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authorJørgen P. Tjernø <[email protected]>2013-12-02 19:31:46 -0800
committerJørgen P. Tjernø <[email protected]>2013-12-02 19:46:31 -0800
commitf56bb35301836e56582a575a75864392a0177875 (patch)
treede61ddd39de3e7df52759711950b4c288592f0dc /mp/src/public/mathlib/ssequaternion.h
parentMark some more files as text. (diff)
downloadsource-sdk-2013-f56bb35301836e56582a575a75864392a0177875.tar.xz
source-sdk-2013-f56bb35301836e56582a575a75864392a0177875.zip
Fix line endings. WHAMMY.
Diffstat (limited to 'mp/src/public/mathlib/ssequaternion.h')
-rw-r--r--mp/src/public/mathlib/ssequaternion.h734
1 files changed, 367 insertions, 367 deletions
diff --git a/mp/src/public/mathlib/ssequaternion.h b/mp/src/public/mathlib/ssequaternion.h
index 5d60961e..825a9e45 100644
--- a/mp/src/public/mathlib/ssequaternion.h
+++ b/mp/src/public/mathlib/ssequaternion.h
@@ -1,367 +1,367 @@
-//========= Copyright Valve Corporation, All rights reserved. ============//
-//
-// Purpose: - defines SIMD "structure of arrays" classes and functions.
-//
-//===========================================================================//
-#ifndef SSEQUATMATH_H
-#define SSEQUATMATH_H
-
-#ifdef _WIN32
-#pragma once
-#endif
-
-
-#include "mathlib/ssemath.h"
-
-// Use this #define to allow SSE versions of Quaternion math
-// to exist on PC.
-// On PC, certain horizontal vector operations are not supported.
-// This causes the SSE implementation of quaternion math to mix the
-// vector and scalar floating point units, which is extremely
-// performance negative if you don't compile to native SSE2 (which
-// we don't as of Sept 1, 2007). So, it's best not to allow these
-// functions to exist at all. It's not good enough to simply replace
-// the contents of the functions with scalar math, because each call
-// to LoadAligned and StoreAligned will result in an unnecssary copy
-// of the quaternion, and several moves to and from the XMM registers.
-//
-// Basically, the problem you run into is that for efficient SIMD code,
-// you need to load the quaternions and vectors into SIMD registers and
-// keep them there as long as possible while doing only SIMD math,
-// whereas for efficient scalar code, each time you copy onto or ever
-// use a fltx4, it hoses your pipeline. So the difference has to be
-// in the management of temporary variables in the calling function,
-// not inside the math functions.
-//
-// If you compile assuming the presence of SSE2, the MSVC will abandon
-// the traditional x87 FPU operations altogether and make everything use
-// the SSE2 registers, which lessens this problem a little.
-
-// permitted only on 360, as we've done careful tuning on its Altivec math:
-#ifdef _X360
-#define ALLOW_SIMD_QUATERNION_MATH 1 // not on PC!
