text: /*
     Copyright (C) 2006, 2007 Sony Computer Entertainment Inc.
     All rights reserved.
  
     Redistribution and use in source and binary forms,
     with or without modification, are permitted provided that the
     following conditions are met:
      * Redistributions of source code must retain the above copyright
        notice, this list of conditions and the following disclaimer.
      * Redistributions in binary form must reproduce the above copyright
        notice, this list of conditions and the following disclaimer in the
        documentation and/or other materials provided with the distribution.
      * Neither the name of the Sony Computer Entertainment Inc nor the names
        of its contributors may be used to endorse or promote products derived
        from this software without specific prior written permission.
  
     THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
     AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
     LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
     CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
     SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
     INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
     CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
     ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
     POSSIBILITY OF SUCH DAMAGE.
  */
  
  #ifndef _VECTORMATH_MAT_AOS_CPP_H
  #define _VECTORMATH_MAT_AOS_CPP_H
  
  namespace Vectormath {
  namespace Aos {
  
  //-----------------------------------------------------------------------------
  // Constants
  // for shuffles, words are labeled [x,y,z,w] [a,b,c,d]
  
  #define _VECTORMATH_PERM_ZBWX ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_Z, _VECTORMATH_PERM_B, _VECTORMATH_PERM_W, _VECTORMATH_PERM_X })
  #define _VECTORMATH_PERM_XCYX ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_X, _VECTORMATH_PERM_C, _VECTORMATH_PERM_Y, _VECTORMATH_PERM_X })
  #define _VECTORMATH_PERM_XYAB ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_X, _VECTORMATH_PERM_Y, _VECTORMATH_PERM_A, _VECTORMATH_PERM_B })
  #define _VECTORMATH_PERM_ZWCD ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_Z, _VECTORMATH_PERM_W, _VECTORMATH_PERM_C, _VECTORMATH_PERM_D })
  #define _VECTORMATH_PERM_XZBX ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_X, _VECTORMATH_PERM_Z, _VECTORMATH_PERM_B, _VECTORMATH_PERM_X })     
  #define _VECTORMATH_PERM_CXXX ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_C, _VECTORMATH_PERM_X, _VECTORMATH_PERM_X, _VECTORMATH_PERM_X })
  #define _VECTORMATH_PERM_YAXX ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_Y, _VECTORMATH_PERM_A, _VECTORMATH_PERM_X, _VECTORMATH_PERM_X })
  #define _VECTORMATH_PERM_XAZC ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_X, _VECTORMATH_PERM_A, _VECTORMATH_PERM_Z, _VECTORMATH_PERM_C })
  #define _VECTORMATH_PERM_YXWZ ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_Y, _VECTORMATH_PERM_X, _VECTORMATH_PERM_W, _VECTORMATH_PERM_Z })
  #define _VECTORMATH_PERM_YBWD ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_Y, _VECTORMATH_PERM_B, _VECTORMATH_PERM_W, _VECTORMATH_PERM_D })
  #define _VECTORMATH_PERM_XYCX ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_X, _VECTORMATH_PERM_Y, _VECTORMATH_PERM_C, _VECTORMATH_PERM_X })
  #define _VECTORMATH_PERM_YCXY ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_Y, _VECTORMATH_PERM_C, _VECTORMATH_PERM_X, _VECTORMATH_PERM_Y })
  #define _VECTORMATH_PERM_CXYC ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_C, _VECTORMATH_PERM_X, _VECTORMATH_PERM_Y, _VECTORMATH_PERM_C })
  #define _VECTORMATH_PERM_ZAYX ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_Z, _VECTORMATH_PERM_A, _VECTORMATH_PERM_Y, _VECTORMATH_PERM_X })
  #define _VECTORMATH_PERM_BZXX ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_B, _VECTORMATH_PERM_Z, _VECTORMATH_PERM_X, _VECTORMATH_PERM_X })
  #define _VECTORMATH_PERM_XZYA ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_X, _VECTORMATH_PERM_Z, _VECTORMATH_PERM_Y, _VECTORMATH_PERM_A })
  #define _VECTORMATH_PERM_ZXXB ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_Z, _VECTORMATH_PERM_X, _VECTORMATH_PERM_X, _VECTORMATH_PERM_B })
  #define _VECTORMATH_PERM_YXXC ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_Y, _VECTORMATH_PERM_X, _VECTORMATH_PERM_X, _VECTORMATH_PERM_C })
  #define _VECTORMATH_PERM_BBYX ((vec_uchar16)(vec_uint4){ _VECTORMATH_PERM_B, _VECTORMATH_PERM_B, _VECTORMATH_PERM_Y, _VECTORMATH_PERM_X })
  #define _VECTORMATH_PI_OVER_2 1.570796327f
  
  //-----------------------------------------------------------------------------
  // Definitions
  
  inline Matrix3::Matrix3( const Matrix3 & mat )
  {
      mCol0 = mat.mCol0;
      mCol1 = mat.mCol1;
      mCol2 = mat.mCol2;
  }
  
  inline Matrix3::Matrix3( float scalar )
  {
      mCol0 = Vector3( scalar );
      mCol1 = Vector3( scalar );
      mCol2 = Vector3( scalar );
  }
  
  inline Matrix3::Matrix3( floatInVec scalar )
  {
      mCol0 = Vector3( scalar );
      mCol1 = Vector3( scalar );
      mCol2 = Vector3( scalar );
  }
  
  inline Matrix3::Matrix3( Quat unitQuat )
  {
      vec_float4 xyzw_2, wwww, yzxw, zxyw, yzxw_2, zxyw_2;
      vec_float4 tmp0, tmp1, tmp2, tmp3, tmp4, tmp5;
      vec_uint4 select_x = _VECTORMATH_MASK_0xF000;
      vec_uint4 select_z = _VECTORMATH_MASK_0x00F0;
      xyzw_2 = vec_add( unitQuat.get128(), unitQuat.get128() );
      wwww = vec_splat( unitQuat.get128(), 3 );
      yzxw = vec_perm( unitQuat.get128(), unitQuat.get128(), _VECTORMATH_PERM_YZXW );
      zxyw = vec_perm( unitQuat.get128(), unitQuat.get128(), _VECTORMATH_PERM_ZXYW );
      yzxw_2 = vec_perm( xyzw_2, xyzw_2, _VECTORMATH_PERM_YZXW );
      zxyw_2 = vec_perm( xyzw_2, xyzw_2, _VECTORMATH_PERM_ZXYW );
      tmp0 = vec_madd( yzxw_2, wwww, ((vec_float4){0.0f,0.0f,0.0f,0.0f}) );
      tmp1 = vec_nmsub( yzxw, yzxw_2, ((vec_float4){1.0f,1.0f,1.0f,1.0f}) );
      tmp2 = vec_madd( yzxw, xyzw_2, ((vec_float4){0.0f,0.0f,0.0f,0.0f}) );
      tmp0 = vec_madd( zxyw, xyzw_2, tmp0 );
      tmp1 = vec_nmsub( zxyw, zxyw_2, tmp1 );
      tmp2 = vec_nmsub( zxyw_2, wwww, tmp2 );
      tmp3 = vec_sel( tmp0, tmp1, select_x );
      tmp4 = vec_sel( tmp1, tmp2, select_x );
      tmp5 = vec_sel( tmp2, tmp0, select_x );
      mCol0 = Vector3( vec_sel( tmp3, tmp2, select_z ) );
      mCol1 = Vector3( vec_sel( tmp4, tmp0, select_z ) );
      mCol2 = Vector3( vec_sel( tmp5, tmp1, select_z ) );
  }
  
  inline Matrix3::Matrix3( Vector3 _col0, Vector3 _col1, Vector3 _col2 )
  {
      mCol0 = _col0;
      mCol1 = _col1;
      mCol2 = _col2;
  }
  
  inline Matrix3 & Matrix3::setCol0( Vector3 _col0 )
  {
      mCol0 = _col0;
      return *this;
  }
  
  inline Matrix3 & Matrix3::setCol1( Vector3 _col1 )
  {
      mCol1 = _col1;
      return *this;
  }
  
  inline Matrix3 & Matrix3::setCol2( Vector3 _col2 )
  {
      mCol2 = _col2;
      return *this;
  }
  
  inline Matrix3 & Matrix3::setCol( int col, Vector3 vec )
  {
      *(&mCol0 + col) = vec;
      return *this;
  }
  
  inline Matrix3 & Matrix3::setRow( int row, Vector3 vec )
  {
      mCol0.setElem( row, vec.getElem( 0 ) );
      mCol1.setElem( row, vec.getElem( 1 ) );
      mCol2.setElem( row, vec.getElem( 2 ) );
      return *this;
  }
  
  inline Matrix3 & Matrix3::setElem( int col, int row, float val )
  {
      (*this)[col].setElem(row, val);
      return *this;
  }
  
  inline Matrix3 & Matrix3::setElem( int col, int row, floatInVec val )
  {
      Vector3 tmpV3_0;
      tmpV3_0 = this->getCol( col );
      tmpV3_0.setElem( row, val );
      this->setCol( col, tmpV3_0 );
      return *this;
  }
  
  inline const floatInVec Matrix3::getElem( int col, int row ) const
  {
      return this->getCol( col ).getElem( row );
  }
  
  inline const Vector3 Matrix3::getCol0( ) const
  {
      return mCol0;
  }
  
  inline const Vector3 Matrix3::getCol1( ) const
  {
      return mCol1;
  }
  
  inline const Vector3 Matrix3::getCol2( ) const
  {
      return mCol2;
  }
  
  inline const Vector3 Matrix3::getCol( int col ) const
  {
      return *(&mCol0 + col);
  }
  
  inline const Vector3 Matrix3::getRow( int row ) const
  {
      return Vector3( mCol0.getElem( row ), mCol1.getElem( row ), mCol2.getElem( row ) );
  }
  
  inline Vector3 & Matrix3::operator []( int col )
  {
      return *(&mCol0 + col);
  }
  
  inline const Vector3 Matrix3::operator []( int col ) const
  {
      return *(&mCol0 + col);
  }
  
  inline Matrix3 & Matrix3::operator =( const Matrix3 & mat )
  {
      mCol0 = mat.mCol0;
      mCol1 = mat.mCol1;
      mCol2 = mat.mCol2;
      return *this;
  }
  
  inline const Matrix3 transpose( const Matrix3 & mat )
  {
      vec_float4 tmp0, tmp1, res0, res1, res2;
      tmp0 = vec_mergeh( mat.getCol0().get128(), mat.getCol2().get128() );
      tmp1 = vec_mergel( mat.getCol0().get128(), mat.getCol2().get128() );
      res0 = vec_mergeh( tmp0, mat.getCol1().get128() );
      res1 = vec_perm( tmp0, mat.getCol1().get128(), _VECTORMATH_PERM_ZBWX );
      res2 = vec_perm( tmp1, mat.getCol1().get128(), _VECTORMATH_PERM_XCYX );
      return Matrix3(
          Vector3( res0 ),
          Vector3( res1 ),
          Vector3( res2 )
      );
  }
  
