diff options
| author | daoge_cmd <3523206925@qq.com> | 2026-03-01 12:16:08 +0800 |
|---|---|---|
| committer | daoge_cmd <3523206925@qq.com> | 2026-03-01 12:16:08 +0800 |
| commit | b691c43c44ff180d10e7d4a9afc83b98551ff586 (patch) | |
| tree | 3e9849222cbc6ba49f2f1fc6e5fe7179632c7390 /Minecraft.Client/PS3/PS3Extras/DirectX/DirectXMath.h | |
| parent | def8cb415354ac390b7e89052a50605285f1aca9 (diff) | |
Initial commit
Diffstat (limited to 'Minecraft.Client/PS3/PS3Extras/DirectX/DirectXMath.h')
| -rw-r--r-- | Minecraft.Client/PS3/PS3Extras/DirectX/DirectXMath.h | 1861 |
1 files changed, 1861 insertions, 0 deletions
diff --git a/Minecraft.Client/PS3/PS3Extras/DirectX/DirectXMath.h b/Minecraft.Client/PS3/PS3Extras/DirectX/DirectXMath.h new file mode 100644 index 00000000..c79ef233 --- /dev/null +++ b/Minecraft.Client/PS3/PS3Extras/DirectX/DirectXMath.h @@ -0,0 +1,1861 @@ +//------------------------------------------------------------------------------------- +// DirectXMath.h -- SIMD C++ Math library +// +// THIS CODE AND INFORMATION IS PROVIDED "AS IS" WITHOUT WARRANTY OF +// ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING BUT NOT LIMITED TO +// THE IMPLIED WARRANTIES OF MERCHANTABILITY AND/OR FITNESS FOR A +// PARTICULAR PURPOSE. +// +// Copyright (c) Microsoft Corporation. All rights reserved. +//------------------------------------------------------------------------------------- + + +// MGH ------------------- +#define _XM_BIGENDIAN_ +#define _XM_NO_INTRINSICS_ +// ----------------------- + +#ifdef _MSC_VER +#pragma once +#endif + +#ifndef __cplusplus +#error DirectX Math requires C++ +#endif + +#define DIRECTX_MATH_VERSION 303 + +#if !defined(_XM_BIGENDIAN_) && !defined(_XM_LITTLEENDIAN_) +#if defined(_M_AMD64) || defined(_M_IX86) || defined(_M_ARM) +#define _XM_LITTLEENDIAN_ +#elif defined(_M_PPCBE) +#define _XM_BIGENDIAN_ +#else +#error DirectX Math does not support this target +#endif +#endif // !_XM_BIGENDIAN_ && !_XM_LITTLEENDIAN_ + + + +#if !defined(_XM_ARM_NEON_INTRINSICS_) && !defined(_XM_SSE_INTRINSICS_) && !defined(_XM_VMX128_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) +#if defined(_M_IX86) || defined(_M_AMD64) +#define _XM_SSE_INTRINSICS_ +#elif defined(_M_PPCBE) +#define _XM_VMX128_INTRINSICS_ +#elif defined(_M_ARM) +#define _XM_ARM_NEON_INTRINSICS_ +#elif !defined(_XM_NO_INTRINSICS_) +#error DirectX Math does not support this target +#endif +#endif // !_XM_ARM_NEON_INTRINSICS_ && !_XM_SSE_INTRINSICS_ && !_XM_VMX128_INTRINSICS_ && !_XM_NO_INTRINSICS_ + +#pragma warning(push) +#pragma warning(disable:4514 4820 4985) +#include <cmath> +#include <float.h> +// MGH - #include <malloc.h> +#pragma warning(pop) + + +#if defined(_XM_SSE_INTRINSICS_) +#ifndef _XM_NO_INTRINSICS_ +#include <xmmintrin.h> +#include <emmintrin.h> +#endif +#elif defined(_XM_VMX128_INTRINSICS_) +#error This version of DirectX Math does not support Xbox 360 +#elif defined(_XM_ARM_NEON_INTRINSICS_) +#ifndef _XM_NO_INTRINSICS_ +#include <arm_neon.h> +#endif +#endif + + + +#include <DirectX/no_sal2.h> +#include <assert.h> + + +#pragma warning(push) +#pragma warning(disable : 4005 4668) +#include <stdint.h> +#pragma warning(pop) + + +namespace DirectX +{ + +/**************************************************************************** + * + * Constant definitions + * + ****************************************************************************/ + +#if defined(__XNAMATH_H__) && defined(XM_PI) +#undef XM_PI +#undef XM_2PI +#undef XM_1DIVPI +#undef XM_1DIV2PI +#undef XM_PIDIV2 +#undef XM_PIDIV4 +#undef XM_SELECT_0 +#undef XM_SELECT_1 +#undef XM_PERMUTE_0X +#undef XM_PERMUTE_0Y +#undef XM_PERMUTE_0Z +#undef XM_PERMUTE_0W +#undef XM_PERMUTE_1X +#undef XM_PERMUTE_1Y +#undef XM_PERMUTE_1Z +#undef XM_PERMUTE_1W +#undef XM_CRMASK_CR6 +#undef XM_CRMASK_CR6TRUE +#undef XM_CRMASK_CR6FALSE +#undef XM_CRMASK_CR6BOUNDS +#undef XM_CACHE_LINE_SIZE +#endif + +const float XM_PI = 3.141592654f; +const float XM_2PI = 6.283185307f; +const float XM_1DIVPI = 0.318309886f; +const float XM_1DIV2PI = 0.159154943f; +const float XM_PIDIV2 = 1.570796327f; +const float XM_PIDIV4 = 0.785398163f; + +const uint32_t XM_SELECT_0 = 0x00000000; +const uint32_t XM_SELECT_1 = 0xFFFFFFFF; + +const uint32_t XM_PERMUTE_0X = 0; +const uint32_t XM_PERMUTE_0Y = 1; +const uint32_t XM_PERMUTE_0Z = 2; +const uint32_t XM_PERMUTE_0W = 3; +const uint32_t XM_PERMUTE_1X = 4; +const uint32_t XM_PERMUTE_1Y = 5; +const uint32_t XM_PERMUTE_1Z = 6; +const uint32_t XM_PERMUTE_1W = 7; + +const uint32_t XM_SWIZZLE_X = 0; +const uint32_t XM_SWIZZLE_Y = 1; +const uint32_t XM_SWIZZLE_Z = 2; +const uint32_t XM_SWIZZLE_W = 3; + +const uint32_t XM_CRMASK_CR6 = 0x000000F0; +const uint32_t XM_CRMASK_CR6TRUE = 0x00000080; +const uint32_t XM_CRMASK_CR6FALSE = 0x00000020; +const uint32_t XM_CRMASK_CR6BOUNDS = XM_CRMASK_CR6FALSE; + + + +/**************************************************************************** + * + * Macros + * + ****************************************************************************/ + +#if defined(__XNAMATH_H__) && defined(XMComparisonAllTrue) +#undef XMComparisonAllTrue +#undef XMComparisonAnyTrue +#undef XMComparisonAllFalse +#undef XMComparisonAnyFalse +#undef XMComparisonMixed +#undef XMComparisonAllInBounds +#undef XMComparisonAnyOutOfBounds +#endif + +// Unit conversion + +inline float XMConvertToRadians(float fDegrees) { return fDegrees * (XM_PI / 180.0f); } +inline float XMConvertToDegrees(float fRadians) { return fRadians * (180.0f / XM_PI); } + +// Condition register evaluation proceeding a recording (R) comparison + +inline bool XMComparisonAllTrue(uint32_t CR) { return (((CR) & XM_CRMASK_CR6TRUE) == XM_CRMASK_CR6TRUE); } +inline bool XMComparisonAnyTrue(uint32_t CR) { return (((CR) & XM_CRMASK_CR6FALSE) != XM_CRMASK_CR6FALSE); } +inline bool XMComparisonAllFalse(uint32_t CR) { return (((CR) & XM_CRMASK_CR6FALSE) == XM_CRMASK_CR6FALSE); } +inline bool XMComparisonAnyFalse(uint32_t CR) { return (((CR) & XM_CRMASK_CR6TRUE) != XM_CRMASK_CR6TRUE); } +inline bool XMComparisonMixed(uint32_t CR) { return (((CR) & XM_CRMASK_CR6) == 0); } +inline bool XMComparisonAllInBounds(uint32_t CR) { return (((CR) & XM_CRMASK_CR6BOUNDS) == XM_CRMASK_CR6BOUNDS); } +inline bool XMComparisonAnyOutOfBounds(uint32_t CR) { return (((CR) & XM_CRMASK_CR6BOUNDS) != XM_CRMASK_CR6BOUNDS); } + + +/**************************************************************************** + * + * Data types + * + ****************************************************************************/ + +#pragma warning(push) +#pragma warning(disable:4068 4201 4365 4324 4820) + +#pragma prefast(push) +#pragma prefast(disable : 25000, "FXMVECTOR is 16 bytes") + +#ifdef _XM_BIGENDIAN_ +#pragma bitfield_order(push) +#pragma bitfield_order(lsb_to_msb) +#endif + +//------------------------------------------------------------------------------ +#if defined(_XM_NO_INTRINSICS_) && !defined(_M_PPCBE) +// The __vector4 structure is an intrinsic on Xbox but must be separately defined +// for x86/x64 +struct __vector4 +{ + union + { + float vector4_f32[4]; + uint32_t vector4_u32[4]; + // MGH - added to match 360 version +//---------------------- +struct + { + float x; + float y; + float z; + float w; + }; + float v[4]; + uint32_t u[4]; +//---------------------- + + }; +}; +#endif // _XM_NO_INTRINSICS_ + +//------------------------------------------------------------------------------ +#if (defined (_M_IX86) || defined(_M_AMD64) || defined(_M_ARM)) && defined(_XM_NO_INTRINSICS_) +typedef uint32_t __vector4i[4]; +#else +typedef __declspec(align(16)) uint32_t __vector4i[4]; +#endif + +//------------------------------------------------------------------------------ +// Vector intrinsic: Four 32 bit floating point components aligned on a 16 byte +// boundary and mapped to hardware vector registers +#if defined(_XM_SSE_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) +typedef __m128 XMVECTOR; +#elif defined(_XM_ARM_NEON_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) +typedef __n128 XMVECTOR; +#else +typedef __vector4 XMVECTOR; +#endif + +// Fix-up for (1st-3rd) XMVECTOR parameters that are pass-in-register for x86, ARM, and Xbox 360; by reference otherwise +#if ( defined(_M_IX86) || defined(_M_ARM) || defined(_XM_VMX128_INTRINSICS_) ) && !defined(_XM_NO_INTRINSICS_) +typedef const XMVECTOR FXMVECTOR; +#else +typedef const XMVECTOR& FXMVECTOR; +#endif + +// Fix-up for (4th) XMVECTOR parameter to pass in-register for ARM and Xbox 360; by reference otherwise +#if ( defined(_M_ARM) || defined(_XM_VMX128_INTRINSICS_) ) && !defined(_XM_NO_INTRINSICS_) +typedef const XMVECTOR GXMVECTOR; +#else +typedef const XMVECTOR& GXMVECTOR; +#endif + +// Fix-up for (5th+) XMVECTOR parameters to pass in-register for Xbox 360 and by reference otherwise +#if defined(_XM_VMX128_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) +typedef const XMVECTOR CXMVECTOR; +#else +typedef const XMVECTOR& CXMVECTOR; +#endif + +//------------------------------------------------------------------------------ +// Conversion types for constants +__declspec(align(16)) struct XMVECTORF32 +{ + union + { + float f[4]; + XMVECTOR v; + }; + + inline operator XMVECTOR() const { return v; } + inline operator const float*() const { return f; } +#if !defined(_XM_NO_INTRINSICS_) && defined(_XM_SSE_INTRINSICS_) + inline operator __m128i() const { return _mm_castps_si128(v); } + inline operator __m128d() const { return _mm_castps_pd(v); } +#endif +}; + +__declspec(align(16)) struct XMVECTORI32 +{ + union + { + int32_t i[4]; + XMVECTOR v; + }; + + inline operator XMVECTOR() const { return v; } +#if !defined(_XM_NO_INTRINSICS_) && defined(_XM_SSE_INTRINSICS_) + inline operator __m128i() const { return _mm_castps_si128(v); } + inline operator __m128d() const { return _mm_castps_pd(v); } +#endif +}; + +__declspec(align(16)) struct XMVECTORU8 +{ + union + { + uint8_t u[16]; + XMVECTOR v; + }; + + inline operator XMVECTOR() const { return v; } +#if !defined(_XM_NO_INTRINSICS_) && defined(_XM_SSE_INTRINSICS_) + inline operator __m128i() const { return _mm_castps_si128(v); } + inline operator __m128d() const { return _mm_castps_pd(v); } +#endif +}; + +__declspec(align(16)) struct XMVECTORU32 +{ + union + { + uint32_t u[4]; + XMVECTOR v; + }; + + inline operator XMVECTOR() const { return v; } +#if !defined(_XM_NO_INTRINSICS_) && defined(_XM_SSE_INTRINSICS_) + inline operator __m128i() const { return _mm_castps_si128(v); } + inline operator __m128d() const { return _mm_castps_pd(v); } +#endif +}; + +//------------------------------------------------------------------------------ +// Vector operators +XMVECTOR operator+ (FXMVECTOR