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DirectXMath/Inc/DirectXMathVector.inl
Chuck Walbourn b710e917c6 Fixed up comment header block
2018-03-19 12:12:03 -07:00

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//-------------------------------------------------------------------------------------
// DirectXMathVector.inl -- SIMD C++ Math library
//
// Copyright (c) Microsoft Corporation. All rights reserved.
// Licensed under the MIT License.
//
// http://go.microsoft.com/fwlink/?LinkID=615560
//-------------------------------------------------------------------------------------
#pragma once
#if defined(_XM_NO_INTRINSICS_)
#define XMISNAN(x) ((*(const uint32_t*)&(x) & 0x7F800000) == 0x7F800000 && (*(const uint32_t*)&(x) & 0x7FFFFF) != 0)
#define XMISINF(x) ((*(const uint32_t*)&(x) & 0x7FFFFFFF) == 0x7F800000)
#endif
#if defined(_XM_SSE_INTRINSICS_)
#define XM3UNPACK3INTO4(l1,l2,l3) \
XMVECTOR V3 = _mm_shuffle_ps(l2,l3,_MM_SHUFFLE(0,0,3,2));\
XMVECTOR V2 = _mm_shuffle_ps(l2,l1,_MM_SHUFFLE(3,3,1,0));\
V2 = XM_PERMUTE_PS(V2,_MM_SHUFFLE(1,1,0,2));\
XMVECTOR V4 = _mm_castsi128_ps( _mm_srli_si128(_mm_castps_si128(L3),32/8) );
#define XM3PACK4INTO3(v2x) \
v2x = _mm_shuffle_ps(V2,V3,_MM_SHUFFLE(1,0,2,1));\
V2 = _mm_shuffle_ps(V2,V1,_MM_SHUFFLE(2,2,0,0));\
V1 = _mm_shuffle_ps(V1,V2,_MM_SHUFFLE(0,2,1,0));\
V3 = _mm_shuffle_ps(V3,V4,_MM_SHUFFLE(0,0,2,2));\
V3 = _mm_shuffle_ps(V3,V4,_MM_SHUFFLE(2,1,2,0));\
#endif
/****************************************************************************
*
* General Vector
*
****************************************************************************/
//------------------------------------------------------------------------------
// Assignment operations
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
// Return a vector with all elements equaling zero
inline XMVECTOR XM_CALLCONV XMVectorZero()
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 vResult = { { { 0.0f, 0.0f, 0.0f, 0.0f } } };
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_n_f32(0);
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_setzero_ps();
#endif
}
//------------------------------------------------------------------------------
// Initialize a vector with four floating point values
inline XMVECTOR XM_CALLCONV XMVectorSet
(
float x,
float y,
float z,
float w
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 vResult = { { { x, y, z, w } } };
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t V0 = vcreate_f32(((uint64_t)*(const uint32_t *)&x) | ((uint64_t)(*(const uint32_t *)&y) << 32));
float32x2_t V1 = vcreate_f32(((uint64_t)*(const uint32_t *)&z) | ((uint64_t)(*(const uint32_t *)&w) << 32));
return vcombine_f32(V0, V1);
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_set_ps( w, z, y, x );
#endif
}
//------------------------------------------------------------------------------
// Initialize a vector with four integer values
inline XMVECTOR XM_CALLCONV XMVectorSetInt
(
uint32_t x,
uint32_t y,
uint32_t z,
uint32_t w
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 vResult = { { { x, y, z, w } } };
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x2_t V0 = vcreate_u32(((uint64_t)x) | ((uint64_t)y << 32));
uint32x2_t V1 = vcreate_u32(((uint64_t)z) | ((uint64_t)w << 32));
return vcombine_u32(V0, V1);
#elif defined(_XM_SSE_INTRINSICS_)
__m128i V = _mm_set_epi32( w, z, y, x );
return _mm_castsi128_ps(V);
#endif
}
//------------------------------------------------------------------------------
// Initialize a vector with a replicated floating point value
inline XMVECTOR XM_CALLCONV XMVectorReplicate
(
float Value
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 vResult;
vResult.f[0] =
vResult.f[1] =
vResult.f[2] =
vResult.f[3] = Value;
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_n_f32( Value );
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_set_ps1( Value );
#endif
}
//------------------------------------------------------------------------------
// Initialize a vector with a replicated floating point value passed by pointer
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorReplicatePtr
(
const float *pValue
)
{
#if defined(_XM_NO_INTRINSICS_)
float Value = pValue[0];
XMVECTORF32 vResult;
vResult.f[0] =
vResult.f[1] =
vResult.f[2] =
vResult.f[3] = Value;
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vld1q_dup_f32( pValue );
#elif defined(_XM_AVX_INTRINSICS_)
return _mm_broadcast_ss( pValue );
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_load_ps1( pValue );
#endif
}
//------------------------------------------------------------------------------
// Initialize a vector with a replicated integer value
inline XMVECTOR XM_CALLCONV XMVectorReplicateInt
(
uint32_t Value
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 vResult;
vResult.u[0] =
vResult.u[1] =
vResult.u[2] =
vResult.u[3] = Value;
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_n_u32( Value );
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vTemp = _mm_set1_epi32( Value );
return _mm_castsi128_ps(vTemp);
#endif
}
//------------------------------------------------------------------------------
// Initialize a vector with a replicated integer value passed by pointer
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorReplicateIntPtr
(
const uint32_t *pValue
)
{
#if defined(_XM_NO_INTRINSICS_)
uint32_t Value = pValue[0];
XMVECTORU32 vResult;
vResult.u[0] =
vResult.u[1] =
vResult.u[2] =
vResult.u[3] = Value;
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vld1q_dup_u32(pValue);
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_load_ps1(reinterpret_cast<const float *>(pValue));
#endif
}
//------------------------------------------------------------------------------
// Initialize a vector with all bits set (true mask)
inline XMVECTOR XM_CALLCONV XMVectorTrueInt()
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 vResult = { { { 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU } } };
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_n_s32(-1);
#elif defined(_XM_SSE_INTRINSICS_)
__m128i V = _mm_set1_epi32(-1);
return _mm_castsi128_ps(V);
#endif
}
//------------------------------------------------------------------------------
// Initialize a vector with all bits clear (false mask)
inline XMVECTOR XM_CALLCONV XMVectorFalseInt()
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 vResult = { { { 0.0f, 0.0f, 0.0f, 0.0f } } };
return vResult;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_n_u32(0);
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_setzero_ps();
#endif
}
//------------------------------------------------------------------------------
// Replicate the x component of the vector
inline XMVECTOR XM_CALLCONV XMVectorSplatX
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 vResult;
vResult.f[0] =
vResult.f[1] =
vResult.f[2] =
vResult.f[3] = V.vector4_f32[0];
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_lane_f32( vget_low_f32( V ), 0 );
#elif defined(_XM_AVX2_INTRINSICS_)
return _mm_broadcastss_ps( V );
#elif defined(_XM_SSE_INTRINSICS_)
return XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
#endif
}
//------------------------------------------------------------------------------
// Replicate the y component of the vector
inline XMVECTOR XM_CALLCONV XMVectorSplatY
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 vResult;
vResult.f[0] =
vResult.f[1] =
vResult.f[2] =
vResult.f[3] = V.vector4_f32[1];
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_lane_f32( vget_low_f32( V ), 1 );
#elif defined(_XM_SSE_INTRINSICS_)
return XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
#endif
}
//------------------------------------------------------------------------------
// Replicate the z component of the vector
inline XMVECTOR XM_CALLCONV XMVectorSplatZ
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 vResult;
vResult.f[0] =
vResult.f[1] =
vResult.f[2] =
vResult.f[3] = V.vector4_f32[2];
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_lane_f32( vget_high_f32( V ), 0 );
#elif defined(_XM_SSE_INTRINSICS_)
return XM_PERMUTE_PS( V, _MM_SHUFFLE(2, 2, 2, 2) );
#endif
}
//------------------------------------------------------------------------------
// Replicate the w component of the vector
inline XMVECTOR XM_CALLCONV XMVectorSplatW
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 vResult;
vResult.f[0] =
vResult.f[1] =
vResult.f[2] =
vResult.f[3] = V.vector4_f32[3];
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_lane_f32( vget_high_f32( V ), 1 );
#elif defined(_XM_SSE_INTRINSICS_)
return XM_PERMUTE_PS( V, _MM_SHUFFLE(3, 3, 3, 3) );
#endif
}
//------------------------------------------------------------------------------
// Return a vector of 1.0f,1.0f,1.0f,1.0f
inline XMVECTOR XM_CALLCONV XMVectorSplatOne()
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 vResult;
vResult.f[0] =
vResult.f[1] =
vResult.f[2] =
vResult.f[3] = 1.0f;
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_n_f32(1.0f);
#elif defined(_XM_SSE_INTRINSICS_)
return g_XMOne;
#endif
}
//------------------------------------------------------------------------------
// Return a vector of INF,INF,INF,INF
inline XMVECTOR XM_CALLCONV XMVectorSplatInfinity()
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 vResult;
vResult.u[0] =
vResult.u[1] =
vResult.u[2] =
vResult.u[3] = 0x7F800000;
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_n_u32(0x7F800000);
#elif defined(_XM_SSE_INTRINSICS_)
return g_XMInfinity;
#endif
}
//------------------------------------------------------------------------------
// Return a vector of Q_NAN,Q_NAN,Q_NAN,Q_NAN
inline XMVECTOR XM_CALLCONV XMVectorSplatQNaN()
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 vResult;
vResult.u[0] =
vResult.u[1] =
vResult.u[2] =
vResult.u[3] = 0x7FC00000;
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_n_u32(0x7FC00000);
#elif defined(_XM_SSE_INTRINSICS_)
return g_XMQNaN;
#endif
}
//------------------------------------------------------------------------------
// Return a vector of 1.192092896e-7f,1.192092896e-7f,1.192092896e-7f,1.192092896e-7f
inline XMVECTOR XM_CALLCONV XMVectorSplatEpsilon()
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 vResult;
vResult.u[0] =
vResult.u[1] =
vResult.u[2] =
vResult.u[3] = 0x34000000;
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_n_u32(0x34000000);
#elif defined(_XM_SSE_INTRINSICS_)
return g_XMEpsilon;
#endif
}
//------------------------------------------------------------------------------
// Return a vector of -0.0f (0x80000000),-0.0f,-0.0f,-0.0f
inline XMVECTOR XM_CALLCONV XMVectorSplatSignMask()
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 vResult;
vResult.u[0] =
vResult.u[1] =
vResult.u[2] =
vResult.u[3] = 0x80000000U;
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vdupq_n_u32(0x80000000U);
#elif defined(_XM_SSE_INTRINSICS_)
__m128i V = _mm_set1_epi32( 0x80000000 );
return _mm_castsi128_ps(V);
#endif
}
//------------------------------------------------------------------------------
// Return a floating point value via an index. This is not a recommended
// function to use due to performance loss.
inline float XM_CALLCONV XMVectorGetByIndex(FXMVECTOR V, size_t i)
{
assert( i < 4 );
_Analysis_assume_( i < 4 );
#if defined(_XM_NO_INTRINSICS_)
return V.vector4_f32[i];
#else
XMVECTORF32 U;
U.v = V;
return U.f[i];
#endif
}
//------------------------------------------------------------------------------
// Return the X component in an FPU register.
inline float XM_CALLCONV XMVectorGetX(FXMVECTOR V)
{
#if defined(_XM_NO_INTRINSICS_)
return V.vector4_f32[0];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vgetq_lane_f32(V, 0);
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_cvtss_f32(V);
#endif
}
// Return the Y component in an FPU register.
inline float XM_CALLCONV XMVectorGetY(FXMVECTOR V)
{
#if defined(_XM_NO_INTRINSICS_)
return V.vector4_f32[1];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vgetq_lane_f32(V, 1);
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
return _mm_cvtss_f32(vTemp);
#endif
}
// Return the Z component in an FPU register.
inline float XM_CALLCONV XMVectorGetZ(FXMVECTOR V)
{
#if defined(_XM_NO_INTRINSICS_)
return V.vector4_f32[2];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vgetq_lane_f32(V, 2);
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = XM_PERMUTE_PS(V,_MM_SHUFFLE(2,2,2,2));
return _mm_cvtss_f32(vTemp);
#endif
}
// Return the W component in an FPU register.
inline float XM_CALLCONV XMVectorGetW(FXMVECTOR V)
{
#if defined(_XM_NO_INTRINSICS_)
return V.vector4_f32[3];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vgetq_lane_f32(V, 3);
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,3,3,3));
return _mm_cvtss_f32(vTemp);
#endif
}
//------------------------------------------------------------------------------
// Store a component indexed by i into a 32 bit float location in memory.
_Use_decl_annotations_
inline void XM_CALLCONV XMVectorGetByIndexPtr(float *f, FXMVECTOR V, size_t i)
{
assert( f != nullptr );
assert( i < 4 );
_Analysis_assume_( i < 4 );
#if defined(_XM_NO_INTRINSICS_)
*f = V.vector4_f32[i];
#else
XMVECTORF32 U;
U.v = V;
*f = U.f[i];
#endif
}
//------------------------------------------------------------------------------
// Store the X component into a 32 bit float location in memory.
_Use_decl_annotations_
inline void XM_CALLCONV XMVectorGetXPtr(float *x, FXMVECTOR V)
{
assert( x != nullptr);
#if defined(_XM_NO_INTRINSICS_)
*x = V.vector4_f32[0];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
vst1q_lane_f32(x,V,0);
#elif defined(_XM_SSE_INTRINSICS_)
_mm_store_ss(x,V);
#endif
}
// Store the Y component into a 32 bit float location in memory.
_Use_decl_annotations_
inline void XM_CALLCONV XMVectorGetYPtr(float *y, FXMVECTOR V)
{
assert( y != nullptr );
#if defined(_XM_NO_INTRINSICS_)
*y = V.vector4_f32[1];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
vst1q_lane_f32(y,V,1);
#elif defined(_XM_SSE4_INTRINSICS_)
*((int*)y) = _mm_extract_ps( V, 1 );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
_mm_store_ss(y,vResult);
#endif
}
// Store the Z component into a 32 bit float location in memory.
_Use_decl_annotations_
inline void XM_CALLCONV XMVectorGetZPtr(float *z, FXMVECTOR V)
{
assert( z != nullptr );
#if defined(_XM_NO_INTRINSICS_)
*z = V.vector4_f32[2];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
vst1q_lane_f32(z,V,2);
#elif defined(_XM_SSE4_INTRINSICS_)
*((int*)z) = _mm_extract_ps( V, 2 );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(2,2,2,2));
_mm_store_ss(z,vResult);
#endif
}
// Store the W component into a 32 bit float location in memory.
_Use_decl_annotations_
inline void XM_CALLCONV XMVectorGetWPtr(float *w, FXMVECTOR V)
{
assert( w != nullptr );
#if defined(_XM_NO_INTRINSICS_)
*w = V.vector4_f32[3];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
vst1q_lane_f32(w,V,3);
#elif defined(_XM_SSE4_INTRINSICS_)
*((int*)w) = _mm_extract_ps( V, 3 );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,3,3,3));
_mm_store_ss(w,vResult);
#endif
}
//------------------------------------------------------------------------------
// Return an integer value via an index. This is not a recommended
// function to use due to performance loss.
inline uint32_t XM_CALLCONV XMVectorGetIntByIndex(FXMVECTOR V, size_t i)
{
assert( i < 4 );
_Analysis_assume_( i < 4 );
#if defined(_XM_NO_INTRINSICS_)
return V.vector4_u32[i];
#else
XMVECTORU32 U;
U.v = V;
return U.u[i];
#endif
}
//------------------------------------------------------------------------------
// Return the X component in an integer register.
inline uint32_t XM_CALLCONV XMVectorGetIntX(FXMVECTOR V)
{
#if defined(_XM_NO_INTRINSICS_)
return V.vector4_u32[0];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vgetq_lane_u32(V, 0);
#elif defined(_XM_SSE_INTRINSICS_)
return static_cast<uint32_t>(_mm_cvtsi128_si32(_mm_castps_si128(V)));
#endif
}
// Return the Y component in an integer register.
inline uint32_t XM_CALLCONV XMVectorGetIntY(FXMVECTOR V)
{
#if defined(_XM_NO_INTRINSICS_)
return V.vector4_u32[1];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vgetq_lane_u32(V, 1);
#elif defined(_XM_SSE4_INTRINSICS_)
__m128i V1 = _mm_castps_si128( V );
return static_cast<uint32_t>( _mm_extract_epi32( V1, 1 ) );
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vResulti = _mm_shuffle_epi32(_mm_castps_si128(V),_MM_SHUFFLE(1,1,1,1));
return static_cast<uint32_t>(_mm_cvtsi128_si32(vResulti));
#endif
}
// Return the Z component in an integer register.
inline uint32_t XM_CALLCONV XMVectorGetIntZ(FXMVECTOR V)
{
#if defined(_XM_NO_INTRINSICS_)
return V.vector4_u32[2];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vgetq_lane_u32(V, 2);
#elif defined(_XM_SSE4_INTRINSICS_)
__m128i V1 = _mm_castps_si128( V );
return static_cast<uint32_t>( _mm_extract_epi32( V1, 2 ) );
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vResulti = _mm_shuffle_epi32(_mm_castps_si128(V),_MM_SHUFFLE(2,2,2,2));
return static_cast<uint32_t>(_mm_cvtsi128_si32(vResulti));
#endif
}
// Return the W component in an integer register.
inline uint32_t XM_CALLCONV XMVectorGetIntW(FXMVECTOR V)
{
#if defined(_XM_NO_INTRINSICS_)
return V.vector4_u32[3];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vgetq_lane_u32(V, 3);
#elif defined(_XM_SSE4_INTRINSICS_)
__m128i V1 = _mm_castps_si128( V );
return static_cast<uint32_t>( _mm_extract_epi32( V1, 3 ) );
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vResulti = _mm_shuffle_epi32(_mm_castps_si128(V),_MM_SHUFFLE(3,3,3,3));
return static_cast<uint32_t>(_mm_cvtsi128_si32(vResulti));
#endif
}
//------------------------------------------------------------------------------
// Store a component indexed by i into a 32 bit integer location in memory.
_Use_decl_annotations_
inline void XM_CALLCONV XMVectorGetIntByIndexPtr(uint32_t *x, FXMVECTOR V, size_t i)
{
assert( x != nullptr );
assert( i < 4 );
_Analysis_assume_( i < 4 );
#if defined(_XM_NO_INTRINSICS_)
*x = V.vector4_u32[i];
#else
XMVECTORU32 U;
U.v = V;
*x = U.u[i];
#endif
}
//------------------------------------------------------------------------------
// Store the X component into a 32 bit integer location in memory.
_Use_decl_annotations_
inline void XM_CALLCONV XMVectorGetIntXPtr(uint32_t *x, FXMVECTOR V)
{
assert( x != nullptr );
#if defined(_XM_NO_INTRINSICS_)
*x = V.vector4_u32[0];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
vst1q_lane_u32(x,*reinterpret_cast<const uint32x4_t*>(&V),0);
#elif defined(_XM_SSE_INTRINSICS_)
_mm_store_ss(reinterpret_cast<float *>(x),V);
#endif
}
// Store the Y component into a 32 bit integer location in memory.
_Use_decl_annotations_
inline void XM_CALLCONV XMVectorGetIntYPtr(uint32_t *y, FXMVECTOR V)
{
assert( y != nullptr );
#if defined(_XM_NO_INTRINSICS_)
*y = V.vector4_u32[1];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
vst1q_lane_u32(y,*reinterpret_cast<const uint32x4_t*>(&V),1);
#elif defined(_XM_SSE4_INTRINSICS_)
__m128i V1 = _mm_castps_si128( V );
*y = static_cast<uint32_t>( _mm_extract_epi32( V1, 1 ) );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
_mm_store_ss(reinterpret_cast<float *>(y),vResult);
#endif
}
// Store the Z component into a 32 bit integer locaCantion in memory.
_Use_decl_annotations_
inline void XM_CALLCONV XMVectorGetIntZPtr(uint32_t *z, FXMVECTOR V)
{
assert( z != nullptr );
#if defined(_XM_NO_INTRINSICS_)
*z = V.vector4_u32[2];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
vst1q_lane_u32(z,*reinterpret_cast<const uint32x4_t*>(&V),2);
#elif defined(_XM_SSE4_INTRINSICS_)
__m128i V1 = _mm_castps_si128( V );
*z = static_cast<uint32_t>( _mm_extract_epi32( V1, 2 ) );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(2,2,2,2));
_mm_store_ss(reinterpret_cast<float *>(z),vResult);
#endif
}
// Store the W component into a 32 bit integer location in memory.
_Use_decl_annotations_
inline void XM_CALLCONV XMVectorGetIntWPtr(uint32_t *w, FXMVECTOR V)
{
assert( w != nullptr );
#if defined(_XM_NO_INTRINSICS_)
*w = V.vector4_u32[3];
#elif defined(_XM_ARM_NEON_INTRINSICS_)
vst1q_lane_u32(w,*reinterpret_cast<const uint32x4_t*>(&V),3);
#elif defined(_XM_SSE4_INTRINSICS_)
__m128i V1 = _mm_castps_si128( V );
*w = static_cast<uint32_t>( _mm_extract_epi32( V1, 3 ) );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,3,3,3));
_mm_store_ss(reinterpret_cast<float *>(w),vResult);
#endif
}
//------------------------------------------------------------------------------
// Set a single indexed floating point component
inline XMVECTOR XM_CALLCONV XMVectorSetByIndex(FXMVECTOR V, float f, size_t i)
{
assert( i < 4 );
_Analysis_assume_( i < 4 );
XMVECTORF32 U;
U.v = V;
U.f[i] = f;
return U.v;
}
//------------------------------------------------------------------------------
// Sets the X component of a vector to a passed floating point value
inline XMVECTOR XM_CALLCONV XMVectorSetX(FXMVECTOR V, float x)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 U = { { {
x,
V.vector4_f32[1],
V.vector4_f32[2],
V.vector4_f32[3]
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vsetq_lane_f32(x,V,0);
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = _mm_set_ss(x);
vResult = _mm_move_ss(V,vResult);
return vResult;
#endif
}
// Sets the Y component of a vector to a passed floating point value
inline XMVECTOR XM_CALLCONV XMVectorSetY(FXMVECTOR V, float y)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 U = { { {
V.vector4_f32[0],
y,
V.vector4_f32[2],
V.vector4_f32[3]
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vsetq_lane_f32(y,V,1);
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vResult = _mm_set_ss(y);
vResult = _mm_insert_ps( V, vResult, 0x10 );
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
// Swap y and x
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,2,0,1));
// Convert input to vector
XMVECTOR vTemp = _mm_set_ss(y);
// Replace the x component
vResult = _mm_move_ss(vResult,vTemp);
// Swap y and x again
vResult = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(3,2,0,1));
return vResult;
#endif
}
// Sets the Z component of a vector to a passed floating point value
inline XMVECTOR XM_CALLCONV XMVectorSetZ(FXMVECTOR V, float z)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 U = { { {
V.vector4_f32[0],
V.vector4_f32[1],
z,
V.vector4_f32[3]
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vsetq_lane_f32(z,V,2);
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vResult = _mm_set_ss(z);
vResult = _mm_insert_ps( V, vResult, 0x20 );
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
// Swap z and x
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,0,1,2));
// Convert input to vector
XMVECTOR vTemp = _mm_set_ss(z);
// Replace the x component
vResult = _mm_move_ss(vResult,vTemp);
// Swap z and x again
vResult = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(3,0,1,2));
return vResult;
#endif
}
// Sets the W component of a vector to a passed floating point value
inline XMVECTOR XM_CALLCONV XMVectorSetW(FXMVECTOR V, float w)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 U = { { {
V.vector4_f32[0],
V.vector4_f32[1],
V.vector4_f32[2],
w
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vsetq_lane_f32(w,V,3);
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vResult = _mm_set_ss(w);
vResult = _mm_insert_ps( V, vResult, 0x30 );
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
// Swap w and x
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,2,1,3));
// Convert input to vector
XMVECTOR vTemp = _mm_set_ss(w);
// Replace the x component
vResult = _mm_move_ss(vResult,vTemp);
// Swap w and x again
vResult = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(0,2,1,3));
return vResult;
#endif
}
//------------------------------------------------------------------------------
// Sets a component of a vector to a floating point value passed by pointer
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorSetByIndexPtr(FXMVECTOR V, const float *f, size_t i)
{
assert( f != nullptr );
assert( i < 4 );
_Analysis_assume_( i < 4 );
XMVECTORF32 U;
U.v = V;
U.f[i] = *f;
return U.v;
}
//------------------------------------------------------------------------------
// Sets the X component of a vector to a floating point value passed by pointer
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorSetXPtr(FXMVECTOR V, const float *x)
{
assert( x != nullptr );
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 U = { { {
*x,
V.vector4_f32[1],
V.vector4_f32[2],
V.vector4_f32[3]
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vld1q_lane_f32(x,V,0);
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = _mm_load_ss(x);
vResult = _mm_move_ss(V,vResult);
return vResult;
#endif
}
// Sets the Y component of a vector to a floating point value passed by pointer
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorSetYPtr(FXMVECTOR V, const float *y)
{
assert( y != nullptr );
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 U = { { {
V.vector4_f32[0],
*y,
V.vector4_f32[2],
V.vector4_f32[3]
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vld1q_lane_f32(y,V,1);
#elif defined(_XM_SSE_INTRINSICS_)
// Swap y and x
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,2,0,1));
// Convert input to vector
XMVECTOR vTemp = _mm_load_ss(y);
// Replace the x component
vResult = _mm_move_ss(vResult,vTemp);
// Swap y and x again
vResult = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(3,2,0,1));
return vResult;
#endif
}
// Sets the Z component of a vector to a floating point value passed by pointer
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorSetZPtr(FXMVECTOR V, const float *z)
{
assert( z != nullptr );
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 U = { { {
V.vector4_f32[0],
V.vector4_f32[1],
*z,
V.vector4_f32[3]
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vld1q_lane_f32(z,V,2);
#elif defined(_XM_SSE_INTRINSICS_)
// Swap z and x
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,0,1,2));
// Convert input to vector
XMVECTOR vTemp = _mm_load_ss(z);
// Replace the x component
vResult = _mm_move_ss(vResult,vTemp);
// Swap z and x again
vResult = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(3,0,1,2));
return vResult;
#endif
}
// Sets the W component of a vector to a floating point value passed by pointer
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorSetWPtr(FXMVECTOR V, const float *w)
{
assert( w != nullptr );
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 U = { { {
V.vector4_f32[0],
V.vector4_f32[1],
V.vector4_f32[2],
*w
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vld1q_lane_f32(w,V,3);
#elif defined(_XM_SSE_INTRINSICS_)
// Swap w and x
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,2,1,3));
// Convert input to vector
XMVECTOR vTemp = _mm_load_ss(w);
// Replace the x component
vResult = _mm_move_ss(vResult,vTemp);
// Swap w and x again
vResult = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(0,2,1,3));
return vResult;
#endif
}
//------------------------------------------------------------------------------
// Sets a component of a vector to an integer passed by value
inline XMVECTOR XM_CALLCONV XMVectorSetIntByIndex(FXMVECTOR V, uint32_t x, size_t i)
{
assert( i < 4 );
_Analysis_assume_( i < 4 );
XMVECTORU32 tmp;
tmp.v = V;
tmp.u[i] = x;
return tmp;
}
//------------------------------------------------------------------------------
// Sets the X component of a vector to an integer passed by value
inline XMVECTOR XM_CALLCONV XMVectorSetIntX(FXMVECTOR V, uint32_t x)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 U = { { {
x,
V.vector4_u32[1],
V.vector4_u32[2],
V.vector4_u32[3]
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vsetq_lane_u32(x,V,0);
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vTemp = _mm_cvtsi32_si128(x);
XMVECTOR vResult = _mm_move_ss(V,_mm_castsi128_ps(vTemp));
return vResult;
#endif
}
// Sets the Y component of a vector to an integer passed by value
inline XMVECTOR XM_CALLCONV XMVectorSetIntY(FXMVECTOR V, uint32_t y)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 U = { { {
V.vector4_u32[0],
y,
V.vector4_u32[2],
V.vector4_u32[3]
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vsetq_lane_u32(y,V,1);
#elif defined(_XM_SSE4_INTRINSICS_)
__m128i vResult = _mm_castps_si128( V );
vResult = _mm_insert_epi32( vResult, static_cast<int>(y), 1 );
return _mm_castsi128_ps( vResult );
#elif defined(_XM_SSE_INTRINSICS_)
// Swap y and x
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,2,0,1));
// Convert input to vector
__m128i vTemp = _mm_cvtsi32_si128(y);
// Replace the x component
vResult = _mm_move_ss(vResult,_mm_castsi128_ps(vTemp));
// Swap y and x again
vResult = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(3,2,0,1));
return vResult;
#endif
}
// Sets the Z component of a vector to an integer passed by value
inline XMVECTOR XM_CALLCONV XMVectorSetIntZ(FXMVECTOR V, uint32_t z)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 U = { { {
V.vector4_u32[0],
V.vector4_u32[1],
z,
V.vector4_u32[3]
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vsetq_lane_u32(z,V,2);
#elif defined(_XM_SSE4_INTRINSICS_)
__m128i vResult = _mm_castps_si128( V );
vResult = _mm_insert_epi32( vResult, static_cast<int>(z), 2 );
return _mm_castsi128_ps( vResult );
#elif defined(_XM_SSE_INTRINSICS_)
// Swap z and x
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,0,1,2));
// Convert input to vector
__m128i vTemp = _mm_cvtsi32_si128(z);
// Replace the x component
vResult = _mm_move_ss(vResult,_mm_castsi128_ps(vTemp));
// Swap z and x again
vResult = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(3,0,1,2));
return vResult;
#endif
}
// Sets the W component of a vector to an integer passed by value
inline XMVECTOR XM_CALLCONV XMVectorSetIntW(FXMVECTOR V, uint32_t w)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 U = { { {
V.vector4_u32[0],
V.vector4_u32[1],
V.vector4_u32[2],
w
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vsetq_lane_u32(w,V,3);
#elif defined(_XM_SSE4_INTRINSICS_)
__m128i vResult = _mm_castps_si128( V );
vResult = _mm_insert_epi32( vResult, static_cast<int>(w), 3 );
return _mm_castsi128_ps( vResult );
#elif defined(_XM_SSE_INTRINSICS_)
// Swap w and x
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,2,1,3));
// Convert input to vector
__m128i vTemp = _mm_cvtsi32_si128(w);
// Replace the x component
vResult = _mm_move_ss(vResult,_mm_castsi128_ps(vTemp));
// Swap w and x again
vResult = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(0,2,1,3));
return vResult;
#endif
}
//------------------------------------------------------------------------------
// Sets a component of a vector to an integer value passed by pointer
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorSetIntByIndexPtr(FXMVECTOR V, const uint32_t *x, size_t i)
{
assert( x != nullptr );
assert( i < 4 );
_Analysis_assume_( i < 4 );
XMVECTORU32 tmp;
tmp.v = V;
tmp.u[i] = *x;
return tmp;
}
//------------------------------------------------------------------------------
// Sets the X component of a vector to an integer value passed by pointer
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorSetIntXPtr(FXMVECTOR V, const uint32_t *x)
{
assert( x != nullptr );
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 U = { { {
*x,
V.vector4_u32[1],
V.vector4_u32[2],
V.vector4_u32[3]
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vld1q_lane_u32(x,*reinterpret_cast<const uint32x4_t *>(&V),0);
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_load_ss(reinterpret_cast<const float *>(x));
XMVECTOR vResult = _mm_move_ss(V,vTemp);
return vResult;
#endif
}
// Sets the Y component of a vector to an integer value passed by pointer
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorSetIntYPtr(FXMVECTOR V, const uint32_t *y)
{
assert( y != nullptr );
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 U = { { {
V.vector4_u32[0],
*y,
V.vector4_u32[2],
V.vector4_u32[3]
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vld1q_lane_u32(y,*reinterpret_cast<const uint32x4_t *>(&V),1);
#elif defined(_XM_SSE_INTRINSICS_)
// Swap y and x
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,2,0,1));
// Convert input to vector
XMVECTOR vTemp = _mm_load_ss(reinterpret_cast<const float *>(y));
// Replace the x component
vResult = _mm_move_ss(vResult,vTemp);
// Swap y and x again
vResult = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(3,2,0,1));
return vResult;
#endif
}
// Sets the Z component of a vector to an integer value passed by pointer
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorSetIntZPtr(FXMVECTOR V, const uint32_t *z)
{
assert( z != nullptr );
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 U = { { {
V.vector4_u32[0],
V.vector4_u32[1],
*z,
V.vector4_u32[3]
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vld1q_lane_u32(z,*reinterpret_cast<const uint32x4_t *>(&V),2);
#elif defined(_XM_SSE_INTRINSICS_)
// Swap z and x
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,0,1,2));
// Convert input to vector
XMVECTOR vTemp = _mm_load_ss(reinterpret_cast<const float *>(z));
// Replace the x component
vResult = _mm_move_ss(vResult,vTemp);
// Swap z and x again
vResult = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(3,0,1,2));
return vResult;
#endif
}
// Sets the W component of a vector to an integer value passed by pointer
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorSetIntWPtr(FXMVECTOR V, const uint32_t *w)
{
assert( w != nullptr );
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 U = { { {
V.vector4_u32[0],
V.vector4_u32[1],
V.vector4_u32[2],
*w
} } };
return U.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vld1q_lane_u32(w,*reinterpret_cast<const uint32x4_t *>(&V),3);
#elif defined(_XM_SSE_INTRINSICS_)
// Swap w and x
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,2,1,3));
// Convert input to vector
XMVECTOR vTemp = _mm_load_ss(reinterpret_cast<const float *>(w));
// Replace the x component
vResult = _mm_move_ss(vResult,vTemp);
// Swap w and x again
vResult = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(0,2,1,3));
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorSwizzle
(
FXMVECTOR V,
uint32_t E0,
uint32_t E1,
uint32_t E2,
uint32_t E3
)
{
assert( (E0 < 4) && (E1 < 4) && (E2 < 4) && (E3 < 4) );
_Analysis_assume_( (E0 < 4) && (E1 < 4) && (E2 < 4) && (E3 < 4) );
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
V.vector4_f32[E0],
V.vector4_f32[E1],
V.vector4_f32[E2],
V.vector4_f32[E3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
static const uint32_t ControlElement[ 4 ] =
{
0x03020100, // XM_SWIZZLE_X
0x07060504, // XM_SWIZZLE_Y
0x0B0A0908, // XM_SWIZZLE_Z
0x0F0E0D0C, // XM_SWIZZLE_W
};
int8x8x2_t tbl;
tbl.val[0] = vget_low_f32(V);
tbl.val[1] = vget_high_f32(V);
uint32x2_t idx = vcreate_u32( ((uint64_t)ControlElement[E0]) | (((uint64_t)ControlElement[E1]) << 32) );
const uint8x8_t rL = vtbl2_u8( tbl, idx );
idx = vcreate_u32( ((uint64_t)ControlElement[E2]) | (((uint64_t)ControlElement[E3]) << 32) );
const uint8x8_t rH = vtbl2_u8( tbl, idx );
return vcombine_f32( rL, rH );
#elif defined(_XM_AVX_INTRINSICS_)
unsigned int elem[4] = { E0, E1, E2, E3 };
__m128i vControl = _mm_loadu_si128( reinterpret_cast<const __m128i *>(&elem[0]) );
return _mm_permutevar_ps( V, vControl );
#else
const uint32_t *aPtr = (const uint32_t* )(&V);
XMVECTOR Result;
uint32_t *pWork = (uint32_t*)(&Result);
pWork[0] = aPtr[E0];
pWork[1] = aPtr[E1];
pWork[2] = aPtr[E2];
pWork[3] = aPtr[E3];
return Result;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorPermute
(
FXMVECTOR V1,
FXMVECTOR V2,
uint32_t PermuteX,
uint32_t PermuteY,
uint32_t PermuteZ,
uint32_t PermuteW
)
{
assert( PermuteX <= 7 && PermuteY <= 7 && PermuteZ <= 7 && PermuteW <= 7 );
_Analysis_assume_( PermuteX <= 7 && PermuteY <= 7 && PermuteZ <= 7 && PermuteW <= 7 );
#if defined(_XM_ARM_NEON_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_)
static const uint32_t ControlElement[ 8 ] =
{
0x03020100, // XM_PERMUTE_0X
0x07060504, // XM_PERMUTE_0Y
0x0B0A0908, // XM_PERMUTE_0Z
0x0F0E0D0C, // XM_PERMUTE_0W
0x13121110, // XM_PERMUTE_1X
0x17161514, // XM_PERMUTE_1Y
0x1B1A1918, // XM_PERMUTE_1Z
0x1F1E1D1C, // XM_PERMUTE_1W
};
int8x8x4_t tbl;
tbl.val[0] = vget_low_f32(V1);
tbl.val[1] = vget_high_f32(V1);
tbl.val[2] = vget_low_f32(V2);
tbl.val[3] = vget_high_f32(V2);
uint32x2_t idx = vcreate_u32( ((uint64_t)ControlElement[PermuteX]) | (((uint64_t)ControlElement[PermuteY]) << 32) );
const uint8x8_t rL = vtbl4_u8( tbl, idx );
idx = vcreate_u32( ((uint64_t)ControlElement[PermuteZ]) | (((uint64_t)ControlElement[PermuteW]) << 32) );
const uint8x8_t rH = vtbl4_u8( tbl, idx );
return vcombine_f32( rL, rH );
#elif defined(_XM_AVX_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_)
static const XMVECTORU32 three = { { { 3, 3, 3, 3 } } };
_declspec(align(16)) unsigned int elem[4] = { PermuteX, PermuteY, PermuteZ, PermuteW };
__m128i vControl = _mm_load_si128( reinterpret_cast<const __m128i *>(&elem[0]) );
__m128i vSelect = _mm_cmpgt_epi32( vControl, three );
vControl = _mm_castps_si128( _mm_and_ps( _mm_castsi128_ps( vControl ), three ) );
__m128 shuffled1 = _mm_permutevar_ps( V1, vControl );
__m128 shuffled2 = _mm_permutevar_ps( V2, vControl );
__m128 masked1 = _mm_andnot_ps( _mm_castsi128_ps( vSelect ), shuffled1 );
__m128 masked2 = _mm_and_ps( _mm_castsi128_ps( vSelect ), shuffled2 );
return _mm_or_ps( masked1, masked2 );
#else
const uint32_t *aPtr[2];
aPtr[0] = (const uint32_t* )(&V1);
aPtr[1] = (const uint32_t* )(&V2);
XMVECTOR Result;
uint32_t *pWork = (uint32_t*)(&Result);
const uint32_t i0 = PermuteX & 3;
const uint32_t vi0 = PermuteX >> 2;
pWork[0] = aPtr[vi0][i0];
const uint32_t i1 = PermuteY & 3;
const uint32_t vi1 = PermuteY >> 2;
pWork[1] = aPtr[vi1][i1];
const uint32_t i2 = PermuteZ & 3;
const uint32_t vi2 = PermuteZ >> 2;
pWork[2] = aPtr[vi2][i2];
const uint32_t i3 = PermuteW & 3;
const uint32_t vi3 = PermuteW >> 2;
pWork[3] = aPtr[vi3][i3];
return Result;
#endif
}
//------------------------------------------------------------------------------
// Define a control vector to be used in XMVectorSelect
// operations. The four integers specified in XMVectorSelectControl
// serve as indices to select between components in two vectors.
// The first index controls selection for the first component of
// the vectors involved in a select operation, the second index
// controls selection for the second component etc. A value of
// zero for an index causes the corresponding component from the first
// vector to be selected whereas a one causes the component from the
// second vector to be selected instead.
inline XMVECTOR XM_CALLCONV XMVectorSelectControl
(
uint32_t VectorIndex0,
uint32_t VectorIndex1,
uint32_t VectorIndex2,
uint32_t VectorIndex3
)
{
#if defined(_XM_SSE_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_)
// x=Index0,y=Index1,z=Index2,w=Index3
__m128i vTemp = _mm_set_epi32(VectorIndex3,VectorIndex2,VectorIndex1,VectorIndex0);
// Any non-zero entries become 0xFFFFFFFF else 0
vTemp = _mm_cmpgt_epi32(vTemp,g_XMZero);
return _mm_castsi128_ps(vTemp);
#elif defined(_XM_ARM_NEON_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_)
int32x2_t V0 = vcreate_s32(((uint64_t)VectorIndex0) | ((uint64_t)VectorIndex1 << 32));
int32x2_t V1 = vcreate_s32(((uint64_t)VectorIndex2) | ((uint64_t)VectorIndex3 << 32));
int32x4_t vTemp = vcombine_s32(V0, V1);
// Any non-zero entries become 0xFFFFFFFF else 0
return vcgtq_s32(vTemp,g_XMZero);
#else
XMVECTOR ControlVector;
const uint32_t ControlElement[] =
{
XM_SELECT_0,
XM_SELECT_1
};
assert(VectorIndex0 < 2);
assert(VectorIndex1 < 2);
assert(VectorIndex2 < 2);
assert(VectorIndex3 < 2);
_Analysis_assume_(VectorIndex0 < 2);
_Analysis_assume_(VectorIndex1 < 2);
_Analysis_assume_(VectorIndex2 < 2);
_Analysis_assume_(VectorIndex3 < 2);
ControlVector.vector4_u32[0] = ControlElement[VectorIndex0];
ControlVector.vector4_u32[1] = ControlElement[VectorIndex1];
ControlVector.vector4_u32[2] = ControlElement[VectorIndex2];
ControlVector.vector4_u32[3] = ControlElement[VectorIndex3];
return ControlVector;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorSelect
(
FXMVECTOR V1,
FXMVECTOR V2,
FXMVECTOR Control
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Result = { { {
(V1.vector4_u32[0] & ~Control.vector4_u32[0]) | (V2.vector4_u32[0] & Control.vector4_u32[0]),
(V1.vector4_u32[1] & ~Control.vector4_u32[1]) | (V2.vector4_u32[1] & Control.vector4_u32[1]),
(V1.vector4_u32[2] & ~Control.vector4_u32[2]) | (V2.vector4_u32[2] & Control.vector4_u32[2]),
(V1.vector4_u32[3] & ~Control.vector4_u32[3]) | (V2.vector4_u32[3] & Control.vector4_u32[3]),
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vbslq_f32( Control, V2, V1 );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp1 = _mm_andnot_ps(Control,V1);
XMVECTOR vTemp2 = _mm_and_ps(V2,Control);
return _mm_or_ps(vTemp1,vTemp2);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorMergeXY
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Result = { { {
V1.vector4_u32[0],
V2.vector4_u32[0],
V1.vector4_u32[1],
V2.vector4_u32[1],
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vzipq_f32( V1, V2 ).val[0];
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_unpacklo_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorMergeZW
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Result = { { {
V1.vector4_u32[2],
V2.vector4_u32[2],
V1.vector4_u32[3],
V2.vector4_u32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vzipq_f32( V1, V2 ).val[1];
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_unpackhi_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorShiftLeft(FXMVECTOR V1, FXMVECTOR V2, uint32_t Elements)
{
assert( Elements < 4 );
_Analysis_assume_( Elements < 4 );
return XMVectorPermute(V1, V2, Elements, ((Elements) + 1), ((Elements) + 2), ((Elements) + 3));
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorRotateLeft(FXMVECTOR V, uint32_t Elements)
{
assert( Elements < 4 );
_Analysis_assume_( Elements < 4 );
return XMVectorSwizzle( V, Elements & 3, (Elements + 1) & 3, (Elements + 2) & 3, (Elements + 3) & 3 );
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorRotateRight(FXMVECTOR V, uint32_t Elements)
{
assert( Elements < 4 );
_Analysis_assume_( Elements < 4 );
return XMVectorSwizzle( V, (4 - (Elements)) & 3, (5 - (Elements)) & 3, (6 - (Elements)) & 3, (7 - (Elements)) & 3 );
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorInsert(FXMVECTOR VD, FXMVECTOR VS, uint32_t VSLeftRotateElements,
uint32_t Select0, uint32_t Select1, uint32_t Select2, uint32_t Select3)
{
XMVECTOR Control = XMVectorSelectControl(Select0&1, Select1&1, Select2&1, Select3&1);
return XMVectorSelect( VD, XMVectorRotateLeft(VS, VSLeftRotateElements), Control );
}
//------------------------------------------------------------------------------
// Comparison operations
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorEqual
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Control = { { {
(V1.vector4_f32[0] == V2.vector4_f32[0]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[1] == V2.vector4_f32[1]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[2] == V2.vector4_f32[2]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[3] == V2.vector4_f32[3]) ? 0xFFFFFFFF : 0,
} } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vceqq_f32( V1, V2 );
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_cmpeq_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorEqualR
(
uint32_t* pCR,
FXMVECTOR V1,
FXMVECTOR V2
)
{
assert( pCR != nullptr );
#if defined(_XM_NO_INTRINSICS_)
uint32_t ux = (V1.vector4_f32[0] == V2.vector4_f32[0]) ? 0xFFFFFFFFU : 0;
uint32_t uy = (V1.vector4_f32[1] == V2.vector4_f32[1]) ? 0xFFFFFFFFU : 0;
uint32_t uz = (V1.vector4_f32[2] == V2.vector4_f32[2]) ? 0xFFFFFFFFU : 0;
uint32_t uw = (V1.vector4_f32[3] == V2.vector4_f32[3]) ? 0xFFFFFFFFU : 0;
uint32_t CR = 0;
if (ux&uy&uz&uw)
{
// All elements are greater
CR = XM_CRMASK_CR6TRUE;
}
else if (!(ux|uy|uz|uw))
{
// All elements are not greater
CR = XM_CRMASK_CR6FALSE;
}
*pCR = CR;
XMVECTORU32 Control = { { { ux, uy, uz, uw } } };
return Control;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
uint32_t r = vget_lane_u32(vTemp.val[1], 1);
uint32_t CR = 0;
if ( r == 0xFFFFFFFFU )
{
// All elements are equal
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
// All elements are not equal
CR = XM_CRMASK_CR6FALSE;
}
*pCR = CR;
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpeq_ps(V1,V2);
uint32_t CR = 0;
int iTest = _mm_movemask_ps(vTemp);
if (iTest==0xf)
{
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTest)
{
// All elements are not greater
CR = XM_CRMASK_CR6FALSE;
}
*pCR = CR;
return vTemp;
#endif
}
//------------------------------------------------------------------------------
// Treat the components of the vectors as unsigned integers and
// compare individual bits between the two. This is useful for
// comparing control vectors and result vectors returned from
// other comparison operations.