  inline const Matrix3 inverse( const Matrix3 & mat )
  {
      vec_float4 tmp0, tmp1, tmp2, tmp3, tmp4, dot, invdet, inv0, inv1, inv2;
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      tmp2 = _vmathVfCross( mat.getCol0().get128(), mat.getCol1().get128() );
      tmp0 = _vmathVfCross( mat.getCol1().get128(), mat.getCol2().get128() );
      tmp1 = _vmathVfCross( mat.getCol2().get128(), mat.getCol0().get128() );
      dot = _vmathVfDot3( tmp2, mat.getCol2().get128() );
      dot = vec_splat( dot, 0 );
      invdet = recipf4( dot );
      tmp3 = vec_mergeh( tmp0, tmp2 );
      tmp4 = vec_mergel( tmp0, tmp2 );
      inv0 = vec_mergeh( tmp3, tmp1 );
      inv1 = vec_perm( tmp3, tmp1, _VECTORMATH_PERM_ZBWX );
      inv2 = vec_perm( tmp4, tmp1, _VECTORMATH_PERM_XCYX );
      inv0 = vec_madd( inv0, invdet, zero );
      inv1 = vec_madd( inv1, invdet, zero );
      inv2 = vec_madd( inv2, invdet, zero );
      return Matrix3(
          Vector3( inv0 ),
          Vector3( inv1 ),
          Vector3( inv2 )
      );
  }
  
  inline const floatInVec determinant( const Matrix3 & mat )
  {
      return dot( mat.getCol2(), cross( mat.getCol0(), mat.getCol1() ) );
  }
  
  inline const Matrix3 Matrix3::operator +( const Matrix3 & mat ) const
  {
      return Matrix3(
          ( mCol0 + mat.mCol0 ),
          ( mCol1 + mat.mCol1 ),
          ( mCol2 + mat.mCol2 )
      );
  }
  
  inline const Matrix3 Matrix3::operator -( const Matrix3 & mat ) const
  {
      return Matrix3(
          ( mCol0 - mat.mCol0 ),
          ( mCol1 - mat.mCol1 ),
          ( mCol2 - mat.mCol2 )
      );
  }
  
  inline Matrix3 & Matrix3::operator +=( const Matrix3 & mat )
  {
      *this = *this + mat;
      return *this;
  }
  
  inline Matrix3 & Matrix3::operator -=( const Matrix3 & mat )
  {
      *this = *this - mat;
      return *this;
  }
  
  inline const Matrix3 Matrix3::operator -( ) const
  {
      return Matrix3(
          ( -mCol0 ),
          ( -mCol1 ),
          ( -mCol2 )
      );
  }
  
  inline const Matrix3 absPerElem( const Matrix3 & mat )
  {
      return Matrix3(
          absPerElem( mat.getCol0() ),
          absPerElem( mat.getCol1() ),
          absPerElem( mat.getCol2() )
      );
  }
  
  inline const Matrix3 Matrix3::operator *( float scalar ) const
  {
      return *this * floatInVec(scalar);
  }
  
  inline const Matrix3 Matrix3::operator *( floatInVec scalar ) const
  {
      return Matrix3(
          ( mCol0 * scalar ),
          ( mCol1 * scalar ),
          ( mCol2 * scalar )
      );
  }
  
  inline Matrix3 & Matrix3::operator *=( float scalar )
  {
      return *this *= floatInVec(scalar);
  }
  
  inline Matrix3 & Matrix3::operator *=( floatInVec scalar )
  {
      *this = *this * scalar;
      return *this;
  }
  
  inline const Matrix3 operator *( float scalar, const Matrix3 & mat )
  {
      return floatInVec(scalar) * mat;
  }
  
  inline const Matrix3 operator *( floatInVec scalar, const Matrix3 & mat )
  {
      return mat * scalar;
  }
  
  inline const Vector3 Matrix3::operator *( Vector3 vec ) const
  {
      vec_float4 res;
      vec_float4 xxxx, yyyy, zzzz;
      xxxx = vec_splat( vec.get128(), 0 );
      yyyy = vec_splat( vec.get128(), 1 );
      zzzz = vec_splat( vec.get128(), 2 );
      res = vec_madd( mCol0.get128(), xxxx, ((vec_float4){0.0f,0.0f,0.0f,0.0f}) );
      res = vec_madd( mCol1.get128(), yyyy, res );
      res = vec_madd( mCol2.get128(), zzzz, res );
      return Vector3( res );
  }
  
  inline const Matrix3 Matrix3::operator *( const Matrix3 & mat ) const
  {
      return Matrix3(
          ( *this * mat.mCol0 ),
          ( *this * mat.mCol1 ),
          ( *this * mat.mCol2 )
      );
  }
  
  inline Matrix3 & Matrix3::operator *=( const Matrix3 & mat )
  {
      *this = *this * mat;
      return *this;
  }
  
  inline const Matrix3 mulPerElem( const Matrix3 & mat0, const Matrix3 & mat1 )
  {
      return Matrix3(
          mulPerElem( mat0.getCol0(), mat1.getCol0() ),
          mulPerElem( mat0.getCol1(), mat1.getCol1() ),
          mulPerElem( mat0.getCol2(), mat1.getCol2() )
      );
  }
  
  inline const Matrix3 Matrix3::identity( )
  {
      return Matrix3(
          Vector3::xAxis( ),
          Vector3::yAxis( ),
          Vector3::zAxis( )
      );
  }
  
  inline const Matrix3 Matrix3::rotationX( float radians )
  {
      return rotationX( floatInVec(radians) );
  }
  
  inline const Matrix3 Matrix3::rotationX( floatInVec radians )
  {
      vec_float4 s, c, res1, res2;
      vec_uint4 select_y, select_z;
      vec_float4 zero;
      select_y = _VECTORMATH_MASK_0x0F00;
      select_z = _VECTORMATH_MASK_0x00F0;
      zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      sincosf4( radians.get128(), &s, &c );
      res1 = vec_sel( zero, c, select_y );
      res1 = vec_sel( res1, s, select_z );
      res2 = vec_sel( zero, negatef4(s), select_y );
      res2 = vec_sel( res2, c, select_z );
      return Matrix3(
          Vector3::xAxis( ),
          Vector3( res1 ),
          Vector3( res2 )
      );
  }
  
  inline const Matrix3 Matrix3::rotationY( float radians )
  {
      return rotationY( floatInVec(radians) );
  }
  
  inline const Matrix3 Matrix3::rotationY( floatInVec radians )
  {
      vec_float4 s, c, res0, res2;
      vec_uint4 select_x, select_z;
      vec_float4 zero;
      select_x = _VECTORMATH_MASK_0xF000;
      select_z = _VECTORMATH_MASK_0x00F0;
      zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      sincosf4( radians.get128(), &s, &c );
      res0 = vec_sel( zero, c, select_x );
      res0 = vec_sel( res0, negatef4(s), select_z );
      res2 = vec_sel( zero, s, select_x );
      res2 = vec_sel( res2, c, select_z );
      return Matrix3(
          Vector3( res0 ),
          Vector3::yAxis( ),
          Vector3( res2 )
      );
  }
  
  inline const Matrix3 Matrix3::rotationZ( float radians )
  {
      return rotationZ( floatInVec(radians) );
  }
  
  inline const Matrix3 Matrix3::rotationZ( floatInVec radians )
  {
      vec_float4 s, c, res0, res1;
      vec_uint4 select_x, select_y;
      vec_float4 zero;
      select_x = _VECTORMATH_MASK_0xF000;
      select_y = _VECTORMATH_MASK_0x0F00;
      zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      sincosf4( radians.get128(), &s, &c );
      res0 = vec_sel( zero, c, select_x );
      res0 = vec_sel( res0, s, select_y );
      res1 = vec_sel( zero, negatef4(s), select_x );
      res1 = vec_sel( res1, c, select_y );
      return Matrix3(
          Vector3( res0 ),
          Vector3( res1 ),
          Vector3::zAxis( )
      );
  }
  
  inline const Matrix3 Matrix3::rotationZYX( Vector3 radiansXYZ )
  {
      vec_float4 angles, s, negS, c, X0, X1, Y0, Y1, Z0, Z1, tmp;
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      angles = Vector4( radiansXYZ, 0.0f ).get128();
      sincosf4( angles, &s, &c );
      negS = negatef4( s );
      Z0 = vec_mergel( c, s );
      Z1 = vec_mergel( negS, c );
      Z1 = vec_andc( Z1, (vec_float4)_VECTORMATH_MASK_0x000F );
      Y0 = vec_perm( negS, c, _VECTORMATH_PERM_BBYX );
      Y1 = vec_perm( c, s, _VECTORMATH_PERM_BBYX );
      X0 = vec_splat( s, 0 );
      X1 = vec_splat( c, 0 );
      tmp = vec_madd( Z0, Y1, zero );
      return Matrix3(
          Vector3( vec_madd( Z0, Y0, zero ) ),
          Vector3( vec_madd( Z1, X1, vec_madd( tmp, X0, zero ) ) ),
          Vector3( vec_nmsub( Z1, X0, vec_madd( tmp, X1, zero ) ) )
      );
  }
  
  inline const Matrix3 Matrix3::rotation( float radians, Vector3 unitVec )
  {
      return rotation( floatInVec(radians), unitVec );
  }
  
  inline const Matrix3 Matrix3::rotation( floatInVec radians, Vector3 unitVec )
  {
      vec_float4 axis, s, c, oneMinusC, axisS, negAxisS, xxxx, yyyy, zzzz, tmp0, tmp1, tmp2;
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      axis = unitVec.get128();
      sincosf4( radians.get128(), &s, &c );
      xxxx = vec_splat( axis, 0 );
      yyyy = vec_splat( axis, 1 );
      zzzz = vec_splat( axis, 2 );
      oneMinusC = vec_sub( ((vec_float4){1.0f,1.0f,1.0f,1.0f}), c );
      axisS = vec_madd( axis, s, zero );
      negAxisS = negatef4( axisS );
      tmp0 = vec_perm( axisS, negAxisS, _VECTORMATH_PERM_XZBX );
      tmp1 = vec_perm( axisS, negAxisS, _VECTORMATH_PERM_CXXX );
      tmp2 = vec_perm( axisS, negAxisS, _VECTORMATH_PERM_YAXX );
      tmp0 = vec_sel( tmp0, c, _VECTORMATH_MASK_0xF000 );
      tmp1 = vec_sel( tmp1, c, _VECTORMATH_MASK_0x0F00 );
      tmp2 = vec_sel( tmp2, c, _VECTORMATH_MASK_0x00F0 );
      return Matrix3(
          Vector3( vec_madd( vec_madd( axis, xxxx, zero ), oneMinusC, tmp0 ) ),
          Vector3( vec_madd( vec_madd( axis, yyyy, zero ), oneMinusC, tmp1 ) ),
          Vector3( vec_madd( vec_madd( axis, zzzz, zero ), oneMinusC, tmp2 ) )
      );
  }
  
  inline const Matrix3 Matrix3::rotation( Quat unitQuat )
  {
      return Matrix3( unitQuat );
  }
  
  inline const Matrix3 Matrix3::scale( Vector3 scaleVec )
  {
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      return Matrix3(
          Vector3( vec_sel( zero, scaleVec.get128(), _VECTORMATH_MASK_0xF000 ) ),
          Vector3( vec_sel( zero, scaleVec.get128(), _VECTORMATH_MASK_0x0F00 ) ),
          Vector3( vec_sel( zero, scaleVec.get128(), _VECTORMATH_MASK_0x00F0 ) )
      );
  }
  
  inline const Matrix3 appendScale( const Matrix3 & mat, Vector3 scaleVec )
  {
      return Matrix3(
          ( mat.getCol0() * scaleVec.getX( ) ),
          ( mat.getCol1() * scaleVec.getY( ) ),
          ( mat.getCol2() * scaleVec.getZ( ) )
      );
  }
  
  inline const Matrix3 prependScale( Vector3 scaleVec, const Matrix3 & mat )
  {
      return Matrix3(
          mulPerElem( mat.getCol0(), scaleVec ),
          mulPerElem( mat.getCol1(), scaleVec ),
          mulPerElem( mat.getCol2(), scaleVec )
      );
  }
  
  inline const Matrix3 select( const Matrix3 & mat0, const Matrix3 & mat1, bool select1 )
  {
      return Matrix3(
          select( mat0.getCol0(), mat1.getCol0(), select1 ),
          select( mat0.getCol1(), mat1.getCol1(), select1 ),
          select( mat0.getCol2(), mat1.getCol2(), select1 )
      );
  }
  
  inline const Matrix3 select( const Matrix3 & mat0, const Matrix3 & mat1, boolInVec select1 )
  {
      return Matrix3(
          select( mat0.getCol0(), mat1.getCol0(), select1 ),
          select( mat0.getCol1(), mat1.getCol1(), select1 ),
          select( mat0.getCol2(), mat1.getCol2(), select1 )
      );
  }
  
