dhewm3-sdk/idlib/math/Simd_Generic.cpp

/*
===========================================================================

Doom 3 GPL Source Code
Copyright (C) 1999-2011 id Software LLC, a ZeniMax Media company.

This file is part of the Doom 3 GPL Source Code ("Doom 3 Source Code").

Doom 3 Source Code is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.

Doom 3 Source Code is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with Doom 3 Source Code.  If not, see <http://www.gnu.org/licenses/>.

In addition, the Doom 3 Source Code is also subject to certain additional terms. You should have received a copy of these additional terms immediately following the terms and conditions of the GNU General Public License which accompanied the Doom 3 Source Code.  If not, please request a copy in writing from id Software at the address below.

If you have questions concerning this license or the applicable additional terms, you may contact in writing id Software LLC, c/o ZeniMax Media Inc., Suite 120, Rockville, Maryland 20850 USA.

===========================================================================
*/

#include "sys/platform.h"
#include "idlib/geometry/DrawVert.h"
#include "idlib/geometry/JointTransform.h"
#include "idlib/math/Vector.h"
#include "idlib/math/Plane.h"
#include "idlib/math/Matrix.h"
#include "renderer/Model.h"

#include "idlib/math/Simd_Generic.h"

//===============================================================
//
//	Generic implementation of idSIMDProcessor
//
//===============================================================

#define UNROLL1(Y) { int _IX; for (_IX=0;_IX<count;_IX++) {Y(_IX);} }
#define UNROLL2(Y) { int _IX, _NM = count&0xfffffffe; for (_IX=0;_IX<_NM;_IX+=2){Y(_IX+0);Y(_IX+1);} if (_IX < count) {Y(_IX);}}
#define UNROLL4(Y) { int _IX, _NM = count&0xfffffffc; for (_IX=0;_IX<_NM;_IX+=4){Y(_IX+0);Y(_IX+1);Y(_IX+2);Y(_IX+3);}for(;_IX<count;_IX++){Y(_IX);}}
#define UNROLL8(Y) { int _IX, _NM = count&0xfffffff8; for (_IX=0;_IX<_NM;_IX+=8){Y(_IX+0);Y(_IX+1);Y(_IX+2);Y(_IX+3);Y(_IX+4);Y(_IX+5);Y(_IX+6);Y(_IX+7);} _NM = count&0xfffffffe; for(;_IX<_NM;_IX+=2){Y(_IX); Y(_IX+1);} if (_IX < count) {Y(_IX);} }

#ifdef _DEBUG
#define NODEFAULT	default: assert( 0 )
#elif _MSC_VER
#define NODEFAULT	default: __assume( 0 )
#else
#define NODEFAULT
#endif


/*
============
idSIMD_Generic::GetName
============
*/
const char * idSIMD_Generic::GetName( void ) const {
	return "generic code";
}

/*
============
idSIMD_Generic::Add

  dst[i] = constant + src[i];
============
*/
void VPCALL idSIMD_Generic::Add( float *dst, const float constant, const float *src, const int count ) {
#define OPER(X) dst[(X)] = src[(X)] + constant;
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Add

  dst[i] = src0[i] + src1[i];
============
*/
void VPCALL idSIMD_Generic::Add( float *dst, const float *src0, const float *src1, const int count ) {
#define OPER(X) dst[(X)] = src0[(X)] + src1[(X)];
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Sub

  dst[i] = constant - src[i];
============
*/
void VPCALL idSIMD_Generic::Sub( float *dst, const float constant, const float *src, const int count ) {
	double c = constant;
#define OPER(X) dst[(X)] = c - src[(X)];
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Sub

  dst[i] = src0[i] - src1[i];
============
*/
void VPCALL idSIMD_Generic::Sub( float *dst, const float *src0, const float *src1, const int count ) {
#define OPER(X) dst[(X)] = src0[(X)] - src1[(X)];
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Mul

  dst[i] = constant * src[i];
============
*/
void VPCALL idSIMD_Generic::Mul( float *dst, const float constant, const float *src0, const int count) {
	double c = constant;
#define OPER(X) (dst[(X)] = (c * src0[(X)]))
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Mul

  dst[i] = src0[i] * src1[i];
============
*/
void VPCALL idSIMD_Generic::Mul( float *dst, const float *src0, const float *src1, const int count ) {
#define OPER(X) (dst[(X)] = src0[(X)] * src1[(X)])
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Div

  dst[i] = constant / divisor[i];
============
*/
void VPCALL idSIMD_Generic::Div( float *dst, const float constant, const float *divisor, const int count ) {
	double c = constant;
#define OPER(X) (dst[(X)] = (c / divisor[(X)]))
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Div

  dst[i] = src0[i] / src1[i];
============
*/
void VPCALL idSIMD_Generic::Div( float *dst, const float *src0, const float *src1, const int count ) {
#define OPER(X) (dst[(X)] = src0[(X)] / src1[(X)])
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::MulAdd

  dst[i] += constant * src[i];
============
*/
void VPCALL idSIMD_Generic::MulAdd( float *dst, const float constant, const float *src, const int count ) {
	double c = constant;
#define OPER(X) (dst[(X)] += c * src[(X)])
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::MulAdd

  dst[i] += src0[i] * src1[i];
============
*/
void VPCALL idSIMD_Generic::MulAdd( float *dst, const float *src0, const float *src1, const int count ) {
#define OPER(X) (dst[(X)] += src0[(X)] * src1[(X)])
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::MulSub

  dst[i] -= constant * src[i];
============
*/
void VPCALL idSIMD_Generic::MulSub( float *dst, const float constant, const float *src, const int count ) {
	double c = constant;
#define OPER(X) (dst[(X)] -= c * src[(X)])
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::MulSub

  dst[i] -= src0[i] * src1[i];
============
*/
void VPCALL idSIMD_Generic::MulSub( float *dst, const float *src0, const float *src1, const int count ) {
#define OPER(X) (dst[(X)] -= src0[(X)] * src1[(X)])
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Dot

  dst[i] = constant * src[i];
============
*/
void VPCALL idSIMD_Generic::Dot( float *dst, const idVec3 &constant, const idVec3 *src, const int count ) {
#define OPER(X) dst[(X)] = constant * src[(X)];
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Dot

  dst[i] = constant * src[i].Normal() + src[i][3];
============
*/
void VPCALL idSIMD_Generic::Dot( float *dst, const idVec3 &constant, const idPlane *src, const int count ) {
#define OPER(X) dst[(X)] = constant * src[(X)].Normal() + src[(X)][3];
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Dot

  dst[i] = constant * src[i].xyz;
============
*/
void VPCALL idSIMD_Generic::Dot( float *dst, const idVec3 &constant, const idDrawVert *src, const int count ) {
#define OPER(X) dst[(X)] = constant * src[(X)].xyz;
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Dot

  dst[i] = constant.Normal() * src[i] + constant[3];
============
*/
void VPCALL idSIMD_Generic::Dot( float *dst, const idPlane &constant, const idVec3 *src, const int count ) {
#define OPER(X) dst[(X)] = constant.Normal() * src[(X)] + constant[3];
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Dot

  dst[i] = constant.Normal() * src[i].Normal() + constant[3] * src[i][3];
============
*/
void VPCALL idSIMD_Generic::Dot( float *dst, const idPlane &constant, const idPlane *src, const int count ) {
#define OPER(X) dst[(X)] = constant.Normal() * src[(X)].Normal() + constant[3] * src[(X)][3];
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Dot

  dst[i] = constant.Normal() * src[i].xyz + constant[3];
============
*/
void VPCALL idSIMD_Generic::Dot( float *dst, const idPlane &constant, const idDrawVert *src, const int count ) {
#define OPER(X) dst[(X)] = constant.Normal() * src[(X)].xyz + constant[3];
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Dot

  dst[i] = src0[i] * src1[i];
============
*/
void VPCALL idSIMD_Generic::Dot( float *dst, const idVec3 *src0, const idVec3 *src1, const int count ) {
#define OPER(X) dst[(X)] = src0[(X)] * src1[(X)];
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Dot

  dot = src1[0] * src2[0] + src1[1] * src2[1] + src1[2] * src2[2] + ...
============
*/
void VPCALL idSIMD_Generic::Dot( float &dot, const float *src1, const float *src2, const int count ) {
#if 1

	switch( count ) {
		case 0: {
			dot = 0.0f;
			return;
		}
		case 1: {
			dot = src1[0] * src2[0];
			return;
		}
		case 2: {
			dot = src1[0] * src2[0] + src1[1] * src2[1];
			return;
		}
		case 3: {
			dot = src1[0] * src2[0] + src1[1] * src2[1] + src1[2] * src2[2];
			return;
		}
		default: {
			int i;
			double s0, s1, s2, s3;
			s0 = src1[0] * src2[0];
			s1 = src1[1] * src2[1];
			s2 = src1[2] * src2[2];
			s3 = src1[3] * src2[3];
			for ( i = 4; i < count-7; i += 8 ) {
				s0 += src1[i+0] * src2[i+0];
				s1 += src1[i+1] * src2[i+1];
				s2 += src1[i+2] * src2[i+2];
				s3 += src1[i+3] * src2[i+3];
				s0 += src1[i+4] * src2[i+4];
				s1 += src1[i+5] * src2[i+5];
				s2 += src1[i+6] * src2[i+6];
				s3 += src1[i+7] * src2[i+7];
			}
			switch( count - i ) {
				NODEFAULT;
				case 7: s0 += src1[i+6] * src2[i+6];
				case 6: s1 += src1[i+5] * src2[i+5];
				case 5: s2 += src1[i+4] * src2[i+4];
				case 4: s3 += src1[i+3] * src2[i+3];
				case 3: s0 += src1[i+2] * src2[i+2];
				case 2: s1 += src1[i+1] * src2[i+1];
				case 1: s2 += src1[i+0] * src2[i+0];
				case 0: break;
			}
			double sum;
			sum = s3;
			sum += s2;
			sum += s1;
			sum += s0;
			dot = sum;
		}
	}

#else

	dot = 0.0f;
	for ( i = 0; i < count; i++ ) {
		dot += src1[i] * src2[i];
	}

#endif
}

/*
============
idSIMD_Generic::CmpGT

  dst[i] = src0[i] > constant;
============
*/
void VPCALL idSIMD_Generic::CmpGT( byte *dst, const float *src0, const float constant, const int count ) {
#define OPER(X) dst[(X)] = src0[(X)] > constant;
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::CmpGT

  dst[i] |= ( src0[i] > constant ) << bitNum;
============
*/
void VPCALL idSIMD_Generic::CmpGT( byte *dst, const byte bitNum, const float *src0, const float constant, const int count ) {
#define OPER(X) dst[(X)] |= ( src0[(X)] > constant ) << bitNum;
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::CmpGE

  dst[i] = src0[i] >= constant;
============
*/
void VPCALL idSIMD_Generic::CmpGE( byte *dst, const float *src0, const float constant, const int count ) {
#define OPER(X) dst[(X)] = src0[(X)] >= constant;
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::CmpGE

  dst[i] |= ( src0[i] >= constant ) << bitNum;
============
*/
void VPCALL idSIMD_Generic::CmpGE( byte *dst, const byte bitNum, const float *src0, const float constant, const int count ) {
#define OPER(X) dst[(X)] |= ( src0[(X)] >= constant ) << bitNum;
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::CmpLT

  dst[i] = src0[i] < constant;
============
*/
void VPCALL idSIMD_Generic::CmpLT( byte *dst, const float *src0, const float constant, const int count ) {
#define OPER(X) dst[(X)] = src0[(X)] < constant;
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::CmpLT

  dst[i] |= ( src0[i] < constant ) << bitNum;
============
*/
void VPCALL idSIMD_Generic::CmpLT( byte *dst, const byte bitNum, const float *src0, const float constant, const int count ) {
#define OPER(X) dst[(X)] |= ( src0[(X)] < constant ) << bitNum;
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::CmpLE

  dst[i] = src0[i] <= constant;
============
*/
void VPCALL idSIMD_Generic::CmpLE( byte *dst, const float *src0, const float constant, const int count ) {
#define OPER(X) dst[(X)] = src0[(X)] <= constant;
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::CmpLE