inline XMVECTOR XM_CALLCONV XMVectorEqualInt
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Control = { { {
(V1.vector4_u32[0] == V2.vector4_u32[0]) ? 0xFFFFFFFF : 0,
(V1.vector4_u32[1] == V2.vector4_u32[1]) ? 0xFFFFFFFF : 0,
(V1.vector4_u32[2] == V2.vector4_u32[2]) ? 0xFFFFFFFF : 0,
(V1.vector4_u32[3] == V2.vector4_u32[3]) ? 0xFFFFFFFF : 0,
} } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vceqq_u32( V1, V2 );
#elif defined(_XM_SSE_INTRINSICS_)
__m128i V = _mm_cmpeq_epi32( _mm_castps_si128(V1),_mm_castps_si128(V2) );
return _mm_castsi128_ps(V);
#endif
}
//------------------------------------------------------------------------------
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorEqualIntR
(
uint32_t* pCR,
FXMVECTOR V1,
FXMVECTOR V2
)
{
assert( pCR != nullptr );
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Control = XMVectorEqualInt(V1, V2);
*pCR = 0;
if (XMVector4EqualInt(Control, XMVectorTrueInt()))
{
// All elements are equal
*pCR |= XM_CRMASK_CR6TRUE;
}
else if (XMVector4EqualInt(Control, XMVectorFalseInt()))
{
// All elements are not equal
*pCR |= XM_CRMASK_CR6FALSE;
}
return Control;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_u32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
uint32_t r = vget_lane_u32(vTemp.val[1], 1);
uint32_t CR = 0;
if ( r == 0xFFFFFFFFU )
{
// All elements are equal
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
// All elements are not equal
CR = XM_CRMASK_CR6FALSE;
}
*pCR = CR;
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
__m128i V = _mm_cmpeq_epi32( _mm_castps_si128(V1),_mm_castps_si128(V2) );
int iTemp = _mm_movemask_ps(_mm_castsi128_ps(V));
uint32_t CR = 0;
if (iTemp==0x0F)
{
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTemp)
{
CR = XM_CRMASK_CR6FALSE;
}
*pCR = CR;
return _mm_castsi128_ps(V);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorNearEqual
(
FXMVECTOR V1,
FXMVECTOR V2,
FXMVECTOR Epsilon
)
{
#if defined(_XM_NO_INTRINSICS_)
float fDeltax = V1.vector4_f32[0]-V2.vector4_f32[0];
float fDeltay = V1.vector4_f32[1]-V2.vector4_f32[1];
float fDeltaz = V1.vector4_f32[2]-V2.vector4_f32[2];
float fDeltaw = V1.vector4_f32[3]-V2.vector4_f32[3];
fDeltax = fabsf(fDeltax);
fDeltay = fabsf(fDeltay);
fDeltaz = fabsf(fDeltaz);
fDeltaw = fabsf(fDeltaw);
XMVECTORU32 Control = { { {
(fDeltax <= Epsilon.vector4_f32[0]) ? 0xFFFFFFFFU : 0,
(fDeltay <= Epsilon.vector4_f32[1]) ? 0xFFFFFFFFU : 0,
(fDeltaz <= Epsilon.vector4_f32[2]) ? 0xFFFFFFFFU : 0,
(fDeltaw <= Epsilon.vector4_f32[3]) ? 0xFFFFFFFFU : 0,
} } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
XMVECTOR vDelta = vsubq_f32(V1,V2);
return vacleq_f32( vDelta, Epsilon );
#elif defined(_XM_SSE_INTRINSICS_)
// Get the difference
XMVECTOR vDelta = _mm_sub_ps(V1,V2);
// Get the absolute value of the difference
XMVECTOR vTemp = _mm_setzero_ps();
vTemp = _mm_sub_ps(vTemp,vDelta);
vTemp = _mm_max_ps(vTemp,vDelta);
vTemp = _mm_cmple_ps(vTemp,Epsilon);
return vTemp;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorNotEqual
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Control = { { {
(V1.vector4_f32[0] != V2.vector4_f32[0]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[1] != V2.vector4_f32[1]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[2] != V2.vector4_f32[2]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[3] != V2.vector4_f32[3]) ? 0xFFFFFFFF : 0,
} } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vmvnq_u32(vceqq_f32(V1, V2));
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_cmpneq_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorNotEqualInt
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Control = { { {
(V1.vector4_u32[0] != V2.vector4_u32[0]) ? 0xFFFFFFFFU : 0,
(V1.vector4_u32[1] != V2.vector4_u32[1]) ? 0xFFFFFFFFU : 0,
(V1.vector4_u32[2] != V2.vector4_u32[2]) ? 0xFFFFFFFFU : 0,
(V1.vector4_u32[3] != V2.vector4_u32[3]) ? 0xFFFFFFFFU : 0
} } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vmvnq_u32(vceqq_u32(V1, V2));
#elif defined(_XM_SSE_INTRINSICS_)
__m128i V = _mm_cmpeq_epi32( _mm_castps_si128(V1),_mm_castps_si128(V2) );
return _mm_xor_ps(_mm_castsi128_ps(V),g_XMNegOneMask);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorGreater
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Control = { { {
(V1.vector4_f32[0] > V2.vector4_f32[0]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[1] > V2.vector4_f32[1]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[2] > V2.vector4_f32[2]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[3] > V2.vector4_f32[3]) ? 0xFFFFFFFF : 0
} } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vcgtq_f32( V1, V2 );
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_cmpgt_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorGreaterR
(
uint32_t* pCR,
FXMVECTOR V1,
FXMVECTOR V2
)
{
assert( pCR != nullptr );
#if defined(_XM_NO_INTRINSICS_)
uint32_t ux = (V1.vector4_f32[0] > V2.vector4_f32[0]) ? 0xFFFFFFFFU : 0;
uint32_t uy = (V1.vector4_f32[1] > V2.vector4_f32[1]) ? 0xFFFFFFFFU : 0;
uint32_t uz = (V1.vector4_f32[2] > V2.vector4_f32[2]) ? 0xFFFFFFFFU : 0;
uint32_t uw = (V1.vector4_f32[3] > V2.vector4_f32[3]) ? 0xFFFFFFFFU : 0;
uint32_t CR = 0;
if (ux&uy&uz&uw)
{
// All elements are greater
CR = XM_CRMASK_CR6TRUE;
}
else if (!(ux|uy|uz|uw))
{
// All elements are not greater
CR = XM_CRMASK_CR6FALSE;
}
*pCR = CR;
XMVECTORU32 Control = { { { ux, uy, uz, uw } } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcgtq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
uint32_t r = vget_lane_u32(vTemp.val[1], 1);
uint32_t CR = 0;
if ( r == 0xFFFFFFFFU )
{
// All elements are greater
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
// All elements are not greater
CR = XM_CRMASK_CR6FALSE;
}
*pCR = CR;
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpgt_ps(V1,V2);
uint32_t CR = 0;
int iTest = _mm_movemask_ps(vTemp);
if (iTest==0xf)
{
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTest)
{
// All elements are not greater
CR = XM_CRMASK_CR6FALSE;
}
*pCR = CR;
return vTemp;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorGreaterOrEqual
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Control = { { {
(V1.vector4_f32[0] >= V2.vector4_f32[0]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[1] >= V2.vector4_f32[1]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[2] >= V2.vector4_f32[2]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[3] >= V2.vector4_f32[3]) ? 0xFFFFFFFF : 0
} } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vcgeq_f32( V1, V2 );
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_cmpge_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorGreaterOrEqualR
(
uint32_t* pCR,
FXMVECTOR V1,
FXMVECTOR V2
)
{
assert( pCR != nullptr );
#if defined(_XM_NO_INTRINSICS_)
uint32_t ux = (V1.vector4_f32[0] >= V2.vector4_f32[0]) ? 0xFFFFFFFFU : 0;
uint32_t uy = (V1.vector4_f32[1] >= V2.vector4_f32[1]) ? 0xFFFFFFFFU : 0;
uint32_t uz = (V1.vector4_f32[2] >= V2.vector4_f32[2]) ? 0xFFFFFFFFU : 0;
uint32_t uw = (V1.vector4_f32[3] >= V2.vector4_f32[3]) ? 0xFFFFFFFFU : 0;
uint32_t CR = 0;
if (ux&uy&uz&uw)
{
// All elements are greater
CR = XM_CRMASK_CR6TRUE;
}
else if (!(ux|uy|uz|uw))
{
// All elements are not greater
CR = XM_CRMASK_CR6FALSE;
}
*pCR = CR;
XMVECTORU32 Control = { { { ux, uy, uz, uw } } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcgeq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
uint32_t r = vget_lane_u32(vTemp.val[1], 1);
uint32_t CR = 0;
if ( r == 0xFFFFFFFFU )
{
// All elements are greater or equal
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
// All elements are not greater or equal
CR = XM_CRMASK_CR6FALSE;
}
*pCR = CR;
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpge_ps(V1,V2);
uint32_t CR = 0;
int iTest = _mm_movemask_ps(vTemp);
if (iTest==0xf)
{
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTest)
{
// All elements are not greater
CR = XM_CRMASK_CR6FALSE;
}
*pCR = CR;
return vTemp;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorLess
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Control = { { {
(V1.vector4_f32[0] < V2.vector4_f32[0]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[1] < V2.vector4_f32[1]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[2] < V2.vector4_f32[2]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[3] < V2.vector4_f32[3]) ? 0xFFFFFFFF : 0
} } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vcltq_f32( V1, V2 );
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_cmplt_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorLessOrEqual
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Control = { { {
(V1.vector4_f32[0] <= V2.vector4_f32[0]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[1] <= V2.vector4_f32[1]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[2] <= V2.vector4_f32[2]) ? 0xFFFFFFFF : 0,
(V1.vector4_f32[3] <= V2.vector4_f32[3]) ? 0xFFFFFFFF : 0
} } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vcleq_f32( V1, V2 );
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_cmple_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorInBounds
(
FXMVECTOR V,
FXMVECTOR Bounds
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Control = { { {
(V.vector4_f32[0] <= Bounds.vector4_f32[0] && V.vector4_f32[0] >= -Bounds.vector4_f32[0]) ? 0xFFFFFFFF : 0,
(V.vector4_f32[1] <= Bounds.vector4_f32[1] && V.vector4_f32[1] >= -Bounds.vector4_f32[1]) ? 0xFFFFFFFF : 0,
(V.vector4_f32[2] <= Bounds.vector4_f32[2] && V.vector4_f32[2] >= -Bounds.vector4_f32[2]) ? 0xFFFFFFFF : 0,
(V.vector4_f32[3] <= Bounds.vector4_f32[3] && V.vector4_f32[3] >= -Bounds.vector4_f32[3]) ? 0xFFFFFFFF : 0
} } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Test if less than or equal
XMVECTOR vTemp1 = vcleq_f32(V,Bounds);
// Negate the bounds
XMVECTOR vTemp2 = vnegq_f32(Bounds);
// Test if greater or equal (Reversed)
vTemp2 = vcleq_f32(vTemp2,V);
// Blend answers
vTemp1 = vandq_u32(vTemp1,vTemp2);
return vTemp1;
#elif defined(_XM_SSE_INTRINSICS_)
// Test if less than or equal
XMVECTOR vTemp1 = _mm_cmple_ps(V,Bounds);
// Negate the bounds
XMVECTOR vTemp2 = _mm_mul_ps(Bounds,g_XMNegativeOne);
// Test if greater or equal (Reversed)
vTemp2 = _mm_cmple_ps(vTemp2,V);
// Blend answers
vTemp1 = _mm_and_ps(vTemp1,vTemp2);
return vTemp1;
#endif
}
//------------------------------------------------------------------------------
_Use_decl_annotations_
inline XMVECTOR XM_CALLCONV XMVectorInBoundsR
(
uint32_t* pCR,
FXMVECTOR V,
FXMVECTOR Bounds
)
{
assert( pCR != nullptr );
#if defined(_XM_NO_INTRINSICS_)
uint32_t ux = (V.vector4_f32[0] <= Bounds.vector4_f32[0] && V.vector4_f32[0] >= -Bounds.vector4_f32[0]) ? 0xFFFFFFFFU : 0;
uint32_t uy = (V.vector4_f32[1] <= Bounds.vector4_f32[1] && V.vector4_f32[1] >= -Bounds.vector4_f32[1]) ? 0xFFFFFFFFU : 0;
uint32_t uz = (V.vector4_f32[2] <= Bounds.vector4_f32[2] && V.vector4_f32[2] >= -Bounds.vector4_f32[2]) ? 0xFFFFFFFFU : 0;
uint32_t uw = (V.vector4_f32[3] <= Bounds.vector4_f32[3] && V.vector4_f32[3] >= -Bounds.vector4_f32[3]) ? 0xFFFFFFFFU : 0;
uint32_t CR = 0;
if (ux&uy&uz&uw)
{
// All elements are in bounds
CR = XM_CRMASK_CR6BOUNDS;
}
*pCR = CR;
XMVECTORU32 Control = { { { ux, uy, uz, uw } } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Test if less than or equal
XMVECTOR vTemp1 = vcleq_f32(V,Bounds);
// Negate the bounds
XMVECTOR vTemp2 = vnegq_f32(Bounds);
// Test if greater or equal (Reversed)
vTemp2 = vcleq_f32(vTemp2,V);
// Blend answers
vTemp1 = vandq_u32(vTemp1,vTemp2);
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vTemp1), vget_high_u8(vTemp1));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
uint32_t r = vget_lane_u32(vTemp.val[1], 1);
uint32_t CR = 0;
if ( r == 0xFFFFFFFFU )
{
// All elements are in bounds
CR = XM_CRMASK_CR6BOUNDS;
}
*pCR = CR;
return vTemp1;
#elif defined(_XM_SSE_INTRINSICS_)
// Test if less than or equal
XMVECTOR vTemp1 = _mm_cmple_ps(V,Bounds);
// Negate the bounds
XMVECTOR vTemp2 = _mm_mul_ps(Bounds,g_XMNegativeOne);
// Test if greater or equal (Reversed)
vTemp2 = _mm_cmple_ps(vTemp2,V);
// Blend answers
vTemp1 = _mm_and_ps(vTemp1,vTemp2);
uint32_t CR = 0;
if (_mm_movemask_ps(vTemp1)==0xf) {
// All elements are in bounds
CR = XM_CRMASK_CR6BOUNDS;
}
*pCR = CR;
return vTemp1;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorIsNaN
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Control = { { {
XMISNAN(V.vector4_f32[0]) ? 0xFFFFFFFFU : 0,
XMISNAN(V.vector4_f32[1]) ? 0xFFFFFFFFU : 0,
XMISNAN(V.vector4_f32[2]) ? 0xFFFFFFFFU : 0,
XMISNAN(V.vector4_f32[3]) ? 0xFFFFFFFFU : 0
} } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Test against itself. NaN is always not equal
uint32x4_t vTempNan = vceqq_f32( V, V );
// Flip results
return vmvnq_u32( vTempNan );
#elif defined(_XM_SSE_INTRINSICS_)
// Test against itself. NaN is always not equal
return _mm_cmpneq_ps(V,V);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorIsInfinite
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Control = { { {
XMISINF(V.vector4_f32[0]) ? 0xFFFFFFFFU : 0,
XMISINF(V.vector4_f32[1]) ? 0xFFFFFFFFU : 0,
XMISINF(V.vector4_f32[2]) ? 0xFFFFFFFFU : 0,
XMISINF(V.vector4_f32[3]) ? 0xFFFFFFFFU : 0
} } };
return Control.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Mask off the sign bit
uint32x4_t vTemp = vandq_u32(V,g_XMAbsMask);
// Compare to infinity
vTemp = vceqq_f32(vTemp,g_XMInfinity);
// If any are infinity, the signs are true.
return vTemp;
#elif defined(_XM_SSE_INTRINSICS_)
// Mask off the sign bit
__m128 vTemp = _mm_and_ps(V,g_XMAbsMask);
// Compare to infinity
vTemp = _mm_cmpeq_ps(vTemp,g_XMInfinity);
// If any are infinity, the signs are true.
return vTemp;
#endif
}
//------------------------------------------------------------------------------
// Rounding and clamping operations
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorMin
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
(V1.vector4_f32[0] < V2.vector4_f32[0]) ? V1.vector4_f32[0] : V2.vector4_f32[0],
(V1.vector4_f32[1] < V2.vector4_f32[1]) ? V1.vector4_f32[1] : V2.vector4_f32[1],
(V1.vector4_f32[2] < V2.vector4_f32[2]) ? V1.vector4_f32[2] : V2.vector4_f32[2],
(V1.vector4_f32[3] < V2.vector4_f32[3]) ? V1.vector4_f32[3] : V2.vector4_f32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vminq_f32( V1, V2 );
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_min_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorMax
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
(V1.vector4_f32[0] > V2.vector4_f32[0]) ? V1.vector4_f32[0] : V2.vector4_f32[0],
(V1.vector4_f32[1] > V2.vector4_f32[1]) ? V1.vector4_f32[1] : V2.vector4_f32[1],
(V1.vector4_f32[2] > V2.vector4_f32[2]) ? V1.vector4_f32[2] : V2.vector4_f32[2],
(V1.vector4_f32[3] > V2.vector4_f32[3]) ? V1.vector4_f32[3] : V2.vector4_f32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vmaxq_f32( V1, V2 );
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_max_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
namespace Internal
{
// Round to nearest (even) a.k.a. banker's rounding
inline float round_to_nearest( float x )
{
float i = floorf(x);
x -= i;
if(x < 0.5f)
return i;
if(x > 0.5f)
return i + 1.f;
float int_part;
(void)modff( i / 2.f, &int_part );
if ( (2.f*int_part) == i )
{
return i;
}
return i + 1.f;
}
};
#if !defined(_XM_NO_INTRINSICS_) && !defined(__clang__) && !defined(__INTEL_COMPILER)
#pragma float_control(push)
#pragma float_control(precise, on)
#endif
inline XMVECTOR XM_CALLCONV XMVectorRound
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
Internal::round_to_nearest(V.vector4_f32[0]),
Internal::round_to_nearest(V.vector4_f32[1]),
Internal::round_to_nearest(V.vector4_f32[2]),
Internal::round_to_nearest(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
return vrndnq_f32(V);
#else
uint32x4_t sign = vandq_u32( V, g_XMNegativeZero );
uint32x4_t sMagic = vorrq_u32( g_XMNoFraction, sign );
float32x4_t R1 = vaddq_f32( V, sMagic );
R1 = vsubq_f32( R1, sMagic );
float32x4_t R2 = vabsq_f32( V );
uint32x4_t mask = vcleq_f32( R2, g_XMNoFraction );
XMVECTOR vResult = vbslq_f32( mask, R1, V );
return vResult;
#endif
#elif defined(_XM_SSE4_INTRINSICS_)
return _mm_round_ps( V, _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC );
#elif defined(_XM_SSE_INTRINSICS_)
__m128 sign = _mm_and_ps( V, g_XMNegativeZero );
__m128 sMagic = _mm_or_ps( g_XMNoFraction, sign );
__m128 R1 = _mm_add_ps( V, sMagic );
R1 = _mm_sub_ps( R1, sMagic );
__m128 R2 = _mm_and_ps( V, g_XMAbsMask );
__m128 mask = _mm_cmple_ps( R2, g_XMNoFraction );
R2 = _mm_andnot_ps(mask,V);
R1 = _mm_and_ps(R1,mask);
XMVECTOR vResult = _mm_xor_ps(R1, R2);
return vResult;
#endif
}
#if !defined(_XM_NO_INTRINSICS_) && !defined(__clang__) && !defined(__INTEL_COMPILER)
#pragma float_control(pop)
#endif
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorTruncate
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
uint32_t i;
// Avoid C4701
Result.vector4_f32[0] = 0.0f;
for (i = 0; i < 4; i++)
{
if (XMISNAN(V.vector4_f32[i]))
{
Result.vector4_u32[i] = 0x7FC00000;
}
else if (fabsf(V.vector4_f32[i]) < 8388608.0f)
{
Result.vector4_f32[i] = (float)((int32_t)V.vector4_f32[i]);
}
else
{
Result.vector4_f32[i] = V.vector4_f32[i];
}
}
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
return vrndq_f32(V);
#else
float32x4_t vTest = vabsq_f32( V );
vTest = vcltq_f32( vTest, g_XMNoFraction );
int32x4_t vInt = vcvtq_s32_f32( V );
XMVECTOR vResult = vcvtq_f32_s32( vInt );
// All numbers less than 8388608 will use the round to int
// All others, use the ORIGINAL value
return vbslq_f32( vTest, vResult, V );
#endif
#elif defined(_XM_SSE4_INTRINSICS_)
return _mm_round_ps( V, _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC );
#elif defined(_XM_SSE_INTRINSICS_)
// To handle NAN, INF and numbers greater than 8388608, use masking
// Get the abs value
__m128i vTest = _mm_and_si128(_mm_castps_si128(V),g_XMAbsMask);
// Test for greater than 8388608 (All floats with NO fractionals, NAN and INF
vTest = _mm_cmplt_epi32(vTest,g_XMNoFraction);
// Convert to int and back to float for rounding with truncation
__m128i vInt = _mm_cvttps_epi32(V);
// Convert back to floats
XMVECTOR vResult = _mm_cvtepi32_ps(vInt);
// All numbers less than 8388608 will use the round to int
vResult = _mm_and_ps(vResult,_mm_castsi128_ps(vTest));
// All others, use the ORIGINAL value
vTest = _mm_andnot_si128(vTest,_mm_castps_si128(V));
vResult = _mm_or_ps(vResult,_mm_castsi128_ps(vTest));
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorFloor
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
floorf(V.vector4_f32[0]),
floorf(V.vector4_f32[1]),
floorf(V.vector4_f32[2]),
floorf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
return vrndmq_f32(V);
#else
float32x4_t vTest = vabsq_f32( V );
vTest = vcltq_f32( vTest, g_XMNoFraction );
// Truncate
int32x4_t vInt = vcvtq_s32_f32( V );
XMVECTOR vResult = vcvtq_f32_s32( vInt );
XMVECTOR vLarger = vcgtq_f32( vResult, V );
// 0 -> 0, 0xffffffff -> -1.0f
vLarger = vcvtq_f32_s32( vLarger );
vResult = vaddq_f32( vResult, vLarger );
// All numbers less than 8388608 will use the round to int
// All others, use the ORIGINAL value
return vbslq_f32( vTest, vResult, V );
#endif
#elif defined(_XM_SSE4_INTRINSICS_)
return _mm_floor_ps( V );
#elif defined(_XM_SSE_INTRINSICS_)
// To handle NAN, INF and numbers greater than 8388608, use masking
__m128i vTest = _mm_and_si128(_mm_castps_si128(V),g_XMAbsMask);
vTest = _mm_cmplt_epi32(vTest,g_XMNoFraction);
// Truncate
__m128i vInt = _mm_cvttps_epi32(V);
XMVECTOR vResult = _mm_cvtepi32_ps(vInt);
__m128 vLarger = _mm_cmpgt_ps( vResult, V );
// 0 -> 0, 0xffffffff -> -1.0f
vLarger = _mm_cvtepi32_ps( _mm_castps_si128( vLarger ) );
vResult = _mm_add_ps( vResult, vLarger );
// All numbers less than 8388608 will use the round to int
vResult = _mm_and_ps(vResult,_mm_castsi128_ps(vTest));
// All others, use the ORIGINAL value
vTest = _mm_andnot_si128(vTest,_mm_castps_si128(V));
vResult = _mm_or_ps(vResult,_mm_castsi128_ps(vTest));
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorCeiling
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
ceilf(V.vector4_f32[0]),
ceilf(V.vector4_f32[1]),
ceilf(V.vector4_f32[2]),
ceilf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
return vrndpq_f32(V);
#else
float32x4_t vTest = vabsq_f32( V );
vTest = vcltq_f32( vTest, g_XMNoFraction );
// Truncate
int32x4_t vInt = vcvtq_s32_f32( V );
XMVECTOR vResult = vcvtq_f32_s32( vInt );
XMVECTOR vSmaller = vcltq_f32( vResult, V );
// 0 -> 0, 0xffffffff -> -1.0f
vSmaller = vcvtq_f32_s32( vSmaller );
vResult = vsubq_f32( vResult, vSmaller );
// All numbers less than 8388608 will use the round to int
// All others, use the ORIGINAL value
return vbslq_f32( vTest, vResult, V );
#endif
#elif defined(_XM_SSE4_INTRINSICS_)
return _mm_ceil_ps( V );
#elif defined(_XM_SSE_INTRINSICS_)
// To handle NAN, INF and numbers greater than 8388608, use masking
__m128i vTest = _mm_and_si128(_mm_castps_si128(V),g_XMAbsMask);
vTest = _mm_cmplt_epi32(vTest,g_XMNoFraction);
// Truncate
__m128i vInt = _mm_cvttps_epi32(V);
XMVECTOR vResult = _mm_cvtepi32_ps(vInt);
__m128 vSmaller = _mm_cmplt_ps( vResult, V );
// 0 -> 0, 0xffffffff -> -1.0f
vSmaller = _mm_cvtepi32_ps( _mm_castps_si128( vSmaller ) );
vResult = _mm_sub_ps( vResult, vSmaller );
// All numbers less than 8388608 will use the round to int
vResult = _mm_and_ps(vResult,_mm_castsi128_ps(vTest));
// All others, use the ORIGINAL value
vTest = _mm_andnot_si128(vTest,_mm_castps_si128(V));
vResult = _mm_or_ps(vResult,_mm_castsi128_ps(vTest));
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorClamp
(
FXMVECTOR V,
FXMVECTOR Min,
FXMVECTOR Max
)
{
assert(XMVector4LessOrEqual(Min, Max));
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVectorMax(Min, V);
Result = XMVectorMin(Max, Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
XMVECTOR vResult;
vResult = vmaxq_f32(Min,V);
vResult = vminq_f32(vResult,Max);
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult;
vResult = _mm_max_ps(Min,V);
vResult = _mm_min_ps(vResult,Max);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorSaturate
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
const XMVECTOR Zero = XMVectorZero();
return XMVectorClamp(V, Zero, g_XMOne.v);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Set <0 to 0
XMVECTOR vResult = vmaxq_f32(V, vdupq_n_f32(0) );
// Set>1 to 1
return vminq_f32(vResult, vdupq_n_f32(1.0f) );
#elif defined(_XM_SSE_INTRINSICS_)
// Set <0 to 0
XMVECTOR vResult = _mm_max_ps(V,g_XMZero);
// Set>1 to 1
return _mm_min_ps(vResult,g_XMOne);
#endif
}
//------------------------------------------------------------------------------
// Bitwise logical operations
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorAndInt
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Result = { { {
V1.vector4_u32[0] & V2.vector4_u32[0],
V1.vector4_u32[1] & V2.vector4_u32[1],
V1.vector4_u32[2] & V2.vector4_u32[2],
V1.vector4_u32[3] & V2.vector4_u32[3]
} } };
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vandq_u32(V1,V2);
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_and_ps(V1,V2);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorAndCInt
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Result = { { {
V1.vector4_u32[0] & ~V2.vector4_u32[0],
V1.vector4_u32[1] & ~V2.vector4_u32[1],
V1.vector4_u32[2] & ~V2.vector4_u32[2],
V1.vector4_u32[3] & ~V2.vector4_u32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vbicq_u32(V1,V2);
#elif defined(_XM_SSE_INTRINSICS_)
__m128i V = _mm_andnot_si128( _mm_castps_si128(V2), _mm_castps_si128(V1) );
return _mm_castsi128_ps(V);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorOrInt
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Result = { { {
V1.vector4_u32[0] | V2.vector4_u32[0],
V1.vector4_u32[1] | V2.vector4_u32[1],
V1.vector4_u32[2] | V2.vector4_u32[2],
V1.vector4_u32[3] | V2.vector4_u32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vorrq_u32(V1,V2);
#elif defined(_XM_SSE_INTRINSICS_)
__m128i V = _mm_or_si128( _mm_castps_si128(V1), _mm_castps_si128(V2) );
return _mm_castsi128_ps(V);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorNorInt
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Result = { { {
~(V1.vector4_u32[0] | V2.vector4_u32[0]),
~(V1.vector4_u32[1] | V2.vector4_u32[1]),
~(V1.vector4_u32[2] | V2.vector4_u32[2]),
~(V1.vector4_u32[3] | V2.vector4_u32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t Result = vorrq_u32(V1,V2);
return vbicq_u32(g_XMNegOneMask, Result);
#elif defined(_XM_SSE_INTRINSICS_)
__m128i Result;
Result = _mm_or_si128( _mm_castps_si128(V1), _mm_castps_si128(V2) );
Result = _mm_andnot_si128( Result,g_XMNegOneMask);
return _mm_castsi128_ps(Result);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorXorInt
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORU32 Result = { { {
V1.vector4_u32[0] ^ V2.vector4_u32[0],
V1.vector4_u32[1] ^ V2.vector4_u32[1],
V1.vector4_u32[2] ^ V2.vector4_u32[2],
V1.vector4_u32[3] ^ V2.vector4_u32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return veorq_u32(V1,V2);
#elif defined(_XM_SSE_INTRINSICS_)
__m128i V = _mm_xor_si128( _mm_castps_si128(V1), _mm_castps_si128(V2) );
return _mm_castsi128_ps(V);
#endif
}
//------------------------------------------------------------------------------
// Computation operations
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorNegate
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
-V.vector4_f32[0],
-V.vector4_f32[1],
-V.vector4_f32[2],
-V.vector4_f32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vnegq_f32(V);
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR Z;
Z = _mm_setzero_ps();
return _mm_sub_ps( Z, V );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorAdd
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
V1.vector4_f32[0] + V2.vector4_f32[0],
V1.vector4_f32[1] + V2.vector4_f32[1],
V1.vector4_f32[2] + V2.vector4_f32[2],
V1.vector4_f32[3] + V2.vector4_f32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vaddq_f32( V1, V2 );
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_add_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorSum
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result;
Result.f[0] =
Result.f[1] =
Result.f[2] =
Result.f[3] = V.vector4_f32[0] + V.vector4_f32[1] + V.vector4_f32[2] + V.vector4_f32[3];
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
XMVECTOR vTemp = vpaddq_f32(V, V);
return vpaddq_f32(vTemp,vTemp);
#else
float32x2_t v1 = vget_low_f32(V);
float32x2_t v2 = vget_high_f32(V);
v1 = vadd_f32(v1, v2);
v1 = vpadd_f32(v1, v1);
return vcombine_f32(v1, v1);
#endif
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vTemp = _mm_hadd_ps(V, V);
return _mm_hadd_ps(vTemp,vTemp);
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = XM_PERMUTE_PS(V, _MM_SHUFFLE(2, 3, 0, 1));
XMVECTOR vTemp2 = _mm_add_ps(V, vTemp);
vTemp = XM_PERMUTE_PS(vTemp2, _MM_SHUFFLE(1, 0, 3, 2));
return _mm_add_ps(vTemp, vTemp2);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorAddAngles
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
const XMVECTOR Zero = XMVectorZero();
// Add the given angles together. If the range of V1 is such
// that -Pi <= V1 < Pi and the range of V2 is such that
// -2Pi <= V2 <= 2Pi, then the range of the resulting angle
// will be -Pi <= Result < Pi.
XMVECTOR Result = XMVectorAdd(V1, V2);
XMVECTOR Mask = XMVectorLess(Result, g_XMNegativePi.v);
XMVECTOR Offset = XMVectorSelect(Zero, g_XMTwoPi.v, Mask);
Mask = XMVectorGreaterOrEqual(Result, g_XMPi.v);
Offset = XMVectorSelect(Offset, g_XMNegativeTwoPi.v, Mask);
Result = XMVectorAdd(Result, Offset);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Adjust the angles
XMVECTOR vResult = vaddq_f32(V1,V2);
// Less than Pi?
uint32x4_t vOffset = vcltq_f32(vResult,g_XMNegativePi);
vOffset = vandq_u32(vOffset,g_XMTwoPi);
// Add 2Pi to all entries less than -Pi
vResult = vaddq_f32(vResult,vOffset);
// Greater than or equal to Pi?
vOffset = vcgeq_f32(vResult,g_XMPi);
vOffset = vandq_u32(vOffset,g_XMTwoPi);
// Sub 2Pi to all entries greater than Pi
vResult = vsubq_f32(vResult,vOffset);
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
// Adjust the angles
XMVECTOR vResult = _mm_add_ps(V1,V2);
// Less than Pi?
XMVECTOR vOffset = _mm_cmplt_ps(vResult,g_XMNegativePi);
vOffset = _mm_and_ps(vOffset,g_XMTwoPi);
// Add 2Pi to all entries less than -Pi
vResult = _mm_add_ps(vResult,vOffset);
// Greater than or equal to Pi?
vOffset = _mm_cmpge_ps(vResult,g_XMPi);
vOffset = _mm_and_ps(vOffset,g_XMTwoPi);
// Sub 2Pi to all entries greater than Pi
vResult = _mm_sub_ps(vResult,vOffset);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorSubtract
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
V1.vector4_f32[0] - V2.vector4_f32[0],
V1.vector4_f32[1] - V2.vector4_f32[1],
V1.vector4_f32[2] - V2.vector4_f32[2],
V1.vector4_f32[3] - V2.vector4_f32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vsubq_f32( V1, V2 );
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_sub_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorSubtractAngles
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
const XMVECTOR Zero = XMVectorZero();
// Subtract the given angles. If the range of V1 is such
// that -Pi <= V1 < Pi and the range of V2 is such that
// -2Pi <= V2 <= 2Pi, then the range of the resulting angle
// will be -Pi <= Result < Pi.
XMVECTOR Result = XMVectorSubtract(V1, V2);
XMVECTOR Mask = XMVectorLess(Result, g_XMNegativePi.v);
XMVECTOR Offset = XMVectorSelect(Zero, g_XMTwoPi.v, Mask);
Mask = XMVectorGreaterOrEqual(Result, g_XMPi.v);
Offset = XMVectorSelect(Offset, g_XMNegativeTwoPi.v, Mask);
Result = XMVectorAdd(Result, Offset);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Adjust the angles
XMVECTOR vResult = vsubq_f32(V1,V2);
// Less than Pi?
uint32x4_t vOffset = vcltq_f32(vResult,g_XMNegativePi);
vOffset = vandq_u32(vOffset,g_XMTwoPi);
// Add 2Pi to all entries less than -Pi
vResult = vaddq_f32(vResult,vOffset);
// Greater than or equal to Pi?
vOffset = vcgeq_f32(vResult,g_XMPi);
vOffset = vandq_u32(vOffset,g_XMTwoPi);
// Sub 2Pi to all entries greater than Pi
vResult = vsubq_f32(vResult,vOffset);
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
// Adjust the angles
XMVECTOR vResult = _mm_sub_ps(V1,V2);
// Less than Pi?
XMVECTOR vOffset = _mm_cmplt_ps(vResult,g_XMNegativePi);
vOffset = _mm_and_ps(vOffset,g_XMTwoPi);
// Add 2Pi to all entries less than -Pi
vResult = _mm_add_ps(vResult,vOffset);
// Greater than or equal to Pi?
vOffset = _mm_cmpge_ps(vResult,g_XMPi);
vOffset = _mm_and_ps(vOffset,g_XMTwoPi);
// Sub 2Pi to all entries greater than Pi
vResult = _mm_sub_ps(vResult,vOffset);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorMultiply
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
V1.vector4_f32[0] * V2.vector4_f32[0],
V1.vector4_f32[1] * V2.vector4_f32[1],
V1.vector4_f32[2] * V2.vector4_f32[2],
V1.vector4_f32[3] * V2.vector4_f32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vmulq_f32( V1, V2 );
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_mul_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorMultiplyAdd
(
FXMVECTOR V1,
FXMVECTOR V2,
FXMVECTOR V3
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
V1.vector4_f32[0] * V2.vector4_f32[0] + V3.vector4_f32[0],
V1.vector4_f32[1] * V2.vector4_f32[1] + V3.vector4_f32[1],
V1.vector4_f32[2] * V2.vector4_f32[2] + V3.vector4_f32[2],
V1.vector4_f32[3] * V2.vector4_f32[3] + V3.vector4_f32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
return vfmaq_f32( V3, V1, V2 );
#else
return vmlaq_f32( V3, V1, V2 );
#endif
#elif defined(_XM_FMA3_INTRINSICS_)
return _mm_fmadd_ps( V1, V2, V3 );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = _mm_mul_ps( V1, V2 );
return _mm_add_ps(vResult, V3 );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorDivide
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
V1.vector4_f32[0] / V2.vector4_f32[0],
V1.vector4_f32[1] / V2.vector4_f32[1],
V1.vector4_f32[2] / V2.vector4_f32[2],
V1.vector4_f32[3] / V2.vector4_f32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
return vdivq_f32( V1, V2 );
#else
// 2 iterations of Newton-Raphson refinement of reciprocal
float32x4_t Reciprocal = vrecpeq_f32(V2);
float32x4_t S = vrecpsq_f32( Reciprocal, V2 );
Reciprocal = vmulq_f32( S, Reciprocal );
S = vrecpsq_f32( Reciprocal, V2 );
Reciprocal = vmulq_f32( S, Reciprocal );
return vmulq_f32( V1, Reciprocal );
#endif
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_div_ps( V1, V2 );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorNegativeMultiplySubtract
(
FXMVECTOR V1,
FXMVECTOR V2,
FXMVECTOR V3
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
V3.vector4_f32[0] - (V1.vector4_f32[0] * V2.vector4_f32[0]),
V3.vector4_f32[1] - (V1.vector4_f32[1] * V2.vector4_f32[1]),
V3.vector4_f32[2] - (V1.vector4_f32[2] * V2.vector4_f32[2]),
V3.vector4_f32[3] - (V1.vector4_f32[3] * V2.vector4_f32[3])
} } };
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
return vfmsq_f32( V3, V1, V2 );
#else
return vmlsq_f32( V3, V1, V2 );
#endif
#elif defined(_XM_FMA3_INTRINSICS_)
return _mm_fnmadd_ps(V1, V2, V3);
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR R = _mm_mul_ps( V1, V2 );
return _mm_sub_ps( V3, R );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorScale
(
FXMVECTOR V,
float ScaleFactor
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
V.vector4_f32[0] * ScaleFactor,
V.vector4_f32[1] * ScaleFactor,
V.vector4_f32[2] * ScaleFactor,
V.vector4_f32[3] * ScaleFactor
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vmulq_n_f32( V, ScaleFactor );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = _mm_set_ps1(ScaleFactor);
return _mm_mul_ps(vResult,V);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorReciprocalEst
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
1.f / V.vector4_f32[0],
1.f / V.vector4_f32[1],
1.f / V.vector4_f32[2],
1.f / V.vector4_f32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vrecpeq_f32(V);
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_rcp_ps(V);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorReciprocal
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
1.f / V.vector4_f32[0],
1.f / V.vector4_f32[1],
1.f / V.vector4_f32[2],
1.f / V.vector4_f32[3]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
float32x4_t one = vdupq_n_f32(1.0f);
return vdivq_f32(one,V);
#else
// 2 iterations of Newton-Raphson refinement
float32x4_t Reciprocal = vrecpeq_f32(V);
float32x4_t S = vrecpsq_f32( Reciprocal, V );
Reciprocal = vmulq_f32( S, Reciprocal );
S = vrecpsq_f32( Reciprocal, V );
return vmulq_f32( S, Reciprocal );
#endif
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_div_ps(g_XMOne,V);
#endif
}
//------------------------------------------------------------------------------
// Return an estimated square root
inline XMVECTOR XM_CALLCONV XMVectorSqrtEst
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
sqrtf(V.vector4_f32[0]),
sqrtf(V.vector4_f32[1]),
sqrtf(V.vector4_f32[2]),
sqrtf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// 1 iteration of Newton-Raphson refinment of sqrt
float32x4_t S0 = vrsqrteq_f32(V);
float32x4_t P0 = vmulq_f32( V, S0 );
float32x4_t R0 = vrsqrtsq_f32( P0, S0 );
float32x4_t S1 = vmulq_f32( S0, R0 );
XMVECTOR VEqualsInfinity = XMVectorEqualInt(V, g_XMInfinity.v);
XMVECTOR VEqualsZero = XMVectorEqual(V, vdupq_n_f32(0) );
XMVECTOR Result = vmulq_f32( V, S1 );
XMVECTOR Select = XMVectorEqualInt(VEqualsInfinity, VEqualsZero);
return XMVectorSelect(V, Result, Select);
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_sqrt_ps(V);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorSqrt
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
sqrtf(V.vector4_f32[0]),
sqrtf(V.vector4_f32[1]),
sqrtf(V.vector4_f32[2]),
sqrtf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// 3 iterations of Newton-Raphson refinment of sqrt
float32x4_t S0 = vrsqrteq_f32(V);
float32x4_t P0 = vmulq_f32( V, S0 );
float32x4_t R0 = vrsqrtsq_f32( P0, S0 );
float32x4_t S1 = vmulq_f32( S0, R0 );
float32x4_t P1 = vmulq_f32( V, S1 );
float32x4_t R1 = vrsqrtsq_f32( P1, S1 );
float32x4_t S2 = vmulq_f32( S1, R1 );
float32x4_t P2 = vmulq_f32( V, S2 );
float32x4_t R2 = vrsqrtsq_f32( P2, S2 );
float32x4_t S3 = vmulq_f32( S2, R2 );
XMVECTOR VEqualsInfinity = XMVectorEqualInt(V, g_XMInfinity.v);
XMVECTOR VEqualsZero = XMVectorEqual(V, vdupq_n_f32(0) );
XMVECTOR Result = vmulq_f32( V, S3 );
XMVECTOR Select = XMVectorEqualInt(VEqualsInfinity, VEqualsZero);
return XMVectorSelect(V, Result, Select);
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_sqrt_ps(V);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorReciprocalSqrtEst
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
1.f / sqrtf(V.vector4_f32[0]),
1.f / sqrtf(V.vector4_f32[1]),
1.f / sqrtf(V.vector4_f32[2]),
1.f / sqrtf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vrsqrteq_f32(V);
#elif defined(_XM_SSE_INTRINSICS_)
return _mm_rsqrt_ps(V);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorReciprocalSqrt
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
1.f / sqrtf(V.vector4_f32[0]),
1.f / sqrtf(V.vector4_f32[1]),
1.f / sqrtf(V.vector4_f32[2]),
1.f / sqrtf(V.vector4_f32[3])
} } };
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// 2 iterations of Newton-Raphson refinement of reciprocal
float32x4_t S0 = vrsqrteq_f32(V);
float32x4_t P0 = vmulq_f32( V, S0 );
float32x4_t R0 = vrsqrtsq_f32( P0, S0 );
float32x4_t S1 = vmulq_f32( S0, R0 );
float32x4_t P1 = vmulq_f32( V, S1 );
float32x4_t R1 = vrsqrtsq_f32( P1, S1 );
return vmulq_f32( S1, R1 );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = _mm_sqrt_ps(V);
vResult = _mm_div_ps(g_XMOne,vResult);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorExp2
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
powf(2.0f, V.vector4_f32[0]),
powf(2.0f, V.vector4_f32[1]),
powf(2.0f, V.vector4_f32[2]),
powf(2.0f, V.vector4_f32[3])
} } };
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
int32x4_t itrunc = vcvtq_s32_f32(V);
float32x4_t ftrunc = vcvtq_f32_s32(itrunc);
float32x4_t y = vsubq_f32(V, ftrunc);
float32x4_t poly = vmlaq_f32( g_XMExpEst6, g_XMExpEst7, y );
poly = vmlaq_f32( g_XMExpEst5, poly, y );
poly = vmlaq_f32( g_XMExpEst4, poly, y );
poly = vmlaq_f32( g_XMExpEst3, poly, y );
poly = vmlaq_f32( g_XMExpEst2, poly, y );
poly = vmlaq_f32( g_XMExpEst1, poly, y );
poly = vmlaq_f32( g_XMOne, poly, y );
int32x4_t biased = vaddq_s32(itrunc, g_XMExponentBias);
biased = vshlq_n_s32(biased, 23);
float32x4_t result0 = XMVectorDivide(biased, poly);
biased = vaddq_s32(itrunc, g_XM253);
biased = vshlq_n_s32(biased, 23);
float32x4_t result1 = XMVectorDivide(biased, poly);
result1 = vmulq_f32(g_XMMinNormal.v, result1);
// Use selection to handle the cases
// if (V is NaN) -> QNaN;
// else if (V sign bit set)
// if (V > -150)
// if (V.exponent < -126) -> result1
// else -> result0
// else -> +0
// else
// if (V < 128) -> result0
// else -> +inf
int32x4_t comp = vcltq_s32( V, g_XMBin128);
float32x4_t result2 = vbslq_f32( comp, result0, g_XMInfinity );
comp = vcltq_s32(itrunc, g_XMSubnormalExponent);
float32x4_t result3 = vbslq_f32( comp, result1, result0 );
comp = vcltq_s32(V, g_XMBinNeg150);
float32x4_t result4 = vbslq_f32( comp, result3, g_XMZero );
int32x4_t sign = vandq_s32(V, g_XMNegativeZero);
comp = vceqq_s32(sign, g_XMNegativeZero);
float32x4_t result5 = vbslq_f32( comp, result4, result2 );
int32x4_t t0 = vandq_s32(V, g_XMQNaNTest);
int32x4_t t1 = vandq_s32(V, g_XMInfinity);
t0 = vceqq_s32(t0, g_XMZero);
t1 = vceqq_s32(t1, g_XMInfinity);
int32x4_t isNaN = vbicq_s32( t1,t0);
float32x4_t vResult = vbslq_f32( isNaN, g_XMQNaN, result5 );
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
__m128i itrunc = _mm_cvttps_epi32(V);
__m128 ftrunc = _mm_cvtepi32_ps(itrunc);
__m128 y = _mm_sub_ps(V, ftrunc);
__m128 poly = _mm_mul_ps(g_XMExpEst7, y);
poly = _mm_add_ps(g_XMExpEst6, poly);
poly = _mm_mul_ps(poly, y);
poly = _mm_add_ps(g_XMExpEst5, poly);
poly = _mm_mul_ps(poly, y);
poly = _mm_add_ps(g_XMExpEst4, poly);
poly = _mm_mul_ps(poly, y);
poly = _mm_add_ps(g_XMExpEst3, poly);
poly = _mm_mul_ps(poly, y);
poly = _mm_add_ps(g_XMExpEst2, poly);
poly = _mm_mul_ps(poly, y);
poly = _mm_add_ps(g_XMExpEst1, poly);
poly = _mm_mul_ps(poly, y);
poly = _mm_add_ps(g_XMOne, poly);
__m128i biased = _mm_add_epi32(itrunc, g_XMExponentBias);
biased = _mm_slli_epi32(biased, 23);
__m128 result0 = _mm_div_ps(_mm_castsi128_ps(biased), poly);
biased = _mm_add_epi32(itrunc, g_XM253);
biased = _mm_slli_epi32(biased, 23);
__m128 result1 = _mm_div_ps(_mm_castsi128_ps(biased), poly);
result1 = _mm_mul_ps(g_XMMinNormal.v, result1);
// Use selection to handle the cases
// if (V is NaN) -> QNaN;
// else if (V sign bit set)
// if (V > -150)
// if (V.exponent < -126) -> result1
// else -> result0
// else -> +0
// else
// if (V < 128) -> result0
// else -> +inf
__m128i comp = _mm_cmplt_epi32( _mm_castps_si128(V), g_XMBin128);
__m128i select0 = _mm_and_si128(comp, _mm_castps_si128(result0));
__m128i select1 = _mm_andnot_si128(comp, g_XMInfinity);
__m128i result2 = _mm_or_si128(select0, select1);
comp = _mm_cmplt_epi32(itrunc, g_XMSubnormalExponent);
select1 = _mm_and_si128(comp, _mm_castps_si128(result1));
select0 = _mm_andnot_si128(comp, _mm_castps_si128(result0));
__m128i result3 = _mm_or_si128(select0, select1);
comp = _mm_cmplt_epi32(_mm_castps_si128(V), g_XMBinNeg150);
select0 = _mm_and_si128(comp, result3);
select1 = _mm_andnot_si128(comp, g_XMZero);
__m128i result4 = _mm_or_si128(select0, select1);
__m128i sign = _mm_and_si128(_mm_castps_si128(V), g_XMNegativeZero);
comp = _mm_cmpeq_epi32(sign, g_XMNegativeZero);
select0 = _mm_and_si128(comp, result4);
select1 = _mm_andnot_si128(comp, result2);
__m128i result5 = _mm_or_si128(select0, select1);
__m128i t0 = _mm_and_si128(_mm_castps_si128(V), g_XMQNaNTest);
__m128i t1 = _mm_and_si128(_mm_castps_si128(V), g_XMInfinity);
t0 = _mm_cmpeq_epi32(t0, g_XMZero);
t1 = _mm_cmpeq_epi32(t1, g_XMInfinity);
__m128i isNaN = _mm_andnot_si128(t0, t1);
select0 = _mm_and_si128(isNaN, g_XMQNaN);
select1 = _mm_andnot_si128(isNaN, result5);
__m128i vResult = _mm_or_si128(select0, select1);
return _mm_castsi128_ps(vResult);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorExpE
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
expf(V.vector4_f32[0]),
expf(V.vector4_f32[1]),
expf(V.vector4_f32[2]),
expf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// expE(V) = exp2(vin*log2(e))
float32x4_t Ve = vmulq_f32(g_XMLgE, V);
int32x4_t itrunc = vcvtq_s32_f32(Ve);
float32x4_t ftrunc = vcvtq_f32_s32(itrunc);
float32x4_t y = vsubq_f32(Ve, ftrunc);
float32x4_t poly = vmlaq_f32( g_XMExpEst6, g_XMExpEst7, y );
poly = vmlaq_f32( g_XMExpEst5, poly, y );
poly = vmlaq_f32( g_XMExpEst4, poly, y );
poly = vmlaq_f32( g_XMExpEst3, poly, y );
poly = vmlaq_f32( g_XMExpEst2, poly, y );
poly = vmlaq_f32( g_XMExpEst1, poly, y );
poly = vmlaq_f32( g_XMOne, poly, y );
int32x4_t biased = vaddq_s32(itrunc, g_XMExponentBias);
biased = vshlq_n_s32(biased, 23);
float32x4_t result0 = XMVectorDivide(biased, poly);
biased = vaddq_s32(itrunc, g_XM253);
biased = vshlq_n_s32(biased, 23);
float32x4_t result1 = XMVectorDivide(biased, poly);
result1 = vmulq_f32(g_XMMinNormal.v, result1);
// Use selection to handle the cases
// if (V is NaN) -> QNaN;
// else if (V sign bit set)
// if (V > -150)
// if (V.exponent < -126) -> result1
// else -> result0
// else -> +0
// else
// if (V < 128) -> result0
// else -> +inf
int32x4_t comp = vcltq_s32( Ve, g_XMBin128);
float32x4_t result2 = vbslq_f32( comp, result0, g_XMInfinity );
comp = vcltq_s32(itrunc, g_XMSubnormalExponent);
float32x4_t result3 = vbslq_f32( comp, result1, result0 );
comp = vcltq_s32(Ve, g_XMBinNeg150);
float32x4_t result4 = vbslq_f32( comp, result3, g_XMZero );
int32x4_t sign = vandq_s32(Ve, g_XMNegativeZero);
comp = vceqq_s32(sign, g_XMNegativeZero);
float32x4_t result5 = vbslq_f32( comp, result4, result2 );
int32x4_t t0 = vandq_s32(Ve, g_XMQNaNTest);
int32x4_t t1 = vandq_s32(Ve, g_XMInfinity);
t0 = vceqq_s32(t0, g_XMZero);
t1 = vceqq_s32(t1, g_XMInfinity);
int32x4_t isNaN = vbicq_s32( t1,t0);
float32x4_t vResult = vbslq_f32( isNaN, g_XMQNaN, result5 );
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
// expE(V) = exp2(vin*log2(e))
__m128 Ve = _mm_mul_ps(g_XMLgE, V);
__m128i itrunc = _mm_cvttps_epi32(Ve);
__m128 ftrunc = _mm_cvtepi32_ps(itrunc);
__m128 y = _mm_sub_ps(Ve, ftrunc);
__m128 poly = _mm_mul_ps(g_XMExpEst7, y);
poly = _mm_add_ps(g_XMExpEst6, poly);
poly = _mm_mul_ps(poly, y);
poly = _mm_add_ps(g_XMExpEst5, poly);
poly = _mm_mul_ps(poly, y);
poly = _mm_add_ps(g_XMExpEst4, poly);
poly = _mm_mul_ps(poly, y);
poly = _mm_add_ps(g_XMExpEst3, poly);
poly = _mm_mul_ps(poly, y);
poly = _mm_add_ps(g_XMExpEst2, poly);
poly = _mm_mul_ps(poly, y);
poly = _mm_add_ps(g_XMExpEst1, poly);
poly = _mm_mul_ps(poly, y);
poly = _mm_add_ps(g_XMOne, poly);
__m128i biased = _mm_add_epi32(itrunc, g_XMExponentBias);
biased = _mm_slli_epi32(biased, 23);
__m128 result0 = _mm_div_ps(_mm_castsi128_ps(biased), poly);
biased = _mm_add_epi32(itrunc, g_XM253);
biased = _mm_slli_epi32(biased, 23);
__m128 result1 = _mm_div_ps(_mm_castsi128_ps(biased), poly);
result1 = _mm_mul_ps(g_XMMinNormal.v, result1);
// Use selection to handle the cases
// if (V is NaN) -> QNaN;
// else if (V sign bit set)
// if (V > -150)
// if (V.exponent < -126) -> result1
// else -> result0
// else -> +0
// else
// if (V < 128) -> result0
// else -> +inf
__m128i comp = _mm_cmplt_epi32( _mm_castps_si128(Ve), g_XMBin128);
__m128i select0 = _mm_and_si128(comp, _mm_castps_si128(result0));
__m128i select1 = _mm_andnot_si128(comp, g_XMInfinity);
__m128i result2 = _mm_or_si128(select0, select1);
comp = _mm_cmplt_epi32(itrunc, g_XMSubnormalExponent);
select1 = _mm_and_si128(comp, _mm_castps_si128(result1));
select0 = _mm_andnot_si128(comp, _mm_castps_si128(result0));
__m128i result3 = _mm_or_si128(select0, select1);
comp = _mm_cmplt_epi32(_mm_castps_si128(Ve), g_XMBinNeg150);
select0 = _mm_and_si128(comp, result3);
select1 = _mm_andnot_si128(comp, g_XMZero);
__m128i result4 = _mm_or_si128(select0, select1);
__m128i sign = _mm_and_si128(_mm_castps_si128(Ve), g_XMNegativeZero);
comp = _mm_cmpeq_epi32(sign, g_XMNegativeZero);
select0 = _mm_and_si128(comp, result4);
select1 = _mm_andnot_si128(comp, result2);
__m128i result5 = _mm_or_si128(select0, select1);
__m128i t0 = _mm_and_si128(_mm_castps_si128(Ve), g_XMQNaNTest);
__m128i t1 = _mm_and_si128(_mm_castps_si128(Ve), g_XMInfinity);
t0 = _mm_cmpeq_epi32(t0, g_XMZero);
t1 = _mm_cmpeq_epi32(t1, g_XMInfinity);
__m128i isNaN = _mm_andnot_si128(t0, t1);
select0 = _mm_and_si128(isNaN, g_XMQNaN);
select1 = _mm_andnot_si128(isNaN, result5);
__m128i vResult = _mm_or_si128(select0, select1);
return _mm_castsi128_ps(vResult);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorExp
(
FXMVECTOR V
)
{
return XMVectorExp2(V);
}
//------------------------------------------------------------------------------
#if defined(_XM_SSE_INTRINSICS_)
namespace Internal
{
inline __m128i multi_sll_epi32(__m128i value, __m128i count)
{
__m128i v = _mm_shuffle_epi32(value, _MM_SHUFFLE(0,0,0,0));
__m128i c = _mm_shuffle_epi32(count, _MM_SHUFFLE(0,0,0,0));
c = _mm_and_si128(c, g_XMMaskX);
__m128i r0 = _mm_sll_epi32(v, c);
v = _mm_shuffle_epi32(value, _MM_SHUFFLE(1,1,1,1));
c = _mm_shuffle_epi32(count, _MM_SHUFFLE(1,1,1,1));
c = _mm_and_si128(c, g_XMMaskX);
__m128i r1 = _mm_sll_epi32(v, c);
v = _mm_shuffle_epi32(value, _MM_SHUFFLE(2,2,2,2));
c = _mm_shuffle_epi32(count, _MM_SHUFFLE(2,2,2,2));
c = _mm_and_si128(c, g_XMMaskX);
__m128i r2 = _mm_sll_epi32(v, c);
v = _mm_shuffle_epi32(value, _MM_SHUFFLE(3,3,3,3));
c = _mm_shuffle_epi32(count, _MM_SHUFFLE(3,3,3,3));
c = _mm_and_si128(c, g_XMMaskX);
__m128i r3 = _mm_sll_epi32(v, c);
// (r0,r0,r1,r1)
__m128 r01 = _mm_shuffle_ps(_mm_castsi128_ps(r0), _mm_castsi128_ps(r1), _MM_SHUFFLE(0,0,0,0));
// (r2,r2,r3,r3)
__m128 r23 = _mm_shuffle_ps(_mm_castsi128_ps(r2), _mm_castsi128_ps(r3), _MM_SHUFFLE(0,0,0,0));
// (r0,r1,r2,r3)
__m128 result = _mm_shuffle_ps(r01, r23, _MM_SHUFFLE(2,0,2,0));
return _mm_castps_si128(result);
}
inline __m128i multi_srl_epi32(__m128i value, __m128i count)
{
__m128i v = _mm_shuffle_epi32(value, _MM_SHUFFLE(0,0,0,0));
__m128i c = _mm_shuffle_epi32(count, _MM_SHUFFLE(0,0,0,0));
c = _mm_and_si128(c, g_XMMaskX);
__m128i r0 = _mm_srl_epi32(v, c);
v = _mm_shuffle_epi32(value, _MM_SHUFFLE(1,1,1,1));
c = _mm_shuffle_epi32(count, _MM_SHUFFLE(1,1,1,1));
c = _mm_and_si128(c, g_XMMaskX);
__m128i r1 = _mm_srl_epi32(v, c);
v = _mm_shuffle_epi32(value, _MM_SHUFFLE(2,2,2,2));
c = _mm_shuffle_epi32(count, _MM_SHUFFLE(2,2,2,2));
c = _mm_and_si128(c, g_XMMaskX);
__m128i r2 = _mm_srl_epi32(v, c);
v = _mm_shuffle_epi32(value, _MM_SHUFFLE(3,3,3,3));
c = _mm_shuffle_epi32(count, _MM_SHUFFLE(3,3,3,3));
c = _mm_and_si128(c, g_XMMaskX);
__m128i r3 = _mm_srl_epi32(v, c);
// (r0,r0,r1,r1)
__m128 r01 = _mm_shuffle_ps(_mm_castsi128_ps(r0), _mm_castsi128_ps(r1), _MM_SHUFFLE(0,0,0,0));
// (r2,r2,r3,r3)
__m128 r23 = _mm_shuffle_ps(_mm_castsi128_ps(r2), _mm_castsi128_ps(r3), _MM_SHUFFLE(0,0,0,0));
// (r0,r1,r2,r3)
__m128 result = _mm_shuffle_ps(r01, r23, _MM_SHUFFLE(2,0,2,0));
return _mm_castps_si128(result);
}
inline __m128i GetLeadingBit(const __m128i value)
{
static const XMVECTORI32 g_XM0000FFFF = { { { 0x0000FFFF, 0x0000FFFF, 0x0000FFFF, 0x0000FFFF } } };
static const XMVECTORI32 g_XM000000FF = { { { 0x000000FF, 0x000000FF, 0x000000FF, 0x000000FF } } };
static const XMVECTORI32 g_XM0000000F = { { { 0x0000000F, 0x0000000F, 0x0000000F, 0x0000000F } } };
static const XMVECTORI32 g_XM00000003 = { { { 0x00000003, 0x00000003, 0x00000003, 0x00000003 } } };
__m128i v = value, r, c, b, s;
c = _mm_cmpgt_epi32(v, g_XM0000FFFF); // c = (v > 0xFFFF)
b = _mm_srli_epi32(c, 31); // b = (c ? 1 : 0)
r = _mm_slli_epi32(b, 4); // r = (b << 4)
v = multi_srl_epi32(v, r); // v = (v >> r)
c = _mm_cmpgt_epi32(v, g_XM000000FF); // c = (v > 0xFF)
b = _mm_srli_epi32(c, 31); // b = (c ? 1 : 0)
s = _mm_slli_epi32(b, 3); // s = (b << 3)
v = multi_srl_epi32(v, s); // v = (v >> s)
r = _mm_or_si128(r, s); // r = (r | s)
c = _mm_cmpgt_epi32(v, g_XM0000000F); // c = (v > 0xF)
b = _mm_srli_epi32(c, 31); // b = (c ? 1 : 0)
s = _mm_slli_epi32(b, 2); // s = (b << 2)
v = multi_srl_epi32(v, s); // v = (v >> s)
r = _mm_or_si128(r, s); // r = (r | s)
c = _mm_cmpgt_epi32(v, g_XM00000003); // c = (v > 0x3)
b = _mm_srli_epi32(c, 31); // b = (c ? 1 : 0)
s = _mm_slli_epi32(b, 1); // s = (b << 1)
v = multi_srl_epi32(v, s); // v = (v >> s)
r = _mm_or_si128(r, s); // r = (r | s)
s = _mm_srli_epi32(v, 1);
r = _mm_or_si128(r, s);
return r;
}
} // namespace Internal
#endif // _XM_SSE_INTRINSICS_
#if defined(_XM_ARM_NEON_INTRINSICS_)
namespace Internal
{
inline int32x4_t GetLeadingBit(const int32x4_t value)
{
static const XMVECTORI32 g_XM0000FFFF = { { { 0x0000FFFF, 0x0000FFFF, 0x0000FFFF, 0x0000FFFF } } };
static const XMVECTORI32 g_XM000000FF = { { { 0x000000FF, 0x000000FF, 0x000000FF, 0x000000FF } } };
static const XMVECTORI32 g_XM0000000F = { { { 0x0000000F, 0x0000000F, 0x0000000F, 0x0000000F } } };
static const XMVECTORI32 g_XM00000003 = { { { 0x00000003, 0x00000003, 0x00000003, 0x00000003 } } };
int32x4_t v = value, r, c, b, s;
c = vcgtq_s32(v, g_XM0000FFFF); // c = (v > 0xFFFF)
b = vshrq_n_u32(c, 31); // b = (c ? 1 : 0)
r = vshlq_n_s32(b, 4); // r = (b << 4)
r = vnegq_s32( r );
v = vshlq_u32( v, r ); // v = (v >> r)
c = vcgtq_s32(v, g_XM000000FF); // c = (v > 0xFF)
b = vshrq_n_u32(c, 31); // b = (c ? 1 : 0)
s = vshlq_n_s32(b, 3); // s = (b << 3)
s = vnegq_s32( s );
v = vshlq_u32(v, s); // v = (v >> s)
r = vorrq_s32(r, s); // r = (r | s)
c = vcgtq_s32(v, g_XM0000000F); // c = (v > 0xF)
b = vshrq_n_u32(c, 31); // b = (c ? 1 : 0)
s = vshlq_n_s32(b, 2); // s = (b << 2)
s = vnegq_s32( s );
v = vshlq_u32(v, s); // v = (v >> s)
r = vorrq_s32(r, s); // r = (r | s)
c = vcgtq_s32(v, g_XM00000003); // c = (v > 0x3)
b = vshrq_n_u32(c, 31); // b = (c ? 1 : 0)
s = vshlq_n_s32(b, 1); // s = (b << 1)
s = vnegq_s32( s );
v = vshlq_u32(v, s); // v = (v >> s)
r = vorrq_s32(r, s); // r = (r | s)
s = vshrq_n_u32(v, 1);
r = vorrq_s32(r, s);
return r;
}
} // namespace Internal
#endif
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorLog2
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
const float fScale = 1.4426950f; // (1.0f / logf(2.0f));
XMVECTORF32 Result = { { {
logf(V.vector4_f32[0])*fScale,
logf(V.vector4_f32[1])*fScale,
logf(V.vector4_f32[2])*fScale,
logf(V.vector4_f32[3])*fScale
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
int32x4_t rawBiased = vandq_s32(V, g_XMInfinity);
int32x4_t trailing = vandq_s32(V, g_XMQNaNTest);
int32x4_t isExponentZero = vceqq_s32(g_XMZero, rawBiased);
// Compute exponent and significand for normals.
int32x4_t biased = vshrq_n_u32(rawBiased, 23);
int32x4_t exponentNor = vsubq_s32(biased, g_XMExponentBias);
int32x4_t trailingNor = trailing;
// Compute exponent and significand for subnormals.
int32x4_t leading = Internal::GetLeadingBit(trailing);
int32x4_t shift = vsubq_s32(g_XMNumTrailing, leading);
int32x4_t exponentSub = vsubq_s32(g_XMSubnormalExponent, shift);
int32x4_t trailingSub = vshlq_u32(trailing, shift);
trailingSub = vandq_s32(trailingSub, g_XMQNaNTest);
int32x4_t e = vbslq_f32( isExponentZero, exponentSub, exponentNor );
int32x4_t t = vbslq_f32( isExponentZero, trailingSub, trailingNor );
// Compute the approximation.
int32x4_t tmp = vorrq_s32(g_XMOne, t);
float32x4_t y = vsubq_f32(tmp, g_XMOne);
float32x4_t log2 = vmlaq_f32( g_XMLogEst6, g_XMLogEst7, y );
log2 = vmlaq_f32( g_XMLogEst5, log2, y );
log2 = vmlaq_f32( g_XMLogEst4, log2, y );
log2 = vmlaq_f32( g_XMLogEst3, log2, y );
log2 = vmlaq_f32( g_XMLogEst2, log2, y );
log2 = vmlaq_f32( g_XMLogEst1, log2, y );
log2 = vmlaq_f32( g_XMLogEst0, log2, y );
log2 = vmlaq_f32( vcvtq_f32_s32(e), log2, y );
// if (x is NaN) -> QNaN
// else if (V is positive)
// if (V is infinite) -> +inf
// else -> log2(V)
// else
// if (V is zero) -> -inf
// else -> -QNaN
int32x4_t isInfinite = vandq_s32((V), g_XMAbsMask);
isInfinite = vceqq_s32(isInfinite, g_XMInfinity);
int32x4_t isGreaterZero = vcgtq_s32((V), g_XMZero);
int32x4_t isNotFinite = vcgtq_s32((V), g_XMInfinity);
int32x4_t isPositive = vbicq_s32( isGreaterZero,isNotFinite);
int32x4_t isZero = vandq_s32((V), g_XMAbsMask);
isZero = vceqq_s32(isZero, g_XMZero);
int32x4_t t0 = vandq_s32((V), g_XMQNaNTest);
int32x4_t t1 = vandq_s32((V), g_XMInfinity);
t0 = vceqq_s32(t0, g_XMZero);
t1 = vceqq_s32(t1, g_XMInfinity);
int32x4_t isNaN = vbicq_s32( t1,t0);
float32x4_t result = vbslq_f32( isInfinite, g_XMInfinity, log2 );
tmp = vbslq_f32( isZero, g_XMNegInfinity, g_XMNegQNaN );
result = vbslq_f32(isPositive, result, tmp);
result = vbslq_f32(isNaN, g_XMQNaN, result );
return result;
#elif defined(_XM_SSE_INTRINSICS_)
__m128i rawBiased = _mm_and_si128(_mm_castps_si128(V), g_XMInfinity);
__m128i trailing = _mm_and_si128(_mm_castps_si128(V), g_XMQNaNTest);
__m128i isExponentZero = _mm_cmpeq_epi32(g_XMZero, rawBiased);
// Compute exponent and significand for normals.
