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902 lines
18 KiB
C++
902 lines
18 KiB
C++
/*
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===========================================================================
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Doom 3 BFG Edition GPL Source Code
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Copyright (C) 1993-2012 id Software LLC, a ZeniMax Media company.
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This file is part of the Doom 3 BFG Edition GPL Source Code ("Doom 3 BFG Edition Source Code").
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Doom 3 BFG Edition Source Code is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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Doom 3 BFG Edition Source Code is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with Doom 3 BFG Edition Source Code. If not, see <http://www.gnu.org/licenses/>.
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In addition, the Doom 3 BFG Edition 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 BFG Edition Source Code. If not, please request a copy in writing from id Software at the address below.
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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.
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===========================================================================
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*/
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#ifndef __MATH_VECX_H__
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#define __MATH_VECX_H__
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/*
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===============================================================================
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idVecX - arbitrary sized vector
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The vector lives on 16 byte aligned and 16 byte padded memory.
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NOTE: due to the temporary memory pool idVecX cannot be used by multiple threads
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===============================================================================
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*/
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#define VECX_MAX_TEMP 1024
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#define VECX_QUAD( x ) ( ( ( ( x ) + 3 ) & ~3 ) * sizeof( float ) )
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#define VECX_CLEAREND() int s = size; while( s < ( ( s + 3) & ~3 ) ) { p[s++] = 0.0f; }
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#define VECX_ALLOCA( n ) ( (float *) _alloca16( VECX_QUAD( n ) ) )
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#define VECX_SIMD
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class idVecX
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{
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friend class idMatX;
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public:
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ID_INLINE idVecX();
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ID_INLINE explicit idVecX( int length );
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ID_INLINE explicit idVecX( int length, float* data );
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ID_INLINE ~idVecX();
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ID_INLINE float Get( int index ) const;
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ID_INLINE float& Get( int index );
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ID_INLINE float operator[]( const int index ) const;
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ID_INLINE float& operator[]( const int index );
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ID_INLINE idVecX operator-() const;
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ID_INLINE idVecX& operator=( const idVecX& a );
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ID_INLINE idVecX operator*( const float a ) const;
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ID_INLINE idVecX operator/( const float a ) const;
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ID_INLINE float operator*( const idVecX& a ) const;
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ID_INLINE idVecX operator-( const idVecX& a ) const;
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ID_INLINE idVecX operator+( const idVecX& a ) const;
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ID_INLINE idVecX& operator*=( const float a );
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ID_INLINE idVecX& operator/=( const float a );
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ID_INLINE idVecX& operator+=( const idVecX& a );
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ID_INLINE idVecX& operator-=( const idVecX& a );
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friend ID_INLINE idVecX operator*( const float a, const idVecX& b );
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ID_INLINE bool Compare( const idVecX& a ) const; // exact compare, no epsilon
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ID_INLINE bool Compare( const idVecX& a, const float epsilon ) const; // compare with epsilon
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ID_INLINE bool operator==( const idVecX& a ) const; // exact compare, no epsilon
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ID_INLINE bool operator!=( const idVecX& a ) const; // exact compare, no epsilon
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ID_INLINE void SetSize( int size );
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ID_INLINE void ChangeSize( int size, bool makeZero = false );
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ID_INLINE int GetSize() const
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{
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return size;
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}
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ID_INLINE void SetData( int length, float* data );
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ID_INLINE void Zero();
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ID_INLINE void Zero( int length );
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ID_INLINE void Random( int seed, float l = 0.0f, float u = 1.0f );
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ID_INLINE void Random( int length, int seed, float l = 0.0f, float u = 1.0f );
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ID_INLINE void Negate();
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ID_INLINE void Clamp( float min, float max );
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ID_INLINE idVecX& SwapElements( int e1, int e2 );
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ID_INLINE float Length() const;
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ID_INLINE float LengthSqr() const;
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ID_INLINE idVecX Normalize() const;
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ID_INLINE float NormalizeSelf();
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ID_INLINE int GetDimension() const;
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ID_INLINE void AddScaleAdd( const float scale, const idVecX& v0, const idVecX& v1 );
