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DirectXMath.h
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DirectXMath.h
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//-------------------------------------------------------------------------------------
// DirectXMath.h -- SIMD C++ Math library
//
// Copyright (c) Microsoft Corporation.
// Licensed under the MIT License.
//
// http://go.microsoft.com/fwlink/?LinkID=615560
//-------------------------------------------------------------------------------------
#pragma once
#ifndef __cplusplus
#error DirectX Math requires C++
#endif
#define DIRECTX_MATH_VERSION 319
#if defined(_MSC_VER) && (_MSC_VER < 1910)
#error DirectX Math requires Visual C++ 2017 or later.
#endif
#if defined(_MSC_VER) && !defined(_M_ARM) && !defined(_M_ARM64) && !defined(_M_HYBRID_X86_ARM64) && !defined(_M_ARM64EC) && (!_MANAGED) && (!_M_CEE) && (!defined(_M_IX86_FP) || (_M_IX86_FP > 1)) && !defined(_XM_NO_INTRINSICS_) && !defined(_XM_VECTORCALL_)
#define _XM_VECTORCALL_ 1
#endif
#if _XM_VECTORCALL_
#define XM_CALLCONV __vectorcall
#elif defined(__GNUC__)
#define XM_CALLCONV
#else
#define XM_CALLCONV __fastcall
#endif
#ifndef XM_DEPRECATED
#ifdef __GNUC__
#define XM_DEPRECATED __attribute__ ((deprecated))
#else
#define XM_DEPRECATED __declspec(deprecated("This is deprecated and will be removed in a future version."))
#endif
#endif
#if !defined(_XM_AVX2_INTRINSICS_) && defined(__AVX2__) && !defined(_XM_NO_INTRINSICS_)
#define _XM_AVX2_INTRINSICS_
#endif
#if !defined(_XM_FMA3_INTRINSICS_) && defined(_XM_AVX2_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_)
#define _XM_FMA3_INTRINSICS_
#endif
#if !defined(_XM_F16C_INTRINSICS_) && defined(_XM_AVX2_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_)
#define _XM_F16C_INTRINSICS_
#endif
#if !defined(_XM_F16C_INTRINSICS_) && defined(__F16C__) && !defined(_XM_NO_INTRINSICS_)
#define _XM_F16C_INTRINSICS_
#endif
#if defined(_XM_FMA3_INTRINSICS_) && !defined(_XM_AVX_INTRINSICS_)
#define _XM_AVX_INTRINSICS_
#endif
#if defined(_XM_F16C_INTRINSICS_) && !defined(_XM_AVX_INTRINSICS_)
#define _XM_AVX_INTRINSICS_
#endif
#if !defined(_XM_AVX_INTRINSICS_) && defined(__AVX__) && !defined(_XM_NO_INTRINSICS_)
#define _XM_AVX_INTRINSICS_
#endif
#if defined(_XM_AVX_INTRINSICS_) && !defined(_XM_SSE4_INTRINSICS_)
#define _XM_SSE4_INTRINSICS_
#endif
#if defined(_XM_SSE4_INTRINSICS_) && !defined(_XM_SSE3_INTRINSICS_)
#define _XM_SSE3_INTRINSICS_
#endif
#if defined(_XM_SSE3_INTRINSICS_) && !defined(_XM_SSE_INTRINSICS_)
#define _XM_SSE_INTRINSICS_
#endif
#if !defined(_XM_ARM_NEON_INTRINSICS_) && !defined(_XM_SSE_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_)
#if (defined(_M_IX86) || defined(_M_X64) || __i386__ || __x86_64__) && !defined(_M_HYBRID_X86_ARM64) && !defined(_M_ARM64EC)
#define _XM_SSE_INTRINSICS_
#elif defined(_M_ARM) || defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64) || defined(_M_ARM64EC) || __arm__ || __aarch64__
#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_NO_INTRINSICS_
#if defined(_XM_SSE_INTRINSICS_) && defined(_MSC_VER) && (_MSC_VER >= 1920) && !defined(__clang__) && !defined(_XM_SVML_INTRINSICS_) && !defined(_XM_DISABLE_INTEL_SVML_)
#define _XM_SVML_INTRINSICS_
#endif
#if !defined(_XM_NO_XMVECTOR_OVERLOADS_) && (defined(__clang__) || defined(__GNUC__)) && !defined(_XM_NO_INTRINSICS_)
#define _XM_NO_XMVECTOR_OVERLOADS_
#endif
#ifdef _MSC_VER
#pragma warning(push)
#pragma warning(disable:4514 4820)
// C4514/4820: Off by default noise
#endif
#include <math.h>