__m128i biased = _mm_srli_epi32(rawBiased, 23);
__m128i exponentNor = _mm_sub_epi32(biased, g_XMExponentBias);
__m128i trailingNor = trailing;
// Compute exponent and significand for subnormals.
__m128i leading = Internal::GetLeadingBit(trailing);
__m128i shift = _mm_sub_epi32(g_XMNumTrailing, leading);
__m128i exponentSub = _mm_sub_epi32(g_XMSubnormalExponent, shift);
__m128i trailingSub = Internal::multi_sll_epi32(trailing, shift);
trailingSub = _mm_and_si128(trailingSub, g_XMQNaNTest);
__m128i select0 = _mm_and_si128(isExponentZero, exponentSub);
__m128i select1 = _mm_andnot_si128(isExponentZero, exponentNor);
__m128i e = _mm_or_si128(select0, select1);
select0 = _mm_and_si128(isExponentZero, trailingSub);
select1 = _mm_andnot_si128(isExponentZero, trailingNor);
__m128i t = _mm_or_si128(select0, select1);
// Compute the approximation.
__m128i tmp = _mm_or_si128(g_XMOne, t);
__m128 y = _mm_sub_ps(_mm_castsi128_ps(tmp), g_XMOne);
__m128 log2 = _mm_mul_ps(g_XMLogEst7, y);
log2 = _mm_add_ps(g_XMLogEst6, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(g_XMLogEst5, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(g_XMLogEst4, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(g_XMLogEst3, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(g_XMLogEst2, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(g_XMLogEst1, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(g_XMLogEst0, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(log2, _mm_cvtepi32_ps(e));
// if (x is NaN) -> QNaN
// else if (V is positive)
// if (V is infinite) -> +inf
// else -> log2(V)
// else
// if (V is zero) -> -inf
// else -> -QNaN
__m128i isInfinite = _mm_and_si128(_mm_castps_si128(V), g_XMAbsMask);
isInfinite = _mm_cmpeq_epi32(isInfinite, g_XMInfinity);
__m128i isGreaterZero = _mm_cmpgt_epi32(_mm_castps_si128(V), g_XMZero);
__m128i isNotFinite = _mm_cmpgt_epi32(_mm_castps_si128(V), g_XMInfinity);
__m128i isPositive = _mm_andnot_si128(isNotFinite, isGreaterZero);
__m128i isZero = _mm_and_si128(_mm_castps_si128(V), g_XMAbsMask);
isZero = _mm_cmpeq_epi32(isZero, g_XMZero);
__m128i t0 = _mm_and_si128(_mm_castps_si128(V), g_XMQNaNTest);
__m128i t1 = _mm_and_si128(_mm_castps_si128(V), g_XMInfinity);
t0 = _mm_cmpeq_epi32(t0, g_XMZero);
t1 = _mm_cmpeq_epi32(t1, g_XMInfinity);
__m128i isNaN = _mm_andnot_si128(t0, t1);
select0 = _mm_and_si128(isInfinite, g_XMInfinity);
select1 = _mm_andnot_si128(isInfinite, _mm_castps_si128(log2));
__m128i result = _mm_or_si128(select0, select1);
select0 = _mm_and_si128(isZero, g_XMNegInfinity);
select1 = _mm_andnot_si128(isZero, g_XMNegQNaN);
tmp = _mm_or_si128(select0, select1);
select0 = _mm_and_si128(isPositive, result);
select1 = _mm_andnot_si128(isPositive, tmp);
result = _mm_or_si128(select0, select1);
select0 = _mm_and_si128(isNaN, g_XMQNaN);
select1 = _mm_andnot_si128(isNaN, result);
result = _mm_or_si128(select0, select1);
return _mm_castsi128_ps(result);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorLogE
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
logf(V.vector4_f32[0]),
logf(V.vector4_f32[1]),
logf(V.vector4_f32[2]),
logf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
int32x4_t rawBiased = vandq_s32(V, g_XMInfinity);
int32x4_t trailing = vandq_s32(V, g_XMQNaNTest);
int32x4_t isExponentZero = vceqq_s32(g_XMZero, rawBiased);
// Compute exponent and significand for normals.
int32x4_t biased = vshrq_n_u32(rawBiased, 23);
int32x4_t exponentNor = vsubq_s32(biased, g_XMExponentBias);
int32x4_t trailingNor = trailing;
// Compute exponent and significand for subnormals.
int32x4_t leading = Internal::GetLeadingBit(trailing);
int32x4_t shift = vsubq_s32(g_XMNumTrailing, leading);
int32x4_t exponentSub = vsubq_s32(g_XMSubnormalExponent, shift);
int32x4_t trailingSub = vshlq_u32(trailing, shift);
trailingSub = vandq_s32(trailingSub, g_XMQNaNTest);
int32x4_t e = vbslq_f32( isExponentZero, exponentSub, exponentNor );
int32x4_t t = vbslq_f32( isExponentZero, trailingSub, trailingNor );
// Compute the approximation.
int32x4_t tmp = vorrq_s32(g_XMOne, t);
float32x4_t y = vsubq_f32(tmp, g_XMOne);
float32x4_t log2 = vmlaq_f32( g_XMLogEst6, g_XMLogEst7, y );
log2 = vmlaq_f32( g_XMLogEst5, log2, y );
log2 = vmlaq_f32( g_XMLogEst4, log2, y );
log2 = vmlaq_f32( g_XMLogEst3, log2, y );
log2 = vmlaq_f32( g_XMLogEst2, log2, y );
log2 = vmlaq_f32( g_XMLogEst1, log2, y );
log2 = vmlaq_f32( g_XMLogEst0, log2, y );
log2 = vmlaq_f32( vcvtq_f32_s32(e), log2, y );
log2 = vmulq_f32(g_XMInvLgE, log2);
// if (x is NaN) -> QNaN
// else if (V is positive)
// if (V is infinite) -> +inf
// else -> log2(V)
// else
// if (V is zero) -> -inf
// else -> -QNaN
int32x4_t isInfinite = vandq_s32((V), g_XMAbsMask);
isInfinite = vceqq_s32(isInfinite, g_XMInfinity);
int32x4_t isGreaterZero = vcgtq_s32((V), g_XMZero);
int32x4_t isNotFinite = vcgtq_s32((V), g_XMInfinity);
int32x4_t isPositive = vbicq_s32( isGreaterZero,isNotFinite);
int32x4_t isZero = vandq_s32((V), g_XMAbsMask);
isZero = vceqq_s32(isZero, g_XMZero);
int32x4_t t0 = vandq_s32((V), g_XMQNaNTest);
int32x4_t t1 = vandq_s32((V), g_XMInfinity);
t0 = vceqq_s32(t0, g_XMZero);
t1 = vceqq_s32(t1, g_XMInfinity);
int32x4_t isNaN = vbicq_s32( t1,t0);
float32x4_t result = vbslq_f32( isInfinite, g_XMInfinity, log2 );
tmp = vbslq_f32( isZero, g_XMNegInfinity, g_XMNegQNaN );
result = vbslq_f32(isPositive, result, tmp);
result = vbslq_f32(isNaN, g_XMQNaN, result );
return result;
#elif defined(_XM_SSE_INTRINSICS_)
__m128i rawBiased = _mm_and_si128(_mm_castps_si128(V), g_XMInfinity);
__m128i trailing = _mm_and_si128(_mm_castps_si128(V), g_XMQNaNTest);
__m128i isExponentZero = _mm_cmpeq_epi32(g_XMZero, rawBiased);
// Compute exponent and significand for normals.
__m128i biased = _mm_srli_epi32(rawBiased, 23);
__m128i exponentNor = _mm_sub_epi32(biased, g_XMExponentBias);
__m128i trailingNor = trailing;
// Compute exponent and significand for subnormals.
__m128i leading = Internal::GetLeadingBit(trailing);
__m128i shift = _mm_sub_epi32(g_XMNumTrailing, leading);
__m128i exponentSub = _mm_sub_epi32(g_XMSubnormalExponent, shift);
__m128i trailingSub = Internal::multi_sll_epi32(trailing, shift);
trailingSub = _mm_and_si128(trailingSub, g_XMQNaNTest);
__m128i select0 = _mm_and_si128(isExponentZero, exponentSub);
__m128i select1 = _mm_andnot_si128(isExponentZero, exponentNor);
__m128i e = _mm_or_si128(select0, select1);
select0 = _mm_and_si128(isExponentZero, trailingSub);
select1 = _mm_andnot_si128(isExponentZero, trailingNor);
__m128i t = _mm_or_si128(select0, select1);
// Compute the approximation.
__m128i tmp = _mm_or_si128(g_XMOne, t);
__m128 y = _mm_sub_ps(_mm_castsi128_ps(tmp), g_XMOne);
__m128 log2 = _mm_mul_ps(g_XMLogEst7, y);
log2 = _mm_add_ps(g_XMLogEst6, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(g_XMLogEst5, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(g_XMLogEst4, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(g_XMLogEst3, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(g_XMLogEst2, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(g_XMLogEst1, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(g_XMLogEst0, log2);
log2 = _mm_mul_ps(log2, y);
log2 = _mm_add_ps(log2, _mm_cvtepi32_ps(e));
log2 = _mm_mul_ps(g_XMInvLgE, log2);
// if (x is NaN) -> QNaN
// else if (V is positive)
// if (V is infinite) -> +inf
// else -> log2(V)
// else
// if (V is zero) -> -inf
// else -> -QNaN
__m128i isInfinite = _mm_and_si128(_mm_castps_si128(V), g_XMAbsMask);
isInfinite = _mm_cmpeq_epi32(isInfinite, g_XMInfinity);
__m128i isGreaterZero = _mm_cmpgt_epi32(_mm_castps_si128(V), g_XMZero);
__m128i isNotFinite = _mm_cmpgt_epi32(_mm_castps_si128(V), g_XMInfinity);
__m128i isPositive = _mm_andnot_si128(isNotFinite, isGreaterZero);
__m128i isZero = _mm_and_si128(_mm_castps_si128(V), g_XMAbsMask);
isZero = _mm_cmpeq_epi32(isZero, g_XMZero);
__m128i t0 = _mm_and_si128(_mm_castps_si128(V), g_XMQNaNTest);
__m128i t1 = _mm_and_si128(_mm_castps_si128(V), g_XMInfinity);
t0 = _mm_cmpeq_epi32(t0, g_XMZero);
t1 = _mm_cmpeq_epi32(t1, g_XMInfinity);
__m128i isNaN = _mm_andnot_si128(t0, t1);
select0 = _mm_and_si128(isInfinite, g_XMInfinity);
select1 = _mm_andnot_si128(isInfinite, _mm_castps_si128(log2));
__m128i result = _mm_or_si128(select0, select1);
select0 = _mm_and_si128(isZero, g_XMNegInfinity);
select1 = _mm_andnot_si128(isZero, g_XMNegQNaN);
tmp = _mm_or_si128(select0, select1);
select0 = _mm_and_si128(isPositive, result);
select1 = _mm_andnot_si128(isPositive, tmp);
result = _mm_or_si128(select0, select1);
select0 = _mm_and_si128(isNaN, g_XMQNaN);
select1 = _mm_andnot_si128(isNaN, result);
result = _mm_or_si128(select0, select1);
return _mm_castsi128_ps(result);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorLog
(
FXMVECTOR V
)
{
return XMVectorLog2(V);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorPow
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
powf(V1.vector4_f32[0], V2.vector4_f32[0]),
powf(V1.vector4_f32[1], V2.vector4_f32[1]),
powf(V1.vector4_f32[2], V2.vector4_f32[2]),
powf(V1.vector4_f32[3], V2.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
XMVECTORF32 vResult = { { {
powf(vgetq_lane_f32(V1, 0), vgetq_lane_f32(V2, 0)),
powf(vgetq_lane_f32(V1, 1), vgetq_lane_f32(V2, 1)),
powf(vgetq_lane_f32(V1, 2), vgetq_lane_f32(V2, 2)),
powf(vgetq_lane_f32(V1, 3), vgetq_lane_f32(V2, 3))
} } };
return vResult.v;
#elif defined(_XM_SSE_INTRINSICS_)
__declspec(align(16)) float a[4];
__declspec(align(16)) float b[4];
_mm_store_ps( a, V1 );
_mm_store_ps( b, V2 );
XMVECTOR vResult = _mm_setr_ps(
powf(a[0],b[0]),
powf(a[1],b[1]),
powf(a[2],b[2]),
powf(a[3],b[3]));
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorAbs
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 vResult = { { {
fabsf(V.vector4_f32[0]),
fabsf(V.vector4_f32[1]),
fabsf(V.vector4_f32[2]),
fabsf(V.vector4_f32[3])
} } };
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
return vabsq_f32( V );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = _mm_setzero_ps();
vResult = _mm_sub_ps(vResult,V);
vResult = _mm_max_ps(vResult,V);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorMod
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
// V1 % V2 = V1 - V2 * truncate(V1 / V2)
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Quotient = XMVectorDivide(V1, V2);
Quotient = XMVectorTruncate(Quotient);
XMVECTOR Result = XMVectorNegativeMultiplySubtract(V2, Quotient, V1);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
XMVECTOR vResult = XMVectorDivide(V1, V2);
vResult = XMVectorTruncate(vResult);
return vmlsq_f32( V1, vResult, V2 );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = _mm_div_ps(V1, V2);
vResult = XMVectorTruncate(vResult);
vResult = _mm_mul_ps(vResult,V2);
vResult = _mm_sub_ps(V1,vResult);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorModAngles
(
FXMVECTOR Angles
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR V;
XMVECTOR Result;
// Modulo the range of the given angles such that -XM_PI <= Angles < XM_PI
V = XMVectorMultiply(Angles, g_XMReciprocalTwoPi.v);
V = XMVectorRound(V);
Result = XMVectorNegativeMultiplySubtract(g_XMTwoPi.v, V, Angles);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Modulo the range of the given angles such that -XM_PI <= Angles < XM_PI
XMVECTOR vResult = vmulq_f32(Angles,g_XMReciprocalTwoPi);
// Use the inline function due to complexity for rounding
vResult = XMVectorRound(vResult);
return vmlsq_f32( Angles, vResult, g_XMTwoPi );
#elif defined(_XM_SSE_INTRINSICS_)
// Modulo the range of the given angles such that -XM_PI <= Angles < XM_PI
XMVECTOR vResult = _mm_mul_ps(Angles,g_XMReciprocalTwoPi);
// Use the inline function due to complexity for rounding
vResult = XMVectorRound(vResult);
vResult = _mm_mul_ps(vResult,g_XMTwoPi);
vResult = _mm_sub_ps(Angles,vResult);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorSin
(
FXMVECTOR V
)
{
// 11-degree minimax approximation
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
sinf(V.vector4_f32[0]),
sinf(V.vector4_f32[1]),
sinf(V.vector4_f32[2]),
sinf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Force the value within the bounds of pi
XMVECTOR x = XMVectorModAngles(V);
// Map in [-pi/2,pi/2] with sin(y) = sin(x).
uint32x4_t sign = vandq_u32(x, g_XMNegativeZero);
uint32x4_t c = vorrq_u32(g_XMPi, sign); // pi when x >= 0, -pi when x < 0
float32x4_t absx = vabsq_f32( x );
float32x4_t rflx = vsubq_f32(c, x);
uint32x4_t comp = vcleq_f32(absx, g_XMHalfPi);
x = vbslq_f32( comp, x, rflx );
float32x4_t x2 = vmulq_f32(x, x);
// Compute polynomial approximation
const XMVECTOR SC1 = g_XMSinCoefficients1;
const XMVECTOR SC0 = g_XMSinCoefficients0;
XMVECTOR vConstants = vdupq_lane_f32(vget_high_f32(SC0), 1);
XMVECTOR Result = vmlaq_lane_f32(vConstants, x2, vget_low_f32(SC1), 0);
vConstants = vdupq_lane_f32(vget_high_f32(SC0), 0);
Result = vmlaq_f32(vConstants, Result, x2);
vConstants = vdupq_lane_f32(vget_low_f32(SC0), 1);
Result = vmlaq_f32(vConstants, Result, x2);
vConstants = vdupq_lane_f32(vget_low_f32(SC0), 0);
Result = vmlaq_f32(vConstants, Result, x2);
Result = vmlaq_f32(g_XMOne, Result, x2);
Result = vmulq_f32(Result, x);
return Result;
#elif defined(_XM_SSE_INTRINSICS_)
// Force the value within the bounds of pi
XMVECTOR x = XMVectorModAngles(V);
// Map in [-pi/2,pi/2] with sin(y) = sin(x).
__m128 sign = _mm_and_ps(x, g_XMNegativeZero);
__m128 c = _mm_or_ps(g_XMPi, sign); // pi when x >= 0, -pi when x < 0
__m128 absx = _mm_andnot_ps(sign, x); // |x|
__m128 rflx = _mm_sub_ps(c, x);
__m128 comp = _mm_cmple_ps(absx, g_XMHalfPi);
__m128 select0 = _mm_and_ps(comp, x);
__m128 select1 = _mm_andnot_ps(comp, rflx);
x = _mm_or_ps(select0, select1);
__m128 x2 = _mm_mul_ps(x, x);
// Compute polynomial approximation
const XMVECTOR SC1 = g_XMSinCoefficients1;
XMVECTOR vConstants = XM_PERMUTE_PS( SC1, _MM_SHUFFLE(0, 0, 0, 0) );
__m128 Result = _mm_mul_ps(vConstants, x2);
const XMVECTOR SC0 = g_XMSinCoefficients0;
vConstants = XM_PERMUTE_PS( SC0, _MM_SHUFFLE(3, 3, 3, 3) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( SC0, _MM_SHUFFLE(2, 2, 2, 2) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( SC0, _MM_SHUFFLE(1, 1, 1, 1) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( SC0, _MM_SHUFFLE(0, 0, 0, 0) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
Result = _mm_add_ps(Result, g_XMOne);
Result = _mm_mul_ps(Result, x);
return Result;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorCos
(
FXMVECTOR V
)
{
// 10-degree minimax approximation
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
cosf(V.vector4_f32[0]),
cosf(V.vector4_f32[1]),
cosf(V.vector4_f32[2]),
cosf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Map V to x in [-pi,pi].
XMVECTOR x = XMVectorModAngles(V);
// Map in [-pi/2,pi/2] with cos(y) = sign*cos(x).
uint32x4_t sign = vandq_u32(x, g_XMNegativeZero);
uint32x4_t c = vorrq_u32(g_XMPi, sign); // pi when x >= 0, -pi when x < 0
float32x4_t absx = vabsq_f32( x );
float32x4_t rflx = vsubq_f32(c, x);
uint32x4_t comp = vcleq_f32(absx, g_XMHalfPi);
x = vbslq_f32( comp, x, rflx );
sign = vbslq_f32( comp, g_XMOne, g_XMNegativeOne );
float32x4_t x2 = vmulq_f32(x, x);
// Compute polynomial approximation
const XMVECTOR CC1 = g_XMCosCoefficients1;
const XMVECTOR CC0 = g_XMCosCoefficients0;
XMVECTOR vConstants = vdupq_lane_f32(vget_high_f32(CC0), 1);
XMVECTOR Result = vmlaq_lane_f32(vConstants, x2, vget_low_f32(CC1), 0 );
vConstants = vdupq_lane_f32(vget_high_f32(CC0), 0);
Result = vmlaq_f32(vConstants, Result, x2);
vConstants = vdupq_lane_f32(vget_low_f32(CC0), 1);
Result = vmlaq_f32(vConstants, Result, x2);
vConstants = vdupq_lane_f32(vget_low_f32(CC0), 0);
Result = vmlaq_f32(vConstants, Result, x2);
Result = vmlaq_f32(g_XMOne, Result, x2);
Result = vmulq_f32(Result, sign);
return Result;
#elif defined(_XM_SSE_INTRINSICS_)
// Map V to x in [-pi,pi].
XMVECTOR x = XMVectorModAngles(V);
// Map in [-pi/2,pi/2] with cos(y) = sign*cos(x).
XMVECTOR sign = _mm_and_ps(x, g_XMNegativeZero);
__m128 c = _mm_or_ps(g_XMPi, sign); // pi when x >= 0, -pi when x < 0
__m128 absx = _mm_andnot_ps(sign, x); // |x|
__m128 rflx = _mm_sub_ps(c, x);
__m128 comp = _mm_cmple_ps(absx, g_XMHalfPi);
__m128 select0 = _mm_and_ps(comp, x);
__m128 select1 = _mm_andnot_ps(comp, rflx);
x = _mm_or_ps(select0, select1);
select0 = _mm_and_ps(comp, g_XMOne);
select1 = _mm_andnot_ps(comp, g_XMNegativeOne);
sign = _mm_or_ps(select0, select1);
__m128 x2 = _mm_mul_ps(x, x);
// Compute polynomial approximation
const XMVECTOR CC1 = g_XMCosCoefficients1;
XMVECTOR vConstants = XM_PERMUTE_PS( CC1, _MM_SHUFFLE(0, 0, 0, 0) );
__m128 Result = _mm_mul_ps(vConstants, x2);
const XMVECTOR CC0 = g_XMCosCoefficients0;
vConstants = XM_PERMUTE_PS( CC0, _MM_SHUFFLE(3, 3, 3, 3) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( CC0, _MM_SHUFFLE(2, 2, 2, 2) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( CC0, _MM_SHUFFLE(1, 1, 1, 1) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( CC0, _MM_SHUFFLE(0, 0, 0, 0) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
Result = _mm_add_ps(Result, g_XMOne);
Result = _mm_mul_ps(Result, sign);
return Result;
#endif
}
//------------------------------------------------------------------------------
_Use_decl_annotations_
inline void XM_CALLCONV XMVectorSinCos
(
XMVECTOR* pSin,
XMVECTOR* pCos,
FXMVECTOR V
)
{
assert(pSin != nullptr);
assert(pCos != nullptr);
// 11/10-degree minimax approximation
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Sin = { { {
sinf(V.vector4_f32[0]),
sinf(V.vector4_f32[1]),
sinf(V.vector4_f32[2]),
sinf(V.vector4_f32[3])
} } };
XMVECTORF32 Cos = { { {
cosf(V.vector4_f32[0]),
cosf(V.vector4_f32[1]),
cosf(V.vector4_f32[2]),
cosf(V.vector4_f32[3])
} } };
*pSin = Sin.v;
*pCos = Cos.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Force the value within the bounds of pi
XMVECTOR x = XMVectorModAngles(V);
// Map in [-pi/2,pi/2] with cos(y) = sign*cos(x).
uint32x4_t sign = vandq_u32(x, g_XMNegativeZero);
uint32x4_t c = vorrq_u32(g_XMPi, sign); // pi when x >= 0, -pi when x < 0
float32x4_t absx = vabsq_f32( x );
float32x4_t rflx = vsubq_f32(c, x);
uint32x4_t comp = vcleq_f32(absx, g_XMHalfPi);
x = vbslq_f32( comp, x, rflx );
sign = vbslq_f32( comp, g_XMOne, g_XMNegativeOne );
float32x4_t x2 = vmulq_f32(x, x);
// Compute polynomial approximation for sine
const XMVECTOR SC1 = g_XMSinCoefficients1;
const XMVECTOR SC0 = g_XMSinCoefficients0;
XMVECTOR vConstants = vdupq_lane_f32(vget_high_f32(SC0), 1);
XMVECTOR Result = vmlaq_lane_f32(vConstants, x2, vget_low_f32(SC1), 0);
vConstants = vdupq_lane_f32(vget_high_f32(SC0), 0);
Result = vmlaq_f32(vConstants, Result, x2);
vConstants = vdupq_lane_f32(vget_low_f32(SC0), 1);
Result = vmlaq_f32(vConstants, Result, x2);
vConstants = vdupq_lane_f32(vget_low_f32(SC0), 0);
Result = vmlaq_f32(vConstants, Result, x2);
Result = vmlaq_f32(g_XMOne, Result, x2);
*pSin = vmulq_f32(Result, x);
// Compute polynomial approximation for cosine
const XMVECTOR CC1 = g_XMCosCoefficients1;
const XMVECTOR CC0 = g_XMCosCoefficients0;
vConstants = vdupq_lane_f32(vget_high_f32(CC0), 1);
Result = vmlaq_lane_f32(vConstants, x2, vget_low_f32(CC1), 0);
vConstants = vdupq_lane_f32(vget_high_f32(CC0), 0);
Result = vmlaq_f32(vConstants, Result, x2);
vConstants = vdupq_lane_f32(vget_low_f32(CC0), 1);
Result = vmlaq_f32(vConstants, Result, x2);
vConstants = vdupq_lane_f32(vget_low_f32(CC0), 0);
Result = vmlaq_f32(vConstants, Result, x2);
Result = vmlaq_f32(g_XMOne, Result, x2);
*pCos = vmulq_f32(Result, sign);
#elif defined(_XM_SSE_INTRINSICS_)
// Force the value within the bounds of pi
XMVECTOR x = XMVectorModAngles(V);
// Map in [-pi/2,pi/2] with sin(y) = sin(x), cos(y) = sign*cos(x).
XMVECTOR sign = _mm_and_ps(x, g_XMNegativeZero);
__m128 c = _mm_or_ps(g_XMPi, sign); // pi when x >= 0, -pi when x < 0
__m128 absx = _mm_andnot_ps(sign, x); // |x|
__m128 rflx = _mm_sub_ps(c, x);
__m128 comp = _mm_cmple_ps(absx, g_XMHalfPi);
__m128 select0 = _mm_and_ps(comp, x);
__m128 select1 = _mm_andnot_ps(comp, rflx);
x = _mm_or_ps(select0, select1);
select0 = _mm_and_ps(comp, g_XMOne);
select1 = _mm_andnot_ps(comp, g_XMNegativeOne);
sign = _mm_or_ps(select0, select1);
__m128 x2 = _mm_mul_ps(x, x);
// Compute polynomial approximation of sine
const XMVECTOR SC1 = g_XMSinCoefficients1;
XMVECTOR vConstants = XM_PERMUTE_PS( SC1, _MM_SHUFFLE(0, 0, 0, 0) );
__m128 Result = _mm_mul_ps(vConstants, x2);
const XMVECTOR SC0 = g_XMSinCoefficients0;
vConstants = XM_PERMUTE_PS( SC0, _MM_SHUFFLE(3, 3, 3, 3) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( SC0, _MM_SHUFFLE(2, 2, 2, 2) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( SC0, _MM_SHUFFLE(1, 1, 1, 1) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( SC0, _MM_SHUFFLE(0, 0, 0, 0) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
Result = _mm_add_ps(Result, g_XMOne);
Result = _mm_mul_ps(Result, x);
*pSin = Result;
// Compute polynomial approximation of cosine
const XMVECTOR CC1 = g_XMCosCoefficients1;
vConstants = XM_PERMUTE_PS( CC1, _MM_SHUFFLE(0, 0, 0, 0) );
Result = _mm_mul_ps(vConstants, x2);
const XMVECTOR CC0 = g_XMCosCoefficients0;
vConstants = XM_PERMUTE_PS( CC0, _MM_SHUFFLE(3, 3, 3, 3) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( CC0, _MM_SHUFFLE(2, 2, 2, 2) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( CC0, _MM_SHUFFLE(1, 1, 1, 1) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( CC0, _MM_SHUFFLE(0, 0, 0, 0) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
Result = _mm_add_ps(Result, g_XMOne);
Result = _mm_mul_ps(Result, sign);
*pCos = Result;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorTan
(
FXMVECTOR V
)
{
// Cody and Waite algorithm to compute tangent.
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
tanf(V.vector4_f32[0]),
tanf(V.vector4_f32[1]),
tanf(V.vector4_f32[2]),
tanf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_SSE_INTRINSICS_) || defined(_XM_ARM_NEON_INTRINSICS_)
static const XMVECTORF32 TanCoefficients0 = { { { 1.0f, -4.667168334e-1f, 2.566383229e-2f, -3.118153191e-4f } } };
static const XMVECTORF32 TanCoefficients1 = { { { 4.981943399e-7f, -1.333835001e-1f, 3.424887824e-3f, -1.786170734e-5f } } };
static const XMVECTORF32 TanConstants = { { { 1.570796371f, 6.077100628e-11f, 0.000244140625f, 0.63661977228f /*2 / Pi*/ } } };
static const XMVECTORU32 Mask = { { { 0x1, 0x1, 0x1, 0x1 } } };
XMVECTOR TwoDivPi = XMVectorSplatW(TanConstants.v);
XMVECTOR Zero = XMVectorZero();
XMVECTOR C0 = XMVectorSplatX(TanConstants.v);
XMVECTOR C1 = XMVectorSplatY(TanConstants.v);
XMVECTOR Epsilon = XMVectorSplatZ(TanConstants.v);
XMVECTOR VA = XMVectorMultiply(V, TwoDivPi);
VA = XMVectorRound(VA);
XMVECTOR VC = XMVectorNegativeMultiplySubtract(VA, C0, V);
XMVECTOR VB = XMVectorAbs(VA);
VC = XMVectorNegativeMultiplySubtract(VA, C1, VC);
#if defined(_XM_ARM_NEON_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_)
VB = vcvtq_u32_f32( VB );
#elif defined(_XM_SSE_INTRINSICS_) && !defined(_XM_NO_INTRINSICS_)
reinterpret_cast<__m128i *>(&VB)[0] = _mm_cvttps_epi32(VB);
#else
for (size_t i = 0; i < 4; i++)
{
VB.vector4_u32[i] = (uint32_t)VB.vector4_f32[i];
}
#endif
XMVECTOR VC2 = XMVectorMultiply(VC, VC);
XMVECTOR T7 = XMVectorSplatW(TanCoefficients1.v);
XMVECTOR T6 = XMVectorSplatZ(TanCoefficients1.v);
XMVECTOR T4 = XMVectorSplatX(TanCoefficients1.v);
XMVECTOR T3 = XMVectorSplatW(TanCoefficients0.v);
XMVECTOR T5 = XMVectorSplatY(TanCoefficients1.v);
XMVECTOR T2 = XMVectorSplatZ(TanCoefficients0.v);
XMVECTOR T1 = XMVectorSplatY(TanCoefficients0.v);
XMVECTOR T0 = XMVectorSplatX(TanCoefficients0.v);
XMVECTOR VBIsEven = XMVectorAndInt(VB, Mask.v);
VBIsEven = XMVectorEqualInt(VBIsEven, Zero);
XMVECTOR N = XMVectorMultiplyAdd(VC2, T7, T6);
XMVECTOR D = XMVectorMultiplyAdd(VC2, T4, T3);
N = XMVectorMultiplyAdd(VC2, N, T5);
D = XMVectorMultiplyAdd(VC2, D, T2);
N = XMVectorMultiply(VC2, N);
D = XMVectorMultiplyAdd(VC2, D, T1);
N = XMVectorMultiplyAdd(VC, N, VC);
XMVECTOR VCNearZero = XMVectorInBounds(VC, Epsilon);
D = XMVectorMultiplyAdd(VC2, D, T0);
N = XMVectorSelect(N, VC, VCNearZero);
D = XMVectorSelect(D, g_XMOne.v, VCNearZero);
XMVECTOR R0 = XMVectorNegate(N);
XMVECTOR R1 = XMVectorDivide(N,D);
R0 = XMVectorDivide(D,R0);
XMVECTOR VIsZero = XMVectorEqual(V, Zero);
XMVECTOR Result = XMVectorSelect(R0, R1, VBIsEven);
Result = XMVectorSelect(Result, Zero, VIsZero);
return Result;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorSinH
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
sinhf(V.vector4_f32[0]),
sinhf(V.vector4_f32[1]),
sinhf(V.vector4_f32[2]),
sinhf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
static const XMVECTORF32 Scale = { { { 1.442695040888963f, 1.442695040888963f, 1.442695040888963f, 1.442695040888963f } } }; // 1.0f / ln(2.0f)
XMVECTOR V1 = vmlaq_f32( g_XMNegativeOne.v, V, Scale.v );
XMVECTOR V2 = vmlsq_f32( g_XMNegativeOne.v, V, Scale.v );
XMVECTOR E1 = XMVectorExp(V1);
XMVECTOR E2 = XMVectorExp(V2);
return vsubq_f32(E1, E2);
#elif defined(_XM_SSE_INTRINSICS_)
static const XMVECTORF32 Scale = { { { 1.442695040888963f, 1.442695040888963f, 1.442695040888963f, 1.442695040888963f } } }; // 1.0f / ln(2.0f)
XMVECTOR V1 = _mm_mul_ps(V, Scale);
V1 = _mm_add_ps(V1,g_XMNegativeOne);
XMVECTOR V2 = _mm_mul_ps(V, Scale);
V2 = _mm_sub_ps(g_XMNegativeOne,V2);
XMVECTOR E1 = XMVectorExp(V1);
XMVECTOR E2 = XMVectorExp(V2);
return _mm_sub_ps(E1, E2);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorCosH
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
coshf(V.vector4_f32[0]),
coshf(V.vector4_f32[1]),
coshf(V.vector4_f32[2]),
coshf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
static const XMVECTORF32 Scale = { { { 1.442695040888963f, 1.442695040888963f, 1.442695040888963f, 1.442695040888963f } } }; // 1.0f / ln(2.0f)
XMVECTOR V1 = vmlaq_f32(g_XMNegativeOne.v, V, Scale.v);
XMVECTOR V2 = vmlsq_f32(g_XMNegativeOne.v, V, Scale.v);
XMVECTOR E1 = XMVectorExp(V1);
XMVECTOR E2 = XMVectorExp(V2);
return vaddq_f32(E1, E2);
#elif defined(_XM_SSE_INTRINSICS_)
static const XMVECTORF32 Scale = { { { 1.442695040888963f, 1.442695040888963f, 1.442695040888963f, 1.442695040888963f } } }; // 1.0f / ln(2.0f)
XMVECTOR V1 = _mm_mul_ps(V,Scale.v);
V1 = _mm_add_ps(V1,g_XMNegativeOne.v);
XMVECTOR V2 = _mm_mul_ps(V, Scale.v);
V2 = _mm_sub_ps(g_XMNegativeOne.v,V2);
XMVECTOR E1 = XMVectorExp(V1);
XMVECTOR E2 = XMVectorExp(V2);
return _mm_add_ps(E1, E2);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorTanH
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
tanhf(V.vector4_f32[0]),
tanhf(V.vector4_f32[1]),
tanhf(V.vector4_f32[2]),
tanhf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
static const XMVECTORF32 Scale = { { { 2.8853900817779268f, 2.8853900817779268f, 2.8853900817779268f, 2.8853900817779268f } } }; // 2.0f / ln(2.0f)
XMVECTOR E = vmulq_f32(V, Scale.v);
E = XMVectorExp(E);
E = vmlaq_f32( g_XMOneHalf.v, E, g_XMOneHalf.v );
E = XMVectorReciprocal(E);
return vsubq_f32(g_XMOne.v, E);
#elif defined(_XM_SSE_INTRINSICS_)
static const XMVECTORF32 Scale = { { { 2.8853900817779268f, 2.8853900817779268f, 2.8853900817779268f, 2.8853900817779268f } } }; // 2.0f / ln(2.0f)
XMVECTOR E = _mm_mul_ps(V, Scale.v);
E = XMVectorExp(E);
E = _mm_mul_ps(E,g_XMOneHalf.v);
E = _mm_add_ps(E,g_XMOneHalf.v);
E = _mm_div_ps(g_XMOne.v,E);
return _mm_sub_ps(g_XMOne.v,E);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorASin
(
FXMVECTOR V
)
{
// 7-degree minimax approximation
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
asinf(V.vector4_f32[0]),
asinf(V.vector4_f32[1]),
asinf(V.vector4_f32[2]),
asinf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t nonnegative = vcgeq_f32(V, g_XMZero);
float32x4_t x = vabsq_f32(V);
// Compute (1-|V|), clamp to zero to avoid sqrt of negative number.
float32x4_t oneMValue = vsubq_f32(g_XMOne, x);
float32x4_t clampOneMValue = vmaxq_f32(g_XMZero, oneMValue);
float32x4_t root = XMVectorSqrt(clampOneMValue);
// Compute polynomial approximation
const XMVECTOR AC1 = g_XMArcCoefficients1;
XMVECTOR vConstants = vdupq_lane_f32(vget_high_f32(AC1), 0);
XMVECTOR t0 = vmlaq_lane_f32( vConstants, x, vget_high_f32(AC1), 1 );
vConstants = vdupq_lane_f32(vget_low_f32(AC1), 1);
t0 = vmlaq_f32( vConstants, t0, x );
vConstants = vdupq_lane_f32(vget_low_f32(AC1), 0);
t0 = vmlaq_f32( vConstants, t0, x );
const XMVECTOR AC0 = g_XMArcCoefficients0;
vConstants = vdupq_lane_f32(vget_high_f32(AC0), 1);
t0 = vmlaq_f32( vConstants, t0, x );
vConstants = vdupq_lane_f32(vget_high_f32(AC0), 0);
t0 = vmlaq_f32( vConstants, t0, x );
vConstants = vdupq_lane_f32(vget_low_f32(AC0), 1);
t0 = vmlaq_f32( vConstants, t0, x );
vConstants = vdupq_lane_f32(vget_low_f32(AC0), 0);
t0 = vmlaq_f32( vConstants, t0, x );
t0 = vmulq_f32(t0, root);
float32x4_t t1 = vsubq_f32(g_XMPi, t0);
t0 = vbslq_f32( nonnegative, t0, t1 );
t0 = vsubq_f32(g_XMHalfPi, t0);
return t0;
#elif defined(_XM_SSE_INTRINSICS_)
__m128 nonnegative = _mm_cmpge_ps(V, g_XMZero);
__m128 mvalue = _mm_sub_ps(g_XMZero, V);
__m128 x = _mm_max_ps(V, mvalue); // |V|
// Compute (1-|V|), clamp to zero to avoid sqrt of negative number.
__m128 oneMValue = _mm_sub_ps(g_XMOne, x);
__m128 clampOneMValue = _mm_max_ps(g_XMZero, oneMValue);
__m128 root = _mm_sqrt_ps(clampOneMValue); // sqrt(1-|V|)
// Compute polynomial approximation
const XMVECTOR AC1 = g_XMArcCoefficients1;
XMVECTOR vConstants = XM_PERMUTE_PS( AC1, _MM_SHUFFLE(3, 3, 3, 3) );
__m128 t0 = _mm_mul_ps(vConstants, x);
vConstants = XM_PERMUTE_PS( AC1, _MM_SHUFFLE(2, 2, 2, 2) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AC1, _MM_SHUFFLE(1, 1, 1, 1) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AC1, _MM_SHUFFLE(0, 0, 0, 0) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
const XMVECTOR AC0 = g_XMArcCoefficients0;
vConstants = XM_PERMUTE_PS( AC0, _MM_SHUFFLE(3, 3, 3, 3) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AC0,_MM_SHUFFLE(2, 2, 2, 2) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AC0, _MM_SHUFFLE(1, 1, 1, 1) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AC0, _MM_SHUFFLE(0, 0, 0, 0) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, root);
__m128 t1 = _mm_sub_ps(g_XMPi, t0);
t0 = _mm_and_ps(nonnegative, t0);
t1 = _mm_andnot_ps(nonnegative, t1);
t0 = _mm_or_ps(t0, t1);
t0 = _mm_sub_ps(g_XMHalfPi, t0);
return t0;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorACos
(
FXMVECTOR V
)
{
// 7-degree minimax approximation
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
acosf(V.vector4_f32[0]),
acosf(V.vector4_f32[1]),
acosf(V.vector4_f32[2]),
acosf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t nonnegative = vcgeq_f32(V, g_XMZero);
float32x4_t x = vabsq_f32(V);
// Compute (1-|V|), clamp to zero to avoid sqrt of negative number.
float32x4_t oneMValue = vsubq_f32(g_XMOne, x);
float32x4_t clampOneMValue = vmaxq_f32(g_XMZero, oneMValue);
float32x4_t root = XMVectorSqrt(clampOneMValue);
// Compute polynomial approximation
const XMVECTOR AC1 = g_XMArcCoefficients1;
XMVECTOR vConstants = vdupq_lane_f32(vget_high_f32(AC1), 0);
XMVECTOR t0 = vmlaq_lane_f32( vConstants, x, vget_high_f32(AC1), 1 );
vConstants = vdupq_lane_f32(vget_low_f32(AC1), 1);
t0 = vmlaq_f32( vConstants, t0, x );
vConstants = vdupq_lane_f32(vget_low_f32(AC1), 0);
t0 = vmlaq_f32( vConstants, t0, x );
const XMVECTOR AC0 = g_XMArcCoefficients0;
vConstants = vdupq_lane_f32(vget_high_f32(AC0), 1);
t0 = vmlaq_f32( vConstants, t0, x );
vConstants = vdupq_lane_f32(vget_high_f32(AC0), 0);
t0 = vmlaq_f32( vConstants, t0, x );
vConstants = vdupq_lane_f32(vget_low_f32(AC0), 1);
t0 = vmlaq_f32( vConstants, t0, x );
vConstants = vdupq_lane_f32(vget_low_f32(AC0), 0);
t0 = vmlaq_f32( vConstants, t0, x );
t0 = vmulq_f32(t0, root);
float32x4_t t1 = vsubq_f32(g_XMPi, t0);
t0 = vbslq_f32( nonnegative, t0, t1 );
return t0;
#elif defined(_XM_SSE_INTRINSICS_)
__m128 nonnegative = _mm_cmpge_ps(V, g_XMZero);
__m128 mvalue = _mm_sub_ps(g_XMZero, V);
__m128 x = _mm_max_ps(V, mvalue); // |V|
// Compute (1-|V|), clamp to zero to avoid sqrt of negative number.
__m128 oneMValue = _mm_sub_ps(g_XMOne, x);
__m128 clampOneMValue = _mm_max_ps(g_XMZero, oneMValue);
__m128 root = _mm_sqrt_ps(clampOneMValue); // sqrt(1-|V|)
// Compute polynomial approximation
const XMVECTOR AC1 = g_XMArcCoefficients1;
XMVECTOR vConstants = XM_PERMUTE_PS( AC1, _MM_SHUFFLE(3, 3, 3, 3) );
__m128 t0 = _mm_mul_ps(vConstants, x);
vConstants = XM_PERMUTE_PS( AC1, _MM_SHUFFLE(2, 2, 2, 2) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AC1, _MM_SHUFFLE(1, 1, 1, 1) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AC1, _MM_SHUFFLE(0, 0, 0, 0) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
const XMVECTOR AC0 = g_XMArcCoefficients0;
vConstants = XM_PERMUTE_PS( AC0, _MM_SHUFFLE(3, 3, 3, 3) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AC0, _MM_SHUFFLE(2, 2, 2, 2) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AC0, _MM_SHUFFLE(1, 1, 1, 1) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AC0, _MM_SHUFFLE(0, 0, 0, 0) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, root);
__m128 t1 = _mm_sub_ps(g_XMPi, t0);
t0 = _mm_and_ps(nonnegative, t0);
t1 = _mm_andnot_ps(nonnegative, t1);
t0 = _mm_or_ps(t0, t1);
return t0;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorATan
(
FXMVECTOR V
)
{
// 17-degree minimax approximation
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
atanf(V.vector4_f32[0]),
atanf(V.vector4_f32[1]),
atanf(V.vector4_f32[2]),
atanf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x4_t absV = vabsq_f32(V);
float32x4_t invV = XMVectorReciprocal(V);
uint32x4_t comp = vcgtq_f32(V, g_XMOne);
uint32x4_t sign = vbslq_f32(comp, g_XMOne, g_XMNegativeOne);
comp = vcleq_f32(absV, g_XMOne);
sign = vbslq_f32(comp, g_XMZero, sign);
uint32x4_t x = vbslq_f32(comp, V, invV);
float32x4_t x2 = vmulq_f32(x, x);
// Compute polynomial approximation
const XMVECTOR TC1 = g_XMATanCoefficients1;
XMVECTOR vConstants = vdupq_lane_f32(vget_high_f32(TC1), 0);
XMVECTOR Result = vmlaq_lane_f32( vConstants, x2, vget_high_f32(TC1), 1 );
vConstants = vdupq_lane_f32(vget_low_f32(TC1), 1);
Result = vmlaq_f32( vConstants, Result, x2 );
vConstants = vdupq_lane_f32(vget_low_f32(TC1), 0);
Result = vmlaq_f32( vConstants, Result, x2 );
const XMVECTOR TC0 = g_XMATanCoefficients0;
vConstants = vdupq_lane_f32(vget_high_f32(TC0), 1);
Result = vmlaq_f32( vConstants, Result, x2 );
vConstants = vdupq_lane_f32(vget_high_f32(TC0), 0);
Result = vmlaq_f32( vConstants, Result, x2 );
vConstants = vdupq_lane_f32(vget_low_f32(TC0), 1);
Result = vmlaq_f32( vConstants, Result, x2 );
vConstants = vdupq_lane_f32(vget_low_f32(TC0), 0);
Result = vmlaq_f32( vConstants, Result, x2 );
Result = vmlaq_f32( g_XMOne, Result, x2 );
Result = vmulq_f32( Result, x );
float32x4_t result1 = vmulq_f32(sign, g_XMHalfPi);
result1 = vsubq_f32(result1, Result);
comp = vceqq_f32(sign, g_XMZero);
Result = vbslq_f32( comp, Result, result1 );
return Result;
#elif defined(_XM_SSE_INTRINSICS_)
__m128 absV = XMVectorAbs(V);
__m128 invV = _mm_div_ps(g_XMOne, V);
__m128 comp = _mm_cmpgt_ps(V, g_XMOne);
__m128 select0 = _mm_and_ps(comp, g_XMOne);
__m128 select1 = _mm_andnot_ps(comp, g_XMNegativeOne);
__m128 sign = _mm_or_ps(select0, select1);
comp = _mm_cmple_ps(absV, g_XMOne);
select0 = _mm_and_ps(comp, g_XMZero);
select1 = _mm_andnot_ps(comp, sign);
sign = _mm_or_ps(select0, select1);
select0 = _mm_and_ps(comp, V);
select1 = _mm_andnot_ps(comp, invV);
__m128 x = _mm_or_ps(select0, select1);
__m128 x2 = _mm_mul_ps(x, x);
// Compute polynomial approximation
const XMVECTOR TC1 = g_XMATanCoefficients1;
XMVECTOR vConstants = XM_PERMUTE_PS( TC1, _MM_SHUFFLE(3, 3, 3, 3) );
__m128 Result = _mm_mul_ps(vConstants, x2);
vConstants = XM_PERMUTE_PS( TC1, _MM_SHUFFLE(2, 2, 2, 2) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( TC1, _MM_SHUFFLE(1, 1, 1, 1) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( TC1, _MM_SHUFFLE(0, 0, 0, 0) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
const XMVECTOR TC0 = g_XMATanCoefficients0;
vConstants = XM_PERMUTE_PS( TC0, _MM_SHUFFLE(3, 3, 3, 3) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( TC0, _MM_SHUFFLE(2, 2, 2, 2) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( TC0, _MM_SHUFFLE(1, 1, 1, 1) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( TC0, _MM_SHUFFLE(0, 0, 0, 0) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
Result = _mm_add_ps(Result, g_XMOne);
Result = _mm_mul_ps(Result, x);
__m128 result1 = _mm_mul_ps(sign, g_XMHalfPi);
result1 = _mm_sub_ps(result1, Result);
comp = _mm_cmpeq_ps(sign, g_XMZero);
select0 = _mm_and_ps(comp, Result);
select1 = _mm_andnot_ps(comp, result1);
Result = _mm_or_ps(select0, select1);
return Result;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorATan2
(
FXMVECTOR Y,
FXMVECTOR X
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
atan2f(Y.vector4_f32[0], X.vector4_f32[0]),
atan2f(Y.vector4_f32[1], X.vector4_f32[1]),
atan2f(Y.vector4_f32[2], X.vector4_f32[2]),
atan2f(Y.vector4_f32[3], X.vector4_f32[3])
} } };
return Result.v;
#else
// Return the inverse tangent of Y / X in the range of -Pi to Pi with the following exceptions:
// Y == 0 and X is Negative -> Pi with the sign of Y
// y == 0 and x is positive -> 0 with the sign of y
// Y != 0 and X == 0 -> Pi / 2 with the sign of Y
// Y != 0 and X is Negative -> atan(y/x) + (PI with the sign of Y)
// X == -Infinity and Finite Y -> Pi with the sign of Y
// X == +Infinity and Finite Y -> 0 with the sign of Y
// Y == Infinity and X is Finite -> Pi / 2 with the sign of Y
// Y == Infinity and X == -Infinity -> 3Pi / 4 with the sign of Y
// Y == Infinity and X == +Infinity -> Pi / 4 with the sign of Y
static const XMVECTORF32 ATan2Constants = { { { XM_PI, XM_PIDIV2, XM_PIDIV4, XM_PI * 3.0f / 4.0f } } };
XMVECTOR Zero = XMVectorZero();
XMVECTOR ATanResultValid = XMVectorTrueInt();
XMVECTOR Pi = XMVectorSplatX(ATan2Constants);
XMVECTOR PiOverTwo = XMVectorSplatY(ATan2Constants);
XMVECTOR PiOverFour = XMVectorSplatZ(ATan2Constants);
XMVECTOR ThreePiOverFour = XMVectorSplatW(ATan2Constants);
XMVECTOR YEqualsZero = XMVectorEqual(Y, Zero);
XMVECTOR XEqualsZero = XMVectorEqual(X, Zero);
XMVECTOR XIsPositive = XMVectorAndInt(X, g_XMNegativeZero.v);
XIsPositive = XMVectorEqualInt(XIsPositive, Zero);
XMVECTOR YEqualsInfinity = XMVectorIsInfinite(Y);
XMVECTOR XEqualsInfinity = XMVectorIsInfinite(X);
XMVECTOR YSign = XMVectorAndInt(Y, g_XMNegativeZero.v);
Pi = XMVectorOrInt(Pi, YSign);
PiOverTwo = XMVectorOrInt(PiOverTwo, YSign);
PiOverFour = XMVectorOrInt(PiOverFour, YSign);
ThreePiOverFour = XMVectorOrInt(ThreePiOverFour, YSign);
XMVECTOR R1 = XMVectorSelect(Pi, YSign, XIsPositive);
XMVECTOR R2 = XMVectorSelect(ATanResultValid, PiOverTwo, XEqualsZero);
XMVECTOR R3 = XMVectorSelect(R2, R1, YEqualsZero);
XMVECTOR R4 = XMVectorSelect(ThreePiOverFour, PiOverFour, XIsPositive);
XMVECTOR R5 = XMVectorSelect(PiOverTwo, R4, XEqualsInfinity);
XMVECTOR Result = XMVectorSelect(R3, R5, YEqualsInfinity);
ATanResultValid = XMVectorEqualInt(Result, ATanResultValid);
XMVECTOR V = XMVectorDivide(Y, X);
XMVECTOR R0 = XMVectorATan(V);
R1 = XMVectorSelect( Pi, g_XMNegativeZero, XIsPositive );
R2 = XMVectorAdd(R0, R1);
return XMVectorSelect(Result, R2, ATanResultValid);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorSinEst
(
FXMVECTOR V
)
{
// 7-degree minimax approximation
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
sinf(V.vector4_f32[0]),
sinf(V.vector4_f32[1]),
sinf(V.vector4_f32[2]),
sinf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Force the value within the bounds of pi
XMVECTOR x = XMVectorModAngles(V);
// Map in [-pi/2,pi/2] with sin(y) = sin(x).
uint32x4_t sign = vandq_u32(x, g_XMNegativeZero);
uint32x4_t c = vorrq_u32(g_XMPi, sign); // pi when x >= 0, -pi when x < 0
float32x4_t absx = vabsq_f32( x );
float32x4_t rflx = vsubq_f32(c, x);
uint32x4_t comp = vcleq_f32(absx, g_XMHalfPi);
x = vbslq_f32( comp, x, rflx );
float32x4_t x2 = vmulq_f32(x, x);
// Compute polynomial approximation
const XMVECTOR SEC = g_XMSinCoefficients1;
XMVECTOR vConstants = vdupq_lane_f32(vget_high_f32(SEC), 0);
XMVECTOR Result = vmlaq_lane_f32(vConstants, x2, vget_high_f32(SEC), 1);
vConstants = vdupq_lane_f32(vget_low_f32(SEC), 1);
Result = vmlaq_f32(vConstants, Result, x2);
Result = vmlaq_f32(g_XMOne, Result, x2);
Result = vmulq_f32(Result, x);
return Result;
#elif defined(_XM_SSE_INTRINSICS_)
// Force the value within the bounds of pi
XMVECTOR x = XMVectorModAngles(V);
// Map in [-pi/2,pi/2] with sin(y) = sin(x).