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ID_INLINE const idVec3& SubVec3( int index ) const;
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ID_INLINE idVec3& SubVec3( int index );
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ID_INLINE const idVec6& SubVec6( int index = 0 ) const;
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ID_INLINE idVec6& SubVec6( int index = 0 );
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ID_INLINE const float* ToFloatPtr() const;
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ID_INLINE float* ToFloatPtr();
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const char* ToString( int precision = 2 ) const;
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private:
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int size; // size of the vector
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int alloced; // if -1 p points to data set with SetData
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float* p; // memory the vector is stored
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static float temp[VECX_MAX_TEMP + 4]; // used to store intermediate results
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static float* tempPtr; // pointer to 16 byte aligned temporary memory
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static int tempIndex; // index into memory pool, wraps around
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ID_INLINE void SetTempSize( int size );
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};
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/*
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========================
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idVecX::idVecX
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========================
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*/
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ID_INLINE idVecX::idVecX()
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{
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size = alloced = 0;
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p = NULL;
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}
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/*
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========================
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idVecX::idVecX
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========================
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*/
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ID_INLINE idVecX::idVecX( int length )
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{
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size = alloced = 0;
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p = NULL;
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SetSize( length );
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}
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/*
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========================
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idVecX::idVecX
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========================
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*/
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ID_INLINE idVecX::idVecX( int length, float* data )
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{
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size = alloced = 0;
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p = NULL;
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SetData( length, data );
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}
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/*
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========================
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idVecX::~idVecX
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========================
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*/
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ID_INLINE idVecX::~idVecX()
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{
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// if not temp memory
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if( p && ( p < idVecX::tempPtr || p >= idVecX::tempPtr + VECX_MAX_TEMP ) && alloced != -1 )
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{
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Mem_Free16( p );
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}
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}
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/*
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========================
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idVecX::Get
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========================
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*/
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ID_INLINE float idVecX::Get( int index ) const
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{
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assert( index >= 0 && index < size );
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return p[index];
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}
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/*
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========================
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idVecX::Get
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========================
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*/
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ID_INLINE float& idVecX::Get( int index )
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{
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assert( index >= 0 && index < size );
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return p[index];
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}
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/*
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========================
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idVecX::operator[]
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========================
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*/
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ID_INLINE float idVecX::operator[]( int index ) const
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{
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return Get( index );
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}
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/*
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========================
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idVecX::operator[]
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========================
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*/
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ID_INLINE float& idVecX::operator[]( int index )
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{
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return Get( index );
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}
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/*
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========================