  dst[i] |= ( src0[i] <= constant ) << bitNum;
============
*/
void VPCALL idSIMD_Generic::CmpLE( byte *dst, const byte bitNum, const float *src0, const float constant, const int count ) {
#define OPER(X) dst[(X)] |= ( src0[(X)] <= constant ) << bitNum;
	UNROLL4(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::MinMax
============
*/
void VPCALL idSIMD_Generic::MinMax( float &min, float &max, const float *src, const int count ) {
	min = idMath::INFINITY; max = -idMath::INFINITY;
#define OPER(X) if ( src[(X)] < min ) {min = src[(X)];} if ( src[(X)] > max ) {max = src[(X)];}
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::MinMax
============
*/
void VPCALL idSIMD_Generic::MinMax( idVec2 &min, idVec2 &max, const idVec2 *src, const int count ) {
	min[0] = min[1] = idMath::INFINITY; max[0] = max[1] = -idMath::INFINITY;
#define OPER(X) const idVec2 &v = src[(X)]; if ( v[0] < min[0] ) { min[0] = v[0]; } if ( v[0] > max[0] ) { max[0] = v[0]; } if ( v[1] < min[1] ) { min[1] = v[1]; } if ( v[1] > max[1] ) { max[1] = v[1]; }
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::MinMax
============
*/
void VPCALL idSIMD_Generic::MinMax( idVec3 &min, idVec3 &max, const idVec3 *src, const int count ) {
	min[0] = min[1] = min[2] = idMath::INFINITY; max[0] = max[1] = max[2] = -idMath::INFINITY;
#define OPER(X) const idVec3 &v = src[(X)]; if ( v[0] < min[0] ) { min[0] = v[0]; } if ( v[0] > max[0] ) { max[0] = v[0]; } if ( v[1] < min[1] ) { min[1] = v[1]; } if ( v[1] > max[1] ) { max[1] = v[1]; } if ( v[2] < min[2] ) { min[2] = v[2]; } if ( v[2] > max[2] ) { max[2] = v[2]; }
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::MinMax
============
*/
void VPCALL idSIMD_Generic::MinMax( idVec3 &min, idVec3 &max, const idDrawVert *src, const int count ) {
	min[0] = min[1] = min[2] = idMath::INFINITY; max[0] = max[1] = max[2] = -idMath::INFINITY;
#define OPER(X) const idVec3 &v = src[(X)].xyz; if ( v[0] < min[0] ) { min[0] = v[0]; } if ( v[0] > max[0] ) { max[0] = v[0]; } if ( v[1] < min[1] ) { min[1] = v[1]; } if ( v[1] > max[1] ) { max[1] = v[1]; } if ( v[2] < min[2] ) { min[2] = v[2]; } if ( v[2] > max[2] ) { max[2] = v[2]; }
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::MinMax
============
*/
void VPCALL idSIMD_Generic::MinMax( idVec3 &min, idVec3 &max, const idDrawVert *src, const int *indexes, const int count ) {
	min[0] = min[1] = min[2] = idMath::INFINITY; max[0] = max[1] = max[2] = -idMath::INFINITY;
#define OPER(X) const idVec3 &v = src[indexes[(X)]].xyz; if ( v[0] < min[0] ) { min[0] = v[0]; } if ( v[0] > max[0] ) { max[0] = v[0]; } if ( v[1] < min[1] ) { min[1] = v[1]; } if ( v[1] > max[1] ) { max[1] = v[1]; } if ( v[2] < min[2] ) { min[2] = v[2]; } if ( v[2] > max[2] ) { max[2] = v[2]; }
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Clamp
============
*/
void VPCALL idSIMD_Generic::Clamp( float *dst, const float *src, const float min, const float max, const int count ) {
#define OPER(X) dst[(X)] = src[(X)] < min ? min : src[(X)] > max ? max : src[(X)];
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::ClampMin
============
*/
void VPCALL idSIMD_Generic::ClampMin( float *dst, const float *src, const float min, const int count ) {
#define OPER(X) dst[(X)] = src[(X)] < min ? min : src[(X)];
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::ClampMax
============
*/
void VPCALL idSIMD_Generic::ClampMax( float *dst, const float *src, const float max, const int count ) {
#define OPER(X) dst[(X)] = src[(X)] > max ? max : src[(X)];
	UNROLL1(OPER)
#undef OPER
}

/*
================
idSIMD_Generic::Memcpy
================
*/
void VPCALL idSIMD_Generic::Memcpy( void *dst, const void *src, const int count ) {
	memcpy( dst, src, count );
}

/*
================
idSIMD_Generic::Memset
================
*/
void VPCALL idSIMD_Generic::Memset( void *dst, const int val, const int count ) {
	memset( dst, val, count );
}

/*
============
idSIMD_Generic::Zero16
============
*/
void VPCALL idSIMD_Generic::Zero16( float *dst, const int count ) {
	memset( dst, 0, count * sizeof( float ) );
}

/*
============
idSIMD_Generic::Negate16
============
*/
void VPCALL idSIMD_Generic::Negate16( float *dst, const int count ) {
	unsigned int *ptr = reinterpret_cast<unsigned int *>(dst);
#define OPER(X) ptr[(X)] ^= ( 1 << 31 )		// IEEE 32 bits float sign bit
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Copy16
============
*/
void VPCALL idSIMD_Generic::Copy16( float *dst, const float *src, const int count ) {
#define OPER(X) dst[(X)] = src[(X)]
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Add16
============
*/
void VPCALL idSIMD_Generic::Add16( float *dst, const float *src1, const float *src2, const int count ) {
#define OPER(X) dst[(X)] = src1[(X)] + src2[(X)]
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Sub16
============
*/
void VPCALL idSIMD_Generic::Sub16( float *dst, const float *src1, const float *src2, const int count ) {
#define OPER(X) dst[(X)] = src1[(X)] - src2[(X)]
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::Mul16
============
*/
void VPCALL idSIMD_Generic::Mul16( float *dst, const float *src1, const float constant, const int count ) {
#define OPER(X) dst[(X)] = src1[(X)] * constant
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::AddAssign16
============
*/
void VPCALL idSIMD_Generic::AddAssign16( float *dst, const float *src, const int count ) {
#define OPER(X) dst[(X)] += src[(X)]
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::SubAssign16
============
*/
void VPCALL idSIMD_Generic::SubAssign16( float *dst, const float *src, const int count ) {
#define OPER(X) dst[(X)] -= src[(X)]
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::MulAssign16
============
*/
void VPCALL idSIMD_Generic::MulAssign16( float *dst, const float constant, const int count ) {
#define OPER(X) dst[(X)] *= constant
	UNROLL1(OPER)
#undef OPER
}

/*
============
idSIMD_Generic::MatX_MultiplyVecX
============
*/
void VPCALL idSIMD_Generic::MatX_MultiplyVecX( idVecX &dst, const idMatX &mat, const idVecX &vec ) {
	int i, j, numRows;
	const float *mPtr, *vPtr;
	float *dstPtr;

	assert( vec.GetSize() >= mat.GetNumColumns() );
	assert( dst.GetSize() >= mat.GetNumRows() );

	mPtr = mat.ToFloatPtr();
	vPtr = vec.ToFloatPtr();
	dstPtr = dst.ToFloatPtr();
	numRows = mat.GetNumRows();
	switch( mat.GetNumColumns() ) {
		case 1:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] = mPtr[0] * vPtr[0];
				mPtr++;
			}
			break;
		case 2:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] = mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1];
				mPtr += 2;
			}
			break;
		case 3:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] = mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1] + mPtr[2] * vPtr[2];
				mPtr += 3;
			}
			break;
		case 4:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] = mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1] + mPtr[2] * vPtr[2] +
							mPtr[3] * vPtr[3];
				mPtr += 4;
			}
			break;
		case 5:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] = mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1] + mPtr[2] * vPtr[2] +
							mPtr[3] * vPtr[3] + mPtr[4] * vPtr[4];
				mPtr += 5;
			}
			break;
		case 6:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] = mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1] + mPtr[2] * vPtr[2] +
							mPtr[3] * vPtr[3] + mPtr[4] * vPtr[4] + mPtr[5] * vPtr[5];
				mPtr += 6;
			}
			break;
		default:
			int numColumns = mat.GetNumColumns();
			for ( i = 0; i < numRows; i++ ) {
				float sum = mPtr[0] * vPtr[0];
				for ( j = 1; j < numColumns; j++ ) {
					sum += mPtr[j] * vPtr[j];
				}
				dstPtr[i] = sum;
				mPtr += numColumns;
			}
			break;
	}
}

/*
============
idSIMD_Generic::MatX_MultiplyAddVecX
============
*/
void VPCALL idSIMD_Generic::MatX_MultiplyAddVecX( idVecX &dst, const idMatX &mat, const idVecX &vec ) {
	int i, j, numRows;
	const float *mPtr, *vPtr;
	float *dstPtr;

	assert( vec.GetSize() >= mat.GetNumColumns() );
	assert( dst.GetSize() >= mat.GetNumRows() );

	mPtr = mat.ToFloatPtr();
	vPtr = vec.ToFloatPtr();
	dstPtr = dst.ToFloatPtr();
	numRows = mat.GetNumRows();
	switch( mat.GetNumColumns() ) {
		case 1:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] += mPtr[0] * vPtr[0];
				mPtr++;
			}
			break;
		case 2:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] += mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1];
				mPtr += 2;
			}
			break;
		case 3:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] += mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1] + mPtr[2] * vPtr[2];
				mPtr += 3;
			}
			break;
		case 4:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] += mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1] + mPtr[2] * vPtr[2] +
							mPtr[3] * vPtr[3];
				mPtr += 4;
			}
			break;
		case 5:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] += mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1] + mPtr[2] * vPtr[2] +
							mPtr[3] * vPtr[3] + mPtr[4] * vPtr[4];
				mPtr += 5;
			}
			break;
		case 6:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] += mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1] + mPtr[2] * vPtr[2] +
							mPtr[3] * vPtr[3] + mPtr[4] * vPtr[4] + mPtr[5] * vPtr[5];
				mPtr += 6;
			}
			break;
		default:
			int numColumns = mat.GetNumColumns();
			for ( i = 0; i < numRows; i++ ) {
				float sum = mPtr[0] * vPtr[0];
				for ( j = 1; j < numColumns; j++ ) {
					sum += mPtr[j] * vPtr[j];
				}
				dstPtr[i] += sum;
				mPtr += numColumns;
			}
			break;
	}
}

/*
============
idSIMD_Generic::MatX_MultiplySubVecX
============
*/
void VPCALL idSIMD_Generic::MatX_MultiplySubVecX( idVecX &dst, const idMatX &mat, const idVecX &vec ) {
	int i, j, numRows;
	const float *mPtr, *vPtr;
	float *dstPtr;

	assert( vec.GetSize() >= mat.GetNumColumns() );
	assert( dst.GetSize() >= mat.GetNumRows() );

	mPtr = mat.ToFloatPtr();
	vPtr = vec.ToFloatPtr();
	dstPtr = dst.ToFloatPtr();
	numRows = mat.GetNumRows();
	switch( mat.GetNumColumns() ) {
		case 1:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] -= mPtr[0] * vPtr[0];
				mPtr++;
			}
			break;
		case 2:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] -= mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1];
				mPtr += 2;
			}
			break;
		case 3:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] -= mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1] + mPtr[2] * vPtr[2];
				mPtr += 3;
			}
			break;
		case 4:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] -= mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1] + mPtr[2] * vPtr[2] +
							mPtr[3] * vPtr[3];
				mPtr += 4;
			}
			break;
		case 5:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] -= mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1] + mPtr[2] * vPtr[2] +
							mPtr[3] * vPtr[3] + mPtr[4] * vPtr[4];
				mPtr += 5;
			}
			break;
		case 6:
			for ( i = 0; i < numRows; i++ ) {
				dstPtr[i] -= mPtr[0] * vPtr[0] + mPtr[1] * vPtr[1] + mPtr[2] * vPtr[2] +
							mPtr[3] * vPtr[3] + mPtr[4] * vPtr[4] + mPtr[5] * vPtr[5];
				mPtr += 6;
			}
			break;
		default:
			int numColumns = mat.GetNumColumns();
			for ( i = 0; i < numRows; i++ ) {
				float sum = mPtr[0] * vPtr[0];
				for ( j = 1; j < numColumns; j++ ) {
					sum += mPtr[j] * vPtr[j];
				}
				dstPtr[i] -= sum;
				mPtr += numColumns;
			}
			break;
	}
}

/*
============
idSIMD_Generic::MatX_TransposeMultiplyVecX
============
*/
void VPCALL idSIMD_Generic::MatX_TransposeMultiplyVecX( idVecX &dst, const idMatX &mat, const idVecX &vec ) {
	int i, j, numColumns;
	const float *mPtr, *vPtr;
	float *dstPtr;

	assert( vec.GetSize() >= mat.GetNumRows() );
	assert( dst.GetSize() >= mat.GetNumColumns() );

	mPtr = mat.ToFloatPtr();
	vPtr = vec.ToFloatPtr();
	dstPtr = dst.ToFloatPtr();
	numColumns = mat.GetNumColumns();
	switch( mat.GetNumRows() ) {
		case 1:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] = *(mPtr) * vPtr[0];
				mPtr++;
			}
			break;
		case 2:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] = *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1];
				mPtr++;
			}
			break;
		case 3:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] = *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1] + *(mPtr+2*numColumns) * vPtr[2];
				mPtr++;
			}
			break;
		case 4:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] = *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1] + *(mPtr+2*numColumns) * vPtr[2] +
						*(mPtr+3*numColumns) * vPtr[3];
				mPtr++;
			}
			break;
		case 5:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] = *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1] + *(mPtr+2*numColumns) * vPtr[2] +
						*(mPtr+3*numColumns) * vPtr[3] + *(mPtr+4*numColumns) * vPtr[4];
				mPtr++;
			}
			break;
		case 6:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] = *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1] + *(mPtr+2*numColumns) * vPtr[2] +
						*(mPtr+3*numColumns) * vPtr[3] + *(mPtr+4*numColumns) * vPtr[4] + *(mPtr+5*numColumns) * vPtr[5];
				mPtr++;
			}
			break;
		default:
			int numRows = mat.GetNumRows();
			for ( i = 0; i < numColumns; i++ ) {
				mPtr = mat.ToFloatPtr() + i;
				float sum = mPtr[0] * vPtr[0];
				for ( j = 1; j < numRows; j++ ) {
					mPtr += numColumns;
					sum += mPtr[0] * vPtr[j];
				}
				dstPtr[i] = sum;
			}
			break;
	}
}

/*
============
idSIMD_Generic::MatX_TransposeMultiplyAddVecX
============
*/
void VPCALL idSIMD_Generic::MatX_TransposeMultiplyAddVecX( idVecX &dst, const idMatX &mat, const idVecX &vec ) {
	int i, j, numColumns;
	const float *mPtr, *vPtr;
	float *dstPtr;

	assert( vec.GetSize() >= mat.GetNumRows() );
	assert( dst.GetSize() >= mat.GetNumColumns() );

	mPtr = mat.ToFloatPtr();
	vPtr = vec.ToFloatPtr();
	dstPtr = dst.ToFloatPtr();
	numColumns = mat.GetNumColumns();
	switch( mat.GetNumRows() ) {
		case 1:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] += *(mPtr) * vPtr[0];
				mPtr++;
			}
			break;
		case 2:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] += *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1];
				mPtr++;
			}
			break;
		case 3:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] += *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1] + *(mPtr+2*numColumns) * vPtr[2];
				mPtr++;
			}
			break;
		case 4:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] += *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1] + *(mPtr+2*numColumns) * vPtr[2] +
						*(mPtr+3*numColumns) * vPtr[3];
				mPtr++;
			}
			break;
		case 5:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] += *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1] + *(mPtr+2*numColumns) * vPtr[2] +
						*(mPtr+3*numColumns) * vPtr[3] + *(mPtr+4*numColumns) * vPtr[4];
				mPtr++;
			}
			break;
		case 6:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] += *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1] + *(mPtr+2*numColumns) * vPtr[2] +
						*(mPtr+3*numColumns) * vPtr[3] + *(mPtr+4*numColumns) * vPtr[4] + *(mPtr+5*numColumns) * vPtr[5];
				mPtr++;
			}
			break;
		default:
			int numRows = mat.GetNumRows();
			for ( i = 0; i < numColumns; i++ ) {
				mPtr = mat.ToFloatPtr() + i;
				float sum = mPtr[0] * vPtr[0];
				for ( j = 1; j < numRows; j++ ) {
					mPtr += numColumns;
					sum += mPtr[0] * vPtr[j];
				}
				dstPtr[i] += sum;
			}
			break;
	}
}

