/* =========================================================================== Doom 3 BFG Edition GPL Source Code Copyright (C) 1993-2012 id Software LLC, a ZeniMax Media company. This file is part of the Doom 3 BFG Edition GPL Source Code ("Doom 3 BFG Edition Source Code"). Doom 3 BFG Edition 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 BFG Edition 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 BFG Edition Source Code. If not, see . 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. 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. =========================================================================== */ #ifndef __MATH_VECX_H__ #define __MATH_VECX_H__ /* =============================================================================== idVecX - arbitrary sized vector The vector lives on 16 byte aligned and 16 byte padded memory. NOTE: due to the temporary memory pool idVecX cannot be used by multiple threads =============================================================================== */ #define VECX_MAX_TEMP 1024 #define VECX_QUAD( x ) ( ( ( ( x ) + 3 ) & ~3 ) * sizeof( float ) ) #define VECX_CLEAREND() int s = size; while( s < ( ( s + 3) & ~3 ) ) { p[s++] = 0.0f; } #define VECX_ALLOCA( n ) ( (float *) _alloca16( VECX_QUAD( n ) ) ) #define VECX_SIMD class idVecX { friend class idMatX; public: ID_INLINE idVecX(); ID_INLINE explicit idVecX( int length ); ID_INLINE explicit idVecX( int length, float *data ); ID_INLINE ~idVecX(); ID_INLINE float Get( int index ) const; ID_INLINE float & Get( int index ); ID_INLINE float operator[]( const int index ) const; ID_INLINE float & operator[]( const int index ); ID_INLINE idVecX operator-() const; ID_INLINE idVecX & operator=( const idVecX &a ); ID_INLINE idVecX operator*( const float a ) const; ID_INLINE idVecX operator/( const float a ) const; ID_INLINE float operator*( const idVecX &a ) const; ID_INLINE idVecX operator-( const idVecX &a ) const; ID_INLINE idVecX operator+( const idVecX &a ) const; ID_INLINE idVecX & operator*=( const float a ); ID_INLINE idVecX & operator/=( const float a ); ID_INLINE idVecX & operator+=( const idVecX &a ); ID_INLINE idVecX & operator-=( const idVecX &a ); friend ID_INLINE idVecX operator*( const float a, const idVecX &b ); ID_INLINE bool Compare( const idVecX &a ) const; // exact compare, no epsilon ID_INLINE bool Compare( const idVecX &a, const float epsilon ) const; // compare with epsilon ID_INLINE bool operator==( const idVecX &a ) const; // exact compare, no epsilon ID_INLINE bool operator!=( const idVecX &a ) const; // exact compare, no epsilon ID_INLINE void SetSize( int size ); ID_INLINE void ChangeSize( int size, bool makeZero = false ); ID_INLINE int GetSize() const { return size; } ID_INLINE void SetData( int length, float *data ); ID_INLINE void Zero(); ID_INLINE void Zero( int length ); ID_INLINE void Random( int seed, float l = 0.0f, float u = 1.0f ); ID_INLINE void Random( int length, int seed, float l = 0.0f, float u = 1.0f ); ID_INLINE void Negate(); ID_INLINE void Clamp( float min, float max ); ID_INLINE idVecX & SwapElements( int e1, int e2 ); ID_INLINE float Length() const; ID_INLINE float LengthSqr() const; ID_INLINE idVecX Normalize() const; ID_INLINE float NormalizeSelf(); ID_INLINE int GetDimension() const; ID_INLINE void AddScaleAdd( const float scale, const idVecX & v0, const idVecX & v1 ); ID_INLINE const idVec3 & SubVec3( int index ) const; ID_INLINE idVec3 & SubVec3( int index ); ID_INLINE const idVec6 & SubVec6( int index = 0 ) const; ID_INLINE idVec6 & SubVec6( int index = 0 ); ID_INLINE const float * ToFloatPtr() const; ID_INLINE float * ToFloatPtr(); const char * ToString( int precision = 2 ) const; private: int size; // size of the vector int alloced; // if -1 p points to data set with SetData float * p; // memory the vector is stored static float temp[VECX_MAX_TEMP+4]; // used to store intermediate results static float * tempPtr; // pointer to 16 byte aligned temporary memory static int tempIndex; // index