V); +XMVECTOR operator- (FXMVECTOR V); + +XMVECTOR& operator+= (XMVECTOR& V1, FXMVECTOR V2); +XMVECTOR& operator-= (XMVECTOR& V1, FXMVECTOR V2); +XMVECTOR& operator*= (XMVECTOR& V1, FXMVECTOR V2); +XMVECTOR& operator/= (XMVECTOR& V1, FXMVECTOR V2); +XMVECTOR& operator*= (XMVECTOR& V, float S); +XMVECTOR& operator/= (XMVECTOR& V, float S); + +XMVECTOR operator+ (FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR operator- (FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR operator* (FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR operator/ (FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR operator* (FXMVECTOR V, float S); +XMVECTOR operator* (float S, FXMVECTOR V); +XMVECTOR operator/ (FXMVECTOR V, float S); + +//------------------------------------------------------------------------------ +// Matrix type: Sixteen 32 bit floating point components aligned on a +// 16 byte boundary and mapped to four hardware vector registers + +struct XMMATRIX; + +// Fix-up for XMMATRIX parameters to pass in-register on Xbox 360, by reference otherwise +#if defined(_XM_VMX128_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) +typedef const XMMATRIX CXMMATRIX; +#else +typedef const XMMATRIX& CXMMATRIX; +#endif + +#if (defined(_M_IX86) || defined(_M_AMD64) || defined(_M_ARM)) && defined(_XM_NO_INTRINSICS_) +struct XMMATRIX +#else +__declspec(align(16)) struct XMMATRIX +#endif +{ +#ifdef _XM_NO_INTRINSICS_ + union + { + XMVECTOR r[4]; + struct + { + float _11, _12, _13, _14; + float _21, _22, _23, _24; + float _31, _32, _33, _34; + float _41, _42, _43, _44; + }; + float m[4][4]; + }; +#else + XMVECTOR r[4]; +#endif + + XMMATRIX() {} + XMMATRIX(FXMVECTOR R0, FXMVECTOR R1, FXMVECTOR R2, GXMVECTOR R3) { r[0] = R0; r[1] = R1; r[2] = R2; r[3] = R3; } + XMMATRIX(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); + explicit XMMATRIX(_In_reads_(16) const float *pArray); + +#ifdef _XM_NO_INTRINSICS_ + float operator() (size_t Row, size_t Column) const { return m[Row][Column]; } + float& operator() (size_t Row, size_t Column) { return m[Row][Column]; } +#endif + + XMMATRIX& operator= (const XMMATRIX& M) { r[0] = M.r[0]; r[1] = M.r[1]; r[2] = M.r[2]; r[3] = M.r[3]; return *this; } + + XMMATRIX operator+ () const { return *this; } + XMMATRIX operator- () const; + + XMMATRIX& operator+= (CXMMATRIX M); + XMMATRIX& operator-= (CXMMATRIX M); + XMMATRIX& operator*= (CXMMATRIX M); + XMMATRIX& operator*= (float S); + XMMATRIX& operator/= (float S); + + XMMATRIX operator+ (CXMMATRIX M) const; + XMMATRIX operator- (CXMMATRIX M) const; + XMMATRIX operator* (CXMMATRIX M) const; + XMMATRIX operator* (float S) const; + XMMATRIX operator/ (float S) const; + + friend XMMATRIX operator* (float S, CXMMATRIX M); +}; + +//------------------------------------------------------------------------------ +// 2D Vector; 32 bit floating point components +struct XMFLOAT2 +{ + float x; + float y; + + XMFLOAT2() {} + XMFLOAT2(float _x, float _y) : x(_x), y(_y) {} + explicit XMFLOAT2(_In_reads_(2) const float *pArray) : x(pArray[0]), y(pArray[1]) {} + + XMFLOAT2& operator= (const XMFLOAT2& Float2) { x = Float2.x; y = Float2.y; return *this; } +}; + +// 2D Vector; 32 bit floating point components aligned on a 16 byte boundary +__declspec(align(16)) struct XMFLOAT2A : public XMFLOAT2 +{ + XMFLOAT2A() : XMFLOAT2() {} + XMFLOAT2A(float _x, float _y) : XMFLOAT2(_x, _y) {} + explicit XMFLOAT2A(_In_reads_(2) const float *pArray) : XMFLOAT2(pArray) {} + + XMFLOAT2A& operator= (const XMFLOAT2A& Float2) { x = Float2.x; y = Float2.y; return *this; } +}; + +//------------------------------------------------------------------------------ +// 2D Vector; 32 bit signed integer components +struct XMINT2 +{ + int32_t x; + int32_t y; + + XMINT2() {} + XMINT2(int32_t _x, int32_t _y) : x(_x), y(_y) {} + explicit XMINT2(_In_reads_(2) const int32_t *pArray) : x(pArray[0]), y(pArray[1]) {} + + XMINT2& operator= (const XMINT2& Int2) { x = Int2.x; y = Int2.y; return *this; } +}; + +// 2D Vector; 32 bit unsigned integer components +struct XMUINT2 +{ + uint32_t x; + uint32_t y; + + XMUINT2() {} + XMUINT2(uint32_t _x, uint32_t _y) : x(_x), y(_y) {} + explicit XMUINT2(_In_reads_(2) const uint32_t *pArray) : x(pArray[0]), y(pArray[1]) {} + + XMUINT2& operator= (const XMUINT2& UInt2) { x = UInt2.x; y = UInt2.y; return *this; } +}; + +//------------------------------------------------------------------------------ +// 3D Vector; 32 bit floating point components +struct XMFLOAT3 +{ + float x; + float y; + float z; + + XMFLOAT3() {} + XMFLOAT3(float _x, float _y, float _z) : x(_x), y(_y), z(_z) {} + explicit XMFLOAT3(_In_reads_(3) const float *pArray) : x(pArray[0]), y(pArray[1]), z(pArray[2]) {} + + XMFLOAT3& operator= (const XMFLOAT3& Float3) { x = Float3.x; y = Float3.y; z = Float3.z; return *this; } +}; + +// 3D Vector; 32 bit floating point components aligned on a 16 byte boundary +__declspec(align(16)) struct XMFLOAT3A : public XMFLOAT3 +{ + XMFLOAT3A() : XMFLOAT3() {} + XMFLOAT3A(float _x, float _y, float _z) : XMFLOAT3(_x, _y, _z) {} + explicit XMFLOAT3A(_In_reads_(3) const float *pArray) : XMFLOAT3(pArray) {} + + XMFLOAT3A& operator= (const XMFLOAT3A& Float3) { x = Float3.x; y = Float3.y; z = Float3.z; return *this; } +}; + +//------------------------------------------------------------------------------ +// 3D Vector; 32 bit signed integer components +struct XMINT3 +{ + int32_t x; + int32_t y; + int32_t z; + + XMINT3() {} + XMINT3(int32_t _x, int32_t _y, int32_t _z) : x(_x), y(_y), z(_z) {} + explicit XMINT3(_In_reads_(3) const int32_t *pArray) : x(pArray[0]), y(pArray[1]), z(pArray[2]) {} + + XMINT3& operator= (const XMINT3& i3) { x = i3.x; y = i3.y; z = i3.z; return *this; } +}; + +// 3D Vector; 32 bit unsigned integer components +struct XMUINT3 +{ + uint32_t x; + uint32_t y; + uint32_t z; + + XMUINT3() {} + XMUINT3(uint32_t _x, uint32_t _y, uint32_t _z) : x(_x), y(_y), z(_z) {} + explicit XMUINT3(_In_reads_(3) const uint32_t *pArray) : x(pArray[0]), y(pArray[1]), z(pArray[2]) {} + + XMUINT3& operator= (const XMUINT3& u3) { x = u3.x; y = u3.y; z = u3.z; return *this; } +}; + +//------------------------------------------------------------------------------ +// 4D Vector; 32 bit floating point components +struct XMFLOAT4 +{ + float x; + float y; + float z; + float w; + + XMFLOAT4() {} + XMFLOAT4(float _x, float _y, float _z, float _w) : x(_x), y(_y), z(_z), w(_w) {} + explicit XMFLOAT4(_In_reads_(4) const float *pArray) : x(pArray[0]), y(pArray[1]), z(pArray[2]), w(pArray[3]) {} + + XMFLOAT4& operator= (const XMFLOAT4& Float4) { x = Float4.x; y = Float4.y; z = Float4.z; w = Float4.w; return *this; } +}; + +// 4D Vector; 32 bit floating point components aligned on a 16 byte boundary +__declspec(align(16)) struct XMFLOAT4A : public XMFLOAT4 +{ + XMFLOAT4A() : XMFLOAT4() {} + XMFLOAT4A(float _x, float _y, float _z, float _w) : XMFLOAT4(_x, _y, _z, _w) {} + explicit XMFLOAT4A(_In_reads_(4) const float *pArray) : XMFLOAT4(pArray) {} + + XMFLOAT4A& operator= (const XMFLOAT4A& Float4) { x = Float4.x; y = Float4.y; z = Float4.z; w = Float4.w; return *this; } +}; + +//------------------------------------------------------------------------------ +// 4D Vector; 32 bit signed integer components +struct XMINT4 +{ + int32_t x; + int32_t y; + int32_t z; + int32_t w; + + XMINT4() {} + XMINT4(int32_t _x, int32_t _y, int32_t _z, int32_t _w) : x(_x), y(_y), z(_z), w(_w) {} + explicit XMINT4(_In_reads_(4) const int32_t *pArray) : x(pArray[0]), y(pArray[1]), z(pArray[2]), w(pArray[3]) {} + + XMINT4& operator= (const XMINT4& Int4) { x = Int4.x; y = Int4.y; z = Int4.z; w = Int4.w; return *this; } +}; + +// 4D Vector; 32 bit unsigned integer components +struct XMUINT4 +{ + uint32_t x; + uint32_t y; + uint32_t z; + uint32_t w; + + XMUINT4() {} + XMUINT4(uint32_t _x, uint32_t _y, uint32_t _z, uint32_t _w) : x(_x), y(_y), z(_z), w(_w) {} + explicit XMUINT4(_In_reads_(4) const uint32_t *pArray) : x(pArray[0]), y(pArray[1]), z(pArray[2]), w(pArray[3]) {} + + XMUINT4& operator= (const XMUINT4& UInt4) { x = UInt4.x; y = UInt4.y; z = UInt4.z; w = UInt4.w; return *this; } +}; + +//------------------------------------------------------------------------------ +// 3x3 Matrix: 32 bit floating point components +struct XMFLOAT3X3 +{ + union + { + struct + { + float _11, _12, _13; + float _21, _22, _23; + float _31, _32, _33; + }; + float m[3][3]; + }; + + XMFLOAT3X3() {} + XMFLOAT3X3(float m00, float m01, float m02, + float m10, float m11, float m12, + float m20, float m21, float m22); + explicit XMFLOAT3X3(_In_reads_(9) const float *pArray); + + float operator() (size_t Row, size_t Column) const { return m[Row][Column]; } + float& operator() (size_t Row, size_t Column) { return m[Row][Column]; } + + XMFLOAT3X3& operator= (const XMFLOAT3X3& Float3x3); +}; + +//------------------------------------------------------------------------------ +// 4x3 Matrix: 32 bit floating point components +struct XMFLOAT4X3 +{ + union + { + struct + { + float _11, _12, _13; + float _21, _22, _23; + float _31, _32, _33; + float _41, _42, _43; + }; + float m[4][3]; + }; + + XMFLOAT4X3() {} + XMFLOAT4X3(float m00, float m01, float m02, + float m10, float m11, float m12, + float m20, float m21, float m22, + float m30, float m31, float m32); + explicit XMFLOAT4X3(_In_reads_(12) const float *pArray); + + float operator() (size_t Row, size_t Column) const { return m[Row][Column]; } + float& operator() (size_t Row, size_t Column) { return m[Row][Column]; } + + XMFLOAT4X3& operator= (const XMFLOAT4X3& Float4x3); + +}; + +// 4x3 Matrix: 32 bit floating point components aligned on a 16 byte boundary +__declspec(align(16)) struct XMFLOAT4X3A : public XMFLOAT4X3 +{ + XMFLOAT4X3A() : XMFLOAT4X3() {} + XMFLOAT4X3A(float m00, float m01, float m02, + float m10, float m11, float m12, + float m20, float m21, float m22, + float m30, float m31, float m32) : + XMFLOAT4X3(m00,m01,m02,m10,m11,m12,m20,m21,m22,m30,m31,m32) {} + explicit XMFLOAT4X3A(_In_reads_(12) const float *pArray) : XMFLOAT4X3(pArray) {} + + float operator() (size_t Row, size_t Column) const { return m[Row][Column]; } + float& operator() (size_t Row, size_t Column) { return m[Row][Column]; } + + XMFLOAT4X3A& operator= (const XMFLOAT4X3A& Float4x3); +}; + +//------------------------------------------------------------------------------ +// 4x4 Matrix: 32 bit floating point components +struct XMFLOAT4X4 +{ + union + { + struct + { + float _11, _12, _13, _14; + float _21, _22, _23, _24; + float _31, _32, _33, _34; + float _41, _42, _43, _44; + }; + float m[4][4]; + }; + + XMFLOAT4X4() {} + XMFLOAT4X4(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); + explicit