  #ifdef _VECTORMATH_DEBUG
  
  inline void print( const Matrix3 & mat )
  {
      print( mat.getRow( 0 ) );
      print( mat.getRow( 1 ) );
      print( mat.getRow( 2 ) );
  }
  
  inline void print( const Matrix3 & mat, const char * name )
  {
      printf("%s:\n", name);
      print( mat );
  }
  
  #endif
  
  inline Matrix4::Matrix4( const Matrix4 & mat )
  {
      mCol0 = mat.mCol0;
      mCol1 = mat.mCol1;
      mCol2 = mat.mCol2;
      mCol3 = mat.mCol3;
  }
  
  inline Matrix4::Matrix4( float scalar )
  {
      mCol0 = Vector4( scalar );
      mCol1 = Vector4( scalar );
      mCol2 = Vector4( scalar );
      mCol3 = Vector4( scalar );
  }
  
  inline Matrix4::Matrix4( floatInVec scalar )
  {
      mCol0 = Vector4( scalar );
      mCol1 = Vector4( scalar );
      mCol2 = Vector4( scalar );
      mCol3 = Vector4( scalar );
  }
  
  inline Matrix4::Matrix4( const Transform3 & mat )
  {
      mCol0 = Vector4( mat.getCol0(), 0.0f );
      mCol1 = Vector4( mat.getCol1(), 0.0f );
      mCol2 = Vector4( mat.getCol2(), 0.0f );
      mCol3 = Vector4( mat.getCol3(), 1.0f );
  }
  
  inline Matrix4::Matrix4( Vector4 _col0, Vector4 _col1, Vector4 _col2, Vector4 _col3 )
  {
      mCol0 = _col0;
      mCol1 = _col1;
      mCol2 = _col2;
      mCol3 = _col3;
  }
  
  inline Matrix4::Matrix4( const Matrix3 & mat, Vector3 translateVec )
  {
      mCol0 = Vector4( mat.getCol0(), 0.0f );
      mCol1 = Vector4( mat.getCol1(), 0.0f );
      mCol2 = Vector4( mat.getCol2(), 0.0f );
      mCol3 = Vector4( translateVec, 1.0f );
  }
  
  inline Matrix4::Matrix4( Quat unitQuat, Vector3 translateVec )
  {
      Matrix3 mat;
      mat = Matrix3( unitQuat );
      mCol0 = Vector4( mat.getCol0(), 0.0f );
      mCol1 = Vector4( mat.getCol1(), 0.0f );
      mCol2 = Vector4( mat.getCol2(), 0.0f );
      mCol3 = Vector4( translateVec, 1.0f );
  }
  
  inline Matrix4 & Matrix4::setCol0( Vector4 _col0 )
  {
      mCol0 = _col0;
      return *this;
  }
  
  inline Matrix4 & Matrix4::setCol1( Vector4 _col1 )
  {
      mCol1 = _col1;
      return *this;
  }
  
  inline Matrix4 & Matrix4::setCol2( Vector4 _col2 )
  {
      mCol2 = _col2;
      return *this;
  }
  
  inline Matrix4 & Matrix4::setCol3( Vector4 _col3 )
  {
      mCol3 = _col3;
      return *this;
  }
  
  inline Matrix4 & Matrix4::setCol( int col, Vector4 vec )
  {
      *(&mCol0 + col) = vec;
      return *this;
  }
  
  inline Matrix4 & Matrix4::setRow( int row, Vector4 vec )
  {
      mCol0.setElem( row, vec.getElem( 0 ) );
      mCol1.setElem( row, vec.getElem( 1 ) );
      mCol2.setElem( row, vec.getElem( 2 ) );
      mCol3.setElem( row, vec.getElem( 3 ) );
      return *this;
  }
  
  inline Matrix4 & Matrix4::setElem( int col, int row, float val )
  {
      (*this)[col].setElem(row, val);
      return *this;
  }
  
  inline Matrix4 & Matrix4::setElem( int col, int row, floatInVec val )
  {
      Vector4 tmpV3_0;
      tmpV3_0 = this->getCol( col );
      tmpV3_0.setElem( row, val );
      this->setCol( col, tmpV3_0 );
      return *this;
  }
  
  inline const floatInVec Matrix4::getElem( int col, int row ) const
  {
      return this->getCol( col ).getElem( row );
  }
  
  inline const Vector4 Matrix4::getCol0( ) const
  {
      return mCol0;
  }
  
  inline const Vector4 Matrix4::getCol1( ) const
  {
      return mCol1;
  }
  
  inline const Vector4 Matrix4::getCol2( ) const
  {
      return mCol2;
  }
  
  inline const Vector4 Matrix4::getCol3( ) const
  {
      return mCol3;
  }
  
  inline const Vector4 Matrix4::getCol( int col ) const
  {
      return *(&mCol0 + col);
  }
  
  inline const Vector4 Matrix4::getRow( int row ) const
  {
      return Vector4( mCol0.getElem( row ), mCol1.getElem( row ), mCol2.getElem( row ), mCol3.getElem( row ) );
  }
  
  inline Vector4 & Matrix4::operator []( int col )
  {
      return *(&mCol0 + col);
  }
  
  inline const Vector4 Matrix4::operator []( int col ) const
  {
      return *(&mCol0 + col);
  }
  
  inline Matrix4 & Matrix4::operator =( const Matrix4 & mat )
  {
      mCol0 = mat.mCol0;
      mCol1 = mat.mCol1;
      mCol2 = mat.mCol2;
      mCol3 = mat.mCol3;
      return *this;
  }
  
  inline const Matrix4 transpose( const Matrix4 & mat )
  {
      vec_float4 tmp0, tmp1, tmp2, tmp3, res0, res1, res2, res3;
      tmp0 = vec_mergeh( mat.getCol0().get128(), mat.getCol2().get128() );
      tmp1 = vec_mergeh( mat.getCol1().get128(), mat.getCol3().get128() );
      tmp2 = vec_mergel( mat.getCol0().get128(), mat.getCol2().get128() );
      tmp3 = vec_mergel( mat.getCol1().get128(), mat.getCol3().get128() );
      res0 = vec_mergeh( tmp0, tmp1 );
      res1 = vec_mergel( tmp0, tmp1 );
      res2 = vec_mergeh( tmp2, tmp3 );
      res3 = vec_mergel( tmp2, tmp3 );
      return Matrix4(
          Vector4( res0 ),
          Vector4( res1 ),
          Vector4( res2 ),
          Vector4( res3 )
      );
  }
  
  inline const Matrix4 inverse( const Matrix4 & mat )
  {
      /* function implementation based on code from STIDC SDK:           */
      /* --------------------------------------------------------------  */
      /* PLEASE DO NOT MODIFY THIS SECTION                               */
      /* This prolog section is automatically generated.                 */
      /*                                                                 */
      /* (C)Copyright                                                    */
      /* Sony Computer Entertainment, Inc.,                              */
      /* Toshiba Corporation,                                            */
      /* International Business Machines Corporation,                    */
      /* 2001,2002.                                                      */
      /* S/T/I Confidential Information                                  */
      /* --------------------------------------------------------------  */
      vector float in0, in1, in2, in3;
      vector float tmp0, tmp1, tmp2, tmp3;
      vector float cof0, cof1, cof2, cof3;
      vector float t0, t1, t2, t3;
      vector float t01, t02, t03, t12, t23;
      vector float t1r, t2r;
      vector float t01r, t02r, t03r, t12r, t23r;
      vector float t1r3, t1r3r;
      vector float det, det0, det1, det2, det3, invdet;
      vector float vzero = (vector float){0.0};
      in0 = mat.getCol0().get128();
      in1 = mat.getCol1().get128();
      in2 = mat.getCol2().get128();
      in3 = mat.getCol3().get128();
      /* Perform transform of the input matrix of the form:
       *    A B C D
       *    E F G H
       *    I J K L
       *    M N O P
       *
       * The pseudo transpose of the input matrix is trans:
       *    A E I M
       *    J N B F
       *    C G K O
       *    L P D H
       */
      tmp0 = vec_perm(in0, in1, _VECTORMATH_PERM_XAZC); /* A E C G */
      tmp1 = vec_perm(in2, in3, _VECTORMATH_PERM_XAZC); /* I M K O */
      tmp2 = vec_perm(in0, in1, _VECTORMATH_PERM_YBWD); /* B F D H */
      tmp3 = vec_perm(in2, in3, _VECTORMATH_PERM_YBWD); /* J N L P */
      t0 = vec_perm(tmp0, tmp1, _VECTORMATH_PERM_XYAB); /* A E I M */
      t1 = vec_perm(tmp3, tmp2, _VECTORMATH_PERM_XYAB); /* J N B F */
      t2 = vec_perm(tmp0, tmp1, _VECTORMATH_PERM_ZWCD); /* C G K O */
      t3 = vec_perm(tmp3, tmp2, _VECTORMATH_PERM_ZWCD); /* L P D H */
      /* Generate a cofactor matrix. The computed cofactors reside in
       * cof0, cof1, cof2, cof3.
       */
      t23 = vec_madd(t2, t3, vzero);        /* CL GP KD OH */
      t23 = vec_perm(t23, t23, _VECTORMATH_PERM_YXWZ);  /* GP CL OH KD */
      cof0 = vec_nmsub(t1, t23, vzero);           /* -(JGP NCL FOH BKD) */
      cof1 = vec_nmsub(t0, t23, vzero);           /* -(AGP ECL IOH MKD) */
      t23r = vec_sld(t23, t23, 8);                /* OH KD GP CL */
      cof0 = vec_madd(t1, t23r, cof0);            /* JOH NKD BGP FCL + cof0 */
      cof1 = vec_madd(t0, t23r, cof1);            /* AOH EKD IGP MCL + cof1 */
      cof1 = vec_sld(cof1, cof1, 8);        /* IGP MCL AOH EKD - IOH MKD AGP ECL */
      t12 = vec_madd(t1, t2, vzero);        /* JC NG BK FO */
      t12 = vec_perm(t12, t12, _VECTORMATH_PERM_YXWZ);  /* NG JC FO BK */
      cof0 = vec_madd(t3, t12, cof0);       /* LNG PJC DFO HBK + cof0 */
      cof3 = vec_madd(t0, t12, vzero);            /* ANG EJC IFO MBK */
      t12r = vec_sld(t12, t12, 8);                /* FO BK NG JC */
      cof0 = vec_nmsub(t3, t12r, cof0);           /* cof0 - LFO PBK DNG HJC */
      cof3 = vec_nmsub(t0, t12r, cof3);           /* cof3 - AFO EBK ING MJC */
      cof3 = vec_sld(cof3, cof3, 8);        /* ING MJC AFO EBK - IFO MBK ANG EJC */
      t1r = vec_sld(t1, t1, 8);             /* B F J N */
      t2r = vec_sld(t2, t2, 8);             /* K O C G */
      t1r3 = vec_madd(t1r, t3, vzero);            /* BL FP JD NH */
      t1r3 = vec_perm(t1r3, t1r3, _VECTORMATH_PERM_YXWZ);     /* FP BL NH JD */
      cof0 = vec_madd(t2r, t1r3, cof0);           /* KFP OBL CNH GJD + cof0 */
      cof2 = vec_madd(t0, t1r3, vzero);           /* AFP EBL INH MJD */
      t1r3r = vec_sld(t1r3, t1r3, 8);       /* NH JD FP BL */
      cof0 = vec_nmsub(t2r, t1r3r, cof0);         /* cof0 - KNH OJD CFP GBL */
      cof2 = vec_nmsub(t0, t1r3r, cof2);          /* cof2 - ANH EJD IFP MBL */
      cof2 = vec_sld(cof2, cof2, 8);        /* IFP MBL ANH EJD - INH MJD AFP EBL */
      t01 = vec_madd(t0, t1, vzero);        /* AJ EN IB MF */
      t01 = vec_perm(t01, t01, _VECTORMATH_PERM_YXWZ);  /* EN AJ MF IB */
      cof2 = vec_nmsub(t3, t01, cof2);            /* cof2 - LEN PAJ DMF HIB */
      cof3 = vec_madd(t2r, t01, cof3);            /* KEN OAJ CMF GIB + cof3 */ 
      t01r = vec_sld(t01, t01, 8);                /* MF IB EN AJ */
      cof2 = vec_madd(t3, t01r, cof2);            /* LMF PIB DEN HAJ + cof2 */
      cof3 = vec_nmsub(t2r, t01r, cof3);          /* cof3 - KMF OIB CEN GAJ */
      t03 = vec_madd(t0, t3, vzero);        /* AL EP ID MH */
      t03 = vec_perm(t03, t03, _VECTORMATH_PERM_YXWZ);  /* EP AL MH ID */
      cof1 = vec_nmsub(t2r, t03, cof1);           /* cof1 - KEP OAL CMH GID */
      cof2 = vec_madd(t1, t03, cof2);       /* JEP NAL BMH FID + cof2 */
      t03r = vec_sld(t03, t03, 8);                /* MH ID EP AL */
      cof1 = vec_madd(t2r, t03r, cof1);           /* KMH OID CEP GAL + cof1 */
      cof2 = vec_nmsub(t1, t03r, cof2);           /* cof2 - JMH NID BEP FAL */ 
      t02 = vec_madd(t0, t2r, vzero);       /* AK EO IC MG */
      t02 = vec_perm(t02, t02, _VECTORMATH_PERM_YXWZ);  /* E0 AK MG IC */
      cof1 = vec_madd(t3, t02, cof1);       /* LEO PAK DMG HIC + cof1 */
      cof3 = vec_nmsub(t1, t02, cof3);            /* cof3 - JEO NAK BMG FIC */
      t02r = vec_sld(t02, t02, 8);                /* MG IC EO AK */
      cof1 = vec_nmsub(t3, t02r, cof1);           /* cof1 - LMG PIC DEO HAK */
      cof3 = vec_madd(t1, t02r, cof3);            /* JMG NIC BEO FAK + cof3 */
      /* Compute the determinant of the matrix 
       *
       * det = sum_across(t0 * cof0);
       *
       * We perform a sum across the entire vector so that 
       * we don't have to splat the result when multiplying the
       * cofactors by the inverse of the determinant.
       */
      det  = vec_madd(t0, cof0, vzero);
      det0 = vec_splat(det, 0);
      det1 = vec_splat(det, 1);
      det2 = vec_splat(det, 2);
      det3 = vec_splat(det, 3);
      det  = vec_add(det0, det1);
      det2 = vec_add(det2, det3);
      det  = vec_add(det, det2);
      /* Compute the reciprocal of the determinant.
       */
      invdet = recipf4(det);
      /* Multiply the cofactors by the reciprocal of the determinant.
       */ 
      return Matrix4(
          Vector4( vec_madd(cof0, invdet, vzero) ),
          Vector4( vec_madd(cof1, invdet, vzero) ),
          Vector4( vec_madd(cof2, invdet, vzero) ),
          Vector4( vec_madd(cof3, invdet, vzero) )
      );
  }
  