into memory pool, wraps around ID_INLINE void SetTempSize( int size ); }; /* ======================== idVecX::idVecX ======================== */ ID_INLINE idVecX::idVecX() { size = alloced = 0; p = NULL; } /* ======================== idVecX::idVecX ======================== */ ID_INLINE idVecX::idVecX( int length ) { size = alloced = 0; p = NULL; SetSize( length ); } /* ======================== idVecX::idVecX ======================== */ ID_INLINE idVecX::idVecX( int length, float *data ) { size = alloced = 0; p = NULL; SetData( length, data ); } /* ======================== idVecX::~idVecX ======================== */ ID_INLINE idVecX::~idVecX() { // if not temp memory if ( p && ( p < idVecX::tempPtr || p >= idVecX::tempPtr + VECX_MAX_TEMP ) && alloced != -1 ) { Mem_Free16( p ); } } /* ======================== idVecX::Get ======================== */ ID_INLINE float idVecX::Get( int index ) const { assert( index >= 0 && index < size ); return p[index]; } /* ======================== idVecX::Get ======================== */ ID_INLINE float & idVecX::Get( int index ) { assert( index >= 0 && index < size ); return p[index]; } /* ======================== idVecX::operator[] ======================== */ ID_INLINE float idVecX::operator[]( int index ) const { return Get( index ); } /* ======================== idVecX::operator[] ======================== */ ID_INLINE float & idVecX::operator[]( int index ) { return Get( index ); } /* ======================== idVecX::operator- ======================== */ ID_INLINE idVecX idVecX::operator-() const { idVecX m; m.SetTempSize( size ); #ifdef VECX_SIMD ALIGN16( 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( m.p + i, _mm_xor_ps( _mm_load_ps( p + i ), (__m128 &) signBit[0] ) ); } #else for ( int i = 0; i < size; i++ ) { m.p[i] = -p[i]; } #endif return m; } /* ======================== idVecX::operator= ======================== */ ID_INLINE idVecX &idVecX::operator=( const idVecX &a ) { SetSize( a.size ); #ifdef VECX_SIMD for ( int i = 0; i < a.size; i += 4 ) { _mm_store_ps( p + i, _mm_load_ps( a.p + i ) ); } #else memcpy( p, a.p, a.size * sizeof( float ) ); #endif idVecX::tempIndex = 0; return *this; } /* ======================== idVecX::operator+ ======================== */ ID_INLINE idVecX idVecX::operator+( const idVecX &a ) const { idVecX m; assert( size == a.size ); m.SetTempSize( size ); #ifdef VECX_SIMD for ( int i = 0; i < size; i += 4 ) { _mm_store_ps( m.p + i, _mm_add_ps( _mm_load_ps( p + i ), _mm_load_ps( a.p + i ) ) ); } #else for ( int i = 0; i < size; i++ ) { m.p[i] = p[i] + a.p[i]; } #endif return m; } /* ======================== idVecX::operator- ======================== */ ID_INLINE idVecX idVecX::operator-( const idVecX &a ) const { idVecX m; assert( size == a.size ); m.SetTempSize( size ); #ifdef VECX_SIMD for ( int i = 0; i < size; i += 4 ) { _mm_store_ps( m.p + i, _mm_sub_ps( _mm_load_ps( p + i ), _mm_load_ps( a.p + i ) ) ); } #else for ( int i = 0; i < size; i++ ) { m.p[i] = p[i] - a.p[i]; } #endif return m; } /* ======================== idVecX::operator+= ======================== */ ID_INLINE idVecX &idVecX::operator+=( const idVecX &a ) { assert( size == a.size ); #ifdef VECX_SIMD for ( int i = 0; i < size; i += 4 ) { _mm_store_ps( p + i, _mm_add_ps( _mm_load_ps( p + i ), _mm_load_ps( a.p + i ) ) ); } #else for ( int i = 0; i < size; i++ ) { p[i] += a.p[i]; } #endif idVecX::tempIndex = 0; return *this; } /* ======================== idVecX::operator-= ======================== */ ID_INLINE idVecX &idVecX::operator-=( const idVecX &a ) { assert( size == a.size ); #ifdef VECX_SIMD for ( int i = 0; i < size; i += 4 ) { _mm_store_ps( p + i, _mm_sub_ps( _mm_load_ps( p + i ), _mm_load_ps( a.p + i ) ) ); } #else for ( int i = 0; i < size; i++ ) { p[i] -= a.p[i]; } #endif idVecX::tempIndex = 0; return *this; } /* ======================== idVecX::operator* ======================== */ ID_INLINE idVecX idVecX::operator*( const float a ) const { idVecX m; m.SetTempSize( size ); #ifdef VECX_SIMD __m128 va = _mm_load1_ps( & a ); for ( int i = 0; i < size; i += 4 ) { _mm_store_ps( m.p + i, _mm_mul_ps( _mm_load_ps( p + i ), va ) ); } #else for ( int i = 0; i < size; i++ ) { m.p[i] = p[i] * a; } #endif return m; } /* ======================== idVecX::operator*= ======================== */ ID_INLINE idVecX &idVecX::operator*=( const float a ) { #ifdef VECX_SIMD __m128 va = _mm_load1_ps( & a ); for ( int i = 0; i < size; i += 4 ) { _mm_store_ps( p + i, _mm_mul_ps( _mm_load_ps( p + i ), va ) ); } #else for ( int i = 0; i < size; i++ ) { p[i] *= a; } #endif return *this; } /* ======================== idVecX::operator/ ======================== */ ID_INLINE idVecX idVecX::operator/( const float a ) const { assert( fabs( a ) > idMath::FLT_SMALLEST_NON_DENORMAL ); return (*this) * ( 1.0f / a ); } /* ======================== idVecX::operator/= ======================== */ ID_INLINE idVecX &idVecX::operator/=( const float a ) { assert( fabs( a ) > idMath::FLT_SMALLEST_NON_DENORMAL ); (*this) *= ( 1.0f / a ); return *this; } /* ======================== operator* ======================== */ ID_INLINE idVecX operator*( const float a, const idVecX &b ) { return b * a; } /* ======================== idVecX::operator* ======================== */ ID_INLINE float idVecX::operator*( const idVecX &a ) const { assert( size == a.size ); float sum = 0.0f; for ( int i = 0; i < size; i++ ) { sum += p[i] * a.p[i]; } return sum; } /* ======================== idVecX::Compare ======================== */ ID_INLINE bool idVecX::Compare( const idVecX &a ) const { assert( size == a.size ); for ( int i = 0; i < size; i++ ) { if ( p[i] != a.p[i] ) { return false; } } return true; } /* ======================== idVecX::Compare ======================== */ ID_INLINE bool idVecX::Compare( const idVecX &a, const float epsilon ) const { assert( size == a.size ); for ( int i = 0; i < size; i++ ) { if ( idMath::Fabs( p[i] - a.p[i] ) > epsilon ) { return false; } } return true; } /* ======================== idVecX::operator== ======================== */ ID_INLINE bool idVecX::operator==( const idVecX &a ) const { return Compare( a ); } /* ======================== idVecX::operator!= ======================== */ ID_INLINE bool idVecX::operator!=( const idVecX &a ) const { return !Compare( a ); } /* ======================== idVecX::SetSize ======================== */ ID_INLINE void idVecX::SetSize( int newSize ) { //assert( p < idVecX::tempPtr || p > idVecX::tempPtr + VECX_MAX_TEMP ); if ( newSize != size || p == NULL ) { int alloc = ( newSize + 3 ) & ~3; if ( alloc > alloced && alloced != -1 ) { if ( p ) { Mem_Free16( p ); } p = (float *) Mem_Alloc16( alloc * sizeof( float ), TAG_MATH ); alloced = alloc; } size = newSize; VECX_CLEAREND(); } } /* ======================== idVecX::ChangeSize ======================== */ ID_INLINE void idVecX::ChangeSize( int newSize, bool makeZero ) { if ( newSize != size ) { int alloc = ( newSize + 3 ) & ~3; if ( alloc > alloced && alloced != -1 ) { float *oldVec = p; p = (float *) Mem_Alloc16( alloc * sizeof( float ), TAG_MATH ); alloced = alloc; if ( oldVec ) { for ( int i = 0; i < size; i++ ) { p[i] = oldVec[i]; } Mem_Free16( oldVec ); } if ( makeZero ) { // zero any new elements for ( int i = size; i < newSize; i++ ) { 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(p + index * 3); } /* ======================== idVecX::SubVec3 ======================== */ ID_INLINE const idVec3 &idVecX::SubVec3( int index ) const { assert( index >= 0 && index * 3 + 3 <= size ); return *reinterpret_cast(p + index * 3); } /* ======================== idVecX::SubVec6 ======================== */ ID_INLINE idVec6 &idVecX::SubVec6( int index ) { assert( index >= 0 && index * 6 + 6 <= size ); return *reinterpret_cast(p + index * 6); } /* ======================== idVecX::SubVec6 ======================== */ ID_INLINE const idVec6 &idVecX::SubVec6( int index ) const { assert( index >= 0 && index * 6 + 6 <= size ); return *reinterpret_cast(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__