-#endif
-
-
-
-//---------------------------------------------------------------------
-// Load/store quaternions
-//---------------------------------------------------------------------
-#ifndef _X360
-#if ALLOW_SIMD_QUATERNION_MATH
-// Using STDC or SSE
-FORCEINLINE fltx4 LoadAlignedSIMD( const QuaternionAligned & pSIMD )
-{
- fltx4 retval = LoadAlignedSIMD( pSIMD.Base() );
- return retval;
-}
-
-FORCEINLINE fltx4 LoadAlignedSIMD( const QuaternionAligned * RESTRICT pSIMD )
-{
- fltx4 retval = LoadAlignedSIMD( pSIMD );
- return retval;
-}
-
-FORCEINLINE void StoreAlignedSIMD( QuaternionAligned * RESTRICT pSIMD, const fltx4 & a )
-{
- StoreAlignedSIMD( pSIMD->Base(), a );
-}
-#endif
-#else
-
-// for the transitional class -- load a QuaternionAligned
-FORCEINLINE fltx4 LoadAlignedSIMD( const QuaternionAligned & pSIMD )
-{
- fltx4 retval = XMLoadVector4A( pSIMD.Base() );
- return retval;
-}
-
-FORCEINLINE fltx4 LoadAlignedSIMD( const QuaternionAligned * RESTRICT pSIMD )
-{
- fltx4 retval = XMLoadVector4A( pSIMD );
- return retval;
-}
-
-FORCEINLINE void StoreAlignedSIMD( QuaternionAligned * RESTRICT pSIMD, const fltx4 & a )
-{
- XMStoreVector4A( pSIMD->Base(), a );
-}
-
-#endif
-
-
-#if ALLOW_SIMD_QUATERNION_MATH
-//---------------------------------------------------------------------
-// Make sure quaternions are within 180 degrees of one another, if not, reverse q
-//---------------------------------------------------------------------
-FORCEINLINE fltx4 QuaternionAlignSIMD( const fltx4 &p, const fltx4 &q )
-{
- // decide if one of the quaternions is backwards
- fltx4 a = SubSIMD( p, q );
- fltx4 b = AddSIMD( p, q );
- a = Dot4SIMD( a, a );
- b = Dot4SIMD( b, b );
- fltx4 cmp = CmpGtSIMD( a, b );
- fltx4 result = MaskedAssign( cmp, NegSIMD(q), q );
- return result;
-}
-
-//---------------------------------------------------------------------
-// Normalize Quaternion
-//---------------------------------------------------------------------
-#if USE_STDC_FOR_SIMD
-
-FORCEINLINE fltx4 QuaternionNormalizeSIMD( const fltx4 &q )
-{
- fltx4 radius, result;
- radius = Dot4SIMD( q, q );
-
- if ( SubFloat( radius, 0 ) ) // > FLT_EPSILON && ((radius < 1.0f - 4*FLT_EPSILON) || (radius > 1.0f + 4*FLT_EPSILON))
- {
- float iradius = 1.0f / sqrt( SubFloat( radius, 0 ) );
- result = ReplicateX4( iradius );
- result = MulSIMD( result, q );
- return result;
- }
- return q;
-}
-
-#else
-
-// SSE + X360 implementation
-FORCEINLINE fltx4 QuaternionNormalizeSIMD( const fltx4 &q )
-{
- fltx4 radius, result, mask;
- radius = Dot4SIMD( q, q );
- mask = CmpEqSIMD( radius, Four_Zeros ); // all ones iff radius = 0
- result = ReciprocalSqrtSIMD( radius );
- result = MulSIMD( result, q );
- return MaskedAssign( mask, q, result ); // if radius was 0, just return q
-}
-
-#endif
-
-
-//---------------------------------------------------------------------
-// 0.0 returns p, 1.0 return q.
-//---------------------------------------------------------------------
-FORCEINLINE fltx4 QuaternionBlendNoAlignSIMD( const fltx4 &p, const fltx4 &q, float t )
