text: ///////////////////////////////////////////////////////////////////////////////////////////////////
  // OpenGL Mathematics Copyright (c) 2005 - 2010 G-Truc Creation (www.g-truc.net)
  ///////////////////////////////////////////////////////////////////////////////////////////////////
  // Created : 2005-01-27
  // Updated : 2010-02-05
  // Licence : This source is under MIT License
  // File    : glm/core/type_mat4x4.inl
  ///////////////////////////////////////////////////////////////////////////////////////////////////
  
  namespace glm{
  namespace detail
  {
  	template <typename T>
  	inline typename tmat4x4<T>::size_type tmat4x4<T>::col_size()
  	{
  		return 4;
  	}
  
  	template <typename T>
  	inline typename tmat4x4<T>::size_type tmat4x4<T>::row_size()
  	{
  		return 4;
  	}
  
  	//////////////////////////////////////
  	// Accesses
  
  	template <typename T>
  	inline typename tmat4x4<T>::col_type & 
  	tmat4x4<T>::operator[]
  	(
  		size_type i
  	)
  	{
  		assert(i < col_size());
  		return this->value[i];
  	}
  
  	template <typename T>
  	inline typename tmat4x4<T>::col_type const & 
  	tmat4x4<T>::operator[]
  	(
  		size_type i
  	) const
  	{
  		assert(i < col_size());
  		return this->value[i];
  	}
  
      //////////////////////////////////////////////////////////////
      // Constructors
  
      template <typename T> 
      inline tmat4x4<T>::tmat4x4()
      {
  		value_type Zero(0);
  		value_type One(1);
          this->value[0] = col_type(One, Zero, Zero, Zero);
          this->value[1] = col_type(Zero, One, Zero, Zero);
          this->value[2] = col_type(Zero, Zero, One, Zero);
          this->value[3] = col_type(Zero, Zero, Zero, One);
      }
  
      template <typename T> 
      inline tmat4x4<T>::tmat4x4
  	(
  		tmat4x4<T> const & m
  	)
      {
          this->value[0] = m.value[0];
          this->value[1] = m.value[1];
          this->value[2] = m.value[2];
          this->value[3] = m.value[3];
      }
  
      template <typename T> 
      inline tmat4x4<T>::tmat4x4
  	(
  		ctor
  	)
      {}
  
      template <typename T> 
      inline tmat4x4<T>::tmat4x4
  	(
  		value_type const & s
  	)
      {
  		value_type const Zero(0);
          this->value[0] = col_type(s, Zero, Zero, Zero);
          this->value[1] = col_type(Zero, s, Zero, Zero);
          this->value[2] = col_type(Zero, Zero, s, Zero);
          this->value[3] = col_type(Zero, Zero, Zero, s);
      }
  
      template <typename T> 
      inline tmat4x4<T>::tmat4x4
      (
          value_type const & x0, value_type const & y0, value_type const & z0, value_type const & w0,
          value_type const & x1, value_type const & y1, value_type const & z1, value_type const & w1,
          value_type const & x2, value_type const & y2, value_type const & z2, value_type const & w2,
          value_type const & x3, value_type const & y3, value_type const & z3, value_type const & w3
      )
      {
          this->value[0] = col_type(x0, y0, z0, w0);
          this->value[1] = col_type(x1, y1, z1, w1);
          this->value[2] = col_type(x2, y2, z2, w2);
          this->value[3] = col_type(x3, y3, z3, w3);
      }
  
      template <typename T> 
      inline tmat4x4<T>::tmat4x4
      (
          col_type const & v0, 
          col_type const & v1, 
          col_type const & v2,
          col_type const & v3
      )
      {
          this->value[0] = v0;
          this->value[1] = v1;
          this->value[2] = v2;
          this->value[3] = v3;
      }
  
      template <typename T> 
      template <typename U> 
      inline tmat4x4<T>::tmat4x4
  	(
  		tmat4x4<U> const & m
  	)
      {
          this->value[0] = col_type(m[0]);
          this->value[1] = col_type(m[1]);
          this->value[2] = col_type(m[2]);
          this->value[3] = col_type(m[3]);
  	}
  