__m128 sign = _mm_and_ps(x, g_XMNegativeZero);
__m128 c = _mm_or_ps(g_XMPi, sign); // pi when x >= 0, -pi when x < 0
__m128 absx = _mm_andnot_ps(sign, x); // |x|
__m128 rflx = _mm_sub_ps(c, x);
__m128 comp = _mm_cmple_ps(absx, g_XMHalfPi);
__m128 select0 = _mm_and_ps(comp, x);
__m128 select1 = _mm_andnot_ps(comp, rflx);
x = _mm_or_ps(select0, select1);
__m128 x2 = _mm_mul_ps(x, x);
// Compute polynomial approximation
const XMVECTOR SEC = g_XMSinCoefficients1;
XMVECTOR vConstants = XM_PERMUTE_PS( SEC, _MM_SHUFFLE(3, 3, 3, 3) );
__m128 Result = _mm_mul_ps(vConstants, x2);
vConstants = XM_PERMUTE_PS( SEC, _MM_SHUFFLE(2, 2, 2, 2) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( SEC, _MM_SHUFFLE(1, 1, 1, 1) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
Result = _mm_add_ps(Result, g_XMOne);
Result = _mm_mul_ps(Result, x);
return Result;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorCosEst
(
FXMVECTOR V
)
{
// 6-degree minimax approximation
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
cosf(V.vector4_f32[0]),
cosf(V.vector4_f32[1]),
cosf(V.vector4_f32[2]),
cosf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Map V to x in [-pi,pi].
XMVECTOR x = XMVectorModAngles(V);
// Map in [-pi/2,pi/2] with cos(y) = sign*cos(x).
uint32x4_t sign = vandq_u32(x, g_XMNegativeZero);
uint32x4_t c = vorrq_u32(g_XMPi, sign); // pi when x >= 0, -pi when x < 0
float32x4_t absx = vabsq_f32( x );
float32x4_t rflx = vsubq_f32(c, x);
uint32x4_t comp = vcleq_f32(absx, g_XMHalfPi);
x = vbslq_f32( comp, x, rflx );
sign = vbslq_f32( comp, g_XMOne, g_XMNegativeOne );
float32x4_t x2 = vmulq_f32(x, x);
// Compute polynomial approximation
const XMVECTOR CEC = g_XMCosCoefficients1;
XMVECTOR vConstants = vdupq_lane_f32(vget_high_f32(CEC), 0);
XMVECTOR Result = vmlaq_lane_f32(vConstants, x2, vget_high_f32(CEC), 1);
vConstants = vdupq_lane_f32(vget_low_f32(CEC), 1);
Result = vmlaq_f32(vConstants, Result, x2);
Result = vmlaq_f32(g_XMOne, Result, x2);
Result = vmulq_f32(Result, sign);
return Result;
#elif defined(_XM_SSE_INTRINSICS_)
// Map V to x in [-pi,pi].
XMVECTOR x = XMVectorModAngles(V);
// Map in [-pi/2,pi/2] with cos(y) = sign*cos(x).
XMVECTOR sign = _mm_and_ps(x, g_XMNegativeZero);
__m128 c = _mm_or_ps(g_XMPi, sign); // pi when x >= 0, -pi when x < 0
__m128 absx = _mm_andnot_ps(sign, x); // |x|
__m128 rflx = _mm_sub_ps(c, x);
__m128 comp = _mm_cmple_ps(absx, g_XMHalfPi);
__m128 select0 = _mm_and_ps(comp, x);
__m128 select1 = _mm_andnot_ps(comp, rflx);
x = _mm_or_ps(select0, select1);
select0 = _mm_and_ps(comp, g_XMOne);
select1 = _mm_andnot_ps(comp, g_XMNegativeOne);
sign = _mm_or_ps(select0, select1);
__m128 x2 = _mm_mul_ps(x, x);
// Compute polynomial approximation
const XMVECTOR CEC = g_XMCosCoefficients1;
XMVECTOR vConstants = XM_PERMUTE_PS( CEC, _MM_SHUFFLE(3, 3, 3, 3) );
__m128 Result = _mm_mul_ps(vConstants, x2);
vConstants = XM_PERMUTE_PS( CEC, _MM_SHUFFLE(2, 2, 2, 2) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( CEC, _MM_SHUFFLE(1, 1, 1, 1) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
Result = _mm_add_ps(Result, g_XMOne);
Result = _mm_mul_ps(Result, sign);
return Result;
#endif
}
//------------------------------------------------------------------------------
_Use_decl_annotations_
inline void XM_CALLCONV XMVectorSinCosEst
(
XMVECTOR* pSin,
XMVECTOR* pCos,
FXMVECTOR V
)
{
assert(pSin != nullptr);
assert(pCos != nullptr);
// 7/6-degree minimax approximation
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Sin = { { {
sinf(V.vector4_f32[0]),
sinf(V.vector4_f32[1]),
sinf(V.vector4_f32[2]),
sinf(V.vector4_f32[3])
} } };
XMVECTORF32 Cos = { { {
cosf(V.vector4_f32[0]),
cosf(V.vector4_f32[1]),
cosf(V.vector4_f32[2]),
cosf(V.vector4_f32[3])
} } };
*pSin = Sin.v;
*pCos = Cos.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Force the value within the bounds of pi
XMVECTOR x = XMVectorModAngles(V);
// Map in [-pi/2,pi/2] with cos(y) = sign*cos(x).
uint32x4_t sign = vandq_u32(x, g_XMNegativeZero);
uint32x4_t c = vorrq_u32(g_XMPi, sign); // pi when x >= 0, -pi when x < 0
float32x4_t absx = vabsq_f32( x );
float32x4_t rflx = vsubq_f32(c, x);
uint32x4_t comp = vcleq_f32(absx, g_XMHalfPi);
x = vbslq_f32( comp, x, rflx );
sign = vbslq_f32( comp, g_XMOne, g_XMNegativeOne );
float32x4_t x2 = vmulq_f32(x, x);
// Compute polynomial approximation for sine
const XMVECTOR SEC = g_XMSinCoefficients1;
XMVECTOR vConstants = vdupq_lane_f32(vget_high_f32(SEC), 0);
XMVECTOR Result = vmlaq_lane_f32(vConstants, x2, vget_high_f32(SEC), 1);
vConstants = vdupq_lane_f32(vget_low_f32(SEC), 1);
Result = vmlaq_f32(vConstants, Result, x2);
Result = vmlaq_f32(g_XMOne, Result, x2);
*pSin = vmulq_f32(Result, x);
// Compute polynomial approximation
const XMVECTOR CEC = g_XMCosCoefficients1;
vConstants = vdupq_lane_f32(vget_high_f32(CEC), 0);
Result = vmlaq_lane_f32(vConstants, x2, vget_high_f32(CEC), 1);
vConstants = vdupq_lane_f32(vget_low_f32(CEC), 1);
Result = vmlaq_f32(vConstants, Result, x2);
Result = vmlaq_f32(g_XMOne, Result, x2);
*pCos = vmulq_f32(Result, sign);
#elif defined(_XM_SSE_INTRINSICS_)
// Force the value within the bounds of pi
XMVECTOR x = XMVectorModAngles(V);
// Map in [-pi/2,pi/2] with sin(y) = sin(x), cos(y) = sign*cos(x).
XMVECTOR sign = _mm_and_ps(x, g_XMNegativeZero);
__m128 c = _mm_or_ps(g_XMPi, sign); // pi when x >= 0, -pi when x < 0
__m128 absx = _mm_andnot_ps(sign, x); // |x|
__m128 rflx = _mm_sub_ps(c, x);
__m128 comp = _mm_cmple_ps(absx, g_XMHalfPi);
__m128 select0 = _mm_and_ps(comp, x);
__m128 select1 = _mm_andnot_ps(comp, rflx);
x = _mm_or_ps(select0, select1);
select0 = _mm_and_ps(comp, g_XMOne);
select1 = _mm_andnot_ps(comp, g_XMNegativeOne);
sign = _mm_or_ps(select0, select1);
__m128 x2 = _mm_mul_ps(x, x);
// Compute polynomial approximation for sine
const XMVECTOR SEC = g_XMSinCoefficients1;
XMVECTOR vConstants = XM_PERMUTE_PS( SEC, _MM_SHUFFLE(3, 3, 3, 3) );
__m128 Result = _mm_mul_ps(vConstants, x2);
vConstants = XM_PERMUTE_PS( SEC, _MM_SHUFFLE(2, 2, 2, 2) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( SEC, _MM_SHUFFLE(1, 1, 1, 1) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
Result = _mm_add_ps(Result, g_XMOne);
Result = _mm_mul_ps(Result, x);
*pSin = Result;
// Compute polynomial approximation for cosine
const XMVECTOR CEC = g_XMCosCoefficients1;
vConstants = XM_PERMUTE_PS( CEC, _MM_SHUFFLE(3, 3, 3, 3) );
Result = _mm_mul_ps(vConstants, x2);
vConstants = XM_PERMUTE_PS( CEC, _MM_SHUFFLE(2, 2, 2, 2) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( CEC, _MM_SHUFFLE(1, 1, 1, 1) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
Result = _mm_add_ps(Result, g_XMOne);
Result = _mm_mul_ps(Result, sign);
*pCos = Result;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorTanEst
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
tanf(V.vector4_f32[0]),
tanf(V.vector4_f32[1]),
tanf(V.vector4_f32[2]),
tanf(V.vector4_f32[3])
} } };
return Result.v;
#else
XMVECTOR OneOverPi = XMVectorSplatW(g_XMTanEstCoefficients.v);
XMVECTOR V1 = XMVectorMultiply(V, OneOverPi);
V1 = XMVectorRound(V1);
V1 = XMVectorNegativeMultiplySubtract(g_XMPi.v, V1, V);
XMVECTOR T0 = XMVectorSplatX(g_XMTanEstCoefficients.v);
XMVECTOR T1 = XMVectorSplatY(g_XMTanEstCoefficients.v);
XMVECTOR T2 = XMVectorSplatZ(g_XMTanEstCoefficients.v);
XMVECTOR V2T2 = XMVectorNegativeMultiplySubtract(V1, V1, T2);
XMVECTOR V2 = XMVectorMultiply(V1, V1);
XMVECTOR V1T0 = XMVectorMultiply(V1, T0);
XMVECTOR V1T1 = XMVectorMultiply(V1, T1);
XMVECTOR D = XMVectorReciprocalEst(V2T2);
XMVECTOR N = XMVectorMultiplyAdd(V2, V1T1, V1T0);
return XMVectorMultiply(N, D);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorASinEst
(
FXMVECTOR V
)
{
// 3-degree minimax approximation
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result;
Result.f[0] = asinf( V.vector4_f32[0] );
Result.f[1] = asinf( V.vector4_f32[1] );
Result.f[2] = asinf( V.vector4_f32[2] );
Result.f[3] = asinf( V.vector4_f32[3] );
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t nonnegative = vcgeq_f32(V, g_XMZero);
float32x4_t x = vabsq_f32(V);
// Compute (1-|V|), clamp to zero to avoid sqrt of negative number.
float32x4_t oneMValue = vsubq_f32(g_XMOne, x);
float32x4_t clampOneMValue = vmaxq_f32(g_XMZero, oneMValue);
float32x4_t root = XMVectorSqrt(clampOneMValue);
// Compute polynomial approximation
const XMVECTOR AEC = g_XMArcEstCoefficients;
XMVECTOR vConstants = vdupq_lane_f32(vget_high_f32(AEC), 0);
XMVECTOR t0 = vmlaq_lane_f32( vConstants, x, vget_high_f32(AEC), 1 );
vConstants = vdupq_lane_f32(vget_low_f32(AEC), 1);
t0 = vmlaq_f32( vConstants, t0, x );
vConstants = vdupq_lane_f32(vget_low_f32(AEC), 0);
t0 = vmlaq_f32( vConstants, t0, x );
t0 = vmulq_f32(t0, root);
float32x4_t t1 = vsubq_f32(g_XMPi, t0);
t0 = vbslq_f32( nonnegative, t0, t1 );
t0 = vsubq_f32(g_XMHalfPi, t0);
return t0;
#elif defined(_XM_SSE_INTRINSICS_)
__m128 nonnegative = _mm_cmpge_ps(V, g_XMZero);
__m128 mvalue = _mm_sub_ps(g_XMZero, V);
__m128 x = _mm_max_ps(V, mvalue); // |V|
// Compute (1-|V|), clamp to zero to avoid sqrt of negative number.
__m128 oneMValue = _mm_sub_ps(g_XMOne, x);
__m128 clampOneMValue = _mm_max_ps(g_XMZero, oneMValue);
__m128 root = _mm_sqrt_ps(clampOneMValue); // sqrt(1-|V|)
// Compute polynomial approximation
const XMVECTOR AEC = g_XMArcEstCoefficients;
XMVECTOR vConstants = XM_PERMUTE_PS( AEC, _MM_SHUFFLE(3, 3, 3, 3) );
__m128 t0 = _mm_mul_ps(vConstants, x);
vConstants = XM_PERMUTE_PS( AEC, _MM_SHUFFLE(2, 2, 2, 2) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AEC, _MM_SHUFFLE(1, 1, 1, 1) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AEC, _MM_SHUFFLE(0, 0, 0, 0) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, root);
__m128 t1 = _mm_sub_ps(g_XMPi, t0);
t0 = _mm_and_ps(nonnegative, t0);
t1 = _mm_andnot_ps(nonnegative, t1);
t0 = _mm_or_ps(t0, t1);
t0 = _mm_sub_ps(g_XMHalfPi, t0);
return t0;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorACosEst
(
FXMVECTOR V
)
{
// 3-degree minimax approximation
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
acosf(V.vector4_f32[0]),
acosf(V.vector4_f32[1]),
acosf(V.vector4_f32[2]),
acosf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t nonnegative = vcgeq_f32(V, g_XMZero);
float32x4_t x = vabsq_f32(V);
// Compute (1-|V|), clamp to zero to avoid sqrt of negative number.
float32x4_t oneMValue = vsubq_f32(g_XMOne, x);
float32x4_t clampOneMValue = vmaxq_f32(g_XMZero, oneMValue);
float32x4_t root = XMVectorSqrt(clampOneMValue);
// Compute polynomial approximation
const XMVECTOR AEC = g_XMArcEstCoefficients;
XMVECTOR vConstants = vdupq_lane_f32(vget_high_f32(AEC), 0);
XMVECTOR t0 = vmlaq_lane_f32( vConstants, x, vget_high_f32(AEC), 1 );
vConstants = vdupq_lane_f32(vget_low_f32(AEC), 1);
t0 = vmlaq_f32( vConstants, t0, x );
vConstants = vdupq_lane_f32(vget_low_f32(AEC), 0);
t0 = vmlaq_f32( vConstants, t0, x );
t0 = vmulq_f32(t0, root);
float32x4_t t1 = vsubq_f32(g_XMPi, t0);
t0 = vbslq_f32( nonnegative, t0, t1 );
return t0;
#elif defined(_XM_SSE_INTRINSICS_)
__m128 nonnegative = _mm_cmpge_ps(V, g_XMZero);
__m128 mvalue = _mm_sub_ps(g_XMZero, V);
__m128 x = _mm_max_ps(V, mvalue); // |V|
// Compute (1-|V|), clamp to zero to avoid sqrt of negative number.
__m128 oneMValue = _mm_sub_ps(g_XMOne, x);
__m128 clampOneMValue = _mm_max_ps(g_XMZero, oneMValue);
__m128 root = _mm_sqrt_ps(clampOneMValue); // sqrt(1-|V|)
// Compute polynomial approximation
const XMVECTOR AEC = g_XMArcEstCoefficients;
XMVECTOR vConstants = XM_PERMUTE_PS( AEC, _MM_SHUFFLE(3, 3, 3, 3) );
__m128 t0 = _mm_mul_ps(vConstants, x);
vConstants = XM_PERMUTE_PS( AEC, _MM_SHUFFLE(2, 2, 2, 2) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AEC, _MM_SHUFFLE(1, 1, 1, 1) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, x);
vConstants = XM_PERMUTE_PS( AEC, _MM_SHUFFLE(0, 0, 0, 0) );
t0 = _mm_add_ps(t0, vConstants);
t0 = _mm_mul_ps(t0, root);
__m128 t1 = _mm_sub_ps(g_XMPi, t0);
t0 = _mm_and_ps(nonnegative, t0);
t1 = _mm_andnot_ps(nonnegative, t1);
t0 = _mm_or_ps(t0, t1);
return t0;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorATanEst
(
FXMVECTOR V
)
{
// 9-degree minimax approximation
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
atanf(V.vector4_f32[0]),
atanf(V.vector4_f32[1]),
atanf(V.vector4_f32[2]),
atanf(V.vector4_f32[3])
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x4_t absV = vabsq_f32(V);
float32x4_t invV = XMVectorReciprocalEst(V);
uint32x4_t comp = vcgtq_f32(V, g_XMOne);
uint32x4_t sign = vbslq_f32(comp, g_XMOne, g_XMNegativeOne );
comp = vcleq_f32(absV, g_XMOne);
sign = vbslq_f32(comp, g_XMZero, sign );
uint32x4_t x = vbslq_f32(comp, V, invV );
float32x4_t x2 = vmulq_f32(x, x);
// Compute polynomial approximation
const XMVECTOR AEC = g_XMATanEstCoefficients1;
XMVECTOR vConstants = vdupq_lane_f32(vget_high_f32(AEC), 0);
XMVECTOR Result = vmlaq_lane_f32( vConstants, x2, vget_high_f32(AEC), 1 );
vConstants = vdupq_lane_f32(vget_low_f32(AEC), 1);
Result = vmlaq_f32( vConstants, Result, x2 );
vConstants = vdupq_lane_f32(vget_low_f32( AEC), 0);
Result = vmlaq_f32( vConstants, Result, x2 );
// ATanEstCoefficients0 is already splatted
Result = vmlaq_f32( g_XMATanEstCoefficients0, Result, x2 );
Result = vmulq_f32( Result, x );
float32x4_t result1 = vmulq_f32(sign, g_XMHalfPi);
result1 = vsubq_f32(result1, Result);
comp = vceqq_f32(sign, g_XMZero);
Result = vbslq_f32( comp, Result, result1 );
return Result;
#elif defined(_XM_SSE_INTRINSICS_)
__m128 absV = XMVectorAbs(V);
__m128 invV = _mm_div_ps(g_XMOne, V);
__m128 comp = _mm_cmpgt_ps(V, g_XMOne);
__m128 select0 = _mm_and_ps(comp, g_XMOne);
__m128 select1 = _mm_andnot_ps(comp, g_XMNegativeOne);
__m128 sign = _mm_or_ps(select0, select1);
comp = _mm_cmple_ps(absV, g_XMOne);
select0 = _mm_and_ps(comp, g_XMZero);
select1 = _mm_andnot_ps(comp, sign);
sign = _mm_or_ps(select0, select1);
select0 = _mm_and_ps(comp, V);
select1 = _mm_andnot_ps(comp, invV);
__m128 x = _mm_or_ps(select0, select1);
__m128 x2 = _mm_mul_ps(x, x);
// Compute polynomial approximation
const XMVECTOR AEC = g_XMATanEstCoefficients1;
XMVECTOR vConstants = XM_PERMUTE_PS( AEC, _MM_SHUFFLE(3, 3, 3, 3) );
__m128 Result = _mm_mul_ps(vConstants, x2);
vConstants = XM_PERMUTE_PS( AEC, _MM_SHUFFLE(2, 2, 2, 2) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( AEC, _MM_SHUFFLE(1, 1, 1, 1) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
vConstants = XM_PERMUTE_PS( AEC, _MM_SHUFFLE(0, 0, 0, 0) );
Result = _mm_add_ps(Result, vConstants);
Result = _mm_mul_ps(Result, x2);
// ATanEstCoefficients0 is already splatted
Result = _mm_add_ps(Result, g_XMATanEstCoefficients0);
Result = _mm_mul_ps(Result, x);
__m128 result1 = _mm_mul_ps(sign, g_XMHalfPi);
result1 = _mm_sub_ps(result1, Result);
comp = _mm_cmpeq_ps(sign, g_XMZero);
select0 = _mm_and_ps(comp, Result);
select1 = _mm_andnot_ps(comp, result1);
Result = _mm_or_ps(select0, select1);
return Result;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorATan2Est
(
FXMVECTOR Y,
FXMVECTOR X
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
atan2f(Y.vector4_f32[0], X.vector4_f32[0]),
atan2f(Y.vector4_f32[1], X.vector4_f32[1]),
atan2f(Y.vector4_f32[2], X.vector4_f32[2]),
atan2f(Y.vector4_f32[3], X.vector4_f32[3]),
} } };
return Result.v;
#else
static const XMVECTORF32 ATan2Constants = { { { XM_PI, XM_PIDIV2, XM_PIDIV4, 2.3561944905f /* Pi*3/4 */ } } };
const XMVECTOR Zero = XMVectorZero();
XMVECTOR ATanResultValid = XMVectorTrueInt();
XMVECTOR Pi = XMVectorSplatX(ATan2Constants);
XMVECTOR PiOverTwo = XMVectorSplatY(ATan2Constants);
XMVECTOR PiOverFour = XMVectorSplatZ(ATan2Constants);
XMVECTOR ThreePiOverFour = XMVectorSplatW(ATan2Constants);
XMVECTOR YEqualsZero = XMVectorEqual(Y, Zero);
XMVECTOR XEqualsZero = XMVectorEqual(X, Zero);
XMVECTOR XIsPositive = XMVectorAndInt(X, g_XMNegativeZero.v);
XIsPositive = XMVectorEqualInt(XIsPositive, Zero);
XMVECTOR YEqualsInfinity = XMVectorIsInfinite(Y);
XMVECTOR XEqualsInfinity = XMVectorIsInfinite(X);
XMVECTOR YSign = XMVectorAndInt(Y, g_XMNegativeZero.v);
Pi = XMVectorOrInt(Pi, YSign);
PiOverTwo = XMVectorOrInt(PiOverTwo, YSign);
PiOverFour = XMVectorOrInt(PiOverFour, YSign);
ThreePiOverFour = XMVectorOrInt(ThreePiOverFour, YSign);
XMVECTOR R1 = XMVectorSelect(Pi, YSign, XIsPositive);
XMVECTOR R2 = XMVectorSelect(ATanResultValid, PiOverTwo, XEqualsZero);
XMVECTOR R3 = XMVectorSelect(R2, R1, YEqualsZero);
XMVECTOR R4 = XMVectorSelect(ThreePiOverFour, PiOverFour, XIsPositive);
XMVECTOR R5 = XMVectorSelect(PiOverTwo, R4, XEqualsInfinity);
XMVECTOR Result = XMVectorSelect(R3, R5, YEqualsInfinity);
ATanResultValid = XMVectorEqualInt(Result, ATanResultValid);
XMVECTOR Reciprocal = XMVectorReciprocalEst(X);
XMVECTOR V = XMVectorMultiply(Y, Reciprocal);
XMVECTOR R0 = XMVectorATanEst(V);
R1 = XMVectorSelect( Pi, g_XMNegativeZero, XIsPositive );
R2 = XMVectorAdd(R0, R1);
Result = XMVectorSelect(Result, R2, ATanResultValid);
return Result;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorLerp
(
FXMVECTOR V0,
FXMVECTOR V1,
float t
)
{
// V0 + t * (V1 - V0)
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Scale = XMVectorReplicate(t);
XMVECTOR Length = XMVectorSubtract(V1, V0);
return XMVectorMultiplyAdd(Length, Scale, V0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
XMVECTOR L = vsubq_f32( V1, V0 );
return vmlaq_n_f32( V0, L, t );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR L = _mm_sub_ps( V1, V0 );
XMVECTOR S = _mm_set_ps1( t );
XMVECTOR Result = _mm_mul_ps( L, S );
return _mm_add_ps( Result, V0 );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorLerpV
(
FXMVECTOR V0,
FXMVECTOR V1,
FXMVECTOR T
)
{
// V0 + T * (V1 - V0)
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Length = XMVectorSubtract(V1, V0);
return XMVectorMultiplyAdd(Length, T, V0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
XMVECTOR L = vsubq_f32( V1, V0 );
return vmlaq_f32( V0, L, T );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR Length = _mm_sub_ps( V1, V0 );
XMVECTOR Result = _mm_mul_ps( Length, T );
return _mm_add_ps( Result, V0 );
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorHermite
(
FXMVECTOR Position0,
FXMVECTOR Tangent0,
FXMVECTOR Position1,
GXMVECTOR Tangent1,
float t
)
{
// Result = (2 * t^3 - 3 * t^2 + 1) * Position0 +
// (t^3 - 2 * t^2 + t) * Tangent0 +
// (-2 * t^3 + 3 * t^2) * Position1 +
// (t^3 - t^2) * Tangent1
#if defined(_XM_NO_INTRINSICS_)
float t2 = t * t;
float t3 = t * t2;
XMVECTOR P0 = XMVectorReplicate(2.0f * t3 - 3.0f * t2 + 1.0f);
XMVECTOR T0 = XMVectorReplicate(t3 - 2.0f * t2 + t);
XMVECTOR P1 = XMVectorReplicate(-2.0f * t3 + 3.0f * t2);
XMVECTOR T1 = XMVectorReplicate(t3 - t2);
XMVECTOR Result = XMVectorMultiply(P0, Position0);
Result = XMVectorMultiplyAdd(T0, Tangent0, Result);
Result = XMVectorMultiplyAdd(P1, Position1, Result);
Result = XMVectorMultiplyAdd(T1, Tangent1, Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float t2 = t * t;
float t3 = t * t2;
float p0 = 2.0f * t3 - 3.0f * t2 + 1.0f;
float t0 = t3 - 2.0f * t2 + t;
float p1 = -2.0f * t3 + 3.0f * t2;
float t1 = t3 - t2;
XMVECTOR vResult = vmulq_n_f32(Position0, p0 );
vResult = vmlaq_n_f32( vResult, Tangent0, t0 );
vResult = vmlaq_n_f32( vResult, Position1, p1 );
vResult = vmlaq_n_f32( vResult, Tangent1, t1 );
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
float t2 = t * t;
float t3 = t * t2;
XMVECTOR P0 = _mm_set_ps1(2.0f * t3 - 3.0f * t2 + 1.0f);
XMVECTOR T0 = _mm_set_ps1(t3 - 2.0f * t2 + t);
XMVECTOR P1 = _mm_set_ps1(-2.0f * t3 + 3.0f * t2);
XMVECTOR T1 = _mm_set_ps1(t3 - t2);
XMVECTOR vResult = _mm_mul_ps(P0, Position0);
XMVECTOR vTemp = _mm_mul_ps(T0, Tangent0);
vResult = _mm_add_ps(vResult,vTemp);
vTemp = _mm_mul_ps(P1, Position1);
vResult = _mm_add_ps(vResult,vTemp);
vTemp = _mm_mul_ps(T1, Tangent1);
vResult = _mm_add_ps(vResult,vTemp);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorHermiteV
(
FXMVECTOR Position0,
FXMVECTOR Tangent0,
FXMVECTOR Position1,
GXMVECTOR Tangent1,
HXMVECTOR T
)
{
// Result = (2 * t^3 - 3 * t^2 + 1) * Position0 +
// (t^3 - 2 * t^2 + t) * Tangent0 +
// (-2 * t^3 + 3 * t^2) * Position1 +
// (t^3 - t^2) * Tangent1
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR T2 = XMVectorMultiply(T, T);
XMVECTOR T3 = XMVectorMultiply(T , T2);
XMVECTOR P0 = XMVectorReplicate(2.0f * T3.vector4_f32[0] - 3.0f * T2.vector4_f32[0] + 1.0f);
XMVECTOR T0 = XMVectorReplicate(T3.vector4_f32[1] - 2.0f * T2.vector4_f32[1] + T.vector4_f32[1]);
XMVECTOR P1 = XMVectorReplicate(-2.0f * T3.vector4_f32[2] + 3.0f * T2.vector4_f32[2]);
XMVECTOR T1 = XMVectorReplicate(T3.vector4_f32[3] - T2.vector4_f32[3]);
XMVECTOR Result = XMVectorMultiply(P0, Position0);
Result = XMVectorMultiplyAdd(T0, Tangent0, Result);
Result = XMVectorMultiplyAdd(P1, Position1, Result);
Result = XMVectorMultiplyAdd(T1, Tangent1, Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
static const XMVECTORF32 CatMulT2 = { { { -3.0f, -2.0f, 3.0f, -1.0f } } };
static const XMVECTORF32 CatMulT3 = { { { 2.0f, 1.0f, -2.0f, 1.0f } } };
XMVECTOR T2 = vmulq_f32(T,T);
XMVECTOR T3 = vmulq_f32(T,T2);
// Mul by the constants against t^2
T2 = vmulq_f32(T2,CatMulT2);
// Mul by the constants against t^3
T3 = vmlaq_f32(T2, T3, CatMulT3 );
// T3 now has the pre-result.
// I need to add t.y only
T2 = vandq_u32(T,g_XMMaskY);
T3 = vaddq_f32(T3,T2);
// Add 1.0f to x
T3 = vaddq_f32(T3,g_XMIdentityR0);
// Now, I have the constants created
// Mul the x constant to Position0
XMVECTOR vResult = vmulq_lane_f32( Position0, vget_low_f32( T3 ), 0 ); // T3[0]
// Mul the y constant to Tangent0
vResult = vmlaq_lane_f32(vResult, Tangent0, vget_low_f32( T3 ), 1 ); // T3[1]
// Mul the z constant to Position1
vResult = vmlaq_lane_f32(vResult, Position1, vget_high_f32( T3 ), 0 ); // T3[2]
// Mul the w constant to Tangent1
vResult = vmlaq_lane_f32(vResult, Tangent1, vget_high_f32( T3 ), 1 ); // T3[3]
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
static const XMVECTORF32 CatMulT2 = { { { -3.0f, -2.0f, 3.0f, -1.0f } } };
static const XMVECTORF32 CatMulT3 = { { { 2.0f, 1.0f, -2.0f, 1.0f } } };
XMVECTOR T2 = _mm_mul_ps(T,T);
XMVECTOR T3 = _mm_mul_ps(T,T2);
// Mul by the constants against t^2
T2 = _mm_mul_ps(T2,CatMulT2);
// Mul by the constants against t^3
T3 = _mm_mul_ps(T3,CatMulT3);
// T3 now has the pre-result.
T3 = _mm_add_ps(T3,T2);
// I need to add t.y only
T2 = _mm_and_ps(T,g_XMMaskY);
T3 = _mm_add_ps(T3,T2);
// Add 1.0f to x
T3 = _mm_add_ps(T3,g_XMIdentityR0);
// Now, I have the constants created
// Mul the x constant to Position0
XMVECTOR vResult = XM_PERMUTE_PS(T3,_MM_SHUFFLE(0,0,0,0));
vResult = _mm_mul_ps(vResult,Position0);
// Mul the y constant to Tangent0
T2 = XM_PERMUTE_PS(T3,_MM_SHUFFLE(1,1,1,1));
T2 = _mm_mul_ps(T2,Tangent0);
vResult = _mm_add_ps(vResult,T2);
// Mul the z constant to Position1
T2 = XM_PERMUTE_PS(T3,_MM_SHUFFLE(2,2,2,2));
T2 = _mm_mul_ps(T2,Position1);
vResult = _mm_add_ps(vResult,T2);
// Mul the w constant to Tangent1
T3 = XM_PERMUTE_PS(T3,_MM_SHUFFLE(3,3,3,3));
T3 = _mm_mul_ps(T3,Tangent1);
vResult = _mm_add_ps(vResult,T3);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorCatmullRom
(
FXMVECTOR Position0,
FXMVECTOR Position1,
FXMVECTOR Position2,
GXMVECTOR Position3,
float t
)
{
// Result = ((-t^3 + 2 * t^2 - t) * Position0 +
// (3 * t^3 - 5 * t^2 + 2) * Position1 +
// (-3 * t^3 + 4 * t^2 + t) * Position2 +
// (t^3 - t^2) * Position3) * 0.5
#if defined(_XM_NO_INTRINSICS_)
float t2 = t * t;
float t3 = t * t2;
XMVECTOR P0 = XMVectorReplicate((-t3 + 2.0f * t2 - t) * 0.5f);
XMVECTOR P1 = XMVectorReplicate((3.0f * t3 - 5.0f * t2 + 2.0f) * 0.5f);
XMVECTOR P2 = XMVectorReplicate((-3.0f * t3 + 4.0f * t2 + t) * 0.5f);
XMVECTOR P3 = XMVectorReplicate((t3 - t2) * 0.5f);
XMVECTOR Result = XMVectorMultiply(P0, Position0);
Result = XMVectorMultiplyAdd(P1, Position1, Result);
Result = XMVectorMultiplyAdd(P2, Position2, Result);
Result = XMVectorMultiplyAdd(P3, Position3, Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float t2 = t * t;
float t3 = t * t2;
float p0 = (-t3 + 2.0f * t2 - t) * 0.5f;
float p1 = (3.0f * t3 - 5.0f * t2 + 2.0f) * 0.5f;
float p2 = (-3.0f * t3 + 4.0f * t2 + t) * 0.5f;
float p3 = (t3 - t2) * 0.5f;
XMVECTOR P1 = vmulq_n_f32(Position1, p1);
XMVECTOR P0 = vmlaq_n_f32(P1, Position0, p0);
XMVECTOR P3 = vmulq_n_f32(Position3, p3);
XMVECTOR P2 = vmlaq_n_f32(P3, Position2, p2);
P0 = vaddq_f32(P0,P2);
return P0;
#elif defined(_XM_SSE_INTRINSICS_)
float t2 = t * t;
float t3 = t * t2;
XMVECTOR P0 = _mm_set_ps1((-t3 + 2.0f * t2 - t) * 0.5f);
XMVECTOR P1 = _mm_set_ps1((3.0f * t3 - 5.0f * t2 + 2.0f) * 0.5f);
XMVECTOR P2 = _mm_set_ps1((-3.0f * t3 + 4.0f * t2 + t) * 0.5f);
XMVECTOR P3 = _mm_set_ps1((t3 - t2) * 0.5f);
P0 = _mm_mul_ps(P0, Position0);
P1 = _mm_mul_ps(P1, Position1);
P2 = _mm_mul_ps(P2, Position2);
P3 = _mm_mul_ps(P3, Position3);
P0 = _mm_add_ps(P0,P1);
P2 = _mm_add_ps(P2,P3);
P0 = _mm_add_ps(P0,P2);
return P0;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorCatmullRomV
(
FXMVECTOR Position0,
FXMVECTOR Position1,
FXMVECTOR Position2,
GXMVECTOR Position3,
HXMVECTOR T
)
{
#if defined(_XM_NO_INTRINSICS_)
float fx = T.vector4_f32[0];
float fy = T.vector4_f32[1];
float fz = T.vector4_f32[2];
float fw = T.vector4_f32[3];
XMVECTORF32 vResult = { { {
0.5f*((-fx*fx*fx + 2 * fx*fx - fx)*Position0.vector4_f32[0]
+ (3 * fx*fx*fx - 5 * fx*fx + 2)*Position1.vector4_f32[0]
+ (-3 * fx*fx*fx + 4 * fx*fx + fx)*Position2.vector4_f32[0]
+ (fx*fx*fx - fx*fx)*Position3.vector4_f32[0]),
0.5f*((-fy*fy*fy + 2 * fy*fy - fy)*Position0.vector4_f32[1]
+ (3 * fy*fy*fy - 5 * fy*fy + 2)*Position1.vector4_f32[1]
+ (-3 * fy*fy*fy + 4 * fy*fy + fy)*Position2.vector4_f32[1]
+ (fy*fy*fy - fy*fy)*Position3.vector4_f32[1]),
0.5f*((-fz*fz*fz + 2 * fz*fz - fz)*Position0.vector4_f32[2]
+ (3 * fz*fz*fz - 5 * fz*fz + 2)*Position1.vector4_f32[2]
+ (-3 * fz*fz*fz + 4 * fz*fz + fz)*Position2.vector4_f32[2]
+ (fz*fz*fz - fz*fz)*Position3.vector4_f32[2]),
0.5f*((-fw*fw*fw + 2 * fw*fw - fw)*Position0.vector4_f32[3]
+ (3 * fw*fw*fw - 5 * fw*fw + 2)*Position1.vector4_f32[3]
+ (-3 * fw*fw*fw + 4 * fw*fw + fw)*Position2.vector4_f32[3]
+ (fw*fw*fw - fw*fw)*Position3.vector4_f32[3])
} } };
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
static const XMVECTORF32 Catmul2 = { { { 2.0f, 2.0f, 2.0f, 2.0f } } };
static const XMVECTORF32 Catmul3 = { { { 3.0f, 3.0f, 3.0f, 3.0f } } };
static const XMVECTORF32 Catmul4 = { { { 4.0f, 4.0f, 4.0f, 4.0f } } };
static const XMVECTORF32 Catmul5 = { { { 5.0f, 5.0f, 5.0f, 5.0f } } };
// Cache T^2 and T^3
XMVECTOR T2 = vmulq_f32(T,T);
XMVECTOR T3 = vmulq_f32(T,T2);
// Perform the Position0 term
XMVECTOR vResult = vaddq_f32(T2,T2);
vResult = vsubq_f32(vResult,T);
vResult = vsubq_f32(vResult,T3);
vResult = vmulq_f32(vResult,Position0);
// Perform the Position1 term and add
XMVECTOR vTemp = vmulq_f32(T3,Catmul3);
vTemp = vmlsq_f32(vTemp, T2, Catmul5);
vTemp = vaddq_f32(vTemp,Catmul2);
vResult = vmlaq_f32(vResult, vTemp, Position1);
// Perform the Position2 term and add
vTemp = vmulq_f32(T2,Catmul4);
vTemp = vmlsq_f32(vTemp, T3, Catmul3);
vTemp = vaddq_f32(vTemp,T);
vResult = vmlaq_f32(vResult, vTemp, Position2);
// Position3 is the last term
T3 = vsubq_f32(T3,T2);
vResult = vmlaq_f32(vResult, T3, Position3);
// Multiply by 0.5f and exit
vResult = vmulq_f32(vResult,g_XMOneHalf);
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
static const XMVECTORF32 Catmul2 = { { { 2.0f, 2.0f, 2.0f, 2.0f } } };
static const XMVECTORF32 Catmul3 = { { { 3.0f, 3.0f, 3.0f, 3.0f } } };
static const XMVECTORF32 Catmul4 = { { { 4.0f, 4.0f, 4.0f, 4.0f } } };
static const XMVECTORF32 Catmul5 = { { { 5.0f, 5.0f, 5.0f, 5.0f } } };
// Cache T^2 and T^3
XMVECTOR T2 = _mm_mul_ps(T,T);
XMVECTOR T3 = _mm_mul_ps(T,T2);
// Perform the Position0 term
XMVECTOR vResult = _mm_add_ps(T2,T2);
vResult = _mm_sub_ps(vResult,T);
vResult = _mm_sub_ps(vResult,T3);
vResult = _mm_mul_ps(vResult,Position0);
// Perform the Position1 term and add
XMVECTOR vTemp = _mm_mul_ps(T3,Catmul3);
XMVECTOR vTemp2 = _mm_mul_ps(T2,Catmul5);
vTemp = _mm_sub_ps(vTemp,vTemp2);
vTemp = _mm_add_ps(vTemp,Catmul2);
vTemp = _mm_mul_ps(vTemp,Position1);
vResult = _mm_add_ps(vResult,vTemp);
// Perform the Position2 term and add
vTemp = _mm_mul_ps(T2,Catmul4);
vTemp2 = _mm_mul_ps(T3,Catmul3);
vTemp = _mm_sub_ps(vTemp,vTemp2);
vTemp = _mm_add_ps(vTemp,T);
vTemp = _mm_mul_ps(vTemp,Position2);
vResult = _mm_add_ps(vResult,vTemp);
// Position3 is the last term
T3 = _mm_sub_ps(T3,T2);
T3 = _mm_mul_ps(T3,Position3);
vResult = _mm_add_ps(vResult,T3);
// Multiply by 0.5f and exit
vResult = _mm_mul_ps(vResult,g_XMOneHalf);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorBaryCentric
(
FXMVECTOR Position0,
FXMVECTOR Position1,
FXMVECTOR Position2,
float f,
float g
)
{
// Result = Position0 + f * (Position1 - Position0) + g * (Position2 - Position0)
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR P10 = XMVectorSubtract(Position1, Position0);
XMVECTOR ScaleF = XMVectorReplicate(f);
XMVECTOR P20 = XMVectorSubtract(Position2, Position0);
XMVECTOR ScaleG = XMVectorReplicate(g);
XMVECTOR Result = XMVectorMultiplyAdd(P10, ScaleF, Position0);
Result = XMVectorMultiplyAdd(P20, ScaleG, Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
XMVECTOR R1 = vsubq_f32(Position1,Position0);
XMVECTOR R2 = vsubq_f32(Position2,Position0);
R1 = vmlaq_n_f32( Position0, R1, f);
return vmlaq_n_f32( R1, R2, g );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR R1 = _mm_sub_ps(Position1,Position0);
XMVECTOR SF = _mm_set_ps1(f);
XMVECTOR R2 = _mm_sub_ps(Position2,Position0);
XMVECTOR SG = _mm_set_ps1(g);
R1 = _mm_mul_ps(R1,SF);
R2 = _mm_mul_ps(R2,SG);
R1 = _mm_add_ps(R1,Position0);
R1 = _mm_add_ps(R1,R2);
return R1;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVectorBaryCentricV
(
FXMVECTOR Position0,
FXMVECTOR Position1,
FXMVECTOR Position2,
GXMVECTOR F,
HXMVECTOR G
)
{
// Result = Position0 + f * (Position1 - Position0) + g * (Position2 - Position0)
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR P10 = XMVectorSubtract(Position1, Position0);
XMVECTOR P20 = XMVectorSubtract(Position2, Position0);
XMVECTOR Result = XMVectorMultiplyAdd(P10, F, Position0);
Result = XMVectorMultiplyAdd(P20, G, Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
XMVECTOR R1 = vsubq_f32(Position1,Position0);
XMVECTOR R2 = vsubq_f32(Position2,Position0);
R1 = vmlaq_f32( Position0, R1, F );
return vmlaq_f32( R1, R2, G);
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR R1 = _mm_sub_ps(Position1,Position0);
XMVECTOR R2 = _mm_sub_ps(Position2,Position0);
R1 = _mm_mul_ps(R1,F);
R2 = _mm_mul_ps(R2,G);
R1 = _mm_add_ps(R1,Position0);
R1 = _mm_add_ps(R1,R2);
return R1;
#endif
}
/****************************************************************************
*
* 2D Vector
*
****************************************************************************/
//------------------------------------------------------------------------------
// Comparison operations
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector2Equal
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] == V2.vector4_f32[0]) && (V1.vector4_f32[1] == V2.vector4_f32[1])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x2_t vTemp = vceq_f32( vget_low_f32(V1), vget_low_f32(V2) );
return ( vget_lane_u64( vTemp, 0 ) == 0xFFFFFFFFFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpeq_ps(V1,V2);
// z and w are don't care
return (((_mm_movemask_ps(vTemp)&3)==3) != 0);
#endif
}
//------------------------------------------------------------------------------
inline uint32_t XM_CALLCONV XMVector2EqualR
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
uint32_t CR = 0;
if ((V1.vector4_f32[0] == V2.vector4_f32[0]) &&
(V1.vector4_f32[1] == V2.vector4_f32[1]))
{
CR = XM_CRMASK_CR6TRUE;
}
else if ((V1.vector4_f32[0] != V2.vector4_f32[0]) &&
(V1.vector4_f32[1] != V2.vector4_f32[1]))
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x2_t vTemp = vceq_f32( vget_low_f32(V1), vget_low_f32(V2) );
uint64_t r = vget_lane_u64( vTemp, 0 );
uint32_t CR = 0;
if ( r == 0xFFFFFFFFFFFFFFFFU )
{
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpeq_ps(V1,V2);
// z and w are don't care
int iTest = _mm_movemask_ps(vTemp)&3;
uint32_t CR = 0;
if (iTest==3)
{
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTest)
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector2EqualInt
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_u32[0] == V2.vector4_u32[0]) && (V1.vector4_u32[1] == V2.vector4_u32[1])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x2_t vTemp = vceq_u32( vget_low_u32(V1), vget_low_u32(V2) );
return ( vget_lane_u64( vTemp, 0 ) == 0xFFFFFFFFFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vTemp = _mm_cmpeq_epi32(_mm_castps_si128(V1),_mm_castps_si128(V2));
return (((_mm_movemask_ps(_mm_castsi128_ps(vTemp))&3)==3) != 0);
#endif
}
//------------------------------------------------------------------------------
inline uint32_t XM_CALLCONV XMVector2EqualIntR
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
uint32_t CR = 0;
if ((V1.vector4_u32[0] == V2.vector4_u32[0]) &&
(V1.vector4_u32[1] == V2.vector4_u32[1]))
{
CR = XM_CRMASK_CR6TRUE;
}
else if ((V1.vector4_u32[0] != V2.vector4_u32[0]) &&
(V1.vector4_u32[1] != V2.vector4_u32[1]))
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x2_t vTemp = vceq_u32( vget_low_u32(V1), vget_low_u32(V2) );
uint64_t r = vget_lane_u64( vTemp, 0 );
uint32_t CR = 0;
if ( r == 0xFFFFFFFFFFFFFFFFU )
{
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vTemp = _mm_cmpeq_epi32(_mm_castps_si128(V1),_mm_castps_si128(V2));
int iTest = _mm_movemask_ps(_mm_castsi128_ps(vTemp))&3;
uint32_t CR = 0;
if (iTest==3)
{
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTest)
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector2NearEqual
(
FXMVECTOR V1,
FXMVECTOR V2,
FXMVECTOR Epsilon
)
{
#if defined(_XM_NO_INTRINSICS_)
float dx = fabsf(V1.vector4_f32[0]-V2.vector4_f32[0]);
float dy = fabsf(V1.vector4_f32[1]-V2.vector4_f32[1]);
return ((dx <= Epsilon.vector4_f32[0]) &&
(dy <= Epsilon.vector4_f32[1]));
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t vDelta = vsub_f32(vget_low_u32(V1), vget_low_u32(V2));
uint32x2_t vTemp = vacle_f32( vDelta, vget_low_u32(Epsilon) );
uint64_t r = vget_lane_u64( vTemp, 0 );
return ( r == 0xFFFFFFFFFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
// Get the difference
XMVECTOR vDelta = _mm_sub_ps(V1,V2);
// Get the absolute value of the difference
XMVECTOR vTemp = _mm_setzero_ps();
vTemp = _mm_sub_ps(vTemp,vDelta);
vTemp = _mm_max_ps(vTemp,vDelta);
vTemp = _mm_cmple_ps(vTemp,Epsilon);
// z and w are don't care
return (((_mm_movemask_ps(vTemp)&3)==0x3) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector2NotEqual
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] != V2.vector4_f32[0]) || (V1.vector4_f32[1] != V2.vector4_f32[1])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x2_t vTemp = vceq_f32( vget_low_f32(V1), vget_low_f32(V2) );
return ( vget_lane_u64( vTemp, 0 ) != 0xFFFFFFFFFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpeq_ps(V1,V2);
// z and w are don't care
return (((_mm_movemask_ps(vTemp)&3)!=3) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector2NotEqualInt
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_u32[0] != V2.vector4_u32[0]) || (V1.vector4_u32[1] != V2.vector4_u32[1])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x2_t vTemp = vceq_u32( vget_low_u32(V1), vget_low_u32(V2) );
return ( vget_lane_u64( vTemp, 0 ) != 0xFFFFFFFFFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vTemp = _mm_cmpeq_epi32(_mm_castps_si128(V1),_mm_castps_si128(V2));
return (((_mm_movemask_ps(_mm_castsi128_ps(vTemp))&3)!=3) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector2Greater
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] > V2.vector4_f32[0]) && (V1.vector4_f32[1] > V2.vector4_f32[1])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x2_t vTemp = vcgt_f32( vget_low_f32(V1), vget_low_f32(V2) );
return ( vget_lane_u64( vTemp, 0 ) == 0xFFFFFFFFFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpgt_ps(V1,V2);
// z and w are don't care
return (((_mm_movemask_ps(vTemp)&3)==3) != 0);
#endif
}
//------------------------------------------------------------------------------
inline uint32_t XM_CALLCONV XMVector2GreaterR
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
uint32_t CR = 0;
if ((V1.vector4_f32[0] > V2.vector4_f32[0]) &&
(V1.vector4_f32[1] > V2.vector4_f32[1]))
{
CR = XM_CRMASK_CR6TRUE;
}
else if ((V1.vector4_f32[0] <= V2.vector4_f32[0]) &&
(V1.vector4_f32[1] <= V2.vector4_f32[1]))
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x2_t vTemp = vcgt_f32( vget_low_f32(V1), vget_low_f32(V2) );
uint64_t r = vget_lane_u64( vTemp, 0 );
uint32_t CR = 0;
if ( r == 0xFFFFFFFFFFFFFFFFU )
{
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpgt_ps(V1,V2);
int iTest = _mm_movemask_ps(vTemp)&3;
uint32_t CR = 0;
if (iTest==3)
{
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTest)
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector2GreaterOrEqual
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] >= V2.vector4_f32[0]) && (V1.vector4_f32[1] >= V2.vector4_f32[1])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x2_t vTemp = vcge_f32( vget_low_f32(V1), vget_low_f32(V2) );
return ( vget_lane_u64( vTemp, 0 ) == 0xFFFFFFFFFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpge_ps(V1,V2);
return (((_mm_movemask_ps(vTemp)&3)==3) != 0);
#endif
}
//------------------------------------------------------------------------------
inline uint32_t XM_CALLCONV XMVector2GreaterOrEqualR
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
uint32_t CR = 0;
if ((V1.vector4_f32[0] >= V2.vector4_f32[0]) &&
(V1.vector4_f32[1] >= V2.vector4_f32[1]))
{
CR = XM_CRMASK_CR6TRUE;
}
else if ((V1.vector4_f32[0] < V2.vector4_f32[0]) &&
(V1.vector4_f32[1] < V2.vector4_f32[1]))
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x2_t vTemp = vcge_f32( vget_low_f32(V1), vget_low_f32(V2) );
uint64_t r = vget_lane_u64( vTemp, 0 );
uint32_t CR = 0;
if ( r == 0xFFFFFFFFFFFFFFFFU )
{
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpge_ps(V1,V2);
int iTest = _mm_movemask_ps(vTemp)&3;
uint32_t CR = 0;
if (iTest == 3)
{
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTest)
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector2Less
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] < V2.vector4_f32[0]) && (V1.vector4_f32[1] < V2.vector4_f32[1])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x2_t vTemp = vclt_f32( vget_low_f32(V1), vget_low_f32(V2) );
return ( vget_lane_u64( vTemp, 0 ) == 0xFFFFFFFFFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmplt_ps(V1,V2);
return (((_mm_movemask_ps(vTemp)&3)==3) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector2LessOrEqual
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] <= V2.vector4_f32[0]) && (V1.vector4_f32[1] <= V2.vector4_f32[1])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x2_t vTemp = vcle_f32( vget_low_f32(V1), vget_low_f32(V2) );
return ( vget_lane_u64( vTemp, 0 ) == 0xFFFFFFFFFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmple_ps(V1,V2);
return (((_mm_movemask_ps(vTemp)&3)==3) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector2InBounds
(
FXMVECTOR V,
FXMVECTOR Bounds
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V.vector4_f32[0] <= Bounds.vector4_f32[0] && V.vector4_f32[0] >= -Bounds.vector4_f32[0]) &&
(V.vector4_f32[1] <= Bounds.vector4_f32[1] && V.vector4_f32[1] >= -Bounds.vector4_f32[1])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t VL = vget_low_f32( V );
float32x2_t B = vget_low_f32( Bounds );
// Test if less than or equal
uint32x2_t ivTemp1 = vcle_f32(VL,B);
// Negate the bounds
float32x2_t vTemp2 = vneg_f32(B);
// Test if greater or equal (Reversed)
uint32x2_t ivTemp2 = vcle_f32(vTemp2,VL);
// Blend answers
ivTemp1 = vand_u32(ivTemp1,ivTemp2);
// x and y in bounds?