-{
- fltx4 sclp, sclq, result;
- sclq = ReplicateX4( t );
- sclp = SubSIMD( Four_Ones, sclq );
- result = MulSIMD( sclp, p );
- result = MaddSIMD( sclq, q, result );
- return QuaternionNormalizeSIMD( result );
-}
-
-
-//---------------------------------------------------------------------
-// Blend Quaternions
-//---------------------------------------------------------------------
-FORCEINLINE fltx4 QuaternionBlendSIMD( const fltx4 &p, const fltx4 &q, float t )
-{
- // decide if one of the quaternions is backwards
- fltx4 q2, result;
- q2 = QuaternionAlignSIMD( p, q );
- result = QuaternionBlendNoAlignSIMD( p, q2, t );
- return result;
-}
-
-
-//---------------------------------------------------------------------
-// Multiply Quaternions
-//---------------------------------------------------------------------
-#ifndef _X360
-
-// SSE and STDC
-FORCEINLINE fltx4 QuaternionMultSIMD( const fltx4 &p, const fltx4 &q )
-{
- // decide if one of the quaternions is backwards
- fltx4 q2, result;
- q2 = QuaternionAlignSIMD( p, q );
- SubFloat( result, 0 ) = SubFloat( p, 0 ) * SubFloat( q2, 3 ) + SubFloat( p, 1 ) * SubFloat( q2, 2 ) - SubFloat( p, 2 ) * SubFloat( q2, 1 ) + SubFloat( p, 3 ) * SubFloat( q2, 0 );
- SubFloat( result, 1 ) = -SubFloat( p, 0 ) * SubFloat( q2, 2 ) + SubFloat( p, 1 ) * SubFloat( q2, 3 ) + SubFloat( p, 2 ) * SubFloat( q2, 0 ) + SubFloat( p, 3 ) * SubFloat( q2, 1 );
- SubFloat( result, 2 ) = SubFloat( p, 0 ) * SubFloat( q2, 1 ) - SubFloat( p, 1 ) * SubFloat( q2, 0 ) + SubFloat( p, 2 ) * SubFloat( q2, 3 ) + SubFloat( p, 3 ) * SubFloat( q2, 2 );
- SubFloat( result, 3 ) = -SubFloat( p, 0 ) * SubFloat( q2, 0 ) - SubFloat( p, 1 ) * SubFloat( q2, 1 ) - SubFloat( p, 2 ) * SubFloat( q2, 2 ) + SubFloat( p, 3 ) * SubFloat( q2, 3 );
- return result;
-}
-
-#else
-
-// X360
-extern const fltx4 g_QuatMultRowSign[4];
-FORCEINLINE fltx4 QuaternionMultSIMD( const fltx4 &p, const fltx4 &q )
-{
- fltx4 q2, row, result;
- q2 = QuaternionAlignSIMD( p, q );
-
- row = XMVectorSwizzle( q2, 3, 2, 1, 0 );
- row = MulSIMD( row, g_QuatMultRowSign[0] );
- result = Dot4SIMD( row, p );
-
- row = XMVectorSwizzle( q2, 2, 3, 0, 1 );
- row = MulSIMD( row, g_QuatMultRowSign[1] );
- row = Dot4SIMD( row, p );
- result = __vrlimi( result, row, 4, 0 );
-
- row = XMVectorSwizzle( q2, 1, 0, 3, 2 );
- row = MulSIMD( row, g_QuatMultRowSign[2] );
- row = Dot4SIMD( row, p );
- result = __vrlimi( result, row, 2, 0 );
-
- row = MulSIMD( q2, g_QuatMultRowSign[3] );
- row = Dot4SIMD( row, p );
- result = __vrlimi( result, row, 1, 0 );
- return result;
-}
-
-#endif
-
-
-//---------------------------------------------------------------------
-// Quaternion scale
-//---------------------------------------------------------------------
-#ifndef _X360
-
-// SSE and STDC
-FORCEINLINE fltx4 QuaternionScaleSIMD( const fltx4 &p, float t )
-{
- float r;
- fltx4 q;
-
- // FIXME: nick, this isn't overly sensitive to accuracy, and it may be faster to
- // use the cos part (w) of the quaternion (sin(omega)*N,cos(omega)) to figure the new scale.