XMFLOAT4X4(_In_reads_(16) const float *pArray); + + float operator() (size_t Row, size_t Column) const { return m[Row][Column]; } + float& operator() (size_t Row, size_t Column) { return m[Row][Column]; } + + XMFLOAT4X4& operator= (const XMFLOAT4X4& Float4x4); +}; + +// 4x4 Matrix: 32 bit floating point components aligned on a 16 byte boundary +__declspec(align(16)) struct XMFLOAT4X4A : public XMFLOAT4X4 +{ + XMFLOAT4X4A() : XMFLOAT4X4() {} + XMFLOAT4X4A(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) + : XMFLOAT4X4(m00,m01,m02,m03,m10,m11,m12,m13,m20,m21,m22,m23,m30,m31,m32,m33) {} + explicit XMFLOAT4X4A(_In_reads_(16) const float *pArray) : XMFLOAT4X4(pArray) {} + + float operator() (size_t Row, size_t Column) const { return m[Row][Column]; } + float& operator() (size_t Row, size_t Column) { return m[Row][Column]; } + + XMFLOAT4X4A& operator= (const XMFLOAT4X4A& Float4x4); +}; + +//////////////////////////////////////////////////////////////////////////////// + + +#ifdef _XM_BIGENDIAN_ +#pragma bitfield_order(pop) +#endif + +#pragma prefast(pop) +#pragma warning(pop) + +/**************************************************************************** + * + * Data conversion operations + * + ****************************************************************************/ + +#if !defined(_XM_NO_INTRINSICS_) && defined(_XM_VMX128_INTRINSICS_) +#else +XMVECTOR XMConvertVectorIntToFloat(FXMVECTOR VInt, uint32_t DivExponent); +XMVECTOR XMConvertVectorFloatToInt(FXMVECTOR VFloat, uint32_t MulExponent); +XMVECTOR XMConvertVectorUIntToFloat(FXMVECTOR VUInt, uint32_t DivExponent); +XMVECTOR XMConvertVectorFloatToUInt(FXMVECTOR VFloat, uint32_t MulExponent); +#endif + +#if !defined(_XM_NO_INTRINSICS_) && defined(_XM_VMX128_INTRINSICS_) +#else + +#if defined(__XNAMATH_H__) && defined(XMVectorSetBinaryConstant) +#undef XMVectorSetBinaryConstant +#undef XMVectorSplatConstant +#undef XMVectorSplatConstantInt +#endif + +XMVECTOR XMVectorSetBinaryConstant(uint32_t C0, uint32_t C1, uint32_t C2, uint32_t C3); +XMVECTOR XMVectorSplatConstant(int32_t IntConstant, uint32_t DivExponent); +XMVECTOR XMVectorSplatConstantInt(int32_t IntConstant); +#endif + +/**************************************************************************** + * + * Load operations + * + ****************************************************************************/ + +XMVECTOR XMLoadInt(_In_ const uint32_t* pSource); +XMVECTOR XMLoadFloat(_In_ const float* pSource); + +XMVECTOR XMLoadInt2(_In_reads_(2) const uint32_t* pSource); +XMVECTOR XMLoadInt2A(_In_reads_(2) const uint32_t* PSource); +XMVECTOR XMLoadFloat2(_In_ const XMFLOAT2* pSource); +XMVECTOR XMLoadFloat2A(_In_ const XMFLOAT2A* pSource); +XMVECTOR XMLoadSInt2(_In_ const XMINT2* pSource); +XMVECTOR XMLoadUInt2(_In_ const XMUINT2* pSource); + +XMVECTOR XMLoadInt3(_In_reads_(3) const uint32_t* pSource); +XMVECTOR XMLoadInt3A(_In_reads_(3) const uint32_t* pSource); +XMVECTOR XMLoadFloat3(_In_ const XMFLOAT3* pSource); +XMVECTOR XMLoadFloat3A(_In_ const XMFLOAT3A* pSource); +XMVECTOR XMLoadSInt3(_In_ const XMINT3* pSource); +XMVECTOR XMLoadUInt3(_In_ const XMUINT3* pSource); + +XMVECTOR XMLoadInt4(_In_reads_(4) const uint32_t* pSource); +XMVECTOR XMLoadInt4A(_In_reads_(4) const uint32_t* pSource); +XMVECTOR XMLoadFloat4(_In_ const XMFLOAT4* pSource); +XMVECTOR XMLoadFloat4A(_In_ const XMFLOAT4A* pSource); +XMVECTOR XMLoadSInt4(_In_ const XMINT4* pSource); +XMVECTOR XMLoadUInt4(_In_ const XMUINT4* pSource); + +XMMATRIX XMLoadFloat3x3(_In_ const XMFLOAT3X3* pSource); +XMMATRIX XMLoadFloat4x3(_In_ const XMFLOAT4X3* pSource); +XMMATRIX XMLoadFloat4x3A(_In_ const XMFLOAT4X3A* pSource); +XMMATRIX XMLoadFloat4x4(_In_ const XMFLOAT4X4* pSource); +XMMATRIX XMLoadFloat4x4A(_In_ const XMFLOAT4X4A* pSource); + +/**************************************************************************** + * + * Store operations + * + ****************************************************************************/ + +void XMStoreInt(_Out_ uint32_t* pDestination, _In_ FXMVECTOR V); +void XMStoreFloat(_Out_ float* pDestination, _In_ FXMVECTOR V); + +void XMStoreInt2(_Out_writes_(2) uint32_t* pDestination, _In_ FXMVECTOR V); +void XMStoreInt2A(_Out_writes_(2) uint32_t* pDestination, _In_ FXMVECTOR V); +void XMStoreFloat2(_Out_ XMFLOAT2* pDestination, _In_ FXMVECTOR V); +void XMStoreFloat2A(_Out_ XMFLOAT2A* pDestination, _In_ FXMVECTOR V); +void XMStoreSInt2(_Out_ XMINT2* pDestination, _In_ FXMVECTOR V); +void XMStoreUInt2(_Out_ XMUINT2* pDestination, _In_ FXMVECTOR V); + +void XMStoreInt3(_Out_writes_(3) uint32_t* pDestination, _In_ FXMVECTOR V); +void XMStoreInt3A(_Out_writes_(3) uint32_t* pDestination, _In_ FXMVECTOR V); +void XMStoreFloat3(_Out_ XMFLOAT3* pDestination, _In_ FXMVECTOR V); +void XMStoreFloat3A(_Out_ XMFLOAT3A* pDestination, _In_ FXMVECTOR V); +void XMStoreSInt3(_Out_ XMINT3* pDestination, _In_ FXMVECTOR V); +void XMStoreUInt3(_Out_ XMUINT3* pDestination, _In_ FXMVECTOR V); + +void XMStoreInt4(_Out_writes_(4) uint32_t* pDestination, _In_ FXMVECTOR V); +void XMStoreInt4A(_Out_writes_(4) uint32_t* pDestination, _In_ FXMVECTOR V); +void XMStoreFloat4(_Out_ XMFLOAT4* pDestination, _In_ FXMVECTOR V); +void XMStoreFloat4A(_Out_ XMFLOAT4A* pDestination, _In_ FXMVECTOR V); +void XMStoreSInt4(_Out_ XMINT4* pDestination, _In_ FXMVECTOR V); +void XMStoreUInt4(_Out_ XMUINT4* pDestination, _In_ FXMVECTOR V); + +void XMStoreFloat3x3(_Out_ XMFLOAT3X3* pDestination, _In_ CXMMATRIX M); +void XMStoreFloat4x3(_Out_ XMFLOAT4X3* pDestination, _In_ CXMMATRIX M); +void XMStoreFloat4x3A(_Out_ XMFLOAT4X3A* pDestination, _In_ CXMMATRIX M); +void XMStoreFloat4x4(_Out_ XMFLOAT4X4* pDestination, _In_ CXMMATRIX M); +void XMStoreFloat4x4A(_Out_ XMFLOAT4X4A* pDestination, _In_ CXMMATRIX M); + +/**************************************************************************** + * + * General vector operations + * + ****************************************************************************/ + +XMVECTOR XMVectorZero(); +XMVECTOR XMVectorSet(float x, float y, float z, float w); +XMVECTOR XMVectorSetInt(uint32_t x, uint32_t y, uint32_t z, uint32_t w); +XMVECTOR XMVectorReplicate(float Value); +XMVECTOR XMVectorReplicatePtr(_In_ const float *pValue); +XMVECTOR XMVectorReplicateInt(uint32_t Value); +XMVECTOR XMVectorReplicateIntPtr(_In_ const uint32_t *pValue); +XMVECTOR XMVectorTrueInt(); +XMVECTOR XMVectorFalseInt(); +XMVECTOR XMVectorSplatX(FXMVECTOR V); +XMVECTOR XMVectorSplatY(FXMVECTOR V); +XMVECTOR XMVectorSplatZ(FXMVECTOR V); +XMVECTOR XMVectorSplatW(FXMVECTOR V); +XMVECTOR XMVectorSplatOne(); +XMVECTOR XMVectorSplatInfinity(); +XMVECTOR XMVectorSplatQNaN(); +XMVECTOR XMVectorSplatEpsilon(); +XMVECTOR XMVectorSplatSignMask(); + +float XMVectorGetByIndex(FXMVECTOR V, size_t i); +float XMVectorGetX(FXMVECTOR V); +float XMVectorGetY(FXMVECTOR V); +float XMVectorGetZ(FXMVECTOR V); +float XMVectorGetW(FXMVECTOR V); + +void XMVectorGetByIndexPtr(_Out_ float *f, _In_ FXMVECTOR V, _In_ size_t i); +void XMVectorGetXPtr(_Out_ float *x, _In_ FXMVECTOR V); +void XMVectorGetYPtr(_Out_ float *y, _In_ FXMVECTOR V); +void XMVectorGetZPtr(_Out_ float *z, _In_ FXMVECTOR V); +void XMVectorGetWPtr(_Out_ float *w, _In_ FXMVECTOR V); + +uint32_t XMVectorGetIntByIndex(FXMVECTOR V, size_t i); +uint32_t XMVectorGetIntX(FXMVECTOR V); +uint32_t XMVectorGetIntY(FXMVECTOR V); +uint32_t XMVectorGetIntZ(FXMVECTOR V); +uint32_t XMVectorGetIntW(FXMVECTOR V); + +void XMVectorGetIntByIndexPtr(_Out_ uint32_t *x, _In_ FXMVECTOR V, _In_ size_t i); +void XMVectorGetIntXPtr(_Out_ uint32_t *x, _In_ FXMVECTOR V); +void XMVectorGetIntYPtr(_Out_ uint32_t *y, _In_ FXMVECTOR V); +void XMVectorGetIntZPtr(_Out_ uint32_t *z, _In_ FXMVECTOR V); +void XMVectorGetIntWPtr(_Out_ uint32_t *w, _In_ FXMVECTOR V); + +XMVECTOR XMVectorSetByIndex(FXMVECTOR V,float f, size_t i); +XMVECTOR XMVectorSetX(FXMVECTOR V, float x); +XMVECTOR XMVectorSetY(FXMVECTOR V, float y); +XMVECTOR XMVectorSetZ(FXMVECTOR V, float z); +XMVECTOR XMVectorSetW(FXMVECTOR V, float w); + +XMVECTOR XMVectorSetByIndexPtr(_In_ FXMVECTOR V, _In_ const float *f, _In_ size_t i); +XMVECTOR XMVectorSetXPtr(_In_ FXMVECTOR V, _In_ const float *x); +XMVECTOR XMVectorSetYPtr(_In_ FXMVECTOR V, _In_ const float *y); +XMVECTOR XMVectorSetZPtr(_In_ FXMVECTOR V, _In_ const float *z); +XMVECTOR XMVectorSetWPtr(_In_ FXMVECTOR V, _In_ const float *w); + +XMVECTOR XMVectorSetIntByIndex(FXMVECTOR V, uint32_t x, size_t i); +XMVECTOR XMVectorSetIntX(FXMVECTOR V, uint32_t x); +XMVECTOR XMVectorSetIntY(FXMVECTOR V, uint32_t y); +XMVECTOR XMVectorSetIntZ(FXMVECTOR V, uint32_t z); +XMVECTOR XMVectorSetIntW(FXMVECTOR V, uint32_t w); + +XMVECTOR XMVectorSetIntByIndexPtr(_In_ FXMVECTOR V, _In_ const uint32_t *x, _In_ size_t i); +XMVECTOR XMVectorSetIntXPtr(_In_ FXMVECTOR V, _In_ const uint32_t *x); +XMVECTOR XMVectorSetIntYPtr(_In_ FXMVECTOR V, _In_ const uint32_t *y); +XMVECTOR XMVectorSetIntZPtr(_In_ FXMVECTOR V, _In_ const uint32_t *z); +XMVECTOR XMVectorSetIntWPtr(_In_ FXMVECTOR V, _In_ const uint32_t *w); + +#if defined(__XNAMATH_H__) && defined(XMVectorSwizzle) +#undef XMVectorSwizzle +#endif + +XMVECTOR XMVectorSwizzle(FXMVECTOR V, uint32_t E0, uint32_t E1, uint32_t E2, uint32_t E3); +XMVECTOR XMVectorPermute(FXMVECTOR V1, FXMVECTOR V2, uint32_t PermuteX, uint32_t PermuteY, uint32_t PermuteZ, uint32_t PermuteW); +XMVECTOR XMVectorSelectControl(uint32_t VectorIndex0, uint32_t VectorIndex1, uint32_t VectorIndex2, uint32_t VectorIndex3); +XMVECTOR XMVectorSelect(FXMVECTOR V1, FXMVECTOR V2, FXMVECTOR Control); +XMVECTOR XMVectorMergeXY(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorMergeZW(FXMVECTOR V1, FXMVECTOR V2); + +#if defined(__XNAMATH_H__) && defined(XMVectorShiftLeft) +#undef XMVectorShiftLeft +#undef XMVectorRotateLeft +#undef XMVectorRotateRight +#undef XMVectorInsert +#endif + +XMVECTOR XMVectorShiftLeft(FXMVECTOR V1, FXMVECTOR V2, uint32_t Elements); +XMVECTOR XMVectorRotateLeft(FXMVECTOR V, uint32_t Elements); +XMVECTOR XMVectorRotateRight(FXMVECTOR V, uint32_t Elements); +XMVECTOR XMVectorInsert(FXMVECTOR VD, FXMVECTOR VS, uint32_t VSLeftRotateElements, + uint32_t Select0, uint32_t Select1, uint32_t Select2, uint32_t Select3); + +XMVECTOR XMVectorEqual(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorEqualR(_Out_ uint32_t* pCR, _In_ FXMVECTOR V1, _In_ FXMVECTOR V2); +XMVECTOR XMVectorEqualInt(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorEqualIntR(_Out_ uint32_t* pCR, _In_ FXMVECTOR V, _In_ FXMVECTOR V2); +XMVECTOR XMVectorNearEqual(FXMVECTOR V1, FXMVECTOR V2, FXMVECTOR Epsilon); +XMVECTOR