      template <typename T> 
      inline tmat4x4<T>::tmat4x4
  	(
  		tmat2x2<T> const & m
  	)
      {
          this->value[0] = col_type(m[0], detail::tvec2<T>(0));
          this->value[1] = col_type(m[1], detail::tvec2<T>(0));
          this->value[2] = col_type(value_type(0));
          this->value[3] = col_type(value_type(0), value_type(0), value_type(0), value_type(1));
      }
  
      template <typename T> 
      inline tmat4x4<T>::tmat4x4
  	(
  		tmat3x3<T> const & m
  	)
      {
          this->value[0] = col_type(m[0], value_type(0));
          this->value[1] = col_type(m[1], value_type(0));
          this->value[2] = col_type(m[2], value_type(0));
          this->value[3] = col_type(value_type(0), value_type(0), value_type(0), value_type(1));
      }
  
  	template <typename T> 
      inline tmat4x4<T>::tmat4x4
  	(
  		tmat2x3<T> const & m
  	)
      {
          this->value[0] = col_type(m[0], value_type(0));
          this->value[1] = col_type(m[1], value_type(0));
          this->value[2] = col_type(value_type(0));
          this->value[3] = col_type(value_type(0), value_type(0), value_type(0), value_type(1));
      }
  
      template <typename T> 
      inline tmat4x4<T>::tmat4x4
  	(
  		tmat3x2<T> const & m
  	)
      {
          this->value[0] = col_type(m[0], detail::tvec2<T>(0));
          this->value[1] = col_type(m[1], detail::tvec2<T>(0));
          this->value[2] = col_type(m[2], detail::tvec2<T>(0));
          this->value[3] = col_type(value_type(0), value_type(0), value_type(0), value_type(1));
      }
  
      template <typename T> 
      inline tmat4x4<T>::tmat4x4
  	(
  		tmat2x4<T> const & m
  	)
      {
          this->value[0] = m[0];
          this->value[1] = m[1];
          this->value[2] = col_type(T(0));
          this->value[3] = col_type(T(0), T(0), T(0), T(1));
      }
  
      template <typename T> 
      inline tmat4x4<T>::tmat4x4
  	(
  		tmat4x2<T> const & m
  	)
      {
          this->value[0] = col_type(m[0], detail::tvec2<T>(0));
          this->value[1] = col_type(m[1], detail::tvec2<T>(0));
          this->value[2] = col_type(T(0));
          this->value[3] = col_type(T(0), T(0), T(0), T(1));
      }
  
      template <typename T> 
      inline tmat4x4<T>::tmat4x4
  	(
  		tmat3x4<T> const & m
  	)
      {
          this->value[0] = m[0];
          this->value[1] = m[1];
          this->value[2] = m[2];
          this->value[3] = col_type(T(0), T(0), T(0), T(1));
      }
  
      template <typename T> 
      inline tmat4x4<T>::tmat4x4
  	(
  		tmat4x3<T> const & m
  	)
      {
          this->value[0] = col_type(m[0], T(0));
          this->value[1] = col_type(m[1], T(0));
          this->value[2] = col_type(m[2], T(0));
          this->value[3] = col_type(m[3], T(1));
      }
  
      //////////////////////////////////////////////////////////////
      // Operators
  
      template <typename T> 
      inline tmat4x4<T>& tmat4x4<T>::operator= 
  	(
  		tmat4x4<T> const & m
  	)
      {
          //memcpy could be faster
          //memcpy(&this->value, &m.value, 16 * sizeof(valType));
          this->value[0] = m[0];
          this->value[1] = m[1];
          this->value[2] = m[2];
          this->value[3] = m[3];
          return *this;
      }
  
      template <typename T> 
  	template <typename U> 
      inline tmat4x4<T>& tmat4x4<T>::operator= 
  	(
  		tmat4x4<U> const & m
  	)
      {
          //memcpy could be faster
          //memcpy(&this->value, &m.value, 16 * sizeof(valType));
          this->value[0] = m[0];
          this->value[1] = m[1];
          this->value[2] = m[2];
          this->value[3] = m[3];
          return *this;
      }
  