  inline const Matrix4 affineInverse( const Matrix4 & mat )
  {
      Transform3 affineMat;
      affineMat.setCol0( mat.getCol0().getXYZ( ) );
      affineMat.setCol1( mat.getCol1().getXYZ( ) );
      affineMat.setCol2( mat.getCol2().getXYZ( ) );
      affineMat.setCol3( mat.getCol3().getXYZ( ) );
      return Matrix4( inverse( affineMat ) );
  }
  
  inline const Matrix4 orthoInverse( const Matrix4 & mat )
  {
      Transform3 affineMat;
      affineMat.setCol0( mat.getCol0().getXYZ( ) );
      affineMat.setCol1( mat.getCol1().getXYZ( ) );
      affineMat.setCol2( mat.getCol2().getXYZ( ) );
      affineMat.setCol3( mat.getCol3().getXYZ( ) );
      return Matrix4( orthoInverse( affineMat ) );
  }
  
  inline const floatInVec determinant( const Matrix4 & mat )
  {
      /* function implementation based on code from STIDC SDK:           */
      /* --------------------------------------------------------------  */
      /* PLEASE DO NOT MODIFY THIS SECTION                               */
      /* This prolog section is automatically generated.                 */
      /*                                                                 */
      /* (C)Copyright                                                    */
      /* Sony Computer Entertainment, Inc.,                              */
      /* Toshiba Corporation,                                            */
      /* International Business Machines Corporation,                    */
      /* 2001,2002.                                                      */
      /* S/T/I Confidential Information                                  */
      /* --------------------------------------------------------------  */
      vector float in0, in1, in2, in3;
      vector float tmp0, tmp1, tmp2, tmp3;
      vector float cof0;
      vector float t0, t1, t2, t3;
      vector float t12, t23;
      vector float t1r, t2r;
      vector float t12r, t23r;
      vector float t1r3, t1r3r;
      vector float vzero = (vector float){0.0};
      in0 = mat.getCol0().get128();
      in1 = mat.getCol1().get128();
      in2 = mat.getCol2().get128();
      in3 = mat.getCol3().get128();
      /* Perform transform of the input matrix of the form:
       *    A B C D
       *    E F G H
       *    I J K L
       *    M N O P
       *
       * The pseudo transpose of the input matrix is trans:
       *    A E I M
       *    J N B F
       *    C G K O
       *    L P D H
       */
      tmp0 = vec_perm(in0, in1, _VECTORMATH_PERM_XAZC); /* A E C G */
      tmp1 = vec_perm(in2, in3, _VECTORMATH_PERM_XAZC); /* I M K O */
      tmp2 = vec_perm(in0, in1, _VECTORMATH_PERM_YBWD); /* B F D H */
      tmp3 = vec_perm(in2, in3, _VECTORMATH_PERM_YBWD); /* J N L P */
      t0 = vec_perm(tmp0, tmp1, _VECTORMATH_PERM_XYAB); /* A E I M */
      t1 = vec_perm(tmp3, tmp2, _VECTORMATH_PERM_XYAB); /* J N B F */
      t2 = vec_perm(tmp0, tmp1, _VECTORMATH_PERM_ZWCD); /* C G K O */
      t3 = vec_perm(tmp3, tmp2, _VECTORMATH_PERM_ZWCD); /* L P D H */
      /* Generate a cofactor matrix. The computed cofactors reside in
       * cof0, cof1, cof2, cof3.
       */
      t23 = vec_madd(t2, t3, vzero);        /* CL GP KD OH */
      t23 = vec_perm(t23, t23, _VECTORMATH_PERM_YXWZ);  /* GP CL OH KD */
      cof0 = vec_nmsub(t1, t23, vzero);           /* -(JGP NCL FOH BKD) */
      t23r = vec_sld(t23, t23, 8);                /* OH KD GP CL */
      cof0 = vec_madd(t1, t23r, cof0);            /* JOH NKD BGP FCL + cof0 */
      t12 = vec_madd(t1, t2, vzero);        /* JC NG BK FO */
      t12 = vec_perm(t12, t12, _VECTORMATH_PERM_YXWZ);  /* NG JC FO BK */
      cof0 = vec_madd(t3, t12, cof0);       /* LNG PJC DFO HBK + cof0 */
      t12r = vec_sld(t12, t12, 8);                /* FO BK NG JC */
      cof0 = vec_nmsub(t3, t12r, cof0);           /* cof0 - LFO PBK DNG HJC */
      t1r = vec_sld(t1, t1, 8);             /* B F J N */
      t2r = vec_sld(t2, t2, 8);             /* K O C G */
      t1r3 = vec_madd(t1r, t3, vzero);            /* BL FP JD NH */
      t1r3 = vec_perm(t1r3, t1r3, _VECTORMATH_PERM_YXWZ);     /* FP BL NH JD */
      cof0 = vec_madd(t2r, t1r3, cof0);           /* KFP OBL CNH GJD + cof0 */
      t1r3r = vec_sld(t1r3, t1r3, 8);       /* NH JD FP BL */
      cof0 = vec_nmsub(t2r, t1r3r, cof0);         /* cof0 - KNH OJD CFP GBL */
      return floatInVec( _vmathVfDot4(t0,cof0), 0 );
  }
  
  inline const Matrix4 Matrix4::operator +( const Matrix4 & mat ) const
  {
      return Matrix4(
          ( mCol0 + mat.mCol0 ),
          ( mCol1 + mat.mCol1 ),
          ( mCol2 + mat.mCol2 ),
          ( mCol3 + mat.mCol3 )
      );
  }
  
  inline const Matrix4 Matrix4::operator -( const Matrix4 & mat ) const
  {
      return Matrix4(
          ( mCol0 - mat.mCol0 ),
          ( mCol1 - mat.mCol1 ),
          ( mCol2 - mat.mCol2 ),
          ( mCol3 - mat.mCol3 )
      );
  }
  
  inline Matrix4 & Matrix4::operator +=( const Matrix4 & mat )
  {
      *this = *this + mat;
      return *this;
  }
  
  inline Matrix4 & Matrix4::operator -=( const Matrix4 & mat )
  {
      *this = *this - mat;
      return *this;
  }
  
  inline const Matrix4 Matrix4::operator -( ) const
  {
      return Matrix4(
          ( -mCol0 ),
          ( -mCol1 ),
          ( -mCol2 ),
          ( -mCol3 )
      );
  }
  
  inline const Matrix4 absPerElem( const Matrix4 & mat )
  {
      return Matrix4(
          absPerElem( mat.getCol0() ),
          absPerElem( mat.getCol1() ),
          absPerElem( mat.getCol2() ),
          absPerElem( mat.getCol3() )
      );
  }
  
  inline const Matrix4 Matrix4::operator *( float scalar ) const
  {
      return *this * floatInVec(scalar);
  }
  
  inline const Matrix4 Matrix4::operator *( floatInVec scalar ) const
  {
      return Matrix4(
          ( mCol0 * scalar ),
          ( mCol1 * scalar ),
          ( mCol2 * scalar ),
          ( mCol3 * scalar )
      );
  }
  
  inline Matrix4 & Matrix4::operator *=( float scalar )
  {
      return *this *= floatInVec(scalar);
  }
  
  inline Matrix4 & Matrix4::operator *=( floatInVec scalar )
  {
      *this = *this * scalar;
      return *this;
  }
  
  inline const Matrix4 operator *( float scalar, const Matrix4 & mat )
  {
      return floatInVec(scalar) * mat;
  }
  
  inline const Matrix4 operator *( floatInVec scalar, const Matrix4 & mat )
  {
      return mat * scalar;
  }
  