#include <float.h>
#ifdef _MSC_VER
#pragma warning(pop)
#endif
#ifndef _XM_NO_INTRINSICS_
#ifdef _MSC_VER
#pragma warning(push)
#pragma warning(disable : 4987)
// C4987: Off by default noise
#endif
#if defined(_MSC_VER) || defined(__MINGW32__)
#include <intrin.h>
#endif
#ifdef _MSC_VER
#pragma warning(pop)
#endif
#if (defined(__clang__) || defined(__GNUC__)) && (__x86_64__ || __i386__) && !defined(__MINGW32__)
#include <cpuid.h>
#endif
#ifdef _XM_SSE_INTRINSICS_
#include <xmmintrin.h>
#include <emmintrin.h>
#ifdef _XM_SSE3_INTRINSICS_
#include <pmmintrin.h>
#endif
#ifdef _XM_SSE4_INTRINSICS_
#include <smmintrin.h>
#endif
#ifdef _XM_AVX_INTRINSICS_
#include <immintrin.h>
#endif
#elif defined(_XM_ARM_NEON_INTRINSICS_)
#if defined(_MSC_VER) && !defined(__clang__) && (defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64) || defined(_M_ARM64EC))
#include <arm64_neon.h>
#else
#include <arm_neon.h>
#endif
#endif
#endif // !_XM_NO_INTRINSICS_
#include "sal.h"
#include <assert.h>
#ifdef _MSC_VER
#pragma warning(push)
#pragma warning(disable : 4005 4668)
// C4005/4668: Old header issue
#endif
#include <stdint.h>
#ifdef _MSC_VER
#pragma warning(pop)
#endif
#if __cplusplus >= 201703L
#define XM_ALIGNED_DATA(x) alignas(x)
#define XM_ALIGNED_STRUCT(x) struct alignas(x)
#elif defined(__GNUC__)
#define XM_ALIGNED_DATA(x) __attribute__ ((aligned(x)))
#define XM_ALIGNED_STRUCT(x) struct __attribute__ ((aligned(x)))
#else
#define XM_ALIGNED_DATA(x) __declspec(align(x))
#define XM_ALIGNED_STRUCT(x) __declspec(align(x)) struct
#endif
#if (__cplusplus >= 202002L)
#include <compare>
#endif
/****************************************************************************
*
* Conditional intrinsics
*
****************************************************************************/
#if defined(_XM_SSE_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_)
#if defined(_XM_NO_MOVNT_)
#define XM_STREAM_PS( p, a ) _mm_store_ps((p), (a))
#define XM256_STREAM_PS( p, a ) _mm256_store_ps((p), (a))
#define XM_SFENCE()
#else
#define XM_STREAM_PS( p, a ) _mm_stream_ps((p), (a))
#define XM256_STREAM_PS( p, a ) _mm256_stream_ps((p), (a))
#define XM_SFENCE() _mm_sfence()
#endif
#if defined(_XM_FMA3_INTRINSICS_)
#define XM_FMADD_PS( a, b, c ) _mm_fmadd_ps((a), (b), (c))
#define XM_FNMADD_PS( a, b, c ) _mm_fnmadd_ps((a), (b), (c))
#else
#define XM_FMADD_PS( a, b, c ) _mm_add_ps(_mm_mul_ps((a), (b)), (c))
#define XM_FNMADD_PS( a, b, c ) _mm_sub_ps((c), _mm_mul_ps((a), (b)))
#endif
#if defined(_XM_AVX_INTRINSICS_) && defined(_XM_FAVOR_INTEL_)
#define XM_PERMUTE_PS( v, c ) _mm_permute_ps((v), c )
#else
#define XM_PERMUTE_PS( v, c ) _mm_shuffle_ps((v), (v), c )
#endif
#if defined(__GNUC__) && !defined(__clang__) && (__GNUC__ < 11)
#define XM_LOADU_SI16( p ) _mm_cvtsi32_si128(*reinterpret_cast<unsigned short const*>(p))
#else
#define XM_LOADU_SI16( p ) _mm_loadu_si16(p)
#endif
#endif // _XM_SSE_INTRINSICS_ && !_XM_NO_INTRINSICS_
#if defined(_XM_ARM_NEON_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_)
#if defined(__clang__) || defined(__GNUC__)
#define XM_PREFETCH( a ) __builtin_prefetch(a)
#elif defined(_MSC_VER)
#define XM_PREFETCH( a ) __prefetch(a)
#else
#define XM_PREFETCH( a )
#endif
#endif // _XM_ARM_NEON_INTRINSICS_ && !_XM_NO_INTRINSICS_
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
constexpr float XM_PI = 3.141592654f;
constexpr float XM_2PI = 6.283185307f;
constexpr float XM_1DIVPI = 0.318309886f;
constexpr float XM_1DIV2PI = 0.159154943f;
constexpr float XM_PIDIV2 = 1.570796327f;