return ( vget_lane_u64( ivTemp1, 0 ) == 0xFFFFFFFFFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
// Test if less than or equal
XMVECTOR vTemp1 = _mm_cmple_ps(V,Bounds);
// Negate the bounds
XMVECTOR vTemp2 = _mm_mul_ps(Bounds,g_XMNegativeOne);
// Test if greater or equal (Reversed)
vTemp2 = _mm_cmple_ps(vTemp2,V);
// Blend answers
vTemp1 = _mm_and_ps(vTemp1,vTemp2);
// x and y in bounds? (z and w are don't care)
return (((_mm_movemask_ps(vTemp1)&0x3)==0x3) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector2IsNaN
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
return (XMISNAN(V.vector4_f32[0]) ||
XMISNAN(V.vector4_f32[1]));
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t VL = vget_low_f32( V );
// Test against itself. NaN is always not equal
uint32x2_t vTempNan = vceq_f32( VL, VL );
// If x or y are NaN, the mask is zero
return ( vget_lane_u64( vTempNan, 0 ) != 0xFFFFFFFFFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
// Test against itself. NaN is always not equal
XMVECTOR vTempNan = _mm_cmpneq_ps(V,V);
// If x or y are NaN, the mask is non-zero
return ((_mm_movemask_ps(vTempNan)&3) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector2IsInfinite
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
return (XMISINF(V.vector4_f32[0]) ||
XMISINF(V.vector4_f32[1]));
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Mask off the sign bit
uint32x2_t vTemp = vand_u32( vget_low_f32( V ) , vget_low_f32( g_XMAbsMask ) );
// Compare to infinity
vTemp = vceq_f32(vTemp, vget_low_f32( g_XMInfinity) );
// If any are infinity, the signs are true.
return vget_lane_u64( vTemp, 0 ) != 0;
#elif defined(_XM_SSE_INTRINSICS_)
// Mask off the sign bit
__m128 vTemp = _mm_and_ps(V,g_XMAbsMask);
// Compare to infinity
vTemp = _mm_cmpeq_ps(vTemp,g_XMInfinity);
// If x or z are infinity, the signs are true.
return ((_mm_movemask_ps(vTemp)&3) != 0);
#endif
}
//------------------------------------------------------------------------------
// Computation operations
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2Dot
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result;
Result.f[0] =
Result.f[1] =
Result.f[2] =
Result.f[3] = V1.vector4_f32[0] * V2.vector4_f32[0] + V1.vector4_f32[1] * V2.vector4_f32[1];
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Perform the dot product on x and y
float32x2_t vTemp = vmul_f32( vget_low_f32(V1), vget_low_f32(V2) );
vTemp = vpadd_f32( vTemp, vTemp );
return vcombine_f32( vTemp, vTemp );
#elif defined(_XM_SSE4_INTRINSICS_)
return _mm_dp_ps( V1, V2, 0x3f );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vDot = _mm_mul_ps(V1, V2);
vDot = _mm_hadd_ps(vDot, vDot);
vDot = _mm_moveldup_ps(vDot);
return vDot;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x and y
XMVECTOR vLengthSq = _mm_mul_ps(V1,V2);
// vTemp has y splatted
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,1,1,1));
// x+y
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(0,0,0,0));
return vLengthSq;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2Cross
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
// [ V1.x*V2.y - V1.y*V2.x, V1.x*V2.y - V1.y*V2.x ]
#if defined(_XM_NO_INTRINSICS_)
float fCross = (V1.vector4_f32[0] * V2.vector4_f32[1]) - (V1.vector4_f32[1] * V2.vector4_f32[0]);
XMVECTORF32 vResult;
vResult.f[0] =
vResult.f[1] =
vResult.f[2] =
vResult.f[3] = fCross;
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
static const XMVECTORF32 Negate = { { { 1.f, -1.f, 0, 0 } } };
float32x2_t vTemp = vmul_f32( vget_low_f32( V1 ), vrev64_f32( vget_low_f32( V2 ) ) );
vTemp = vmul_f32( vTemp, vget_low_f32( Negate ) );
vTemp = vpadd_f32( vTemp, vTemp );
return vcombine_f32( vTemp, vTemp );
#elif defined(_XM_SSE_INTRINSICS_)
// Swap x and y
XMVECTOR vResult = XM_PERMUTE_PS(V2,_MM_SHUFFLE(0,1,0,1));
// Perform the muls
vResult = _mm_mul_ps(vResult,V1);
// Splat y
XMVECTOR vTemp = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(1,1,1,1));
// Sub the values
vResult = _mm_sub_ss(vResult,vTemp);
// Splat the cross product
vResult = XM_PERMUTE_PS(vResult,_MM_SHUFFLE(0,0,0,0));
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2LengthSq
(
FXMVECTOR V
)
{
return XMVector2Dot(V, V);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2ReciprocalLengthEst
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector2LengthSq(V);
Result = XMVectorReciprocalSqrtEst(Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t VL = vget_low_f32(V);
// Dot2
float32x2_t vTemp = vmul_f32( VL, VL );
vTemp = vpadd_f32( vTemp, vTemp );
// Reciprocal sqrt (estimate)
vTemp = vrsqrte_f32( vTemp );
return vcombine_f32( vTemp, vTemp );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0x3f );
return _mm_rsqrt_ps( vTemp );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
XMVECTOR vTemp = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_rsqrt_ss(vTemp);
vLengthSq = XM_PERMUTE_PS(vLengthSq, _MM_SHUFFLE(0, 0, 0, 0));
return vLengthSq;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x and y
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has y splatted
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,1,1,1));
// x+y
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
vLengthSq = _mm_rsqrt_ss(vLengthSq);
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(0,0,0,0));
return vLengthSq;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2ReciprocalLength
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector2LengthSq(V);
Result = XMVectorReciprocalSqrt(Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t VL = vget_low_f32(V);
// Dot2
float32x2_t vTemp = vmul_f32( VL, VL );
vTemp = vpadd_f32( vTemp, vTemp );
// Reciprocal sqrt
float32x2_t S0 = vrsqrte_f32(vTemp);
float32x2_t P0 = vmul_f32( vTemp, S0 );
float32x2_t R0 = vrsqrts_f32( P0, S0 );
float32x2_t S1 = vmul_f32( S0, R0 );
float32x2_t P1 = vmul_f32( vTemp, S1 );
float32x2_t R1 = vrsqrts_f32( P1, S1 );
float32x2_t Result = vmul_f32( S1, R1 );
return vcombine_f32( Result, Result );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0x3f );
XMVECTOR vLengthSq = _mm_sqrt_ps( vTemp );
return _mm_div_ps( g_XMOne, vLengthSq );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
XMVECTOR vTemp = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_sqrt_ss(vTemp);
vLengthSq = _mm_div_ss(g_XMOne, vLengthSq);
vLengthSq = XM_PERMUTE_PS(vLengthSq, _MM_SHUFFLE(0, 0, 0, 0));
return vLengthSq;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x and y
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has y splatted
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,1,1,1));
// x+y
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
vLengthSq = _mm_sqrt_ss(vLengthSq);
vLengthSq = _mm_div_ss(g_XMOne,vLengthSq);
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(0,0,0,0));
return vLengthSq;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2LengthEst
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector2LengthSq(V);
Result = XMVectorSqrtEst(Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t VL = vget_low_f32(V);
// Dot2
float32x2_t vTemp = vmul_f32( VL, VL );
vTemp = vpadd_f32( vTemp, vTemp );
const float32x2_t zero = vdup_n_f32(0);
uint32x2_t VEqualsZero = vceq_f32( vTemp, zero );
// Sqrt (estimate)
float32x2_t Result = vrsqrte_f32( vTemp );
Result = vmul_f32( vTemp, Result );
Result = vbsl_f32( VEqualsZero, zero, Result );
return vcombine_f32( Result, Result );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0x3f );
return _mm_sqrt_ps( vTemp );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
XMVECTOR vTemp = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_sqrt_ss(vTemp);
vLengthSq = XM_PERMUTE_PS(vLengthSq, _MM_SHUFFLE(0, 0, 0, 0));
return vLengthSq;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x and y
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has y splatted
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,1,1,1));
// x+y
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
vLengthSq = _mm_sqrt_ss(vLengthSq);
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(0,0,0,0));
return vLengthSq;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2Length
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector2LengthSq(V);
Result = XMVectorSqrt(Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t VL = vget_low_f32(V);
// Dot2
float32x2_t vTemp = vmul_f32( VL, VL );
vTemp = vpadd_f32( vTemp, vTemp );
const float32x2_t zero = vdup_n_f32(0);
uint32x2_t VEqualsZero = vceq_f32( vTemp, zero );
// Sqrt
float32x2_t S0 = vrsqrte_f32( vTemp );
float32x2_t P0 = vmul_f32( vTemp, S0 );
float32x2_t R0 = vrsqrts_f32( P0, S0 );
float32x2_t S1 = vmul_f32( S0, R0 );
float32x2_t P1 = vmul_f32( vTemp, S1 );
float32x2_t R1 = vrsqrts_f32( P1, S1 );
float32x2_t Result = vmul_f32( S1, R1 );
Result = vmul_f32( vTemp, Result );
Result = vbsl_f32( VEqualsZero, zero, Result );
return vcombine_f32( Result, Result );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0x3f );
return _mm_sqrt_ps( vTemp );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
XMVECTOR vTemp = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_sqrt_ss(vTemp);
vLengthSq = XM_PERMUTE_PS(vLengthSq, _MM_SHUFFLE(0, 0, 0, 0));
return vLengthSq;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x and y
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has y splatted
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,1,1,1));
// x+y
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(0,0,0,0));
vLengthSq = _mm_sqrt_ps(vLengthSq);
return vLengthSq;
#endif
}
//------------------------------------------------------------------------------
// XMVector2NormalizeEst uses a reciprocal estimate and
// returns QNaN on zero and infinite vectors.
inline XMVECTOR XM_CALLCONV XMVector2NormalizeEst
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector2ReciprocalLength(V);
Result = XMVectorMultiply(V, Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t VL = vget_low_f32(V);
// Dot2
float32x2_t vTemp = vmul_f32( VL, VL );
vTemp = vpadd_f32( vTemp, vTemp );
// Reciprocal sqrt (estimate)
vTemp = vrsqrte_f32( vTemp );
// Normalize
float32x2_t Result = vmul_f32( VL, vTemp );
return vcombine_f32( Result, Result );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0x3f );
XMVECTOR vResult = _mm_rsqrt_ps( vTemp );
return _mm_mul_ps(vResult, V);
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_rsqrt_ss(vLengthSq);
vLengthSq = XM_PERMUTE_PS(vLengthSq, _MM_SHUFFLE(0, 0, 0, 0));
vLengthSq = _mm_mul_ps(vLengthSq, V);
return vLengthSq;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x and y
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has y splatted
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,1,1,1));
// x+y
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
vLengthSq = _mm_rsqrt_ss(vLengthSq);
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(0,0,0,0));
vLengthSq = _mm_mul_ps(vLengthSq,V);
return vLengthSq;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2Normalize
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR vResult = XMVector2Length( V );
float fLength = vResult.vector4_f32[0];
// Prevent divide by zero
if (fLength > 0) {
fLength = 1.0f/fLength;
}
vResult.vector4_f32[0] = V.vector4_f32[0]*fLength;
vResult.vector4_f32[1] = V.vector4_f32[1]*fLength;
vResult.vector4_f32[2] = V.vector4_f32[2]*fLength;
vResult.vector4_f32[3] = V.vector4_f32[3]*fLength;
return vResult;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t VL = vget_low_f32(V);
// Dot2
float32x2_t vTemp = vmul_f32( VL, VL );
vTemp = vpadd_f32( vTemp, vTemp );
uint32x2_t VEqualsZero = vceq_f32( vTemp, vdup_n_f32(0) );
uint32x2_t VEqualsInf = vceq_f32( vTemp, vget_low_f32(g_XMInfinity) );
// Reciprocal sqrt (2 iterations of Newton-Raphson)
float32x2_t S0 = vrsqrte_f32( vTemp );
float32x2_t P0 = vmul_f32( vTemp, S0 );
float32x2_t R0 = vrsqrts_f32( P0, S0 );
float32x2_t S1 = vmul_f32( S0, R0 );
float32x2_t P1 = vmul_f32( vTemp, S1 );
float32x2_t R1 = vrsqrts_f32( P1, S1 );
vTemp = vmul_f32( S1, R1 );
// Normalize
float32x2_t Result = vmul_f32( VL, vTemp );
Result = vbsl_f32( VEqualsZero, vdup_n_f32(0), Result );
Result = vbsl_f32( VEqualsInf, vget_low_f32(g_XMQNaN), Result );
return vcombine_f32( Result, Result );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vLengthSq = _mm_dp_ps( V, V, 0x3f );
// Prepare for the division
XMVECTOR vResult = _mm_sqrt_ps(vLengthSq);
// Create zero with a single instruction
XMVECTOR vZeroMask = _mm_setzero_ps();
// Test for a divide by zero (Must be FP to detect -0.0)
vZeroMask = _mm_cmpneq_ps(vZeroMask,vResult);
// Failsafe on zero (Or epsilon) length planes
// If the length is infinity, set the elements to zero
vLengthSq = _mm_cmpneq_ps(vLengthSq,g_XMInfinity);
// Reciprocal mul to perform the normalization
vResult = _mm_div_ps(V,vResult);
// Any that are infinity, set to zero
vResult = _mm_and_ps(vResult,vZeroMask);
// Select qnan or result based on infinite length
XMVECTOR vTemp1 = _mm_andnot_ps(vLengthSq,g_XMQNaN);
XMVECTOR vTemp2 = _mm_and_ps(vResult,vLengthSq);
vResult = _mm_or_ps(vTemp1,vTemp2);
return vResult;
#elif defined(_XM_SSE3_INTRINSICS_)
// Perform the dot product on x and y only
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_moveldup_ps(vLengthSq);
// Prepare for the division
XMVECTOR vResult = _mm_sqrt_ps(vLengthSq);
// Create zero with a single instruction
XMVECTOR vZeroMask = _mm_setzero_ps();
// Test for a divide by zero (Must be FP to detect -0.0)
vZeroMask = _mm_cmpneq_ps(vZeroMask, vResult);
// Failsafe on zero (Or epsilon) length planes
// If the length is infinity, set the elements to zero
vLengthSq = _mm_cmpneq_ps(vLengthSq, g_XMInfinity);
// Reciprocal mul to perform the normalization
vResult = _mm_div_ps(V, vResult);
// Any that are infinity, set to zero
vResult = _mm_and_ps(vResult, vZeroMask);
// Select qnan or result based on infinite length
XMVECTOR vTemp1 = _mm_andnot_ps(vLengthSq, g_XMQNaN);
XMVECTOR vTemp2 = _mm_and_ps(vResult, vLengthSq);
vResult = _mm_or_ps(vTemp1, vTemp2);
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x and y only
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,1,1,1));
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(0,0,0,0));
// Prepare for the division
XMVECTOR vResult = _mm_sqrt_ps(vLengthSq);
// Create zero with a single instruction
XMVECTOR vZeroMask = _mm_setzero_ps();
// Test for a divide by zero (Must be FP to detect -0.0)
vZeroMask = _mm_cmpneq_ps(vZeroMask,vResult);
// Failsafe on zero (Or epsilon) length planes
// If the length is infinity, set the elements to zero
vLengthSq = _mm_cmpneq_ps(vLengthSq,g_XMInfinity);
// Reciprocal mul to perform the normalization
vResult = _mm_div_ps(V,vResult);
// Any that are infinity, set to zero
vResult = _mm_and_ps(vResult,vZeroMask);
// Select qnan or result based on infinite length
XMVECTOR vTemp1 = _mm_andnot_ps(vLengthSq,g_XMQNaN);
XMVECTOR vTemp2 = _mm_and_ps(vResult,vLengthSq);
vResult = _mm_or_ps(vTemp1,vTemp2);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2ClampLength
(
FXMVECTOR V,
float LengthMin,
float LengthMax
)
{
XMVECTOR ClampMax = XMVectorReplicate(LengthMax);
XMVECTOR ClampMin = XMVectorReplicate(LengthMin);
return XMVector2ClampLengthV(V, ClampMin, ClampMax);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2ClampLengthV
(
FXMVECTOR V,
FXMVECTOR LengthMin,
FXMVECTOR LengthMax
)
{
assert((XMVectorGetY(LengthMin) == XMVectorGetX(LengthMin)));
assert((XMVectorGetY(LengthMax) == XMVectorGetX(LengthMax)));
assert(XMVector2GreaterOrEqual(LengthMin, g_XMZero));
assert(XMVector2GreaterOrEqual(LengthMax, g_XMZero));
assert(XMVector2GreaterOrEqual(LengthMax, LengthMin));
XMVECTOR LengthSq = XMVector2LengthSq(V);
const XMVECTOR Zero = XMVectorZero();
XMVECTOR RcpLength = XMVectorReciprocalSqrt(LengthSq);
XMVECTOR InfiniteLength = XMVectorEqualInt(LengthSq, g_XMInfinity.v);
XMVECTOR ZeroLength = XMVectorEqual(LengthSq, Zero);
XMVECTOR Length = XMVectorMultiply(LengthSq, RcpLength);
XMVECTOR Normal = XMVectorMultiply(V, RcpLength);
XMVECTOR Select = XMVectorEqualInt(InfiniteLength, ZeroLength);
Length = XMVectorSelect(LengthSq, Length, Select);
Normal = XMVectorSelect(LengthSq, Normal, Select);
XMVECTOR ControlMax = XMVectorGreater(Length, LengthMax);
XMVECTOR ControlMin = XMVectorLess(Length, LengthMin);
XMVECTOR ClampLength = XMVectorSelect(Length, LengthMax, ControlMax);
ClampLength = XMVectorSelect(ClampLength, LengthMin, ControlMin);
XMVECTOR Result = XMVectorMultiply(Normal, ClampLength);
// Preserve the original vector (with no precision loss) if the length falls within the given range
XMVECTOR Control = XMVectorEqualInt(ControlMax, ControlMin);
Result = XMVectorSelect(Result, V, Control);
return Result;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2Reflect
(
FXMVECTOR Incident,
FXMVECTOR Normal
)
{
// Result = Incident - (2 * dot(Incident, Normal)) * Normal
XMVECTOR Result;
Result = XMVector2Dot(Incident, Normal);
Result = XMVectorAdd(Result, Result);
Result = XMVectorNegativeMultiplySubtract(Result, Normal, Incident);
return Result;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2Refract
(
FXMVECTOR Incident,
FXMVECTOR Normal,
float RefractionIndex
)
{
XMVECTOR Index = XMVectorReplicate(RefractionIndex);
return XMVector2RefractV(Incident, Normal, Index);
}
//------------------------------------------------------------------------------
// Return the refraction of a 2D vector
inline XMVECTOR XM_CALLCONV XMVector2RefractV
(
FXMVECTOR Incident,
FXMVECTOR Normal,
FXMVECTOR RefractionIndex
)
{
// Result = RefractionIndex * Incident - Normal * (RefractionIndex * dot(Incident, Normal) +
// sqrt(1 - RefractionIndex * RefractionIndex * (1 - dot(Incident, Normal) * dot(Incident, Normal))))
#if defined(_XM_NO_INTRINSICS_)
float IDotN = (Incident.vector4_f32[0]*Normal.vector4_f32[0])+(Incident.vector4_f32[1]*Normal.vector4_f32[1]);
// R = 1.0f - RefractionIndex * RefractionIndex * (1.0f - IDotN * IDotN)
float RY = 1.0f-(IDotN*IDotN);
float RX = 1.0f-(RY*RefractionIndex.vector4_f32[0]*RefractionIndex.vector4_f32[0]);
RY = 1.0f-(RY*RefractionIndex.vector4_f32[1]*RefractionIndex.vector4_f32[1]);
if (RX>=0.0f) {
RX = (RefractionIndex.vector4_f32[0]*Incident.vector4_f32[0])-(Normal.vector4_f32[0]*((RefractionIndex.vector4_f32[0]*IDotN)+sqrtf(RX)));
} else {
RX = 0.0f;
}
if (RY>=0.0f) {
RY = (RefractionIndex.vector4_f32[1]*Incident.vector4_f32[1])-(Normal.vector4_f32[1]*((RefractionIndex.vector4_f32[1]*IDotN)+sqrtf(RY)));
} else {
RY = 0.0f;
}
XMVECTOR vResult;
vResult.vector4_f32[0] = RX;
vResult.vector4_f32[1] = RY;
vResult.vector4_f32[2] = 0.0f;
vResult.vector4_f32[3] = 0.0f;
return vResult;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t IL = vget_low_f32( Incident );
float32x2_t NL = vget_low_f32( Normal );
float32x2_t RIL = vget_low_f32( RefractionIndex );
// Get the 2D Dot product of Incident-Normal
float32x2_t vTemp = vmul_f32(IL, NL);
float32x2_t IDotN = vpadd_f32( vTemp, vTemp );
// vTemp = 1.0f - RefractionIndex * RefractionIndex * (1.0f - IDotN * IDotN)
vTemp = vmls_f32( vget_low_f32( g_XMOne ), IDotN, IDotN);
vTemp = vmul_f32(vTemp,RIL);
vTemp = vmls_f32(vget_low_f32( g_XMOne ), vTemp, RIL );
// If any terms are <=0, sqrt() will fail, punt to zero
uint32x2_t vMask = vcgt_f32(vTemp, vget_low_f32(g_XMZero) );
// Sqrt(vTemp)
float32x2_t S0 = vrsqrte_f32(vTemp);
float32x2_t P0 = vmul_f32( vTemp, S0 );
float32x2_t R0 = vrsqrts_f32( P0, S0 );
float32x2_t S1 = vmul_f32( S0, R0 );
float32x2_t P1 = vmul_f32( vTemp, S1 );
float32x2_t R1 = vrsqrts_f32( P1, S1 );
float32x2_t S2 = vmul_f32( S1, R1 );
vTemp = vmul_f32( vTemp, S2 );
// R = RefractionIndex * IDotN + sqrt(R)
vTemp = vmla_f32( vTemp, RIL, IDotN );
// Result = RefractionIndex * Incident - Normal * R
float32x2_t vResult = vmul_f32(RIL,IL);
vResult = vmls_f32( vResult, vTemp, NL );
vResult = vand_u32(vResult,vMask);
return vcombine_f32(vResult, vResult);
#elif defined(_XM_SSE_INTRINSICS_)
// Result = RefractionIndex * Incident - Normal * (RefractionIndex * dot(Incident, Normal) +
// sqrt(1 - RefractionIndex * RefractionIndex * (1 - dot(Incident, Normal) * dot(Incident, Normal))))
// Get the 2D Dot product of Incident-Normal
XMVECTOR IDotN = XMVector2Dot(Incident, Normal);
// vTemp = 1.0f - RefractionIndex * RefractionIndex * (1.0f - IDotN * IDotN)
XMVECTOR vTemp = _mm_mul_ps(IDotN,IDotN);
vTemp = _mm_sub_ps(g_XMOne,vTemp);
vTemp = _mm_mul_ps(vTemp,RefractionIndex);
vTemp = _mm_mul_ps(vTemp,RefractionIndex);
vTemp = _mm_sub_ps(g_XMOne,vTemp);
// If any terms are <=0, sqrt() will fail, punt to zero
XMVECTOR vMask = _mm_cmpgt_ps(vTemp,g_XMZero);
// R = RefractionIndex * IDotN + sqrt(R)
vTemp = _mm_sqrt_ps(vTemp);
XMVECTOR vResult = _mm_mul_ps(RefractionIndex,IDotN);
vTemp = _mm_add_ps(vTemp,vResult);
// Result = RefractionIndex * Incident - Normal * R
vResult = _mm_mul_ps(RefractionIndex,Incident);
vTemp = _mm_mul_ps(vTemp,Normal);
vResult = _mm_sub_ps(vResult,vTemp);
vResult = _mm_and_ps(vResult,vMask);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2Orthogonal
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
-V.vector4_f32[1],
V.vector4_f32[0],
0.f,
0.f
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
static const XMVECTORF32 Negate = { { { -1.f, 1.f, 0, 0 } } };
const float32x2_t zero = vdup_n_f32(0);
float32x2_t VL = vget_low_f32( V );
float32x2_t Result = vmul_f32( vrev64_f32( VL ), vget_low_f32( Negate ) );
return vcombine_f32( Result, zero );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,2,0,1));
vResult = _mm_mul_ps(vResult,g_XMNegateX);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2AngleBetweenNormalsEst
(
FXMVECTOR N1,
FXMVECTOR N2
)
{
XMVECTOR Result = XMVector2Dot(N1, N2);
Result = XMVectorClamp(Result, g_XMNegativeOne.v, g_XMOne.v);
Result = XMVectorACosEst(Result);
return Result;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2AngleBetweenNormals
(
FXMVECTOR N1,
FXMVECTOR N2
)
{
XMVECTOR Result = XMVector2Dot(N1, N2);
Result = XMVectorClamp(Result, g_XMNegativeOne, g_XMOne);
Result = XMVectorACos(Result);
return Result;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2AngleBetweenVectors
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
XMVECTOR L1 = XMVector2ReciprocalLength(V1);
XMVECTOR L2 = XMVector2ReciprocalLength(V2);
XMVECTOR Dot = XMVector2Dot(V1, V2);
L1 = XMVectorMultiply(L1, L2);
XMVECTOR CosAngle = XMVectorMultiply(Dot, L1);
CosAngle = XMVectorClamp(CosAngle, g_XMNegativeOne.v, g_XMOne.v);
return XMVectorACos(CosAngle);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2LinePointDistance
(
FXMVECTOR LinePoint1,
FXMVECTOR LinePoint2,
FXMVECTOR Point
)
{
// Given a vector PointVector from LinePoint1 to Point and a vector
// LineVector from LinePoint1 to LinePoint2, the scaled distance
// PointProjectionScale from LinePoint1 to the perpendicular projection
// of PointVector onto the line is defined as:
//
// PointProjectionScale = dot(PointVector, LineVector) / LengthSq(LineVector)
XMVECTOR PointVector = XMVectorSubtract(Point, LinePoint1);
XMVECTOR LineVector = XMVectorSubtract(LinePoint2, LinePoint1);
XMVECTOR LengthSq = XMVector2LengthSq(LineVector);
XMVECTOR PointProjectionScale = XMVector2Dot(PointVector, LineVector);
PointProjectionScale = XMVectorDivide(PointProjectionScale, LengthSq);
XMVECTOR DistanceVector = XMVectorMultiply(LineVector, PointProjectionScale);
DistanceVector = XMVectorSubtract(PointVector, DistanceVector);
return XMVector2Length(DistanceVector);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2IntersectLine
(
FXMVECTOR Line1Point1,
FXMVECTOR Line1Point2,
FXMVECTOR Line2Point1,
GXMVECTOR Line2Point2
)
{
#if defined(_XM_NO_INTRINSICS_) || defined(_XM_ARM_NEON_INTRINSICS_)
XMVECTOR V1 = XMVectorSubtract(Line1Point2, Line1Point1);
XMVECTOR V2 = XMVectorSubtract(Line2Point2, Line2Point1);
XMVECTOR V3 = XMVectorSubtract(Line1Point1, Line2Point1);
XMVECTOR C1 = XMVector2Cross(V1, V2);
XMVECTOR C2 = XMVector2Cross(V2, V3);
XMVECTOR Result;
const XMVECTOR Zero = XMVectorZero();
if (XMVector2NearEqual(C1, Zero, g_XMEpsilon.v))
{
if (XMVector2NearEqual(C2, Zero, g_XMEpsilon.v))
{
// Coincident
Result = g_XMInfinity.v;
}
else
{
// Parallel
Result = g_XMQNaN.v;
}
}
else
{
// Intersection point = Line1Point1 + V1 * (C2 / C1)
XMVECTOR Scale = XMVectorReciprocal(C1);
Scale = XMVectorMultiply(C2, Scale);
Result = XMVectorMultiplyAdd(V1, Scale, Line1Point1);
}
return Result;
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR V1 = _mm_sub_ps(Line1Point2, Line1Point1);
XMVECTOR V2 = _mm_sub_ps(Line2Point2, Line2Point1);
XMVECTOR V3 = _mm_sub_ps(Line1Point1, Line2Point1);
// Generate the cross products
XMVECTOR C1 = XMVector2Cross(V1, V2);
XMVECTOR C2 = XMVector2Cross(V2, V3);
// If C1 is not close to epsilon, use the calculated value
XMVECTOR vResultMask = _mm_setzero_ps();
vResultMask = _mm_sub_ps(vResultMask,C1);
vResultMask = _mm_max_ps(vResultMask,C1);
// 0xFFFFFFFF if the calculated value is to be used
vResultMask = _mm_cmpgt_ps(vResultMask,g_XMEpsilon);
// If C1 is close to epsilon, which fail type is it? INFINITY or NAN?
XMVECTOR vFailMask = _mm_setzero_ps();
vFailMask = _mm_sub_ps(vFailMask,C2);
vFailMask = _mm_max_ps(vFailMask,C2);
vFailMask = _mm_cmple_ps(vFailMask,g_XMEpsilon);
XMVECTOR vFail = _mm_and_ps(vFailMask,g_XMInfinity);
vFailMask = _mm_andnot_ps(vFailMask,g_XMQNaN);
// vFail is NAN or INF
vFail = _mm_or_ps(vFail,vFailMask);
// Intersection point = Line1Point1 + V1 * (C2 / C1)
XMVECTOR vResult = _mm_div_ps(C2,C1);
vResult = _mm_mul_ps(vResult,V1);
vResult = _mm_add_ps(vResult,Line1Point1);
// Use result, or failure value
vResult = _mm_and_ps(vResult,vResultMask);
vResultMask = _mm_andnot_ps(vResultMask,vFail);
vResult = _mm_or_ps(vResult,vResultMask);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2Transform
(
FXMVECTOR V,
FXMMATRIX M
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Y = XMVectorSplatY(V);
XMVECTOR X = XMVectorSplatX(V);
XMVECTOR Result = XMVectorMultiplyAdd(Y, M.r[1], M.r[3]);
Result = XMVectorMultiplyAdd(X, M.r[0], Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t VL = vget_low_f32( V );
float32x4_t Result = vmlaq_lane_f32( M.r[3], M.r[1], VL, 1 ); // Y
return vmlaq_lane_f32( Result, M.r[0], VL, 0 ); // X
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,0,0,0));
vResult = _mm_mul_ps(vResult,M.r[0]);
XMVECTOR vTemp = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
vTemp = _mm_mul_ps(vTemp,M.r[1]);
vResult = _mm_add_ps(vResult,vTemp);
vResult = _mm_add_ps(vResult,M.r[3]);
return vResult;
#endif
}
//------------------------------------------------------------------------------
_Use_decl_annotations_
inline XMFLOAT4* XM_CALLCONV XMVector2TransformStream
(
XMFLOAT4* pOutputStream,
size_t OutputStride,
const XMFLOAT2* pInputStream,
size_t InputStride,
size_t VectorCount,
FXMMATRIX M
)
{
assert(pOutputStream != nullptr);
assert(pInputStream != nullptr);
assert(InputStride >= sizeof(XMFLOAT2));
_Analysis_assume_(InputStride >= sizeof(XMFLOAT2));
assert(OutputStride >= sizeof(XMFLOAT4));
_Analysis_assume_(OutputStride >= sizeof(XMFLOAT4));
#if defined(_XM_NO_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row3 = M.r[3];
for (size_t i = 0; i < VectorCount; i++)
{
XMVECTOR V = XMLoadFloat2((const XMFLOAT2*)pInputVector);
XMVECTOR Y = XMVectorSplatY(V);
XMVECTOR X = XMVectorSplatX(V);
XMVECTOR Result = XMVectorMultiplyAdd(Y, row1, row3);
Result = XMVectorMultiplyAdd(X, row0, Result);
#ifdef _PREFAST_
#pragma prefast(push)
#pragma prefast(disable : 26015, "PREfast noise: Esp:1307" )
#endif
XMStoreFloat4((XMFLOAT4*)pOutputVector, Result);
#ifdef _PREFAST_
#pragma prefast(pop)
#endif
pInputVector += InputStride;
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row3 = M.r[3];
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if ((InputStride == sizeof(XMFLOAT2)) && (OutputStride == sizeof(XMFLOAT4)))
{
for (size_t j = 0; j < four; ++j)
{
float32x4x2_t V = vld2q_f32( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT2)*4;
float32x2_t r3 = vget_low_f32( row3 );
float32x2_t r = vget_low_f32( row0 );
XMVECTOR vResult0 = vmlaq_lane_f32( vdupq_lane_f32( r3, 0 ), V.val[0], r, 0 ); // Ax+M
XMVECTOR vResult1 = vmlaq_lane_f32( vdupq_lane_f32( r3, 1 ), V.val[0], r, 1 ); // Bx+N
__prefetch( pInputVector );
r3 = vget_high_f32( row3 );
r = vget_high_f32( row0 );
XMVECTOR vResult2 = vmlaq_lane_f32( vdupq_lane_f32( r3, 0 ), V.val[0], r, 0 ); // Cx+O
XMVECTOR vResult3 = vmlaq_lane_f32( vdupq_lane_f32( r3, 1 ), V.val[0], r, 1 ); // Dx+P
__prefetch( pInputVector+XM_CACHE_LINE_SIZE );
r = vget_low_f32( row1 );
vResult0 = vmlaq_lane_f32( vResult0, V.val[1], r, 0 ); // Ax+Ey+M
vResult1 = vmlaq_lane_f32( vResult1, V.val[1], r, 1 ); // Bx+Fy+N
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*2) );
r = vget_high_f32( row1 );
vResult2 = vmlaq_lane_f32( vResult2, V.val[1], r, 0 ); // Cx+Gy+O
vResult3 = vmlaq_lane_f32( vResult3, V.val[1], r, 1 ); // Dx+Hy+P
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*3) );
float32x4x4_t R;
R.val[0] = vResult0;
R.val[1] = vResult1;
R.val[2] = vResult2;
R.val[3] = vResult3;
vst4q_f32( reinterpret_cast<float*>(pOutputVector), R );
pOutputVector += sizeof(XMFLOAT4)*4;
i += 4;
}
}
}
for (; i < VectorCount; i++)
{
float32x2_t V = vld1_f32( reinterpret_cast<const float*>(pInputVector) );
pInputVector += InputStride;
XMVECTOR vResult = vmlaq_lane_f32( row3, row0, V, 0 ); // X
vResult = vmlaq_lane_f32( vResult, row1, V, 1 ); // Y
vst1q_f32( reinterpret_cast<float*>(pOutputVector), vResult );
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_SSE_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row3 = M.r[3];
size_t i = 0;
size_t two = VectorCount >> 1;
if ( two > 0 )
{
if ( InputStride == sizeof(XMFLOAT2) )
{
if ( !((uintptr_t)pOutputStream & 0xF) && !(OutputStride & 0xF) )
{
// Packed input, aligned output
for (size_t j = 0; j < two; ++j)
{
XMVECTOR V = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT2)*2;
XMVECTOR Y = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
XMVECTOR X = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,0,0,0));
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
Y = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,3,3,3));
X = XM_PERMUTE_PS(V,_MM_SHUFFLE(2,2,2,2));
vTemp = _mm_mul_ps( Y, row1 );
vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
i += 2;
}
}
else
{
// Packed input, unaligned output
for (size_t j = 0; j < two; ++j)
{
XMVECTOR V = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT2)*2;
XMVECTOR Y = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
XMVECTOR X = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,0,0,0));
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
Y = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,3,3,3));
X = XM_PERMUTE_PS(V,_MM_SHUFFLE(2,2,2,2));
vTemp = _mm_mul_ps( Y, row1 );
vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
i += 2;
}
}
}
}
if ( !((uintptr_t)pInputVector & 0xF) && !(InputStride & 0xF) )
{
if ( !((uintptr_t)pOutputStream & 0xF) && !(OutputStride & 0xF) )
{
// Aligned input, aligned output
for (; i < VectorCount; i++)
{
XMVECTOR V = _mm_castsi128_ps( _mm_loadl_epi64( reinterpret_cast<const __m128i*>(pInputVector) ) );
pInputVector += InputStride;
XMVECTOR Y = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
XMVECTOR X = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,0,0,0));
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
}
}
else
{
// Aligned input, unaligned output
for (; i < VectorCount; i++)
{
XMVECTOR V = _mm_castsi128_ps( _mm_loadl_epi64( reinterpret_cast<const __m128i*>(pInputVector) ) );
pInputVector += InputStride;
XMVECTOR Y = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
XMVECTOR X = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,0,0,0));
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
}
}
}
else
{
// Unaligned input
for (; i < VectorCount; i++)
{
__m128 x = _mm_load_ss( reinterpret_cast<const float*>(pInputVector) );
__m128 y = _mm_load_ss( reinterpret_cast<const float*>(pInputVector+4) );
pInputVector += InputStride;
XMVECTOR Y = XM_PERMUTE_PS(y,_MM_SHUFFLE(0,0,0,0));
XMVECTOR X = XM_PERMUTE_PS(x,_MM_SHUFFLE(0,0,0,0));
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
}
}
XM_SFENCE();
return pOutputStream;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2TransformCoord
(
FXMVECTOR V,
FXMMATRIX M
)
{
XMVECTOR Y = XMVectorSplatY(V);
XMVECTOR X = XMVectorSplatX(V);
XMVECTOR Result = XMVectorMultiplyAdd(Y, M.r[1], M.r[3]);
Result = XMVectorMultiplyAdd(X, M.r[0], Result);
XMVECTOR W = XMVectorSplatW(Result);
return XMVectorDivide( Result, W );
}
//------------------------------------------------------------------------------
_Use_decl_annotations_
inline XMFLOAT2* XM_CALLCONV XMVector2TransformCoordStream
(
XMFLOAT2* pOutputStream,
size_t OutputStride,
const XMFLOAT2* pInputStream,
size_t InputStride,
size_t VectorCount,
FXMMATRIX M
)
{
assert(pOutputStream != nullptr);
assert(pInputStream != nullptr);
assert(InputStride >= sizeof(XMFLOAT2));
_Analysis_assume_(InputStride >= sizeof(XMFLOAT2));
assert(OutputStride >= sizeof(XMFLOAT2));
_Analysis_assume_(OutputStride >= sizeof(XMFLOAT2));
#if defined(_XM_NO_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row3 = M.r[3];
for (size_t i = 0; i < VectorCount; i++)
{
XMVECTOR V = XMLoadFloat2((const XMFLOAT2*)pInputVector);
XMVECTOR Y = XMVectorSplatY(V);
XMVECTOR X = XMVectorSplatX(V);
XMVECTOR Result = XMVectorMultiplyAdd(Y, row1, row3);
Result = XMVectorMultiplyAdd(X, row0, Result);
XMVECTOR W = XMVectorSplatW(Result);
Result = XMVectorDivide(Result, W);
#ifdef _PREFAST_
#pragma prefast(push)
#pragma prefast(disable : 26015, "PREfast noise: Esp:1307" )
#endif
XMStoreFloat2((XMFLOAT2*)pOutputVector, Result);
#ifdef _PREFAST_
#pragma prefast(pop)
#endif
pInputVector += InputStride;
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row3 = M.r[3];
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if ((InputStride == sizeof(XMFLOAT2)) && (OutputStride == sizeof(XMFLOAT2)))
{
for (size_t j = 0; j < four; ++j)
{
float32x4x2_t V = vld2q_f32( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT2)*4;
float32x2_t r3 = vget_low_f32( row3 );
float32x2_t r = vget_low_f32( row0 );
XMVECTOR vResult0 = vmlaq_lane_f32( vdupq_lane_f32( r3, 0 ), V.val[0], r, 0 ); // Ax+M
XMVECTOR vResult1 = vmlaq_lane_f32( vdupq_lane_f32( r3, 1 ), V.val[0], r, 1 ); // Bx+N
__prefetch( pInputVector );
r3 = vget_high_f32( row3 );
r = vget_high_f32( row0 );
XMVECTOR W = vmlaq_lane_f32( vdupq_lane_f32( r3, 1 ), V.val[0], r, 1 ); // Dx+P
__prefetch( pInputVector+XM_CACHE_LINE_SIZE );
r = vget_low_f32( row1 );
vResult0 = vmlaq_lane_f32( vResult0, V.val[1], r, 0 ); // Ax+Ey+M
vResult1 = vmlaq_lane_f32( vResult1, V.val[1], r, 1 ); // Bx+Fy+N
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*2) );
r = vget_high_f32( row1 );
W = vmlaq_lane_f32( W, V.val[1], r, 1 ); // Dx+Hy+P
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*3) );
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
V.val[0] = vdivq_f32( vResult0, W );
V.val[1] = vdivq_f32( vResult1, W );
#else
// 2 iterations of Newton-Raphson refinement of reciprocal
float32x4_t Reciprocal = vrecpeq_f32(W);
float32x4_t S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
V.val[0] = vmulq_f32( vResult0, Reciprocal );
V.val[1] = vmulq_f32( vResult1, Reciprocal );
#endif
vst2q_f32( reinterpret_cast<float*>(pOutputVector),V );
pOutputVector += sizeof(XMFLOAT2)*4;
i += 4;
}
}
}
for (; i < VectorCount; i++)
{
float32x2_t V = vld1_f32( reinterpret_cast<const float*>(pInputVector) );
pInputVector += InputStride;
XMVECTOR vResult = vmlaq_lane_f32( row3, row0, V, 0 ); // X
vResult = vmlaq_lane_f32( vResult, row1, V, 1 ); // Y
V = vget_high_f32( vResult );
float32x2_t W = vdup_lane_f32( V, 1 );
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
V = vget_low_f32( vResult );
V = vdiv_f32( V, W );
#else
// 2 iterations of Newton-Raphson refinement of reciprocal for W
float32x2_t Reciprocal = vrecpe_f32( W );
float32x2_t S = vrecps_f32( Reciprocal, W );
Reciprocal = vmul_f32( S, Reciprocal );
S = vrecps_f32( Reciprocal, W );
Reciprocal = vmul_f32( S, Reciprocal );
V = vget_low_f32( vResult );
V = vmul_f32( V, Reciprocal );
#endif
vst1_f32( reinterpret_cast<float*>(pOutputVector), V );
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_SSE_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row3 = M.r[3];
size_t i = 0;
size_t two = VectorCount >> 1;
if ( two > 0 )
{
if ( InputStride == sizeof(XMFLOAT2) )
{
if ( OutputStride == sizeof(XMFLOAT2) )
{
if ( !((uintptr_t)pOutputStream & 0xF) )
{
// Packed input, aligned & packed output
for (size_t j = 0; j < two; ++j)
{
XMVECTOR V = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT2)*2;
// Result 1
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
XMVECTOR V1 = _mm_div_ps( vTemp, W );
// Result 2
Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(3, 3, 3, 3) );
X = XM_PERMUTE_PS( V, _MM_SHUFFLE(2, 2, 2, 2) );
vTemp = _mm_mul_ps( Y, row1 );
vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
XMVECTOR V2 = _mm_div_ps( vTemp, W );
vTemp = _mm_movelh_ps( V1, V2 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += sizeof(XMFLOAT2)*2;
i += 2;
}
}
else
{
// Packed input, unaligned & packed output
for (size_t j = 0; j < two; ++j)
{
XMVECTOR V = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT2)*2;
// Result 1
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
XMVECTOR V1 = _mm_div_ps( vTemp, W );
// Result 2
Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(3, 3, 3, 3) );
X = XM_PERMUTE_PS( V, _MM_SHUFFLE(2, 2, 2, 2) );
vTemp = _mm_mul_ps( Y, row1 );
vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
XMVECTOR V2 = _mm_div_ps( vTemp, W );
vTemp = _mm_movelh_ps( V1, V2 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += sizeof(XMFLOAT2)*2;
i += 2;
}
}
}
else
{
// Packed input, unpacked output
for (size_t j = 0; j < two; ++j)
{
XMVECTOR V = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT2)*2;
// Result 1
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp2 = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(1, 1, 1, 1) );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector), vTemp );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector+4), vTemp2 );
pOutputVector += OutputStride;
// Result 2
Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(3, 3, 3, 3) );
X = XM_PERMUTE_PS( V, _MM_SHUFFLE(2, 2, 2, 2) );
vTemp = _mm_mul_ps( Y, row1 );
vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp2 = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(1, 1, 1, 1) );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector), vTemp );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector+4), vTemp2 );
pOutputVector += OutputStride;
i += 2;
}
}
}
}
if ( !((uintptr_t)pInputVector & 0xF) && !(InputStride & 0xF) )
{
// Aligned input
for (; i < VectorCount; i++)
{
XMVECTOR V = _mm_castsi128_ps( _mm_loadl_epi64( reinterpret_cast<const __m128i*>(pInputVector) ) );
pInputVector += InputStride;
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp2 = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(1, 1, 1, 1) );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector), vTemp );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector+4), vTemp2 );
pOutputVector += OutputStride;
}
}
else
{
// Unaligned input
for (; i < VectorCount; i++)
{
__m128 x = _mm_load_ss( reinterpret_cast<const float*>(pInputVector) );
__m128 y = _mm_load_ss( reinterpret_cast<const float*>(pInputVector+4) );
pInputVector += InputStride;
XMVECTOR Y = XM_PERMUTE_PS( y, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR X = XM_PERMUTE_PS( x, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp2 = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(1, 1, 1, 1) );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector), vTemp );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector+4), vTemp2 );
pOutputVector += OutputStride;
}
}
XM_SFENCE();
return pOutputStream;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector2TransformNormal
(
FXMVECTOR V,
FXMMATRIX M
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Y = XMVectorSplatY(V);
XMVECTOR X = XMVectorSplatX(V);
XMVECTOR Result = XMVectorMultiply(Y, M.r[1]);
Result = XMVectorMultiplyAdd(X, M.r[0], Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t VL = vget_low_f32( V );
float32x4_t Result = vmulq_lane_f32( M.r[1], VL, 1 ); // Y
return vmlaq_lane_f32( Result, M.r[0], VL, 0 ); // X
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,0,0,0));
vResult = _mm_mul_ps(vResult,M.r[0]);
XMVECTOR vTemp = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
vTemp = _mm_mul_ps(vTemp,M.r[1]);
vResult = _mm_add_ps(vResult,vTemp);
return vResult;
#endif
}
//------------------------------------------------------------------------------
_Use_decl_annotations_
inline XMFLOAT2* XM_CALLCONV XMVector2TransformNormalStream
(
XMFLOAT2* pOutputStream,
size_t OutputStride,
const XMFLOAT2* pInputStream,
size_t InputStride,
size_t VectorCount,
FXMMATRIX M
)
{
assert(pOutputStream != nullptr);
assert(pInputStream != nullptr);
assert(InputStride >= sizeof(XMFLOAT2));
_Analysis_assume_(InputStride >= sizeof(XMFLOAT2));
assert(OutputStride >= sizeof(XMFLOAT2));
_Analysis_assume_(OutputStride >= sizeof(XMFLOAT2));
#if defined(_XM_NO_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
for (size_t i = 0; i < VectorCount; i++)
{
XMVECTOR V = XMLoadFloat2((const XMFLOAT2*)pInputVector);
XMVECTOR Y = XMVectorSplatY(V);
XMVECTOR X = XMVectorSplatX(V);
XMVECTOR Result = XMVectorMultiply(Y, row1);
Result = XMVectorMultiplyAdd(X, row0, Result);
#ifdef _PREFAST_
#pragma prefast(push)
#pragma prefast(disable : 26015, "PREfast noise: Esp:1307" )
#endif
XMStoreFloat2((XMFLOAT2*)pOutputVector, Result);
#ifdef _PREFAST_
#pragma prefast(pop)
#endif
pInputVector += InputStride;
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if ((InputStride == sizeof(XMFLOAT2)) && (OutputStride == sizeof(XMFLOAT2)))
{
for (size_t j = 0; j < four; ++j)
{
float32x4x2_t V = vld2q_f32( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT2)*4;
float32x2_t r = vget_low_f32( row0 );
XMVECTOR vResult0 = vmulq_lane_f32( V.val[0], r, 0 ); // Ax
XMVECTOR vResult1 = vmulq_lane_f32( V.val[0], r, 1 ); // Bx
__prefetch( pInputVector );
__prefetch( pInputVector+XM_CACHE_LINE_SIZE );
r = vget_low_f32( row1 );
vResult0 = vmlaq_lane_f32( vResult0, V.val[1], r, 0 ); // Ax+Ey
vResult1 = vmlaq_lane_f32( vResult1, V.val[1], r, 1 ); // Bx+Fy
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*2) );
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*3) );
V.val[0] = vResult0;
V.val[1] = vResult1;
vst2q_f32( reinterpret_cast<float*>(pOutputVector), V );
pOutputVector += sizeof(XMFLOAT2)*4;
i += 4;
}
}
}
for (; i < VectorCount; i++)
{
float32x2_t V = vld1_f32( reinterpret_cast<const float*>(pInputVector) );
pInputVector += InputStride;
XMVECTOR vResult = vmulq_lane_f32( row0, V, 0 ); // X
vResult = vmlaq_lane_f32( vResult, row1, V, 1 ); // Y
V = vget_low_f32( vResult );
vst1_f32( reinterpret_cast<float*>(pOutputVector), V );
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_SSE_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
size_t i = 0;
size_t two = VectorCount >> 1;
if ( two > 0 )
{
if ( InputStride == sizeof(XMFLOAT2) )
{
if ( OutputStride == sizeof(XMFLOAT2) )
{
if ( !((uintptr_t)pOutputStream & 0xF) )
{
// Packed input, aligned & packed output
for (size_t j = 0; j < two; ++j)
{
XMVECTOR V = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT2)*2;
// Result 1
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
XMVECTOR V1 = _mm_add_ps( vTemp, vTemp2 );
// Result 2
Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(3, 3, 3, 3) );
X = XM_PERMUTE_PS( V, _MM_SHUFFLE(2, 2, 2, 2) );
vTemp = _mm_mul_ps( Y, row1 );
vTemp2 = _mm_mul_ps( X, row0 );
XMVECTOR V2 = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_movelh_ps( V1, V2 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += sizeof(XMFLOAT2)*2;
i += 2;
}
}
else
{
// Packed input, unaligned & packed output
for (size_t j = 0; j < two; ++j)
{
XMVECTOR V = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT2)*2;
// Result 1
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
XMVECTOR V1 = _mm_add_ps( vTemp, vTemp2 );
// Result 2
Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(3, 3, 3, 3) );
X = XM_PERMUTE_PS( V, _MM_SHUFFLE(2, 2, 2, 2) );
vTemp = _mm_mul_ps( Y, row1 );
vTemp2 = _mm_mul_ps( X, row0 );
XMVECTOR V2 = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_movelh_ps( V1, V2 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += sizeof(XMFLOAT2)*2;
i += 2;
}
}
}
else
{
// Packed input, unpacked output
for (size_t j = 0; j < two; ++j)
{
XMVECTOR V = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT2)*2;
// Result 1
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp2 = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(1, 1, 1, 1) );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector), vTemp );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector+4), vTemp2 );
pOutputVector += OutputStride;
// Result 2
Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(3, 3, 3, 3) );
X = XM_PERMUTE_PS( V, _MM_SHUFFLE(2, 2, 2, 2) );
vTemp = _mm_mul_ps( Y, row1 );
vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp2 = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(1, 1, 1, 1) );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector), vTemp );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector+4), vTemp2 );
pOutputVector += OutputStride;
i += 2;
}
}
}
}
if ( !((uintptr_t)pInputVector & 0xF) && !(InputStride & 0xF) )
{
// Aligned input
for (; i < VectorCount; i++)
{
XMVECTOR V = _mm_castsi128_ps( _mm_loadl_epi64( reinterpret_cast<const __m128i*>(pInputVector) ) );
pInputVector += InputStride;
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp2 = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(1, 1, 1, 1) );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector), vTemp );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector+4), vTemp2 );
pOutputVector += OutputStride;
}
}
else
{
// Unaligned input
for (; i < VectorCount; i++)
{
__m128 x = _mm_load_ss( reinterpret_cast<const float*>(pInputVector) );
__m128 y = _mm_load_ss( reinterpret_cast<const float*>(pInputVector+4) );
pInputVector += InputStride;
XMVECTOR Y = XM_PERMUTE_PS( y, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR X = XM_PERMUTE_PS( x, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp2 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp2 = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(1, 1, 1, 1) );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector), vTemp );
_mm_store_ss( reinterpret_cast<float*>(pOutputVector+4), vTemp2 );
pOutputVector += OutputStride;
}
}
XM_SFENCE();
return pOutputStream;
#endif
}
/****************************************************************************
*
* 3D Vector
*
****************************************************************************/
//------------------------------------------------------------------------------
// Comparison operations
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector3Equal
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] == V2.vector4_f32[0]) && (V1.vector4_f32[1] == V2.vector4_f32[1]) && (V1.vector4_f32[2] == V2.vector4_f32[2])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( (vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU) == 0xFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpeq_ps(V1,V2);
return (((_mm_movemask_ps(vTemp)&7)==7) != 0);
#endif
}
//------------------------------------------------------------------------------
inline uint32_t XM_CALLCONV XMVector3EqualR
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
uint32_t CR = 0;
if ((V1.vector4_f32[0] == V2.vector4_f32[0]) &&
(V1.vector4_f32[1] == V2.vector4_f32[1]) &&
(V1.vector4_f32[2] == V2.vector4_f32[2]))
{
CR = XM_CRMASK_CR6TRUE;
}
else if ((V1.vector4_f32[0] != V2.vector4_f32[0]) &&
(V1.vector4_f32[1] != V2.vector4_f32[1]) &&
(V1.vector4_f32[2] != V2.vector4_f32[2]))
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
uint32_t r = vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU;
uint32_t CR = 0;
if ( r == 0xFFFFFFU )
{
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpeq_ps(V1,V2);
int iTest = _mm_movemask_ps(vTemp)&7;
uint32_t CR = 0;
if (iTest==7)
{
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTest)
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector3EqualInt
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_u32[0] == V2.vector4_u32[0]) && (V1.vector4_u32[1] == V2.vector4_u32[1]) && (V1.vector4_u32[2] == V2.vector4_u32[2])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_u32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( (vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU) == 0xFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vTemp = _mm_cmpeq_epi32(_mm_castps_si128(V1),_mm_castps_si128(V2));
return (((_mm_movemask_ps(_mm_castsi128_ps(vTemp))&7)==7) != 0);
#endif
}
//------------------------------------------------------------------------------
inline uint32_t XM_CALLCONV XMVector3EqualIntR
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
uint32_t CR = 0;
if ((V1.vector4_u32[0] == V2.vector4_u32[0]) &&
(V1.vector4_u32[1] == V2.vector4_u32[1]) &&
(V1.vector4_u32[2] == V2.vector4_u32[2]))
{
CR = XM_CRMASK_CR6TRUE;
}
else if ((V1.vector4_u32[0] != V2.vector4_u32[0]) &&
(V1.vector4_u32[1] != V2.vector4_u32[1]) &&
(V1.vector4_u32[2] != V2.vector4_u32[2]))
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_u32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
uint32_t r = vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU;
uint32_t CR = 0;
if ( r == 0xFFFFFFU )
{
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vTemp = _mm_cmpeq_epi32(_mm_castps_si128(V1),_mm_castps_si128(V2));
int iTemp = _mm_movemask_ps(_mm_castsi128_ps(vTemp))&7;
uint32_t CR = 0;
if (iTemp==7)
{
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTemp)
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector3NearEqual
(
FXMVECTOR V1,
FXMVECTOR V2,
FXMVECTOR Epsilon
)
{
#if defined(_XM_NO_INTRINSICS_)
float dx, dy, dz;
dx = fabsf(V1.vector4_f32[0]-V2.vector4_f32[0]);
dy = fabsf(V1.vector4_f32[1]-V2.vector4_f32[1]);
dz = fabsf(V1.vector4_f32[2]-V2.vector4_f32[2]);
return (((dx <= Epsilon.vector4_f32[0]) &&
(dy <= Epsilon.vector4_f32[1]) &&
(dz <= Epsilon.vector4_f32[2])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x4_t vDelta = vsubq_f32( V1, V2 );
uint32x4_t vResult = vacleq_f32( vDelta, Epsilon );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( (vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU) == 0xFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
// Get the difference
XMVECTOR vDelta = _mm_sub_ps(V1,V2);
// Get the absolute value of the difference
XMVECTOR vTemp = _mm_setzero_ps();
vTemp = _mm_sub_ps(vTemp,vDelta);
vTemp = _mm_max_ps(vTemp,vDelta);
vTemp = _mm_cmple_ps(vTemp,Epsilon);
// w is don't care
return (((_mm_movemask_ps(vTemp)&7)==0x7) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector3NotEqual
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] != V2.vector4_f32[0]) || (V1.vector4_f32[1] != V2.vector4_f32[1]) || (V1.vector4_f32[2] != V2.vector4_f32[2])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( (vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU) != 0xFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpeq_ps(V1,V2);
return (((_mm_movemask_ps(vTemp)&7)!=7) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector3NotEqualInt
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_u32[0] != V2.vector4_u32[0]) || (V1.vector4_u32[1] != V2.vector4_u32[1]) || (V1.vector4_u32[2] != V2.vector4_u32[2])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_u32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( (vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU) != 0xFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vTemp = _mm_cmpeq_epi32(_mm_castps_si128(V1),_mm_castps_si128(V2));
return (((_mm_movemask_ps(_mm_castsi128_ps(vTemp))&7)!=7) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector3Greater
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] > V2.vector4_f32[0]) && (V1.vector4_f32[1] > V2.vector4_f32[1]) && (V1.vector4_f32[2] > V2.vector4_f32[2])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcgtq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( (vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU) == 0xFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpgt_ps(V1,V2);
return (((_mm_movemask_ps(vTemp)&7)==7) != 0);
#endif
}
//------------------------------------------------------------------------------
inline uint32_t XM_CALLCONV XMVector3GreaterR
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
uint32_t CR = 0;
if ((V1.vector4_f32[0] > V2.vector4_f32[0]) &&
(V1.vector4_f32[1] > V2.vector4_f32[1]) &&
(V1.vector4_f32[2] > V2.vector4_f32[2]))
{
CR = XM_CRMASK_CR6TRUE;
}
else if ((V1.vector4_f32[0] <= V2.vector4_f32[0]) &&
(V1.vector4_f32[1] <= V2.vector4_f32[1]) &&
(V1.vector4_f32[2] <= V2.vector4_f32[2]))
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcgtq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
uint32_t r = vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU;
uint32_t CR = 0;
if ( r == 0xFFFFFFU )
{
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpgt_ps(V1,V2);
uint32_t CR = 0;
int iTest = _mm_movemask_ps(vTemp)&7;
if (iTest==7)
{
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTest)
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector3GreaterOrEqual
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] >= V2.vector4_f32[0]) && (V1.vector4_f32[1] >= V2.vector4_f32[1]) && (V1.vector4_f32[2] >= V2.vector4_f32[2])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcgeq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( (vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU) == 0xFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpge_ps(V1,V2);
return (((_mm_movemask_ps(vTemp)&7)==7) != 0);
#endif
}
//------------------------------------------------------------------------------
inline uint32_t XM_CALLCONV XMVector3GreaterOrEqualR
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
uint32_t CR = 0;
if ((V1.vector4_f32[0] >= V2.vector4_f32[0]) &&
(V1.vector4_f32[1] >= V2.vector4_f32[1]) &&
(V1.vector4_f32[2] >= V2.vector4_f32[2]))
{
CR = XM_CRMASK_CR6TRUE;
}
else if ((V1.vector4_f32[0] < V2.vector4_f32[0]) &&
(V1.vector4_f32[1] < V2.vector4_f32[1]) &&
(V1.vector4_f32[2] < V2.vector4_f32[2]))
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcgeq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
uint32_t r = vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU;
uint32_t CR = 0;
if ( r == 0xFFFFFFU )
{
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpge_ps(V1,V2);
uint32_t CR = 0;
int iTest = _mm_movemask_ps(vTemp)&7;
if (iTest==7)
{
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTest)
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector3Less
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] < V2.vector4_f32[0]) && (V1.vector4_f32[1] < V2.vector4_f32[1]) && (V1.vector4_f32[2] < V2.vector4_f32[2])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcltq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( (vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU) == 0xFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmplt_ps(V1,V2);
return (((_mm_movemask_ps(vTemp)&7)==7) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector3LessOrEqual
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] <= V2.vector4_f32[0]) && (V1.vector4_f32[1] <= V2.vector4_f32[1]) && (V1.vector4_f32[2] <= V2.vector4_f32[2])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcleq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( (vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU) == 0xFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmple_ps(V1,V2);
return (((_mm_movemask_ps(vTemp)&7)==7) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector3InBounds
(
FXMVECTOR V,
FXMVECTOR Bounds
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V.vector4_f32[0] <= Bounds.vector4_f32[0] && V.vector4_f32[0] >= -Bounds.vector4_f32[0]) &&
(V.vector4_f32[1] <= Bounds.vector4_f32[1] && V.vector4_f32[1] >= -Bounds.vector4_f32[1]) &&
(V.vector4_f32[2] <= Bounds.vector4_f32[2] && V.vector4_f32[2] >= -Bounds.vector4_f32[2])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Test if less than or equal
uint32x4_t ivTemp1 = vcleq_f32(V,Bounds);
// Negate the bounds
float32x4_t vTemp2 = vnegq_f32(Bounds);
// Test if greater or equal (Reversed)
uint32x4_t ivTemp2 = vcleq_f32(vTemp2,V);
// Blend answers
ivTemp1 = vandq_u32(ivTemp1,ivTemp2);
// in bounds?