XMVectorNotEqual(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorNotEqualInt(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorGreater(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorGreaterR(_Out_ uint32_t* pCR, _In_ FXMVECTOR V1, _In_ FXMVECTOR V2); +XMVECTOR XMVectorGreaterOrEqual(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorGreaterOrEqualR(_Out_ uint32_t* pCR, _In_ FXMVECTOR V1, _In_ FXMVECTOR V2); +XMVECTOR XMVectorLess(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorLessOrEqual(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorInBounds(FXMVECTOR V, FXMVECTOR Bounds); +XMVECTOR XMVectorInBoundsR(_Out_ uint32_t* pCR, _In_ FXMVECTOR V, _In_ FXMVECTOR Bounds); + +XMVECTOR XMVectorIsNaN(FXMVECTOR V); +XMVECTOR XMVectorIsInfinite(FXMVECTOR V); + +XMVECTOR XMVectorMin(FXMVECTOR V1,FXMVECTOR V2); +XMVECTOR XMVectorMax(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorRound(FXMVECTOR V); +XMVECTOR XMVectorTruncate(FXMVECTOR V); +XMVECTOR XMVectorFloor(FXMVECTOR V); +XMVECTOR XMVectorCeiling(FXMVECTOR V); +XMVECTOR XMVectorClamp(FXMVECTOR V, FXMVECTOR Min, FXMVECTOR Max); +XMVECTOR XMVectorSaturate(FXMVECTOR V); + +XMVECTOR XMVectorAndInt(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorAndCInt(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorOrInt(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorNorInt(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorXorInt(FXMVECTOR V1, FXMVECTOR V2); + +XMVECTOR XMVectorNegate(FXMVECTOR V); +XMVECTOR XMVectorAdd(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorAddAngles(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorSubtract(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorSubtractAngles(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorMultiply(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorMultiplyAdd(FXMVECTOR V1, FXMVECTOR V2, FXMVECTOR V3); +XMVECTOR XMVectorDivide(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorNegativeMultiplySubtract(FXMVECTOR V1, FXMVECTOR V2, FXMVECTOR V3); +XMVECTOR XMVectorScale(FXMVECTOR V, float ScaleFactor); +XMVECTOR XMVectorReciprocalEst(FXMVECTOR V); +XMVECTOR XMVectorReciprocal(FXMVECTOR V); +XMVECTOR XMVectorSqrtEst(FXMVECTOR V); +XMVECTOR XMVectorSqrt(FXMVECTOR V); +XMVECTOR XMVectorReciprocalSqrtEst(FXMVECTOR V); +XMVECTOR XMVectorReciprocalSqrt(FXMVECTOR V); +XMVECTOR XMVectorExp(FXMVECTOR V); +XMVECTOR XMVectorLog(FXMVECTOR V); +XMVECTOR XMVectorPow(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorAbs(FXMVECTOR V); +XMVECTOR XMVectorMod(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVectorModAngles(FXMVECTOR Angles); +XMVECTOR XMVectorSin(FXMVECTOR V); +XMVECTOR XMVectorSinEst(FXMVECTOR V); +XMVECTOR XMVectorCos(FXMVECTOR V); +XMVECTOR XMVectorCosEst(FXMVECTOR V); +void XMVectorSinCos(_Out_ XMVECTOR* pSin, _Out_ XMVECTOR* pCos, _In_ FXMVECTOR V); +void XMVectorSinCosEst(_Out_ XMVECTOR* pSin, _Out_ XMVECTOR* pCos, _In_ FXMVECTOR V); +XMVECTOR XMVectorTan(FXMVECTOR V); +XMVECTOR XMVectorTanEst(FXMVECTOR V); +XMVECTOR XMVectorSinH(FXMVECTOR V); +XMVECTOR XMVectorCosH(FXMVECTOR V); +XMVECTOR XMVectorTanH(FXMVECTOR V); +XMVECTOR XMVectorASin(FXMVECTOR V); +XMVECTOR XMVectorASinEst(FXMVECTOR V); +XMVECTOR XMVectorACos(FXMVECTOR V); +XMVECTOR XMVectorACosEst(FXMVECTOR V); +XMVECTOR XMVectorATan(FXMVECTOR V); +XMVECTOR XMVectorATanEst(FXMVECTOR V); +XMVECTOR XMVectorATan2(FXMVECTOR Y, FXMVECTOR X); +XMVECTOR XMVectorATan2Est(FXMVECTOR Y, FXMVECTOR X); +XMVECTOR XMVectorLerp(FXMVECTOR V0, FXMVECTOR V1, float t); +XMVECTOR XMVectorLerpV(FXMVECTOR V0, FXMVECTOR V1, FXMVECTOR T); +XMVECTOR XMVectorHermite(FXMVECTOR Position0, FXMVECTOR Tangent0, FXMVECTOR Position1, GXMVECTOR Tangent1, float t); +XMVECTOR XMVectorHermiteV(FXMVECTOR Position0, FXMVECTOR Tangent0, FXMVECTOR Position1, GXMVECTOR Tangent1, CXMVECTOR T); +XMVECTOR XMVectorCatmullRom(FXMVECTOR Position0, FXMVECTOR Position1, FXMVECTOR Position2, GXMVECTOR Position3, float t); +XMVECTOR XMVectorCatmullRomV(FXMVECTOR Position0, FXMVECTOR Position1, FXMVECTOR Position2, GXMVECTOR Position3, CXMVECTOR T); +XMVECTOR XMVectorBaryCentric(FXMVECTOR Position0, FXMVECTOR Position1, FXMVECTOR Position2, float f, float g); +XMVECTOR XMVectorBaryCentricV(FXMVECTOR Position0, FXMVECTOR Position1, FXMVECTOR Position2, GXMVECTOR F, CXMVECTOR G); + +/**************************************************************************** + * + * 2D vector operations + * + ****************************************************************************/ + +bool XMVector2Equal(FXMVECTOR V1, FXMVECTOR V2); +uint32_t XMVector2EqualR(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector2EqualInt(FXMVECTOR V1, FXMVECTOR V2); +uint32_t XMVector2EqualIntR(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector2NearEqual(FXMVECTOR V1, FXMVECTOR V2, FXMVECTOR Epsilon); +bool XMVector2NotEqual(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector2NotEqualInt(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector2Greater(FXMVECTOR V1, FXMVECTOR V2); +uint32_t XMVector2GreaterR(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector2GreaterOrEqual(FXMVECTOR V1, FXMVECTOR V2); +uint32_t XMVector2GreaterOrEqualR(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector2Less(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector2LessOrEqual(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector2InBounds(FXMVECTOR V, FXMVECTOR Bounds); + +bool XMVector2IsNaN(FXMVECTOR V); +bool XMVector2IsInfinite(FXMVECTOR V); + +XMVECTOR XMVector2Dot(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVector2Cross(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVector2LengthSq(FXMVECTOR V); +XMVECTOR XMVector2ReciprocalLengthEst(FXMVECTOR V); +XMVECTOR XMVector2ReciprocalLength(FXMVECTOR V); +XMVECTOR XMVector2LengthEst(FXMVECTOR V); +XMVECTOR XMVector2Length(FXMVECTOR V); +XMVECTOR XMVector2NormalizeEst(FXMVECTOR V); +XMVECTOR XMVector2Normalize(FXMVECTOR V); +XMVECTOR XMVector2ClampLength(FXMVECTOR V, float LengthMin, float LengthMax); +XMVECTOR XMVector2ClampLengthV(FXMVECTOR V, FXMVECTOR LengthMin, FXMVECTOR LengthMax); +XMVECTOR XMVector2Reflect(FXMVECTOR Incident, FXMVECTOR Normal); +XMVECTOR XMVector2Refract(FXMVECTOR Incident, FXMVECTOR Normal, float RefractionIndex); +XMVECTOR XMVector2RefractV(FXMVECTOR Incident, FXMVECTOR Normal, FXMVECTOR RefractionIndex); +XMVECTOR XMVector2Orthogonal(FXMVECTOR V); +XMVECTOR XMVector2AngleBetweenNormalsEst(FXMVECTOR N1, FXMVECTOR N2); +XMVECTOR XMVector2AngleBetweenNormals(FXMVECTOR N1, FXMVECTOR N2); +XMVECTOR XMVector2AngleBetweenVectors(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVector2LinePointDistance(FXMVECTOR LinePoint1, FXMVECTOR LinePoint2, FXMVECTOR Point); +XMVECTOR XMVector2IntersectLine(FXMVECTOR Line1Point1, FXMVECTOR Line1Point2, FXMVECTOR Line2Point1, GXMVECTOR Line2Point2); +XMVECTOR XMVector2Transform(FXMVECTOR V, CXMMATRIX M); +XMFLOAT4* XMVector2TransformStream(_Out_writes_bytes_(sizeof(XMFLOAT4)+OutputStride*(VectorCount-1)) XMFLOAT4* pOutputStream, + _In_ size_t OutputStride, + _In_reads_bytes_(sizeof(XMFLOAT2)+InputStride*(VectorCount-1)) const XMFLOAT2* pInputStream, + _In_ size_t InputStride, _In_ size_t VectorCount, _In_ CXMMATRIX M); +XMVECTOR XMVector2TransformCoord(FXMVECTOR V, CXMMATRIX M); +XMFLOAT2* XMVector2TransformCoordStream(_Out_writes_bytes_(sizeof(XMFLOAT2)+OutputStride*(VectorCount-1)) XMFLOAT2* pOutputStream, + _In_ size_t OutputStride, + _In_reads_bytes_(sizeof(XMFLOAT2)+InputStride*(VectorCount-1)) const XMFLOAT2* pInputStream, + _In_ size_t InputStride, _In_ size_t VectorCount, _In_ CXMMATRIX M); +XMVECTOR XMVector2TransformNormal(FXMVECTOR V, CXMMATRIX M); +XMFLOAT2* XMVector2TransformNormalStream(_Out_writes_bytes_(sizeof(XMFLOAT2)+OutputStride*(VectorCount-1)) XMFLOAT2* pOutputStream, + _In_ size_t OutputStride, + _In_reads_bytes_(sizeof(XMFLOAT2)+InputStride*(VectorCount-1)) const XMFLOAT2* pInputStream, + _In_ size_t InputStride, _In_ size_t VectorCount, _In_ CXMMATRIX M); + +/**************************************************************************** + * + * 3D vector operations + * + ****************************************************************************/ + +bool XMVector3Equal(FXMVECTOR V1, FXMVECTOR V2); +uint32_t XMVector3EqualR(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector3EqualInt(FXMVECTOR V1, FXMVECTOR V2); +uint32_t XMVector3EqualIntR(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector3NearEqual(FXMVECTOR V1, FXMVECTOR V2, FXMVECTOR Epsilon); +bool XMVector3NotEqual(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector3NotEqualInt(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector3Greater(FXMVECTOR V1, FXMVECTOR V2); +uint32_t XMVector3GreaterR(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector3GreaterOrEqual(FXMVECTOR V1, FXMVECTOR V2); +uint32_t XMVector3GreaterOrEqualR(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector3Less(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector3LessOrEqual(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector3InBounds(FXMVECTOR V, FXMVECTOR Bounds); + +bool XMVector3IsNaN(FXMVECTOR V); +bool XMVector3IsInfinite(FXMVECTOR V); + +XMVECTOR XMVector3Dot(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVector3Cross(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVector3LengthSq(FXMVECTOR V); +XMVECTOR XMVector3ReciprocalLengthEst(FXMVECTOR V); +XMVECTOR XMVector3ReciprocalLength(FXMVECTOR V); +XMVECTOR XMVector3LengthEst(FXMVECTOR V); +XMVECTOR XMVector3Length(FXMVECTOR V); +XMVECTOR XMVector3NormalizeEst(FXMVECTOR V); +XMVECTOR XMVector3Normalize(FXMVECTOR V); +XMVECTOR XMVector3ClampLength(FXMVECTOR V, float LengthMin, float LengthMax); +XMVECTOR XMVector3ClampLengthV(FXMVECTOR V, FXMVECTOR LengthMin, FXMVECTOR LengthMax); +XMVECTOR XMVector3Reflect(FXMVECTOR Incident, FXMVECTOR Normal); +XMVECTOR XMVector3Refract(FXMVECTOR Incident, FXMVECTOR Normal, float RefractionIndex); +XMVECTOR XMVector3RefractV(FXMVECTOR Incident, FXMVECTOR Normal, FXMVECTOR RefractionIndex); +XMVECTOR XMVector3Orthogonal(FXMVECTOR V); +XMVECTOR XMVector3AngleBetweenNormalsEst(FXMVECTOR N1, FXMVECTOR N2); +XMVECTOR XMVector3AngleBetweenNormals(FXMVECTOR N1, FXMVECTOR N2); +XMVECTOR XMVector3AngleBetweenVectors(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVector3LinePointDistance(FXMVECTOR LinePoint1, FXMVECTOR LinePoint2, FXMVECTOR Point); +void XMVector3ComponentsFromNormal(_Out_ XMVECTOR* pParallel, _Out_ XMVECTOR* pPerpendicular, _In_ FXMVECTOR V, _In_ FXMVECTOR Normal); +XMVECTOR XMVector3Rotate(FXMVECTOR V, FXMVECTOR RotationQuaternion); +XMVECTOR XMVector3InverseRotate(FXMVECTOR V, FXMVECTOR RotationQuaternion); +XMVECTOR XMVector3Transform(FXMVECTOR