constexpr float XM_PIDIV4 = 0.785398163f;
constexpr uint32_t XM_SELECT_0 = 0x00000000;
constexpr uint32_t XM_SELECT_1 = 0xFFFFFFFF;
constexpr uint32_t XM_PERMUTE_0X = 0;
constexpr uint32_t XM_PERMUTE_0Y = 1;
constexpr uint32_t XM_PERMUTE_0Z = 2;
constexpr uint32_t XM_PERMUTE_0W = 3;
constexpr uint32_t XM_PERMUTE_1X = 4;
constexpr uint32_t XM_PERMUTE_1Y = 5;
constexpr uint32_t XM_PERMUTE_1Z = 6;
constexpr uint32_t XM_PERMUTE_1W = 7;
constexpr uint32_t XM_SWIZZLE_X = 0;
constexpr uint32_t XM_SWIZZLE_Y = 1;
constexpr uint32_t XM_SWIZZLE_Z = 2;
constexpr uint32_t XM_SWIZZLE_W = 3;
constexpr uint32_t XM_CRMASK_CR6 = 0x000000F0;
constexpr uint32_t XM_CRMASK_CR6TRUE = 0x00000080;
constexpr uint32_t XM_CRMASK_CR6FALSE = 0x00000020;
constexpr uint32_t XM_CRMASK_CR6BOUNDS = XM_CRMASK_CR6FALSE;
#if defined(_M_ARM) || defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64) || defined(_M_ARM64EC) || __arm__ || __aarch64__
constexpr size_t XM_CACHE_LINE_SIZE = 128;
#else
constexpr size_t XM_CACHE_LINE_SIZE = 64;
#endif
/****************************************************************************
*
* Macros
*
****************************************************************************/
#if defined(__XNAMATH_H__) && defined(XMComparisonAllTrue)
#undef XMComparisonAllTrue
#undef XMComparisonAnyTrue
#undef XMComparisonAllFalse
#undef XMComparisonAnyFalse
#undef XMComparisonMixed
#undef XMComparisonAllInBounds
#undef XMComparisonAnyOutOfBounds
#endif
// Unit conversion
constexpr float XMConvertToRadians(float fDegrees) noexcept { return fDegrees * (XM_PI / 180.0f); }
constexpr float XMConvertToDegrees(float fRadians) noexcept { return fRadians * (180.0f / XM_PI); }
// Condition register evaluation proceeding a recording (R) comparison
constexpr bool XMComparisonAllTrue(uint32_t CR) noexcept { return (CR & XM_CRMASK_CR6TRUE) == XM_CRMASK_CR6TRUE; }
constexpr bool XMComparisonAnyTrue(uint32_t CR) noexcept { return (CR & XM_CRMASK_CR6FALSE) != XM_CRMASK_CR6FALSE; }
constexpr bool XMComparisonAllFalse(uint32_t CR) noexcept { return (CR & XM_CRMASK_CR6FALSE) == XM_CRMASK_CR6FALSE; }
constexpr bool XMComparisonAnyFalse(uint32_t CR) noexcept { return (CR & XM_CRMASK_CR6TRUE) != XM_CRMASK_CR6TRUE; }
constexpr bool XMComparisonMixed(uint32_t CR) noexcept { return (CR & XM_CRMASK_CR6) == 0; }
constexpr bool XMComparisonAllInBounds(uint32_t CR) noexcept { return (CR & XM_CRMASK_CR6BOUNDS) == XM_CRMASK_CR6BOUNDS; }
constexpr bool XMComparisonAnyOutOfBounds(uint32_t CR) noexcept { return (CR & XM_CRMASK_CR6BOUNDS) != XM_CRMASK_CR6BOUNDS; }
/****************************************************************************
*
* Data types
*
****************************************************************************/
#ifdef _MSC_VER
#pragma warning(push)
#pragma warning(disable:4068 4201 4365 4324 4820)
// C4068: ignore unknown pragmas
// C4201: nonstandard extension used : nameless struct/union
// C4365: Off by default noise
// C4324/4820: padding warnings
#endif
#ifdef _PREFAST_
#pragma prefast(push)
#pragma prefast(disable : 25000, "FXMVECTOR is 16 bytes")
#endif
//------------------------------------------------------------------------------
#if defined(_XM_NO_INTRINSICS_)
struct __vector4
{
union
{
float vector4_f32[4];
uint32_t vector4_u32[4];
};
};
#endif // _XM_NO_INTRINSICS_
//------------------------------------------------------------------------------
// 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_)
using XMVECTOR = __m128;
#elif defined(_XM_ARM_NEON_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_)