int8x8x2_t vTemp = vzip_u8(vget_low_u8(ivTemp1), vget_high_u8(ivTemp1));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( (vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU) == 0xFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
// Test if less than or equal
XMVECTOR vTemp1 = _mm_cmple_ps(V,Bounds);
// Negate the bounds
XMVECTOR vTemp2 = _mm_mul_ps(Bounds,g_XMNegativeOne);
// Test if greater or equal (Reversed)
vTemp2 = _mm_cmple_ps(vTemp2,V);
// Blend answers
vTemp1 = _mm_and_ps(vTemp1,vTemp2);
// x,y and z in bounds? (w is don't care)
return (((_mm_movemask_ps(vTemp1)&0x7)==0x7) != 0);
#else
return XMComparisonAllInBounds(XMVector3InBoundsR(V, Bounds));
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector3IsNaN
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
return (XMISNAN(V.vector4_f32[0]) ||
XMISNAN(V.vector4_f32[1]) ||
XMISNAN(V.vector4_f32[2]));
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Test against itself. NaN is always not equal
uint32x4_t vTempNan = vceqq_f32( V, V );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vTempNan), vget_high_u8(vTempNan));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
// If x or y or z are NaN, the mask is zero
return ( (vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU) != 0xFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
// Test against itself. NaN is always not equal
XMVECTOR vTempNan = _mm_cmpneq_ps(V,V);
// If x or y or z are NaN, the mask is non-zero
return ((_mm_movemask_ps(vTempNan)&7) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector3IsInfinite
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
return (XMISINF(V.vector4_f32[0]) ||
XMISINF(V.vector4_f32[1]) ||
XMISINF(V.vector4_f32[2]));
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Mask off the sign bit
uint32x4_t vTempInf = vandq_u32( V, g_XMAbsMask );
// Compare to infinity
vTempInf = vceqq_f32(vTempInf, g_XMInfinity );
// If any are infinity, the signs are true.
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vTempInf), vget_high_u8(vTempInf));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( (vget_lane_u32(vTemp.val[1], 1) & 0xFFFFFFU) != 0 );
#elif defined(_XM_SSE_INTRINSICS_)
// Mask off the sign bit
__m128 vTemp = _mm_and_ps(V,g_XMAbsMask);
// Compare to infinity
vTemp = _mm_cmpeq_ps(vTemp,g_XMInfinity);
// If x,y or z are infinity, the signs are true.
return ((_mm_movemask_ps(vTemp)&7) != 0);
#endif
}
//------------------------------------------------------------------------------
// Computation operations
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3Dot
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
float fValue = V1.vector4_f32[0] * V2.vector4_f32[0] + V1.vector4_f32[1] * V2.vector4_f32[1] + V1.vector4_f32[2] * V2.vector4_f32[2];
XMVECTORF32 vResult;
vResult.f[0] =
vResult.f[1] =
vResult.f[2] =
vResult.f[3] = fValue;
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x4_t vTemp = vmulq_f32( V1, V2 );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vpadd_f32( v1, v1 );
v2 = vdup_lane_f32( v2, 0 );
v1 = vadd_f32( v1, v2 );
return vcombine_f32( v1, v1 );
#elif defined(_XM_SSE4_INTRINSICS_)
return _mm_dp_ps( V1, V2, 0x7f );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vTemp = _mm_mul_ps(V1,V2);
vTemp = _mm_and_ps(vTemp, g_XMMask3);
vTemp = _mm_hadd_ps(vTemp,vTemp);
return _mm_hadd_ps(vTemp,vTemp);
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product
XMVECTOR vDot = _mm_mul_ps(V1,V2);
// x=Dot.vector4_f32[1], y=Dot.vector4_f32[2]
XMVECTOR vTemp = XM_PERMUTE_PS(vDot,_MM_SHUFFLE(2,1,2,1));
// Result.vector4_f32[0] = x+y
vDot = _mm_add_ss(vDot,vTemp);
// x=Dot.vector4_f32[2]
vTemp = XM_PERMUTE_PS(vTemp,_MM_SHUFFLE(1,1,1,1));
// Result.vector4_f32[0] = (x+y)+z
vDot = _mm_add_ss(vDot,vTemp);
// Splat x
return XM_PERMUTE_PS(vDot,_MM_SHUFFLE(0,0,0,0));
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3Cross
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
// [ V1.y*V2.z - V1.z*V2.y, V1.z*V2.x - V1.x*V2.z, V1.x*V2.y - V1.y*V2.x ]
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 vResult = { { {
(V1.vector4_f32[1] * V2.vector4_f32[2]) - (V1.vector4_f32[2] * V2.vector4_f32[1]),
(V1.vector4_f32[2] * V2.vector4_f32[0]) - (V1.vector4_f32[0] * V2.vector4_f32[2]),
(V1.vector4_f32[0] * V2.vector4_f32[1]) - (V1.vector4_f32[1] * V2.vector4_f32[0]),
0.0f
} } };
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t v1xy = vget_low_f32(V1);
float32x2_t v2xy = vget_low_f32(V2);
float32x2_t v1yx = vrev64_f32( v1xy );
float32x2_t v2yx = vrev64_f32( v2xy );
float32x2_t v1zz = vdup_lane_f32( vget_high_f32(V1), 0 );
float32x2_t v2zz = vdup_lane_f32( vget_high_f32(V2), 0 );
XMVECTOR vResult = vmulq_f32( vcombine_f32(v1yx,v1xy), vcombine_f32(v2zz,v2yx) );
vResult = vmlsq_f32( vResult, vcombine_f32(v1zz,v1yx), vcombine_f32(v2yx,v2xy) );
vResult = veorq_u32( vResult, g_XMFlipY );
return vandq_u32( vResult, g_XMMask3 );
#elif defined(_XM_SSE_INTRINSICS_)
// y1,z1,x1,w1
XMVECTOR vTemp1 = XM_PERMUTE_PS(V1,_MM_SHUFFLE(3,0,2,1));
// z2,x2,y2,w2
XMVECTOR vTemp2 = XM_PERMUTE_PS(V2,_MM_SHUFFLE(3,1,0,2));
// Perform the left operation
XMVECTOR vResult = _mm_mul_ps(vTemp1,vTemp2);
// z1,x1,y1,w1
vTemp1 = XM_PERMUTE_PS(vTemp1,_MM_SHUFFLE(3,0,2,1));
// y2,z2,x2,w2
vTemp2 = XM_PERMUTE_PS(vTemp2,_MM_SHUFFLE(3,1,0,2));
// Perform the right operation
vTemp1 = _mm_mul_ps(vTemp1,vTemp2);
// Subract the right from left, and return answer
vResult = _mm_sub_ps(vResult,vTemp1);
// Set w to zero
return _mm_and_ps(vResult,g_XMMask3);
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3LengthSq
(
FXMVECTOR V
)
{
return XMVector3Dot(V, V);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3ReciprocalLengthEst
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector3LengthSq(V);
Result = XMVectorReciprocalSqrtEst(Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Dot3
float32x4_t vTemp = vmulq_f32( V, V );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vpadd_f32( v1, v1 );
v2 = vdup_lane_f32( v2, 0 );
v1 = vadd_f32( v1, v2 );
// Reciprocal sqrt (estimate)
v2 = vrsqrte_f32( v1 );
return vcombine_f32(v2, v2);
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0x7f );
return _mm_rsqrt_ps( vTemp );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
vLengthSq = _mm_and_ps(vLengthSq, g_XMMask3);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_rsqrt_ps(vLengthSq);
return vLengthSq;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x,y and z
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has z and y
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,2,1,2));
// x+z, y
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
// y,y,y,y
vTemp = XM_PERMUTE_PS(vTemp,_MM_SHUFFLE(1,1,1,1));
// x+z+y,??,??,??
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
// Splat the length squared
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(0,0,0,0));
// Get the reciprocal
vLengthSq = _mm_rsqrt_ps(vLengthSq);
return vLengthSq;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3ReciprocalLength
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector3LengthSq(V);
Result = XMVectorReciprocalSqrt(Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Dot3
float32x4_t vTemp = vmulq_f32( V, V );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vpadd_f32( v1, v1 );
v2 = vdup_lane_f32( v2, 0 );
v1 = vadd_f32( v1, v2 );
// Reciprocal sqrt
float32x2_t S0 = vrsqrte_f32(v1);
float32x2_t P0 = vmul_f32( v1, S0 );
float32x2_t R0 = vrsqrts_f32( P0, S0 );
float32x2_t S1 = vmul_f32( S0, R0 );
float32x2_t P1 = vmul_f32( v1, S1 );
float32x2_t R1 = vrsqrts_f32( P1, S1 );
float32x2_t Result = vmul_f32( S1, R1 );
return vcombine_f32( Result, Result );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0x7f );
XMVECTOR vLengthSq = _mm_sqrt_ps( vTemp );
return _mm_div_ps( g_XMOne, vLengthSq );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vDot = _mm_mul_ps(V, V);
vDot = _mm_and_ps(vDot, g_XMMask3);
vDot = _mm_hadd_ps(vDot, vDot);
vDot = _mm_hadd_ps(vDot, vDot);
vDot = _mm_sqrt_ps(vDot);
vDot = _mm_div_ps(g_XMOne,vDot);
return vDot;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product
XMVECTOR vDot = _mm_mul_ps(V,V);
// x=Dot.y, y=Dot.z
XMVECTOR vTemp = XM_PERMUTE_PS(vDot,_MM_SHUFFLE(2,1,2,1));
// Result.x = x+y
vDot = _mm_add_ss(vDot,vTemp);
// x=Dot.z
vTemp = XM_PERMUTE_PS(vTemp,_MM_SHUFFLE(1,1,1,1));
// Result.x = (x+y)+z
vDot = _mm_add_ss(vDot,vTemp);
// Splat x
vDot = XM_PERMUTE_PS(vDot,_MM_SHUFFLE(0,0,0,0));
// Get the reciprocal
vDot = _mm_sqrt_ps(vDot);
// Get the reciprocal
vDot = _mm_div_ps(g_XMOne,vDot);
return vDot;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3LengthEst
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector3LengthSq(V);
Result = XMVectorSqrtEst(Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Dot3
float32x4_t vTemp = vmulq_f32( V, V );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vpadd_f32( v1, v1 );
v2 = vdup_lane_f32( v2, 0 );
v1 = vadd_f32( v1, v2 );
const float32x2_t zero = vdup_n_f32(0);
uint32x2_t VEqualsZero = vceq_f32( v1, zero );
// Sqrt (estimate)
float32x2_t Result = vrsqrte_f32( v1 );
Result = vmul_f32( v1, Result );
Result = vbsl_f32( VEqualsZero, zero, Result );
return vcombine_f32( Result, Result );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0x7f );
return _mm_sqrt_ps( vTemp );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
vLengthSq = _mm_and_ps(vLengthSq, g_XMMask3);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_sqrt_ps(vLengthSq);
return vLengthSq;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x,y and z
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has z and y
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,2,1,2));
// x+z, y
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
// y,y,y,y
vTemp = XM_PERMUTE_PS(vTemp,_MM_SHUFFLE(1,1,1,1));
// x+z+y,??,??,??
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
// Splat the length squared
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(0,0,0,0));
// Get the length
vLengthSq = _mm_sqrt_ps(vLengthSq);
return vLengthSq;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3Length
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector3LengthSq(V);
Result = XMVectorSqrt(Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Dot3
float32x4_t vTemp = vmulq_f32( V, V );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vpadd_f32( v1, v1 );
v2 = vdup_lane_f32( v2, 0 );
v1 = vadd_f32( v1, v2 );
const float32x2_t zero = vdup_n_f32(0);
uint32x2_t VEqualsZero = vceq_f32( v1, zero );
// Sqrt
float32x2_t S0 = vrsqrte_f32( v1 );
float32x2_t P0 = vmul_f32( v1, S0 );
float32x2_t R0 = vrsqrts_f32( P0, S0 );
float32x2_t S1 = vmul_f32( S0, R0 );
float32x2_t P1 = vmul_f32( v1, S1 );
float32x2_t R1 = vrsqrts_f32( P1, S1 );
float32x2_t Result = vmul_f32( S1, R1 );
Result = vmul_f32( v1, Result );
Result = vbsl_f32( VEqualsZero, zero, Result );
return vcombine_f32( Result, Result );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0x7f );
return _mm_sqrt_ps( vTemp );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
vLengthSq = _mm_and_ps(vLengthSq, g_XMMask3);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_sqrt_ps(vLengthSq);
return vLengthSq;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x,y and z
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has z and y
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,2,1,2));
// x+z, y
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
// y,y,y,y
vTemp = XM_PERMUTE_PS(vTemp,_MM_SHUFFLE(1,1,1,1));
// x+z+y,??,??,??
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
// Splat the length squared
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(0,0,0,0));
// Get the length
vLengthSq = _mm_sqrt_ps(vLengthSq);
return vLengthSq;
#endif
}
//------------------------------------------------------------------------------
// XMVector3NormalizeEst uses a reciprocal estimate and
// returns QNaN on zero and infinite vectors.
inline XMVECTOR XM_CALLCONV XMVector3NormalizeEst
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector3ReciprocalLength(V);
Result = XMVectorMultiply(V, Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Dot3
float32x4_t vTemp = vmulq_f32( V, V );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vpadd_f32( v1, v1 );
v2 = vdup_lane_f32( v2, 0 );
v1 = vadd_f32( v1, v2 );
// Reciprocal sqrt (estimate)
v2 = vrsqrte_f32( v1 );
// Normalize
return vmulq_f32( V, vcombine_f32(v2,v2) );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0x7f );
XMVECTOR vResult = _mm_rsqrt_ps( vTemp );
return _mm_mul_ps(vResult, V);
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vDot = _mm_mul_ps(V, V);
vDot = _mm_and_ps(vDot, g_XMMask3);
vDot = _mm_hadd_ps(vDot, vDot);
vDot = _mm_hadd_ps(vDot, vDot);
vDot = _mm_rsqrt_ps(vDot);
vDot = _mm_mul_ps(vDot,V);
return vDot;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product
XMVECTOR vDot = _mm_mul_ps(V,V);
// x=Dot.y, y=Dot.z
XMVECTOR vTemp = XM_PERMUTE_PS(vDot,_MM_SHUFFLE(2,1,2,1));
// Result.x = x+y
vDot = _mm_add_ss(vDot,vTemp);
// x=Dot.z
vTemp = XM_PERMUTE_PS(vTemp,_MM_SHUFFLE(1,1,1,1));
// Result.x = (x+y)+z
vDot = _mm_add_ss(vDot,vTemp);
// Splat x
vDot = XM_PERMUTE_PS(vDot,_MM_SHUFFLE(0,0,0,0));
// Get the reciprocal
vDot = _mm_rsqrt_ps(vDot);
// Perform the normalization
vDot = _mm_mul_ps(vDot,V);
return vDot;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3Normalize
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
float fLength;
XMVECTOR vResult;
vResult = XMVector3Length( V );
fLength = vResult.vector4_f32[0];
// Prevent divide by zero
if (fLength > 0) {
fLength = 1.0f/fLength;
}
vResult.vector4_f32[0] = V.vector4_f32[0]*fLength;
vResult.vector4_f32[1] = V.vector4_f32[1]*fLength;
vResult.vector4_f32[2] = V.vector4_f32[2]*fLength;
vResult.vector4_f32[3] = V.vector4_f32[3]*fLength;
return vResult;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Dot3
float32x4_t vTemp = vmulq_f32( V, V );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vpadd_f32( v1, v1 );
v2 = vdup_lane_f32( v2, 0 );
v1 = vadd_f32( v1, v2 );
uint32x2_t VEqualsZero = vceq_f32( v1, vdup_n_f32(0) );
uint32x2_t VEqualsInf = vceq_f32( v1, vget_low_f32(g_XMInfinity) );
// Reciprocal sqrt (2 iterations of Newton-Raphson)
float32x2_t S0 = vrsqrte_f32( v1 );
float32x2_t P0 = vmul_f32( v1, S0 );
float32x2_t R0 = vrsqrts_f32( P0, S0 );
float32x2_t S1 = vmul_f32( S0, R0 );
float32x2_t P1 = vmul_f32( v1, S1 );
float32x2_t R1 = vrsqrts_f32( P1, S1 );
v2 = vmul_f32( S1, R1 );
// Normalize
XMVECTOR vResult = vmulq_f32( V, vcombine_f32(v2,v2) );
vResult = vbslq_f32( vcombine_f32(VEqualsZero,VEqualsZero), vdupq_n_f32(0), vResult );
return vbslq_f32( vcombine_f32(VEqualsInf,VEqualsInf), g_XMQNaN, vResult );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vLengthSq = _mm_dp_ps( V, V, 0x7f );
// Prepare for the division
XMVECTOR vResult = _mm_sqrt_ps(vLengthSq);
// Create zero with a single instruction
XMVECTOR vZeroMask = _mm_setzero_ps();
// Test for a divide by zero (Must be FP to detect -0.0)
vZeroMask = _mm_cmpneq_ps(vZeroMask,vResult);
// Failsafe on zero (Or epsilon) length planes
// If the length is infinity, set the elements to zero
vLengthSq = _mm_cmpneq_ps(vLengthSq,g_XMInfinity);
// Divide to perform the normalization
vResult = _mm_div_ps(V,vResult);
// Any that are infinity, set to zero
vResult = _mm_and_ps(vResult,vZeroMask);
// Select qnan or result based on infinite length
XMVECTOR vTemp1 = _mm_andnot_ps(vLengthSq,g_XMQNaN);
XMVECTOR vTemp2 = _mm_and_ps(vResult,vLengthSq);
vResult = _mm_or_ps(vTemp1,vTemp2);
return vResult;
#elif defined(_XM_SSE3_INTRINSICS_)
// Perform the dot product on x,y and z only
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
vLengthSq = _mm_and_ps(vLengthSq, g_XMMask3);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
// Prepare for the division
XMVECTOR vResult = _mm_sqrt_ps(vLengthSq);
// Create zero with a single instruction
XMVECTOR vZeroMask = _mm_setzero_ps();
// Test for a divide by zero (Must be FP to detect -0.0)
vZeroMask = _mm_cmpneq_ps(vZeroMask,vResult);
// Failsafe on zero (Or epsilon) length planes
// If the length is infinity, set the elements to zero
vLengthSq = _mm_cmpneq_ps(vLengthSq,g_XMInfinity);
// Divide to perform the normalization
vResult = _mm_div_ps(V,vResult);
// Any that are infinity, set to zero
vResult = _mm_and_ps(vResult,vZeroMask);
// Select qnan or result based on infinite length
XMVECTOR vTemp1 = _mm_andnot_ps(vLengthSq,g_XMQNaN);
XMVECTOR vTemp2 = _mm_and_ps(vResult,vLengthSq);
vResult = _mm_or_ps(vTemp1,vTemp2);
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x,y and z only
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(2,1,2,1));
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
vTemp = XM_PERMUTE_PS(vTemp,_MM_SHUFFLE(1,1,1,1));
vLengthSq = _mm_add_ss(vLengthSq,vTemp);
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(0,0,0,0));
// Prepare for the division
XMVECTOR vResult = _mm_sqrt_ps(vLengthSq);
// Create zero with a single instruction
XMVECTOR vZeroMask = _mm_setzero_ps();
// Test for a divide by zero (Must be FP to detect -0.0)
vZeroMask = _mm_cmpneq_ps(vZeroMask,vResult);
// Failsafe on zero (Or epsilon) length planes
// If the length is infinity, set the elements to zero
vLengthSq = _mm_cmpneq_ps(vLengthSq,g_XMInfinity);
// Divide to perform the normalization
vResult = _mm_div_ps(V,vResult);
// Any that are infinity, set to zero
vResult = _mm_and_ps(vResult,vZeroMask);
// Select qnan or result based on infinite length
XMVECTOR vTemp1 = _mm_andnot_ps(vLengthSq,g_XMQNaN);
XMVECTOR vTemp2 = _mm_and_ps(vResult,vLengthSq);
vResult = _mm_or_ps(vTemp1,vTemp2);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3ClampLength
(
FXMVECTOR V,
float LengthMin,
float LengthMax
)
{
XMVECTOR ClampMax = XMVectorReplicate(LengthMax);
XMVECTOR ClampMin = XMVectorReplicate(LengthMin);
return XMVector3ClampLengthV(V, ClampMin, ClampMax);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3ClampLengthV
(
FXMVECTOR V,
FXMVECTOR LengthMin,
FXMVECTOR LengthMax
)
{
assert((XMVectorGetY(LengthMin) == XMVectorGetX(LengthMin)) && (XMVectorGetZ(LengthMin) == XMVectorGetX(LengthMin)));
assert((XMVectorGetY(LengthMax) == XMVectorGetX(LengthMax)) && (XMVectorGetZ(LengthMax) == XMVectorGetX(LengthMax)));
assert(XMVector3GreaterOrEqual(LengthMin, XMVectorZero()));
assert(XMVector3GreaterOrEqual(LengthMax, XMVectorZero()));
assert(XMVector3GreaterOrEqual(LengthMax, LengthMin));
XMVECTOR LengthSq = XMVector3LengthSq(V);
const XMVECTOR Zero = XMVectorZero();
XMVECTOR RcpLength = XMVectorReciprocalSqrt(LengthSq);
XMVECTOR InfiniteLength = XMVectorEqualInt(LengthSq, g_XMInfinity.v);
XMVECTOR ZeroLength = XMVectorEqual(LengthSq, Zero);
XMVECTOR Normal = XMVectorMultiply(V, RcpLength);
XMVECTOR Length = XMVectorMultiply(LengthSq, RcpLength);
XMVECTOR Select = XMVectorEqualInt(InfiniteLength, ZeroLength);
Length = XMVectorSelect(LengthSq, Length, Select);
Normal = XMVectorSelect(LengthSq, Normal, Select);
XMVECTOR ControlMax = XMVectorGreater(Length, LengthMax);
XMVECTOR ControlMin = XMVectorLess(Length, LengthMin);
XMVECTOR ClampLength = XMVectorSelect(Length, LengthMax, ControlMax);
ClampLength = XMVectorSelect(ClampLength, LengthMin, ControlMin);
XMVECTOR Result = XMVectorMultiply(Normal, ClampLength);
// Preserve the original vector (with no precision loss) if the length falls within the given range
XMVECTOR Control = XMVectorEqualInt(ControlMax, ControlMin);
Result = XMVectorSelect(Result, V, Control);
return Result;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3Reflect
(
FXMVECTOR Incident,
FXMVECTOR Normal
)
{
// Result = Incident - (2 * dot(Incident, Normal)) * Normal
XMVECTOR Result = XMVector3Dot(Incident, Normal);
Result = XMVectorAdd(Result, Result);
Result = XMVectorNegativeMultiplySubtract(Result, Normal, Incident);
return Result;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3Refract
(
FXMVECTOR Incident,
FXMVECTOR Normal,
float RefractionIndex
)
{
XMVECTOR Index = XMVectorReplicate(RefractionIndex);
return XMVector3RefractV(Incident, Normal, Index);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3RefractV
(
FXMVECTOR Incident,
FXMVECTOR Normal,
FXMVECTOR RefractionIndex
)
{
// Result = RefractionIndex * Incident - Normal * (RefractionIndex * dot(Incident, Normal) +
// sqrt(1 - RefractionIndex * RefractionIndex * (1 - dot(Incident, Normal) * dot(Incident, Normal))))
#if defined(_XM_NO_INTRINSICS_)
const XMVECTOR Zero = XMVectorZero();
XMVECTOR IDotN = XMVector3Dot(Incident, Normal);
// R = 1.0f - RefractionIndex * RefractionIndex * (1.0f - IDotN * IDotN)
XMVECTOR R = XMVectorNegativeMultiplySubtract(IDotN, IDotN, g_XMOne.v);
R = XMVectorMultiply(R, RefractionIndex);
R = XMVectorNegativeMultiplySubtract(R, RefractionIndex, g_XMOne.v);
if (XMVector4LessOrEqual(R, Zero))
{
// Total internal reflection
return Zero;
}
else
{
// R = RefractionIndex * IDotN + sqrt(R)
R = XMVectorSqrt(R);
R = XMVectorMultiplyAdd(RefractionIndex, IDotN, R);
// Result = RefractionIndex * Incident - Normal * R
XMVECTOR Result = XMVectorMultiply(RefractionIndex, Incident);
Result = XMVectorNegativeMultiplySubtract(Normal, R, Result);
return Result;
}
#elif defined(_XM_ARM_NEON_INTRINSICS_)
XMVECTOR IDotN = XMVector3Dot(Incident,Normal);
// R = 1.0f - RefractionIndex * RefractionIndex * (1.0f - IDotN * IDotN)
float32x4_t R = vmlsq_f32( g_XMOne, IDotN, IDotN);
R = vmulq_f32(R, RefractionIndex);
R = vmlsq_f32(g_XMOne, R, RefractionIndex );
uint32x4_t vResult = vcleq_f32(R,g_XMZero);
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
if ( vget_lane_u32(vTemp.val[1], 1) == 0xFFFFFFFFU )
{
// Total internal reflection
vResult = g_XMZero;
}
else
{
// Sqrt(R)
float32x4_t S0 = vrsqrteq_f32(R);
float32x4_t P0 = vmulq_f32( R, S0 );
float32x4_t R0 = vrsqrtsq_f32( P0, S0 );
float32x4_t S1 = vmulq_f32( S0, R0 );
float32x4_t P1 = vmulq_f32( R, S1 );
float32x4_t R1 = vrsqrtsq_f32( P1, S1 );
float32x4_t S2 = vmulq_f32( S1, R1 );
R = vmulq_f32( R, S2 );
// R = RefractionIndex * IDotN + sqrt(R)
R = vmlaq_f32( R, RefractionIndex, IDotN );
// Result = RefractionIndex * Incident - Normal * R
vResult = vmulq_f32(RefractionIndex, Incident);
vResult = vmlsq_f32( vResult, R, Normal );
}
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
// Result = RefractionIndex * Incident - Normal * (RefractionIndex * dot(Incident, Normal) +
// sqrt(1 - RefractionIndex * RefractionIndex * (1 - dot(Incident, Normal) * dot(Incident, Normal))))
XMVECTOR IDotN = XMVector3Dot(Incident, Normal);
// R = 1.0f - RefractionIndex * RefractionIndex * (1.0f - IDotN * IDotN)
XMVECTOR R = _mm_mul_ps(IDotN, IDotN);
R = _mm_sub_ps(g_XMOne,R);
R = _mm_mul_ps(R, RefractionIndex);
R = _mm_mul_ps(R, RefractionIndex);
R = _mm_sub_ps(g_XMOne,R);
XMVECTOR vResult = _mm_cmple_ps(R,g_XMZero);
if (_mm_movemask_ps(vResult)==0x0f)
{
// Total internal reflection
vResult = g_XMZero;
}
else
{
// R = RefractionIndex * IDotN + sqrt(R)
R = _mm_sqrt_ps(R);
vResult = _mm_mul_ps(RefractionIndex,IDotN);
R = _mm_add_ps(R,vResult);
// Result = RefractionIndex * Incident - Normal * R
vResult = _mm_mul_ps(RefractionIndex, Incident);
R = _mm_mul_ps(R,Normal);
vResult = _mm_sub_ps(vResult,R);
}
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3Orthogonal
(
FXMVECTOR V
)
{
XMVECTOR Zero = XMVectorZero();
XMVECTOR Z = XMVectorSplatZ(V);
XMVECTOR YZYY = XMVectorSwizzle<XM_SWIZZLE_Y, XM_SWIZZLE_Z, XM_SWIZZLE_Y, XM_SWIZZLE_Y>(V);
XMVECTOR NegativeV = XMVectorSubtract(Zero, V);
XMVECTOR ZIsNegative = XMVectorLess(Z, Zero);
XMVECTOR YZYYIsNegative = XMVectorLess(YZYY, Zero);
XMVECTOR S = XMVectorAdd(YZYY, Z);
XMVECTOR D = XMVectorSubtract(YZYY, Z);
XMVECTOR Select = XMVectorEqualInt(ZIsNegative, YZYYIsNegative);
XMVECTOR R0 = XMVectorPermute<XM_PERMUTE_1X, XM_PERMUTE_0X, XM_PERMUTE_0X, XM_PERMUTE_0X>(NegativeV, S);
XMVECTOR R1 = XMVectorPermute<XM_PERMUTE_1X, XM_PERMUTE_0X, XM_PERMUTE_0X, XM_PERMUTE_0X>(V, D);
return XMVectorSelect(R1, R0, Select);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3AngleBetweenNormalsEst
(
FXMVECTOR N1,
FXMVECTOR N2
)
{
XMVECTOR Result = XMVector3Dot(N1, N2);
Result = XMVectorClamp(Result, g_XMNegativeOne.v, g_XMOne.v);
Result = XMVectorACosEst(Result);
return Result;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3AngleBetweenNormals
(
FXMVECTOR N1,
FXMVECTOR N2
)
{
XMVECTOR Result = XMVector3Dot(N1, N2);
Result = XMVectorClamp(Result, g_XMNegativeOne.v, g_XMOne.v);
Result = XMVectorACos(Result);
return Result;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3AngleBetweenVectors
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
XMVECTOR L1 = XMVector3ReciprocalLength(V1);
XMVECTOR L2 = XMVector3ReciprocalLength(V2);
XMVECTOR Dot = XMVector3Dot(V1, V2);
L1 = XMVectorMultiply(L1, L2);
XMVECTOR CosAngle = XMVectorMultiply(Dot, L1);
CosAngle = XMVectorClamp(CosAngle, g_XMNegativeOne.v, g_XMOne.v);
return XMVectorACos(CosAngle);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3LinePointDistance
(
FXMVECTOR LinePoint1,
FXMVECTOR LinePoint2,
FXMVECTOR Point
)
{
// Given a vector PointVector from LinePoint1 to Point and a vector
// LineVector from LinePoint1 to LinePoint2, the scaled distance
// PointProjectionScale from LinePoint1 to the perpendicular projection
// of PointVector onto the line is defined as:
//
// PointProjectionScale = dot(PointVector, LineVector) / LengthSq(LineVector)
XMVECTOR PointVector = XMVectorSubtract(Point, LinePoint1);
XMVECTOR LineVector = XMVectorSubtract(LinePoint2, LinePoint1);
XMVECTOR LengthSq = XMVector3LengthSq(LineVector);
XMVECTOR PointProjectionScale = XMVector3Dot(PointVector, LineVector);
PointProjectionScale = XMVectorDivide(PointProjectionScale, LengthSq);
XMVECTOR DistanceVector = XMVectorMultiply(LineVector, PointProjectionScale);
DistanceVector = XMVectorSubtract(PointVector, DistanceVector);
return XMVector3Length(DistanceVector);
}
//------------------------------------------------------------------------------
_Use_decl_annotations_
inline void XM_CALLCONV XMVector3ComponentsFromNormal
(
XMVECTOR* pParallel,
XMVECTOR* pPerpendicular,
FXMVECTOR V,
FXMVECTOR Normal
)
{
assert(pParallel != nullptr);
assert(pPerpendicular != nullptr);
XMVECTOR Scale = XMVector3Dot(V, Normal);
XMVECTOR Parallel = XMVectorMultiply(Normal, Scale);
*pParallel = Parallel;
*pPerpendicular = XMVectorSubtract(V, Parallel);
}
//------------------------------------------------------------------------------
// Transform a vector using a rotation expressed as a unit quaternion
inline XMVECTOR XM_CALLCONV XMVector3Rotate
(
FXMVECTOR V,
FXMVECTOR RotationQuaternion
)
{
XMVECTOR A = XMVectorSelect(g_XMSelect1110.v, V, g_XMSelect1110.v);
XMVECTOR Q = XMQuaternionConjugate(RotationQuaternion);
XMVECTOR Result = XMQuaternionMultiply(Q, A);
return XMQuaternionMultiply(Result, RotationQuaternion);
}
//------------------------------------------------------------------------------
// Transform a vector using the inverse of a rotation expressed as a unit quaternion
inline XMVECTOR XM_CALLCONV XMVector3InverseRotate
(
FXMVECTOR V,
FXMVECTOR RotationQuaternion
)
{
XMVECTOR A = XMVectorSelect(g_XMSelect1110.v, V, g_XMSelect1110.v);
XMVECTOR Result = XMQuaternionMultiply(RotationQuaternion, A);
XMVECTOR Q = XMQuaternionConjugate(RotationQuaternion);
return XMQuaternionMultiply(Result, Q);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3Transform
(
FXMVECTOR V,
FXMMATRIX M
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Z = XMVectorSplatZ(V);
XMVECTOR Y = XMVectorSplatY(V);
XMVECTOR X = XMVectorSplatX(V);
XMVECTOR Result = XMVectorMultiplyAdd(Z, M.r[2], M.r[3]);
Result = XMVectorMultiplyAdd(Y, M.r[1], Result);
Result = XMVectorMultiplyAdd(X, M.r[0], Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t VL = vget_low_f32( V );
XMVECTOR vResult = vmlaq_lane_f32( M.r[3], M.r[0], VL, 0 ); // X
vResult = vmlaq_lane_f32( vResult, M.r[1], VL, 1 ); // Y
return vmlaq_lane_f32( vResult, M.r[2], vget_high_f32( V ), 0 ); // Z
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,0,0,0));
vResult = _mm_mul_ps(vResult,M.r[0]);
XMVECTOR vTemp = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
vTemp = _mm_mul_ps(vTemp,M.r[1]);
vResult = _mm_add_ps(vResult,vTemp);
vTemp = XM_PERMUTE_PS(V,_MM_SHUFFLE(2,2,2,2));
vTemp = _mm_mul_ps(vTemp,M.r[2]);
vResult = _mm_add_ps(vResult,vTemp);
vResult = _mm_add_ps(vResult,M.r[3]);
return vResult;
#endif
}
//------------------------------------------------------------------------------
#ifdef _PREFAST_
#pragma prefast(push)
#pragma prefast(disable : 26015 26019, "PREfast noise: Esp:1307" )
#endif
_Use_decl_annotations_
inline XMFLOAT4* XM_CALLCONV XMVector3TransformStream
(
XMFLOAT4* pOutputStream,
size_t OutputStride,
const XMFLOAT3* pInputStream,
size_t InputStride,
size_t VectorCount,
FXMMATRIX M
)
{
assert(pOutputStream != nullptr);
assert(pInputStream != nullptr);
assert(InputStride >= sizeof(XMFLOAT3));
_Analysis_assume_(InputStride >= sizeof(XMFLOAT3));
assert(OutputStride >= sizeof(XMFLOAT4));
_Analysis_assume_(OutputStride >= sizeof(XMFLOAT4));
#if defined(_XM_NO_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row2 = M.r[2];
const XMVECTOR row3 = M.r[3];
for (size_t i = 0; i < VectorCount; i++)
{
XMVECTOR V = XMLoadFloat3((const XMFLOAT3*)pInputVector);
XMVECTOR Z = XMVectorSplatZ(V);
XMVECTOR Y = XMVectorSplatY(V);
XMVECTOR X = XMVectorSplatX(V);
XMVECTOR Result = XMVectorMultiplyAdd(Z, row2, row3);
Result = XMVectorMultiplyAdd(Y, row1, Result);
Result = XMVectorMultiplyAdd(X, row0, Result);
XMStoreFloat4((XMFLOAT4*)pOutputVector, Result);
pInputVector += InputStride;
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row2 = M.r[2];
const XMVECTOR row3 = M.r[3];
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if ((InputStride == sizeof(XMFLOAT3)) && (OutputStride == sizeof(XMFLOAT4)))
{
for (size_t j = 0; j < four; ++j)
{
float32x4x3_t V = vld3q_f32( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT3)*4;
float32x2_t r3 = vget_low_f32( row3 );
float32x2_t r = vget_low_f32( row0 );
XMVECTOR vResult0 = vmlaq_lane_f32( vdupq_lane_f32( r3, 0 ), V.val[0], r, 0 ); // Ax+M
XMVECTOR vResult1 = vmlaq_lane_f32( vdupq_lane_f32( r3, 1 ), V.val[0], r, 1 ); // Bx+N
__prefetch( pInputVector );
r3 = vget_high_f32( row3 );
r = vget_high_f32( row0 );
XMVECTOR vResult2 = vmlaq_lane_f32( vdupq_lane_f32( r3, 0 ), V.val[0], r, 0 ); // Cx+O
XMVECTOR vResult3 = vmlaq_lane_f32( vdupq_lane_f32( r3, 1 ), V.val[0], r, 1 ); // Dx+P
__prefetch( pInputVector+XM_CACHE_LINE_SIZE );
r = vget_low_f32( row1 );
vResult0 = vmlaq_lane_f32( vResult0, V.val[1], r, 0 ); // Ax+Ey+M
vResult1 = vmlaq_lane_f32( vResult1, V.val[1], r, 1 ); // Bx+Fy+N
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*2) );
r = vget_high_f32( row1 );
vResult2 = vmlaq_lane_f32( vResult2, V.val[1], r, 0 ); // Cx+Gy+O
vResult3 = vmlaq_lane_f32( vResult3, V.val[1], r, 1 ); // Dx+Hy+P
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*3) );
r = vget_low_f32( row2 );
vResult0 = vmlaq_lane_f32( vResult0, V.val[2], r, 0 ); // Ax+Ey+Iz+M
vResult1 = vmlaq_lane_f32( vResult1, V.val[2], r, 1 ); // Bx+Fy+Jz+N
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*4) );
r = vget_high_f32( row2 );
vResult2 = vmlaq_lane_f32( vResult2, V.val[2], r, 0 ); // Cx+Gy+Kz+O
vResult3 = vmlaq_lane_f32( vResult3, V.val[2], r, 1 ); // Dx+Hy+Lz+P
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*5) );
float32x4x4_t R;
R.val[0] = vResult0;
R.val[1] = vResult1;
R.val[2] = vResult2;
R.val[3] = vResult3;
vst4q_f32( reinterpret_cast<float*>(pOutputVector), R );
pOutputVector += sizeof(XMFLOAT4)*4;
i += 4;
}
}
}
for (; i < VectorCount; i++)
{
float32x2_t VL = vld1_f32( reinterpret_cast<const float*>(pInputVector) );
float32x2_t zero = vdup_n_f32(0);
float32x2_t VH = vld1_lane_f32( reinterpret_cast<const float*>(pInputVector)+2, zero, 0 );
pInputVector += InputStride;
XMVECTOR vResult = vmlaq_lane_f32( row3, row0, VL, 0 ); // X
vResult = vmlaq_lane_f32( vResult, row1, VL, 1); // Y
vResult = vmlaq_lane_f32( vResult, row2, VH, 0 ); // Z
vst1q_f32( reinterpret_cast<float*>(pOutputVector), vResult );
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_SSE_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row2 = M.r[2];
const XMVECTOR row3 = M.r[3];
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if (InputStride == sizeof(XMFLOAT3))
{
if ( !((uintptr_t)pOutputStream & 0xF) && !(OutputStride & 0xF) )
{
// Packed input, aligned output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, row2 );
XMVECTOR vTemp2 = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
// Result 2
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
// Result 3
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
// Result 4
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
i += 4;
}
}
else
{
// Packed input, unaligned output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, row2 );
XMVECTOR vTemp2 = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
// Result 2
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
// Result 3
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
// Result 4
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
i += 4;
}
}
}
}
if ( !((uintptr_t)pOutputStream & 0xF) && !(OutputStride & 0xF) )
{
// Aligned output
for (; i < VectorCount; ++i)
{
XMVECTOR V = XMLoadFloat3(reinterpret_cast<const XMFLOAT3*>(pInputVector));
pInputVector += InputStride;
XMVECTOR Z = XM_PERMUTE_PS( V, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, row2 );
XMVECTOR vTemp2 = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
}
}
else
{
// Unaligned output
for (; i < VectorCount; ++i)
{
XMVECTOR V = XMLoadFloat3(reinterpret_cast<const XMFLOAT3*>(pInputVector));
pInputVector += InputStride;
XMVECTOR Z = XM_PERMUTE_PS( V, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, row2 );
XMVECTOR vTemp2 = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), vTemp );
pOutputVector += OutputStride;
}
}
XM_SFENCE();
return pOutputStream;
#endif
}
#ifdef _PREFAST_
#pragma prefast(pop)
#endif
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3TransformCoord
(
FXMVECTOR V,
FXMMATRIX M
)
{
XMVECTOR Z = XMVectorSplatZ(V);
XMVECTOR Y = XMVectorSplatY(V);
XMVECTOR X = XMVectorSplatX(V);
XMVECTOR Result = XMVectorMultiplyAdd(Z, M.r[2], M.r[3]);
Result = XMVectorMultiplyAdd(Y, M.r[1], Result);
Result = XMVectorMultiplyAdd(X, M.r[0], Result);
XMVECTOR W = XMVectorSplatW(Result);
return XMVectorDivide( Result, W );
}
//------------------------------------------------------------------------------
#ifdef _PREFAST_
#pragma prefast(push)
#pragma prefast(disable : 26015 26019, "PREfast noise: Esp:1307" )
#endif
_Use_decl_annotations_
inline XMFLOAT3* XM_CALLCONV XMVector3TransformCoordStream
(
XMFLOAT3* pOutputStream,
size_t OutputStride,
const XMFLOAT3* pInputStream,
size_t InputStride,
size_t VectorCount,
FXMMATRIX M
)
{
assert(pOutputStream != nullptr);
assert(pInputStream != nullptr);
assert(InputStride >= sizeof(XMFLOAT3));
_Analysis_assume_(InputStride >= sizeof(XMFLOAT3));
assert(OutputStride >= sizeof(XMFLOAT3));
_Analysis_assume_(OutputStride >= sizeof(XMFLOAT3));
#if defined(_XM_NO_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row2 = M.r[2];
const XMVECTOR row3 = M.r[3];
for (size_t i = 0; i < VectorCount; i++)
{
XMVECTOR V = XMLoadFloat3((const XMFLOAT3*)pInputVector);
XMVECTOR Z = XMVectorSplatZ(V);
XMVECTOR Y = XMVectorSplatY(V);
XMVECTOR X = XMVectorSplatX(V);
XMVECTOR Result = XMVectorMultiplyAdd(Z, row2, row3);
Result = XMVectorMultiplyAdd(Y, row1, Result);
Result = XMVectorMultiplyAdd(X, row0, Result);
XMVECTOR W = XMVectorSplatW(Result);
Result = XMVectorDivide(Result, W);
XMStoreFloat3((XMFLOAT3*)pOutputVector, Result);
pInputVector += InputStride;
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row2 = M.r[2];
const XMVECTOR row3 = M.r[3];
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if ((InputStride == sizeof(XMFLOAT3)) && (OutputStride == sizeof(XMFLOAT3)))
{
for (size_t j = 0; j < four; ++j)
{
float32x4x3_t V = vld3q_f32( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT3)*4;
float32x2_t r3 = vget_low_f32( row3 );
float32x2_t r = vget_low_f32( row0 );
XMVECTOR vResult0 = vmlaq_lane_f32( vdupq_lane_f32( r3, 0 ), V.val[0], r, 0 ); // Ax+M
XMVECTOR vResult1 = vmlaq_lane_f32( vdupq_lane_f32( r3, 1 ), V.val[0], r, 1 ); // Bx+N
__prefetch( pInputVector );
r3 = vget_high_f32( row3 );
r = vget_high_f32( row0 );
XMVECTOR vResult2 = vmlaq_lane_f32( vdupq_lane_f32( r3, 0 ), V.val[0], r, 0 ); // Cx+O
XMVECTOR W = vmlaq_lane_f32( vdupq_lane_f32( r3, 1 ), V.val[0], r, 1 ); // Dx+P
__prefetch( pInputVector+XM_CACHE_LINE_SIZE );
r = vget_low_f32( row1 );
vResult0 = vmlaq_lane_f32( vResult0, V.val[1], r, 0 ); // Ax+Ey+M
vResult1 = vmlaq_lane_f32( vResult1, V.val[1], r, 1 ); // Bx+Fy+N
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*2) );
r = vget_high_f32( row1 );
vResult2 = vmlaq_lane_f32( vResult2, V.val[1], r, 0 ); // Cx+Gy+O
W = vmlaq_lane_f32( W, V.val[1], r, 1 ); // Dx+Hy+P
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*3) );
r = vget_low_f32( row2 );
vResult0 = vmlaq_lane_f32( vResult0, V.val[2], r, 0 ); // Ax+Ey+Iz+M
vResult1 = vmlaq_lane_f32( vResult1, V.val[2], r, 1 ); // Bx+Fy+Jz+N
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*4) );
r = vget_high_f32( row2 );
vResult2 = vmlaq_lane_f32( vResult2, V.val[2], r, 0 ); // Cx+Gy+Kz+O
W = vmlaq_lane_f32( W, V.val[2], r, 1 ); // Dx+Hy+Lz+P
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*5) );
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
V.val[0] = vdivq_f32( vResult0, W );
V.val[1] = vdivq_f32( vResult1, W );
V.val[2] = vdivq_f32( vResult2, W );
#else
// 2 iterations of Newton-Raphson refinement of reciprocal
float32x4_t Reciprocal = vrecpeq_f32(W);
float32x4_t S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
V.val[0] = vmulq_f32( vResult0, Reciprocal );
V.val[1] = vmulq_f32( vResult1, Reciprocal );
V.val[2] = vmulq_f32( vResult2, Reciprocal );
#endif
vst3q_f32( reinterpret_cast<float*>(pOutputVector),V );
pOutputVector += sizeof(XMFLOAT3)*4;
i += 4;
}
}
}
for (; i < VectorCount; i++)
{
float32x2_t VL = vld1_f32( reinterpret_cast<const float*>(pInputVector) );
float32x2_t zero = vdup_n_f32(0);
float32x2_t VH = vld1_lane_f32( reinterpret_cast<const float*>(pInputVector)+2, zero, 0 );
pInputVector += InputStride;
XMVECTOR vResult = vmlaq_lane_f32( row3, row0, VL, 0 ); // X
vResult = vmlaq_lane_f32( vResult, row1, VL, 1 ); // Y
vResult = vmlaq_lane_f32( vResult, row2, VH, 0 ); // Z
VH = vget_high_f32(vResult);
XMVECTOR W = vdupq_lane_f32( VH, 1 );
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
vResult = vdivq_f32( vResult, W );
#else
// 2 iterations of Newton-Raphson refinement of reciprocal for W
float32x4_t Reciprocal = vrecpeq_f32( W );
float32x4_t S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
vResult = vmulq_f32( vResult, Reciprocal );
#endif
VL = vget_low_f32( vResult );
vst1_f32( reinterpret_cast<float*>(pOutputVector), VL );
vst1q_lane_f32( reinterpret_cast<float*>(pOutputVector)+2, vResult, 2 );
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_SSE_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row2 = M.r[2];
const XMVECTOR row3 = M.r[3];
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if (InputStride == sizeof(XMFLOAT3))
{
if (OutputStride == sizeof(XMFLOAT3))
{
if ( !((uintptr_t)pOutputStream & 0xF) )
{
// Packed input, aligned & packed output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, row2 );
XMVECTOR vTemp2 = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V1 = _mm_div_ps( vTemp, W );
// Result 2
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V2 = _mm_div_ps( vTemp, W );
// Result 3
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V3 = _mm_div_ps( vTemp, W );
// Result 4
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V4 = _mm_div_ps( vTemp, W );
// Pack and store the vectors
XM3PACK4INTO3(vTemp);
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), V1 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector+16), vTemp );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector+32), V3 );
pOutputVector += sizeof(XMFLOAT3)*4;
i += 4;
}
}
else
{
// Packed input, unaligned & packed output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, row2 );
XMVECTOR vTemp2 = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V1 = _mm_div_ps( vTemp, W );
// Result 2
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V2 = _mm_div_ps( vTemp, W );
// Result 3
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V3 = _mm_div_ps( vTemp, W );
// Result 4
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V4 = _mm_div_ps( vTemp, W );
// Pack and store the vectors
XM3PACK4INTO3(vTemp);
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), V1 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector+16), vTemp );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector+32), V3 );
pOutputVector += sizeof(XMFLOAT3)*4;
i += 4;
}
}
}
else
{
// Packed input, unpacked output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, row2 );
XMVECTOR vTemp2 = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
// Result 2
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
// Result 3
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
// Result 4
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
i += 4;
}
}
}
}
for (; i < VectorCount; i++)
{
XMVECTOR V = XMLoadFloat3(reinterpret_cast<const XMFLOAT3*>(pInputVector));
pInputVector += InputStride;
XMVECTOR Z = XM_PERMUTE_PS( V, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, row2 );
XMVECTOR vTemp2 = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, row3 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
}
XM_SFENCE();
return pOutputStream;
#endif
}
#ifdef _PREFAST_
#pragma prefast(pop)
#endif
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3TransformNormal
(
FXMVECTOR V,
FXMMATRIX M
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Z = XMVectorSplatZ(V);
XMVECTOR Y = XMVectorSplatY(V);
XMVECTOR X = XMVectorSplatX(V);
XMVECTOR Result = XMVectorMultiply(Z, M.r[2]);
Result = XMVectorMultiplyAdd(Y, M.r[1], Result);
Result = XMVectorMultiplyAdd(X, M.r[0], Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t VL = vget_low_f32( V );
XMVECTOR vResult = vmulq_lane_f32( M.r[0], VL, 0 ); // X
vResult = vmlaq_lane_f32( vResult, M.r[1], VL, 1 ); // Y
return vmlaq_lane_f32( vResult, M.r[2], vget_high_f32( V ), 0 ); // Z
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,0,0,0));
vResult = _mm_mul_ps(vResult,M.r[0]);
XMVECTOR vTemp = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
vTemp = _mm_mul_ps(vTemp,M.r[1]);
vResult = _mm_add_ps(vResult,vTemp);
vTemp = XM_PERMUTE_PS(V,_MM_SHUFFLE(2,2,2,2));
vTemp = _mm_mul_ps(vTemp,M.r[2]);
vResult = _mm_add_ps(vResult,vTemp);
return vResult;
#endif
}
//------------------------------------------------------------------------------
#ifdef _PREFAST_
#pragma prefast(push)
#pragma prefast(disable : 26015 26019, "PREfast noise: Esp:1307" )
#endif
_Use_decl_annotations_
inline XMFLOAT3* XM_CALLCONV XMVector3TransformNormalStream
(
XMFLOAT3* pOutputStream,
size_t OutputStride,
const XMFLOAT3* pInputStream,