/*
============
idSIMD_Generic::MatX_TransposeMultiplySubVecX
============
*/
void VPCALL idSIMD_Generic::MatX_TransposeMultiplySubVecX( idVecX &dst, const idMatX &mat, const idVecX &vec ) {
	int i, numColumns;
	const float *mPtr, *vPtr;
	float *dstPtr;

	assert( vec.GetSize() >= mat.GetNumRows() );
	assert( dst.GetSize() >= mat.GetNumColumns() );

	mPtr = mat.ToFloatPtr();
	vPtr = vec.ToFloatPtr();
	dstPtr = dst.ToFloatPtr();
	numColumns = mat.GetNumColumns();
	switch( mat.GetNumRows() ) {
		case 1:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] -= *(mPtr) * vPtr[0];
				mPtr++;
			}
			break;
		case 2:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] -= *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1];
				mPtr++;
			}
			break;
		case 3:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] -= *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1] + *(mPtr+2*numColumns) * vPtr[2];
				mPtr++;
			}
			break;
		case 4:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] -= *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1] + *(mPtr+2*numColumns) * vPtr[2] +
						*(mPtr+3*numColumns) * vPtr[3];
				mPtr++;
			}
			break;
		case 5:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] -= *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1] + *(mPtr+2*numColumns) * vPtr[2] +
						*(mPtr+3*numColumns) * vPtr[3] + *(mPtr+4*numColumns) * vPtr[4];
				mPtr++;
			}
			break;
		case 6:
			for ( i = 0; i < numColumns; i++ ) {
				dstPtr[i] -= *(mPtr) * vPtr[0] + *(mPtr+numColumns) * vPtr[1] + *(mPtr+2*numColumns) * vPtr[2] +
						*(mPtr+3*numColumns) * vPtr[3] + *(mPtr+4*numColumns) * vPtr[4] + *(mPtr+5*numColumns) * vPtr[5];
				mPtr++;
			}
			break;
		default:
			int numRows = mat.GetNumRows();
			for ( i = 0; i < numColumns; i++ ) {
				mPtr = mat.ToFloatPtr() + i;
				float sum = mPtr[0] * vPtr[0];
				for ( int j = 1; j < numRows; j++ ) {
					mPtr += numColumns;
					sum += mPtr[0] * vPtr[j];
				}
				dstPtr[i] -= sum;
			}
			break;
	}
}

/*
============
idSIMD_Generic::MatX_MultiplyMatX

	optimizes the following matrix multiplications:

	NxN * Nx6
	6xN * Nx6
	Nx6 * 6xN
	6x6 * 6xN

	with N in the range [1-6].
============
*/
void VPCALL idSIMD_Generic::MatX_MultiplyMatX( idMatX &dst, const idMatX &m1, const idMatX &m2 ) {
	int i, j, k, l, n;
	float *dstPtr;
	const float *m1Ptr, *m2Ptr;
	double sum;

	assert( m1.GetNumColumns() == m2.GetNumRows() );

	dstPtr = dst.ToFloatPtr();
	m1Ptr = m1.ToFloatPtr();
	m2Ptr = m2.ToFloatPtr();
	k = m1.GetNumRows();
	l = m2.GetNumColumns();

	switch( m1.GetNumColumns() ) {
		case 1: {
			if ( l == 6 ) {
				for ( i = 0; i < k; i++ ) {		// Nx1 * 1x6
					*dstPtr++ = m1Ptr[i] * m2Ptr[0];
					*dstPtr++ = m1Ptr[i] * m2Ptr[1];
					*dstPtr++ = m1Ptr[i] * m2Ptr[2];
					*dstPtr++ = m1Ptr[i] * m2Ptr[3];
					*dstPtr++ = m1Ptr[i] * m2Ptr[4];
					*dstPtr++ = m1Ptr[i] * m2Ptr[5];
				}
				return;
			}
			for ( i = 0; i < k; i++ ) {
				m2Ptr = m2.ToFloatPtr();
				for ( j = 0; j < l; j++ ) {
					*dstPtr++ = m1Ptr[0] * m2Ptr[0];
					m2Ptr++;
				}
				m1Ptr++;
			}
			break;
		}
		case 2: {
			if ( l == 6 ) {
				for ( i = 0; i < k; i++ ) {		// Nx2 * 2x6
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[1] * m2Ptr[6];
					*dstPtr++ = m1Ptr[0] * m2Ptr[1] + m1Ptr[1] * m2Ptr[7];
					*dstPtr++ = m1Ptr[0] * m2Ptr[2] + m1Ptr[1] * m2Ptr[8];
					*dstPtr++ = m1Ptr[0] * m2Ptr[3] + m1Ptr[1] * m2Ptr[9];
					*dstPtr++ = m1Ptr[0] * m2Ptr[4] + m1Ptr[1] * m2Ptr[10];
					*dstPtr++ = m1Ptr[0] * m2Ptr[5] + m1Ptr[1] * m2Ptr[11];
					m1Ptr += 2;
				}
				return;
			}
			for ( i = 0; i < k; i++ ) {
				m2Ptr = m2.ToFloatPtr();
				for ( j = 0; j < l; j++ ) {
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[1] * m2Ptr[l];
					m2Ptr++;
				}
				m1Ptr += 2;
			}
			break;
		}
		case 3: {
			if ( l == 6 ) {
				for ( i = 0; i < k; i++ ) {		// Nx3 * 3x6
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[1] * m2Ptr[6] + m1Ptr[2] * m2Ptr[12];
					*dstPtr++ = m1Ptr[0] * m2Ptr[1] + m1Ptr[1] * m2Ptr[7] + m1Ptr[2] * m2Ptr[13];
					*dstPtr++ = m1Ptr[0] * m2Ptr[2] + m1Ptr[1] * m2Ptr[8] + m1Ptr[2] * m2Ptr[14];
					*dstPtr++ = m1Ptr[0] * m2Ptr[3] + m1Ptr[1] * m2Ptr[9] + m1Ptr[2] * m2Ptr[15];
					*dstPtr++ = m1Ptr[0] * m2Ptr[4] + m1Ptr[1] * m2Ptr[10] + m1Ptr[2] * m2Ptr[16];
					*dstPtr++ = m1Ptr[0] * m2Ptr[5] + m1Ptr[1] * m2Ptr[11] + m1Ptr[2] * m2Ptr[17];
					m1Ptr += 3;
				}
				return;
			}
			for ( i = 0; i < k; i++ ) {
				m2Ptr = m2.ToFloatPtr();
				for ( j = 0; j < l; j++ ) {
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[1] * m2Ptr[l] + m1Ptr[2] * m2Ptr[2*l];
					m2Ptr++;
				}
				m1Ptr += 3;
			}
			break;
		}
		case 4: {
			if ( l == 6 ) {
				for ( i = 0; i < k; i++ ) {		// Nx4 * 4x6
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[1] * m2Ptr[6] + m1Ptr[2] * m2Ptr[12] + m1Ptr[3] * m2Ptr[18];
					*dstPtr++ = m1Ptr[0] * m2Ptr[1] + m1Ptr[1] * m2Ptr[7] + m1Ptr[2] * m2Ptr[13] + m1Ptr[3] * m2Ptr[19];
					*dstPtr++ = m1Ptr[0] * m2Ptr[2] + m1Ptr[1] * m2Ptr[8] + m1Ptr[2] * m2Ptr[14] + m1Ptr[3] * m2Ptr[20];
					*dstPtr++ = m1Ptr[0] * m2Ptr[3] + m1Ptr[1] * m2Ptr[9] + m1Ptr[2] * m2Ptr[15] + m1Ptr[3] * m2Ptr[21];
					*dstPtr++ = m1Ptr[0] * m2Ptr[4] + m1Ptr[1] * m2Ptr[10] + m1Ptr[2] * m2Ptr[16] + m1Ptr[3] * m2Ptr[22];
					*dstPtr++ = m1Ptr[0] * m2Ptr[5] + m1Ptr[1] * m2Ptr[11] + m1Ptr[2] * m2Ptr[17] + m1Ptr[3] * m2Ptr[23];
					m1Ptr += 4;
				}
				return;
			}
			for ( i = 0; i < k; i++ ) {
				m2Ptr = m2.ToFloatPtr();
				for ( j = 0; j < l; j++ ) {
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[1] * m2Ptr[l] + m1Ptr[2] * m2Ptr[2*l] +
									 m1Ptr[3] * m2Ptr[3*l];
					m2Ptr++;
				}
				m1Ptr += 4;
			}
			break;
		}
		case 5: {
			if ( l == 6 ) {
				for ( i = 0; i < k; i++ ) {		// Nx5 * 5x6
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[1] * m2Ptr[6] + m1Ptr[2] * m2Ptr[12] + m1Ptr[3] * m2Ptr[18] + m1Ptr[4] * m2Ptr[24];
					*dstPtr++ = m1Ptr[0] * m2Ptr[1] + m1Ptr[1] * m2Ptr[7] + m1Ptr[2] * m2Ptr[13] + m1Ptr[3] * m2Ptr[19] + m1Ptr[4] * m2Ptr[25];
					*dstPtr++ = m1Ptr[0] * m2Ptr[2] + m1Ptr[1] * m2Ptr[8] + m1Ptr[2] * m2Ptr[14] + m1Ptr[3] * m2Ptr[20] + m1Ptr[4] * m2Ptr[26];
					*dstPtr++ = m1Ptr[0] * m2Ptr[3] + m1Ptr[1] * m2Ptr[9] + m1Ptr[2] * m2Ptr[15] + m1Ptr[3] * m2Ptr[21] + m1Ptr[4] * m2Ptr[27];
					*dstPtr++ = m1Ptr[0] * m2Ptr[4] + m1Ptr[1] * m2Ptr[10] + m1Ptr[2] * m2Ptr[16] + m1Ptr[3] * m2Ptr[22] + m1Ptr[4] * m2Ptr[28];
					*dstPtr++ = m1Ptr[0] * m2Ptr[5] + m1Ptr[1] * m2Ptr[11] + m1Ptr[2] * m2Ptr[17] + m1Ptr[3] * m2Ptr[23] + m1Ptr[4] * m2Ptr[29];
					m1Ptr += 5;
				}
				return;
			}
			for ( i = 0; i < k; i++ ) {
				m2Ptr = m2.ToFloatPtr();
				for ( j = 0; j < l; j++ ) {
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[1] * m2Ptr[l] + m1Ptr[2] * m2Ptr[2*l] +
									 m1Ptr[3] * m2Ptr[3*l] + m1Ptr[4] * m2Ptr[4*l];
					m2Ptr++;
				}
				m1Ptr += 5;
			}
			break;
		}
		case 6: {
			switch( k ) {
				case 1: {
					if ( l == 1 ) {		// 1x6 * 6x1
						dstPtr[0] = m1Ptr[0] * m2Ptr[0] + m1Ptr[1] * m2Ptr[1] + m1Ptr[2] * m2Ptr[2] +
									 m1Ptr[3] * m2Ptr[3] + m1Ptr[4] * m2Ptr[4] + m1Ptr[5] * m2Ptr[5];
						return;
					}
					break;
				}
				case 2: {
					if ( l == 2 ) {		// 2x6 * 6x2
						for ( i = 0; i < 2; i++ ) {
							for ( j = 0; j < 2; j++ ) {
								*dstPtr = m1Ptr[0] * m2Ptr[ 0 * 2 + j ]
										+ m1Ptr[1] * m2Ptr[ 1 * 2 + j ]
										+ m1Ptr[2] * m2Ptr[ 2 * 2 + j ]
										+ m1Ptr[3] * m2Ptr[ 3 * 2 + j ]
										+ m1Ptr[4] * m2Ptr[ 4 * 2 + j ]
										+ m1Ptr[5] * m2Ptr[ 5 * 2 + j ];
								dstPtr++;
							}
							m1Ptr += 6;
						}
						return;
					}
					break;
				}
				case 3: {
					if ( l == 3 ) {		// 3x6 * 6x3
						for ( i = 0; i < 3; i++ ) {
							for ( j = 0; j < 3; j++ ) {
								*dstPtr = m1Ptr[0] * m2Ptr[ 0 * 3 + j ]
										+ m1Ptr[1] * m2Ptr[ 1 * 3 + j ]
										+ m1Ptr[2] * m2Ptr[ 2 * 3 + j ]
										+ m1Ptr[3] * m2Ptr[ 3 * 3 + j ]
										+ m1Ptr[4] * m2Ptr[ 4 * 3 + j ]
										+ m1Ptr[5] * m2Ptr[ 5 * 3 + j ];
								dstPtr++;
							}
							m1Ptr += 6;
						}
						return;
					}
					break;
				}
				case 4: {
					if ( l == 4 ) {		// 4x6 * 6x4
						for ( i = 0; i < 4; i++ ) {
							for ( j = 0; j < 4; j++ ) {
								*dstPtr = m1Ptr[0] * m2Ptr[ 0 * 4 + j ]
										+ m1Ptr[1] * m2Ptr[ 1 * 4 + j ]
										+ m1Ptr[2] * m2Ptr[ 2 * 4 + j ]
										+ m1Ptr[3] * m2Ptr[ 3 * 4 + j ]
										+ m1Ptr[4] * m2Ptr[ 4 * 4 + j ]
										+ m1Ptr[5] * m2Ptr[ 5 * 4 + j ];
								dstPtr++;
							}
							m1Ptr += 6;
						}
						return;
					}
				}
				case 5: {
					if ( l == 5 ) {		// 5x6 * 6x5
						for ( i = 0; i < 5; i++ ) {
							for ( j = 0; j < 5; j++ ) {
								*dstPtr = m1Ptr[0] * m2Ptr[ 0 * 5 + j ]
										+ m1Ptr[1] * m2Ptr[ 1 * 5 + j ]
										+ m1Ptr[2] * m2Ptr[ 2 * 5 + j ]
										+ m1Ptr[3] * m2Ptr[ 3 * 5 + j ]
										+ m1Ptr[4] * m2Ptr[ 4 * 5 + j ]
										+ m1Ptr[5] * m2Ptr[ 5 * 5 + j ];
								dstPtr++;
							}
							m1Ptr += 6;
						}
						return;
					}
				}
				case 6: {
					switch( l ) {
						case 1: {		// 6x6 * 6x1
							for ( i = 0; i < 6; i++ ) {
								*dstPtr = m1Ptr[0] * m2Ptr[ 0 * 1 ]
										+ m1Ptr[1] * m2Ptr[ 1 * 1 ]
										+ m1Ptr[2] * m2Ptr[ 2 * 1 ]
										+ m1Ptr[3] * m2Ptr[ 3 * 1 ]
										+ m1Ptr[4] * m2Ptr[ 4 * 1 ]
										+ m1Ptr[5] * m2Ptr[ 5 * 1 ];
								dstPtr++;
								m1Ptr += 6;
							}
							return;
						}
						case 2: {		// 6x6 * 6x2
							for ( i = 0; i < 6; i++ ) {
								for ( j = 0; j < 2; j++ ) {
									*dstPtr = m1Ptr[0] * m2Ptr[ 0 * 2 + j ]
											+ m1Ptr[1] * m2Ptr[ 1 * 2 + j ]
											+ m1Ptr[2] * m2Ptr[ 2 * 2 + j ]
											+ m1Ptr[3] * m2Ptr[ 3 * 2 + j ]
											+ m1Ptr[4] * m2Ptr[ 4 * 2 + j ]
											+ m1Ptr[5] * m2Ptr[ 5 * 2 + j ];
									dstPtr++;
								}
								m1Ptr += 6;
							}
							return;
						}
						case 3: {		// 6x6 * 6x3
							for ( i = 0; i < 6; i++ ) {
								for ( j = 0; j < 3; j++ ) {
									*dstPtr = m1Ptr[0] * m2Ptr[ 0 * 3 + j ]
											+ m1Ptr[1] * m2Ptr[ 1 * 3 + j ]
											+ m1Ptr[2] * m2Ptr[ 2 * 3 + j ]
											+ m1Ptr[3] * m2Ptr[ 3 * 3 + j ]
											+ m1Ptr[4] * m2Ptr[ 4 * 3 + j ]
											+ m1Ptr[5] * m2Ptr[ 5 * 3 + j ];
									dstPtr++;
								}
								m1Ptr += 6;
							}
							return;
						}
						case 4: {		// 6x6 * 6x4
							for ( i = 0; i < 6; i++ ) {
								for ( j = 0; j < 4; j++ ) {
									*dstPtr = m1Ptr[0] * m2Ptr[ 0 * 4 + j ]
											+ m1Ptr[1] * m2Ptr[ 1 * 4 + j ]
											+ m1Ptr[2] * m2Ptr[ 2 * 4 + j ]
											+ m1Ptr[3] * m2Ptr[ 3 * 4 + j ]
											+ m1Ptr[4] * m2Ptr[ 4 * 4 + j ]
											+ m1Ptr[5] * m2Ptr[ 5 * 4 + j ];
									dstPtr++;
								}
								m1Ptr += 6;
							}
							return;
						}
						case 5: {		// 6x6 * 6x5
							for ( i = 0; i < 6; i++ ) {
								for ( j = 0; j < 5; j++ ) {
									*dstPtr = m1Ptr[0] * m2Ptr[ 0 * 5 + j ]
											+ m1Ptr[1] * m2Ptr[ 1 * 5 + j ]
											+ m1Ptr[2] * m2Ptr[ 2 * 5 + j ]
											+ m1Ptr[3] * m2Ptr[ 3 * 5 + j ]
											+ m1Ptr[4] * m2Ptr[ 4 * 5 + j ]
											+ m1Ptr[5] * m2Ptr[ 5 * 5 + j ];
									dstPtr++;
								}
								m1Ptr += 6;
							}
							return;
						}
						case 6: {		// 6x6 * 6x6
							for ( i = 0; i < 6; i++ ) {
								for ( j = 0; j < 6; j++ ) {
									*dstPtr = m1Ptr[0] * m2Ptr[ 0 * 6 + j ]
											+ m1Ptr[1] * m2Ptr[ 1 * 6 + j ]
											+ m1Ptr[2] * m2Ptr[ 2 * 6 + j ]
											+ m1Ptr[3] * m2Ptr[ 3 * 6 + j ]
											+ m1Ptr[4] * m2Ptr[ 4 * 6 + j ]
											+ m1Ptr[5] * m2Ptr[ 5 * 6 + j ];
									dstPtr++;
								}
								m1Ptr += 6;
							}
							return;
						}
					}
				}
			}
			for ( i = 0; i < k; i++ ) {
				m2Ptr = m2.ToFloatPtr();
				for ( j = 0; j < l; j++ ) {
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[1] * m2Ptr[l] + m1Ptr[2] * m2Ptr[2*l] +
									 m1Ptr[3] * m2Ptr[3*l] + m1Ptr[4] * m2Ptr[4*l] + m1Ptr[5] * m2Ptr[5*l];
					m2Ptr++;
				}
				m1Ptr += 6;
			}
			break;
		}
		default: {
			for ( i = 0; i < k; i++ ) {
				for ( j = 0; j < l; j++ ) {
					m2Ptr = m2.ToFloatPtr() + j;
					sum = m1Ptr[0] * m2Ptr[0];
					for ( n = 1; n < m1.GetNumColumns(); n++ ) {
						m2Ptr += l;
						sum += m1Ptr[n] * m2Ptr[0];
					}
					*dstPtr++ = sum;
				}
				m1Ptr += m1.GetNumColumns();
			}
			break;
		}
	}
}