using XMVECTOR = float32x4_t;
#else
using XMVECTOR = __vector4;
#endif
// Fix-up for (1st-3rd) XMVECTOR parameters that are pass-in-register for x86, ARM, ARM64, and vector call; by reference otherwise
#if ( defined(_M_IX86) || defined(_M_ARM) || defined(_M_ARM64) || _XM_VECTORCALL_ || __i386__ || __arm__ || __aarch64__ ) && !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, ARM64, and vector call; by reference otherwise
#if ( defined(_M_ARM) || defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64) || defined(_M_ARM64EC) || _XM_VECTORCALL_ || __arm__ || __aarch64__ ) && !defined(_XM_NO_INTRINSICS_)
typedef const XMVECTOR GXMVECTOR;
#else
typedef const XMVECTOR& GXMVECTOR;
#endif
// Fix-up for (5th & 6th) XMVECTOR parameter to pass in-register for ARM64 and vector call; by reference otherwise
#if ( defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64) || defined(_M_ARM64EC) || _XM_VECTORCALL_ || __aarch64__ ) && !defined(_XM_NO_INTRINSICS_)
typedef const XMVECTOR HXMVECTOR;
#else
typedef const XMVECTOR& HXMVECTOR;
#endif
// Fix-up for (7th+) XMVECTOR parameters to pass by reference
typedef const XMVECTOR& CXMVECTOR;
//------------------------------------------------------------------------------
// Conversion types for constants
XM_ALIGNED_STRUCT(16) XMVECTORF32
{
union
{
float f[4];
XMVECTOR v;
};
inline operator XMVECTOR() const noexcept { return v; }
inline operator const float* () const noexcept { return f; }
#ifdef _XM_NO_INTRINSICS_
#elif defined(_XM_SSE_INTRINSICS_)
inline operator __m128i() const noexcept { return _mm_castps_si128(v); }
inline operator __m128d() const noexcept { return _mm_castps_pd(v); }
#elif defined(_XM_ARM_NEON_INTRINSICS_) && (defined(__GNUC__) || defined(_ARM64_DISTINCT_NEON_TYPES))
inline operator int32x4_t() const noexcept { return vreinterpretq_s32_f32(v); }
inline operator uint32x4_t() const noexcept { return vreinterpretq_u32_f32(v); }
#endif
};
XM_ALIGNED_STRUCT(16) XMVECTORI32
{
union
{
int32_t i[4];
XMVECTOR v;
};
inline operator XMVECTOR() const noexcept { return v; }
#ifdef _XM_NO_INTRINSICS_
#elif defined(_XM_SSE_INTRINSICS_)
inline operator __m128i() const noexcept { return _mm_castps_si128(v); }
inline operator __m128d() const noexcept { return _mm_castps_pd(v); }
#elif defined(_XM_ARM_NEON_INTRINSICS_) && (defined(__GNUC__) || defined(_ARM64_DISTINCT_NEON_TYPES))
inline operator int32x4_t() const noexcept { return vreinterpretq_s32_f32(v); }
inline operator uint32x4_t() const noexcept { return vreinterpretq_u32_f32(v); }
#endif
};
XM_ALIGNED_STRUCT(16) XMVECTORU8
{
union
{
uint8_t u[16];
XMVECTOR v;
};
inline operator XMVECTOR() const noexcept { return v; }
#ifdef _XM_NO_INTRINSICS_
#elif defined(_XM_SSE_INTRINSICS_)
inline operator __m128i() const noexcept { return _mm_castps_si128(v); }
inline operator __m128d() const noexcept { return _mm_castps_pd(v); }
#elif defined(_XM_ARM_NEON_INTRINSICS_) && (defined(__GNUC__) || defined(_ARM64_DISTINCT_NEON_TYPES))
inline operator int32x4_t() const noexcept { return vreinterpretq_s32_f32(v); }
inline operator uint32x4_t() const noexcept { return vreinterpretq_u32_f32(v); }
#endif
};
XM_ALIGNED_STRUCT(16) XMVECTORU32
{
union
{
uint32_t u[4];
XMVECTOR v;
};
inline operator XMVECTOR() const noexcept { return v; }
#ifdef _XM_NO_INTRINSICS_
#elif defined(_XM_SSE_INTRINSICS_)
inline operator __m128i() const noexcept { return _mm_castps_si128(v); }
inline operator __m128d() const noexcept { return _mm_castps_pd(v); }
#elif defined(_XM_ARM_NEON_INTRINSICS_) && (defined(__GNUC__) || defined(_ARM64_DISTINCT_NEON_TYPES))