size_t InputStride,
size_t VectorCount,
FXMMATRIX M
)
{
assert(pOutputStream != nullptr);
assert(pInputStream != nullptr);
assert(InputStride >= sizeof(XMFLOAT3));
_Analysis_assume_(InputStride >= sizeof(XMFLOAT3));
assert(OutputStride >= sizeof(XMFLOAT3));
_Analysis_assume_(OutputStride >= sizeof(XMFLOAT3));
#if defined(_XM_NO_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row2 = M.r[2];
for (size_t i = 0; i < VectorCount; i++)
{
XMVECTOR V = XMLoadFloat3((const XMFLOAT3*)pInputVector);
XMVECTOR Z = XMVectorSplatZ(V);
XMVECTOR Y = XMVectorSplatY(V);
XMVECTOR X = XMVectorSplatX(V);
XMVECTOR Result = XMVectorMultiply(Z, row2);
Result = XMVectorMultiplyAdd(Y, row1, Result);
Result = XMVectorMultiplyAdd(X, row0, Result);
XMStoreFloat3((XMFLOAT3*)pOutputVector, Result);
pInputVector += InputStride;
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row2 = M.r[2];
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if ((InputStride == sizeof(XMFLOAT3)) && (OutputStride == sizeof(XMFLOAT3)))
{
for (size_t j = 0; j < four; ++j)
{
float32x4x3_t V = vld3q_f32( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT3)*4;
float32x2_t r = vget_low_f32( row0 );
XMVECTOR vResult0 = vmulq_lane_f32( V.val[0], r, 0 ); // Ax
XMVECTOR vResult1 = vmulq_lane_f32( V.val[0], r, 1 ); // Bx
__prefetch( pInputVector );
r = vget_high_f32( row0 );
XMVECTOR vResult2 = vmulq_lane_f32( V.val[0], r, 0 ); // Cx
__prefetch( pInputVector+XM_CACHE_LINE_SIZE );
r = vget_low_f32( row1 );
vResult0 = vmlaq_lane_f32( vResult0, V.val[1], r, 0 ); // Ax+Ey
vResult1 = vmlaq_lane_f32( vResult1, V.val[1], r, 1 ); // Bx+Fy
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*2) );
r = vget_high_f32( row1 );
vResult2 = vmlaq_lane_f32( vResult2, V.val[1], r, 0 ); // Cx+Gy
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*3) );
r = vget_low_f32( row2 );
vResult0 = vmlaq_lane_f32( vResult0, V.val[2], r, 0 ); // Ax+Ey+Iz
vResult1 = vmlaq_lane_f32( vResult1, V.val[2], r, 1 ); // Bx+Fy+Jz
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*4) );
r = vget_high_f32( row2 );
vResult2 = vmlaq_lane_f32( vResult2, V.val[2], r, 0 ); // Cx+Gy+Kz
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*5) );
V.val[0] = vResult0;
V.val[1] = vResult1;
V.val[2] = vResult2;
vst3q_f32( reinterpret_cast<float*>(pOutputVector), V );
pOutputVector += sizeof(XMFLOAT3)*4;
i += 4;
}
}
}
for (; i < VectorCount; i++)
{
float32x2_t VL = vld1_f32( reinterpret_cast<const float*>(pInputVector) );
float32x2_t zero = vdup_n_f32(0);
float32x2_t VH = vld1_lane_f32( reinterpret_cast<const float*>(pInputVector)+2, zero, 0 );
pInputVector += InputStride;
XMVECTOR vResult = vmulq_lane_f32( row0, VL, 0 ); // X
vResult = vmlaq_lane_f32( vResult, row1, VL, 1 ); // Y
vResult = vmlaq_lane_f32( vResult, row2, VH, 0 ); // Z
VL = vget_low_f32( vResult );
vst1_f32( reinterpret_cast<float*>(pOutputVector), VL );
vst1q_lane_f32( reinterpret_cast<float*>(pOutputVector)+2, vResult, 2 );
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_SSE_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row2 = M.r[2];
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if (InputStride == sizeof(XMFLOAT3))
{
if (OutputStride == sizeof(XMFLOAT3))
{
if ( !((uintptr_t)pOutputStream & 0xF) )
{
// Packed input, aligned & packed output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, row2 );
XMVECTOR vTemp2 = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
V1 = _mm_add_ps( vTemp, vTemp3 );
// Result 2
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
V2 = _mm_add_ps( vTemp, vTemp3 );
// Result 3
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
V3 = _mm_add_ps( vTemp, vTemp3 );
// Result 4
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
V4 = _mm_add_ps( vTemp, vTemp3 );
// Pack and store the vectors
XM3PACK4INTO3(vTemp);
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), V1 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector+16), vTemp );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector+32), V3 );
pOutputVector += sizeof(XMFLOAT3)*4;
i += 4;
}
}
else
{
// Packed input, unaligned & packed output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, row2 );
XMVECTOR vTemp2 = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
V1 = _mm_add_ps( vTemp, vTemp3 );
// Result 2
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
V2 = _mm_add_ps( vTemp, vTemp3 );
// Result 3
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
V3 = _mm_add_ps( vTemp, vTemp3 );
// Result 4
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
V4 = _mm_add_ps( vTemp, vTemp3 );
// Pack and store the vectors
XM3PACK4INTO3(vTemp);
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), V1 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector+16), vTemp );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector+32), V3 );
pOutputVector += sizeof(XMFLOAT3)*4;
i += 4;
}
}
}
else
{
// Packed input, unpacked output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, row2 );
XMVECTOR vTemp2 = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
// Result 2
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
// Result 3
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
// Result 4
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, row2 );
vTemp2 = _mm_mul_ps( Y, row1 );
vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
i += 4;
}
}
}
}
for (; i < VectorCount; i++)
{
XMVECTOR V = XMLoadFloat3(reinterpret_cast<const XMFLOAT3*>(pInputVector));
pInputVector += InputStride;
XMVECTOR Z = XM_PERMUTE_PS( V, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, row2 );
XMVECTOR vTemp2 = _mm_mul_ps( Y, row1 );
XMVECTOR vTemp3 = _mm_mul_ps( X, row0 );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
}
XM_SFENCE();
return pOutputStream;
#endif
}
#ifdef _PREFAST_
#pragma prefast(pop)
#endif
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3Project
(
FXMVECTOR V,
float ViewportX,
float ViewportY,
float ViewportWidth,
float ViewportHeight,
float ViewportMinZ,
float ViewportMaxZ,
FXMMATRIX Projection,
CXMMATRIX View,
CXMMATRIX World
)
{
const float HalfViewportWidth = ViewportWidth * 0.5f;
const float HalfViewportHeight = ViewportHeight * 0.5f;
XMVECTOR Scale = XMVectorSet(HalfViewportWidth, -HalfViewportHeight, ViewportMaxZ - ViewportMinZ, 0.0f);
XMVECTOR Offset = XMVectorSet(ViewportX + HalfViewportWidth, ViewportY + HalfViewportHeight, ViewportMinZ, 0.0f);
XMMATRIX Transform = XMMatrixMultiply(World, View);
Transform = XMMatrixMultiply(Transform, Projection);
XMVECTOR Result = XMVector3TransformCoord(V, Transform);
Result = XMVectorMultiplyAdd(Result, Scale, Offset);
return Result;
}
//------------------------------------------------------------------------------
#ifdef _PREFAST_
#pragma prefast(push)
#pragma prefast(disable : 26015 26019, "PREfast noise: Esp:1307" )
#endif
_Use_decl_annotations_
inline XMFLOAT3* XM_CALLCONV XMVector3ProjectStream
(
XMFLOAT3* pOutputStream,
size_t OutputStride,
const XMFLOAT3* pInputStream,
size_t InputStride,
size_t VectorCount,
float ViewportX,
float ViewportY,
float ViewportWidth,
float ViewportHeight,
float ViewportMinZ,
float ViewportMaxZ,
FXMMATRIX Projection,
CXMMATRIX View,
CXMMATRIX World
)
{
assert(pOutputStream != nullptr);
assert(pInputStream != nullptr);
assert(InputStride >= sizeof(XMFLOAT3));
_Analysis_assume_(InputStride >= sizeof(XMFLOAT3));
assert(OutputStride >= sizeof(XMFLOAT3));
_Analysis_assume_(OutputStride >= sizeof(XMFLOAT3));
#if defined(_XM_NO_INTRINSICS_)
const float HalfViewportWidth = ViewportWidth * 0.5f;
const float HalfViewportHeight = ViewportHeight * 0.5f;
XMVECTOR Scale = XMVectorSet(HalfViewportWidth, -HalfViewportHeight, ViewportMaxZ - ViewportMinZ, 1.0f);
XMVECTOR Offset = XMVectorSet(ViewportX + HalfViewportWidth, ViewportY + HalfViewportHeight, ViewportMinZ, 0.0f);
XMMATRIX Transform = XMMatrixMultiply(World, View);
Transform = XMMatrixMultiply(Transform, Projection);
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
for (size_t i = 0; i < VectorCount; i++)
{
XMVECTOR V = XMLoadFloat3((const XMFLOAT3*)pInputVector);
XMVECTOR Result = XMVector3TransformCoord(V, Transform);
Result = XMVectorMultiplyAdd(Result, Scale, Offset);
XMStoreFloat3((XMFLOAT3*)pOutputVector, Result);
pInputVector += InputStride;
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
const float HalfViewportWidth = ViewportWidth * 0.5f;
const float HalfViewportHeight = ViewportHeight * 0.5f;
XMMATRIX Transform = XMMatrixMultiply(World, View);
Transform = XMMatrixMultiply(Transform, Projection);
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if ((InputStride == sizeof(XMFLOAT3)) && (OutputStride == sizeof(XMFLOAT3)))
{
XMVECTOR ScaleX = vdupq_n_f32(HalfViewportWidth);
XMVECTOR ScaleY = vdupq_n_f32(-HalfViewportHeight);
XMVECTOR ScaleZ = vdupq_n_f32(ViewportMaxZ - ViewportMinZ);
XMVECTOR OffsetX = vdupq_n_f32(ViewportX + HalfViewportWidth);
XMVECTOR OffsetY = vdupq_n_f32(ViewportY + HalfViewportHeight);
XMVECTOR OffsetZ = vdupq_n_f32(ViewportMinZ);
for (size_t j = 0; j < four; ++j)
{
float32x4x3_t V = vld3q_f32( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT3)*4;
float32x2_t r3 = vget_low_f32( Transform.r[3] );
float32x2_t r = vget_low_f32( Transform.r[0] );
XMVECTOR vResult0 = vmlaq_lane_f32( vdupq_lane_f32( r3, 0 ), V.val[0], r, 0 ); // Ax+M
XMVECTOR vResult1 = vmlaq_lane_f32( vdupq_lane_f32( r3, 1 ), V.val[0], r, 1 ); // Bx+N
__prefetch( pInputVector );
r3 = vget_high_f32( Transform.r[3] );
r = vget_high_f32( Transform.r[0] );
XMVECTOR vResult2 = vmlaq_lane_f32( vdupq_lane_f32( r3, 0 ), V.val[0], r, 0 ); // Cx+O
XMVECTOR W = vmlaq_lane_f32( vdupq_lane_f32( r3, 1 ), V.val[0], r, 1 ); // Dx+P
__prefetch( pInputVector+XM_CACHE_LINE_SIZE );
r = vget_low_f32( Transform.r[1] );
vResult0 = vmlaq_lane_f32( vResult0, V.val[1], r, 0 ); // Ax+Ey+M
vResult1 = vmlaq_lane_f32( vResult1, V.val[1], r, 1 ); // Bx+Fy+N
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*2) );
r = vget_high_f32( Transform.r[1] );
vResult2 = vmlaq_lane_f32( vResult2, V.val[1], r, 0 ); // Cx+Gy+O
W = vmlaq_lane_f32( W, V.val[1], r, 1 ); // Dx+Hy+P
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*3) );
r = vget_low_f32( Transform.r[2] );
vResult0 = vmlaq_lane_f32( vResult0, V.val[2], r, 0 ); // Ax+Ey+Iz+M
vResult1 = vmlaq_lane_f32( vResult1, V.val[2], r, 1 ); // Bx+Fy+Jz+N
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*4) );
r = vget_high_f32( Transform.r[2] );
vResult2 = vmlaq_lane_f32( vResult2, V.val[2], r, 0 ); // Cx+Gy+Kz+O
W = vmlaq_lane_f32( W, V.val[2], r, 1 ); // Dx+Hy+Lz+P
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*5) );
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
vResult0 = vdivq_f32( vResult0, W );
vResult1 = vdivq_f32( vResult1, W );
vResult2 = vdivq_f32( vResult2, W );
#else
// 2 iterations of Newton-Raphson refinement of reciprocal
float32x4_t Reciprocal = vrecpeq_f32(W);
float32x4_t S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
vResult0 = vmulq_f32( vResult0, Reciprocal );
vResult1 = vmulq_f32( vResult1, Reciprocal );
vResult2 = vmulq_f32( vResult2, Reciprocal );
#endif
V.val[0] = vmlaq_f32( OffsetX, vResult0, ScaleX );
V.val[1] = vmlaq_f32( OffsetY, vResult1, ScaleY );
V.val[2] = vmlaq_f32( OffsetZ, vResult2, ScaleZ );
vst3q_f32( reinterpret_cast<float*>(pOutputVector),V );
pOutputVector += sizeof(XMFLOAT3)*4;
i += 4;
}
}
}
if ( i < VectorCount)
{
XMVECTOR Scale = XMVectorSet(HalfViewportWidth, -HalfViewportHeight, ViewportMaxZ - ViewportMinZ, 1.0f);
XMVECTOR Offset = XMVectorSet(ViewportX + HalfViewportWidth, ViewportY + HalfViewportHeight, ViewportMinZ, 0.0f);
for (; i < VectorCount; i++)
{
float32x2_t VL = vld1_f32( reinterpret_cast<const float*>(pInputVector) );
float32x2_t zero = vdup_n_f32(0);
float32x2_t VH = vld1_lane_f32( reinterpret_cast<const float*>(pInputVector)+2, zero, 0 );
pInputVector += InputStride;
XMVECTOR vResult = vmlaq_lane_f32( Transform.r[3], Transform.r[0], VL, 0 ); // X
vResult = vmlaq_lane_f32( vResult, Transform.r[1], VL, 1 ); // Y
vResult = vmlaq_lane_f32( vResult, Transform.r[2], VH, 0 ); // Z
VH = vget_high_f32(vResult);
XMVECTOR W = vdupq_lane_f32( VH, 1 );
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
vResult = vdivq_f32( vResult, W );
#else
// 2 iterations of Newton-Raphson refinement of reciprocal for W
float32x4_t Reciprocal = vrecpeq_f32( W );
float32x4_t S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
vResult = vmulq_f32( vResult, Reciprocal );
#endif
vResult = vmlaq_f32( Offset, vResult, Scale );
VL = vget_low_f32( vResult );
vst1_f32( reinterpret_cast<float*>(pOutputVector), VL );
vst1q_lane_f32( reinterpret_cast<float*>(pOutputVector)+2, vResult, 2 );
pOutputVector += OutputStride;
}
}
return pOutputStream;
#elif defined(_XM_SSE_INTRINSICS_)
const float HalfViewportWidth = ViewportWidth * 0.5f;
const float HalfViewportHeight = ViewportHeight * 0.5f;
XMVECTOR Scale = XMVectorSet(HalfViewportWidth, -HalfViewportHeight, ViewportMaxZ - ViewportMinZ, 1.0f);
XMVECTOR Offset = XMVectorSet(ViewportX + HalfViewportWidth, ViewportY + HalfViewportHeight, ViewportMinZ, 0.0f);
XMMATRIX Transform = XMMatrixMultiply(World, View);
Transform = XMMatrixMultiply(Transform, Projection);
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if (InputStride == sizeof(XMFLOAT3))
{
if (OutputStride == sizeof(XMFLOAT3))
{
if ( !((uintptr_t)pOutputStream & 0xF) )
{
// Packed input, aligned & packed output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, Transform.r[2] );
XMVECTOR vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
XMVECTOR vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp = _mm_mul_ps( vTemp, Scale );
V1 = _mm_add_ps( vTemp, Offset );
// Result 2
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp = _mm_mul_ps( vTemp, Scale );
V2 = _mm_add_ps( vTemp, Offset );
// Result 3
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp = _mm_mul_ps( vTemp, Scale );
V3 = _mm_add_ps( vTemp, Offset );
// Result 4
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp = _mm_mul_ps( vTemp, Scale );
V4 = _mm_add_ps( vTemp, Offset );
// Pack and store the vectors
XM3PACK4INTO3(vTemp);
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), V1 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector+16), vTemp );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector+32), V3 );
pOutputVector += sizeof(XMFLOAT3)*4;
i += 4;
}
}
else
{
// Packed input, unaligned & packed output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, Transform.r[2] );
XMVECTOR vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
XMVECTOR vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp = _mm_mul_ps( vTemp, Scale );
V1 = _mm_add_ps( vTemp, Offset );
// Result 2
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp = _mm_mul_ps( vTemp, Scale );
V2 = _mm_add_ps( vTemp, Offset );
// Result 3
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp = _mm_mul_ps( vTemp, Scale );
V3 = _mm_add_ps( vTemp, Offset );
// Result 4
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp = _mm_mul_ps( vTemp, Scale );
V4 = _mm_add_ps( vTemp, Offset );
// Pack and store the vectors
XM3PACK4INTO3(vTemp);
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), V1 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector+16), vTemp );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector+32), V3 );
pOutputVector += sizeof(XMFLOAT3)*4;
i += 4;
}
}
}
else
{
// Packed input, unpacked output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, Transform.r[2] );
XMVECTOR vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
XMVECTOR vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp = _mm_mul_ps( vTemp, Scale );
vTemp = _mm_add_ps( vTemp, Offset );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
// Result 2
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp = _mm_mul_ps( vTemp, Scale );
vTemp = _mm_add_ps( vTemp, Offset );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
// Result 3
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp = _mm_mul_ps( vTemp, Scale );
vTemp = _mm_add_ps( vTemp, Offset );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
// Result 4
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp = _mm_mul_ps( vTemp, Scale );
vTemp = _mm_add_ps( vTemp, Offset );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
i += 4;
}
}
}
}
for (; i < VectorCount; i++)
{
XMVECTOR V = XMLoadFloat3(reinterpret_cast<const XMFLOAT3*>(pInputVector));
pInputVector += InputStride;
XMVECTOR Z = XM_PERMUTE_PS( V, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, Transform.r[2] );
XMVECTOR vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
XMVECTOR vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
vTemp = _mm_mul_ps( vTemp, Scale );
vTemp = _mm_add_ps( vTemp, Offset );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
}
XM_SFENCE();
return pOutputStream;
#endif
}
#ifdef _PREFAST_
#pragma prefast(pop)
#endif
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector3Unproject
(
FXMVECTOR V,
float ViewportX,
float ViewportY,
float ViewportWidth,
float ViewportHeight,
float ViewportMinZ,
float ViewportMaxZ,
FXMMATRIX Projection,
CXMMATRIX View,
CXMMATRIX World
)
{
static const XMVECTORF32 D = { { { -1.0f, 1.0f, 0.0f, 0.0f } } };
XMVECTOR Scale = XMVectorSet(ViewportWidth * 0.5f, -ViewportHeight * 0.5f, ViewportMaxZ - ViewportMinZ, 1.0f);
Scale = XMVectorReciprocal(Scale);
XMVECTOR Offset = XMVectorSet(-ViewportX, -ViewportY, -ViewportMinZ, 0.0f);
Offset = XMVectorMultiplyAdd(Scale, Offset, D.v);
XMMATRIX Transform = XMMatrixMultiply(World, View);
Transform = XMMatrixMultiply(Transform, Projection);
Transform = XMMatrixInverse(nullptr, Transform);
XMVECTOR Result = XMVectorMultiplyAdd(V, Scale, Offset);
return XMVector3TransformCoord(Result, Transform);
}
//------------------------------------------------------------------------------
#ifdef _PREFAST_
#pragma prefast(push)
#pragma prefast(disable : 26015 26019, "PREfast noise: Esp:1307" )
#endif
_Use_decl_annotations_
inline XMFLOAT3* XM_CALLCONV XMVector3UnprojectStream
(
XMFLOAT3* pOutputStream,
size_t OutputStride,
const XMFLOAT3* pInputStream,
size_t InputStride,
size_t VectorCount,
float ViewportX,
float ViewportY,
float ViewportWidth,
float ViewportHeight,
float ViewportMinZ,
float ViewportMaxZ,
FXMMATRIX Projection,
CXMMATRIX View,
CXMMATRIX World)
{
assert(pOutputStream != nullptr);
assert(pInputStream != nullptr);
assert(InputStride >= sizeof(XMFLOAT3));
_Analysis_assume_(InputStride >= sizeof(XMFLOAT3));
assert(OutputStride >= sizeof(XMFLOAT3));
_Analysis_assume_(OutputStride >= sizeof(XMFLOAT3));
#if defined(_XM_NO_INTRINSICS_)
static const XMVECTORF32 D = { { { -1.0f, 1.0f, 0.0f, 0.0f } } };
XMVECTOR Scale = XMVectorSet(ViewportWidth * 0.5f, -ViewportHeight * 0.5f, ViewportMaxZ - ViewportMinZ, 1.0f);
Scale = XMVectorReciprocal(Scale);
XMVECTOR Offset = XMVectorSet(-ViewportX, -ViewportY, -ViewportMinZ, 0.0f);
Offset = XMVectorMultiplyAdd(Scale, Offset, D.v);
XMMATRIX Transform = XMMatrixMultiply(World, View);
Transform = XMMatrixMultiply(Transform, Projection);
Transform = XMMatrixInverse(nullptr, Transform);
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
for (size_t i = 0; i < VectorCount; i++)
{
XMVECTOR V = XMLoadFloat3((const XMFLOAT3*)pInputVector);
XMVECTOR Result = XMVectorMultiplyAdd(V, Scale, Offset);
Result = XMVector3TransformCoord(Result, Transform);
XMStoreFloat3((XMFLOAT3*)pOutputVector, Result);
pInputVector += InputStride;
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
XMMATRIX Transform = XMMatrixMultiply(World, View);
Transform = XMMatrixMultiply(Transform, Projection);
Transform = XMMatrixInverse(nullptr, Transform);
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
float sx = 1.f / (ViewportWidth * 0.5f);
float sy = 1.f / (-ViewportHeight * 0.5f);
float sz = 1.f / (ViewportMaxZ - ViewportMinZ);
float ox = (-ViewportX * sx) - 1.f;
float oy = (-ViewportY * sy) + 1.f;
float oz = (-ViewportMinZ * sz);
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if ((InputStride == sizeof(XMFLOAT3)) && (OutputStride == sizeof(XMFLOAT3)))
{
for (size_t j = 0; j < four; ++j)
{
float32x4x3_t V = vld3q_f32( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT3)*4;
XMVECTOR ScaleX = vdupq_n_f32(sx);
XMVECTOR OffsetX = vdupq_n_f32(ox);
XMVECTOR VX = vmlaq_f32( OffsetX, ScaleX, V.val[0] );
float32x2_t r3 = vget_low_f32( Transform.r[3] );
float32x2_t r = vget_low_f32( Transform.r[0] );
XMVECTOR vResult0 = vmlaq_lane_f32( vdupq_lane_f32( r3, 0 ), VX, r, 0 ); // Ax+M
XMVECTOR vResult1 = vmlaq_lane_f32( vdupq_lane_f32( r3, 1 ), VX, r, 1 ); // Bx+N
__prefetch( pInputVector );
r3 = vget_high_f32( Transform.r[3] );
r = vget_high_f32( Transform.r[0] );
XMVECTOR vResult2 = vmlaq_lane_f32( vdupq_lane_f32( r3, 0 ), VX, r, 0 ); // Cx+O
XMVECTOR W = vmlaq_lane_f32( vdupq_lane_f32( r3, 1 ), VX, r, 1 ); // Dx+P
__prefetch( pInputVector+XM_CACHE_LINE_SIZE );
XMVECTOR ScaleY = vdupq_n_f32(sy);
XMVECTOR OffsetY = vdupq_n_f32(oy);
XMVECTOR VY = vmlaq_f32( OffsetY, ScaleY, V.val[1] );
r = vget_low_f32( Transform.r[1] );
vResult0 = vmlaq_lane_f32( vResult0, VY, r, 0 ); // Ax+Ey+M
vResult1 = vmlaq_lane_f32( vResult1, VY, r, 1 ); // Bx+Fy+N
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*2) );
r = vget_high_f32( Transform.r[1] );
vResult2 = vmlaq_lane_f32( vResult2, VY, r, 0 ); // Cx+Gy+O
W = vmlaq_lane_f32( W, VY, r, 1 ); // Dx+Hy+P
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*3) );
XMVECTOR ScaleZ = vdupq_n_f32(sz);
XMVECTOR OffsetZ = vdupq_n_f32(oz);
XMVECTOR VZ = vmlaq_f32( OffsetZ, ScaleZ, V.val[2] );
r = vget_low_f32( Transform.r[2] );
vResult0 = vmlaq_lane_f32( vResult0, VZ, r, 0 ); // Ax+Ey+Iz+M
vResult1 = vmlaq_lane_f32( vResult1, VZ, r, 1 ); // Bx+Fy+Jz+N
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*4) );
r = vget_high_f32( Transform.r[2] );
vResult2 = vmlaq_lane_f32( vResult2, VZ, r, 0 ); // Cx+Gy+Kz+O
W = vmlaq_lane_f32( W, VZ, r, 1 ); // Dx+Hy+Lz+P
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*5) );
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
V.val[0] = vdivq_f32( vResult0, W );
V.val[1] = vdivq_f32( vResult1, W );
V.val[2] = vdivq_f32( vResult2, W );
#else
// 2 iterations of Newton-Raphson refinement of reciprocal
float32x4_t Reciprocal = vrecpeq_f32(W);
float32x4_t S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
V.val[0] = vmulq_f32( vResult0, Reciprocal );
V.val[1] = vmulq_f32( vResult1, Reciprocal );
V.val[2] = vmulq_f32( vResult2, Reciprocal );
#endif
vst3q_f32( reinterpret_cast<float*>(pOutputVector),V );
pOutputVector += sizeof(XMFLOAT3)*4;
i += 4;
}
}
}
if (i < VectorCount)
{
float32x2_t ScaleL = vcreate_f32(((uint64_t)*(const uint32_t *)&sx) | ((uint64_t)(*(const uint32_t *)&sy) << 32));
float32x2_t ScaleH = vcreate_f32((uint64_t)*(const uint32_t *)&sz);
float32x2_t OffsetL = vcreate_f32(((uint64_t)*(const uint32_t *)&ox) | ((uint64_t)(*(const uint32_t *)&oy) << 32));
float32x2_t OffsetH = vcreate_f32((uint64_t)*(const uint32_t *)&oz);
for (; i < VectorCount; i++)
{
float32x2_t VL = vld1_f32( reinterpret_cast<const float*>(pInputVector) );
float32x2_t zero = vdup_n_f32(0);
float32x2_t VH = vld1_lane_f32( reinterpret_cast<const float*>(pInputVector)+2, zero, 0 );
pInputVector += InputStride;
VL = vmla_f32( OffsetL, VL, ScaleL );
VH = vmla_f32( OffsetH, VH, ScaleH );
XMVECTOR vResult = vmlaq_lane_f32( Transform.r[3], Transform.r[0], VL, 0 ); // X
vResult = vmlaq_lane_f32( vResult, Transform.r[1], VL, 1 ); // Y
vResult = vmlaq_lane_f32( vResult, Transform.r[2], VH, 0 ); // Z
VH = vget_high_f32(vResult);
XMVECTOR W = vdupq_lane_f32( VH, 1 );
#if defined(_M_ARM64) || defined(_M_HYBRID_X86_ARM64)
vResult = vdivq_f32( vResult, W );
#else
// 2 iterations of Newton-Raphson refinement of reciprocal for W
float32x4_t Reciprocal = vrecpeq_f32( W );
float32x4_t S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
S = vrecpsq_f32( Reciprocal, W );
Reciprocal = vmulq_f32( S, Reciprocal );
vResult = vmulq_f32( vResult, Reciprocal );
#endif
VL = vget_low_f32( vResult );
vst1_f32( reinterpret_cast<float*>(pOutputVector), VL );
vst1q_lane_f32( reinterpret_cast<float*>(pOutputVector)+2, vResult, 2 );
pOutputVector += OutputStride;
}
}
return pOutputStream;
#elif defined(_XM_SSE_INTRINSICS_)
static const XMVECTORF32 D = { { { -1.0f, 1.0f, 0.0f, 0.0f } } };
XMVECTOR Scale = XMVectorSet(ViewportWidth * 0.5f, -ViewportHeight * 0.5f, ViewportMaxZ - ViewportMinZ, 1.0f);
Scale = XMVectorReciprocal(Scale);
XMVECTOR Offset = XMVectorSet(-ViewportX, -ViewportY, -ViewportMinZ, 0.0f);
Offset = _mm_mul_ps(Scale, Offset);
Offset = _mm_add_ps(Offset, D);
XMMATRIX Transform = XMMatrixMultiply(World, View);
Transform = XMMatrixMultiply(Transform, Projection);
Transform = XMMatrixInverse(nullptr, Transform);
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if (InputStride == sizeof(XMFLOAT3))
{
if (OutputStride == sizeof(XMFLOAT3))
{
if ( !((uintptr_t)pOutputStream & 0xF) )
{
// Packed input, aligned & packed output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
V1 = _mm_mul_ps( V1, Scale );
V1 = _mm_add_ps( V1, Offset );
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, Transform.r[2] );
XMVECTOR vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
XMVECTOR vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V1 = _mm_div_ps( vTemp, W );
// Result 2
V2 = _mm_mul_ps( V2, Scale );
V2 = _mm_add_ps( V2, Offset );
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V2 = _mm_div_ps( vTemp, W );
// Result 3
V3 = _mm_mul_ps( V3, Scale );
V3 = _mm_add_ps( V3, Offset );
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V3 = _mm_div_ps( vTemp, W );
// Result 4
V4 = _mm_mul_ps( V4, Scale );
V4 = _mm_add_ps( V4, Offset );
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V4 = _mm_div_ps( vTemp, W );
// Pack and store the vectors
XM3PACK4INTO3(vTemp);
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), V1 );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector+16), vTemp );
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector+32), V3 );
pOutputVector += sizeof(XMFLOAT3)*4;
i += 4;
}
}
else
{
// Packed input, unaligned & packed output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
V1 = _mm_mul_ps( V1, Scale );
V1 = _mm_add_ps( V1, Offset );
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, Transform.r[2] );
XMVECTOR vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
XMVECTOR vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V1 = _mm_div_ps( vTemp, W );
// Result 2
V2 = _mm_mul_ps( V2, Scale );
V2 = _mm_add_ps( V2, Offset );
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V2 = _mm_div_ps( vTemp, W );
// Result 3
V3 = _mm_mul_ps( V3, Scale );
V3 = _mm_add_ps( V3, Offset );
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V3 = _mm_div_ps( vTemp, W );
// Result 4
V4 = _mm_mul_ps( V4, Scale );
V4 = _mm_add_ps( V4, Offset );
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
V4 = _mm_div_ps( vTemp, W );
// Pack and store the vectors
XM3PACK4INTO3(vTemp);
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), V1 );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector+16), vTemp );
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector+32), V3 );
pOutputVector += sizeof(XMFLOAT3)*4;
i += 4;
}
}
}
else
{
// Packed input, unpacked output
for (size_t j = 0; j < four; ++j)
{
__m128 V1 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
__m128 L2 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+16) );
__m128 L3 = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector+32) );
pInputVector += sizeof(XMFLOAT3)*4;
// Unpack the 4 vectors (.w components are junk)
XM3UNPACK3INTO4(V1,L2,L3);
// Result 1
V1 = _mm_mul_ps( V1, Scale );
V1 = _mm_add_ps( V1, Offset );
XMVECTOR Z = XM_PERMUTE_PS( V1, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V1, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V1, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, Transform.r[2] );
XMVECTOR vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
XMVECTOR vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
// Result 2
V2 = _mm_mul_ps( V2, Scale );
V2 = _mm_add_ps( V2, Offset );
Z = XM_PERMUTE_PS( V2, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V2, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V2, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
// Result 3
V3 = _mm_mul_ps( V3, Scale );
V3 = _mm_add_ps( V3, Offset );
Z = XM_PERMUTE_PS( V3, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V3, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V3, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
// Result 4
V4 = _mm_mul_ps( V4, Scale );
V4 = _mm_add_ps( V4, Offset );
Z = XM_PERMUTE_PS( V4, _MM_SHUFFLE(2, 2, 2, 2) );
Y = XM_PERMUTE_PS( V4, _MM_SHUFFLE(1, 1, 1, 1) );
X = XM_PERMUTE_PS( V4, _MM_SHUFFLE(0, 0, 0, 0) );
vTemp = _mm_mul_ps( Z, Transform.r[2] );
vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
i += 4;
}
}
}
}
for (; i < VectorCount; i++)
{
XMVECTOR V = XMLoadFloat3(reinterpret_cast<const XMFLOAT3*>(pInputVector));
pInputVector += InputStride;
V = _mm_mul_ps( V, Scale );
V = _mm_add_ps( V, Offset );
XMVECTOR Z = XM_PERMUTE_PS( V, _MM_SHUFFLE(2, 2, 2, 2) );
XMVECTOR Y = XM_PERMUTE_PS( V, _MM_SHUFFLE(1, 1, 1, 1) );
XMVECTOR X = XM_PERMUTE_PS( V, _MM_SHUFFLE(0, 0, 0, 0) );
XMVECTOR vTemp = _mm_mul_ps( Z, Transform.r[2] );
XMVECTOR vTemp2 = _mm_mul_ps( Y, Transform.r[1] );
XMVECTOR vTemp3 = _mm_mul_ps( X, Transform.r[0] );
vTemp = _mm_add_ps( vTemp, Transform.r[3] );
vTemp = _mm_add_ps( vTemp, vTemp2 );
vTemp = _mm_add_ps( vTemp, vTemp3 );
XMVECTOR W = XM_PERMUTE_PS( vTemp, _MM_SHUFFLE(3, 3, 3, 3) );
vTemp = _mm_div_ps( vTemp, W );
XMStoreFloat3(reinterpret_cast<XMFLOAT3*>(pOutputVector), vTemp);
pOutputVector += OutputStride;
}
XM_SFENCE();
return pOutputStream;
#endif
}
#ifdef _PREFAST_
#pragma prefast(pop)
#endif
/****************************************************************************
*
* 4D Vector
*
****************************************************************************/
//------------------------------------------------------------------------------
// Comparison operations
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector4Equal
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] == V2.vector4_f32[0]) && (V1.vector4_f32[1] == V2.vector4_f32[1]) && (V1.vector4_f32[2] == V2.vector4_f32[2]) && (V1.vector4_f32[3] == V2.vector4_f32[3])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( vget_lane_u32(vTemp.val[1], 1) == 0xFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpeq_ps(V1,V2);
return ((_mm_movemask_ps(vTemp)==0x0f) != 0);
#else
return XMComparisonAllTrue(XMVector4EqualR(V1, V2));
#endif
}
//------------------------------------------------------------------------------
inline uint32_t XM_CALLCONV XMVector4EqualR
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
uint32_t CR = 0;
if ((V1.vector4_f32[0] == V2.vector4_f32[0]) &&
(V1.vector4_f32[1] == V2.vector4_f32[1]) &&
(V1.vector4_f32[2] == V2.vector4_f32[2]) &&
(V1.vector4_f32[3] == V2.vector4_f32[3]))
{
CR = XM_CRMASK_CR6TRUE;
}
else if ((V1.vector4_f32[0] != V2.vector4_f32[0]) &&
(V1.vector4_f32[1] != V2.vector4_f32[1]) &&
(V1.vector4_f32[2] != V2.vector4_f32[2]) &&
(V1.vector4_f32[3] != V2.vector4_f32[3]))
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
uint32_t r = vget_lane_u32(vTemp.val[1], 1);
uint32_t CR = 0;
if ( r == 0xFFFFFFFFU )
{
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpeq_ps(V1,V2);
int iTest = _mm_movemask_ps(vTemp);
uint32_t CR = 0;
if (iTest==0xf) // All equal?
{
CR = XM_CRMASK_CR6TRUE;
}
else if (iTest==0) // All not equal?
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector4EqualInt
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_u32[0] == V2.vector4_u32[0]) && (V1.vector4_u32[1] == V2.vector4_u32[1]) && (V1.vector4_u32[2] == V2.vector4_u32[2]) && (V1.vector4_u32[3] == V2.vector4_u32[3])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_u32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( vget_lane_u32(vTemp.val[1], 1) == 0xFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vTemp = _mm_cmpeq_epi32(_mm_castps_si128(V1),_mm_castps_si128(V2));
return ((_mm_movemask_ps(_mm_castsi128_ps(vTemp))==0xf) != 0);
#else
return XMComparisonAllTrue(XMVector4EqualIntR(V1, V2));
#endif
}
//------------------------------------------------------------------------------
inline uint32_t XM_CALLCONV XMVector4EqualIntR
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
uint32_t CR = 0;
if (V1.vector4_u32[0] == V2.vector4_u32[0] &&
V1.vector4_u32[1] == V2.vector4_u32[1] &&
V1.vector4_u32[2] == V2.vector4_u32[2] &&
V1.vector4_u32[3] == V2.vector4_u32[3])
{
CR = XM_CRMASK_CR6TRUE;
}
else if (V1.vector4_u32[0] != V2.vector4_u32[0] &&
V1.vector4_u32[1] != V2.vector4_u32[1] &&
V1.vector4_u32[2] != V2.vector4_u32[2] &&
V1.vector4_u32[3] != V2.vector4_u32[3])
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_u32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
uint32_t r = vget_lane_u32(vTemp.val[1], 1);
uint32_t CR = 0;
if ( r == 0xFFFFFFFFU )
{
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vTemp = _mm_cmpeq_epi32(_mm_castps_si128(V1),_mm_castps_si128(V2));
int iTest = _mm_movemask_ps(_mm_castsi128_ps(vTemp));
uint32_t CR = 0;
if (iTest==0xf) // All equal?
{
CR = XM_CRMASK_CR6TRUE;
}
else if (iTest==0) // All not equal?
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#endif
}
inline bool XM_CALLCONV XMVector4NearEqual
(
FXMVECTOR V1,
FXMVECTOR V2,
FXMVECTOR Epsilon
)
{
#if defined(_XM_NO_INTRINSICS_)
float dx, dy, dz, dw;
dx = fabsf(V1.vector4_f32[0]-V2.vector4_f32[0]);
dy = fabsf(V1.vector4_f32[1]-V2.vector4_f32[1]);
dz = fabsf(V1.vector4_f32[2]-V2.vector4_f32[2]);
dw = fabsf(V1.vector4_f32[3]-V2.vector4_f32[3]);
return (((dx <= Epsilon.vector4_f32[0]) &&
(dy <= Epsilon.vector4_f32[1]) &&
(dz <= Epsilon.vector4_f32[2]) &&
(dw <= Epsilon.vector4_f32[3])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x4_t vDelta = vsubq_f32( V1, V2 );
uint32x4_t vResult = vacleq_f32( vDelta, Epsilon );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( vget_lane_u32(vTemp.val[1], 1) == 0xFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
// Get the difference
XMVECTOR vDelta = _mm_sub_ps(V1,V2);
// Get the absolute value of the difference
XMVECTOR vTemp = _mm_setzero_ps();
vTemp = _mm_sub_ps(vTemp,vDelta);
vTemp = _mm_max_ps(vTemp,vDelta);
vTemp = _mm_cmple_ps(vTemp,Epsilon);
return ((_mm_movemask_ps(vTemp)==0xf) != 0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector4NotEqual
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] != V2.vector4_f32[0]) || (V1.vector4_f32[1] != V2.vector4_f32[1]) || (V1.vector4_f32[2] != V2.vector4_f32[2]) || (V1.vector4_f32[3] != V2.vector4_f32[3])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( vget_lane_u32(vTemp.val[1], 1) != 0xFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpneq_ps(V1,V2);
return ((_mm_movemask_ps(vTemp)) != 0);
#else
return XMComparisonAnyFalse(XMVector4EqualR(V1, V2));
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector4NotEqualInt
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_u32[0] != V2.vector4_u32[0]) || (V1.vector4_u32[1] != V2.vector4_u32[1]) || (V1.vector4_u32[2] != V2.vector4_u32[2]) || (V1.vector4_u32[3] != V2.vector4_u32[3])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vceqq_u32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( vget_lane_u32(vTemp.val[1], 1) != 0xFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
__m128i vTemp = _mm_cmpeq_epi32(_mm_castps_si128(V1),_mm_castps_si128(V2));
return ((_mm_movemask_ps(_mm_castsi128_ps(vTemp))!=0xF) != 0);
#else
return XMComparisonAnyFalse(XMVector4EqualIntR(V1, V2));
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector4Greater
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] > V2.vector4_f32[0]) && (V1.vector4_f32[1] > V2.vector4_f32[1]) && (V1.vector4_f32[2] > V2.vector4_f32[2]) && (V1.vector4_f32[3] > V2.vector4_f32[3])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcgtq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( vget_lane_u32(vTemp.val[1], 1) == 0xFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpgt_ps(V1,V2);
return ((_mm_movemask_ps(vTemp)==0x0f) != 0);
#else
return XMComparisonAllTrue(XMVector4GreaterR(V1, V2));
#endif
}
//------------------------------------------------------------------------------
inline uint32_t XM_CALLCONV XMVector4GreaterR
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
uint32_t CR = 0;
if (V1.vector4_f32[0] > V2.vector4_f32[0] &&
V1.vector4_f32[1] > V2.vector4_f32[1] &&
V1.vector4_f32[2] > V2.vector4_f32[2] &&
V1.vector4_f32[3] > V2.vector4_f32[3])
{
CR = XM_CRMASK_CR6TRUE;
}
else if (V1.vector4_f32[0] <= V2.vector4_f32[0] &&
V1.vector4_f32[1] <= V2.vector4_f32[1] &&
V1.vector4_f32[2] <= V2.vector4_f32[2] &&
V1.vector4_f32[3] <= V2.vector4_f32[3])
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcgtq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
uint32_t r = vget_lane_u32(vTemp.val[1], 1);
uint32_t CR = 0;
if ( r == 0xFFFFFFFFU )
{
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_SSE_INTRINSICS_)
uint32_t CR = 0;
XMVECTOR vTemp = _mm_cmpgt_ps(V1,V2);
int iTest = _mm_movemask_ps(vTemp);
if (iTest==0xf) {
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTest)
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector4GreaterOrEqual
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] >= V2.vector4_f32[0]) && (V1.vector4_f32[1] >= V2.vector4_f32[1]) && (V1.vector4_f32[2] >= V2.vector4_f32[2]) && (V1.vector4_f32[3] >= V2.vector4_f32[3])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcgeq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( vget_lane_u32(vTemp.val[1], 1) == 0xFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmpge_ps(V1,V2);
return ((_mm_movemask_ps(vTemp)==0x0f) != 0);
#else
return XMComparisonAllTrue(XMVector4GreaterOrEqualR(V1, V2));
#endif
}
//------------------------------------------------------------------------------
inline uint32_t XM_CALLCONV XMVector4GreaterOrEqualR
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
uint32_t CR = 0;
if ((V1.vector4_f32[0] >= V2.vector4_f32[0]) &&
(V1.vector4_f32[1] >= V2.vector4_f32[1]) &&
(V1.vector4_f32[2] >= V2.vector4_f32[2]) &&
(V1.vector4_f32[3] >= V2.vector4_f32[3]))
{
CR = XM_CRMASK_CR6TRUE;
}
else if ((V1.vector4_f32[0] < V2.vector4_f32[0]) &&
(V1.vector4_f32[1] < V2.vector4_f32[1]) &&
(V1.vector4_f32[2] < V2.vector4_f32[2]) &&
(V1.vector4_f32[3] < V2.vector4_f32[3]))
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcgeq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
uint32_t r = vget_lane_u32(vTemp.val[1], 1);
uint32_t CR = 0;
if ( r == 0xFFFFFFFFU )
{
CR = XM_CRMASK_CR6TRUE;
}
else if ( !r )
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#elif defined(_XM_SSE_INTRINSICS_)
uint32_t CR = 0;
XMVECTOR vTemp = _mm_cmpge_ps(V1,V2);
int iTest = _mm_movemask_ps(vTemp);
if (iTest==0x0f)
{
CR = XM_CRMASK_CR6TRUE;
}
else if (!iTest)
{
CR = XM_CRMASK_CR6FALSE;
}
return CR;
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector4Less
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] < V2.vector4_f32[0]) && (V1.vector4_f32[1] < V2.vector4_f32[1]) && (V1.vector4_f32[2] < V2.vector4_f32[2]) && (V1.vector4_f32[3] < V2.vector4_f32[3])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcltq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( vget_lane_u32(vTemp.val[1], 1) == 0xFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmplt_ps(V1,V2);
return ((_mm_movemask_ps(vTemp)==0x0f) != 0);
#else
return XMComparisonAllTrue(XMVector4GreaterR(V2, V1));
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector4LessOrEqual
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V1.vector4_f32[0] <= V2.vector4_f32[0]) && (V1.vector4_f32[1] <= V2.vector4_f32[1]) && (V1.vector4_f32[2] <= V2.vector4_f32[2]) && (V1.vector4_f32[3] <= V2.vector4_f32[3])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
uint32x4_t vResult = vcleq_f32( V1, V2 );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( vget_lane_u32(vTemp.val[1], 1) == 0xFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp = _mm_cmple_ps(V1,V2);
return ((_mm_movemask_ps(vTemp)==0x0f) != 0);
#else
return XMComparisonAllTrue(XMVector4GreaterOrEqualR(V2, V1));
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector4InBounds
(
FXMVECTOR V,
FXMVECTOR Bounds
)
{
#if defined(_XM_NO_INTRINSICS_)
return (((V.vector4_f32[0] <= Bounds.vector4_f32[0] && V.vector4_f32[0] >= -Bounds.vector4_f32[0]) &&
(V.vector4_f32[1] <= Bounds.vector4_f32[1] && V.vector4_f32[1] >= -Bounds.vector4_f32[1]) &&
(V.vector4_f32[2] <= Bounds.vector4_f32[2] && V.vector4_f32[2] >= -Bounds.vector4_f32[2]) &&
(V.vector4_f32[3] <= Bounds.vector4_f32[3] && V.vector4_f32[3] >= -Bounds.vector4_f32[3])) != 0);
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Test if less than or equal
uint32x4_t ivTemp1 = vcleq_f32(V,Bounds);
// Negate the bounds
float32x4_t vTemp2 = vnegq_f32(Bounds);
// Test if greater or equal (Reversed)
uint32x4_t ivTemp2 = vcleq_f32(vTemp2,V);
// Blend answers
ivTemp1 = vandq_u32(ivTemp1,ivTemp2);
// in bounds?
int8x8x2_t vTemp = vzip_u8(vget_low_u8(ivTemp1), vget_high_u8(ivTemp1));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( vget_lane_u32(vTemp.val[1], 1) == 0xFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
// Test if less than or equal
XMVECTOR vTemp1 = _mm_cmple_ps(V,Bounds);
// Negate the bounds
XMVECTOR vTemp2 = _mm_mul_ps(Bounds,g_XMNegativeOne);
// Test if greater or equal (Reversed)
vTemp2 = _mm_cmple_ps(vTemp2,V);
// Blend answers
vTemp1 = _mm_and_ps(vTemp1,vTemp2);
// All in bounds?
return ((_mm_movemask_ps(vTemp1)==0x0f) != 0);
#else
return XMComparisonAllInBounds(XMVector4InBoundsR(V, Bounds));
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector4IsNaN
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
return (XMISNAN(V.vector4_f32[0]) ||
XMISNAN(V.vector4_f32[1]) ||
XMISNAN(V.vector4_f32[2]) ||
XMISNAN(V.vector4_f32[3]));
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Test against itself. NaN is always not equal
uint32x4_t vTempNan = vceqq_f32( V, V );
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vTempNan), vget_high_u8(vTempNan));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
// If any are NaN, the mask is zero
return ( vget_lane_u32(vTemp.val[1], 1) != 0xFFFFFFFFU );
#elif defined(_XM_SSE_INTRINSICS_)
// Test against itself. NaN is always not equal
XMVECTOR vTempNan = _mm_cmpneq_ps(V,V);
// If any are NaN, the mask is non-zero
return (_mm_movemask_ps(vTempNan)!=0);
#endif
}
//------------------------------------------------------------------------------
inline bool XM_CALLCONV XMVector4IsInfinite
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
return (XMISINF(V.vector4_f32[0]) ||
XMISINF(V.vector4_f32[1]) ||
XMISINF(V.vector4_f32[2]) ||
XMISINF(V.vector4_f32[3]));
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Mask off the sign bit
uint32x4_t vTempInf = vandq_u32( V, g_XMAbsMask );
// Compare to infinity
vTempInf = vceqq_f32(vTempInf, g_XMInfinity );
// If any are infinity, the signs are true.