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idVecX::operator-
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========================
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*/
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ID_INLINE idVecX idVecX::operator-() const
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{
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idVecX m;
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m.SetTempSize( size );
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#ifdef VECX_SIMD
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ALIGN16( unsigned int signBit[4] ) = { IEEE_FLT_SIGN_MASK, IEEE_FLT_SIGN_MASK, IEEE_FLT_SIGN_MASK, IEEE_FLT_SIGN_MASK };
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for( int i = 0; i < size; i += 4 )
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{
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_mm_store_ps( m.p + i, _mm_xor_ps( _mm_load_ps( p + i ), ( __m128& ) signBit[0] ) );
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}
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#else
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for( int i = 0; i < size; i++ )
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{
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m.p[i] = -p[i];
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}
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#endif
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return m;
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}
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/*
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========================
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idVecX::operator=
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========================
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*/
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ID_INLINE idVecX& idVecX::operator=( const idVecX& a )
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{
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SetSize( a.size );
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#ifdef VECX_SIMD
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for( int i = 0; i < a.size; i += 4 )
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{
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_mm_store_ps( p + i, _mm_load_ps( a.p + i ) );
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}
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#else
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memcpy( p, a.p, a.size * sizeof( float ) );
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#endif
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idVecX::tempIndex = 0;
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return *this;
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}
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/*
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========================
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idVecX::operator+
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========================
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*/
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ID_INLINE idVecX idVecX::operator+( const idVecX& a ) const
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{
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idVecX m;
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assert( size == a.size );
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m.SetTempSize( size );
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#ifdef VECX_SIMD
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for( int i = 0; i < size; i += 4 )
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{
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_mm_store_ps( m.p + i, _mm_add_ps( _mm_load_ps( p + i ), _mm_load_ps( a.p + i ) ) );
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}
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#else
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for( int i = 0; i < size; i++ )
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{
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m.p[i] = p[i] + a.p[i];
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}
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#endif
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return m;
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}
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/*
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========================
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idVecX::operator-
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========================
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*/
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ID_INLINE idVecX idVecX::operator-( const idVecX& a ) const
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{
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idVecX m;
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assert( size == a.size );
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m.SetTempSize( size );
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#ifdef VECX_SIMD
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for( int i = 0; i < size; i += 4 )
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{
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_mm_store_ps( m.p + i, _mm_sub_ps( _mm_load_ps( p + i ), _mm_load_ps( a.p + i ) ) );
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}
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#else
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for( int i = 0; i < size; i++ )
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{
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m.p[i] = p[i] - a.p[i];
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}
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#endif
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return m;
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}
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/*
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========================
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idVecX::operator+=
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========================
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*/
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ID_INLINE idVecX& idVecX::operator+=( const idVecX& a )
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{
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assert( size == a.size );
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#ifdef VECX_SIMD
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for( int i = 0; i < size; i += 4 )
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{
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_mm_store_ps( p + i, _mm_add_ps( _mm_load_ps( p + i ), _mm_load_ps( a.p + i ) ) );
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}
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#else
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for( int i = 0; i < size; i++ )
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{
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p[i] += a.p[i];
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}