- float sinom = sqrt( SubFloat( p, 0 ) * SubFloat( p, 0 ) + SubFloat( p, 1 ) * SubFloat( p, 1 ) + SubFloat( p, 2 ) * SubFloat( p, 2 ) );
- sinom = min( sinom, 1.f );
-
- float sinsom = sin( asin( sinom ) * t );
-
- t = sinsom / (sinom + FLT_EPSILON);
- SubFloat( q, 0 ) = t * SubFloat( p, 0 );
- SubFloat( q, 1 ) = t * SubFloat( p, 1 );
- SubFloat( q, 2 ) = t * SubFloat( p, 2 );
-
- // rescale rotation
- r = 1.0f - sinsom * sinsom;
-
- // Assert( r >= 0 );
- if (r < 0.0f)
- r = 0.0f;
- r = sqrt( r );
-
- // keep sign of rotation
- SubFloat( q, 3 ) = fsel( SubFloat( p, 3 ), r, -r );
- return q;
-}
-
-#else
-
-// X360
-FORCEINLINE fltx4 QuaternionScaleSIMD( const fltx4 &p, float t )
-{
- fltx4 sinom = Dot3SIMD( p, p );
- sinom = SqrtSIMD( sinom );
- sinom = MinSIMD( sinom, Four_Ones );
- fltx4 sinsom = ArcSinSIMD( sinom );
- fltx4 t4 = ReplicateX4( t );
- sinsom = MulSIMD( sinsom, t4 );
- sinsom = SinSIMD( sinsom );
- sinom = AddSIMD( sinom, Four_Epsilons );
- sinom = ReciprocalSIMD( sinom );
- t4 = MulSIMD( sinsom, sinom );
- fltx4 result = MulSIMD( p, t4 );
-
- // rescale rotation
- sinsom = MulSIMD( sinsom, sinsom );
- fltx4 r = SubSIMD( Four_Ones, sinsom );
- r = MaxSIMD( r, Four_Zeros );
- r = SqrtSIMD( r );
-
- // keep sign of rotation
- fltx4 cmp = CmpGeSIMD( p, Four_Zeros );
- r = MaskedAssign( cmp, r, NegSIMD( r ) );
-
- result = __vrlimi(result, r, 1, 0);
- return result;
-}
-
-#endif
-
-
-//-----------------------------------------------------------------------------
-// Quaternion sphereical linear interpolation
-//-----------------------------------------------------------------------------
-#ifndef _X360
-
-// SSE and STDC
-FORCEINLINE fltx4 QuaternionSlerpNoAlignSIMD( const fltx4 &p, const fltx4 &q, float t )
-{
- float omega, cosom, sinom, sclp, sclq;
-
- fltx4 result;
-
- // 0.0 returns p, 1.0 return q.
- cosom = SubFloat( p, 0 ) * SubFloat( q, 0 ) + SubFloat( p, 1 ) * SubFloat( q, 1 ) +
- SubFloat( p, 2 ) * SubFloat( q, 2 ) + SubFloat( p, 3 ) * SubFloat( q, 3 );
-
- if ( (1.0f + cosom ) > 0.000001f )
- {
- if ( (1.0f - cosom ) > 0.000001f )
- {
- omega = acos( cosom );
- sinom = sin( omega );
- sclp = sin( (1.0f - t)*omega) / sinom;
- sclq = sin( t*omega ) / sinom;
- }
- else
- {
- // TODO: add short circuit for cosom == 1.0f?
- sclp = 1.0f - t;
- sclq = t;
- }
- SubFloat( result, 0 ) = sclp * SubFloat( p, 0 ) + sclq * SubFloat( q, 0 );
- SubFloat( result, 1 ) = sclp * SubFloat( p, 1 ) + sclq * SubFloat( q, 1 );
- SubFloat( result, 2 ) = sclp * SubFloat( p, 2 ) + sclq * SubFloat( q, 2 );
- SubFloat( result, 3 ) = sclp * SubFloat( p, 3 ) + sclq * SubFloat( q, 3 );
- }
- else
- {
- SubFloat( result, 0 ) = -SubFloat( q, 1 );
- SubFloat( result, 1 ) = SubFloat( q, 0 );
- SubFloat( result, 2 ) = -SubFloat( q, 3 );
- SubFloat( result, 3 ) = SubFloat( q, 2 );
- sclp = sin( (1.0f - t) * (0.5f * M_PI));
- sclq = sin( t * (0.5f * M_PI));
- SubFloat( result, 0 ) = sclp * SubFloat( p, 0 ) + sclq * SubFloat( result, 0 );
- SubFloat( result, 1 ) = sclp * SubFloat( p, 1 ) + sclq * SubFloat( result, 1 );
- SubFloat( result, 2 ) = sclp * SubFloat( p, 2 ) + sclq * SubFloat( result, 2 );
- }
-
- return result;
-}
-
-#else
-
-// X360
-FORCEINLINE fltx4 QuaternionSlerpNoAlignSIMD( const fltx4 &p, const fltx4 &q, float t )
-{
- return XMQuaternionSlerp( p, q, t );
-}
-
-#endif
-
-
-FORCEINLINE fltx4 QuaternionSlerpSIMD( const fltx4 &p, const fltx4 &q, float t )
-{
- fltx4 q2, result;
- q2 = QuaternionAlignSIMD( p, q );
- result = QuaternionSlerpNoAlignSIMD( p, q2, t );
- return result;
-}
-
-
-#endif // ALLOW_SIMD_QUATERNION_MATH
-
-#endif // SSEQUATMATH_H
-
+//========= Copyright Valve Corporation, All rights reserved. ============//
+//
+// Purpose: - defines SIMD "structure of arrays" classes and functions.