/*
============
idSIMD_Generic::MatX_TransposeMultiplyMatX

	optimizes the following tranpose matrix multiplications:

	Nx6 * NxN
	6xN * 6x6

	with N in the range [1-6].
============
*/
void VPCALL idSIMD_Generic::MatX_TransposeMultiplyMatX( idMatX &dst, const idMatX &m1, const idMatX &m2 ) {
	int i, j, k, l, n;
	float *dstPtr;
	const float *m1Ptr, *m2Ptr;
	double sum;

	assert( m1.GetNumRows() == m2.GetNumRows() );

	m1Ptr = m1.ToFloatPtr();
	m2Ptr = m2.ToFloatPtr();
	dstPtr = dst.ToFloatPtr();
	k = m1.GetNumColumns();
	l = m2.GetNumColumns();

	switch( m1.GetNumRows() ) {
		case 1:
			if ( k == 6 && l == 1 ) {			// 1x6 * 1x1
				for ( i = 0; i < 6; i++ ) {
					*dstPtr++ = m1Ptr[0] * m2Ptr[0];
					m1Ptr++;
				}
				return;
			}
			for ( i = 0; i < k; i++ ) {
				m2Ptr = m2.ToFloatPtr();
				for ( j = 0; j < l; j++ ) {
					*dstPtr++ = m1Ptr[0] * m2Ptr[0];
					m2Ptr++;
				}
				m1Ptr++;
			}
			break;
		case 2:
			if ( k == 6 && l == 2 ) {			// 2x6 * 2x2
				for ( i = 0; i < 6; i++ ) {
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*2+0] + m1Ptr[1*6] * m2Ptr[1*2+0];
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*2+1] + m1Ptr[1*6] * m2Ptr[1*2+1];
					m1Ptr++;
				}
				return;
			}
			for ( i = 0; i < k; i++ ) {
				m2Ptr = m2.ToFloatPtr();
				for ( j = 0; j < l; j++ ) {
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[k] * m2Ptr[l];
					m2Ptr++;
				}
				m1Ptr++;
			}
			break;
		case 3:
			if ( k == 6 && l == 3 ) {			// 3x6 * 3x3
				for ( i = 0; i < 6; i++ ) {
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*3+0] + m1Ptr[1*6] * m2Ptr[1*3+0] + m1Ptr[2*6] * m2Ptr[2*3+0];
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*3+1] + m1Ptr[1*6] * m2Ptr[1*3+1] + m1Ptr[2*6] * m2Ptr[2*3+1];
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*3+2] + m1Ptr[1*6] * m2Ptr[1*3+2] + m1Ptr[2*6] * m2Ptr[2*3+2];
					m1Ptr++;
				}
				return;
			}
			for ( i = 0; i < k; i++ ) {
				m2Ptr = m2.ToFloatPtr();
				for ( j = 0; j < l; j++ ) {
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[k] * m2Ptr[l] + m1Ptr[2*k] * m2Ptr[2*l];
					m2Ptr++;
				}
				m1Ptr++;
			}
			break;
		case 4:
			if ( k == 6 && l == 4 ) {			// 4x6 * 4x4
				for ( i = 0; i < 6; i++ ) {
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*4+0] + m1Ptr[1*6] * m2Ptr[1*4+0] + m1Ptr[2*6] * m2Ptr[2*4+0] + m1Ptr[3*6] * m2Ptr[3*4+0];
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*4+1] + m1Ptr[1*6] * m2Ptr[1*4+1] + m1Ptr[2*6] * m2Ptr[2*4+1] + m1Ptr[3*6] * m2Ptr[3*4+1];
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*4+2] + m1Ptr[1*6] * m2Ptr[1*4+2] + m1Ptr[2*6] * m2Ptr[2*4+2] + m1Ptr[3*6] * m2Ptr[3*4+2];
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*4+3] + m1Ptr[1*6] * m2Ptr[1*4+3] + m1Ptr[2*6] * m2Ptr[2*4+3] + m1Ptr[3*6] * m2Ptr[3*4+3];
					m1Ptr++;
				}
				return;
			}
			for ( i = 0; i < k; i++ ) {
				m2Ptr = m2.ToFloatPtr();
				for ( j = 0; j < l; j++ ) {
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[k] * m2Ptr[l] + m1Ptr[2*k] * m2Ptr[2*l] +
									m1Ptr[3*k] * m2Ptr[3*l];
					m2Ptr++;
				}
				m1Ptr++;
			}
			break;
		case 5:
			if ( k == 6 && l == 5 ) {			// 5x6 * 5x5
				for ( i = 0; i < 6; i++ ) {
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*5+0] + m1Ptr[1*6] * m2Ptr[1*5+0] + m1Ptr[2*6] * m2Ptr[2*5+0] + m1Ptr[3*6] * m2Ptr[3*5+0] + m1Ptr[4*6] * m2Ptr[4*5+0];
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*5+1] + m1Ptr[1*6] * m2Ptr[1*5+1] + m1Ptr[2*6] * m2Ptr[2*5+1] + m1Ptr[3*6] * m2Ptr[3*5+1] + m1Ptr[4*6] * m2Ptr[4*5+1];
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*5+2] + m1Ptr[1*6] * m2Ptr[1*5+2] + m1Ptr[2*6] * m2Ptr[2*5+2] + m1Ptr[3*6] * m2Ptr[3*5+2] + m1Ptr[4*6] * m2Ptr[4*5+2];
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*5+3] + m1Ptr[1*6] * m2Ptr[1*5+3] + m1Ptr[2*6] * m2Ptr[2*5+3] + m1Ptr[3*6] * m2Ptr[3*5+3] + m1Ptr[4*6] * m2Ptr[4*5+3];
					*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*5+4] + m1Ptr[1*6] * m2Ptr[1*5+4] + m1Ptr[2*6] * m2Ptr[2*5+4] + m1Ptr[3*6] * m2Ptr[3*5+4] + m1Ptr[4*6] * m2Ptr[4*5+4];
					m1Ptr++;
				}
				return;
			}
			for ( i = 0; i < k; i++ ) {
				m2Ptr = m2.ToFloatPtr();
				for ( j = 0; j < l; j++ ) {
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[k] * m2Ptr[l] + m1Ptr[2*k] * m2Ptr[2*l] +
									m1Ptr[3*k] * m2Ptr[3*l] + m1Ptr[4*k] * m2Ptr[4*l];
					m2Ptr++;
				}
				m1Ptr++;
			}
			break;
		case 6:
			if ( l == 6 ) {
				switch( k ) {
					case 1:						// 6x1 * 6x6
						m2Ptr = m2.ToFloatPtr();
						for ( j = 0; j < 6; j++ ) {
							*dstPtr++ = m1Ptr[0*1] * m2Ptr[0*6] +
										m1Ptr[1*1] * m2Ptr[1*6] +
										m1Ptr[2*1] * m2Ptr[2*6] +
										m1Ptr[3*1] * m2Ptr[3*6] +
										m1Ptr[4*1] * m2Ptr[4*6] +
										m1Ptr[5*1] * m2Ptr[5*6];
							m2Ptr++;
						}
						return;
					case 2:						// 6x2 * 6x6
						for ( i = 0; i < 2; i++ ) {
							m2Ptr = m2.ToFloatPtr();
							for ( j = 0; j < 6; j++ ) {
								*dstPtr++ = m1Ptr[0*2] * m2Ptr[0*6] +
											m1Ptr[1*2] * m2Ptr[1*6] +
											m1Ptr[2*2] * m2Ptr[2*6] +
											m1Ptr[3*2] * m2Ptr[3*6] +
											m1Ptr[4*2] * m2Ptr[4*6] +
											m1Ptr[5*2] * m2Ptr[5*6];
								m2Ptr++;
							}
							m1Ptr++;
						}
						return;
					case 3:						// 6x3 * 6x6
						for ( i = 0; i < 3; i++ ) {
							m2Ptr = m2.ToFloatPtr();
							for ( j = 0; j < 6; j++ ) {
								*dstPtr++ = m1Ptr[0*3] * m2Ptr[0*6] +
											m1Ptr[1*3] * m2Ptr[1*6] +
											m1Ptr[2*3] * m2Ptr[2*6] +
											m1Ptr[3*3] * m2Ptr[3*6] +
											m1Ptr[4*3] * m2Ptr[4*6] +
											m1Ptr[5*3] * m2Ptr[5*6];
								m2Ptr++;
							}
							m1Ptr++;
						}
						return;
					case 4:						// 6x4 * 6x6
						for ( i = 0; i < 4; i++ ) {
							m2Ptr = m2.ToFloatPtr();
							for ( j = 0; j < 6; j++ ) {
								*dstPtr++ = m1Ptr[0*4] * m2Ptr[0*6] +
											m1Ptr[1*4] * m2Ptr[1*6] +
											m1Ptr[2*4] * m2Ptr[2*6] +
											m1Ptr[3*4] * m2Ptr[3*6] +
											m1Ptr[4*4] * m2Ptr[4*6] +
											m1Ptr[5*4] * m2Ptr[5*6];
								m2Ptr++;
							}
							m1Ptr++;
						}
						return;
					case 5:						// 6x5 * 6x6
						for ( i = 0; i < 5; i++ ) {
							m2Ptr = m2.ToFloatPtr();
							for ( j = 0; j < 6; j++ ) {
								*dstPtr++ = m1Ptr[0*5] * m2Ptr[0*6] +
											m1Ptr[1*5] * m2Ptr[1*6] +
											m1Ptr[2*5] * m2Ptr[2*6] +
											m1Ptr[3*5] * m2Ptr[3*6] +
											m1Ptr[4*5] * m2Ptr[4*6] +
											m1Ptr[5*5] * m2Ptr[5*6];
								m2Ptr++;
							}
							m1Ptr++;
						}
						return;
					case 6:						// 6x6 * 6x6
						for ( i = 0; i < 6; i++ ) {
							m2Ptr = m2.ToFloatPtr();
							for ( j = 0; j < 6; j++ ) {
								*dstPtr++ = m1Ptr[0*6] * m2Ptr[0*6] +
											m1Ptr[1*6] * m2Ptr[1*6] +
											m1Ptr[2*6] * m2Ptr[2*6] +
											m1Ptr[3*6] * m2Ptr[3*6] +
											m1Ptr[4*6] * m2Ptr[4*6] +
											m1Ptr[5*6] * m2Ptr[5*6];
								m2Ptr++;
							}
							m1Ptr++;
						}
						return;
				}
			}
			for ( i = 0; i < k; i++ ) {
				m2Ptr = m2.ToFloatPtr();
				for ( j = 0; j < l; j++ ) {
					*dstPtr++ = m1Ptr[0] * m2Ptr[0] + m1Ptr[k] * m2Ptr[l] + m1Ptr[2*k] * m2Ptr[2*l] +
									m1Ptr[3*k] * m2Ptr[3*l] + m1Ptr[4*k] * m2Ptr[4*l] + m1Ptr[5*k] * m2Ptr[5*l];
					m2Ptr++;
				}
				m1Ptr++;
			}
			break;
		default:
			for ( i = 0; i < k; i++ ) {
				for ( j = 0; j < l; j++ ) {
					m1Ptr = m1.ToFloatPtr() + i;
					m2Ptr = m2.ToFloatPtr() + j;
					sum = m1Ptr[0] * m2Ptr[0];
					for ( n = 1; n < m1.GetNumRows(); n++ ) {
						m1Ptr += k;
						m2Ptr += l;
						sum += m1Ptr[0] * m2Ptr[0];
					}
					*dstPtr++ = sum;
				}
			}
		break;
	}
}