  inline const Vector4 Matrix4::operator *( Vector4 vec ) const
  {
      vec_float4 tmp0, tmp1, res;
      vec_float4 xxxx, yyyy, zzzz, wwww;
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      xxxx = vec_splat( vec.get128(), 0 );
      yyyy = vec_splat( vec.get128(), 1 );
      zzzz = vec_splat( vec.get128(), 2 );
      wwww = vec_splat( vec.get128(), 3 );
      tmp0 = vec_madd( mCol0.get128(), xxxx, zero );
      tmp1 = vec_madd( mCol1.get128(), yyyy, zero );
      tmp0 = vec_madd( mCol2.get128(), zzzz, tmp0 );
      tmp1 = vec_madd( mCol3.get128(), wwww, tmp1 );
      res = vec_add( tmp0, tmp1 );
      return Vector4( res );
  }
  
  inline const Vector4 Matrix4::operator *( Vector3 vec ) const
  {
      vec_float4 res;
      vec_float4 xxxx, yyyy, zzzz;
      xxxx = vec_splat( vec.get128(), 0 );
      yyyy = vec_splat( vec.get128(), 1 );
      zzzz = vec_splat( vec.get128(), 2 );
      res = vec_madd( mCol0.get128(), xxxx, ((vec_float4){0.0f,0.0f,0.0f,0.0f}) );
      res = vec_madd( mCol1.get128(), yyyy, res );
      res = vec_madd( mCol2.get128(), zzzz, res );
      return Vector4( res );
  }
  
  inline const Vector4 Matrix4::operator *( Point3 pnt ) const
  {
      vec_float4 tmp0, tmp1, res;
      vec_float4 xxxx, yyyy, zzzz;
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      xxxx = vec_splat( pnt.get128(), 0 );
      yyyy = vec_splat( pnt.get128(), 1 );
      zzzz = vec_splat( pnt.get128(), 2 );
      tmp0 = vec_madd( mCol0.get128(), xxxx, zero );
      tmp1 = vec_madd( mCol1.get128(), yyyy, zero );
      tmp0 = vec_madd( mCol2.get128(), zzzz, tmp0 );
      tmp1 = vec_add( mCol3.get128(), tmp1 );
      res = vec_add( tmp0, tmp1 );
      return Vector4( res );
  }
  
  inline const Matrix4 Matrix4::operator *( const Matrix4 & mat ) const
  {
      return Matrix4(
          ( *this * mat.mCol0 ),
          ( *this * mat.mCol1 ),
          ( *this * mat.mCol2 ),
          ( *this * mat.mCol3 )
      );
  }
  
  inline Matrix4 & Matrix4::operator *=( const Matrix4 & mat )
  {
      *this = *this * mat;
      return *this;
  }
  
  inline const Matrix4 Matrix4::operator *( const Transform3 & tfrm ) const
  {
      return Matrix4(
          ( *this * tfrm.getCol0() ),
          ( *this * tfrm.getCol1() ),
          ( *this * tfrm.getCol2() ),
          ( *this * Point3( tfrm.getCol3() ) )
      );
  }
  
  inline Matrix4 & Matrix4::operator *=( const Transform3 & tfrm )
  {
      *this = *this * tfrm;
      return *this;
  }
  
  inline bool Matrix4::operator == (const Matrix4& mat) const
  {
  	return (vec_all_gt(vec_cmpeq(mCol0.get128(), mat.mCol0.get128()),((vec_uint4){0,0,0,0})) &&
  			vec_all_gt(vec_cmpeq(mCol1.get128(), mat.mCol1.get128()),((vec_uint4){0,0,0,0})) &&
  			vec_all_gt(vec_cmpeq(mCol2.get128(), mat.mCol2.get128()),((vec_uint4){0,0,0,0})) &&
  			vec_all_gt(vec_cmpeq(mCol3.get128(), mat.mCol3.get128()),((vec_uint4){0,0,0,0})));	
  }
  
  inline bool Matrix4::operator != (const Matrix4& mat) const
  {
  	return !(*this == mat);
  }
  
  inline const Matrix4 mulPerElem( const Matrix4 & mat0, const Matrix4 & mat1 )
  {
      return Matrix4(
          mulPerElem( mat0.getCol0(), mat1.getCol0() ),
          mulPerElem( mat0.getCol1(), mat1.getCol1() ),
          mulPerElem( mat0.getCol2(), mat1.getCol2() ),
          mulPerElem( mat0.getCol3(), mat1.getCol3() )
      );
  }
  
  inline const Matrix4 Matrix4::identity( )
  {
      return Matrix4(
          Vector4::xAxis( ),
          Vector4::yAxis( ),
          Vector4::zAxis( ),
          Vector4::wAxis( )
      );
  }
  
  inline Matrix4 & Matrix4::setUpper3x3( const Matrix3 & mat3 )
  {
      mCol0.setXYZ( mat3.getCol0() );
      mCol1.setXYZ( mat3.getCol1() );
      mCol2.setXYZ( mat3.getCol2() );
      return *this;
  }
  
  inline const Matrix3 Matrix4::getUpper3x3( ) const
  {
      return Matrix3(
          mCol0.getXYZ( ),
          mCol1.getXYZ( ),
          mCol2.getXYZ( )
      );
  }
  
  inline Matrix4 & Matrix4::setTranslation( Vector3 translateVec )
  {
      mCol3.setXYZ( translateVec );
      return *this;
  }
  
  inline const Vector3 Matrix4::getTranslation( ) const
  {
      return mCol3.getXYZ( );
  }
  
  inline const Matrix4 Matrix4::rotationX( float radians )
  {
      return rotationX( floatInVec(radians) );
  }
  
  inline const Matrix4 Matrix4::rotationX( floatInVec radians )
  {
      vec_float4 s, c, res1, res2;
      vec_uint4 select_y, select_z;
      vec_float4 zero;
      select_y = _VECTORMATH_MASK_0x0F00;
      select_z = _VECTORMATH_MASK_0x00F0;
      zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      sincosf4( radians.get128(), &s, &c );
      res1 = vec_sel( zero, c, select_y );
      res1 = vec_sel( res1, s, select_z );
      res2 = vec_sel( zero, negatef4(s), select_y );
      res2 = vec_sel( res2, c, select_z );
      return Matrix4(
          Vector4::xAxis( ),
          Vector4( res1 ),
          Vector4( res2 ),
          Vector4::wAxis( )
      );
  }
  
  inline const Matrix4 Matrix4::rotationY( float radians )
  {
      return rotationY( floatInVec(radians) );
  }
  
  inline const Matrix4 Matrix4::rotationY( floatInVec radians )
  {
      vec_float4 s, c, res0, res2;
      vec_uint4 select_x, select_z;
      vec_float4 zero;
      select_x = _VECTORMATH_MASK_0xF000;
      select_z = _VECTORMATH_MASK_0x00F0;
      zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      sincosf4( radians.get128(), &s, &c );
      res0 = vec_sel( zero, c, select_x );
      res0 = vec_sel( res0, negatef4(s), select_z );
      res2 = vec_sel( zero, s, select_x );
      res2 = vec_sel( res2, c, select_z );
      return Matrix4(
          Vector4( res0 ),
          Vector4::yAxis( ),
          Vector4( res2 ),
          Vector4::wAxis( )
      );
  }
  
  inline const Matrix4 Matrix4::rotationZ( float radians )
  {
      return rotationZ( floatInVec(radians) );
  }
  
  inline const Matrix4 Matrix4::rotationZ( floatInVec radians )
  {
      vec_float4 s, c, res0, res1;
      vec_uint4 select_x, select_y;
      vec_float4 zero;
      select_x = _VECTORMATH_MASK_0xF000;
      select_y = _VECTORMATH_MASK_0x0F00;
      zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      sincosf4( radians.get128(), &s, &c );
      res0 = vec_sel( zero, c, select_x );
      res0 = vec_sel( res0, s, select_y );
      res1 = vec_sel( zero, negatef4(s), select_x );
      res1 = vec_sel( res1, c, select_y );
      return Matrix4(
          Vector4( res0 ),
          Vector4( res1 ),
          Vector4::zAxis( ),
          Vector4::wAxis( )
      );
  }
  
  inline const Matrix4 Matrix4::rotationZYX( Vector3 radiansXYZ )
  {
      vec_float4 angles, s, negS, c, X0, X1, Y0, Y1, Z0, Z1, tmp;
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      angles = Vector4( radiansXYZ, 0.0f ).get128();
      sincosf4( angles, &s, &c );
      negS = negatef4( s );
      Z0 = vec_mergel( c, s );
      Z1 = vec_mergel( negS, c );
      Z1 = vec_andc( Z1, (vec_float4)_VECTORMATH_MASK_0x000F );
      Y0 = vec_perm( negS, c, _VECTORMATH_PERM_BBYX );
      Y1 = vec_perm( c, s, _VECTORMATH_PERM_BBYX );
      X0 = vec_splat( s, 0 );
      X1 = vec_splat( c, 0 );
      tmp = vec_madd( Z0, Y1, zero );
      return Matrix4(
          Vector4( vec_madd( Z0, Y0, zero ) ),
          Vector4( vec_madd( Z1, X1, vec_madd( tmp, X0, zero ) ) ),
          Vector4( vec_nmsub( Z1, X0, vec_madd( tmp, X1, zero ) ) ),
          Vector4::wAxis( )
      );
  }
  
  inline const Matrix4 Matrix4::rotation( float radians, Vector3 unitVec )
  {
      return rotation( floatInVec(radians), unitVec );
  }
  
  inline const Matrix4 Matrix4::rotation( floatInVec radians, Vector3 unitVec )
  {
      vec_float4 axis, s, c, oneMinusC, axisS, negAxisS, xxxx, yyyy, zzzz, tmp0, tmp1, tmp2, zeroW;
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      axis = unitVec.get128();
      sincosf4( radians.get128(), &s, &c );
      xxxx = vec_splat( axis, 0 );
      yyyy = vec_splat( axis, 1 );
      zzzz = vec_splat( axis, 2 );
      oneMinusC = vec_sub( ((vec_float4){1.0f,1.0f,1.0f,1.0f}), c );
      axisS = vec_madd( axis, s, zero );
      negAxisS = negatef4( axisS );
      tmp0 = vec_perm( axisS, negAxisS, _VECTORMATH_PERM_XZBX );
      tmp1 = vec_perm( axisS, negAxisS, _VECTORMATH_PERM_CXXX );
      tmp2 = vec_perm( axisS, negAxisS, _VECTORMATH_PERM_YAXX );
      tmp0 = vec_sel( tmp0, c, _VECTORMATH_MASK_0xF000 );
      tmp1 = vec_sel( tmp1, c, _VECTORMATH_MASK_0x0F00 );
      tmp2 = vec_sel( tmp2, c, _VECTORMATH_MASK_0x00F0 );
      zeroW = (vec_float4)_VECTORMATH_MASK_0x000F;
      axis = vec_andc( axis, zeroW );
      tmp0 = vec_andc( tmp0, zeroW );
      tmp1 = vec_andc( tmp1, zeroW );
      tmp2 = vec_andc( tmp2, zeroW );
      return Matrix4(
          Vector4( vec_madd( vec_madd( axis, xxxx, zero ), oneMinusC, tmp0 ) ),
          Vector4( vec_madd( vec_madd( axis, yyyy, zero ), oneMinusC, tmp1 ) ),
          Vector4( vec_madd( vec_madd( axis, zzzz, zero ), oneMinusC, tmp2 ) ),
          Vector4::wAxis( )
      );
  }
  
  inline const Matrix4 Matrix4::rotation( Quat unitQuat )
  {
      return Matrix4( Transform3::rotation( unitQuat ) );
  }
  