+//
+//===========================================================================//
+#ifndef SSEQUATMATH_H
+#define SSEQUATMATH_H
+
+#ifdef _WIN32
+#pragma once
+#endif
+
+
+#include "mathlib/ssemath.h"
+
+// Use this #define to allow SSE versions of Quaternion math
+// to exist on PC.
+// On PC, certain horizontal vector operations are not supported.
+// This causes the SSE implementation of quaternion math to mix the
+// vector and scalar floating point units, which is extremely
+// performance negative if you don't compile to native SSE2 (which
+// we don't as of Sept 1, 2007). So, it's best not to allow these
+// functions to exist at all. It's not good enough to simply replace
+// the contents of the functions with scalar math, because each call
+// to LoadAligned and StoreAligned will result in an unnecssary copy
+// of the quaternion, and several moves to and from the XMM registers.
+//
+// Basically, the problem you run into is that for efficient SIMD code,
+// you need to load the quaternions and vectors into SIMD registers and
+// keep them there as long as possible while doing only SIMD math,
+// whereas for efficient scalar code, each time you copy onto or ever
+// use a fltx4, it hoses your pipeline. So the difference has to be
+// in the management of temporary variables in the calling function,
+// not inside the math functions.
+//
+// If you compile assuming the presence of SSE2, the MSVC will abandon
+// the traditional x87 FPU operations altogether and make everything use
+// the SSE2 registers, which lessens this problem a little.
+
+// permitted only on 360, as we've done careful tuning on its Altivec math:
+#ifdef _X360
+#define ALLOW_SIMD_QUATERNION_MATH 1 // not on PC!
+#endif
+
+
+
+//---------------------------------------------------------------------
+// Load/store quaternions
+//---------------------------------------------------------------------
+#ifndef _X360
+#if ALLOW_SIMD_QUATERNION_MATH
+// Using STDC or SSE
+FORCEINLINE fltx4 LoadAlignedSIMD( const QuaternionAligned & pSIMD )
+{
+ fltx4 retval = LoadAlignedSIMD( pSIMD.Base() );
+ return retval;
+}
+
+FORCEINLINE fltx4 LoadAlignedSIMD( const QuaternionAligned * RESTRICT pSIMD )
+{
+ fltx4 retval = LoadAlignedSIMD( pSIMD );
+ return retval;
+}
+
+FORCEINLINE void StoreAlignedSIMD( QuaternionAligned * RESTRICT pSIMD, const fltx4 & a )
+{
+ StoreAlignedSIMD( pSIMD->Base(), a );
+}
+#endif
+#else
+
+// for the transitional class -- load a QuaternionAligned
+FORCEINLINE fltx4 LoadAlignedSIMD( const QuaternionAligned & pSIMD )
+{
+ fltx4 retval = XMLoadVector4A( pSIMD.Base() );
+ return retval;
+}
+
+FORCEINLINE fltx4 LoadAlignedSIMD( const QuaternionAligned * RESTRICT pSIMD )
+{
+ fltx4 retval = XMLoadVector4A( pSIMD );
+ return retval;
+}
+
+FORCEINLINE void StoreAlignedSIMD( QuaternionAligned * RESTRICT pSIMD, const fltx4 & a )
+{
+ XMStoreVector4A( pSIMD->Base(), a );
+}
+
+#endif
+
+
+#if ALLOW_SIMD_QUATERNION_MATH
+//---------------------------------------------------------------------
+// Make sure quaternions are within 180 degrees of one another, if not, reverse q
+//---------------------------------------------------------------------
+FORCEINLINE fltx4 QuaternionAlignSIMD( const fltx4 &p, const fltx4 &q )