      template <typename T> 
  	template <typename U> 
      inline tmat4x4<T>& tmat4x4<T>::operator+= 
  	(
  		U const & s
  	)
      {
          this->value[0] += s;
          this->value[1] += s;
          this->value[2] += s;
          this->value[3] += s;
          return *this;
      }
  
      template <typename T> 
  	template <typename U> 
      inline tmat4x4<T>& tmat4x4<T>::operator+= 
  	(
  		tmat4x4<U> const & m
  	)
      {
          this->value[0] += m[0];
          this->value[1] += m[1];
          this->value[2] += m[2];
          this->value[3] += m[3];
          return *this;
      }
  
      template <typename T> 
  	template <typename U> 
      inline tmat4x4<T> & tmat4x4<T>::operator-= 
  	(
  		U const & s
  	)
      {
          this->value[0] -= s;
          this->value[1] -= s;
          this->value[2] -= s;
          this->value[3] -= s;
          return *this;
      }
  
      template <typename T> 
  	template <typename U>
      inline tmat4x4<T> & tmat4x4<T>::operator-= 
  	(
  		tmat4x4<U> const & m
  	)
      {
          this->value[0] -= m[0];
          this->value[1] -= m[1];
          this->value[2] -= m[2];
          this->value[3] -= m[3];
          return *this;
      }
  
      template <typename T> 
  	template <typename U>
      inline tmat4x4<T> & tmat4x4<T>::operator*= 
  	(
  		U const & s
  	)
      {
          this->value[0] *= s;
          this->value[1] *= s;
          this->value[2] *= s;
          this->value[3] *= s;
          return *this;
      }
  
      template <typename T> 
  	template <typename U>
      inline tmat4x4<T> & tmat4x4<T>::operator*= 
  	(
  		tmat4x4<U> const & m
  	)
      {
          return (*this = *this * m);
      }
  
      template <typename T> 
  	template <typename U>
      inline tmat4x4<T> & tmat4x4<T>::operator/= 
  	(
  		U const & s
  	)
      {
          this->value[0] /= s;
          this->value[1] /= s;
          this->value[2] /= s;
          this->value[3] /= s;
          return *this;
      }
  
      template <typename T> 
  	template <typename U>
      inline tmat4x4<T> & tmat4x4<T>::operator/= 
  	(
  		tmat4x4<U> const & m
  	)
      {
          return (*this = *this / m);
      }
  
      template <typename T> 
      inline tmat4x4<T> & tmat4x4<T>::operator++ ()
      {
          ++this->value[0];
          ++this->value[1];
          ++this->value[2];
          ++this->value[3];
          return *this;
      }
  
      template <typename T> 
      inline tmat4x4<T> & tmat4x4<T>::operator-- ()
      {
          --this->value[0];
          --this->value[1];
          --this->value[2];
          --this->value[3];
          return *this;
      }
  