V, CXMMATRIX M); +XMFLOAT4* XMVector3TransformStream(_Out_writes_bytes_(sizeof(XMFLOAT4)+OutputStride*(VectorCount-1)) XMFLOAT4* pOutputStream, + _In_ size_t OutputStride, + _In_reads_bytes_(sizeof(XMFLOAT3)+InputStride*(VectorCount-1)) const XMFLOAT3* pInputStream, + _In_ size_t InputStride, _In_ size_t VectorCount, _In_ CXMMATRIX M); +XMVECTOR XMVector3TransformCoord(FXMVECTOR V, CXMMATRIX M); +XMFLOAT3* XMVector3TransformCoordStream(_Out_writes_bytes_(sizeof(XMFLOAT3)+OutputStride*(VectorCount-1)) XMFLOAT3* pOutputStream, + _In_ size_t OutputStride, + _In_reads_bytes_(sizeof(XMFLOAT3)+InputStride*(VectorCount-1)) const XMFLOAT3* pInputStream, + _In_ size_t InputStride, _In_ size_t VectorCount, _In_ CXMMATRIX M); +XMVECTOR XMVector3TransformNormal(FXMVECTOR V, CXMMATRIX M); +XMFLOAT3* XMVector3TransformNormalStream(_Out_writes_bytes_(sizeof(XMFLOAT3)+OutputStride*(VectorCount-1)) XMFLOAT3* pOutputStream, + _In_ size_t OutputStride, + _In_reads_bytes_(sizeof(XMFLOAT3)+InputStride*(VectorCount-1)) const XMFLOAT3* pInputStream, + _In_ size_t InputStride, _In_ size_t VectorCount, _In_ CXMMATRIX M); +XMVECTOR XMVector3Project(FXMVECTOR V, float ViewportX, float ViewportY, float ViewportWidth, float ViewportHeight, float ViewportMinZ, float ViewportMaxZ, + CXMMATRIX Projection, CXMMATRIX View, CXMMATRIX World); +XMFLOAT3* XMVector3ProjectStream(_Out_writes_bytes_(sizeof(XMFLOAT3)+OutputStride*(VectorCount-1)) XMFLOAT3* pOutputStream, + _In_ size_t OutputStride, + _In_reads_bytes_(sizeof(XMFLOAT3)+InputStride*(VectorCount-1)) const XMFLOAT3* pInputStream, + _In_ size_t InputStride, _In_ size_t VectorCount, + _In_ float ViewportX, _In_ float ViewportY, _In_ float ViewportWidth, _In_ float ViewportHeight, _In_ float ViewportMinZ, _In_ float ViewportMaxZ, + _In_ CXMMATRIX Projection, _In_ CXMMATRIX View, _In_ CXMMATRIX World); +XMVECTOR XMVector3Unproject(FXMVECTOR V, float ViewportX, float ViewportY, float ViewportWidth, float ViewportHeight, float ViewportMinZ, float ViewportMaxZ, + CXMMATRIX Projection, CXMMATRIX View, CXMMATRIX World); +XMFLOAT3* XMVector3UnprojectStream(_Out_writes_bytes_(sizeof(XMFLOAT3)+OutputStride*(VectorCount-1)) XMFLOAT3* pOutputStream, + _In_ size_t OutputStride, + _In_reads_bytes_(sizeof(XMFLOAT3)+InputStride*(VectorCount-1)) const XMFLOAT3* pInputStream, + _In_ size_t InputStride, _In_ size_t VectorCount, + _In_ float ViewportX, _In_ float ViewportY, _In_ float ViewportWidth, _In_ float ViewportHeight, _In_ float ViewportMinZ, _In_ float ViewportMaxZ, + _In_ CXMMATRIX Projection, _In_ CXMMATRIX View, _In_ CXMMATRIX World); + +/**************************************************************************** + * + * 4D vector operations + * + ****************************************************************************/ + +bool XMVector4Equal(FXMVECTOR V1, FXMVECTOR V2); +uint32_t XMVector4EqualR(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector4EqualInt(FXMVECTOR V1, FXMVECTOR V2); +uint32_t XMVector4EqualIntR(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector4NearEqual(FXMVECTOR V1, FXMVECTOR V2, FXMVECTOR Epsilon); +bool XMVector4NotEqual(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector4NotEqualInt(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector4Greater(FXMVECTOR V1, FXMVECTOR V2); +uint32_t XMVector4GreaterR(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector4GreaterOrEqual(FXMVECTOR V1, FXMVECTOR V2); +uint32_t XMVector4GreaterOrEqualR(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector4Less(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector4LessOrEqual(FXMVECTOR V1, FXMVECTOR V2); +bool XMVector4InBounds(FXMVECTOR V, FXMVECTOR Bounds); + +bool XMVector4IsNaN(FXMVECTOR V); +bool XMVector4IsInfinite(FXMVECTOR V); + +XMVECTOR XMVector4Dot(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVector4Cross(FXMVECTOR V1, FXMVECTOR V2, FXMVECTOR V3); +XMVECTOR XMVector4LengthSq(FXMVECTOR V); +XMVECTOR XMVector4ReciprocalLengthEst(FXMVECTOR V); +XMVECTOR XMVector4ReciprocalLength(FXMVECTOR V); +XMVECTOR XMVector4LengthEst(FXMVECTOR V); +XMVECTOR XMVector4Length(FXMVECTOR V); +XMVECTOR XMVector4NormalizeEst(FXMVECTOR V); +XMVECTOR XMVector4Normalize(FXMVECTOR V); +XMVECTOR XMVector4ClampLength(FXMVECTOR V, float LengthMin, float LengthMax); +XMVECTOR XMVector4ClampLengthV(FXMVECTOR V, FXMVECTOR LengthMin, FXMVECTOR LengthMax); +XMVECTOR XMVector4Reflect(FXMVECTOR Incident, FXMVECTOR Normal); +XMVECTOR XMVector4Refract(FXMVECTOR Incident, FXMVECTOR Normal, float RefractionIndex); +XMVECTOR XMVector4RefractV(FXMVECTOR Incident, FXMVECTOR Normal, FXMVECTOR RefractionIndex); +XMVECTOR XMVector4Orthogonal(FXMVECTOR V); +XMVECTOR XMVector4AngleBetweenNormalsEst(FXMVECTOR N1, FXMVECTOR N2); +XMVECTOR XMVector4AngleBetweenNormals(FXMVECTOR N1, FXMVECTOR N2); +XMVECTOR XMVector4AngleBetweenVectors(FXMVECTOR V1, FXMVECTOR V2); +XMVECTOR XMVector4Transform(FXMVECTOR V, CXMMATRIX M); +XMFLOAT4* XMVector4TransformStream(_Out_writes_bytes_(sizeof(XMFLOAT4)+OutputStride*(VectorCount-1)) XMFLOAT4* pOutputStream, + _In_ size_t OutputStride, + _In_reads_bytes_(sizeof(XMFLOAT4)+InputStride*(VectorCount-1)) const XMFLOAT4* pInputStream, + _In_ size_t InputStride, _In_ size_t VectorCount, _In_ CXMMATRIX M); + +/**************************************************************************** + * + * Matrix operations + * + ****************************************************************************/ + +bool XMMatrixIsNaN(CXMMATRIX M); +bool XMMatrixIsInfinite(CXMMATRIX M); +bool XMMatrixIsIdentity(CXMMATRIX M); + +XMMATRIX XMMatrixMultiply(CXMMATRIX M1, CXMMATRIX M2); +XMMATRIX XMMatrixMultiplyTranspose(CXMMATRIX M1, CXMMATRIX M2); +XMMATRIX XMMatrixTranspose(CXMMATRIX M); +XMMATRIX XMMatrixInverse(_Out_opt_ XMVECTOR* pDeterminant, _In_ CXMMATRIX M); +XMVECTOR XMMatrixDeterminant(CXMMATRIX M); +_Success_(return) +bool XMMatrixDecompose(_Out_ XMVECTOR *outScale, _Out_ XMVECTOR *outRotQuat, _Out_ XMVECTOR *outTrans, _In_ CXMMATRIX M); + +XMMATRIX XMMatrixIdentity(); +XMMATRIX XMMatrixSet(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); +XMMATRIX XMMatrixTranslation(float OffsetX, float OffsetY, float OffsetZ); +XMMATRIX XMMatrixTranslationFromVector(FXMVECTOR Offset); +XMMATRIX XMMatrixScaling(float ScaleX, float ScaleY, float ScaleZ); +XMMATRIX XMMatrixScalingFromVector(FXMVECTOR Scale); +XMMATRIX XMMatrixRotationX(float Angle); +XMMATRIX XMMatrixRotationY(float Angle); +XMMATRIX XMMatrixRotationZ(float Angle); +XMMATRIX XMMatrixRotationRollPitchYaw(float Pitch, float Yaw, float Roll); +XMMATRIX XMMatrixRotationRollPitchYawFromVector(FXMVECTOR Angles); +XMMATRIX XMMatrixRotationNormal(FXMVECTOR NormalAxis, float Angle); +XMMATRIX XMMatrixRotationAxis(FXMVECTOR Axis, float Angle); +XMMATRIX XMMatrixRotationQuaternion(FXMVECTOR Quaternion); +XMMATRIX XMMatrixTransformation2D(FXMVECTOR ScalingOrigin, float ScalingOrientation, FXMVECTOR Scaling, + FXMVECTOR RotationOrigin, float Rotation, GXMVECTOR Translation); +XMMATRIX XMMatrixTransformation(FXMVECTOR ScalingOrigin, FXMVECTOR ScalingOrientationQuaternion, FXMVECTOR Scaling, + GXMVECTOR RotationOrigin, CXMVECTOR RotationQuaternion, CXMVECTOR Translation); +XMMATRIX XMMatrixAffineTransformation2D(FXMVECTOR Scaling, FXMVECTOR RotationOrigin, float Rotation, FXMVECTOR Translation); +XMMATRIX XMMatrixAffineTransformation(FXMVECTOR Scaling, FXMVECTOR RotationOrigin, FXMVECTOR RotationQuaternion, GXMVECTOR Translation); +XMMATRIX XMMatrixReflect(FXMVECTOR ReflectionPlane); +XMMATRIX XMMatrixShadow(FXMVECTOR ShadowPlane, FXMVECTOR LightPosition); + +XMMATRIX XMMatrixLookAtLH(FXMVECTOR EyePosition, FXMVECTOR FocusPosition, FXMVECTOR UpDirection); +XMMATRIX XMMatrixLookAtRH(FXMVECTOR EyePosition, FXMVECTOR FocusPosition, FXMVECTOR UpDirection); +XMMATRIX XMMatrixLookToLH(FXMVECTOR EyePosition, FXMVECTOR EyeDirection, FXMVECTOR UpDirection); +XMMATRIX XMMatrixLookToRH(FXMVECTOR EyePosition, FXMVECTOR EyeDirection, FXMVECTOR UpDirection); +XMMATRIX XMMatrixPerspectiveLH(float ViewWidth, float ViewHeight, float NearZ, float FarZ); +XMMATRIX XMMatrixPerspectiveRH(float ViewWidth, float ViewHeight, float NearZ, float FarZ); +XMMATRIX XMMatrixPerspectiveFovLH(float FovAngleY, float AspectHByW, float NearZ, float FarZ); +XMMATRIX XMMatrixPerspectiveFovRH(float FovAngleY, float AspectHByW, float NearZ, float FarZ); +XMMATRIX XMMatrixPerspectiveOffCenterLH(float ViewLeft, float ViewRight, float ViewBottom, float ViewTop, float NearZ, float FarZ); +XMMATRIX XMMatrixPerspectiveOffCenterRH(float ViewLeft, float ViewRight, float ViewBottom, float ViewTop, float NearZ, float FarZ); +XMMATRIX XMMatrixOrthographicLH(float ViewWidth, float ViewHeight, float NearZ, float FarZ); +XMMATRIX XMMatrixOrthographicRH(float ViewWidth, float ViewHeight, float NearZ, float FarZ); +XMMATRIX XMMatrixOrthographicOffCenterLH(float ViewLeft, float ViewRight, float ViewBottom, float ViewTop, float NearZ, float FarZ); +XMMATRIX XMMatrixOrthographicOffCenterRH(float ViewLeft, float ViewRight, float ViewBottom, float ViewTop, float NearZ, float FarZ); + + +/**************************************************************************** + * + * Quaternion operations + * + ****************************************************************************/ + +bool XMQuaternionEqual(FXMVECTOR Q1, FXMVECTOR Q2); +bool XMQuaternionNotEqual(FXMVECTOR Q1, FXMVECTOR Q2); + +bool XMQuaternionIsNaN(FXMVECTOR Q); +bool XMQuaternionIsInfinite(FXMVECTOR Q); +bool XMQuaternionIsIdentity(FXMVECTOR Q); + +XMVECTOR XMQuaternionDot(FXMVECTOR Q1, FXMVECTOR Q2); +XMVECTOR XMQuaternionMultiply(FXMVECTOR Q1, FXMVECTOR Q2); +XMVECTOR XMQuaternionLengthSq(FXMVECTOR Q); +XMVECTOR XMQuaternionReciprocalLength(FXMVECTOR Q); +XMVECTOR XMQuaternionLength(FXMVECTOR Q); +XMVECTOR XMQuaternionNormalizeEst(FXMVECTOR Q); +XMVECTOR XMQuaternionNormalize(FXMVECTOR Q); +XMVECTOR XMQuaternionConjugate(FXMVECTOR Q); +XMVECTOR XMQuaternionInverse(FXMVECTOR Q); +XMVECTOR XMQuaternionLn(FXMVECTOR Q); +XMVECTOR XMQuaternionExp(FXMVECTOR Q); +XMVECTOR XMQuaternionSlerp(FXMVECTOR Q0, FXMVECTOR Q1, float t); +XMVECTOR XMQuaternionSlerpV(FXMVECTOR Q0, FXMVECTOR Q1, FXMVECTOR T); +XMVECTOR XMQuaternionSquad(FXMVECTOR Q0, FXMVECTOR Q1, FXMVECTOR Q2, GXMVECTOR Q3, float t); +XMVECTOR XMQuaternionSquadV(FXMVECTOR Q0, FXMVECTOR Q1, FXMVECTOR Q2, GXMVECTOR Q3, CXMVECTOR T); +void XMQuaternionSquadSetup(_Out_ XMVECTOR* pA, _Out_ XMVECTOR* pB, _Out_ XMVECTOR* pC, _In_ FXMVECTOR Q0, _In_ FXMVECTOR Q1, _In_ FXMVECTOR Q2, _In_ GXMVECTOR Q3); +XMVECTOR XMQuaternionBaryCentric(FXMVECTOR Q0, FXMVECTOR Q1, FXMVECTOR Q2, float f, float g); +XMVECTOR XMQuaternionBaryCentricV(FXMVECTOR