+{
+ // decide if one of the quaternions is backwards
+ fltx4 a = SubSIMD( p, q );
+ fltx4 b = AddSIMD( p, q );
+ a = Dot4SIMD( a, a );
+ b = Dot4SIMD( b, b );
+ fltx4 cmp = CmpGtSIMD( a, b );
+ fltx4 result = MaskedAssign( cmp, NegSIMD(q), q );
+ return result;
+}
+
+//---------------------------------------------------------------------
+// Normalize Quaternion
+//---------------------------------------------------------------------
+#if USE_STDC_FOR_SIMD
+
+FORCEINLINE fltx4 QuaternionNormalizeSIMD( const fltx4 &q )
+{
+ fltx4 radius, result;
+ radius = Dot4SIMD( q, q );
+
+ if ( SubFloat( radius, 0 ) ) // > FLT_EPSILON && ((radius < 1.0f - 4*FLT_EPSILON) || (radius > 1.0f + 4*FLT_EPSILON))
+ {
+ float iradius = 1.0f / sqrt( SubFloat( radius, 0 ) );
+ result = ReplicateX4( iradius );
+ result = MulSIMD( result, q );
+ return result;
+ }
+ return q;
+}
+
+#else
+
+// SSE + X360 implementation
+FORCEINLINE fltx4 QuaternionNormalizeSIMD( const fltx4 &q )
+{
+ fltx4 radius, result, mask;
+ radius = Dot4SIMD( q, q );
+ mask = CmpEqSIMD( radius, Four_Zeros ); // all ones iff radius = 0
+ result = ReciprocalSqrtSIMD( radius );
+ result = MulSIMD( result, q );
+ return MaskedAssign( mask, q, result ); // if radius was 0, just return q
+}
+
+#endif
+
+
+//---------------------------------------------------------------------
+// 0.0 returns p, 1.0 return q.
+//---------------------------------------------------------------------
+FORCEINLINE fltx4 QuaternionBlendNoAlignSIMD( const fltx4 &p, const fltx4 &q, float t )
+{
+ fltx4 sclp, sclq, result;
+ sclq = ReplicateX4( t );
+ sclp = SubSIMD( Four_Ones, sclq );
+ result = MulSIMD( sclp, p );
+ result = MaddSIMD( sclq, q, result );
+ return QuaternionNormalizeSIMD( result );
+}
+
+
+//---------------------------------------------------------------------
+// Blend Quaternions
+//---------------------------------------------------------------------
+FORCEINLINE fltx4 QuaternionBlendSIMD( const fltx4 &p, const fltx4 &q, float t )
+{
+ // decide if one of the quaternions is backwards
+ fltx4 q2, result;
+ q2 = QuaternionAlignSIMD( p, q );
+ result = QuaternionBlendNoAlignSIMD( p, q2, t );
+ return result;
+}
+
+
+//---------------------------------------------------------------------
+// Multiply Quaternions
+//---------------------------------------------------------------------
+#ifndef _X360
+
+// SSE and STDC
+FORCEINLINE fltx4 QuaternionMultSIMD( const fltx4 &p, const fltx4 &q )
+{
+ // decide if one of the quaternions is backwards
+ fltx4 q2, result;
+ q2 = QuaternionAlignSIMD( p, q );
+ SubFloat( result, 0 ) = SubFloat( p, 0 ) * SubFloat( q2, 3 ) + SubFloat( p, 1 ) * SubFloat( q2, 2 ) - SubFloat( p, 2 ) * SubFloat( q2, 1 ) + SubFloat( p, 3 ) * SubFloat( q2, 0 );
+ SubFloat( result, 1 ) = -SubFloat( p, 0 ) * SubFloat( q2, 2 ) + SubFloat( p, 1 ) * SubFloat( q2, 3 ) + SubFloat( p, 2 ) * SubFloat( q2, 0 ) + SubFloat( p, 3 ) * SubFloat( q2, 1 );
+ SubFloat( result, 2 ) = SubFloat( p, 0 ) * SubFloat( q2, 1 ) - SubFloat( p, 1 ) * SubFloat( q2, 0 ) + SubFloat( p, 2 ) * SubFloat( q2, 3 ) + SubFloat( p, 3 ) * SubFloat( q2, 2 );