/*
============
idSIMD_Generic::MatX_LowerTriangularSolve

  solves x in Lx = b for the n * n sub-matrix of L
  if skip > 0 the first skip elements of x are assumed to be valid already
  L has to be a lower triangular matrix with (implicit) ones on the diagonal
  x == b is allowed
============
*/
void VPCALL idSIMD_Generic::MatX_LowerTriangularSolve( const idMatX &L, float *x, const float *b, const int n, int skip ) {
#if 1

	int nc;
	const float *lptr;

	if ( skip >= n ) {
		return;
	}

	lptr = L.ToFloatPtr();
	nc = L.GetNumColumns();

	// unrolled cases for n < 8
	if ( n < 8 ) {
		#define NSKIP( n, s )	((n<<3)|(s&7))
		switch( NSKIP( n, skip ) ) {
			case NSKIP( 1, 0 ): x[0] = b[0];
				return;
			case NSKIP( 2, 0 ): x[0] = b[0];
			case NSKIP( 2, 1 ): x[1] = b[1] - lptr[1*nc+0] * x[0];
				return;
			case NSKIP( 3, 0 ): x[0] = b[0];
			case NSKIP( 3, 1 ): x[1] = b[1] - lptr[1*nc+0] * x[0];
			case NSKIP( 3, 2 ): x[2] = b[2] - lptr[2*nc+0] * x[0] - lptr[2*nc+1] * x[1];
				return;
			case NSKIP( 4, 0 ): x[0] = b[0];
			case NSKIP( 4, 1 ): x[1] = b[1] - lptr[1*nc+0] * x[0];
			case NSKIP( 4, 2 ): x[2] = b[2] - lptr[2*nc+0] * x[0] - lptr[2*nc+1] * x[1];
			case NSKIP( 4, 3 ): x[3] = b[3] - lptr[3*nc+0] * x[0] - lptr[3*nc+1] * x[1] - lptr[3*nc+2] * x[2];
				return;
			case NSKIP( 5, 0 ): x[0] = b[0];
			case NSKIP( 5, 1 ): x[1] = b[1] - lptr[1*nc+0] * x[0];
			case NSKIP( 5, 2 ): x[2] = b[2] - lptr[2*nc+0] * x[0] - lptr[2*nc+1] * x[1];
			case NSKIP( 5, 3 ): x[3] = b[3] - lptr[3*nc+0] * x[0] - lptr[3*nc+1] * x[1] - lptr[3*nc+2] * x[2];
			case NSKIP( 5, 4 ): x[4] = b[4] - lptr[4*nc+0] * x[0] - lptr[4*nc+1] * x[1] - lptr[4*nc+2] * x[2] - lptr[4*nc+3] * x[3];
				return;
			case NSKIP( 6, 0 ): x[0] = b[0];
			case NSKIP( 6, 1 ): x[1] = b[1] - lptr[1*nc+0] * x[0];
			case NSKIP( 6, 2 ): x[2] = b[2] - lptr[2*nc+0] * x[0] - lptr[2*nc+1] * x[1];
			case NSKIP( 6, 3 ): x[3] = b[3] - lptr[3*nc+0] * x[0] - lptr[3*nc+1] * x[1] - lptr[3*nc+2] * x[2];
			case NSKIP( 6, 4 ): x[4] = b[4] - lptr[4*nc+0] * x[0] - lptr[4*nc+1] * x[1] - lptr[4*nc+2] * x[2] - lptr[4*nc+3] * x[3];
			case NSKIP( 6, 5 ): x[5] = b[5] - lptr[5*nc+0] * x[0] - lptr[5*nc+1] * x[1] - lptr[5*nc+2] * x[2] - lptr[5*nc+3] * x[3] - lptr[5*nc+4] * x[4];
				return;
			case NSKIP( 7, 0 ): x[0] = b[0];
			case NSKIP( 7, 1 ): x[1] = b[1] - lptr[1*nc+0] * x[0];
			case NSKIP( 7, 2 ): x[2] = b[2] - lptr[2*nc+0] * x[0] - lptr[2*nc+1] * x[1];
			case NSKIP( 7, 3 ): x[3] = b[3] - lptr[3*nc+0] * x[0] - lptr[3*nc+1] * x[1] - lptr[3*nc+2] * x[2];
			case NSKIP( 7, 4 ): x[4] = b[4] - lptr[4*nc+0] * x[0] - lptr[4*nc+1] * x[1] - lptr[4*nc+2] * x[2] - lptr[4*nc+3] * x[3];
			case NSKIP( 7, 5 ): x[5] = b[5] - lptr[5*nc+0] * x[0] - lptr[5*nc+1] * x[1] - lptr[5*nc+2] * x[2] - lptr[5*nc+3] * x[3] - lptr[5*nc+4] * x[4];
			case NSKIP( 7, 6 ): x[6] = b[6] - lptr[6*nc+0] * x[0] - lptr[6*nc+1] * x[1] - lptr[6*nc+2] * x[2] - lptr[6*nc+3] * x[3] - lptr[6*nc+4] * x[4] - lptr[6*nc+5] * x[5];
				return;
		}
		return;
	}

	// process first 4 rows
	switch( skip ) {
		case 0: x[0] = b[0];
		case 1: x[1] = b[1] - lptr[1*nc+0] * x[0];
		case 2: x[2] = b[2] - lptr[2*nc+0] * x[0] - lptr[2*nc+1] * x[1];
		case 3: x[3] = b[3] - lptr[3*nc+0] * x[0] - lptr[3*nc+1] * x[1] - lptr[3*nc+2] * x[2];
				skip = 4;
	}

	lptr = L[skip];

	int i, j;
	double s0, s1, s2, s3;

	for ( i = skip; i < n; i++ ) {
		s0 = lptr[0] * x[0];
		s1 = lptr[1] * x[1];
		s2 = lptr[2] * x[2];
		s3 = lptr[3] * x[3];
		for ( j = 4; j < i-7; j += 8 ) {
			s0 += lptr[j+0] * x[j+0];
			s1 += lptr[j+1] * x[j+1];
			s2 += lptr[j+2] * x[j+2];
			s3 += lptr[j+3] * x[j+3];
			s0 += lptr[j+4] * x[j+4];
			s1 += lptr[j+5] * x[j+5];
			s2 += lptr[j+6] * x[j+6];
			s3 += lptr[j+7] * x[j+7];
		}
		switch( i - j ) {
			NODEFAULT;
			case 7: s0 += lptr[j+6] * x[j+6];
			case 6: s1 += lptr[j+5] * x[j+5];
			case 5: s2 += lptr[j+4] * x[j+4];
			case 4: s3 += lptr[j+3] * x[j+3];
			case 3: s0 += lptr[j+2] * x[j+2];
			case 2: s1 += lptr[j+1] * x[j+1];
			case 1: s2 += lptr[j+0] * x[j+0];
			case 0: break;
		}
		double sum;
		sum = s3;
		sum += s2;
		sum += s1;
		sum += s0;
		sum -= b[i];
		x[i] = -sum;
		lptr += nc;
	}

#else

	int i, j;
	const float *lptr;
	double sum;

	for ( i = skip; i < n; i++ ) {
		sum = b[i];
		lptr = L[i];
		for ( j = 0; j < i; j++ ) {
			sum -= lptr[j] * x[j];
		}
		x[i] = sum;
	}

#endif
}

/*
============
idSIMD_Generic::MatX_LowerTriangularSolveTranspose

  solves x in L'x = b for the n * n sub-matrix of L
  L has to be a lower triangular matrix with (implicit) ones on the diagonal
  x == b is allowed
============
*/
void VPCALL idSIMD_Generic::MatX_LowerTriangularSolveTranspose( const idMatX &L, float *x, const float *b, const int n ) {
#if 1

	int nc;
	const float *lptr;

	lptr = L.ToFloatPtr();
	nc = L.GetNumColumns();

	// unrolled cases for n < 8
	if ( n < 8 ) {
		switch( n ) {
			case 0:
				return;
			case 1:
				x[0] = b[0];
				return;
			case 2:
				x[1] = b[1];
				x[0] = b[0] - lptr[1*nc+0] * x[1];
				return;
			case 3:
				x[2] = b[2];
				x[1] = b[1] - lptr[2*nc+1] * x[2];
				x[0] = b[0] - lptr[2*nc+0] * x[2] - lptr[1*nc+0] * x[1];
				return;
			case 4:
				x[3] = b[3];
				x[2] = b[2] - lptr[3*nc+2] * x[3];
				x[1] = b[1] - lptr[3*nc+1] * x[3] - lptr[2*nc+1] * x[2];
				x[0] = b[0] - lptr[3*nc+0] * x[3] - lptr[2*nc+0] * x[2] - lptr[1*nc+0] * x[1];
				return;
			case 5:
				x[4] = b[4];
				x[3] = b[3] - lptr[4*nc+3] * x[4];
				x[2] = b[2] - lptr[4*nc+2] * x[4] - lptr[3*nc+2] * x[3];
				x[1] = b[1] - lptr[4*nc+1] * x[4] - lptr[3*nc+1] * x[3] - lptr[2*nc+1] * x[2];
				x[0] = b[0] - lptr[4*nc+0] * x[4] - lptr[3*nc+0] * x[3] - lptr[2*nc+0] * x[2] - lptr[1*nc+0] * x[1];
				return;
			case 6:
				x[5] = b[5];
				x[4] = b[4] - lptr[5*nc+4] * x[5];
				x[3] = b[3] - lptr[5*nc+3] * x[5] - lptr[4*nc+3] * x[4];
				x[2] = b[2] - lptr[5*nc+2] * x[5] - lptr[4*nc+2] * x[4] - lptr[3*nc+2] * x[3];
				x[1] = b[1] - lptr[5*nc+1] * x[5] - lptr[4*nc+1] * x[4] - lptr[3*nc+1] * x[3] - lptr[2*nc+1] * x[2];
				x[0] = b[0] - lptr[5*nc+0] * x[5] - lptr[4*nc+0] * x[4] - lptr[3*nc+0] * x[3] - lptr[2*nc+0] * x[2] - lptr[1*nc+0] * x[1];
				return;
			case 7:
				x[6] = b[6];
				x[5] = b[5] - lptr[6*nc+5] * x[6];
				x[4] = b[4] - lptr[6*nc+4] * x[6] - lptr[5*nc+4] * x[5];
				x[3] = b[3] - lptr[6*nc+3] * x[6] - lptr[5*nc+3] * x[5] - lptr[4*nc+3] * x[4];
				x[2] = b[2] - lptr[6*nc+2] * x[6] - lptr[5*nc+2] * x[5] - lptr[4*nc+2] * x[4] - lptr[3*nc+2] * x[3];
				x[1] = b[1] - lptr[6*nc+1] * x[6] - lptr[5*nc+1] * x[5] - lptr[4*nc+1] * x[4] - lptr[3*nc+1] * x[3] - lptr[2*nc+1] * x[2];
				x[0] = b[0] - lptr[6*nc+0] * x[6] - lptr[5*nc+0] * x[5] - lptr[4*nc+0] * x[4] - lptr[3*nc+0] * x[3] - lptr[2*nc+0] * x[2] - lptr[1*nc+0] * x[1];
				return;
		}
		return;
	}

	int i, j;
	double s0, s1, s2, s3;
	float *xptr;

	lptr = L.ToFloatPtr() + n * nc + n - 4;
	xptr = x + n;

