (const Quaternion& Q1, const Quaternion& Q2) noexcept;
|
||
|
|
Quaternion operator- (const Quaternion& Q1, const Quaternion& Q2) noexcept;
|
||
|
|
Quaternion operator* (const Quaternion& Q1, const Quaternion& Q2) noexcept;
|
||
|
|
Quaternion operator* (const Quaternion& Q, float S) noexcept;
|
||
|
|
Quaternion operator/ (const Quaternion& Q1, const Quaternion& Q2) noexcept;
|
||
|
|
Quaternion operator* (float S, const Quaternion& Q) noexcept;
|
||
|
|
|
||
|
|
//------------------------------------------------------------------------------
|
||
|
|
// Color
|
||
|
|
struct Color : public XMFLOAT4
|
||
|
|
{
|
||
|
|
Color() noexcept : XMFLOAT4(0, 0, 0, 1.f) {}
|
||
|
|
constexpr Color(float _r, float _g, float _b) noexcept : XMFLOAT4(_r, _g, _b, 1.f) {}
|
||
|
|
constexpr Color(float _r, float _g, float _b, float _a) noexcept : XMFLOAT4(_r, _g, _b, _a) {}
|
||
|
|
explicit Color(const Vector3& clr) noexcept : XMFLOAT4(clr.x, clr.y, clr.z, 1.f) {}
|
||
|
|
explicit Color(const Vector4& clr) noexcept : XMFLOAT4(clr.x, clr.y, clr.z, clr.w) {}
|
||
|
|
explicit Color(_In_reads_(4) const float *pArray) noexcept : XMFLOAT4(pArray) {}
|
||
|
|
Color(FXMVECTOR V) noexcept { XMStoreFloat4(this, V); }
|
||
|
|
Color(const XMFLOAT4& c) noexcept { this->x = c.x; this->y = c.y; this->z = c.z; this->w = c.w; }
|
||
|
|
explicit Color(const XMVECTORF32& F) noexcept { this->x = F.f[0]; this->y = F.f[1]; this->z = F.f[2]; this->w = F.f[3]; }
|
||
|
|
|
||
|
|
explicit Color(const DirectX::PackedVector::XMCOLOR& Packed) noexcept;
|
||
|
|
// BGRA Direct3D 9 D3DCOLOR packed color
|
||
|
|
|
||
|
|
explicit Color(const DirectX::PackedVector::XMUBYTEN4& Packed) noexcept;
|
||
|
|
// RGBA XNA Game Studio packed color
|
||
|
|
|
||
|
|
Color(const Color&) = default;
|
||
|
|
Color& operator=(const Color&) = default;
|
||
|
|
|
||
|
|
Color(Color&&) = default;
|
||
|
|
Color& operator=(Color&&) = default;
|
||
|
|
|
||
|
|
operator XMVECTOR() const noexcept { return XMLoadFloat4(this); }
|
||
|
|
operator const float*() const noexcept { return reinterpret_cast<const float*>(this); }
|
||
|
|
|
||
|
|
// Comparison operators
|
||
|
|
bool operator == (const Color& c) const noexcept;
|
||
|
|
bool operator != (const Color& c) const noexcept;
|
||
|
|
|
||
|
|
// Assignment operators
|
||
|
|
Color& operator= (const XMVECTORF32& F) noexcept { x = F.f[0]; y = F.f[1]; z = F.f[2]; w = F.f[3]; return *this; }
|
||
|
|
Color& operator= (const DirectX::PackedVector::XMCOLOR& Packed) noexcept;
|
||
|
|
Color& operator= (const DirectX::PackedVector::XMUBYTEN4& Packed) noexcept;
|
||
|
|
Color& operator+= (const Color& c) noexcept;
|
||
|
|
Color& operator-= (const Color& c) noexcept;
|
||
|
|
Color& operator*= (const Color& c) noexcept;
|
||
|
|
Color& operator*= (float S) noexcept;
|
||
|
|
Color& operator/= (const Color& c) noexcept;
|
||
|
|
|
||
|
|
// Unary operators
|
||
|
|
Color operator+ () const noexcept { return *this; }
|
||
|
|
Color operator- () const noexcept;
|
||
|
|
|
||
|
|
// Properties
|
||
|
|
float R() const noexcept { return x; }
|
||
|
|
void R(float r) noexcept { x = r; }
|
||
|
|
|
||
|
|
float G() const noexcept { return y; }
|
||
|