  inline const Matrix4 Matrix4::scale( Vector3 scaleVec )
  {
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      return Matrix4(
          Vector4( vec_sel( zero, scaleVec.get128(), _VECTORMATH_MASK_0xF000 ) ),
          Vector4( vec_sel( zero, scaleVec.get128(), _VECTORMATH_MASK_0x0F00 ) ),
          Vector4( vec_sel( zero, scaleVec.get128(), _VECTORMATH_MASK_0x00F0 ) ),
          Vector4::wAxis( )
      );
  }
  
  inline const Matrix4 appendScale( const Matrix4 & mat, Vector3 scaleVec )
  {
      return Matrix4(
          ( mat.getCol0() * scaleVec.getX( ) ),
          ( mat.getCol1() * scaleVec.getY( ) ),
          ( mat.getCol2() * scaleVec.getZ( ) ),
          mat.getCol3()
      );
  }
  
  inline const Matrix4 prependScale( Vector3 scaleVec, const Matrix4 & mat )
  {
      Vector4 scale4;
      scale4 = Vector4( scaleVec, 1.0f );
      return Matrix4(
          mulPerElem( mat.getCol0(), scale4 ),
          mulPerElem( mat.getCol1(), scale4 ),
          mulPerElem( mat.getCol2(), scale4 ),
          mulPerElem( mat.getCol3(), scale4 )
      );
  }
  
  inline const Matrix4 Matrix4::translation( Vector3 translateVec )
  {
      return Matrix4(
          Vector4::xAxis( ),
          Vector4::yAxis( ),
          Vector4::zAxis( ),
          Vector4( translateVec, 1.0f )
      );
  }
  
  inline const Matrix4 Matrix4::lookAt( Point3 eyePos, Point3 lookAtPos, Vector3 upVec )
  {
      Matrix4 m4EyeFrame;
      Vector3 v3X, v3Y, v3Z;
      v3Y = normalize( upVec );
      v3Z = normalize( ( eyePos - lookAtPos ) );
      v3X = normalize( cross( v3Y, v3Z ) );
      v3Y = cross( v3Z, v3X );
      m4EyeFrame = Matrix4( Vector4( v3X ), Vector4( v3Y ), Vector4( v3Z ), Vector4( eyePos ) );
      return orthoInverse( m4EyeFrame );
  }
  
  inline const Matrix4 Matrix4::perspective( float fovyRadians, float aspect, float zNear, float zFar )
  {
      float f, rangeInv;
      vec_float4 zero, col0, col1, col2, col3;
      union { vec_float4 v; float s[4]; } tmp;
      f = tanf( _VECTORMATH_PI_OVER_2 - fovyRadians * 0.5f );
      rangeInv = 1.0f / ( zNear - zFar );
      zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      tmp.v = zero;
      tmp.s[0] = f / aspect;
      col0 = tmp.v;
      tmp.v = zero;
      tmp.s[1] = f;
      col1 = tmp.v;
      tmp.v = zero;
      tmp.s[2] = ( zNear + zFar ) * rangeInv;
      tmp.s[3] = -1.0f;
      col2 = tmp.v;
      tmp.v = zero;
      tmp.s[2] = zNear * zFar * rangeInv * 2.0f;
      col3 = tmp.v;
      return Matrix4(
          Vector4( col0 ),
          Vector4( col1 ),
          Vector4( col2 ),
          Vector4( col3 )
      );
  }
  
  inline const Matrix4 Matrix4::frustum( float left, float right, float bottom, float top, float zNear, float zFar )
  {
      /* function implementation based on code from STIDC SDK:           */
      /* --------------------------------------------------------------  */
      /* PLEASE DO NOT MODIFY THIS SECTION                               */
      /* This prolog section is automatically generated.                 */
      /*                                                                 */
      /* (C)Copyright                                                    */
      /* Sony Computer Entertainment, Inc.,                              */
      /* Toshiba Corporation,                                            */
      /* International Business Machines Corporation,                    */
      /* 2001,2002.                                                      */
      /* S/T/I Confidential Information                                  */
      /* --------------------------------------------------------------  */
      vec_float4 lbf, rtn;
      vec_float4 diff, sum, inv_diff;
      vec_float4 diagonal, column, near2;
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      union { vec_float4 v; float s[4]; } l, f, r, n, b, t;
      l.s[0] = left;
      f.s[0] = zFar;
      r.s[0] = right;
      n.s[0] = zNear;
      b.s[0] = bottom;
      t.s[0] = top;
      lbf = vec_mergeh( l.v, f.v );
      rtn = vec_mergeh( r.v, n.v );
      lbf = vec_mergeh( lbf, b.v );
      rtn = vec_mergeh( rtn, t.v );
      diff = vec_sub( rtn, lbf );
      sum  = vec_add( rtn, lbf );
      inv_diff = recipf4( diff );
      near2 = vec_splat( n.v, 0 );
      near2 = vec_add( near2, near2 );
      diagonal = vec_madd( near2, inv_diff, zero );
      column = vec_madd( sum, inv_diff, zero );
      return Matrix4(
          Vector4( vec_sel( zero, diagonal, _VECTORMATH_MASK_0xF000 ) ),
          Vector4( vec_sel( zero, diagonal, _VECTORMATH_MASK_0x0F00 ) ),
          Vector4( vec_sel( column, ((vec_float4){-1.0f,-1.0f,-1.0f,-1.0f}), _VECTORMATH_MASK_0x000F ) ),
          Vector4( vec_sel( zero, vec_madd( diagonal, vec_splat( f.v, 0 ), zero ), _VECTORMATH_MASK_0x00F0 ) )
      );
  }
  
  inline const Matrix4 Matrix4::orthographic( float left, float right, float bottom, float top, float zNear, float zFar )
  {
      /* function implementation based on code from STIDC SDK:           */
      /* --------------------------------------------------------------  */
      /* PLEASE DO NOT MODIFY THIS SECTION                               */
      /* This prolog section is automatically generated.                 */
      /*                                                                 */
      /* (C)Copyright                                                    */
      /* Sony Computer Entertainment, Inc.,                              */
      /* Toshiba Corporation,                                            */
      /* International Business Machines Corporation,                    */
      /* 2001,2002.                                                      */
      /* S/T/I Confidential Information                                  */
      /* --------------------------------------------------------------  */
      vec_float4 lbf, rtn;
      vec_float4 diff, sum, inv_diff, neg_inv_diff;
      vec_float4 diagonal, column;
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      union { vec_float4 v; float s[4]; } l, f, r, n, b, t;
      l.s[0] = left;
      f.s[0] = zFar;
      r.s[0] = right;
      n.s[0] = zNear;
      b.s[0] = bottom;
      t.s[0] = top;
      lbf = vec_mergeh( l.v, f.v );
      rtn = vec_mergeh( r.v, n.v );
      lbf = vec_mergeh( lbf, b.v );
      rtn = vec_mergeh( rtn, t.v );
      diff = vec_sub( rtn, lbf );
      sum  = vec_add( rtn, lbf );
      inv_diff = recipf4( diff );
      neg_inv_diff = negatef4( inv_diff );
      diagonal = vec_add( inv_diff, inv_diff );
      column = vec_madd( sum, vec_sel( neg_inv_diff, inv_diff, _VECTORMATH_MASK_0x00F0 ), zero );
      return Matrix4(
          Vector4( vec_sel( zero, diagonal, _VECTORMATH_MASK_0xF000 ) ),
          Vector4( vec_sel( zero, diagonal, _VECTORMATH_MASK_0x0F00 ) ),
          Vector4( vec_sel( zero, diagonal, _VECTORMATH_MASK_0x00F0 ) ),
          Vector4( vec_sel( column, ((vec_float4){1.0f,1.0f,1.0f,1.0f}), _VECTORMATH_MASK_0x000F ) )
      );
  }
  
  inline const Matrix4 select( const Matrix4 & mat0, const Matrix4 & mat1, bool select1 )
  {
      return Matrix4(
          select( mat0.getCol0(), mat1.getCol0(), select1 ),
          select( mat0.getCol1(), mat1.getCol1(), select1 ),
          select( mat0.getCol2(), mat1.getCol2(), select1 ),
          select( mat0.getCol3(), mat1.getCol3(), select1 )
      );
  }
  
  inline const Matrix4 select( const Matrix4 & mat0, const Matrix4 & mat1, boolInVec select1 )
  {
      return Matrix4(
          select( mat0.getCol0(), mat1.getCol0(), select1 ),
          select( mat0.getCol1(), mat1.getCol1(), select1 ),
          select( mat0.getCol2(), mat1.getCol2(), select1 ),
          select( mat0.getCol3(), mat1.getCol3(), select1 )
      );
  }
  
  #ifdef _VECTORMATH_DEBUG
  
  inline void print( const Matrix4 & mat )
  {
      print( mat.getRow( 0 ) );
      print( mat.getRow( 1 ) );
      print( mat.getRow( 2 ) );
      print( mat.getRow( 3 ) );
  }
  
  inline void print( const Matrix4 & mat, const char * name )
  {
      printf("%s:\n", name);
      print( mat );
  }
  
  #endif
  
  inline Transform3::Transform3( const Transform3 & tfrm )
  {
      mCol0 = tfrm.mCol0;
      mCol1 = tfrm.mCol1;
      mCol2 = tfrm.mCol2;
      mCol3 = tfrm.mCol3;
  }
  
  inline Transform3::Transform3( float scalar )
  {
      mCol0 = Vector3( scalar );
      mCol1 = Vector3( scalar );
      mCol2 = Vector3( scalar );
      mCol3 = Vector3( scalar );
  }
  
  inline Transform3::Transform3( floatInVec scalar )
  {
      mCol0 = Vector3( scalar );
      mCol1 = Vector3( scalar );
      mCol2 = Vector3( scalar );
      mCol3 = Vector3( scalar );
  }
  
  inline Transform3::Transform3( Vector3 _col0, Vector3 _col1, Vector3 _col2, Vector3 _col3 )
  {
      mCol0 = _col0;
      mCol1 = _col1;
      mCol2 = _col2;
      mCol3 = _col3;
  }
  
  inline Transform3::Transform3( const Matrix3 & tfrm, Vector3 translateVec )
  {
      this->setUpper3x3( tfrm );
      this->setTranslation( translateVec );
  }
  
  inline Transform3::Transform3( Quat unitQuat, Vector3 translateVec )
  {
      this->setUpper3x3( Matrix3( unitQuat ) );
      this->setTranslation( translateVec );
  }
  
  inline Transform3 & Transform3::setCol0( Vector3 _col0 )
  {
      mCol0 = _col0;
      return *this;
  }
  
  inline Transform3 & Transform3::setCol1( Vector3 _col1 )
  {
      mCol1 = _col1;
      return *this;
  }
  
  inline Transform3 & Transform3::setCol2( Vector3 _col2 )
  {
      mCol2 = _col2;
      return *this;
  }
  
  inline Transform3 & Transform3::setCol3( Vector3 _col3 )
  {
      mCol3 = _col3;
      return *this;
  }
  
  inline Transform3 & Transform3::setCol( int col, Vector3 vec )
  {
      *(&mCol0 + col) = vec;
      return *this;
  }
  
  inline Transform3 & Transform3::setRow( int row, Vector4 vec )
  {
      mCol0.setElem( row, vec.getElem( 0 ) );
      mCol1.setElem( row, vec.getElem( 1 ) );
      mCol2.setElem( row, vec.getElem( 2 ) );
      mCol3.setElem( row, vec.getElem( 3 ) );
      return *this;
  }
  