      template <typename T> 
      inline tmat4x4<T> tmat4x4<T>::_inverse() const
      {
          // Calculate all mat2 determinants
          value_type SubFactor00 = this->value[2][2] * this->value[3][3] - this->value[3][2] * this->value[2][3];
          value_type SubFactor01 = this->value[2][1] * this->value[3][3] - this->value[3][1] * this->value[2][3];
          value_type SubFactor02 = this->value[2][1] * this->value[3][2] - this->value[3][1] * this->value[2][2];
          value_type SubFactor03 = this->value[2][0] * this->value[3][3] - this->value[3][0] * this->value[2][3];
          value_type SubFactor04 = this->value[2][0] * this->value[3][2] - this->value[3][0] * this->value[2][2];
          value_type SubFactor05 = this->value[2][0] * this->value[3][1] - this->value[3][0] * this->value[2][1];
          value_type SubFactor06 = this->value[1][2] * this->value[3][3] - this->value[3][2] * this->value[1][3];
          value_type SubFactor07 = this->value[1][1] * this->value[3][3] - this->value[3][1] * this->value[1][3];
          value_type SubFactor08 = this->value[1][1] * this->value[3][2] - this->value[3][1] * this->value[1][2];
          value_type SubFactor09 = this->value[1][0] * this->value[3][3] - this->value[3][0] * this->value[1][3];
          value_type SubFactor10 = this->value[1][0] * this->value[3][2] - this->value[3][0] * this->value[1][2];
          value_type SubFactor11 = this->value[1][1] * this->value[3][3] - this->value[3][1] * this->value[1][3];
          value_type SubFactor12 = this->value[1][0] * this->value[3][1] - this->value[3][0] * this->value[1][1];
          value_type SubFactor13 = this->value[1][2] * this->value[2][3] - this->value[2][2] * this->value[1][3];
          value_type SubFactor14 = this->value[1][1] * this->value[2][3] - this->value[2][1] * this->value[1][3];
          value_type SubFactor15 = this->value[1][1] * this->value[2][2] - this->value[2][1] * this->value[1][2];
          value_type SubFactor16 = this->value[1][0] * this->value[2][3] - this->value[2][0] * this->value[1][3];
          value_type SubFactor17 = this->value[1][0] * this->value[2][2] - this->value[2][0] * this->value[1][2];
          value_type SubFactor18 = this->value[1][0] * this->value[2][1] - this->value[2][0] * this->value[1][1];
  
          tmat4x4<T> Inverse(
              + (this->value[1][1] * SubFactor00 - this->value[1][2] * SubFactor01 + this->value[1][3] * SubFactor02),
              - (this->value[1][0] * SubFactor00 - this->value[1][2] * SubFactor03 + this->value[1][3] * SubFactor04),
              + (this->value[1][0] * SubFactor01 - this->value[1][1] * SubFactor03 + this->value[1][3] * SubFactor05),
              - (this->value[1][0] * SubFactor02 - this->value[1][1] * SubFactor04 + this->value[1][2] * SubFactor05),
  
              - (this->value[0][1] * SubFactor00 - this->value[0][2] * SubFactor01 + this->value[0][3] * SubFactor02),
              + (this->value[0][0] * SubFactor00 - this->value[0][2] * SubFactor03 + this->value[0][3] * SubFactor04),
              - (this->value[0][0] * SubFactor01 - this->value[0][1] * SubFactor03 + this->value[0][3] * SubFactor05),
              + (this->value[0][0] * SubFactor02 - this->value[0][1] * SubFactor04 + this->value[0][2] * SubFactor05),
  
              + (this->value[0][1] * SubFactor06 - this->value[0][2] * SubFactor07 + this->value[0][3] * SubFactor08),
              - (this->value[0][0] * SubFactor06 - this->value[0][2] * SubFactor09 + this->value[0][3] * SubFactor10),
              + (this->value[0][0] * SubFactor11 - this->value[0][1] * SubFactor09 + this->value[0][3] * SubFactor12),
              - (this->value[0][0] * SubFactor08 - this->value[0][1] * SubFactor10 + this->value[0][2] * SubFactor12),
  
              - (this->value[0][1] * SubFactor13 - this->value[0][2] * SubFactor14 + this->value[0][3] * SubFactor15),
              + (this->value[0][0] * SubFactor13 - this->value[0][2] * SubFactor16 + this->value[0][3] * SubFactor17),
              - (this->value[0][0] * SubFactor14 - this->value[0][1] * SubFactor16 + this->value[0][3] * SubFactor18),
              + (this->value[0][0] * SubFactor15 - this->value[0][1] * SubFactor17 + this->value[0][2] * SubFactor18));
  
          value_type Determinant = 
  			+ this->value[0][0] * Inverse[0][0] 
  			+ this->value[0][1] * Inverse[1][0] 
  			+ this->value[0][2] * Inverse[2][0] 
  			+ this->value[0][3] * Inverse[3][0];
  