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#endif
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idVecX::tempIndex = 0;
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return *this;
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}
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/*
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========================
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idVecX::operator-=
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========================
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*/
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ID_INLINE idVecX& idVecX::operator-=( const idVecX& a )
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{
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assert( size == a.size );
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#ifdef VECX_SIMD
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for( int i = 0; i < size; i += 4 )
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{
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_mm_store_ps( p + i, _mm_sub_ps( _mm_load_ps( p + i ), _mm_load_ps( a.p + i ) ) );
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}
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#else
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for( int i = 0; i < size; i++ )
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{
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p[i] -= a.p[i];
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}
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#endif
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idVecX::tempIndex = 0;
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return *this;
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}
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/*
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========================
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idVecX::operator*
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========================
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*/
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ID_INLINE idVecX idVecX::operator*( const float a ) const
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{
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idVecX m;
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m.SetTempSize( size );
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#ifdef VECX_SIMD
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__m128 va = _mm_load1_ps( & a );
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for( int i = 0; i < size; i += 4 )
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{
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_mm_store_ps( m.p + i, _mm_mul_ps( _mm_load_ps( p + i ), va ) );
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}
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#else
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for( int i = 0; i < size; i++ )
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{
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m.p[i] = p[i] * a;
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}
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#endif
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return m;
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}
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/*
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========================
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idVecX::operator*=
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========================
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*/
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ID_INLINE idVecX& idVecX::operator*=( const float a )
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{
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#ifdef VECX_SIMD
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__m128 va = _mm_load1_ps( & a );
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for( int i = 0; i < size; i += 4 )
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{
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_mm_store_ps( p + i, _mm_mul_ps( _mm_load_ps( p + i ), va ) );
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}
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#else
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for( int i = 0; i < size; i++ )
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{
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p[i] *= a;
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}
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#endif
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return *this;
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}
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/*
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========================
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idVecX::operator/
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========================
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*/
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ID_INLINE idVecX idVecX::operator/( const float a ) const
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{
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assert( fabs( a ) > idMath::FLT_SMALLEST_NON_DENORMAL );
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return ( *this ) * ( 1.0f / a );
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}
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/*
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========================
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idVecX::operator/=
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========================
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*/
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ID_INLINE idVecX& idVecX::operator/=( const float a )
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{
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assert( fabs( a ) > idMath::FLT_SMALLEST_NON_DENORMAL );
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( *this ) *= ( 1.0f / a );
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return *this;
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}
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/*
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========================
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operator*
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========================
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*/
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ID_INLINE idVecX operator*( const float a, const idVecX& b )
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{
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return b * a;
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}
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/*
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========================
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idVecX::operator*
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========================
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*/