	// process 4 rows at a time
	for ( i = n; i >= 4; i -= 4 ) {
		s0 = b[i-4];
		s1 = b[i-3];
		s2 = b[i-2];
		s3 = b[i-1];
		// process 4x4 blocks
		for ( j = 0; j < n-i; j += 4 ) {
			s0 -= lptr[(j+0)*nc+0] * xptr[j+0];
			s1 -= lptr[(j+0)*nc+1] * xptr[j+0];
			s2 -= lptr[(j+0)*nc+2] * xptr[j+0];
			s3 -= lptr[(j+0)*nc+3] * xptr[j+0];
			s0 -= lptr[(j+1)*nc+0] * xptr[j+1];
			s1 -= lptr[(j+1)*nc+1] * xptr[j+1];
			s2 -= lptr[(j+1)*nc+2] * xptr[j+1];
			s3 -= lptr[(j+1)*nc+3] * xptr[j+1];
			s0 -= lptr[(j+2)*nc+0] * xptr[j+2];
			s1 -= lptr[(j+2)*nc+1] * xptr[j+2];
			s2 -= lptr[(j+2)*nc+2] * xptr[j+2];
			s3 -= lptr[(j+2)*nc+3] * xptr[j+2];
			s0 -= lptr[(j+3)*nc+0] * xptr[j+3];
			s1 -= lptr[(j+3)*nc+1] * xptr[j+3];
			s2 -= lptr[(j+3)*nc+2] * xptr[j+3];
			s3 -= lptr[(j+3)*nc+3] * xptr[j+3];
		}
		// process left over of the 4 rows
		s0 -= lptr[0-1*nc] * s3;
		s1 -= lptr[1-1*nc] * s3;
		s2 -= lptr[2-1*nc] * s3;
		s0 -= lptr[0-2*nc] * s2;
		s1 -= lptr[1-2*nc] * s2;
		s0 -= lptr[0-3*nc] * s1;
		// store result
		xptr[-4] = s0;
		xptr[-3] = s1;
		xptr[-2] = s2;
		xptr[-1] = s3;
		// update pointers for next four rows
		lptr -= 4 + 4 * nc;
		xptr -= 4;
	}
	// process left over rows
	for ( i--; i >= 0; i-- ) {
		s0 = b[i];
		lptr = L[0] + i;
		for ( j = i + 1; j < n; j++ ) {
			s0 -= lptr[j*nc] * x[j];
		}
		x[i] = s0;
	}

#else

	int i, j, nc;
	const float *ptr;
	double sum;

	nc = L.GetNumColumns();
	for ( i = n - 1; i >= 0; i-- ) {
		sum = b[i];
		ptr = L[0] + i;
		for ( j = i + 1; j < n; j++ ) {
			sum -= ptr[j*nc] * x[j];
		}
		x[i] = sum;
	}

#endif
}

/*
============
idSIMD_Generic::MatX_LDLTFactor

  in-place factorization LDL' of the n * n sub-matrix of mat
  the reciprocal of the diagonal elements are stored in invDiag
============
*/
bool VPCALL idSIMD_Generic::MatX_LDLTFactor( idMatX &mat, idVecX &invDiag, const int n ) {
#if 1

	int i, j, k, nc;
	float *v, *diag, *mptr;
	double s0, s1, s2, s3, sum, d;

	v = (float *) _alloca16( n * sizeof( float ) );
	diag = (float *) _alloca16( n * sizeof( float ) );

	nc = mat.GetNumColumns();

	if ( n <= 0 ) {
		return true;
	}

	mptr = mat[0];

	sum = mptr[0];

	if ( sum == 0.0f ) {
		return false;
	}

	diag[0] = sum;
	invDiag[0] = d = 1.0f / sum;

	if ( n <= 1 ) {
		return true;
	}

	mptr = mat[0];
	for ( j = 1; j < n; j++ ) {
		mptr[j*nc+0] = ( mptr[j*nc+0] ) * d;
	}

	mptr = mat[1];

	v[0] = diag[0] * mptr[0]; s0 = v[0] * mptr[0];
	sum = mptr[1] - s0;

	if ( sum == 0.0f ) {
		return false;
	}

	mat[1][1] = sum;
	diag[1] = sum;
	invDiag[1] = d = 1.0f / sum;

	if ( n <= 2 ) {
		return true;
	}

	mptr = mat[0];
	for ( j = 2; j < n; j++ ) {
		mptr[j*nc+1] = ( mptr[j*nc+1] - v[0] * mptr[j*nc+0] ) * d;
	}

	mptr = mat[2];

	v[0] = diag[0] * mptr[0]; s0 = v[0] * mptr[0];
	v[1] = diag[1] * mptr[1]; s1 = v[1] * mptr[1];
	sum = mptr[2] - s0 - s1;

	if ( sum == 0.0f ) {
		return false;
	}

	mat[2][2] = sum;
	diag[2] = sum;
	invDiag[2] = d = 1.0f / sum;

	if ( n <= 3 ) {
		return true;
	}

	mptr = mat[0];
	for ( j = 3; j < n; j++ ) {
		mptr[j*nc+2] = ( mptr[j*nc+2] - v[0] * mptr[j*nc+0] - v[1] * mptr[j*nc+1] ) * d;
	}

	mptr = mat[3];

	v[0] = diag[0] * mptr[0]; s0 = v[0] * mptr[0];
	v[1] = diag[1] * mptr[1]; s1 = v[1] * mptr[1];
	v[2] = diag[2] * mptr[2]; s2 = v[2] * mptr[2];
	sum = mptr[3] - s0 - s1 - s2;

	if ( sum == 0.0f ) {
		return false;
	}

	mat[3][3] = sum;
	diag[3] = sum;
	invDiag[3] = d = 1.0f / sum;

	if ( n <= 4 ) {
		return true;
	}

	mptr = mat[0];
	for ( j = 4; j < n; j++ ) {
		mptr[j*nc+3] = ( mptr[j*nc+3] - v[0] * mptr[j*nc+0] - v[1] * mptr[j*nc+1] - v[2] * mptr[j*nc+2] ) * d;
	}

	for ( i = 4; i < n; i++ ) {

		mptr = mat[i];

		v[0] = diag[0] * mptr[0]; s0 = v[0] * mptr[0];
		v[1] = diag[1] * mptr[1]; s1 = v[1] * mptr[1];
		v[2] = diag[2] * mptr[2]; s2 = v[2] * mptr[2];
		v[3] = diag[3] * mptr[3]; s3 = v[3] * mptr[3];
		for ( k = 4; k < i-3; k += 4 ) {
			v[k+0] = diag[k+0] * mptr[k+0]; s0 += v[k+0] * mptr[k+0];
			v[k+1] = diag[k+1] * mptr[k+1]; s1 += v[k+1] * mptr[k+1];
			v[k+2] = diag[k+2] * mptr[k+2]; s2 += v[k+2] * mptr[k+2];
			v[k+3] = diag[k+3] * mptr[k+3]; s3 += v[k+3] * mptr[k+3];
		}
		switch( i - k ) {
			NODEFAULT;
			case 3: v[k+2] = diag[k+2] * mptr[k+2]; s0 += v[k+2] * mptr[k+2];
			case 2: v[k+1] = diag[k+1] * mptr[k+1]; s1 += v[k+1] * mptr[k+1];
			case 1: v[k+0] = diag[k+0] * mptr[k+0]; s2 += v[k+0] * mptr[k+0];
			case 0: break;
		}
		sum = s3;
		sum += s2;
		sum += s1;
		sum += s0;
		sum = mptr[i] - sum;

		if ( sum == 0.0f ) {
			return false;
		}

		mat[i][i] = sum;
		diag[i] = sum;
		invDiag[i] = d = 1.0f / sum;

		if ( i + 1 >= n ) {
			return true;
		}

		mptr = mat[i+1];
		for ( j = i+1; j < n; j++ ) {
			s0 = mptr[0] * v[0];
			s1 = mptr[1] * v[1];
			s2 = mptr[2] * v[2];
			s3 = mptr[3] * v[3];
			for ( k = 4; k < i-7; k += 8 ) {
				s0 += mptr[k+0] * v[k+0];
				s1 += mptr[k+1] * v[k+1];
				s2 += mptr[k+2] * v[k+2];
				s3 += mptr[k+3] * v[k+3];
				s0 += mptr[k+4] * v[k+4];
				s1 += mptr[k+5] * v[k+5];
				s2 += mptr[k+6] * v[k+6];
				s3 += mptr[k+7] * v[k+7];
			}
			switch( i - k ) {
				NODEFAULT;
				case 7: s0 += mptr[k+6] * v[k+6];
				case 6: s1 += mptr[k+5] * v[k+5];
				case 5: s2 += mptr[k+4] * v[k+4];
				case 4: s3 += mptr[k+3] * v[k+3];
				case 3: s0 += mptr[k+2] * v[k+2];
				case 2: s1 += mptr[k+1] * v[k+1];
				case 1: s2 += mptr[k+0] * v[k+0];
				case 0: break;
			}
			sum = s3;
			sum += s2;
			sum += s1;
			sum += s0;
			mptr[i] = ( mptr[i] - sum ) * d;
			mptr += nc;
		}
	}

	return true;

#else

	int i, j, k, nc;
	float *v, *ptr, *diagPtr;
	double d, sum;

	v = (float *) _alloca16( n * sizeof( float ) );
	nc = mat.GetNumColumns();

	for ( i = 0; i < n; i++ ) {

		ptr = mat[i];
		diagPtr = mat[0];
		sum = ptr[i];
		for ( j = 0; j < i; j++ ) {
			d = ptr[j];
			v[j] = diagPtr[0] * d;
			sum -= v[j] * d;
			diagPtr += nc + 1;
		}

		if ( sum == 0.0f ) {
			return false;
		}

		diagPtr[0] = sum;
		invDiag[i] = d = 1.0f / sum;

		if ( i + 1 >= n ) {
			continue;
		}

		ptr = mat[i+1];
		for ( j = i + 1; j < n; j++ ) {
			sum = ptr[i];
			for ( k = 0; k < i; k++ ) {
				sum -= ptr[k] * v[k];
			}
			ptr[i] = sum * d;
			ptr += nc;
		}
	}

	return true;

#endif
}

/*
============
idSIMD_Generic::BlendJoints
============
*/
void VPCALL idSIMD_Generic::BlendJoints( idJointQuat *joints, const idJointQuat *blendJoints, const float lerp, const int *index, const int numJoints ) {
	int i;

	for ( i = 0; i < numJoints; i++ ) {
		int j = index[i];
		joints[j].q.Slerp( joints[j].q, blendJoints[j].q, lerp );
		joints[j].t.Lerp( joints[j].t, blendJoints[j].t, lerp );
	}
}

/*
============
idSIMD_Generic::ConvertJointQuatsToJointMats
============
*/
void VPCALL idSIMD_Generic::ConvertJointQuatsToJointMats( idJointMat *jointMats, const idJointQuat *jointQuats, const int numJoints ) {
	int i;

	for ( i = 0; i < numJoints; i++ ) {
		jointMats[i].SetRotation( jointQuats[i].q.ToMat3() );
		jointMats[i].SetTranslation( jointQuats[i].t );
	}
}

/*
============
idSIMD_Generic::ConvertJointMatsToJointQuats
============
*/
void VPCALL idSIMD_Generic::ConvertJointMatsToJointQuats( idJointQuat *jointQuats, const idJointMat *jointMats, const int numJoints ) {
	int i;

	for ( i = 0; i < numJoints; i++ ) {
		jointQuats[i] = jointMats[i].ToJointQuat();
	}
}

/*
============
idSIMD_Generic::TransformJoints
============
*/
void VPCALL idSIMD_Generic::TransformJoints( idJointMat *jointMats, const int *parents, const int firstJoint, const int lastJoint ) {
	int i;

	for( i = firstJoint; i <= lastJoint; i++ ) {
		assert( parents[i] < i );
		jointMats[i] *= jointMats[parents[i]];
	}
}

/*
============
idSIMD_Generic::UntransformJoints
============
*/
void VPCALL idSIMD_Generic::UntransformJoints( idJointMat *jointMats, const int *parents, const int firstJoint, const int lastJoint ) {
	int i;

	for( i = lastJoint; i >= firstJoint; i-- ) {
		assert( parents[i] < i );
		jointMats[i] /= jointMats[parents[i]];
	}
}