+ SubFloat( result, 3 ) = -SubFloat( p, 0 ) * SubFloat( q2, 0 ) - SubFloat( p, 1 ) * SubFloat( q2, 1 ) - SubFloat( p, 2 ) * SubFloat( q2, 2 ) + SubFloat( p, 3 ) * SubFloat( q2, 3 );
+ return result;
+}
+
+#else
+
+// X360
+extern const fltx4 g_QuatMultRowSign[4];
+FORCEINLINE fltx4 QuaternionMultSIMD( const fltx4 &p, const fltx4 &q )
+{
+ fltx4 q2, row, result;
+ q2 = QuaternionAlignSIMD( p, q );
+
+ row = XMVectorSwizzle( q2, 3, 2, 1, 0 );
+ row = MulSIMD( row, g_QuatMultRowSign[0] );
+ result = Dot4SIMD( row, p );
+
+ row = XMVectorSwizzle( q2, 2, 3, 0, 1 );
+ row = MulSIMD( row, g_QuatMultRowSign[1] );
+ row = Dot4SIMD( row, p );
+ result = __vrlimi( result, row, 4, 0 );
+
+ row = XMVectorSwizzle( q2, 1, 0, 3, 2 );
+ row = MulSIMD( row, g_QuatMultRowSign[2] );
+ row = Dot4SIMD( row, p );
+ result = __vrlimi( result, row, 2, 0 );
+
+ row = MulSIMD( q2, g_QuatMultRowSign[3] );
+ row = Dot4SIMD( row, p );
+ result = __vrlimi( result, row, 1, 0 );
+ return result;
+}
+
+#endif
+
+
+//---------------------------------------------------------------------
+// Quaternion scale
+//---------------------------------------------------------------------
+#ifndef _X360
+
+// SSE and STDC
+FORCEINLINE fltx4 QuaternionScaleSIMD( const fltx4 &p, float t )
+{
+ float r;
+ fltx4 q;
+
+ // FIXME: nick, this isn't overly sensitive to accuracy, and it may be faster to
+ // use the cos part (w) of the quaternion (sin(omega)*N,cos(omega)) to figure the new scale.
+ float sinom = sqrt( SubFloat( p, 0 ) * SubFloat( p, 0 ) + SubFloat( p, 1 ) * SubFloat( p, 1 ) + SubFloat( p, 2 ) * SubFloat( p, 2 ) );
+ sinom = min( sinom, 1.f );
+
+ float sinsom = sin( asin( sinom ) * t );
+
+ t = sinsom / (sinom + FLT_EPSILON);
+ SubFloat( q, 0 ) = t * SubFloat( p, 0 );
+ SubFloat( q, 1 ) = t * SubFloat( p, 1 );
+ SubFloat( q, 2 ) = t * SubFloat( p, 2 );
+
+ // rescale rotation
+ r = 1.0f - sinsom * sinsom;
+
+ // Assert( r >= 0 );
+ if (r < 0.0f)
+ r = 0.0f;
+ r = sqrt( r );
+
+ // keep sign of rotation
+ SubFloat( q, 3 ) = fsel( SubFloat( p, 3 ), r, -r );
+ return q;
+}
+
+#else
+
+// X360
+FORCEINLINE fltx4 QuaternionScaleSIMD( const fltx4 &p, float t )
+{
+ fltx4 sinom = Dot3SIMD( p, p );
+ sinom = SqrtSIMD( sinom );
+ sinom = MinSIMD( sinom, Four_Ones );
+ fltx4 sinsom = ArcSinSIMD( sinom );
+ fltx4 t4 = ReplicateX4( t );
+ sinsom = MulSIMD( sinsom, t4 );
+ sinsom = SinSIMD( sinsom );
+ sinom = AddSIMD( sinom, Four_Epsilons );
+ sinom = ReciprocalSIMD( sinom );
+ t4 = MulSIMD( sinsom, sinom );
+ fltx4 result = MulSIMD( p, t4 );
+
+ // rescale rotation
+ sinsom = MulSIMD( sinsom, sinsom );
+ fltx4 r = SubSIMD( Four_Ones, sinsom );
+ r = MaxSIMD( r, Four_Zeros );
+ r = SqrtSIMD( r );
+
+ // keep sign of rotation
+ fltx4 cmp = CmpGeSIMD( p, Four_Zeros );
+ r = MaskedAssign( cmp, r, NegSIMD( r ) );
+
+ result = __vrlimi(result, r, 1, 0);
+ return result;
+}
+
+#endif
+
+
+//-----------------------------------------------------------------------------
+// Quaternion sphereical linear interpolation
+//-----------------------------------------------------------------------------
+#ifndef _X360
+
+// SSE and STDC
+FORCEINLINE fltx4 QuaternionSlerpNoAlignSIMD( const fltx4 &p, const fltx4 &q, float t )
+{
+ float omega, cosom, sinom, sclp, sclq;
+
+ fltx4 result;
+
+ // 0.0 returns p, 1.0 return q.