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ID_INLINE float idVecX::operator*( const idVecX& a ) const
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{
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assert( size == a.size );
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float sum = 0.0f;
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for( int i = 0; i < size; i++ )
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{
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sum += p[i] * a.p[i];
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}
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return sum;
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}
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/*
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========================
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idVecX::Compare
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========================
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*/
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ID_INLINE bool idVecX::Compare( const idVecX& a ) const
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{
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assert( size == a.size );
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for( int i = 0; i < size; i++ )
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{
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if( p[i] != a.p[i] )
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{
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return false;
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}
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}
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return true;
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}
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/*
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========================
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idVecX::Compare
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========================
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*/
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ID_INLINE bool idVecX::Compare( const idVecX& a, const float epsilon ) const
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{
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assert( size == a.size );
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for( int i = 0; i < size; i++ )
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{
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if( idMath::Fabs( p[i] - a.p[i] ) > epsilon )
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{
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return false;
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}
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}
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return true;
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}
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/*
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========================
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idVecX::operator==
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========================
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*/
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ID_INLINE bool idVecX::operator==( const idVecX& a ) const
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{
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return Compare( a );
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}
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/*
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========================
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idVecX::operator!=
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========================
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*/
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ID_INLINE bool idVecX::operator!=( const idVecX& a ) const
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{
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return !Compare( a );
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}
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/*
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========================
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idVecX::SetSize
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========================
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*/
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ID_INLINE void idVecX::SetSize( int newSize )
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{
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//assert( p < idVecX::tempPtr || p > idVecX::tempPtr + VECX_MAX_TEMP );
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if( newSize != size || p == NULL )
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{
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int alloc = ( newSize + 3 ) & ~3;
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if( alloc > alloced && alloced != -1 )
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{
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if( p )
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{
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Mem_Free16( p );
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}
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p = ( float* ) Mem_Alloc16( alloc * sizeof( float ), TAG_MATH );
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alloced = alloc;
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}
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size = newSize;
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VECX_CLEAREND();
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}
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}
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/*
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========================
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idVecX::ChangeSize
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========================
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*/
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ID_INLINE void idVecX::ChangeSize( int newSize, bool makeZero )
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{
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if( newSize != size )
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{
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int alloc = ( newSize + 3 ) & ~3;
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if( alloc > alloced && alloced != -1 )
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{
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float* oldVec = p;
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p = ( float* ) Mem_Alloc16( alloc * sizeof( float ), TAG_MATH );
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alloced = alloc;
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if( oldVec )
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{
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for( int i = 0; i < size; i++ )
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{
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p[i] = oldVec[i];