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vTempInf), vget_high_u8(vTempInf));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
return ( vget_lane_u32(vTemp.val[1], 1) != 0 );
#elif defined(_XM_SSE_INTRINSICS_)
// Mask off the sign bit
XMVECTOR vTemp = _mm_and_ps(V,g_XMAbsMask);
// Compare to infinity
vTemp = _mm_cmpeq_ps(vTemp,g_XMInfinity);
// If any are infinity, the signs are true.
return (_mm_movemask_ps(vTemp) != 0);
#endif
}
//------------------------------------------------------------------------------
// Computation operations
//------------------------------------------------------------------------------
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4Dot
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result;
Result.f[0] =
Result.f[1] =
Result.f[2] =
Result.f[3] = V1.vector4_f32[0] * V2.vector4_f32[0] + V1.vector4_f32[1] * V2.vector4_f32[1] + V1.vector4_f32[2] * V2.vector4_f32[2] + V1.vector4_f32[3] * V2.vector4_f32[3];
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x4_t vTemp = vmulq_f32( V1, V2 );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vadd_f32( v1, v2 );
v1 = vpadd_f32( v1, v1 );
return vcombine_f32( v1, v1 );
#elif defined(_XM_SSE4_INTRINSICS_)
return _mm_dp_ps( V1, V2, 0xff );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vTemp = _mm_mul_ps(V1, V2);
vTemp = _mm_hadd_ps(vTemp, vTemp);
return _mm_hadd_ps(vTemp, vTemp);
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR vTemp2 = V2;
XMVECTOR vTemp = _mm_mul_ps(V1,vTemp2);
vTemp2 = _mm_shuffle_ps(vTemp2,vTemp,_MM_SHUFFLE(1,0,0,0)); // Copy X to the Z position and Y to the W position
vTemp2 = _mm_add_ps(vTemp2,vTemp); // Add Z = X+Z; W = Y+W;
vTemp = _mm_shuffle_ps(vTemp,vTemp2,_MM_SHUFFLE(0,3,0,0)); // Copy W to the Z position
vTemp = _mm_add_ps(vTemp,vTemp2); // Add Z and W together
return XM_PERMUTE_PS(vTemp,_MM_SHUFFLE(2,2,2,2)); // Splat Z and return
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4Cross
(
FXMVECTOR V1,
FXMVECTOR V2,
FXMVECTOR V3
)
{
// [ ((v2.z*v3.w-v2.w*v3.z)*v1.y)-((v2.y*v3.w-v2.w*v3.y)*v1.z)+((v2.y*v3.z-v2.z*v3.y)*v1.w),
// ((v2.w*v3.z-v2.z*v3.w)*v1.x)-((v2.w*v3.x-v2.x*v3.w)*v1.z)+((v2.z*v3.x-v2.x*v3.z)*v1.w),
// ((v2.y*v3.w-v2.w*v3.y)*v1.x)-((v2.x*v3.w-v2.w*v3.x)*v1.y)+((v2.x*v3.y-v2.y*v3.x)*v1.w),
// ((v2.z*v3.y-v2.y*v3.z)*v1.x)-((v2.z*v3.x-v2.x*v3.z)*v1.y)+((v2.y*v3.x-v2.x*v3.y)*v1.z) ]
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
(((V2.vector4_f32[2] * V3.vector4_f32[3]) - (V2.vector4_f32[3] * V3.vector4_f32[2]))*V1.vector4_f32[1]) - (((V2.vector4_f32[1] * V3.vector4_f32[3]) - (V2.vector4_f32[3] * V3.vector4_f32[1]))*V1.vector4_f32[2]) + (((V2.vector4_f32[1] * V3.vector4_f32[2]) - (V2.vector4_f32[2] * V3.vector4_f32[1]))*V1.vector4_f32[3]),
(((V2.vector4_f32[3] * V3.vector4_f32[2]) - (V2.vector4_f32[2] * V3.vector4_f32[3]))*V1.vector4_f32[0]) - (((V2.vector4_f32[3] * V3.vector4_f32[0]) - (V2.vector4_f32[0] * V3.vector4_f32[3]))*V1.vector4_f32[2]) + (((V2.vector4_f32[2] * V3.vector4_f32[0]) - (V2.vector4_f32[0] * V3.vector4_f32[2]))*V1.vector4_f32[3]),
(((V2.vector4_f32[1] * V3.vector4_f32[3]) - (V2.vector4_f32[3] * V3.vector4_f32[1]))*V1.vector4_f32[0]) - (((V2.vector4_f32[0] * V3.vector4_f32[3]) - (V2.vector4_f32[3] * V3.vector4_f32[0]))*V1.vector4_f32[1]) + (((V2.vector4_f32[0] * V3.vector4_f32[1]) - (V2.vector4_f32[1] * V3.vector4_f32[0]))*V1.vector4_f32[3]),
(((V2.vector4_f32[2] * V3.vector4_f32[1]) - (V2.vector4_f32[1] * V3.vector4_f32[2]))*V1.vector4_f32[0]) - (((V2.vector4_f32[2] * V3.vector4_f32[0]) - (V2.vector4_f32[0] * V3.vector4_f32[2]))*V1.vector4_f32[1]) + (((V2.vector4_f32[1] * V3.vector4_f32[0]) - (V2.vector4_f32[0] * V3.vector4_f32[1]))*V1.vector4_f32[2]),
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
const float32x2_t select = vget_low_f32( g_XMMaskX );
// Term1: V2zwyz * V3wzwy
const float32x2_t v2xy = vget_low_f32(V2);
const float32x2_t v2zw = vget_high_f32(V2);
const float32x2_t v2yx = vrev64_f32(v2xy);
const float32x2_t v2wz = vrev64_f32(v2zw);
const float32x2_t v2yz = vbsl_f32( select, v2yx, v2wz );
const float32x2_t v3zw = vget_high_f32(V3);
const float32x2_t v3wz = vrev64_f32(v3zw);
const float32x2_t v3xy = vget_low_f32(V3);
const float32x2_t v3wy = vbsl_f32( select, v3wz, v3xy );
float32x4_t vTemp1 = vcombine_f32(v2zw,v2yz);
float32x4_t vTemp2 = vcombine_f32(v3wz,v3wy);
XMVECTOR vResult = vmulq_f32( vTemp1, vTemp2 );
// - V2wzwy * V3zwyz
const float32x2_t v2wy = vbsl_f32( select, v2wz, v2xy );
const float32x2_t v3yx = vrev64_f32(v3xy);
const float32x2_t v3yz = vbsl_f32( select, v3yx, v3wz );
vTemp1 = vcombine_f32(v2wz,v2wy);
vTemp2 = vcombine_f32(v3zw,v3yz);
vResult = vmlsq_f32( vResult, vTemp1, vTemp2 );
// term1 * V1yxxx
const float32x2_t v1xy = vget_low_f32(V1);
const float32x2_t v1yx = vrev64_f32(v1xy);
vTemp1 = vcombine_f32( v1yx, vdup_lane_f32( v1yx, 1 ) );
vResult = vmulq_f32( vResult, vTemp1 );
// Term2: V2ywxz * V3wxwx
const float32x2_t v2yw = vrev64_f32(v2wy);
const float32x2_t v2xz = vbsl_f32( select, v2xy, v2wz );
const float32x2_t v3wx = vbsl_f32( select, v3wz, v3yx );
vTemp1 = vcombine_f32(v2yw,v2xz);
vTemp2 = vcombine_f32(v3wx,v3wx);
float32x4_t vTerm = vmulq_f32( vTemp1, vTemp2 );
// - V2wxwx * V3ywxz
const float32x2_t v2wx = vbsl_f32( select, v2wz, v2yx );
const float32x2_t v3yw = vrev64_f32(v3wy);
const float32x2_t v3xz = vbsl_f32( select, v3xy, v3wz );
vTemp1 = vcombine_f32(v2wx,v2wx);
vTemp2 = vcombine_f32(v3yw,v3xz);
vTerm = vmlsq_f32( vTerm, vTemp1, vTemp2 );
// vResult - term2 * V1zzyy
const float32x2_t v1zw = vget_high_f32(V1);
vTemp1 = vcombine_f32( vdup_lane_f32(v1zw, 0), vdup_lane_f32(v1yx, 0) );
vResult = vmlsq_f32( vResult, vTerm, vTemp1 );
// Term3: V2yzxy * V3zxyx
const float32x2_t v3zx = vrev64_f32(v3xz);
vTemp1 = vcombine_f32(v2yz,v2xy);
vTemp2 = vcombine_f32(v3zx,v3yx);
vTerm = vmulq_f32( vTemp1, vTemp2 );
// - V2zxyx * V3yzxy
const float32x2_t v2zx = vrev64_f32(v2xz);
vTemp1 = vcombine_f32(v2zx,v2yx);
vTemp2 = vcombine_f32(v3yz,v3xy);
vTerm = vmlsq_f32( vTerm, vTemp1, vTemp2 );
// vResult + term3 * V1wwwz
const float32x2_t v1wz = vrev64_f32(v1zw);
vTemp1 = vcombine_f32( vdup_lane_f32( v1wz, 0 ), v1wz );
return vmlaq_f32( vResult, vTerm, vTemp1 );
#elif defined(_XM_SSE_INTRINSICS_)
// V2zwyz * V3wzwy
XMVECTOR vResult = XM_PERMUTE_PS(V2,_MM_SHUFFLE(2,1,3,2));
XMVECTOR vTemp3 = XM_PERMUTE_PS(V3,_MM_SHUFFLE(1,3,2,3));
vResult = _mm_mul_ps(vResult,vTemp3);
// - V2wzwy * V3zwyz
XMVECTOR vTemp2 = XM_PERMUTE_PS(V2,_MM_SHUFFLE(1,3,2,3));
vTemp3 = XM_PERMUTE_PS(vTemp3,_MM_SHUFFLE(1,3,0,1));
vTemp2 = _mm_mul_ps(vTemp2,vTemp3);
vResult = _mm_sub_ps(vResult,vTemp2);
// term1 * V1yxxx
XMVECTOR vTemp1 = XM_PERMUTE_PS(V1,_MM_SHUFFLE(0,0,0,1));
vResult = _mm_mul_ps(vResult,vTemp1);
// V2ywxz * V3wxwx
vTemp2 = XM_PERMUTE_PS(V2,_MM_SHUFFLE(2,0,3,1));
vTemp3 = XM_PERMUTE_PS(V3,_MM_SHUFFLE(0,3,0,3));
vTemp3 = _mm_mul_ps(vTemp3,vTemp2);
// - V2wxwx * V3ywxz
vTemp2 = XM_PERMUTE_PS(vTemp2,_MM_SHUFFLE(2,1,2,1));
vTemp1 = XM_PERMUTE_PS(V3,_MM_SHUFFLE(2,0,3,1));
vTemp2 = _mm_mul_ps(vTemp2,vTemp1);
vTemp3 = _mm_sub_ps(vTemp3,vTemp2);
// vResult - temp * V1zzyy
vTemp1 = XM_PERMUTE_PS(V1,_MM_SHUFFLE(1,1,2,2));
vTemp1 = _mm_mul_ps(vTemp1,vTemp3);
vResult = _mm_sub_ps(vResult,vTemp1);
// V2yzxy * V3zxyx
vTemp2 = XM_PERMUTE_PS(V2,_MM_SHUFFLE(1,0,2,1));
vTemp3 = XM_PERMUTE_PS(V3,_MM_SHUFFLE(0,1,0,2));
vTemp3 = _mm_mul_ps(vTemp3,vTemp2);
// - V2zxyx * V3yzxy
vTemp2 = XM_PERMUTE_PS(vTemp2,_MM_SHUFFLE(2,0,2,1));
vTemp1 = XM_PERMUTE_PS(V3,_MM_SHUFFLE(1,0,2,1));
vTemp1 = _mm_mul_ps(vTemp1,vTemp2);
vTemp3 = _mm_sub_ps(vTemp3,vTemp1);
// vResult + term * V1wwwz
vTemp1 = XM_PERMUTE_PS(V1,_MM_SHUFFLE(2,3,3,3));
vTemp3 = _mm_mul_ps(vTemp3,vTemp1);
vResult = _mm_add_ps(vResult,vTemp3);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4LengthSq
(
FXMVECTOR V
)
{
return XMVector4Dot(V, V);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4ReciprocalLengthEst
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector4LengthSq(V);
Result = XMVectorReciprocalSqrtEst(Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Dot4
float32x4_t vTemp = vmulq_f32( V, V );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vadd_f32( v1, v2 );
v1 = vpadd_f32( v1, v1 );
// Reciprocal sqrt (estimate)
v2 = vrsqrte_f32( v1 );
return vcombine_f32(v2, v2);
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0xff );
return _mm_rsqrt_ps( vTemp );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_rsqrt_ps(vLengthSq);
return vLengthSq;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x,y,z and w
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has z and w
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(3,2,3,2));
// x+z, y+w
vLengthSq = _mm_add_ps(vLengthSq,vTemp);
// x+z,x+z,x+z,y+w
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,0,0,0));
// ??,??,y+w,y+w
vTemp = _mm_shuffle_ps(vTemp,vLengthSq,_MM_SHUFFLE(3,3,0,0));
// ??,??,x+z+y+w,??
vLengthSq = _mm_add_ps(vLengthSq,vTemp);
// Splat the length
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(2,2,2,2));
// Get the reciprocal
vLengthSq = _mm_rsqrt_ps(vLengthSq);
return vLengthSq;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4ReciprocalLength
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector4LengthSq(V);
Result = XMVectorReciprocalSqrt(Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Dot4
float32x4_t vTemp = vmulq_f32( V, V );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vadd_f32( v1, v2 );
v1 = vpadd_f32( v1, v1 );
// Reciprocal sqrt
float32x2_t S0 = vrsqrte_f32(v1);
float32x2_t P0 = vmul_f32( v1, S0 );
float32x2_t R0 = vrsqrts_f32( P0, S0 );
float32x2_t S1 = vmul_f32( S0, R0 );
float32x2_t P1 = vmul_f32( v1, S1 );
float32x2_t R1 = vrsqrts_f32( P1, S1 );
float32x2_t Result = vmul_f32( S1, R1 );
return vcombine_f32( Result, Result );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0xff );
XMVECTOR vLengthSq = _mm_sqrt_ps( vTemp );
return _mm_div_ps( g_XMOne, vLengthSq );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_sqrt_ps(vLengthSq);
vLengthSq = _mm_div_ps(g_XMOne, vLengthSq);
return vLengthSq;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x,y,z and w
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has z and w
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(3,2,3,2));
// x+z, y+w
vLengthSq = _mm_add_ps(vLengthSq,vTemp);
// x+z,x+z,x+z,y+w
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,0,0,0));
// ??,??,y+w,y+w
vTemp = _mm_shuffle_ps(vTemp,vLengthSq,_MM_SHUFFLE(3,3,0,0));
// ??,??,x+z+y+w,??
vLengthSq = _mm_add_ps(vLengthSq,vTemp);
// Splat the length
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(2,2,2,2));
// Get the reciprocal
vLengthSq = _mm_sqrt_ps(vLengthSq);
// Accurate!
vLengthSq = _mm_div_ps(g_XMOne,vLengthSq);
return vLengthSq;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4LengthEst
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector4LengthSq(V);
Result = XMVectorSqrtEst(Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Dot4
float32x4_t vTemp = vmulq_f32( V, V );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vadd_f32( v1, v2 );
v1 = vpadd_f32( v1, v1 );
const float32x2_t zero = vdup_n_f32(0);
uint32x2_t VEqualsZero = vceq_f32( v1, zero );
// Sqrt (estimate)
float32x2_t Result = vrsqrte_f32( v1 );
Result = vmul_f32( v1, Result );
Result = vbsl_f32( VEqualsZero, zero, Result );
return vcombine_f32( Result, Result );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0xff );
return _mm_sqrt_ps( vTemp );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_sqrt_ps(vLengthSq);
return vLengthSq;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x,y,z and w
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has z and w
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(3,2,3,2));
// x+z, y+w
vLengthSq = _mm_add_ps(vLengthSq,vTemp);
// x+z,x+z,x+z,y+w
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,0,0,0));
// ??,??,y+w,y+w
vTemp = _mm_shuffle_ps(vTemp,vLengthSq,_MM_SHUFFLE(3,3,0,0));
// ??,??,x+z+y+w,??
vLengthSq = _mm_add_ps(vLengthSq,vTemp);
// Splat the length
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(2,2,2,2));
// Get the length
vLengthSq = _mm_sqrt_ps(vLengthSq);
return vLengthSq;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4Length
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector4LengthSq(V);
Result = XMVectorSqrt(Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Dot4
float32x4_t vTemp = vmulq_f32( V, V );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vadd_f32( v1, v2 );
v1 = vpadd_f32( v1, v1 );
const float32x2_t zero = vdup_n_f32(0);
uint32x2_t VEqualsZero = vceq_f32( v1, zero );
// Sqrt
float32x2_t S0 = vrsqrte_f32( v1 );
float32x2_t P0 = vmul_f32( v1, S0 );
float32x2_t R0 = vrsqrts_f32( P0, S0 );
float32x2_t S1 = vmul_f32( S0, R0 );
float32x2_t P1 = vmul_f32( v1, S1 );
float32x2_t R1 = vrsqrts_f32( P1, S1 );
float32x2_t Result = vmul_f32( S1, R1 );
Result = vmul_f32( v1, Result );
Result = vbsl_f32( VEqualsZero, zero, Result );
return vcombine_f32( Result, Result );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0xff );
return _mm_sqrt_ps( vTemp );
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_sqrt_ps(vLengthSq);
return vLengthSq;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x,y,z and w
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has z and w
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(3,2,3,2));
// x+z, y+w
vLengthSq = _mm_add_ps(vLengthSq,vTemp);
// x+z,x+z,x+z,y+w
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,0,0,0));
// ??,??,y+w,y+w
vTemp = _mm_shuffle_ps(vTemp,vLengthSq,_MM_SHUFFLE(3,3,0,0));
// ??,??,x+z+y+w,??
vLengthSq = _mm_add_ps(vLengthSq,vTemp);
// Splat the length
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(2,2,2,2));
// Get the length
vLengthSq = _mm_sqrt_ps(vLengthSq);
return vLengthSq;
#endif
}
//------------------------------------------------------------------------------
// XMVector4NormalizeEst uses a reciprocal estimate and
// returns QNaN on zero and infinite vectors.
inline XMVECTOR XM_CALLCONV XMVector4NormalizeEst
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR Result;
Result = XMVector4ReciprocalLength(V);
Result = XMVectorMultiply(V, Result);
return Result;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Dot4
float32x4_t vTemp = vmulq_f32( V, V );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vadd_f32( v1, v2 );
v1 = vpadd_f32( v1, v1 );
// Reciprocal sqrt (estimate)
v2 = vrsqrte_f32( v1 );
// Normalize
return vmulq_f32( V, vcombine_f32(v2,v2) );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vTemp = _mm_dp_ps( V, V, 0xff );
XMVECTOR vResult = _mm_rsqrt_ps( vTemp );
return _mm_mul_ps(vResult, V);
#elif defined(_XM_SSE3_INTRINSICS_)
XMVECTOR vDot = _mm_mul_ps(V, V);
vDot = _mm_hadd_ps(vDot, vDot);
vDot = _mm_hadd_ps(vDot, vDot);
vDot = _mm_rsqrt_ps(vDot);
vDot = _mm_mul_ps(vDot, V);
return vDot;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x,y,z and w
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has z and w
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(3,2,3,2));
// x+z, y+w
vLengthSq = _mm_add_ps(vLengthSq,vTemp);
// x+z,x+z,x+z,y+w
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,0,0,0));
// ??,??,y+w,y+w
vTemp = _mm_shuffle_ps(vTemp,vLengthSq,_MM_SHUFFLE(3,3,0,0));
// ??,??,x+z+y+w,??
vLengthSq = _mm_add_ps(vLengthSq,vTemp);
// Splat the length
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(2,2,2,2));
// Get the reciprocal
XMVECTOR vResult = _mm_rsqrt_ps(vLengthSq);
// Reciprocal mul to perform the normalization
vResult = _mm_mul_ps(vResult,V);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4Normalize
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
float fLength;
XMVECTOR vResult;
vResult = XMVector4Length( V );
fLength = vResult.vector4_f32[0];
// Prevent divide by zero
if (fLength > 0) {
fLength = 1.0f/fLength;
}
vResult.vector4_f32[0] = V.vector4_f32[0]*fLength;
vResult.vector4_f32[1] = V.vector4_f32[1]*fLength;
vResult.vector4_f32[2] = V.vector4_f32[2]*fLength;
vResult.vector4_f32[3] = V.vector4_f32[3]*fLength;
return vResult;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
// Dot4
float32x4_t vTemp = vmulq_f32( V, V );
float32x2_t v1 = vget_low_f32( vTemp );
float32x2_t v2 = vget_high_f32( vTemp );
v1 = vadd_f32( v1, v2 );
v1 = vpadd_f32( v1, v1 );
uint32x2_t VEqualsZero = vceq_f32( v1, vdup_n_f32(0) );
uint32x2_t VEqualsInf = vceq_f32( v1, vget_low_f32(g_XMInfinity) );
// Reciprocal sqrt (2 iterations of Newton-Raphson)
float32x2_t S0 = vrsqrte_f32( v1 );
float32x2_t P0 = vmul_f32( v1, S0 );
float32x2_t R0 = vrsqrts_f32( P0, S0 );
float32x2_t S1 = vmul_f32( S0, R0 );
float32x2_t P1 = vmul_f32( v1, S1 );
float32x2_t R1 = vrsqrts_f32( P1, S1 );
v2 = vmul_f32( S1, R1 );
// Normalize
XMVECTOR vResult = vmulq_f32( V, vcombine_f32(v2,v2) );
vResult = vbslq_f32( vcombine_f32(VEqualsZero,VEqualsZero), vdupq_n_f32(0), vResult );
return vbslq_f32( vcombine_f32(VEqualsInf,VEqualsInf), g_XMQNaN, vResult );
#elif defined(_XM_SSE4_INTRINSICS_)
XMVECTOR vLengthSq = _mm_dp_ps( V, V, 0xff );
// Prepare for the division
XMVECTOR vResult = _mm_sqrt_ps(vLengthSq);
// Create zero with a single instruction
XMVECTOR vZeroMask = _mm_setzero_ps();
// Test for a divide by zero (Must be FP to detect -0.0)
vZeroMask = _mm_cmpneq_ps(vZeroMask,vResult);
// Failsafe on zero (Or epsilon) length planes
// If the length is infinity, set the elements to zero
vLengthSq = _mm_cmpneq_ps(vLengthSq,g_XMInfinity);
// Divide to perform the normalization
vResult = _mm_div_ps(V,vResult);
// Any that are infinity, set to zero
vResult = _mm_and_ps(vResult,vZeroMask);
// Select qnan or result based on infinite length
XMVECTOR vTemp1 = _mm_andnot_ps(vLengthSq,g_XMQNaN);
XMVECTOR vTemp2 = _mm_and_ps(vResult,vLengthSq);
vResult = _mm_or_ps(vTemp1,vTemp2);
return vResult;
#elif defined(_XM_SSE3_INTRINSICS_)
// Perform the dot product on x,y,z and w
XMVECTOR vLengthSq = _mm_mul_ps(V, V);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
vLengthSq = _mm_hadd_ps(vLengthSq, vLengthSq);
// Prepare for the division
XMVECTOR vResult = _mm_sqrt_ps(vLengthSq);
// Create zero with a single instruction
XMVECTOR vZeroMask = _mm_setzero_ps();
// Test for a divide by zero (Must be FP to detect -0.0)
vZeroMask = _mm_cmpneq_ps(vZeroMask,vResult);
// Failsafe on zero (Or epsilon) length planes
// If the length is infinity, set the elements to zero
vLengthSq = _mm_cmpneq_ps(vLengthSq,g_XMInfinity);
// Divide to perform the normalization
vResult = _mm_div_ps(V,vResult);
// Any that are infinity, set to zero
vResult = _mm_and_ps(vResult,vZeroMask);
// Select qnan or result based on infinite length
XMVECTOR vTemp1 = _mm_andnot_ps(vLengthSq,g_XMQNaN);
XMVECTOR vTemp2 = _mm_and_ps(vResult,vLengthSq);
vResult = _mm_or_ps(vTemp1,vTemp2);
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
// Perform the dot product on x,y,z and w
XMVECTOR vLengthSq = _mm_mul_ps(V,V);
// vTemp has z and w
XMVECTOR vTemp = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(3,2,3,2));
// x+z, y+w
vLengthSq = _mm_add_ps(vLengthSq,vTemp);
// x+z,x+z,x+z,y+w
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(1,0,0,0));
// ??,??,y+w,y+w
vTemp = _mm_shuffle_ps(vTemp,vLengthSq,_MM_SHUFFLE(3,3,0,0));
// ??,??,x+z+y+w,??
vLengthSq = _mm_add_ps(vLengthSq,vTemp);
// Splat the length
vLengthSq = XM_PERMUTE_PS(vLengthSq,_MM_SHUFFLE(2,2,2,2));
// Prepare for the division
XMVECTOR vResult = _mm_sqrt_ps(vLengthSq);
// Create zero with a single instruction
XMVECTOR vZeroMask = _mm_setzero_ps();
// Test for a divide by zero (Must be FP to detect -0.0)
vZeroMask = _mm_cmpneq_ps(vZeroMask,vResult);
// Failsafe on zero (Or epsilon) length planes
// If the length is infinity, set the elements to zero
vLengthSq = _mm_cmpneq_ps(vLengthSq,g_XMInfinity);
// Divide to perform the normalization
vResult = _mm_div_ps(V,vResult);
// Any that are infinity, set to zero
vResult = _mm_and_ps(vResult,vZeroMask);
// Select qnan or result based on infinite length
XMVECTOR vTemp1 = _mm_andnot_ps(vLengthSq,g_XMQNaN);
XMVECTOR vTemp2 = _mm_and_ps(vResult,vLengthSq);
vResult = _mm_or_ps(vTemp1,vTemp2);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4ClampLength
(
FXMVECTOR V,
float LengthMin,
float LengthMax
)
{
XMVECTOR ClampMax = XMVectorReplicate(LengthMax);
XMVECTOR ClampMin = XMVectorReplicate(LengthMin);
return XMVector4ClampLengthV(V, ClampMin, ClampMax);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4ClampLengthV
(
FXMVECTOR V,
FXMVECTOR LengthMin,
FXMVECTOR LengthMax
)
{
assert((XMVectorGetY(LengthMin) == XMVectorGetX(LengthMin)) && (XMVectorGetZ(LengthMin) == XMVectorGetX(LengthMin)) && (XMVectorGetW(LengthMin) == XMVectorGetX(LengthMin)));
assert((XMVectorGetY(LengthMax) == XMVectorGetX(LengthMax)) && (XMVectorGetZ(LengthMax) == XMVectorGetX(LengthMax)) && (XMVectorGetW(LengthMax) == XMVectorGetX(LengthMax)));
assert(XMVector4GreaterOrEqual(LengthMin, XMVectorZero()));
assert(XMVector4GreaterOrEqual(LengthMax, XMVectorZero()));
assert(XMVector4GreaterOrEqual(LengthMax, LengthMin));
XMVECTOR LengthSq = XMVector4LengthSq(V);
const XMVECTOR Zero = XMVectorZero();
XMVECTOR RcpLength = XMVectorReciprocalSqrt(LengthSq);
XMVECTOR InfiniteLength = XMVectorEqualInt(LengthSq, g_XMInfinity.v);
XMVECTOR ZeroLength = XMVectorEqual(LengthSq, Zero);
XMVECTOR Normal = XMVectorMultiply(V, RcpLength);
XMVECTOR Length = XMVectorMultiply(LengthSq, RcpLength);
XMVECTOR Select = XMVectorEqualInt(InfiniteLength, ZeroLength);
Length = XMVectorSelect(LengthSq, Length, Select);
Normal = XMVectorSelect(LengthSq, Normal, Select);
XMVECTOR ControlMax = XMVectorGreater(Length, LengthMax);
XMVECTOR ControlMin = XMVectorLess(Length, LengthMin);
XMVECTOR ClampLength = XMVectorSelect(Length, LengthMax, ControlMax);
ClampLength = XMVectorSelect(ClampLength, LengthMin, ControlMin);
XMVECTOR Result = XMVectorMultiply(Normal, ClampLength);
// Preserve the original vector (with no precision loss) if the length falls within the given range
XMVECTOR Control = XMVectorEqualInt(ControlMax, ControlMin);
Result = XMVectorSelect(Result, V, Control);
return Result;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4Reflect
(
FXMVECTOR Incident,
FXMVECTOR Normal
)
{
// Result = Incident - (2 * dot(Incident, Normal)) * Normal
XMVECTOR Result = XMVector4Dot(Incident, Normal);
Result = XMVectorAdd(Result, Result);
Result = XMVectorNegativeMultiplySubtract(Result, Normal, Incident);
return Result;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4Refract
(
FXMVECTOR Incident,
FXMVECTOR Normal,
float RefractionIndex
)
{
XMVECTOR Index = XMVectorReplicate(RefractionIndex);
return XMVector4RefractV(Incident, Normal, Index);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4RefractV
(
FXMVECTOR Incident,
FXMVECTOR Normal,
FXMVECTOR RefractionIndex
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTOR IDotN;
XMVECTOR R;
const XMVECTOR Zero = XMVectorZero();
// Result = RefractionIndex * Incident - Normal * (RefractionIndex * dot(Incident, Normal) +
// sqrt(1 - RefractionIndex * RefractionIndex * (1 - dot(Incident, Normal) * dot(Incident, Normal))))
IDotN = XMVector4Dot(Incident, Normal);
// R = 1.0f - RefractionIndex * RefractionIndex * (1.0f - IDotN * IDotN)
R = XMVectorNegativeMultiplySubtract(IDotN, IDotN, g_XMOne.v);
R = XMVectorMultiply(R, RefractionIndex);
R = XMVectorNegativeMultiplySubtract(R, RefractionIndex, g_XMOne.v);
if (XMVector4LessOrEqual(R, Zero))
{
// Total internal reflection
return Zero;
}
else
{
XMVECTOR Result;
// R = RefractionIndex * IDotN + sqrt(R)
R = XMVectorSqrt(R);
R = XMVectorMultiplyAdd(RefractionIndex, IDotN, R);
// Result = RefractionIndex * Incident - Normal * R
Result = XMVectorMultiply(RefractionIndex, Incident);
Result = XMVectorNegativeMultiplySubtract(Normal, R, Result);
return Result;
}
#elif defined(_XM_ARM_NEON_INTRINSICS_)
XMVECTOR IDotN = XMVector4Dot(Incident,Normal);
// R = 1.0f - RefractionIndex * RefractionIndex * (1.0f - IDotN * IDotN)
float32x4_t R = vmlsq_f32( g_XMOne, IDotN, IDotN);
R = vmulq_f32(R, RefractionIndex);
R = vmlsq_f32(g_XMOne, R, RefractionIndex );
uint32x4_t vResult = vcleq_f32(R,g_XMZero);
int8x8x2_t vTemp = vzip_u8(vget_low_u8(vResult), vget_high_u8(vResult));
vTemp = vzip_u16(vTemp.val[0], vTemp.val[1]);
if ( vget_lane_u32(vTemp.val[1], 1) == 0xFFFFFFFFU )
{
// Total internal reflection
vResult = g_XMZero;
}
else
{
// Sqrt(R)
float32x4_t S0 = vrsqrteq_f32(R);
float32x4_t P0 = vmulq_f32( R, S0 );
float32x4_t R0 = vrsqrtsq_f32( P0, S0 );
float32x4_t S1 = vmulq_f32( S0, R0 );
float32x4_t P1 = vmulq_f32( R, S1 );
float32x4_t R1 = vrsqrtsq_f32( P1, S1 );
float32x4_t S2 = vmulq_f32( S1, R1 );
R = vmulq_f32( R, S2 );
// R = RefractionIndex * IDotN + sqrt(R)
R = vmlaq_f32( R, RefractionIndex, IDotN );
// Result = RefractionIndex * Incident - Normal * R
vResult = vmulq_f32(RefractionIndex, Incident);
vResult = vmlsq_f32( vResult, R, Normal );
}
return vResult;
#elif defined(_XM_SSE_INTRINSICS_)
XMVECTOR IDotN = XMVector4Dot(Incident,Normal);
// R = 1.0f - RefractionIndex * RefractionIndex * (1.0f - IDotN * IDotN)
XMVECTOR R = _mm_mul_ps(IDotN,IDotN);
R = _mm_sub_ps(g_XMOne,R);
R = _mm_mul_ps(R, RefractionIndex);
R = _mm_mul_ps(R, RefractionIndex);
R = _mm_sub_ps(g_XMOne,R);
XMVECTOR vResult = _mm_cmple_ps(R,g_XMZero);
if (_mm_movemask_ps(vResult)==0x0f)
{
// Total internal reflection
vResult = g_XMZero;
}
else
{
// R = RefractionIndex * IDotN + sqrt(R)
R = _mm_sqrt_ps(R);
vResult = _mm_mul_ps(RefractionIndex, IDotN);
R = _mm_add_ps(R,vResult);
// Result = RefractionIndex * Incident - Normal * R
vResult = _mm_mul_ps(RefractionIndex, Incident);
R = _mm_mul_ps(R,Normal);
vResult = _mm_sub_ps(vResult,R);
}
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4Orthogonal
(
FXMVECTOR V
)
{
#if defined(_XM_NO_INTRINSICS_)
XMVECTORF32 Result = { { {
V.vector4_f32[2],
V.vector4_f32[3],
-V.vector4_f32[0],
-V.vector4_f32[1]
} } };
return Result.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
static const XMVECTORF32 Negate = { { { 1.f, 1.f, -1.f, -1.f } } };
float32x4_t Result = vcombine_f32( vget_high_f32( V ), vget_low_f32( V ) );
return vmulq_f32( Result, Negate );
#elif defined(_XM_SSE_INTRINSICS_)
static const XMVECTORF32 FlipZW = { { { 1.0f, 1.0f, -1.0f, -1.0f } } };
XMVECTOR vResult = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,0,3,2));
vResult = _mm_mul_ps(vResult,FlipZW);
return vResult;
#endif
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4AngleBetweenNormalsEst
(
FXMVECTOR N1,
FXMVECTOR N2
)
{
XMVECTOR Result = XMVector4Dot(N1, N2);
Result = XMVectorClamp(Result, g_XMNegativeOne.v, g_XMOne.v);
Result = XMVectorACosEst(Result);
return Result;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4AngleBetweenNormals
(
FXMVECTOR N1,
FXMVECTOR N2
)
{
XMVECTOR Result = XMVector4Dot(N1, N2);
Result = XMVectorClamp(Result, g_XMNegativeOne.v, g_XMOne.v);
Result = XMVectorACos(Result);
return Result;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4AngleBetweenVectors
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
XMVECTOR L1 = XMVector4ReciprocalLength(V1);
XMVECTOR L2 = XMVector4ReciprocalLength(V2);
XMVECTOR Dot = XMVector4Dot(V1, V2);
L1 = XMVectorMultiply(L1, L2);
XMVECTOR CosAngle = XMVectorMultiply(Dot, L1);
CosAngle = XMVectorClamp(CosAngle, g_XMNegativeOne.v, g_XMOne.v);
return XMVectorACos(CosAngle);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV XMVector4Transform
(
FXMVECTOR V,
FXMMATRIX M
)
{
#if defined(_XM_NO_INTRINSICS_)
float fX = (M.m[0][0]*V.vector4_f32[0])+(M.m[1][0]*V.vector4_f32[1])+(M.m[2][0]*V.vector4_f32[2])+(M.m[3][0]*V.vector4_f32[3]);
float fY = (M.m[0][1]*V.vector4_f32[0])+(M.m[1][1]*V.vector4_f32[1])+(M.m[2][1]*V.vector4_f32[2])+(M.m[3][1]*V.vector4_f32[3]);
float fZ = (M.m[0][2]*V.vector4_f32[0])+(M.m[1][2]*V.vector4_f32[1])+(M.m[2][2]*V.vector4_f32[2])+(M.m[3][2]*V.vector4_f32[3]);
float fW = (M.m[0][3]*V.vector4_f32[0])+(M.m[1][3]*V.vector4_f32[1])+(M.m[2][3]*V.vector4_f32[2])+(M.m[3][3]*V.vector4_f32[3]);
XMVECTORF32 vResult = { { { fX, fY, fZ, fW } } };
return vResult.v;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
float32x2_t VL = vget_low_f32( V );
XMVECTOR vResult = vmulq_lane_f32( M.r[0], VL, 0 ); // X
vResult = vmlaq_lane_f32( vResult, M.r[1], VL, 1 ); // Y
float32x2_t VH = vget_high_f32( V );
vResult = vmlaq_lane_f32( vResult, M.r[2], VH, 0 ); // Z
return vmlaq_lane_f32( vResult, M.r[3], VH, 1 ); // W
#elif defined(_XM_SSE_INTRINSICS_)
// Splat x,y,z and w
XMVECTOR vTempX = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,0,0,0));
XMVECTOR vTempY = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
XMVECTOR vTempZ = XM_PERMUTE_PS(V,_MM_SHUFFLE(2,2,2,2));
XMVECTOR vTempW = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,3,3,3));
// Mul by the matrix
vTempX = _mm_mul_ps(vTempX,M.r[0]);
vTempY = _mm_mul_ps(vTempY,M.r[1]);
vTempZ = _mm_mul_ps(vTempZ,M.r[2]);
vTempW = _mm_mul_ps(vTempW,M.r[3]);
// Add them all together
vTempX = _mm_add_ps(vTempX,vTempY);
vTempZ = _mm_add_ps(vTempZ,vTempW);
vTempX = _mm_add_ps(vTempX,vTempZ);
return vTempX;
#endif
}
//------------------------------------------------------------------------------
_Use_decl_annotations_
inline XMFLOAT4* XM_CALLCONV XMVector4TransformStream
(
XMFLOAT4* pOutputStream,
size_t OutputStride,
const XMFLOAT4* pInputStream,
size_t InputStride,
size_t VectorCount,
FXMMATRIX M
)
{
assert(pOutputStream != nullptr);
assert(pInputStream != nullptr);
assert(InputStride >= sizeof(XMFLOAT4));
_Analysis_assume_(InputStride >= sizeof(XMFLOAT4));
assert(OutputStride >= sizeof(XMFLOAT4));
_Analysis_assume_(OutputStride >= sizeof(XMFLOAT4));
#if defined(_XM_NO_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row2 = M.r[2];
const XMVECTOR row3 = M.r[3];
for (size_t i = 0; i < VectorCount; i++)
{
XMVECTOR V = XMLoadFloat4((const XMFLOAT4*)pInputVector);
XMVECTOR W = XMVectorSplatW(V);
XMVECTOR Z = XMVectorSplatZ(V);
XMVECTOR Y = XMVectorSplatY(V);
XMVECTOR X = XMVectorSplatX(V);
XMVECTOR Result = XMVectorMultiply(W, row3);
Result = XMVectorMultiplyAdd(Z, row2, Result);
Result = XMVectorMultiplyAdd(Y, row1, Result);
Result = XMVectorMultiplyAdd(X, row0, Result);
#ifdef _PREFAST_
#pragma prefast(push)
#pragma prefast(disable : 26015, "PREfast noise: Esp:1307" )
#endif
XMStoreFloat4((XMFLOAT4*)pOutputVector, Result);
#ifdef _PREFAST_
#pragma prefast(pop)
#endif
pInputVector += InputStride;
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_ARM_NEON_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row2 = M.r[2];
const XMVECTOR row3 = M.r[3];
size_t i = 0;
size_t four = VectorCount >> 2;
if ( four > 0 )
{
if ((InputStride == sizeof(XMFLOAT4)) && (OutputStride == sizeof(XMFLOAT4)))
{
for (size_t j = 0; j < four; ++j)
{
float32x4x4_t V = vld4q_f32( reinterpret_cast<const float*>(pInputVector) );
pInputVector += sizeof(XMFLOAT4)*4;
float32x2_t r = vget_low_f32( row0 );
XMVECTOR vResult0 = vmulq_lane_f32( V.val[0], r, 0 ); // Ax
XMVECTOR vResult1 = vmulq_lane_f32( V.val[0], r, 1 ); // Bx
__prefetch( pInputVector );
r = vget_high_f32( row0 );
XMVECTOR vResult2 = vmulq_lane_f32( V.val[0], r, 0 ); // Cx
XMVECTOR vResult3 = vmulq_lane_f32( V.val[0], r, 1 ); // Dx
__prefetch( pInputVector+XM_CACHE_LINE_SIZE );
r = vget_low_f32( row1 );
vResult0 = vmlaq_lane_f32( vResult0, V.val[1], r, 0 ); // Ax+Ey
vResult1 = vmlaq_lane_f32( vResult1, V.val[1], r, 1 ); // Bx+Fy
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*2) );
r = vget_high_f32( row1 );
vResult2 = vmlaq_lane_f32( vResult2, V.val[1], r, 0 ); // Cx+Gy
vResult3 = vmlaq_lane_f32( vResult3, V.val[1], r, 1 ); // Dx+Hy
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*3) );
r = vget_low_f32( row2 );
vResult0 = vmlaq_lane_f32( vResult0, V.val[2], r, 0 ); // Ax+Ey+Iz
vResult1 = vmlaq_lane_f32( vResult1, V.val[2], r, 1 ); // Bx+Fy+Jz
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*4) );
r = vget_high_f32( row2 );
vResult2 = vmlaq_lane_f32( vResult2, V.val[2], r, 0 ); // Cx+Gy+Kz
vResult3 = vmlaq_lane_f32( vResult3, V.val[2], r, 1 ); // Dx+Hy+Lz
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*5) );
r = vget_low_f32( row3 );
vResult0 = vmlaq_lane_f32( vResult0, V.val[3], r, 0 ); // Ax+Ey+Iz+Mw
vResult1 = vmlaq_lane_f32( vResult1, V.val[3], r, 1 ); // Bx+Fy+Jz+Nw
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*6) );
r = vget_high_f32( row3 );
vResult2 = vmlaq_lane_f32( vResult2, V.val[3], r, 0 ); // Cx+Gy+Kz+Ow
vResult3 = vmlaq_lane_f32( vResult3, V.val[3], r, 1 ); // Dx+Hy+Lz+Pw
__prefetch( pInputVector+(XM_CACHE_LINE_SIZE*7) );
V.val[0] = vResult0;
V.val[1] = vResult1;
V.val[2] = vResult2;
V.val[3] = vResult3;
vst4q_f32( reinterpret_cast<float*>(pOutputVector), V );
pOutputVector += sizeof(XMFLOAT4)*4;
i += 4;
}
}
}
for (; i < VectorCount; i++)
{
XMVECTOR V = vld1q_f32( reinterpret_cast<const float*>(pInputVector) );
pInputVector += InputStride;
float32x2_t VL = vget_low_f32( V );
XMVECTOR vResult = vmulq_lane_f32( row0, VL, 0 ); // X
vResult = vmlaq_lane_f32( vResult, row1, VL, 1 ); // Y
float32x2_t VH = vget_high_f32( V );
vResult = vmlaq_lane_f32( vResult, row2, VH, 0 ); // Z
vResult = vmlaq_lane_f32( vResult, row3, VH, 1 ); // W
vst1q_f32( reinterpret_cast<float*>(pOutputVector), vResult );
pOutputVector += OutputStride;
}
return pOutputStream;
#elif defined(_XM_SSE_INTRINSICS_)
const uint8_t* pInputVector = (const uint8_t*)pInputStream;
uint8_t* pOutputVector = (uint8_t*)pOutputStream;
const XMVECTOR row0 = M.r[0];
const XMVECTOR row1 = M.r[1];
const XMVECTOR row2 = M.r[2];
const XMVECTOR row3 = M.r[3];
if ( !((uintptr_t)pOutputStream & 0xF) && !(OutputStride & 0xF) )
{
if ( !((uintptr_t)pInputStream & 0xF) && !(InputStride & 0xF) )
{
// Aligned input, aligned output
for (size_t i = 0; i < VectorCount; i++)
{
__m128 V = _mm_load_ps( reinterpret_cast<const float*>(pInputVector) );
pInputVector += InputStride;
XMVECTOR vTempX = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,0,0,0));
XMVECTOR vTempY = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
XMVECTOR vTempZ = XM_PERMUTE_PS(V,_MM_SHUFFLE(2,2,2,2));
XMVECTOR vTempW = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,3,3,3));
vTempX = _mm_mul_ps(vTempX,row0);
vTempY = _mm_mul_ps(vTempY,row1);
vTempZ = _mm_mul_ps(vTempZ,row2);
vTempW = _mm_mul_ps(vTempW,row3);
vTempX = _mm_add_ps(vTempX,vTempY);
vTempZ = _mm_add_ps(vTempZ,vTempW);
vTempX = _mm_add_ps(vTempX,vTempZ);
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), vTempX );
pOutputVector += OutputStride;
}
}
else
{
// Unaligned input, aligned output
for (size_t i = 0; i < VectorCount; i++)
{
__m128 V = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
pInputVector += InputStride;
XMVECTOR vTempX = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,0,0,0));
XMVECTOR vTempY = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
XMVECTOR vTempZ = XM_PERMUTE_PS(V,_MM_SHUFFLE(2,2,2,2));
XMVECTOR vTempW = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,3,3,3));
vTempX = _mm_mul_ps(vTempX,row0);
vTempY = _mm_mul_ps(vTempY,row1);
vTempZ = _mm_mul_ps(vTempZ,row2);
vTempW = _mm_mul_ps(vTempW,row3);
vTempX = _mm_add_ps(vTempX,vTempY);
vTempZ = _mm_add_ps(vTempZ,vTempW);
vTempX = _mm_add_ps(vTempX,vTempZ);
XM_STREAM_PS( reinterpret_cast<float*>(pOutputVector), vTempX );
pOutputVector += OutputStride;
}
}
}
else
{
if ( !((uintptr_t)pInputStream & 0xF) && !(InputStride & 0xF) )
{
// Aligned input, unaligned output
for (size_t i = 0; i < VectorCount; i++)
{
__m128 V = _mm_load_ps( reinterpret_cast<const float*>(pInputVector) );
pInputVector += InputStride;
XMVECTOR vTempX = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,0,0,0));
XMVECTOR vTempY = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
XMVECTOR vTempZ = XM_PERMUTE_PS(V,_MM_SHUFFLE(2,2,2,2));
XMVECTOR vTempW = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,3,3,3));
vTempX = _mm_mul_ps(vTempX,row0);
vTempY = _mm_mul_ps(vTempY,row1);
vTempZ = _mm_mul_ps(vTempZ,row2);
vTempW = _mm_mul_ps(vTempW,row3);
vTempX = _mm_add_ps(vTempX,vTempY);
vTempZ = _mm_add_ps(vTempZ,vTempW);
vTempX = _mm_add_ps(vTempX,vTempZ);
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), vTempX );
pOutputVector += OutputStride;
}
}
else
{
// Unaligned input, unaligned output
for (size_t i = 0; i < VectorCount; i++)
{
__m128 V = _mm_loadu_ps( reinterpret_cast<const float*>(pInputVector) );
pInputVector += InputStride;
XMVECTOR vTempX = XM_PERMUTE_PS(V,_MM_SHUFFLE(0,0,0,0));
XMVECTOR vTempY = XM_PERMUTE_PS(V,_MM_SHUFFLE(1,1,1,1));
XMVECTOR vTempZ = XM_PERMUTE_PS(V,_MM_SHUFFLE(2,2,2,2));
XMVECTOR vTempW = XM_PERMUTE_PS(V,_MM_SHUFFLE(3,3,3,3));
vTempX = _mm_mul_ps(vTempX,row0);
vTempY = _mm_mul_ps(vTempY,row1);
vTempZ = _mm_mul_ps(vTempZ,row2);
vTempW = _mm_mul_ps(vTempW,row3);
vTempX = _mm_add_ps(vTempX,vTempY);
vTempZ = _mm_add_ps(vTempZ,vTempW);
vTempX = _mm_add_ps(vTempX,vTempZ);
_mm_storeu_ps( reinterpret_cast<float*>(pOutputVector), vTempX );
pOutputVector += OutputStride;
}
}
}
XM_SFENCE();
return pOutputStream;
#endif
}
/****************************************************************************
*
* XMVECTOR operators
*
****************************************************************************/
#ifndef _XM_NO_XMVECTOR_OVERLOADS_
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV operator+ (FXMVECTOR V)
{
return V;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV operator- (FXMVECTOR V)
{
return XMVectorNegate(V);
}
//------------------------------------------------------------------------------
inline XMVECTOR& XM_CALLCONV operator+=
(
XMVECTOR& V1,
FXMVECTOR V2
)
{
V1 = XMVectorAdd(V1, V2);
return V1;
}
//------------------------------------------------------------------------------
inline XMVECTOR& XM_CALLCONV operator-=
(
XMVECTOR& V1,
FXMVECTOR V2
)
{
V1 = XMVectorSubtract(V1, V2);
return V1;
}
//------------------------------------------------------------------------------
inline XMVECTOR& XM_CALLCONV operator*=
(
XMVECTOR& V1,
FXMVECTOR V2
)
{
V1 = XMVectorMultiply(V1, V2);
return V1;
}
//------------------------------------------------------------------------------
inline XMVECTOR& XM_CALLCONV operator/=
(
XMVECTOR& V1,
FXMVECTOR V2
)
{
V1 = XMVectorDivide(V1,V2);
return V1;
}
//------------------------------------------------------------------------------
inline XMVECTOR& operator*=
(
XMVECTOR& V,
const float S
)
{
V = XMVectorScale(V, S);
return V;
}
//------------------------------------------------------------------------------
inline XMVECTOR& operator/=
(
XMVECTOR& V,
const float S
)
{
XMVECTOR vS = XMVectorReplicate( S );
V = XMVectorDivide(V, vS);
return V;
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV operator+
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
return XMVectorAdd(V1, V2);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV operator-
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
return XMVectorSubtract(V1, V2);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV operator*
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
return XMVectorMultiply(V1, V2);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV operator/
(
FXMVECTOR V1,
FXMVECTOR V2
)
{
return XMVectorDivide(V1,V2);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV operator*
(
FXMVECTOR V,
const float S
)
{
return XMVectorScale(V, S);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV operator/
(
FXMVECTOR V,
const float S
)
{
XMVECTOR vS = XMVectorReplicate( S );
return XMVectorDivide(V, vS);
}
//------------------------------------------------------------------------------
inline XMVECTOR XM_CALLCONV operator*
(
float S,
FXMVECTOR V
)
{
return XMVectorScale(V, S);
}
#endif /* !_XM_NO_XMVECTOR_OVERLOADS_ */
#if defined(_XM_NO_INTRINSICS_)
#undef XMISNAN
#undef XMISINF
#endif
#if defined(_XM_SSE_INTRINSICS_)
#undef XM3UNPACK3INTO4
#undef XM3PACK4INTO3
#endif
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