/*
============
idSIMD_Generic::TransformVerts
============
*/
void VPCALL idSIMD_Generic::TransformVerts( idDrawVert *verts, const int numVerts, const idJointMat *joints, const idVec4 *weights, const int *index, int numWeights ) {
	int i, j;
	const byte *jointsPtr = (byte *)joints;

	for( j = i = 0; i < numVerts; i++ ) {
		idVec3 v;

		v = ( *(idJointMat *) ( jointsPtr + index[j*2+0] ) ) * weights[j];
		while( index[j*2+1] == 0 ) {
			j++;
			v += ( *(idJointMat *) ( jointsPtr + index[j*2+0] ) ) * weights[j];
		}
		j++;

		verts[i].xyz = v;
	}
}

/*
============
idSIMD_Generic::TracePointCull
============
*/
void VPCALL idSIMD_Generic::TracePointCull( byte *cullBits, byte &totalOr, const float radius, const idPlane *planes, const idDrawVert *verts, const int numVerts ) {
	int i;
	byte tOr;

	tOr = 0;

	for ( i = 0; i < numVerts; i++ ) {
		byte bits;
		float d0, d1, d2, d3, t;
		const idVec3 &v = verts[i].xyz;

		d0 = planes[0].Distance( v );
		d1 = planes[1].Distance( v );
		d2 = planes[2].Distance( v );
		d3 = planes[3].Distance( v );

		t = d0 + radius;
		bits  = FLOATSIGNBITSET( t ) << 0;
		t = d1 + radius;
		bits |= FLOATSIGNBITSET( t ) << 1;
		t = d2 + radius;
		bits |= FLOATSIGNBITSET( t ) << 2;
		t = d3 + radius;
		bits |= FLOATSIGNBITSET( t ) << 3;

		t = d0 - radius;
		bits |= FLOATSIGNBITSET( t ) << 4;
		t = d1 - radius;
		bits |= FLOATSIGNBITSET( t ) << 5;
		t = d2 - radius;
		bits |= FLOATSIGNBITSET( t ) << 6;
		t = d3 - radius;
		bits |= FLOATSIGNBITSET( t ) << 7;

		bits ^= 0x0F;		// flip lower four bits

		tOr |= bits;
		cullBits[i] = bits;
	}

	totalOr = tOr;
}

/*
============
idSIMD_Generic::DecalPointCull
============
*/
void VPCALL idSIMD_Generic::DecalPointCull( byte *cullBits, const idPlane *planes, const idDrawVert *verts, const int numVerts ) {
	int i;

	for ( i = 0; i < numVerts; i++ ) {
		byte bits;
		float d0, d1, d2, d3, d4, d5;
		const idVec3 &v = verts[i].xyz;

		d0 = planes[0].Distance( v );
		d1 = planes[1].Distance( v );
		d2 = planes[2].Distance( v );
		d3 = planes[3].Distance( v );
		d4 = planes[4].Distance( v );
		d5 = planes[5].Distance( v );

		bits  = FLOATSIGNBITSET( d0 ) << 0;
		bits |= FLOATSIGNBITSET( d1 ) << 1;
		bits |= FLOATSIGNBITSET( d2 ) << 2;
		bits |= FLOATSIGNBITSET( d3 ) << 3;
		bits |= FLOATSIGNBITSET( d4 ) << 4;
		bits |= FLOATSIGNBITSET( d5 ) << 5;

		cullBits[i] = bits ^ 0x3F;		// flip lower 6 bits
	}
}

/*
============
idSIMD_Generic::OverlayPointCull
============
*/
void VPCALL idSIMD_Generic::OverlayPointCull( byte *cullBits, idVec2 *texCoords, const idPlane *planes, const idDrawVert *verts, const int numVerts ) {
	int i;

	for ( i = 0; i < numVerts; i++ ) {
		byte bits;
		float d0, d1;
		const idVec3 &v = verts[i].xyz;

		texCoords[i][0] = d0 = planes[0].Distance( v );
		texCoords[i][1] = d1 = planes[1].Distance( v );

		bits  = FLOATSIGNBITSET( d0 ) << 0;
		d0 = 1.0f - d0;
		bits |= FLOATSIGNBITSET( d1 ) << 1;
		d1 = 1.0f - d1;
		bits |= FLOATSIGNBITSET( d0 ) << 2;
		bits |= FLOATSIGNBITSET( d1 ) << 3;

		cullBits[i] = bits;
	}
}

/*
============
idSIMD_Generic::DeriveTriPlanes

	Derives a plane equation for each triangle.
============
*/
void VPCALL idSIMD_Generic::DeriveTriPlanes( idPlane *planes, const idDrawVert *verts, const int numVerts, const int *indexes, const int numIndexes ) {
	int i;

	for ( i = 0; i < numIndexes; i += 3 ) {
		const idDrawVert *a, *b, *c;
		float d0[3], d1[3], f;
		idVec3 n;

		a = verts + indexes[i + 0];
		b = verts + indexes[i + 1];
		c = verts + indexes[i + 2];

		d0[0] = b->xyz[0] - a->xyz[0];
		d0[1] = b->xyz[1] - a->xyz[1];
		d0[2] = b->xyz[2] - a->xyz[2];

		d1[0] = c->xyz[0] - a->xyz[0];
		d1[1] = c->xyz[1] - a->xyz[1];
		d1[2] = c->xyz[2] - a->xyz[2];

		n[0] = d1[1] * d0[2] - d1[2] * d0[1];
		n[1] = d1[2] * d0[0] - d1[0] * d0[2];
		n[2] = d1[0] * d0[1] - d1[1] * d0[0];

		f = idMath::RSqrt( n.x * n.x + n.y * n.y + n.z * n.z );

		n.x *= f;
		n.y *= f;
		n.z *= f;

		planes->SetNormal( n );
		planes->FitThroughPoint( a->xyz );
		planes++;
	}
}

/*
============
idSIMD_Generic::DeriveTangents

	Derives the normal and orthogonal tangent vectors for the triangle vertices.
	For each vertex the normal and tangent vectors are derived from all triangles
	using the vertex which results in smooth tangents across the mesh.
	In the process the triangle planes are calculated as well.
============
*/
void VPCALL idSIMD_Generic::DeriveTangents( idPlane *planes, idDrawVert *verts, const int numVerts, const int *indexes, const int numIndexes ) {
	int i;

	bool *used = (bool *)_alloca16( numVerts * sizeof( used[0] ) );
	memset( used, 0, numVerts * sizeof( used[0] ) );

	idPlane *planesPtr = planes;
	for ( i = 0; i < numIndexes; i += 3 ) {
		idDrawVert *a, *b, *c;
		unsigned int signBit;
		float d0[5], d1[5], f, area;
		idVec3 n, t0, t1;

		int v0 = indexes[i + 0];
		int v1 = indexes[i + 1];
		int v2 = indexes[i + 2];

		a = verts + v0;
		b = verts + v1;
		c = verts + v2;

		d0[0] = b->xyz[0] - a->xyz[0];
		d0[1] = b->xyz[1] - a->xyz[1];
		d0[2] = b->xyz[2] - a->xyz[2];
		d0[3] = b->st[0] - a->st[0];
		d0[4] = b->st[1] - a->st[1];

		d1[0] = c->xyz[0] - a->xyz[0];
		d1[1] = c->xyz[1] - a->xyz[1];
		d1[2] = c->xyz[2] - a->xyz[2];
		d1[3] = c->st[0] - a->st[0];
		d1[4] = c->st[1] - a->st[1];

		// normal
		n[0] = d1[1] * d0[2] - d1[2] * d0[1];
		n[1] = d1[2] * d0[0] - d1[0] * d0[2];
		n[2] = d1[0] * d0[1] - d1[1] * d0[0];

		f = idMath::RSqrt( n.x * n.x + n.y * n.y + n.z * n.z );

		n.x *= f;
		n.y *= f;
		n.z *= f;

		planesPtr->SetNormal( n );
		planesPtr->FitThroughPoint( a->xyz );
		planesPtr++;

		// area sign bit
		area = d0[3] * d1[4] - d0[4] * d1[3];
		signBit = ( *(unsigned int *)&area ) & ( 1 << 31 );

		// first tangent
		t0[0] = d0[0] * d1[4] - d0[4] * d1[0];
		t0[1] = d0[1] * d1[4] - d0[4] * d1[1];
		t0[2] = d0[2] * d1[4] - d0[4] * d1[2];

		f = idMath::RSqrt( t0.x * t0.x + t0.y * t0.y + t0.z * t0.z );
		*(unsigned int *)&f ^= signBit;

		t0.x *= f;
		t0.y *= f;
		t0.z *= f;

		// second tangent
		t1[0] = d0[3] * d1[0] - d0[0] * d1[3];
		t1[1] = d0[3] * d1[1] - d0[1] * d1[3];
		t1[2] = d0[3] * d1[2] - d0[2] * d1[3];

		f = idMath::RSqrt( t1.x * t1.x + t1.y * t1.y + t1.z * t1.z );
		*(unsigned int *)&f ^= signBit;

		t1.x *= f;
		t1.y *= f;
		t1.z *= f;

		if ( used[v0] ) {
			a->normal += n;
			a->tangents[0] += t0;
			a->tangents[1] += t1;
		} else {
			a->normal = n;
			a->tangents[0] = t0;
			a->tangents[1] = t1;
			used[v0] = true;
		}

		if ( used[v1] ) {
			b->normal += n;
			b->tangents[0] += t0;
			b->tangents[1] += t1;
		} else {
			b->normal = n;
			b->tangents[0] = t0;
			b->tangents[1] = t1;
			used[v1] = true;
		}

		if ( used[v2] ) {
			c->normal += n;
			c->tangents[0] += t0;
			c->tangents[1] += t1;
		} else {
			c->normal = n;
			c->tangents[0] = t0;
			c->tangents[1] = t1;
			used[v2] = true;
		}
	}
}

/*
============
idSIMD_Generic::DeriveUnsmoothedTangents

	Derives the normal and orthogonal tangent vectors for the triangle vertices.
	For each vertex the normal and tangent vectors are derived from a single dominant triangle.
============
*/
#define DERIVE_UNSMOOTHED_BITANGENT

void VPCALL idSIMD_Generic::DeriveUnsmoothedTangents( idDrawVert *verts, const dominantTri_s *dominantTris, const int numVerts ) {
	int i;

	for ( i = 0; i < numVerts; i++ ) {
		idDrawVert *a, *b, *c;
#ifndef DERIVE_UNSMOOTHED_BITANGENT
		float d3, d8;
#endif
		float d0, d1, d2, d4;
		float d5, d6, d7, d9;
		float s0, s1, s2;
		float n0, n1, n2;
		float t0, t1, t2;
		float t3, t4, t5;

		const dominantTri_s &dt = dominantTris[i];

		a = verts + i;
		b = verts + dt.v2;
		c = verts + dt.v3;

		d0 = b->xyz[0] - a->xyz[0];
		d1 = b->xyz[1] - a->xyz[1];
		d2 = b->xyz[2] - a->xyz[2];
#ifndef DERIVE_UNSMOOTHED_BITANGENT
		d3 = b->st[0] - a->st[0];
#endif
		d4 = b->st[1] - a->st[1];

		d5 = c->xyz[0] - a->xyz[0];
		d6 = c->xyz[1] - a->xyz[1];
		d7 = c->xyz[2] - a->xyz[2];
#ifndef DERIVE_UNSMOOTHED_BITANGENT
		d8 = c->st[0] - a->st[0];
#endif
		d9 = c->st[1] - a->st[1];

		s0 = dt.normalizationScale[0];
		s1 = dt.normalizationScale[1];
		s2 = dt.normalizationScale[2];

		n0 = s2 * ( d6 * d2 - d7 * d1 );
		n1 = s2 * ( d7 * d0 - d5 * d2 );
		n2 = s2 * ( d5 * d1 - d6 * d0 );

		t0 = s0 * ( d0 * d9 - d4 * d5 );
		t1 = s0 * ( d1 * d9 - d4 * d6 );
		t2 = s0 * ( d2 * d9 - d4 * d7 );

#ifndef DERIVE_UNSMOOTHED_BITANGENT
		t3 = s1 * ( d3 * d5 - d0 * d8 );
		t4 = s1 * ( d3 * d6 - d1 * d8 );
		t5 = s1 * ( d3 * d7 - d2 * d8 );
#else
		t3 = s1 * ( n2 * t1 - n1 * t2 );
		t4 = s1 * ( n0 * t2 - n2 * t0 );
		t5 = s1 * ( n1 * t0 - n0 * t1 );
#endif

		a->normal[0] = n0;
		a->normal[1] = n1;
		a->normal[2] = n2;

		a->tangents[0][0] = t0;
		a->tangents[0][1] = t1;
		a->tangents[0][2] = t2;

		a->tangents[1][0] = t3;
		a->tangents[1][1] = t4;
		a->tangents[1][2] = t5;
	}
}

/*
============
idSIMD_Generic::NormalizeTangents

	Normalizes each vertex normal and projects and normalizes the
	tangent vectors onto the plane orthogonal to the vertex normal.
============
*/
void VPCALL idSIMD_Generic::NormalizeTangents( idDrawVert *verts, const int numVerts ) {

	for ( int i = 0; i < numVerts; i++ ) {
		idVec3 &v = verts[i].normal;
		float f;

		f = idMath::RSqrt( v.x * v.x + v.y * v.y + v.z * v.z );
		v.x *= f; v.y *= f; v.z *= f;

		for ( int j = 0; j < 2; j++ ) {
			idVec3 &t = verts[i].tangents[j];

			t -= ( t * v ) * v;
			f = idMath::RSqrt( t.x * t.x + t.y * t.y + t.z * t.z );
			t.x *= f; t.y *= f; t.z *= f;
		}
	}
}