inline operator int32x4_t() const noexcept { return vreinterpretq_s32_f32(v); }
inline operator uint32x4_t() const noexcept { return vreinterpretq_u32_f32(v); }
#endif
};
//------------------------------------------------------------------------------
// Vector operators
#ifndef _XM_NO_XMVECTOR_OVERLOADS_
XMVECTOR XM_CALLCONV operator+ (FXMVECTOR V) noexcept;
XMVECTOR XM_CALLCONV operator- (FXMVECTOR V) noexcept;
XMVECTOR& XM_CALLCONV operator+= (XMVECTOR& V1, FXMVECTOR V2) noexcept;
XMVECTOR& XM_CALLCONV operator-= (XMVECTOR& V1, FXMVECTOR V2) noexcept;
XMVECTOR& XM_CALLCONV operator*= (XMVECTOR& V1, FXMVECTOR V2) noexcept;
XMVECTOR& XM_CALLCONV operator/= (XMVECTOR& V1, FXMVECTOR V2) noexcept;
XMVECTOR& operator*= (XMVECTOR& V, float S) noexcept;
XMVECTOR& operator/= (XMVECTOR& V, float S) noexcept;
XMVECTOR XM_CALLCONV operator+ (FXMVECTOR V1, FXMVECTOR V2) noexcept;
XMVECTOR XM_CALLCONV operator- (FXMVECTOR V1, FXMVECTOR V2) noexcept;
XMVECTOR XM_CALLCONV operator* (FXMVECTOR V1, FXMVECTOR V2) noexcept;
XMVECTOR XM_CALLCONV operator/ (FXMVECTOR V1, FXMVECTOR V2) noexcept;
XMVECTOR XM_CALLCONV operator* (FXMVECTOR V, float S) noexcept;
XMVECTOR XM_CALLCONV operator* (float S, FXMVECTOR V) noexcept;
XMVECTOR XM_CALLCONV operator/ (FXMVECTOR V, float S) noexcept;
#endif /* !_XM_NO_XMVECTOR_OVERLOADS_ */
//------------------------------------------------------------------------------
// 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 (1st) XMMATRIX parameter to pass in-register for ARM64 and vector call; by reference otherwise
#if ( defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64) || defined(_M_ARM64EC) || _XM_VECTORCALL_ || __aarch64__ ) && !defined(_XM_NO_INTRINSICS_)
typedef const XMMATRIX FXMMATRIX;
#else
typedef const XMMATRIX& FXMMATRIX;
#endif
// Fix-up for (2nd+) XMMATRIX parameters to pass by reference
typedef const XMMATRIX& CXMMATRIX;
#ifdef _XM_NO_INTRINSICS_
struct XMMATRIX
#else
XM_ALIGNED_STRUCT(16) 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() = default;
XMMATRIX(const XMMATRIX&) = default;
#if defined(_MSC_VER) && (_MSC_FULL_VER < 191426431)
XMMATRIX& operator= (const XMMATRIX& M) noexcept { r[0] = M.r[0]; r[1] = M.r[1]; r[2] = M.r[2]; r[3] = M.r[3]; return *this; }
#else
XMMATRIX& operator=(const XMMATRIX&) = default;
XMMATRIX(XMMATRIX&&) = default;
XMMATRIX& operator=(XMMATRIX&&) = default;
#endif
constexpr XMMATRIX(FXMVECTOR R0, FXMVECTOR R1, FXMVECTOR R2, CXMVECTOR R3) noexcept : r{ R0,R1,R2,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) noexcept;
explicit XMMATRIX(_In_reads_(16) const float* pArray) noexcept;
#ifdef _XM_NO_INTRINSICS_
float operator() (size_t Row, size_t Column) const noexcept { return m[Row][Column]; }
float& operator() (size_t Row, size_t Column) noexcept { return m[Row][Column]; }
#endif
XMMATRIX operator+ () const noexcept { return *this; }
XMMATRIX operator- () const noexcept;
XMMATRIX& XM_CALLCONV operator+= (FXMMATRIX M) noexcept;
XMMATRIX& XM_CALLCONV operator-= (FXMMATRIX M) noexcept;
XMMATRIX& XM_CALLCONV operator*= (FXMMATRIX M) noexcept;
XMMATRIX& operator*= (float S) noexcept;
XMMATRIX& operator/= (float S) noexcept;
XMMATRIX XM_CALLCONV operator+ (FXMMATRIX M) const noexcept;
XMMATRIX XM_CALLCONV operator- (FXMMATRIX M) const noexcept;
XMMATRIX XM_CALLCONV operator* (FXMMATRIX M) const noexcept;
XMMATRIX operator* (float S) const noexcept;
XMMATRIX operator/ (float S) const noexcept;
friend XMMATRIX XM_CALLCONV operator* (float S, FXMMATRIX M) noexcept;