Q0, FXMVECTOR Q1, FXMVECTOR Q2, GXMVECTOR F, CXMVECTOR G); + +XMVECTOR XMQuaternionIdentity(); +XMVECTOR XMQuaternionRotationRollPitchYaw(float Pitch, float Yaw, float Roll); +XMVECTOR XMQuaternionRotationRollPitchYawFromVector(FXMVECTOR Angles); +XMVECTOR XMQuaternionRotationNormal(FXMVECTOR NormalAxis, float Angle); +XMVECTOR XMQuaternionRotationAxis(FXMVECTOR Axis, float Angle); +XMVECTOR XMQuaternionRotationMatrix(CXMMATRIX M); + +void XMQuaternionToAxisAngle(_Out_ XMVECTOR* pAxis, _Out_ float* pAngle, _In_ FXMVECTOR Q); + +/**************************************************************************** + * + * Plane operations + * + ****************************************************************************/ + +bool XMPlaneEqual(FXMVECTOR P1, FXMVECTOR P2); +bool XMPlaneNearEqual(FXMVECTOR P1, FXMVECTOR P2, FXMVECTOR Epsilon); +bool XMPlaneNotEqual(FXMVECTOR P1, FXMVECTOR P2); + +bool XMPlaneIsNaN(FXMVECTOR P); +bool XMPlaneIsInfinite(FXMVECTOR P); + +XMVECTOR XMPlaneDot(FXMVECTOR P, FXMVECTOR V); +XMVECTOR XMPlaneDotCoord(FXMVECTOR P, FXMVECTOR V); +XMVECTOR XMPlaneDotNormal(FXMVECTOR P, FXMVECTOR V); +XMVECTOR XMPlaneNormalizeEst(FXMVECTOR P); +XMVECTOR XMPlaneNormalize(FXMVECTOR P); +XMVECTOR XMPlaneIntersectLine(FXMVECTOR P, FXMVECTOR LinePoint1, FXMVECTOR LinePoint2); +void XMPlaneIntersectPlane(_Out_ XMVECTOR* pLinePoint1, _Out_ XMVECTOR* pLinePoint2, _In_ FXMVECTOR P1, _In_ FXMVECTOR P2); +XMVECTOR XMPlaneTransform(FXMVECTOR P, CXMMATRIX M); +XMFLOAT4* XMPlaneTransformStream(_Out_writes_bytes_(sizeof(XMFLOAT4)+OutputStride*(PlaneCount-1)) XMFLOAT4* pOutputStream, + _In_ size_t OutputStride, + _In_reads_bytes_(sizeof(XMFLOAT4)+InputStride*(PlaneCount-1)) const XMFLOAT4* pInputStream, + _In_ size_t InputStride, _In_ size_t PlaneCount, _In_ CXMMATRIX M); + +XMVECTOR XMPlaneFromPointNormal(FXMVECTOR Point, FXMVECTOR Normal); +XMVECTOR XMPlaneFromPoints(FXMVECTOR Point1, FXMVECTOR Point2, FXMVECTOR Point3); + +/**************************************************************************** + * + * Color operations + * + ****************************************************************************/ + +bool XMColorEqual(FXMVECTOR C1, FXMVECTOR C2); +bool XMColorNotEqual(FXMVECTOR C1, FXMVECTOR C2); +bool XMColorGreater(FXMVECTOR C1, FXMVECTOR C2); +bool XMColorGreaterOrEqual(FXMVECTOR C1, FXMVECTOR C2); +bool XMColorLess(FXMVECTOR C1, FXMVECTOR C2); +bool XMColorLessOrEqual(FXMVECTOR C1, FXMVECTOR C2); + +bool XMColorIsNaN(FXMVECTOR C); +bool XMColorIsInfinite(FXMVECTOR C); + +XMVECTOR XMColorNegative(FXMVECTOR C); +XMVECTOR XMColorModulate(FXMVECTOR C1, FXMVECTOR C2); +XMVECTOR XMColorAdjustSaturation(FXMVECTOR C, float Saturation); +XMVECTOR XMColorAdjustContrast(FXMVECTOR C, float Contrast); + +XMVECTOR XMColorRGBToHSL( FXMVECTOR rgb ); +XMVECTOR XMColorHSLToRGB( FXMVECTOR hsl ); + +XMVECTOR XMColorRGBToHSV( FXMVECTOR rgb ); +XMVECTOR XMColorHSVToRGB( FXMVECTOR hsv ); + +XMVECTOR XMColorRGBToYUV( FXMVECTOR rgb ); +XMVECTOR XMColorYUVToRGB( FXMVECTOR yuv ); + +XMVECTOR XMColorRGBToYUV_HD( FXMVECTOR rgb ); +XMVECTOR XMColorYUVToRGB_HD( FXMVECTOR yuv ); + +XMVECTOR XMColorRGBToXYZ( FXMVECTOR rgb ); +XMVECTOR XMColorXYZToRGB( FXMVECTOR xyz ); + +XMVECTOR XMColorXYZToSRGB( FXMVECTOR xyz ); +XMVECTOR XMColorSRGBToXYZ( FXMVECTOR srgb ); + +/**************************************************************************** + * + * Miscellaneous operations + * + ****************************************************************************/ + +bool XMVerifyCPUSupport(); + +XMVECTOR XMFresnelTerm(FXMVECTOR CosIncidentAngle, FXMVECTOR RefractionIndex); + +bool XMScalarNearEqual(float S1, float S2, float Epsilon); +float XMScalarModAngle(float Value); + +float XMScalarSin(float Value); +float XMScalarSinEst(float Value); + +float XMScalarCos(float Value); +float XMScalarCosEst(float Value); + +void XMScalarSinCos(_Out_ float* pSin, _Out_ float* pCos, float Value); +void XMScalarSinCosEst(_Out_ float* pSin, _Out_ float* pCos, float Value); + +float XMScalarASin(float Value); +float XMScalarASinEst(float Value); + +float XMScalarACos(float Value); +float XMScalarACosEst(float Value); + +/**************************************************************************** + * + * Templates + * + ****************************************************************************/ + +#if defined(__XNAMATH_H__) && defined(XMMin) +#undef XMMin +#undef XMMax +#endif + +template<class T> inline T XMMin(T a, T b) { return (a < b) ? a : b; } +template<class T> inline T XMMax(T a, T b) { return (a > b) ? a : b; } + +//------------------------------------------------------------------------------ + +#if defined(_XM_SSE_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) + +#define XM_PERMUTE_PS( v, c ) _mm_shuffle_ps( v, v, c ) + +// PermuteHelper internal template (SSE only) +namespace Internal +{ + // Slow path fallback for permutes that do not map to a single SSE shuffle opcode. + template<uint32_t Shuffle, bool WhichX, bool WhichY, bool WhichZ, bool WhichW> struct PermuteHelper + { + static XMVECTOR Permute(FXMVECTOR v1, FXMVECTOR v2) + { + static const XMVECTORU32 selectMask = + { + WhichX ? 0xFFFFFFFF : 0, + WhichY ? 0xFFFFFFFF : 0, + WhichZ ? 0xFFFFFFFF : 0, + WhichW ? 0xFFFFFFFF : 0, + }; + + XMVECTOR shuffled1 = XM_PERMUTE_PS(v1, Shuffle); + XMVECTOR shuffled2 = XM_PERMUTE_PS(v2, Shuffle); + + XMVECTOR masked1 = _mm_andnot_ps(selectMask, shuffled1); + XMVECTOR masked2 = _mm_and_ps(selectMask, shuffled2); + + return _mm_or_ps(masked1, masked2); + } + }; + + // Fast path for permutes that only read from the first vector. + template<uint32_t Shuffle> struct PermuteHelper<Shuffle, false, false, false, false> + { + static XMVECTOR Permute(FXMVECTOR v1, FXMVECTOR v2) { (v2); return XM_PERMUTE_PS(v1, Shuffle); } + }; + + // Fast path for permutes that only read from the second vector. + template<uint32_t Shuffle> struct PermuteHelper<Shuffle, true, true, true, true> + { + static XMVECTOR Permute(FXMVECTOR v1, FXMVECTOR v2){ (v1); return XM_PERMUTE_PS(v2, Shuffle); } + }; + + // Fast path for permutes that read XY from the first vector, ZW from the second. + template<uint32_t Shuffle> struct PermuteHelper<Shuffle, false, false, true, true> + { + static XMVECTOR Permute(FXMVECTOR v1, FXMVECTOR v2) { return _mm_shuffle_ps(v1, v2, Shuffle); } + }; + + // Fast path for permutes that read XY from the second vector, ZW from the first. + template<uint32_t Shuffle> struct PermuteHelper<Shuffle, true, true, false, false> + { + static XMVECTOR Permute(FXMVECTOR v1, FXMVECTOR v2) { return _mm_shuffle_ps(v2, v1, Shuffle); } + }; +}; + +#endif // _XM_SSE_INTRINSICS_ && !_XM_NO_INTRINSICS_ + +// General permute template +template<uint32_t PermuteX, uint32_t PermuteY, uint32_t PermuteZ, uint32_t PermuteW> + inline XMVECTOR XMVectorPermute(FXMVECTOR V1, FXMVECTOR V2) +{ + static_assert(PermuteX <= 7, "PermuteX template parameter out of range"); + static_assert(PermuteY <= 7, "PermuteY template parameter out of range"); + static_assert(PermuteZ <= 7, "PermuteZ template parameter out of range"); + static_assert(PermuteW <= 7, "PermuteW template parameter out of range"); + +#if defined(_XM_SSE_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) + const uint32_t Shuffle = _MM_SHUFFLE(PermuteW & 3, PermuteZ & 3, PermuteY & 3, PermuteX & 3); + + const bool WhichX = PermuteX > 3; + const bool WhichY = PermuteY > 3; + const bool WhichZ = PermuteZ > 3; + const bool WhichW = PermuteW > 3; + + return Internal::PermuteHelper<Shuffle, WhichX, WhichY, WhichZ, WhichW>::Permute(V1, V2); +#else + + return XMVectorPermute( V1, V2, PermuteX, PermuteY, PermuteZ, PermuteW ); + +#endif +} + +// Special-case permute templates +template<> inline XMVECTOR XMVectorPermute<0,1,2,3>(FXMVECTOR V1, FXMVECTOR V2) { (V2); return V1; } +template<> inline XMVECTOR XMVectorPermute<4,5,6,7>(FXMVECTOR V1, FXMVECTOR V2) { (V1); return V2; } + +#if defined(_XM_ARM_NEON_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) + +// If the indices are all in the range 0-3 or 4-7, then use XMVectorSwizzle instead +// The mirror cases are not spelled out here as the programmer can always swap the arguments +// (i.e. prefer permutes where the X element comes from the V1 vector instead of the V2 vector) + +template<> inline XMVECTOR XMVectorPermute<0,1,4,5>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vget_low_f32(V1), vget_low_f32(V2) ); } +template<> inline XMVECTOR XMVectorPermute<1,0,4,5>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vrev64_f32( vget_low_f32(V1) ), vget_low_f32(V2) ); } +template<> inline XMVECTOR XMVectorPermute<0,1,5,4>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vget_low_f32(V1), vrev64_f32( vget_low_f32(V2) ) ); } +template<> inline XMVECTOR XMVectorPermute<1,0,5,4>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vrev64_f32( vget_low_f32(V1) ), vrev64_f32( vget_low_f32(V2) ) ); } + +template<> inline XMVECTOR XMVectorPermute<2,3,6,7>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vget_high_f32(V1), vget_high_f32(V2) ); } +template<> inline XMVECTOR XMVectorPermute<3,2,6,7>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vrev64_f32( vget_high_f32(V1) ), vget_high_f32(V2) ); } +template<> inline XMVECTOR XMVectorPermute<2,3,7,6>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vget_high_f32(V1), vrev64_f32( vget_high_f32(V2) ) ); } +template<> inline XMVECTOR XMVectorPermute<3,2,7,6>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vrev64_f32( vget_high_f32(V1) ), vrev64_f32( vget_high_f32(V2) ) ); } + +template<> inline XMVECTOR XMVectorPermute<0,1,6,7>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vget_low_f32(V1), vget_high_f32(V2) ); } +template<> inline XMVECTOR XMVectorPermute<1,0,6,7>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vrev64_f32( vget_low_f32(V1) ), vget_high_f32(V2) ); } +template<> inline XMVECTOR XMVectorPermute<0,1,7,6>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vget_low_f32(V1), vrev64_f32( vget_high_f32(V2) ) ); } +template<> inline XMVECTOR XMVectorPermute<1,0,7,6>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vrev64_f32( vget_low_f32(V1) ), vrev64_f32( vget_high_f32(V2) ) ); } + +template<> inline XMVECTOR XMVectorPermute<3,2,4,5>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vrev64_f32( vget_high_f32(V1) ), vget_low_f32(V2) ); } +template<> inline XMVECTOR XMVectorPermute<2,3,5,4>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vget_high_f32(V1), vrev64_f32( vget_low_f32(V2) ) ); } +template<> inline XMVECTOR XMVectorPermute<3,2,5,4>(FXMVECTOR V1, FXMVECTOR V2) { return vcombine_f32( vrev64_f32( vget_high_f32(V1) ), vrev64_f32( vget_low_f32(V2) ) ); } + +template<> inline XMVECTOR XMVectorPermute<0,4,2,6>(FXMVECTOR V1, FXMVECTOR V2) { return vtrnq_f32(V1,V2).val[0]; } +template<> inline XMVECTOR XMVectorPermute<1,5,3,7>(FXMVECTOR V1, FXMVECTOR V2) { return vtrnq_f32(V1,V2).val[1]; } + +template<> inline XMVECTOR XMVectorPermute<0,4,1,5>(FXMVECTOR V1, FXMVECTOR V2) { return vzipq_f32(V1,V2).val[0]; } +template<> inline XMVECTOR XMVectorPermute<2,6,3,7>(FXMVECTOR V1, FXMVECTOR V2) { return vzipq_f32(V1,V2).val[1]; } + +template<> inline XMVECTOR XMVectorPermute<0,2,4,6>(FXMVECTOR V1, FXMVECTOR V2) { return vuzpq_f32(V1,V2).val[0]; } +template<> inline XMVECTOR XMVectorPermute<1,3,5,7>(FXMVECTOR V1, FXMVECTOR V2) { return vuzpq_f32(V1,V2).val[1]; } + +template<> inline XMVECTOR XMVectorPermute<1,2,3,4>(FXMVECTOR V1, FXMVECTOR V2) { return vextq_f32(V1, V2, 1); } +template<> inline XMVECTOR XMVectorPermute<2,3,4,5>(FXMVECTOR V1, FXMVECTOR V2) { return vextq_f32(V1, V2, 2); } +template<> inline XMVECTOR XMVectorPermute<3,4,5,6>(FXMVECTOR V1, FXMVECTOR V2) { return vextq_f32(V1, V2, 3); } + +#endif // _XM_ARM_NEON_INTRINSICS_ && !