+ cosom = SubFloat( p, 0 ) * SubFloat( q, 0 ) + SubFloat( p, 1 ) * SubFloat( q, 1 ) +
+ SubFloat( p, 2 ) * SubFloat( q, 2 ) + SubFloat( p, 3 ) * SubFloat( q, 3 );
+
+ if ( (1.0f + cosom ) > 0.000001f )
+ {
+ if ( (1.0f - cosom ) > 0.000001f )
+ {
+ omega = acos( cosom );
+ sinom = sin( omega );
+ sclp = sin( (1.0f - t)*omega) / sinom;
+ sclq = sin( t*omega ) / sinom;
+ }
+ else
+ {
+ // TODO: add short circuit for cosom == 1.0f?
+ sclp = 1.0f - t;
+ sclq = t;
+ }
+ SubFloat( result, 0 ) = sclp * SubFloat( p, 0 ) + sclq * SubFloat( q, 0 );
+ SubFloat( result, 1 ) = sclp * SubFloat( p, 1 ) + sclq * SubFloat( q, 1 );
+ SubFloat( result, 2 ) = sclp * SubFloat( p, 2 ) + sclq * SubFloat( q, 2 );
+ SubFloat( result, 3 ) = sclp * SubFloat( p, 3 ) + sclq * SubFloat( q, 3 );
+ }
+ else
+ {
+ SubFloat( result, 0 ) = -SubFloat( q, 1 );
+ SubFloat( result, 1 ) = SubFloat( q, 0 );
+ SubFloat( result, 2 ) = -SubFloat( q, 3 );
+ SubFloat( result, 3 ) = SubFloat( q, 2 );
+ sclp = sin( (1.0f - t) * (0.5f * M_PI));
+ sclq = sin( t * (0.5f * M_PI));
+ SubFloat( result, 0 ) = sclp * SubFloat( p, 0 ) + sclq * SubFloat( result, 0 );
+ SubFloat( result, 1 ) = sclp * SubFloat( p, 1 ) + sclq * SubFloat( result, 1 );
+ SubFloat( result, 2 ) = sclp * SubFloat( p, 2 ) + sclq * SubFloat( result, 2 );
+ }
+
+ return result;
+}
+
+#else
+
+// X360
+FORCEINLINE fltx4 QuaternionSlerpNoAlignSIMD( const fltx4 &p, const fltx4 &q, float t )
+{
+ return XMQuaternionSlerp( p, q, t );
+}
+
+#endif
+
+
+FORCEINLINE fltx4 QuaternionSlerpSIMD( const fltx4 &p, const fltx4 &q, float t )
+{
+ fltx4 q2, result;
+ q2 = QuaternionAlignSIMD( p, q );
+ result = QuaternionSlerpNoAlignSIMD( p, q2, t );
+ return result;
+}
+
+
+#endif // ALLOW_SIMD_QUATERNION_MATH
+
+#endif // SSEQUATMATH_H
+