/*
============
idSIMD_Generic::CreateTextureSpaceLightVectors

	Calculates light vectors in texture space for the given triangle vertices.
	For each vertex the direction towards the light origin is projected onto texture space.
	The light vectors are only calculated for the vertices referenced by the indexes.
============
*/
void VPCALL idSIMD_Generic::CreateTextureSpaceLightVectors( idVec3 *lightVectors, const idVec3 &lightOrigin, const idDrawVert *verts, const int numVerts, const int *indexes, const int numIndexes ) {

	bool *used = (bool *)_alloca16( numVerts * sizeof( used[0] ) );
	memset( used, 0, numVerts * sizeof( used[0] ) );

	for ( int i = numIndexes - 1; i >= 0; i-- ) {
		used[indexes[i]] = true;
	}

	for ( int i = 0; i < numVerts; i++ ) {
		if ( !used[i] ) {
			continue;
		}

		const idDrawVert *v = &verts[i];

		idVec3 lightDir = lightOrigin - v->xyz;

		lightVectors[i][0] = lightDir * v->tangents[0];
		lightVectors[i][1] = lightDir * v->tangents[1];
		lightVectors[i][2] = lightDir * v->normal;
	}
}

/*
============
idSIMD_Generic::CreateSpecularTextureCoords

	Calculates specular texture coordinates for the given triangle vertices.
	For each vertex the normalized direction towards the light origin is added to the
	normalized direction towards the view origin and the result is projected onto texture space.
	The texture coordinates are only calculated for the vertices referenced by the indexes.
============
*/
void VPCALL idSIMD_Generic::CreateSpecularTextureCoords( idVec4 *texCoords, const idVec3 &lightOrigin, const idVec3 &viewOrigin, const idDrawVert *verts, const int numVerts, const int *indexes, const int numIndexes ) {

	bool *used = (bool *)_alloca16( numVerts * sizeof( used[0] ) );
	memset( used, 0, numVerts * sizeof( used[0] ) );

	for ( int i = numIndexes - 1; i >= 0; i-- ) {
		used[indexes[i]] = true;
	}

	for ( int i = 0; i < numVerts; i++ ) {
		if ( !used[i] ) {
			continue;
		}

		const idDrawVert *v = &verts[i];

		idVec3 lightDir = lightOrigin - v->xyz;
		idVec3 viewDir = viewOrigin - v->xyz;

		float ilength;

		ilength = idMath::RSqrt( lightDir * lightDir );
		lightDir[0] *= ilength;
		lightDir[1] *= ilength;
		lightDir[2] *= ilength;

		ilength = idMath::RSqrt( viewDir * viewDir );
		viewDir[0] *= ilength;
		viewDir[1] *= ilength;
		viewDir[2] *= ilength;

		lightDir += viewDir;

		texCoords[i][0] = lightDir * v->tangents[0];
		texCoords[i][1] = lightDir * v->tangents[1];
		texCoords[i][2] = lightDir * v->normal;
		texCoords[i][3] = 1.0f;
	}
}

/*
============
idSIMD_Generic::CreateShadowCache
============
*/
int VPCALL idSIMD_Generic::CreateShadowCache( idVec4 *vertexCache, int *vertRemap, const idVec3 &lightOrigin, const idDrawVert *verts, const int numVerts ) {
	int outVerts = 0;

	for ( int i = 0; i < numVerts; i++ ) {
		if ( vertRemap[i] ) {
			continue;
		}
		const float *v = verts[i].xyz.ToFloatPtr();
		vertexCache[outVerts+0][0] = v[0];
		vertexCache[outVerts+0][1] = v[1];
		vertexCache[outVerts+0][2] = v[2];
		vertexCache[outVerts+0][3] = 1.0f;

		// R_SetupProjection() builds the projection matrix with a slight crunch
		// for depth, which keeps this w=0 division from rasterizing right at the
		// wrap around point and causing depth fighting with the rear caps
		vertexCache[outVerts+1][0] = v[0] - lightOrigin[0];
		vertexCache[outVerts+1][1] = v[1] - lightOrigin[1];
		vertexCache[outVerts+1][2] = v[2] - lightOrigin[2];
		vertexCache[outVerts+1][3] = 0.0f;
		vertRemap[i] = outVerts;
		outVerts += 2;
	}
	return outVerts;
}

/*
============
idSIMD_Generic::CreateVertexProgramShadowCache
============
*/
int VPCALL idSIMD_Generic::CreateVertexProgramShadowCache( idVec4 *vertexCache, const idDrawVert *verts, const int numVerts ) {
	for ( int i = 0; i < numVerts; i++ ) {
		const float *v = verts[i].xyz.ToFloatPtr();
		vertexCache[i*2+0][0] = v[0];
		vertexCache[i*2+1][0] = v[0];
		vertexCache[i*2+0][1] = v[1];
		vertexCache[i*2+1][1] = v[1];
		vertexCache[i*2+0][2] = v[2];
		vertexCache[i*2+1][2] = v[2];
		vertexCache[i*2+0][3] = 1.0f;
		vertexCache[i*2+1][3] = 0.0f;
	}
	return numVerts * 2;
}

/*
============
idSIMD_Generic::UpSamplePCMTo44kHz

  Duplicate samples for 44kHz output.
============
*/
void idSIMD_Generic::UpSamplePCMTo44kHz( float *dest, const short *src, const int numSamples, const int kHz, const int numChannels ) {
	if ( kHz == 11025 ) {
		if ( numChannels == 1 ) {
			for ( int i = 0; i < numSamples; i++ ) {
				dest[i*4+0] = dest[i*4+1] = dest[i*4+2] = dest[i*4+3] = (float) src[i+0];
			}
		} else {
			for ( int i = 0; i < numSamples; i += 2 ) {
				dest[i*4+0] = dest[i*4+2] = dest[i*4+4] = dest[i*4+6] = (float) src[i+0];
				dest[i*4+1] = dest[i*4+3] = dest[i*4+5] = dest[i*4+7] = (float) src[i+1];
			}
		}
	} else if ( kHz == 22050 ) {
		if ( numChannels == 1 ) {
			for ( int i = 0; i < numSamples; i++ ) {
				dest[i*2+0] = dest[i*2+1] = (float) src[i+0];
			}
		} else {
			for ( int i = 0; i < numSamples; i += 2 ) {
				dest[i*2+0] = dest[i*2+2] = (float) src[i+0];
				dest[i*2+1] = dest[i*2+3] = (float) src[i+1];
			}
		}
	} else if ( kHz == 44100 ) {
		for ( int i = 0; i < numSamples; i++ ) {
			dest[i] = (float) src[i];
		}
	} else {
		assert( 0 );
	}
}

/*
============
idSIMD_Generic::UpSampleOGGTo44kHz

  Duplicate samples for 44kHz output.
============
*/
void idSIMD_Generic::UpSampleOGGTo44kHz( float *dest, const float * const *ogg, const int numSamples, const int kHz, const int numChannels ) {
	if ( kHz == 11025 ) {
		if ( numChannels == 1 ) {
			for ( int i = 0; i < numSamples; i++ ) {
				dest[i*4+0] = dest[i*4+1] = dest[i*4+2] = dest[i*4+3] = ogg[0][i] * 32768.0f;
			}
		} else {
			for ( int i = 0; i < numSamples >> 1; i++ ) {
				dest[i*8+0] = dest[i*8+2] = dest[i*8+4] = dest[i*8+6] = ogg[0][i] * 32768.0f;
				dest[i*8+1] = dest[i*8+3] = dest[i*8+5] = dest[i*8+7] = ogg[1][i] * 32768.0f;
			}
		}
	} else if ( kHz == 22050 ) {
		if ( numChannels == 1 ) {
			for ( int i = 0; i < numSamples; i++ ) {
				dest[i*2+0] = dest[i*2+1] = ogg[0][i] * 32768.0f;
			}
		} else {
			for ( int i = 0; i < numSamples >> 1; i++ ) {
				dest[i*4+0] = dest[i*4+2] = ogg[0][i] * 32768.0f;
				dest[i*4+1] = dest[i*4+3] = ogg[1][i] * 32768.0f;
			}
		}
	} else if ( kHz == 44100 ) {
		if ( numChannels == 1 ) {
			for ( int i = 0; i < numSamples; i++ ) {
				dest[i*1+0] = ogg[0][i] * 32768.0f;
			}
		} else {
			for ( int i = 0; i < numSamples >> 1; i++ ) {
				dest[i*2+0] = ogg[0][i] * 32768.0f;
				dest[i*2+1] = ogg[1][i] * 32768.0f;
			}
		}
	} else {
		assert( 0 );
	}
}

/*
============
idSIMD_Generic::MixSoundTwoSpeakerMono
============
*/
void VPCALL idSIMD_Generic::MixSoundTwoSpeakerMono( float *mixBuffer, const float *samples, const int numSamples, const float lastV[2], const float currentV[2] ) {
	float sL = lastV[0];
	float sR = lastV[1];
	float incL = ( currentV[0] - lastV[0] ) / MIXBUFFER_SAMPLES;
	float incR = ( currentV[1] - lastV[1] ) / MIXBUFFER_SAMPLES;

	assert( numSamples == MIXBUFFER_SAMPLES );

	for( int j = 0; j < MIXBUFFER_SAMPLES; j++ ) {
		mixBuffer[j*2+0] += samples[j] * sL;
		mixBuffer[j*2+1] += samples[j] * sR;
		sL += incL;
		sR += incR;
	}
}

/*
============
idSIMD_Generic::MixSoundTwoSpeakerStereo
============
*/
void VPCALL idSIMD_Generic::MixSoundTwoSpeakerStereo( float *mixBuffer, const float *samples, const int numSamples, const float lastV[2], const float currentV[2] ) {
	float sL = lastV[0];
	float sR = lastV[1];
	float incL = ( currentV[0] - lastV[0] ) / MIXBUFFER_SAMPLES;
	float incR = ( currentV[1] - lastV[1] ) / MIXBUFFER_SAMPLES;

	assert( numSamples == MIXBUFFER_SAMPLES );

	for( int j = 0; j < MIXBUFFER_SAMPLES; j++ ) {
		mixBuffer[j*2+0] += samples[j*2+0] * sL;
		mixBuffer[j*2+1] += samples[j*2+1] * sR;
		sL += incL;
		sR += incR;
	}
}

/*
============
idSIMD_Generic::MixSoundSixSpeakerMono
============
*/
void VPCALL idSIMD_Generic::MixSoundSixSpeakerMono( float *mixBuffer, const float *samples, const int numSamples, const float lastV[6], const float currentV[6] ) {
	float sL0 = lastV[0];
	float sL1 = lastV[1];
	float sL2 = lastV[2];
	float sL3 = lastV[3];
	float sL4 = lastV[4];
	float sL5 = lastV[5];

	float incL0 = ( currentV[0] - lastV[0] ) / MIXBUFFER_SAMPLES;
	float incL1 = ( currentV[1] - lastV[1] ) / MIXBUFFER_SAMPLES;
	float incL2 = ( currentV[2] - lastV[2] ) / MIXBUFFER_SAMPLES;
	float incL3 = ( currentV[3] - lastV[3] ) / MIXBUFFER_SAMPLES;
	float incL4 = ( currentV[4] - lastV[4] ) / MIXBUFFER_SAMPLES;
	float incL5 = ( currentV[5] - lastV[5] ) / MIXBUFFER_SAMPLES;

	assert( numSamples == MIXBUFFER_SAMPLES );

	for( int i = 0; i < MIXBUFFER_SAMPLES; i++ ) {
		mixBuffer[i*6+0] += samples[i] * sL0;
		mixBuffer[i*6+1] += samples[i] * sL1;
		mixBuffer[i*6+2] += samples[i] * sL2;
		mixBuffer[i*6+3] += samples[i] * sL3;
		mixBuffer[i*6+4] += samples[i] * sL4;
		mixBuffer[i*6+5] += samples[i] * sL5;
		sL0 += incL0;
		sL1 += incL1;
		sL2 += incL2;
		sL3 += incL3;
		sL4 += incL4;
		sL5 += incL5;
	}
}

/*
============
idSIMD_Generic::MixSoundSixSpeakerStereo
============
*/
void VPCALL idSIMD_Generic::MixSoundSixSpeakerStereo( float *mixBuffer, const float *samples, const int numSamples, const float lastV[6], const float currentV[6] ) {
	float sL0 = lastV[0];
	float sL1 = lastV[1];
	float sL2 = lastV[2];
	float sL3 = lastV[3];
	float sL4 = lastV[4];
	float sL5 = lastV[5];

	float incL0 = ( currentV[0] - lastV[0] ) / MIXBUFFER_SAMPLES;
	float incL1 = ( currentV[1] - lastV[1] ) / MIXBUFFER_SAMPLES;
	float incL2 = ( currentV[2] - lastV[2] ) / MIXBUFFER_SAMPLES;
	float incL3 = ( currentV[3] - lastV[3] ) / MIXBUFFER_SAMPLES;
	float incL4 = ( currentV[4] - lastV[4] ) / MIXBUFFER_SAMPLES;
	float incL5 = ( currentV[5] - lastV[5] ) / MIXBUFFER_SAMPLES;

	assert( numSamples == MIXBUFFER_SAMPLES );

	for( int i = 0; i < MIXBUFFER_SAMPLES; i++ ) {
		mixBuffer[i*6+0] += samples[i*2+0] * sL0;
		mixBuffer[i*6+1] += samples[i*2+1] * sL1;
		mixBuffer[i*6+2] += samples[i*2+0] * sL2;
		mixBuffer[i*6+3] += samples[i*2+0] * sL3;
		mixBuffer[i*6+4] += samples[i*2+0] * sL4;
		mixBuffer[i*6+5] += samples[i*2+1] * sL5;
		sL0 += incL0;
		sL1 += incL1;
		sL2 += incL2;
		sL3 += incL3;
		sL4 += incL4;
		sL5 += incL5;
	}
}

/*
============
idSIMD_Generic::MixedSoundToSamples
============
*/
void VPCALL idSIMD_Generic::MixedSoundToSamples( short *samples, const float *mixBuffer, const int numSamples ) {

	for ( int i = 0; i < numSamples; i++ ) {
		if ( mixBuffer[i] <= -32768.0f ) {
			samples[i] = -32768;
		} else if ( mixBuffer[i] >= 32767.0f ) {
			samples[i] = 32767;
		} else {
			samples[i] = (short) mixBuffer[i];
		}
	}
}