|
void G(float g) noexcept { y = g; }
|
||
|
|
|
||
|
|
float B() const noexcept { return z; }
|
||
|
|
void B(float b) noexcept { z = b; }
|
||
|
|
|
||
|
|
float A() const noexcept { return w; }
|
||
|
|
void A(float a) noexcept { w = a; }
|
||
|
|
|
||
|
|
// Color operations
|
||
|
|
DirectX::PackedVector::XMCOLOR BGRA() const noexcept;
|
||
|
|
DirectX::PackedVector::XMUBYTEN4 RGBA() const noexcept;
|
||
|
|
|
||
|
|
Vector3 ToVector3() const noexcept;
|
||
|
|
Vector4 ToVector4() const noexcept;
|
||
|
|
|
||
|
|
void Negate() noexcept;
|
||
|
|
void Negate(Color& result) const noexcept;
|
||
|
|
|
||
|
|
void Saturate() noexcept;
|
||
|
|
void Saturate(Color& result) const noexcept;
|
||
|
|
|
||
|
|
void Premultiply() noexcept;
|
||
|
|
void Premultiply(Color& result) const noexcept;
|
||
|
|
|
||
|
|
void AdjustSaturation(float sat) noexcept;
|
||
|
|
void AdjustSaturation(float sat, Color& result) const noexcept;
|
||
|
|
|
||
|
|
void AdjustContrast(float contrast) noexcept;
|
||
|
|
void AdjustContrast(float contrast, Color& result) const noexcept;
|
||
|
|
|
||
|
|
// Static functions
|
||
|
|
static void Modulate(const Color& c1, const Color& c2, Color& result) noexcept;
|
||
|
|
static Color Modulate(const Color& c1, const Color& c2) noexcept;
|
||
|
|
|
||
|
|
static void Lerp(const Color& c1, const Color& c2, float t, Color& result) noexcept;
|
||
|
|
static Color Lerp(const Color& c1, const Color& c2, float t) noexcept;
|
||
|
|
};
|
||
|
|
|
||
|
|
// Binary operators
|
||
|
|
Color operator+ (const Color& C1, const Color& C2) noexcept;
|
||
|
|
Color operator- (const Color& C1, const Color& C2) noexcept;
|
||
|
|
Color operator* (const Color& C1, const Color& C2) noexcept;
|
||
|
|
Color operator* (const Color& C, float S) noexcept;
|
||
|
|
Color operator/ (const Color& C1, const Color& C2) noexcept;
|
||
|
|
Color operator* (float S, const Color& C) noexcept;
|
||
|
|
|
||
|
|
//------------------------------------------------------------------------------
|
||
|
|
// Ray
|
||
|
|
class Ray
|
||
|
|
{
|
||
|
|
public:
|
||
|
|
Vector3 position;
|
||
|
|
Vector3 direction;
|
||
|
|
|
||
|
|
Ray() noexcept : position(0, 0, 0), direction(0, 0, 1) {}
|
||
|
|
Ray(const Vector3& pos, const Vector3& dir) noexcept : position(pos), direction(dir) {}
|
||
|
|
|
||
|
|
Ray(const Ray&) = default;
|
||
|
|
Ray& operator=(const Ray&) = default;
|
||
|
|
|
||
|
|
Ray(Ray&&) = default;
|
||
|
|
Ray& operator=(Ray&&) = default;
|
||
|
|
|
||
|
|
// Comparison operators
|
||
|
|
bool operator == (const Ray& r) const noexcept;
|
||
|
|
bool operator != (const Ray& r) const noexcept;
|
||
|
|
|
||
|
|
// Ray operations
|
||
|
|
bool Intersects(const BoundingSphere& sphere, _Out_ float& Dist) const noexcept;
|
||
|
|
bool Intersects(const BoundingBox& box, _Out_ float& Dist) const noexcept;
|
||
|
|
bool Intersects(const Vector3& tri0, const Vector3& tri1, const Vector3& tri2, _Out_ float& Dist) const noexcept;
|
||
|
|
bool Intersects(const Plane& plane, _Out_ float& Dist) const noexcept;
|
||
|
|
};
|
||
|
|
|
||
|
|
//------------------------------------------------------------------------------
|
||
|
|
// Viewport
|
||
|
|