  inline Transform3 & Transform3::setElem( int col, int row, float val )
  {
      (*this)[col].setElem(row, val);
      return *this;
  }
  
  inline Transform3 & Transform3::setElem( int col, int row, floatInVec val )
  {
      Vector3 tmpV3_0;
      tmpV3_0 = this->getCol( col );
      tmpV3_0.setElem( row, val );
      this->setCol( col, tmpV3_0 );
      return *this;
  }
  
  inline const floatInVec Transform3::getElem( int col, int row ) const
  {
      return this->getCol( col ).getElem( row );
  }
  
  inline const Vector3 Transform3::getCol0( ) const
  {
      return mCol0;
  }
  
  inline const Vector3 Transform3::getCol1( ) const
  {
      return mCol1;
  }
  
  inline const Vector3 Transform3::getCol2( ) const
  {
      return mCol2;
  }
  
  inline const Vector3 Transform3::getCol3( ) const
  {
      return mCol3;
  }
  
  inline const Vector3 Transform3::getCol( int col ) const
  {
      return *(&mCol0 + col);
  }
  
  inline const Vector4 Transform3::getRow( int row ) const
  {
      return Vector4( mCol0.getElem( row ), mCol1.getElem( row ), mCol2.getElem( row ), mCol3.getElem( row ) );
  }
  
  inline Vector3 & Transform3::operator []( int col )
  {
      return *(&mCol0 + col);
  }
  
  inline const Vector3 Transform3::operator []( int col ) const
  {
      return *(&mCol0 + col);
  }
  
  inline Transform3 & Transform3::operator =( const Transform3 & tfrm )
  {
      mCol0 = tfrm.mCol0;
      mCol1 = tfrm.mCol1;
      mCol2 = tfrm.mCol2;
      mCol3 = tfrm.mCol3;
      return *this;
  }
  
  inline const Transform3 inverse( const Transform3 & tfrm )
  {
      vec_float4 inv0, inv1, inv2, inv3;
      vec_float4 tmp0, tmp1, tmp2, tmp3, tmp4, dot, invdet;
      vec_float4 xxxx, yyyy, zzzz;
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      tmp2 = _vmathVfCross( tfrm.getCol0().get128(), tfrm.getCol1().get128() );
      tmp0 = _vmathVfCross( tfrm.getCol1().get128(), tfrm.getCol2().get128() );
      tmp1 = _vmathVfCross( tfrm.getCol2().get128(), tfrm.getCol0().get128() );
      inv3 = negatef4( tfrm.getCol3().get128() );
      dot = _vmathVfDot3( tmp2, tfrm.getCol2().get128() );
      dot = vec_splat( dot, 0 );
      invdet = recipf4( dot );
      tmp3 = vec_mergeh( tmp0, tmp2 );
      tmp4 = vec_mergel( tmp0, tmp2 );
      inv0 = vec_mergeh( tmp3, tmp1 );
      xxxx = vec_splat( inv3, 0 );
      inv1 = vec_perm( tmp3, tmp1, _VECTORMATH_PERM_ZBWX );
      inv2 = vec_perm( tmp4, tmp1, _VECTORMATH_PERM_XCYX );
      yyyy = vec_splat( inv3, 1 );
      zzzz = vec_splat( inv3, 2 );
      inv3 = vec_madd( inv0, xxxx, zero );
      inv3 = vec_madd( inv1, yyyy, inv3 );
      inv3 = vec_madd( inv2, zzzz, inv3 );
      inv0 = vec_madd( inv0, invdet, zero );
      inv1 = vec_madd( inv1, invdet, zero );
      inv2 = vec_madd( inv2, invdet, zero );
      inv3 = vec_madd( inv3, invdet, zero );
      return Transform3(
          Vector3( inv0 ),
          Vector3( inv1 ),
          Vector3( inv2 ),
          Vector3( inv3 )
      );
  }
  
  inline const Transform3 orthoInverse( const Transform3 & tfrm )
  {
      vec_float4 inv0, inv1, inv2, inv3;
      vec_float4 tmp0, tmp1;
      vec_float4 xxxx, yyyy, zzzz;
      tmp0 = vec_mergeh( tfrm.getCol0().get128(), tfrm.getCol2().get128() );
      tmp1 = vec_mergel( tfrm.getCol0().get128(), tfrm.getCol2().get128() );
      inv3 = negatef4( tfrm.getCol3().get128() );
      inv0 = vec_mergeh( tmp0, tfrm.getCol1().get128() );
      xxxx = vec_splat( inv3, 0 );
      inv1 = vec_perm( tmp0, tfrm.getCol1().get128(), _VECTORMATH_PERM_ZBWX );
      inv2 = vec_perm( tmp1, tfrm.getCol1().get128(), _VECTORMATH_PERM_XCYX );
      yyyy = vec_splat( inv3, 1 );
      zzzz = vec_splat( inv3, 2 );
      inv3 = vec_madd( inv0, xxxx, ((vec_float4){0.0f,0.0f,0.0f,0.0f}) );
      inv3 = vec_madd( inv1, yyyy, inv3 );
      inv3 = vec_madd( inv2, zzzz, inv3 );
      return Transform3(
          Vector3( inv0 ),
          Vector3( inv1 ),
          Vector3( inv2 ),
          Vector3( inv3 )
      );
  }
  
  inline const Transform3 absPerElem( const Transform3 & tfrm )
  {
      return Transform3(
          absPerElem( tfrm.getCol0() ),
          absPerElem( tfrm.getCol1() ),
          absPerElem( tfrm.getCol2() ),
          absPerElem( tfrm.getCol3() )
      );
  }
  
  inline const Vector3 Transform3::operator *( Vector3 vec ) const
  {
      vec_float4 res;
      vec_float4 xxxx, yyyy, zzzz;
      xxxx = vec_splat( vec.get128(), 0 );
      yyyy = vec_splat( vec.get128(), 1 );
      zzzz = vec_splat( vec.get128(), 2 );
      res = vec_madd( mCol0.get128(), xxxx, ((vec_float4){0.0f,0.0f,0.0f,0.0f}) );
      res = vec_madd( mCol1.get128(), yyyy, res );
      res = vec_madd( mCol2.get128(), zzzz, res );
      return Vector3( res );
  }
  
  inline const Point3 Transform3::operator *( Point3 pnt ) const
  {
      vec_float4 tmp0, tmp1, res;
      vec_float4 xxxx, yyyy, zzzz;
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      xxxx = vec_splat( pnt.get128(), 0 );
      yyyy = vec_splat( pnt.get128(), 1 );
      zzzz = vec_splat( pnt.get128(), 2 );
      tmp0 = vec_madd( mCol0.get128(), xxxx, zero );
      tmp1 = vec_madd( mCol1.get128(), yyyy, zero );
      tmp0 = vec_madd( mCol2.get128(), zzzz, tmp0 );
      tmp1 = vec_add( mCol3.get128(), tmp1 );
      res = vec_add( tmp0, tmp1 );
      return Point3( res );
  }
  
  inline const Transform3 Transform3::operator *( const Transform3 & tfrm ) const
  {
      return Transform3(
          ( *this * tfrm.mCol0 ),
          ( *this * tfrm.mCol1 ),
          ( *this * tfrm.mCol2 ),
          Vector3( ( *this * Point3( tfrm.mCol3 ) ) )
      );
  }
  
  inline Transform3 & Transform3::operator *=( const Transform3 & tfrm )
  {
      *this = *this * tfrm;
      return *this;
  }
  
  inline const Transform3 mulPerElem( const Transform3 & tfrm0, const Transform3 & tfrm1 )
  {
      return Transform3(
          mulPerElem( tfrm0.getCol0(), tfrm1.getCol0() ),
          mulPerElem( tfrm0.getCol1(), tfrm1.getCol1() ),
          mulPerElem( tfrm0.getCol2(), tfrm1.getCol2() ),
          mulPerElem( tfrm0.getCol3(), tfrm1.getCol3() )
      );
  }
  
  inline const Transform3 Transform3::identity( )
  {
      return Transform3(
          Vector3::xAxis( ),
          Vector3::yAxis( ),
          Vector3::zAxis( ),
          Vector3( 0.0f )
      );
  }
  
  inline Transform3 & Transform3::setUpper3x3( const Matrix3 & tfrm )
  {
      mCol0 = tfrm.getCol0();
      mCol1 = tfrm.getCol1();
      mCol2 = tfrm.getCol2();
      return *this;
  }
  
  inline const Matrix3 Transform3::getUpper3x3( ) const
  {
      return Matrix3( mCol0, mCol1, mCol2 );
  }
  
  inline Transform3 & Transform3::setTranslation( Vector3 translateVec )
  {
      mCol3 = translateVec;
      return *this;
  }
  
  inline const Vector3 Transform3::getTranslation( ) const
  {
      return mCol3;
  }
  
  inline const Transform3 Transform3::rotationX( float radians )
  {
      return rotationX( floatInVec(radians) );
  }
  
  inline const Transform3 Transform3::rotationX( floatInVec radians )
  {
      vec_float4 s, c, res1, res2;
      vec_uint4 select_y, select_z;
      vec_float4 zero;
      select_y = _VECTORMATH_MASK_0x0F00;
      select_z = _VECTORMATH_MASK_0x00F0;
      zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      sincosf4( radians.get128(), &s, &c );
      res1 = vec_sel( zero, c, select_y );
      res1 = vec_sel( res1, s, select_z );
      res2 = vec_sel( zero, negatef4(s), select_y );
      res2 = vec_sel( res2, c, select_z );
      return Transform3(
          Vector3::xAxis( ),
          Vector3( res1 ),
          Vector3( res2 ),
          Vector3( 0.0f )
      );
  }
  
  inline const Transform3 Transform3::rotationY( float radians )
  {
      return rotationY( floatInVec(radians) );
  }
  
  inline const Transform3 Transform3::rotationY( floatInVec radians )
  {
      vec_float4 s, c, res0, res2;
      vec_uint4 select_x, select_z;
      vec_float4 zero;
      select_x = _VECTORMATH_MASK_0xF000;
      select_z = _VECTORMATH_MASK_0x00F0;
      zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      sincosf4( radians.get128(), &s, &c );
      res0 = vec_sel( zero, c, select_x );
      res0 = vec_sel( res0, negatef4(s), select_z );
      res2 = vec_sel( zero, s, select_x );
      res2 = vec_sel( res2, c, select_z );
      return Transform3(
          Vector3( res0 ),
          Vector3::yAxis( ),
          Vector3( res2 ),
          Vector3( 0.0f )
      );
  }
  
  inline const Transform3 Transform3::rotationZ( float radians )
  {
      return rotationZ( floatInVec(radians) );
  }
  
  inline const Transform3 Transform3::rotationZ( floatInVec radians )
  {
      vec_float4 s, c, res0, res1;
      vec_uint4 select_x, select_y;
      vec_float4 zero;
      select_x = _VECTORMATH_MASK_0xF000;
      select_y = _VECTORMATH_MASK_0x0F00;
      zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      sincosf4( radians.get128(), &s, &c );
      res0 = vec_sel( zero, c, select_x );
      res0 = vec_sel( res0, s, select_y );
      res1 = vec_sel( zero, negatef4(s), select_x );
      res1 = vec_sel( res1, c, select_y );
      return Transform3(
          Vector3( res0 ),
          Vector3( res1 ),
          Vector3::zAxis( ),
          Vector3( 0.0f )
      );
  }
  