_XM_NO_INTRINSICS_ + +//------------------------------------------------------------------------------ + +// General swizzle template +template<uint32_t SwizzleX, uint32_t SwizzleY, uint32_t SwizzleZ, uint32_t SwizzleW> + inline XMVECTOR XMVectorSwizzle(FXMVECTOR V) +{ + static_assert(SwizzleX <= 3, "SwizzleX template parameter out of range"); + static_assert(SwizzleY <= 3, "SwizzleY template parameter out of range"); + static_assert(SwizzleZ <= 3, "SwizzleZ template parameter out of range"); + static_assert(SwizzleW <= 3, "SwizzleW template parameter out of range"); + +#if defined(_XM_SSE_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) + return XM_PERMUTE_PS( V, _MM_SHUFFLE( SwizzleW, SwizzleZ, SwizzleY, SwizzleX ) ); +#elif defined(_XM_VMX128_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) + return __vpermwi(V, ((SwizzleX & 3) << 6) | ((SwizzleY & 3) << 4) | ((SwizzleZ & 3) << 2) | (SwizzleW & 3) ); +#else + + return XMVectorSwizzle( V, SwizzleX, SwizzleY, SwizzleZ, SwizzleW ); + +#endif +} + +// Specialized swizzles +template<> inline XMVECTOR XMVectorSwizzle<0,1,2,3>(FXMVECTOR V) { return V; } + + +#if defined(_XM_ARM_NEON_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) + +template<> inline XMVECTOR XMVectorSwizzle<0,0,0,0>(FXMVECTOR V) { return vdupq_lane_f32( vget_low_f32(V), 0); } +template<> inline XMVECTOR XMVectorSwizzle<1,1,1,1>(FXMVECTOR V) { return vdupq_lane_f32( vget_low_f32(V), 1); } +template<> inline XMVECTOR XMVectorSwizzle<2,2,2,2>(FXMVECTOR V) { return vdupq_lane_f32( vget_high_f32(V), 0); } +template<> inline XMVECTOR XMVectorSwizzle<3,3,3,3>(FXMVECTOR V) { return vdupq_lane_f32( vget_high_f32(V), 1); } + +template<> inline XMVECTOR XMVectorSwizzle<1,0,3,2>(FXMVECTOR V) { return vrev64q_f32(V); } + +template<> inline XMVECTOR XMVectorSwizzle<0,1,0,1>(FXMVECTOR V) { __n64 vt = vget_low_f32(V); return vcombine_f32( vt, vt ); } +template<> inline XMVECTOR XMVectorSwizzle<2,3,2,3>(FXMVECTOR V) { __n64 vt = vget_high_f32(V); return vcombine_f32( vt, vt ); } +template<> inline XMVECTOR XMVectorSwizzle<1,0,1,0>(FXMVECTOR V) { __n64 vt = vrev64_f32( vget_low_f32(V) ); return vcombine_f32( vt, vt ); } +template<> inline XMVECTOR XMVectorSwizzle<3,2,3,2>(FXMVECTOR V) { __n64 vt = vrev64_f32( vget_high_f32(V) ); return vcombine_f32( vt, vt ); } + +template<> inline XMVECTOR XMVectorSwizzle<0,1,3,2>(FXMVECTOR V) { return vcombine_f32( vget_low_f32(V), vrev64_f32( vget_high_f32(V) ) ); } +template<> inline XMVECTOR XMVectorSwizzle<1,0,2,3>(FXMVECTOR V) { return vcombine_f32( vrev64_f32( vget_low_f32(V) ), vget_high_f32(V) ); } +template<> inline XMVECTOR XMVectorSwizzle<2,3,1,0>(FXMVECTOR V) { return vcombine_f32( vget_high_f32(V), vrev64_f32( vget_low_f32(V) ) ); } +template<> inline XMVECTOR XMVectorSwizzle<3,2,0,1>(FXMVECTOR V) { return vcombine_f32( vrev64_f32( vget_high_f32(V) ), vget_low_f32(V) ); } +template<> inline XMVECTOR XMVectorSwizzle<3,2,1,0>(FXMVECTOR V) { return vcombine_f32( vrev64_f32( vget_high_f32(V) ), vrev64_f32( vget_low_f32(V) ) ); } + +template<> inline XMVECTOR XMVectorSwizzle<0,0,2,2>(FXMVECTOR V) { return vtrnq_f32(V,V).val[0]; } +template<> inline XMVECTOR XMVectorSwizzle<1,1,3,3>(FXMVECTOR V) { return vtrnq_f32(V,V).val[1]; } + +template<> inline XMVECTOR XMVectorSwizzle<0,0,1,1>(FXMVECTOR V) { return vzipq_f32(V,V).val[0]; } +template<> inline XMVECTOR XMVectorSwizzle<2,2,3,3>(FXMVECTOR V) { return vzipq_f32(V,V).val[1]; } + +template<> inline XMVECTOR XMVectorSwizzle<0,2,0,2>(FXMVECTOR V) { return vuzpq_f32(V,V).val[0]; } +template<> inline XMVECTOR XMVectorSwizzle<1,3,1,3>(FXMVECTOR V) { return vuzpq_f32(V,V).val[1]; } + +template<> inline XMVECTOR XMVectorSwizzle<1,2,3,0>(FXMVECTOR V) { return vextq_f32(V, V, 1); } +template<> inline XMVECTOR XMVectorSwizzle<2,3,0,1>(FXMVECTOR V) { return vextq_f32(V, V, 2); } +template<> inline XMVECTOR XMVectorSwizzle<3,0,1,2>(FXMVECTOR V) { return vextq_f32(V, V, 3); } + +#endif // _XM_ARM_NEON_INTRINSICS_ && !_XM_NO_INTRINSICS_ + +//------------------------------------------------------------------------------ + +template<uint32_t Elements> + inline XMVECTOR XMVectorShiftLeft(FXMVECTOR V1, FXMVECTOR V2) +{ + static_assert( Elements < 4, "Elements template parameter out of range" ); +#if defined(_XM_VMX128_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) +#else + return XMVectorPermute<Elements, (Elements + 1), (Elements + 2), (Elements + 3)>(V1, V2); +#endif +} + +template<uint32_t Elements> + inline XMVECTOR XMVectorRotateLeft(FXMVECTOR V) +{ + static_assert( Elements < 4, "Elements template parameter out of range" ); +#if defined(_XM_VMX128_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) +#else + return XMVectorSwizzle<Elements & 3, (Elements + 1) & 3, (Elements + 2) & 3, (Elements + 3) & 3>(V); +#endif +} + +template<uint32_t Elements> + inline XMVECTOR XMVectorRotateRight(FXMVECTOR V) +{ + static_assert( Elements < 4, "Elements template parameter out of range" ); +#if defined(_XM_VMX128_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) +#else + return XMVectorSwizzle<(4 - Elements) & 3, (5 - Elements) & 3, (6 - Elements) & 3, (7 - Elements) & 3>(V); +#endif +} + +template<uint32_t VSLeftRotateElements, uint32_t Select0, uint32_t Select1, uint32_t Select2, uint32_t Select3> + inline XMVECTOR XMVectorInsert(FXMVECTOR VD, FXMVECTOR VS) +{ +#if defined(_XM_VMX128_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_) +#else + XMVECTOR Control = XMVectorSelectControl(Select0&1, Select1&1, Select2&1, Select3&1); + return XMVectorSelect( VD, XMVectorRotateLeft<VSLeftRotateElements>(VS), Control ); +#endif +} + +/**************************************************************************** + * + * Globals + * + ****************************************************************************/ + +// The purpose of the following global constants is to prevent redundant +// reloading of the constants when they are referenced by more than one +// separate inline math routine called within the same function. Declaring +// a constant locally within a routine is sufficient to prevent redundant +// reloads of that constant when that single routine is called multiple +// times in a function, but if the constant is used (and declared) in a +// separate math routine it would be reloaded. + +#ifndef XMGLOBALCONST +#define XMGLOBALCONST static const // extern const // MGH - __declspec(selectany) +#endif + +XMGLOBALCONST XMVECTORF32 g_XMSinCoefficients0 = {-0.16666667f, +0.0083333310f, -0.00019840874f, +2.7525562e-06f}; +XMGLOBALCONST XMVECTORF32 g_XMSinCoefficients1 = {-2.3889859e-08f, -0.16665852f /*Est1*/, +0.0083139502f /*Est2*/, -0.00018524670f /*Est3*/}; +XMGLOBALCONST XMVECTORF32 g_XMCosCoefficients0 = {-0.5f, +0.041666638f, -0.0013888378f, +2.4760495e-05f}; +XMGLOBALCONST XMVECTORF32 g_XMCosCoefficients1 = {-2.6051615e-07f, -0.49992746f /*Est1*/, +0.041493919f /*Est2*/, -0.0012712436f /*Est3*/}; +XMGLOBALCONST XMVECTORF32 g_XMTanCoefficients0 = {1.0f, 0.333333333f, 0.133333333f, 5.396825397e-2f}; +XMGLOBALCONST XMVECTORF32 g_XMTanCoefficients1 = {2.186948854e-2f, 8.863235530e-3f, 3.592128167e-3f, 1.455834485e-3f}; +XMGLOBALCONST XMVECTORF32 g_XMTanCoefficients2 = {5.900274264e-4f, 2.391290764e-4f, 9.691537707e-5f, 3.927832950e-5f}; +XMGLOBALCONST XMVECTORF32 g_XMArcCoefficients0 = {+1.5707963050f, -0.2145988016f, +0.0889789874f, -0.0501743046f}; +XMGLOBALCONST XMVECTORF32 g_XMArcCoefficients1 = {+0.0308918810f, -0.0170881256f, +0.0066700901f, -0.0012624911f}; +XMGLOBALCONST XMVECTORF32 g_XMATanCoefficients0 = {-0.3333314528f, +0.1999355085f, -0.1420889944f, +0.1065626393f}; +XMGLOBALCONST XMVECTORF32 g_XMATanCoefficients1 = {-0.0752896400f, +0.0429096138f, -0.0161657367f, +0.0028662257f}; +XMGLOBALCONST XMVECTORF32 g_XMATanEstCoefficients0 = {+0.999866f, +0.999866f, +0.999866f, +0.999866f}; +XMGLOBALCONST XMVECTORF32 g_XMATanEstCoefficients1 = {-0.3302995f, +0.180141f, -0.085133f, +0.0208351f}; +XMGLOBALCONST XMVECTORF32 g_XMTanEstCoefficients = {2.484f, -1.954923183e-1f, 2.467401101f, XM_1DIVPI}; +XMGLOBALCONST XMVECTORF32 g_XMArcEstCoefficients = {+1.5707288f,-0.2121144f,+0.0742610f,-0.0187293f}; +XMGLOBALCONST XMVECTORF32 g_XMPiConstants0 = {XM_PI, XM_2PI, XM_1DIVPI, XM_1DIV2PI}; +XMGLOBALCONST XMVECTORF32 g_XMIdentityR0 = {1.0f, 0.0f, 0.0f, 0.0f}; +XMGLOBALCONST XMVECTORF32 g_XMIdentityR1 = {0.0f, 1.0f, 0.0f, 0.0f}; +XMGLOBALCONST XMVECTORF32 g_XMIdentityR2 = {0.0f, 0.0f, 1.0f, 0.0f}; +XMGLOBALCONST XMVECTORF32 g_XMIdentityR3 = {0.0f, 0.0f, 0.0f, 1.0f}; +XMGLOBALCONST XMVECTORF32 g_XMNegIdentityR0 = {-1.0f,0.0f, 0.0f, 0.0f}; +XMGLOBALCONST XMVECTORF32 g_XMNegIdentityR1 = {0.0f,-1.0f, 0.0f, 0.0f}; +XMGLOBALCONST XMVECTORF32 g_XMNegIdentityR2 = {0.0f, 0.0f,-1.0f, 0.0f}; +XMGLOBALCONST XMVECTORF32 g_XMNegIdentityR3 = {0.0f, 0.0f, 0.0f,-1.0f}; +XMGLOBALCONST XMVECTORI32 g_XMNegativeZero = {0x80000000, 0x80000000, 0x80000000, 0x80000000}; +XMGLOBALCONST XMVECTORI32 g_XMNegate3 = {0x80000000, 0x80000000, 0x80000000, 0x00000000}; +XMGLOBALCONST XMVECTORI32 g_XMMask3 = {0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000}; +XMGLOBALCONST XMVECTORI32 g_XMMaskX = {0xFFFFFFFF, 0x00000000, 0x00000000, 0x00000000}; +XMGLOBALCONST XMVECTORI32 g_XMMaskY = {0x00000000, 0xFFFFFFFF, 0x00000000, 0x00000000}; +XMGLOBALCONST XMVECTORI32 g_XMMaskZ = {0x00000000, 0x00000000, 0xFFFFFFFF, 0x00000000}; +XMGLOBALCONST XMVECTORI32 g_XMMaskW = {0x00000000, 0x00000000, 0x00000000, 0xFFFFFFFF}; +XMGLOBALCONST XMVECTORF32 g_XMOne = { 1.0f, 1.0f, 1.0f, 1.0f}; +XMGLOBALCONST XMVECTORF32 g_XMOne3 = { 1.0f, 1.0f, 1.0f, 