class Viewport
|
||
|
|
{
|
||
|
|
public:
|
||
|
|
float x;
|
||
|
|
float y;
|
||
|
|
float width;
|
||
|
|
float height;
|
||
|
|
float minDepth;
|
||
|
|
float maxDepth;
|
||
|
|
|
||
|
|
Viewport() noexcept :
|
||
|
|
x(0.f), y(0.f), width(0.f), height(0.f), minDepth(0.f), maxDepth(1.f) {}
|
||
|
|
constexpr Viewport(float ix, float iy, float iw, float ih, float iminz = 0.f, float imaxz = 1.f) noexcept :
|
||
|
|
x(ix), y(iy), width(iw), height(ih), minDepth(iminz), maxDepth(imaxz) {}
|
||
|
|
explicit Viewport(const RECT& rct) noexcept :
|
||
|
|
x(float(rct.left)), y(float(rct.top)),
|
||
|
|
width(float(rct.right - rct.left)),
|
||
|
|
height(float(rct.bottom - rct.top)),
|
||
|
|
minDepth(0.f), maxDepth(1.f) {}
|
||
|
|
|
||
|
|
#if defined(__d3d11_h__) || defined(__d3d11_x_h__)
|
||
|
|
// Direct3D 11 interop
|
||
|
|
explicit Viewport(const D3D11_VIEWPORT& vp) noexcept :
|
||
|
|
x(vp.TopLeftX), y(vp.TopLeftY),
|
||
|
|
width(vp.Width), height(vp.Height),
|
||
|
|
minDepth(vp.MinDepth), maxDepth(vp.MaxDepth) {}
|
||
|
|
|
||
|
|
operator D3D11_VIEWPORT() noexcept { return *reinterpret_cast<const D3D11_VIEWPORT*>(this); }
|
||
|
|
const D3D11_VIEWPORT* Get11() const noexcept { return reinterpret_cast<const D3D11_VIEWPORT*>(this); }
|
||
|
|
Viewport& operator= (const D3D11_VIEWPORT& vp) noexcept;
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#if defined(__d3d12_h__) || defined(__d3d12_x_h__) || defined(__XBOX_D3D12_X__)
|
||
|
|
// Direct3D 12 interop
|
||
|
|
explicit Viewport(const D3D12_VIEWPORT& vp) noexcept :
|
||
|
|
x(vp.TopLeftX), y(vp.TopLeftY),
|
||
|
|
width(vp.Width), height(vp.Height),
|
||
|
|
minDepth(vp.MinDepth), maxDepth(vp.MaxDepth) {}
|
||
|
|
|
||
|
|
operator D3D12_VIEWPORT() noexcept { return *reinterpret_cast<const D3D12_VIEWPORT*>(this); }
|
||
|
|
const D3D12_VIEWPORT* Get12() const noexcept { return reinterpret_cast<const D3D12_VIEWPORT*>(this); }
|
||
|
|
Viewport& operator= (const D3D12_VIEWPORT& vp) noexcept;
|
||
|
|
#endif
|
||
|
|
|
||
|
|
Viewport(const Viewport&) = default;
|
||
|
|
Viewport& operator=(const Viewport&) = default;
|
||
|
|
|
||
|
|
Viewport(Viewport&&) = default;
|
||
|
|
Viewport& operator=(Viewport&&) = default;
|
||
|
|
|
||
|
|
// Comparison operators
|
||
|
|
bool operator == (const Viewport& vp) const noexcept;
|
||
|
|
bool operator != (const Viewport& vp) const noexcept;
|
||
|
|
|
||
|
|
// Assignment operators
|
||
|
|
Viewport& operator= (const RECT& rct) noexcept;
|
||
|
|
|
||
|
|
// Viewport operations
|
||
|
|
float AspectRatio() const noexcept;
|
||
|
|
|
||
|
|
Vector3 Project(const Vector3& p, const Matrix& proj, const Matrix& view, const Matrix& world) const noexcept;
|
||
|
|
void Project(const Vector3& p, const Matrix& proj, const Matrix& view, const Matrix& world, Vector3& result) const noexcept;
|
||
|
|
|
||
|
|
Vector3 Unproject(const Vector3& p, const Matrix& proj, const Matrix& view, const Matrix& world) const noexcept;
|
||
|
|
void Unproject(const Vector3& p, const Matrix& proj, const Matrix& view, const Matrix& world, Vector3& result) const noexcept;
|
||
|
|
|
||
|
|
// Static methods
|
||
|
|