};
//------------------------------------------------------------------------------
// 2D Vector; 32 bit floating point components
struct XMFLOAT2
{
float x;
float y;
XMFLOAT2() = default;
XMFLOAT2(const XMFLOAT2&) = default;
XMFLOAT2& operator=(const XMFLOAT2&) = default;
XMFLOAT2(XMFLOAT2&&) = default;
XMFLOAT2& operator=(XMFLOAT2&&) = default;
constexpr XMFLOAT2(float _x, float _y) noexcept : x(_x), y(_y) {}
explicit XMFLOAT2(_In_reads_(2) const float* pArray) noexcept : x(pArray[0]), y(pArray[1]) {}
#if (__cplusplus >= 202002L)
bool operator == (const XMFLOAT2&) const = default;
auto operator <=> (const XMFLOAT2&) const = default;
#endif
};
// 2D Vector; 32 bit floating point components aligned on a 16 byte boundary
XM_ALIGNED_STRUCT(16) XMFLOAT2A : public XMFLOAT2
{
using XMFLOAT2::XMFLOAT2;
};
//------------------------------------------------------------------------------
// 2D Vector; 32 bit signed integer components
struct XMINT2
{
int32_t x;
int32_t y;
XMINT2() = default;
XMINT2(const XMINT2&) = default;
XMINT2& operator=(const XMINT2&) = default;
XMINT2(XMINT2&&) = default;
XMINT2& operator=(XMINT2&&) = default;
constexpr XMINT2(int32_t _x, int32_t _y) noexcept : x(_x), y(_y) {}
explicit XMINT2(_In_reads_(2) const int32_t* pArray) noexcept : x(pArray[0]), y(pArray[1]) {}
#if (__cplusplus >= 202002L)
bool operator == (const XMINT2&) const = default;
auto operator <=> (const XMINT2&) const = default;
#endif
};
// 2D Vector; 32 bit unsigned integer components
struct XMUINT2
{
uint32_t x;
uint32_t y;
XMUINT2() = default;
XMUINT2(const XMUINT2&) = default;
XMUINT2& operator=(const XMUINT2&) = default;
XMUINT2(XMUINT2&&) = default;
XMUINT2& operator=(XMUINT2&&) = default;
constexpr XMUINT2(uint32_t _x, uint32_t _y) noexcept : x(_x), y(_y) {}
explicit XMUINT2(_In_reads_(2) const uint32_t* pArray) noexcept : x(pArray[0]), y(pArray[1]) {}
#if (__cplusplus >= 202002L)
bool operator == (const XMUINT2&) const = default;
auto operator <=> (const XMUINT2&) const = default;
#endif
};
//------------------------------------------------------------------------------
// 3D Vector; 32 bit floating point components
struct XMFLOAT3
{
float x;
float y;
float z;
XMFLOAT3() = default;
XMFLOAT3(const XMFLOAT3&) = default;
XMFLOAT3& operator=(const XMFLOAT3&) = default;
XMFLOAT3(XMFLOAT3&&) = default;
XMFLOAT3& operator=(XMFLOAT3&&) = default;
constexpr XMFLOAT3(float _x, float _y, float _z) noexcept : x(_x), y(_y), z(_z) {}
explicit XMFLOAT3(_In_reads_(3) const float* pArray) noexcept : x(pArray[0]), y(pArray[1]), z(pArray[2]) {}
};
// 3D Vector; 32 bit floating point components aligned on a 16 byte boundary
XM_ALIGNED_STRUCT(16) XMFLOAT3A : public XMFLOAT3
{
using XMFLOAT3::XMFLOAT3;
};
//------------------------------------------------------------------------------
// 3D Vector; 32 bit signed integer components
struct XMINT3
{
int32_t x;
int32_t y;
int32_t z;
XMINT3() = default;
XMINT3(const XMINT3&) = default;
XMINT3& operator=(const XMINT3&) = default;
XMINT3(XMINT3&&) = default;
XMINT3& operator=(XMINT3&&) = default;
constexpr XMINT3(int32_t _x, int32_t _y, int32_t _z) noexcept : x(_x), y(_y), z(_z) {}
explicit XMINT3(_In_reads_(3) const int32_t* pArray) noexcept : x(pArray[0]), y(pArray[1]), z(pArray[2]) {}
#if (__cplusplus >= 202002L)
bool operator == (const XMINT3&) const = default;
auto operator <=> (const XMINT3&) const = default;
#endif
};
// 3D Vector; 32 bit unsigned integer components
struct XMUINT3
{
uint32_t x;
uint32_t y;
uint32_t z;
XMUINT3() = default;