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}
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Mem_Free16( oldVec );
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}
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if( makeZero )
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{
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// zero any new elements
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for( int i = size; i < newSize; i++ )
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{
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p[i] = 0.0f;
|
|
}
|
|
}
|
|
}
|
|
size = newSize;
|
|
VECX_CLEAREND();
|
|
}
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::SetTempSize
|
|
========================
|
|
*/
|
|
ID_INLINE void idVecX::SetTempSize( int newSize )
|
|
{
|
|
size = newSize;
|
|
alloced = ( newSize + 3 ) & ~3;
|
|
assert( alloced < VECX_MAX_TEMP );
|
|
if( idVecX::tempIndex + alloced > VECX_MAX_TEMP )
|
|
{
|
|
idVecX::tempIndex = 0;
|
|
}
|
|
p = idVecX::tempPtr + idVecX::tempIndex;
|
|
idVecX::tempIndex += alloced;
|
|
VECX_CLEAREND();
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::SetData
|
|
========================
|
|
*/
|
|
ID_INLINE void idVecX::SetData( int length, float* data )
|
|
{
|
|
if( p != NULL && ( p < idVecX::tempPtr || p >= idVecX::tempPtr + VECX_MAX_TEMP ) && alloced != -1 )
|
|
{
|
|
Mem_Free16( p );
|
|
}
|
|
assert_16_byte_aligned( data ); // data must be 16 byte aligned
|
|
p = data;
|
|
size = length;
|
|
alloced = -1;
|
|
VECX_CLEAREND();
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::Zero
|
|
========================
|
|
*/
|
|
ID_INLINE void idVecX::Zero()
|
|
{
|
|
#ifdef VECX_SIMD
|
|
for( int i = 0; i < size; i += 4 )
|
|
{
|
|
_mm_store_ps( p + i, _mm_setzero_ps() );
|
|
}
|
|
#else
|
|
memset( p, 0, size * sizeof( float ) );
|
|
#endif
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::Zero
|
|
========================
|
|
*/
|
|
ID_INLINE void idVecX::Zero( int length )
|
|
{
|
|
SetSize( length );
|
|
#ifdef VECX_SIMD
|
|
for( int i = 0; i < length; i += 4 )
|
|
{
|
|
_mm_store_ps( p + i, _mm_setzero_ps() );
|
|
}
|
|
#else
|
|
memset( p, 0, length * sizeof( float ) );
|
|
#endif
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::Random
|
|
========================
|
|
*/
|
|
ID_INLINE void idVecX::Random( int seed, float l, float u )
|
|
{
|
|
idRandom rnd( seed );
|
|
|
|
float c = u - l;
|
|
for( int i = 0; i < size; i++ )
|
|
{
|
|
p[i] = l + rnd.RandomFloat() * c;
|
|
}
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::Random
|
|
========================
|
|
*/
|
|
ID_INLINE void idVecX::Random( int length, int seed, float l, float u )
|
|
{
|
|
idRandom rnd( seed );
|
|
|
|
SetSize( length );
|
|
float c = u - l;
|
|
for( int i = 0; i < size; i++ )
|
|
{
|
|
p[i] = l + rnd.RandomFloat() * c;
|
|
}
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::Negate
|
|
========================
|
|
*/
|
|
ID_INLINE void idVecX::Negate()
|
|
{
|
|
#ifdef VECX_SIMD
|
|
ALIGN16( const unsigned int signBit[4] ) = { IEEE_FLT_SIGN_MASK, IEEE_FLT_SIGN_MASK, IEEE_FLT_SIGN_MASK, IEEE_FLT_SIGN_MASK };
|
|
for( int i = 0; i < size; i += 4 )
|
|
{
|
|
_mm_store_ps( p + i, _mm_xor_ps( _mm_load_ps( p + i ), ( __m128& ) signBit[0] ) );
|
|
}
|
|
#else
|
|
for( int i = 0; i < size; i++ )
|
|
{
|
|
p[i] = -p[i];
|
|
}
|
|
#endif
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::Clamp
|
|
========================
|
|
*/
|
|
ID_INLINE void idVecX::Clamp( float min, float max )
|
|
{
|
|
for( int i = 0; i < size; i++ )
|
|
{
|
|
if( p[i] < min )
|
|
{
|
|
p[i] = min;
|
|
}
|
|
else if( p[i] > max )
|
|
{
|
|
p[i] = max;
|
|
}
|
|
}
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::SwapElements
|
|
========================
|
|
*/
|
|
ID_INLINE idVecX& idVecX::SwapElements( int e1, int e2 )
|
|
{
|
|
float tmp;
|
|
tmp = p[e1];
|
|
p[e1] = p[e2];
|
|
p[e2] = tmp;
|
|
return *this;
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::Length
|
|
========================
|
|
*/
|
|
ID_INLINE float idVecX::Length() const
|
|
{
|
|
float sum = 0.0f;
|
|
for( int i = 0; i < size; i++ )
|
|
{
|
|
sum += p[i] * p[i];
|
|
}
|
|
return idMath::Sqrt( sum );
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::LengthSqr
|
|
========================
|
|
*/
|
|
ID_INLINE float idVecX::LengthSqr() const
|
|
{
|
|
float sum = 0.0f;
|
|
for( int i = 0; i < size; i++ )
|
|
{
|
|
sum += p[i] * p[i];
|
|
}
|
|
return sum;
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::Normalize
|
|
========================
|
|
*/
|
|
ID_INLINE idVecX idVecX::Normalize() const
|
|
{
|
|
idVecX m;
|
|
|
|
m.SetTempSize( size );
|
|
float sum = 0.0f;
|
|
for( int i = 0; i < size; i++ )
|
|
{
|
|
sum += p[i] * p[i];
|
|
}
|
|
float invSqrt = idMath::InvSqrt( sum );
|
|
for( int i = 0; i < size; i++ )
|
|
{
|
|
m.p[i] = p[i] * invSqrt;
|
|
}
|
|
return m;
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::NormalizeSelf
|
|
========================
|
|
*/
|
|
ID_INLINE float idVecX::NormalizeSelf()
|
|
{
|
|
float sum = 0.0f;
|
|
for( int i = 0; i < size; i++ )
|
|
{
|
|
sum += p[i] * p[i];
|
|
}
|
|
float invSqrt = idMath::InvSqrt( sum );
|
|
for( int i = 0; i < size; i++ )
|
|
{
|
|
p[i] *= invSqrt;
|
|
}
|
|
return invSqrt * sum;
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::GetDimension
|
|
========================
|
|
*/
|
|
ID_INLINE int idVecX::GetDimension() const
|
|
{
|
|
return size;
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::SubVec3
|
|
========================
|
|
*/
|
|
ID_INLINE idVec3& idVecX::SubVec3( int index )
|
|
{
|
|
assert( index >= 0 && index * 3 + 3 <= size );
|
|
return *reinterpret_cast<idVec3*>( p + index * 3 );
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::SubVec3
|
|
========================
|
|
*/
|
|
ID_INLINE const idVec3& idVecX::SubVec3( int index ) const
|
|
{
|
|
assert( index >= 0 && index * 3 + 3 <= size );
|
|
return *reinterpret_cast<const idVec3*>( p + index * 3 );
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::SubVec6
|
|
========================
|
|
*/
|
|
ID_INLINE idVec6& idVecX::SubVec6( int index )
|
|
{
|
|
assert( index >= 0 && index * 6 + 6 <= size );
|
|
return *reinterpret_cast<idVec6*>( p + index * 6 );
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::SubVec6
|
|
========================
|
|
*/
|
|
ID_INLINE const idVec6& idVecX::SubVec6( int index ) const
|
|
{
|
|
assert( index >= 0 && index * 6 + 6 <= size );
|
|
return *reinterpret_cast<const idVec6*>( p + index * 6 );
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::ToFloatPtr
|
|
========================
|
|
*/
|
|
ID_INLINE const float* idVecX::ToFloatPtr() const
|
|
{
|
|
return p;
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::ToFloatPtr
|
|
========================
|
|
*/
|
|
ID_INLINE float* idVecX::ToFloatPtr()
|
|
{
|
|
return p;
|
|
}
|
|
|
|
/*
|
|
========================
|
|
idVecX::AddScaleAdd
|
|
========================
|
|
*/
|
|
ID_INLINE void idVecX::AddScaleAdd( const float scale, const idVecX& v0, const idVecX& v1 )
|
|
{
|
|
assert( GetSize() == v0.GetSize() );
|
|
assert( GetSize() == v1.GetSize() );
|
|
|
|
const float* v0Ptr = v0.ToFloatPtr();
|
|
const float* v1Ptr = v1.ToFloatPtr();
|
|
float* dstPtr = ToFloatPtr();
|
|
|
|
for( int i = 0; i < size; i++ )
|
|
{
|
|
dstPtr[i] += scale * ( v0Ptr[i] + v1Ptr[i] );
|
|
}
|
|
}
|
|
|
|
#endif // !__MATH_VECTORX_H__
|