static RECT __cdecl ComputeDisplayArea(DXGI_SCALING scaling, UINT backBufferWidth, UINT backBufferHeight, int outputWidth, int outputHeight) noexcept;
|
||
|
|
static RECT __cdecl ComputeTitleSafeArea(UINT backBufferWidth, UINT backBufferHeight) noexcept;
|
||
|
|
};
|
||
|
|
|
||
|
|
#include "SimpleMath.inl"
|
||
|
|
|
||
|
|
} // namespace SimpleMath
|
||
|
|
|
||
|
|
} // namespace DirectX
|
||
|
|
|
||
|
|
//------------------------------------------------------------------------------
|
||
|
|
// Support for SimpleMath and Standard C++ Library containers
|
||
|
|
namespace std
|
||
|
|
{
|
||
|
|
|
||
|
|
template<> struct less<DirectX::SimpleMath::Rectangle>
|
||
|
|
{
|
||
|
|
bool operator()(const DirectX::SimpleMath::Rectangle& r1, const DirectX::SimpleMath::Rectangle& r2) const noexcept
|
||
|
|
{
|
||
|
|
return ((r1.x < r2.x)
|
||
|
|
|| ((r1.x == r2.x) && (r1.y < r2.y))
|
||
|
|
|| ((r1.x == r2.x) && (r1.y == r2.y) && (r1.width < r2.width))
|
||
|
|
|| ((r1.x == r2.x) && (r1.y == r2.y) && (r1.width == r2.width) && (r1.height < r2.height)));
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template<> struct less<DirectX::SimpleMath::Vector2>
|
||
|
|
{
|
||
|
|
bool operator()(const DirectX::SimpleMath::Vector2& V1, const DirectX::SimpleMath::Vector2& V2) const noexcept
|
||
|
|
{
|
||
|
|
return ((V1.x < V2.x) || ((V1.x == V2.x) && (V1.y < V2.y)));
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template<> struct less<DirectX::SimpleMath::Vector3>
|
||
|
|
{
|
||
|
|
bool operator()(const DirectX::SimpleMath::Vector3& V1, const DirectX::SimpleMath::Vector3& V2) const noexcept
|
||
|
|
{
|
||
|
|
return ((V1.x < V2.x)
|
||
|
|
|| ((V1.x == V2.x) && (V1.y < V2.y))
|
||
|
|
|| ((V1.x == V2.x) && (V1.y == V2.y) && (V1.z < V2.z)));
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template<> struct less<DirectX::SimpleMath::Vector4>
|
||
|
|
{
|
||
|
|
bool operator()(const DirectX::SimpleMath::Vector4& V1, const DirectX::SimpleMath::Vector4& V2) const noexcept
|
||
|
|
{
|
||
|
|
return ((V1.x < V2.x)
|
||
|
|
|| ((V1.x == V2.x) && (V1.y < V2.y))
|
||
|
|
|| ((V1.x == V2.x) && (V1.y == V2.y) && (V1.z < V2.z))
|
||
|
|
|| ((V1.x == V2.x) && (V1.y == V2.y) && (V1.z == V2.z) && (V1.w < V2.w)));
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template<> struct less<DirectX::SimpleMath::Matrix>
|
||
|
|
{
|
||
|
|
bool operator()(const DirectX::SimpleMath::Matrix& M1, const DirectX::SimpleMath::Matrix& M2) const noexcept
|
||
|
|
{
|
||
|
|
if (M1._11 != M2._11) return M1._11 < M2._11;
|
||
|
|
if (M1._12 != M2._12) return M1._12 < M2._12;
|
||
|
|
if (M1._13 != M2._13) return M1._13 < M2._13;
|
||
|
|
if (M1._14 != M2._14) return M1._14 < M2._14;
|
||
|
|
if (M1._21 != M2._21) return M1._21 < M2._21;
|
||
|
|
if (M1._22 != M2._22) return M1._22 < M2._22;
|
||
|
|
if (M1._23 != M2._23) return M1._23 < M2._23;
|
||
|
|
if (M1._24 != M2._24) return M1._24 < M2._24;
|
||
|
|
if (M1._31 != M2._31) return M1._31 < M2._31;
|
||
|
|
if (M1._32 != M2._32) return M1._32 < M2._32;
|
||
|
|
if (M1._33 != M2._33) return M1._33 < M2._33;
|
||
|
|
if (M1._34 != M2._34) return M1._34 < M2._34;
|
||
|
|
if (M1._41 != M2._41) return M1._41 < M2._41;
|
||
|
|