XMUINT3(const XMUINT3&) = default;
XMUINT3& operator=(const XMUINT3&) = default;
XMUINT3(XMUINT3&&) = default;
XMUINT3& operator=(XMUINT3&&) = default;
constexpr XMUINT3(uint32_t _x, uint32_t _y, uint32_t _z) noexcept : x(_x), y(_y), z(_z) {}
explicit XMUINT3(_In_reads_(3) const uint32_t* pArray) noexcept : x(pArray[0]), y(pArray[1]), z(pArray[2]) {}
#if (__cplusplus >= 202002L)
bool operator == (const XMUINT3&) const = default;
auto operator <=> (const XMUINT3&) const = default;
#endif
};
//------------------------------------------------------------------------------
// 4D Vector; 32 bit floating point components
struct XMFLOAT4
{
float x;
float y;
float z;
float w;
XMFLOAT4() = default;
XMFLOAT4(const XMFLOAT4&) = default;
XMFLOAT4& operator=(const XMFLOAT4&) = default;
XMFLOAT4(XMFLOAT4&&) = default;
XMFLOAT4& operator=(XMFLOAT4&&) = default;
constexpr XMFLOAT4(float _x, float _y, float _z, float _w) noexcept : x(_x), y(_y), z(_z), w(_w) {}
explicit XMFLOAT4(_In_reads_(4) const float* pArray) noexcept : x(pArray[0]), y(pArray[1]), z(pArray[2]), w(pArray[3]) {}
#if (__cplusplus >= 202002L)
bool operator == (const XMFLOAT4&) const = default;
auto operator <=> (const XMFLOAT4&) const = default;
#endif
};
// 4D Vector; 32 bit floating point components aligned on a 16 byte boundary
XM_ALIGNED_STRUCT(16) XMFLOAT4A : public XMFLOAT4
{
using XMFLOAT4::XMFLOAT4;
};
//------------------------------------------------------------------------------
// 4D Vector; 32 bit signed integer components
struct XMINT4
{
int32_t x;
int32_t y;
int32_t z;
int32_t w;
XMINT4() = default;
XMINT4(const XMINT4&) = default;
XMINT4& operator=(const XMINT4&) = default;
XMINT4(XMINT4&&) = default;
XMINT4& operator=(XMINT4&&) = default;
constexpr XMINT4(int32_t _x, int32_t _y, int32_t _z, int32_t _w) noexcept : x(_x), y(_y), z(_z), w(_w) {}
explicit XMINT4(_In_reads_(4) const int32_t* pArray) noexcept : x(pArray[0]), y(pArray[1]), z(pArray[2]), w(pArray[3]) {}
#if (__cplusplus >= 202002L)
bool operator == (const XMINT4&) const = default;
auto operator <=> (const XMINT4&) const = default;
#endif
};
// 4D Vector; 32 bit unsigned integer components
struct XMUINT4
{
uint32_t x;
uint32_t y;
uint32_t z;
uint32_t w;
XMUINT4() = default;
XMUINT4(const XMUINT4&) = default;
XMUINT4& operator=(const XMUINT4&) = default;
XMUINT4(XMUINT4&&) = default;
XMUINT4& operator=(XMUINT4&&) = default;
constexpr XMUINT4(uint32_t _x, uint32_t _y, uint32_t _z, uint32_t _w) noexcept : x(_x), y(_y), z(_z), w(_w) {}
explicit XMUINT4(_In_reads_(4) const uint32_t* pArray) noexcept : x(pArray[0]), y(pArray[1]), z(pArray[2]), w(pArray[3]) {}
#if (__cplusplus >= 202002L)
bool operator == (const XMUINT4&) const = default;
auto operator <=> (const XMUINT4&) const = default;
#endif
};
#ifdef __clang__
#pragma clang diagnostic push
#pragma clang diagnostic ignored "-Wgnu-anonymous-struct"
#pragma clang diagnostic ignored "-Wnested-anon-types"
#pragma clang diagnostic ignored "-Wunknown-warning-option"
#pragma clang diagnostic ignored "-Wunsafe-buffer-usage"
#endif
//------------------------------------------------------------------------------
// 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() = default;
XMFLOAT3X3(const XMFLOAT3X3&) = default;
XMFLOAT3X3& operator=(const XMFLOAT3X3&) = default;
XMFLOAT3X3(XMFLOAT3X3&&) = default;
XMFLOAT3X3& operator=(XMFLOAT3X3&&) = default;
constexpr XMFLOAT3X3(float m00, float m01, float m02,
float m10, float m11, float m12,
float m20, float m21, float m22) noexcept
: _11(m00), _12(m01), _13(m02),