0.0f}; +XMGLOBALCONST XMVECTORF32 g_XMZero = { 0.0f, 0.0f, 0.0f, 0.0f}; +XMGLOBALCONST XMVECTORF32 g_XMTwo = { 2.f, 2.f, 2.f, 2.f }; +XMGLOBALCONST XMVECTORF32 g_XMFour = { 4.f, 4.f, 4.f, 4.f }; +XMGLOBALCONST XMVECTORF32 g_XMSix = { 6.f, 6.f, 6.f, 6.f }; +XMGLOBALCONST XMVECTORF32 g_XMNegativeOne = {-1.0f,-1.0f,-1.0f,-1.0f}; +XMGLOBALCONST XMVECTORF32 g_XMOneHalf = { 0.5f, 0.5f, 0.5f, 0.5f}; +XMGLOBALCONST XMVECTORF32 g_XMNegativeOneHalf = {-0.5f,-0.5f,-0.5f,-0.5f}; +XMGLOBALCONST XMVECTORF32 g_XMNegativeTwoPi = {-XM_2PI, -XM_2PI, -XM_2PI, -XM_2PI}; +XMGLOBALCONST XMVECTORF32 g_XMNegativePi = {-XM_PI, -XM_PI, -XM_PI, -XM_PI}; +XMGLOBALCONST XMVECTORF32 g_XMHalfPi = {XM_PIDIV2, XM_PIDIV2, XM_PIDIV2, XM_PIDIV2}; +XMGLOBALCONST XMVECTORF32 g_XMPi = {XM_PI, XM_PI, XM_PI, XM_PI}; +XMGLOBALCONST XMVECTORF32 g_XMReciprocalPi = {XM_1DIVPI, XM_1DIVPI, XM_1DIVPI, XM_1DIVPI}; +XMGLOBALCONST XMVECTORF32 g_XMTwoPi = {XM_2PI, XM_2PI, XM_2PI, XM_2PI}; +XMGLOBALCONST XMVECTORF32 g_XMReciprocalTwoPi = {XM_1DIV2PI, XM_1DIV2PI, XM_1DIV2PI, XM_1DIV2PI}; +XMGLOBALCONST XMVECTORF32 g_XMEpsilon = {1.192092896e-7f, 1.192092896e-7f, 1.192092896e-7f, 1.192092896e-7f}; +XMGLOBALCONST XMVECTORI32 g_XMInfinity = {0x7F800000, 0x7F800000, 0x7F800000, 0x7F800000}; +XMGLOBALCONST XMVECTORI32 g_XMQNaN = {0x7FC00000, 0x7FC00000, 0x7FC00000, 0x7FC00000}; +XMGLOBALCONST XMVECTORI32 g_XMQNaNTest = {0x007FFFFF, 0x007FFFFF, 0x007FFFFF, 0x007FFFFF}; +XMGLOBALCONST XMVECTORI32 g_XMAbsMask = {0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF, 0x7FFFFFFF}; +XMGLOBALCONST XMVECTORI32 g_XMFltMin = {0x00800000, 0x00800000, 0x00800000, 0x00800000}; +XMGLOBALCONST XMVECTORI32 g_XMFltMax = {0x7F7FFFFF, 0x7F7FFFFF, 0x7F7FFFFF, 0x7F7FFFFF}; +XMGLOBALCONST XMVECTORI32 g_XMNegOneMask = {0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF}; +XMGLOBALCONST XMVECTORI32 g_XMMaskA8R8G8B8 = {0x00FF0000, 0x0000FF00, 0x000000FF, 0xFF000000}; +XMGLOBALCONST XMVECTORI32 g_XMFlipA8R8G8B8 = {0x00000000, 0x00000000, 0x00000000, 0x80000000}; +XMGLOBALCONST XMVECTORF32 g_XMFixAA8R8G8B8 = {0.0f,0.0f,0.0f,(float)(0x80000000U)}; +XMGLOBALCONST XMVECTORF32 g_XMNormalizeA8R8G8B8 = {1.0f/(255.0f*(float)(0x10000)),1.0f/(255.0f*(float)(0x100)),1.0f/255.0f,1.0f/(255.0f*(float)(0x1000000))}; +XMGLOBALCONST XMVECTORI32 g_XMMaskA2B10G10R10 = {0x000003FF, 0x000FFC00, 0x3FF00000, 0xC0000000}; +XMGLOBALCONST XMVECTORI32 g_XMFlipA2B10G10R10 = {0x00000200, 0x00080000, 0x20000000, 0x80000000}; +XMGLOBALCONST XMVECTORF32 g_XMFixAA2B10G10R10 = {-512.0f,-512.0f*(float)(0x400),-512.0f*(float)(0x100000),(float)(0x80000000U)}; +XMGLOBALCONST XMVECTORF32 g_XMNormalizeA2B10G10R10 = {1.0f/511.0f,1.0f/(511.0f*(float)(0x400)),1.0f/(511.0f*(float)(0x100000)),1.0f/(3.0f*(float)(0x40000000))}; +XMGLOBALCONST XMVECTORI32 g_XMMaskX16Y16 = {0x0000FFFF, 0xFFFF0000, 0x00000000, 0x00000000}; +XMGLOBALCONST XMVECTORI32 g_XMFlipX16Y16 = {0x00008000, 0x00000000, 0x00000000, 0x00000000}; +XMGLOBALCONST XMVECTORF32 g_XMFixX16Y16 = {-32768.0f,0.0f,0.0f,0.0f}; +XMGLOBALCONST XMVECTORF32 g_XMNormalizeX16Y16 = {1.0f/32767.0f,1.0f/(32767.0f*65536.0f),0.0f,0.0f}; +XMGLOBALCONST XMVECTORI32 g_XMMaskX16Y16Z16W16 = {0x0000FFFF, 0x0000FFFF, 0xFFFF0000, 0xFFFF0000}; +XMGLOBALCONST XMVECTORI32 g_XMFlipX16Y16Z16W16 = {0x00008000, 0x00008000, 0x00000000, 0x00000000}; +XMGLOBALCONST XMVECTORF32 g_XMFixX16Y16Z16W16 = {-32768.0f,-32768.0f,0.0f,0.0f}; +XMGLOBALCONST XMVECTORF32 g_XMNormalizeX16Y16Z16W16 = {1.0f/32767.0f,1.0f/32767.0f,1.0f/(32767.0f*65536.0f),1.0f/(32767.0f*65536.0f)}; +XMGLOBALCONST XMVECTORF32 g_XMNoFraction = {8388608.0f,8388608.0f,8388608.0f,8388608.0f}; +XMGLOBALCONST XMVECTORI32 g_XMMaskByte = {0x000000FF, 0x000000FF, 0x000000FF, 0x000000FF}; +XMGLOBALCONST XMVECTORF32 g_XMNegateX = {-1.0f, 1.0f, 1.0f, 1.0f}; +XMGLOBALCONST XMVECTORF32 g_XMNegateY = { 1.0f,-1.0f, 1.0f, 1.0f}; +XMGLOBALCONST XMVECTORF32 g_XMNegateZ = { 1.0f, 1.0f,-1.0f, 1.0f}; +XMGLOBALCONST XMVECTORF32 g_XMNegateW = { 1.0f, 1.0f, 1.0f,-1.0f}; +XMGLOBALCONST XMVECTORI32 g_XMSelect0101 = {XM_SELECT_0, XM_SELECT_1, XM_SELECT_0, XM_SELECT_1}; +XMGLOBALCONST XMVECTORI32 g_XMSelect1010 = {XM_SELECT_1, XM_SELECT_0, XM_SELECT_1, XM_SELECT_0}; +XMGLOBALCONST XMVECTORI32 g_XMOneHalfMinusEpsilon = { 0x3EFFFFFD, 0x3EFFFFFD, 0x3EFFFFFD, 0x3EFFFFFD}; +XMGLOBALCONST XMVECTORI32 g_XMSelect1000 = {XM_SELECT_1, XM_SELECT_0, XM_SELECT_0, XM_SELECT_0}; +XMGLOBALCONST XMVECTORI32 g_XMSelect1100 = {XM_SELECT_1, XM_SELECT_1, XM_SELECT_0, XM_SELECT_0}; +XMGLOBALCONST XMVECTORI32 g_XMSelect1110 = {XM_SELECT_1, XM_SELECT_1, XM_SELECT_1, XM_SELECT_0}; +XMGLOBALCONST XMVECTORI32 g_XMSelect1011 = { XM_SELECT_1, XM_SELECT_0, XM_SELECT_1, XM_SELECT_1 }; +XMGLOBALCONST XMVECTORF32 g_XMFixupY16 = {1.0f,1.0f/65536.0f,0.0f,0.0f}; +XMGLOBALCONST XMVECTORF32 g_XMFixupY16W16 = {1.0f,1.0f,1.0f/65536.0f,1.0f/65536.0f}; +XMGLOBALCONST XMVECTORI32 g_XMFlipY = {0,0x80000000,0,0}; +XMGLOBALCONST XMVECTORI32 g_XMFlipZ = {0,0,0x80000000,0}; +XMGLOBALCONST XMVECTORI32 g_XMFlipW = {0,0,0,0x80000000}; +XMGLOBALCONST XMVECTORI32 g_XMFlipYZ = {0,0x80000000,0x80000000,0}; +XMGLOBALCONST XMVECTORI32 g_XMFlipZW = {0,0,0x80000000,0x80000000}; +XMGLOBALCONST XMVECTORI32 g_XMFlipYW = {0,0x80000000,0,0x80000000}; +XMGLOBALCONST XMVECTORI32 g_XMMaskDec4 = {0x3FF,0x3FF<<10,0x3FF<<20,0x3<<30}; +XMGLOBALCONST XMVECTORI32 g_XMXorDec4 = {0x200,0x200<<10,0x200<<20,0}; +XMGLOBALCONST XMVECTORF32 g_XMAddUDec4 = {0,0,0,32768.0f*65536.0f}; +XMGLOBALCONST XMVECTORF32 g_XMAddDec4 = {-512.0f,-512.0f*1024.0f,-512.0f*1024.0f*1024.0f,0}; +XMGLOBALCONST XMVECTORF32 g_XMMulDec4 = {1.0f,1.0f/1024.0f,1.0f/(1024.0f*1024.0f),1.0f/(1024.0f*1024.0f*1024.0f)}; +XMGLOBALCONST XMVECTORI32 g_XMMaskByte4 = {0xFF,0xFF00,0xFF0000,0xFF000000}; +XMGLOBALCONST XMVECTORI32 g_XMXorByte4 = {0x80,0x8000,0x800000,0x00000000}; +XMGLOBALCONST XMVECTORF32 g_XMAddByte4 = {-128.0f,-128.0f*256.0f,-128.0f*65536.0f,0}; +XMGLOBALCONST XMVECTORF32 g_XMFixUnsigned = {32768.0f*65536.0f,32768.0f*65536.0f,32768.0f*65536.0f,32768.0f*65536.0f}; +XMGLOBALCONST XMVECTORF32 g_XMMaxInt = {65536.0f*32768.0f-128.0f,65536.0f*32768.0f-128.0f,65536.0f*32768.0f-128.0f,65536.0f*32768.0f-128.0f}; +XMGLOBALCONST XMVECTORF32 g_XMMaxUInt = {65536.0f*65536.0f-256.0f,65536.0f*65536.0f-256.0f,65536.0f*65536.0f-256.0f,65536.0f*65536.0f-256.0f}; +XMGLOBALCONST XMVECTORF32 g_XMUnsignedFix = {32768.0f*65536.0f,32768.0f*65536.0f,32768.0f*65536.0f,32768.0f*65536.0f}; +XMGLOBALCONST XMVECTORF32 g_XMsrgbScale = { 12.92f, 12.92f, 12.92f, 1.0f }; +XMGLOBALCONST XMVECTORF32 g_XMsrgbA = { 0.055f, 0.055f, 0.055f, 0.0f }; +XMGLOBALCONST XMVECTORF32 g_XMsrgbA1 = { 1.055f, 1.055f, 1.055f, 1.0f }; + +/**************************************************************************** + * + * Implementation + * + ****************************************************************************/ + +#pragma warning(push) +#pragma warning(disable:4068 4214 4204 4365 4616 4640 6001) + +#pragma prefast(push) +#pragma prefast(disable : 25000, "FXMVECTOR is 16 bytes") + +//------------------------------------------------------------------------------ + +#if defined(_XM_NO_INTRINSICS_) || defined(_XM_SSE_INTRINSICS_) || defined(_XM_ARM_NEON_INTRINSICS_) + +inline XMVECTOR XMVectorSetBinaryConstant(uint32_t C0, uint32_t C1, uint32_t C2, uint32_t C3) +{ +#if defined(_XM_NO_INTRINSICS_) + XMVECTORU32 vResult; + vResult.u[0] = (0-(C0&1)) & 0x3F800000; + vResult.u[1] = (0-(C1&1)) & 0x3F800000; + vResult.u[2] = (0-(C2&1)) & 0x3F800000; + vResult.u[3] = (0-(C3&1)) & 0x3F800000; + return vResult.v; +#elif defined(_XM_ARM_NEON_INTRINSICS_) + XMVECTORU32 vResult; + vResult.u[0] = (0-(C0&1)) & 0x3F800000; + vResult.u[1] = (0-(C1&1)) & 0x3F800000; + vResult.u[2] = (0-(C2&1)) & 0x3F800000; + vResult.u[3] = (0-(C3&1)) & 0x3F800000; + return vResult.v; +#else // XM_SSE_INTRINSICS_ + static const XMVECTORU32 g_vMask1 = {1,1,1,1}; + // Move the parms to a vector + __m128i vTemp = _mm_set_epi32(C3,C2,C1,C0); + // Mask off the low bits + vTemp = _mm_and_si128(vTemp,g_vMask1); + // 0xFFFFFFFF on true bits + vTemp = _mm_cmpeq_epi32(vTemp,g_vMask1); + // 0xFFFFFFFF -> 1.0f, 0x00000000 -> 0.0f + vTemp = _mm_and_si128(vTemp,g_XMOne); + return _mm_castsi128_ps(vTemp); +#endif +} + +//------------------------------------------------------------------------------ + +inline XMVECTOR XMVectorSplatConstant(int32_t IntConstant, uint32_t DivExponent) +{ + assert( IntConstant >= -16 && IntConstant <= 15 ); + assert( DivExponent < 32 ); +#if defined(_XM_NO_INTRINSICS_) + + using DirectX::XMConvertVectorIntToFloat; + + XMVECTORI32 V = { IntConstant, IntConstant, IntConstant, IntConstant }; + return XMConvertVectorIntToFloat( V.v, DivExponent); + +#elif defined(_XM_ARM_NEON_INTRINSICS_) + // Splat the int + int32x4_t vScale = vdupq_n_s32(IntConstant); + // Convert to a float + XMVECTOR vResult = vcvtq_f32_s32(vScale); + // Convert DivExponent into 1.0f/(1<<DivExponent) + uint32_t uScale = 0x3F800000U - (DivExponent << 23); + // Splat the scalar value (It's really a float) + vScale = vdupq_n_s32(uScale); + // Multiply by the reciprocal (Perform a right shift by DivExponent) + vResult = vmulq_f32(vResult,reinterpret_cast<const float32x4_t *>(&vScale)[0]); + return vResult; +#else // XM_SSE_INTRINSICS_ + // Splat the int + __m128i vScale = _mm_set1_epi32(IntConstant); + // Convert to a float + XMVECTOR vResult = _mm_cvtepi32_ps(vScale); + // Convert DivExponent into 1.0f/(1<<DivExponent) + uint32_t uScale = 0x3F800000U - (DivExponent << 23); + // Splat the scalar value (It's really a float) + vScale = _mm_set1_epi32(uScale); + // Multiply by the reciprocal (Perform a right shift by DivExponent) + vResult = _mm_mul_ps(vResult,_mm_castsi128_ps(vScale)); + return vResult; +#endif +} + +//------------------------------------------------------------------------------ + +inline XMVECTOR XMVectorSplatConstantInt(int32_t IntConstant) +{ + assert( IntConstant >= -16 && IntConstant <= 15 ); +#if defined(_XM_NO_INTRINSICS_) + + XMVECTORI32 V = { IntConstant, IntConstant, IntConstant, IntConstant }; + return V.v; + +#elif defined(_XM_ARM_NEON_INTRINSICS_) + int32x4_t V = vdupq_n_s32( IntConstant ); + return reinterpret_cast<float32x4_t *>(&V)[0]; +#else // XM_SSE_INTRINSICS_ + __m128i V = _mm_set1_epi32( IntConstant ); + return reinterpret_cast<__m128 *>(&V)[0]; +#endif +} + +// Implemented for VMX128 intrinsics as #defines aboves +#endif // _XM_NO_INTRINSICS_ || _XM_SSE_INTRINSICS_ || _XM_ARM_NEON_INTRINSICS_ + +#include "DirectXMathConvert.inl" +#include "DirectXMathVector.inl" +#include "DirectXMathMatrix.inl" +#include "DirectXMathMisc.inl" + + +#pragma prefast(pop) +#pragma warning(pop) + +}; // namespace DirectX + |