if (M1._42 != M2._42) return M1._42 < M2._42;
|
||
|
|
if (M1._43 != M2._43) return M1._43 < M2._43;
|
||
|
|
if (M1._44 != M2._44) return M1._44 < M2._44;
|
||
|
|
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template<> struct less<DirectX::SimpleMath::Plane>
|
||
|
|
{
|
||
|
|
bool operator()(const DirectX::SimpleMath::Plane& P1, const DirectX::SimpleMath::Plane& P2) const noexcept
|
||
|
|
{
|
||
|
|
return ((P1.x < P2.x)
|
||
|
|
|| ((P1.x == P2.x) && (P1.y < P2.y))
|
||
|
|
|| ((P1.x == P2.x) && (P1.y == P2.y) && (P1.z < P2.z))
|
||
|
|
|| ((P1.x == P2.x) && (P1.y == P2.y) && (P1.z == P2.z) && (P1.w < P2.w)));
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template<> struct less<DirectX::SimpleMath::Quaternion>
|
||
|
|
{
|
||
|
|
bool operator()(const DirectX::SimpleMath::Quaternion& Q1, const DirectX::SimpleMath::Quaternion& Q2) const noexcept
|
||
|
|
{
|
||
|
|
return ((Q1.x < Q2.x)
|
||
|
|
|| ((Q1.x == Q2.x) && (Q1.y < Q2.y))
|
||
|
|
|| ((Q1.x == Q2.x) && (Q1.y == Q2.y) && (Q1.z < Q2.z))
|
||
|
|
|| ((Q1.x == Q2.x) && (Q1.y == Q2.y) && (Q1.z == Q2.z) && (Q1.w < Q2.w)));
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template<> struct less<DirectX::SimpleMath::Color>
|
||
|
|
{
|
||
|
|
bool operator()(const DirectX::SimpleMath::Color& C1, const DirectX::SimpleMath::Color& C2) const noexcept
|
||
|
|
{
|
||
|
|
return ((C1.x < C2.x)
|
||
|
|
|| ((C1.x == C2.x) && (C1.y < C2.y))
|
||
|
|
|| ((C1.x == C2.x) && (C1.y == C2.y) && (C1.z < C2.z))
|
||
|
|
|| ((C1.x == C2.x) && (C1.y == C2.y) && (C1.z == C2.z) && (C1.w < C2.w)));
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template<> struct less<DirectX::SimpleMath::Ray>
|
||
|
|
{
|
||
|
|
bool operator()(const DirectX::SimpleMath::Ray& R1, const DirectX::SimpleMath::Ray& R2) const noexcept
|
||
|
|
{
|
||
|
|
if (R1.position.x != R2.position.x) return R1.position.x < R2.position.x;
|
||
|
|
if (R1.position.y != R2.position.y) return R1.position.y < R2.position.y;
|
||
|
|
if (R1.position.z != R2.position.z) return R1.position.z < R2.position.z;
|
||
|
|
|
||
|
|
if (R1.direction.x != R2.direction.x) return R1.direction.x < R2.direction.x;
|
||
|
|
if (R1.direction.y != R2.direction.y) return R1.direction.y < R2.direction.y;
|
||
|
|
if (R1.direction.z != R2.direction.z) return R1.direction.z < R2.direction.z;
|
||
|
|
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template<> struct less<DirectX::SimpleMath::Viewport>
|
||
|
|
{
|
||
|
|
bool operator()(const DirectX::SimpleMath::Viewport& vp1, const DirectX::SimpleMath::Viewport& vp2) const noexcept
|
||
|
|
{
|
||
|
|
if (vp1.x != vp2.x) return (vp1.x < vp2.x);
|
||
|
|
if (vp1.y != vp2.y) return (vp1.y < vp2.y);
|
||
|
|
|
||
|
|
if (vp1.width != vp2.width) return (vp1.width < vp2.width);
|
||
|
|
if (vp1.height != vp2.height) return (vp1.height < vp2.height);
|
||
|
|
|
||
|
|
if (vp1.minDepth != vp2.minDepth) return (vp1.minDepth < vp2.minDepth);
|
||
|
|
if (vp1.maxDepth != vp2.maxDepth) return (vp1.maxDepth < vp2.maxDepth);
|
||
|
|
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
} // namespace std
|
||
|
|
|
||
|
|
#ifdef __clang__
|
||
|
|
#pragma clang diagnostic pop
|
||
|
|
#endif
|