_21(m10), _22(m11), _23(m12),
_31(m20), _32(m21), _33(m22) {}
explicit XMFLOAT3X3(_In_reads_(9) const float* pArray) noexcept;
float operator() (size_t Row, size_t Column) const noexcept { return m[Row][Column]; }
float& operator() (size_t Row, size_t Column) noexcept { return m[Row][Column]; }
#if (__cplusplus >= 202002L)
bool operator == (const XMFLOAT3X3&) const = default;
auto operator <=> (const XMFLOAT3X3&) const = default;
#endif
};
//------------------------------------------------------------------------------
// 4x3 Row-major 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];
float f[12];
};
XMFLOAT4X3() = default;
XMFLOAT4X3(const XMFLOAT4X3&) = default;
XMFLOAT4X3& operator=(const XMFLOAT4X3&) = default;
XMFLOAT4X3(XMFLOAT4X3&&) = default;
XMFLOAT4X3& operator=(XMFLOAT4X3&&) = default;
constexpr 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) noexcept
: _11(m00), _12(m01), _13(m02),
_21(m10), _22(m11), _23(m12),
_31(m20), _32(m21), _33(m22),
_41(m30), _42(m31), _43(m32) {}
explicit XMFLOAT4X3(_In_reads_(12) const float* pArray) noexcept;
float operator() (size_t Row, size_t Column) const noexcept { return m[Row][Column]; }
float& operator() (size_t Row, size_t Column) noexcept { return m[Row][Column]; }
#if (__cplusplus >= 202002L)
bool operator == (const XMFLOAT4X3&) const = default;
auto operator <=> (const XMFLOAT4X3&) const = default;
#endif
};
// 4x3 Row-major Matrix: 32 bit floating point components aligned on a 16 byte boundary
XM_ALIGNED_STRUCT(16) XMFLOAT4X3A : public XMFLOAT4X3
{
using XMFLOAT4X3::XMFLOAT4X3;
};
//------------------------------------------------------------------------------
// 3x4 Column-major Matrix: 32 bit floating point components
struct XMFLOAT3X4
{
union
{
struct
{
float _11, _12, _13, _14;
float _21, _22, _23, _24;
float _31, _32, _33, _34;
};
float m[3][4];
float f[12];
};
XMFLOAT3X4() = default;
XMFLOAT3X4(const XMFLOAT3X4&) = default;
XMFLOAT3X4& operator=(const XMFLOAT3X4&) = default;
XMFLOAT3X4(XMFLOAT3X4&&) = default;
XMFLOAT3X4& operator=(XMFLOAT3X4&&) = default;
constexpr XMFLOAT3X4(float m00, float m01, float m02, float m03,
float m10, float m11, float m12, float m13,
float m20, float m21, float m22, float m23) noexcept
: _11(m00), _12(m01), _13(m02), _14(m03),
_21(m10), _22(m11), _23(m12), _24(m13),
_31(m20), _32(m21), _33(m22), _34(m23) {}
explicit XMFLOAT3X4(_In_reads_(12) const float* pArray) noexcept;
float operator() (size_t Row, size_t Column) const noexcept { return m[Row][Column]; }
float& operator() (size_t Row, size_t Column) noexcept { return m[Row][Column]; }
#if (__cplusplus >= 202002L)
bool operator == (const XMFLOAT3X4&) const = default;
auto operator <=> (const XMFLOAT3X4&) const = default;
#endif
};
// 3x4 Column-major Matrix: 32 bit floating point components aligned on a 16 byte boundary
XM_ALIGNED_STRUCT(16) XMFLOAT3X4A : public XMFLOAT3X4
{
using XMFLOAT3X4::XMFLOAT3X4;
};
//------------------------------------------------------------------------------
// 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() = default;
XMFLOAT4X4(const XMFLOAT4X4&) = default;
XMFLOAT4X4& operator=(const XMFLOAT4X4&) = default;
XMFLOAT4X4(XMFLOAT4X4&&) = default;
XMFLOAT4X4& operator=(XMFLOAT4X4&&) = default;
constexpr 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) noexcept
: _11(m00), _12(m01), _13(m02), _14(m03),
_21(m10), _22(m11), _23(m12), _24(m13),
_31(m20), _32(m21), _33(m22), _34(m23),
_41(m30), _42(m31), _43(m32), _44(m33) {}
explicit XMFLOAT4X4(_In_reads_(16) const float* pArray) noexcept;