  inline const Transform3 Transform3::rotationZYX( Vector3 radiansXYZ )
  {
      vec_float4 angles, s, negS, c, X0, X1, Y0, Y1, Z0, Z1, tmp;
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      angles = Vector4( radiansXYZ, 0.0f ).get128();
      sincosf4( angles, &s, &c );
      negS = negatef4( s );
      Z0 = vec_mergel( c, s );
      Z1 = vec_mergel( negS, c );
      Z1 = vec_andc( Z1, (vec_float4)_VECTORMATH_MASK_0x000F );
      Y0 = vec_perm( negS, c, _VECTORMATH_PERM_BBYX );
      Y1 = vec_perm( c, s, _VECTORMATH_PERM_BBYX );
      X0 = vec_splat( s, 0 );
      X1 = vec_splat( c, 0 );
      tmp = vec_madd( Z0, Y1, zero );
      return Transform3(
          Vector3( vec_madd( Z0, Y0, zero ) ),
          Vector3( vec_madd( Z1, X1, vec_madd( tmp, X0, zero ) ) ),
          Vector3( vec_nmsub( Z1, X0, vec_madd( tmp, X1, zero ) ) ),
          Vector3( 0.0f )
      );
  }
  
  inline const Transform3 Transform3::rotation( float radians, Vector3 unitVec )
  {
      return rotation( floatInVec(radians), unitVec );
  }
  
  inline const Transform3 Transform3::rotation( floatInVec radians, Vector3 unitVec )
  {
      return Transform3( Matrix3::rotation( radians, unitVec ), Vector3( 0.0f ) );
  }
  
  inline const Transform3 Transform3::rotation( Quat unitQuat )
  {
      return Transform3( Matrix3( unitQuat ), Vector3( 0.0f ) );
  }
  
  inline const Transform3 Transform3::scale( Vector3 scaleVec )
  {
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
      return Transform3(
          Vector3( vec_sel( zero, scaleVec.get128(), _VECTORMATH_MASK_0xF000 ) ),
          Vector3( vec_sel( zero, scaleVec.get128(), _VECTORMATH_MASK_0x0F00 ) ),
          Vector3( vec_sel( zero, scaleVec.get128(), _VECTORMATH_MASK_0x00F0 ) ),
          Vector3( 0.0f )
      );
  }
  
  inline const Transform3 appendScale( const Transform3 & tfrm, Vector3 scaleVec )
  {
      return Transform3(
          ( tfrm.getCol0() * scaleVec.getX( ) ),
          ( tfrm.getCol1() * scaleVec.getY( ) ),
          ( tfrm.getCol2() * scaleVec.getZ( ) ),
          tfrm.getCol3()
      );
  }
  
  inline const Transform3 prependScale( Vector3 scaleVec, const Transform3 & tfrm )
  {
      return Transform3(
          mulPerElem( tfrm.getCol0(), scaleVec ),
          mulPerElem( tfrm.getCol1(), scaleVec ),
          mulPerElem( tfrm.getCol2(), scaleVec ),
          mulPerElem( tfrm.getCol3(), scaleVec )
      );
  }
  
  inline const Transform3 Transform3::translation( Vector3 translateVec )
  {
      return Transform3(
          Vector3::xAxis( ),
          Vector3::yAxis( ),
          Vector3::zAxis( ),
          translateVec
      );
  }
  
  inline const Transform3 select( const Transform3 & tfrm0, const Transform3 & tfrm1, bool select1 )
  {
      return Transform3(
          select( tfrm0.getCol0(), tfrm1.getCol0(), select1 ),
          select( tfrm0.getCol1(), tfrm1.getCol1(), select1 ),
          select( tfrm0.getCol2(), tfrm1.getCol2(), select1 ),
          select( tfrm0.getCol3(), tfrm1.getCol3(), select1 )
      );
  }
  
  inline const Transform3 select( const Transform3 & tfrm0, const Transform3 & tfrm1, boolInVec select1 )
  {
      return Transform3(
          select( tfrm0.getCol0(), tfrm1.getCol0(), select1 ),
          select( tfrm0.getCol1(), tfrm1.getCol1(), select1 ),
          select( tfrm0.getCol2(), tfrm1.getCol2(), select1 ),
          select( tfrm0.getCol3(), tfrm1.getCol3(), select1 )
      );
  }
  
  #ifdef _VECTORMATH_DEBUG
  
  inline void print( const Transform3 & tfrm )
  {
      print( tfrm.getRow( 0 ) );
      print( tfrm.getRow( 1 ) );
      print( tfrm.getRow( 2 ) );
  }
  
  inline void print( const Transform3 & tfrm, const char * name )
  {
      printf("%s:\n", name);
      print( tfrm );
  }
  
  #endif
  
  inline Quat::Quat( const Matrix3 & tfrm )
  {
      vec_float4 res;
      vec_float4 col0, col1, col2;
      vec_float4 xx_yy, xx_yy_zz_xx, yy_zz_xx_yy, zz_xx_yy_zz, diagSum, diagDiff;
      vec_float4 zy_xz_yx, yz_zx_xy, sum, diff;
      vec_float4 radicand, invSqrt, scale;
      vec_float4 res0, res1, res2, res3;
      vec_float4 xx, yy, zz;
      vec_uint4 select_x = _VECTORMATH_MASK_0xF000;
      vec_uint4 select_y = _VECTORMATH_MASK_0x0F00;
      vec_uint4 select_z = _VECTORMATH_MASK_0x00F0;
      vec_uint4 select_w = _VECTORMATH_MASK_0x000F;
      vec_float4 zero = ((vec_float4){0.0f,0.0f,0.0f,0.0f});
  
      col0 = tfrm.getCol0().get128();
      col1 = tfrm.getCol1().get128();
      col2 = tfrm.getCol2().get128();
  
      /* four cases: */
      /* trace > 0 */
      /* else */
      /*    xx largest diagonal element */
      /*    yy largest diagonal element */
      /*    zz largest diagonal element */
  
      /* compute quaternion for each case */
  
      xx_yy = vec_sel( col0, col1, select_y );
      xx_yy_zz_xx = vec_perm( xx_yy, col2, _VECTORMATH_PERM_XYCX );
      yy_zz_xx_yy = vec_perm( xx_yy, col2, _VECTORMATH_PERM_YCXY );
      zz_xx_yy_zz = vec_perm( xx_yy, col2, _VECTORMATH_PERM_CXYC );
  
      diagSum = vec_add( vec_add( xx_yy_zz_xx, yy_zz_xx_yy ), zz_xx_yy_zz );
      diagDiff = vec_sub( vec_sub( xx_yy_zz_xx, yy_zz_xx_yy ), zz_xx_yy_zz );
      radicand = vec_add( vec_sel( diagDiff, diagSum, select_w ), ((vec_float4){1.0f,1.0f,1.0f,1.0f}) );
      invSqrt = rsqrtf4( radicand );
  
      zy_xz_yx = vec_sel( col0, col1, select_z );
      zy_xz_yx = vec_perm( zy_xz_yx, col2, _VECTORMATH_PERM_ZAYX );
      yz_zx_xy = vec_sel( col0, col1, select_x );
      yz_zx_xy = vec_perm( yz_zx_xy, col2, _VECTORMATH_PERM_BZXX );
  
      sum = vec_add( zy_xz_yx, yz_zx_xy );
      diff = vec_sub( zy_xz_yx, yz_zx_xy );
  
      scale = vec_madd( invSqrt, ((vec_float4){0.5f,0.5f,0.5f,0.5f}), zero );
      res0 = vec_perm( sum, diff, _VECTORMATH_PERM_XZYA );
      res1 = vec_perm( sum, diff, _VECTORMATH_PERM_ZXXB );
      res2 = vec_perm( sum, diff, _VECTORMATH_PERM_YXXC );
      res3 = diff;
      res0 = vec_sel( res0, radicand, select_x );
      res1 = vec_sel( res1, radicand, select_y );
      res2 = vec_sel( res2, radicand, select_z );
      res3 = vec_sel( res3, radicand, select_w );
      res0 = vec_madd( res0, vec_splat( scale, 0 ), zero );
      res1 = vec_madd( res1, vec_splat( scale, 1 ), zero );
      res2 = vec_madd( res2, vec_splat( scale, 2 ), zero );
      res3 = vec_madd( res3, vec_splat( scale, 3 ), zero );
  
      /* determine case and select answer */
  
      xx = vec_splat( col0, 0 );
      yy = vec_splat( col1, 1 );
      zz = vec_splat( col2, 2 );
      res = vec_sel( res0, res1, vec_cmpgt( yy, xx ) );
      res = vec_sel( res, res2, vec_and( vec_cmpgt( zz, xx ), vec_cmpgt( zz, yy ) ) );
      res = vec_sel( res, res3, vec_cmpgt( vec_splat( diagSum, 0 ), zero ) );
      mVec128 = res;
  }
  
  inline const Matrix3 outer( Vector3 tfrm0, Vector3 tfrm1 )
  {
      return Matrix3(
          ( tfrm0 * tfrm1.getX( ) ),
          ( tfrm0 * tfrm1.getY( ) ),
          ( tfrm0 * tfrm1.getZ( ) )
      );
  }
  
  inline const Matrix4 outer( Vector4 tfrm0, Vector4 tfrm1 )
  {
      return Matrix4(
          ( tfrm0 * tfrm1.getX( ) ),
          ( tfrm0 * tfrm1.getY( ) ),
          ( tfrm0 * tfrm1.getZ( ) ),
          ( tfrm0 * tfrm1.getW( ) )
      );
  }
  
  inline const Vector3 rowMul( Vector3 vec, const Matrix3 & mat )
  {
      vec_float4 tmp0, tmp1, mcol0, mcol1, mcol2, res;
      vec_float4 xxxx, yyyy, zzzz;
      tmp0 = vec_mergeh( mat.getCol0().get128(), mat.getCol2().get128() );
      tmp1 = vec_mergel( mat.getCol0().get128(), mat.getCol2().get128() );
      xxxx = vec_splat( vec.get128(), 0 );
      mcol0 = vec_mergeh( tmp0, mat.getCol1().get128() );
      mcol1 = vec_perm( tmp0, mat.getCol1().get128(), _VECTORMATH_PERM_ZBWX );
      mcol2 = vec_perm( tmp1, mat.getCol1().get128(), _VECTORMATH_PERM_XCYX );
      yyyy = vec_splat( vec.get128(), 1 );
      res = vec_madd( mcol0, xxxx, ((vec_float4){0.0f,0.0f,0.0f,0.0f}) );
      zzzz = vec_splat( vec.get128(), 2 );
      res = vec_madd( mcol1, yyyy, res );
      res = vec_madd( mcol2, zzzz, res );
      return Vector3( res );
  }
  
  inline const Matrix3 crossMatrix( Vector3 vec )
  {
      vec_float4 neg, res0, res1, res2;
      neg = negatef4( vec.get128() );
      res0 = vec_perm( vec.get128(), neg, _VECTORMATH_PERM_XZBX );
      res1 = vec_perm( vec.get128(), neg, _VECTORMATH_PERM_CXXX );
      res2 = vec_perm( vec.get128(), neg, _VECTORMATH_PERM_YAXX );
      res0 = vec_andc( res0, (vec_float4)_VECTORMATH_MASK_0xF000 );
      res1 = vec_andc( res1, (vec_float4)_VECTORMATH_MASK_0x0F00 );
      res2 = vec_andc( res2, (vec_float4)_VECTORMATH_MASK_0x00F0 );
      return Matrix3(
          Vector3( res0 ),
          Vector3( res1 ),
          Vector3( res2 )
      );
  }
  
  inline const Matrix3 crossMatrixMul( Vector3 vec, const Matrix3 & mat )
  {
      return Matrix3( cross( vec, mat.getCol0() ), cross( vec, mat.getCol1() ), cross( vec, mat.getCol2() ) );
  }
  
  } // namespace Aos
  } // namespace Vectormath
  
  #endif
  