          Inverse /= Determinant;
          return Inverse;
      }
  
  	// Binary operators
      template <typename T> 
      inline tmat4x4<T> operator+ 
  	(
  		tmat4x4<T> const & m, 
  		typename tmat4x4<T>::value_type const & s
  	)
      {
          return tmat4x4<T>(
              m[0] + s,
              m[1] + s,
              m[2] + s,
              m[3] + s);
      }
  
      template <typename T> 
      inline tmat4x4<T> operator+ 
  	(
  		typename tmat4x4<T>::value_type const & s, 
  		tmat4x4<T> const & m
  	)
      {
          return tmat4x4<T>(
              m[0] + s,
              m[1] + s,
              m[2] + s,
              m[3] + s);
      }
  
      template <typename T> 
      inline tmat4x4<T> operator+ 
  	(
  		tmat4x4<T> const & m1, 
  		tmat4x4<T> const & m2
  	)
      {
          return tmat4x4<T>(
              m1[0] + m2[0],
              m1[1] + m2[1],
              m1[2] + m2[2],
              m1[3] + m2[3]);
      }
      
      template <typename T> 
      inline tmat4x4<T> operator- 
  	(
  		tmat4x4<T> const & m, 
  		typename tmat4x4<T>::value_type const & s
  	)
      {
          return tmat4x4<T>(
              m[0] - s,
              m[1] - s,
              m[2] - s,
              m[3] - s);
      }
  
      template <typename T> 
      inline tmat4x4<T> operator- 
  	(
  		typename tmat4x4<T>::value_type const & s, 
  		tmat4x4<T> const & m
  	)
      {
          return tmat4x4<T>(
              s - m[0],
              s - m[1],
              s - m[2],
              s - m[3]);
      }
  
      template <typename T> 
      inline tmat4x4<T> operator- 
  	(
  		tmat4x4<T> const & m1, 
  		tmat4x4<T> const & m2
  	)
      {
          return tmat4x4<T>(
              m1[0] - m2[0],
              m1[1] - m2[1],
              m1[2] - m2[2],
              m1[3] - m2[3]);
      }
  
      template <typename T> 
      inline tmat4x4<T> operator* 
  	(
  		tmat4x4<T> const & m, 
  		typename tmat4x4<T>::value_type const  & s
  	)
      {
          return tmat4x4<T>(
              m[0] * s,
              m[1] * s,
              m[2] * s,
              m[3] * s);
      }
  
      template <typename T> 
      inline tmat4x4<T> operator* 
  	(
  		typename tmat4x4<T>::value_type const & s, 
  		tmat4x4<T> const & m
  	)
      {
          return tmat4x4<T>(
              m[0] * s,
              m[1] * s,
              m[2] * s,
              m[3] * s);
      }
  
      template <typename T> 
      inline typename tmat4x4<T>::col_type operator* 
  	(
  		tmat4x4<T> const & m, 
  		typename tmat4x4<T>::row_type const & v
  	)
      {
          return typename tmat4x4<T>::col_type(
              m[0][0] * v.x + m[1][0] * v.y + m[2][0] * v.z + m[3][0] * v.w,
              m[0][1] * v.x + m[1][1] * v.y + m[2][1] * v.z + m[3][1] * v.w,
              m[0][2] * v.x + m[1][2] * v.y + m[2][2] * v.z + m[3][2] * v.w,
              m[0][3] * v.x + m[1][3] * v.y + m[2][3] * v.z + m[3][3] * v.w);
      }
  
      template <typename T> 
      inline typename tmat4x4<T>::row_type operator* 
  	(
  		typename tmat4x4<T>::col_type const & v, 
  		tmat4x4<T> const & m
  	)
      {
          return typename tmat4x4<T>::row_type(
              m[0][0] * v.x + m[0][1] * v.y + m[0][2] * v.z + m[0][3] * v.w,
              m[1][0] * v.x + m[1][1] * v.y + m[1][2] * v.z + m[1][3] * v.w,
              m[2][0] * v.x + m[2][1] * v.y + m[2][2] * v.z + m[2][3] * v.w,
              m[3][0] * v.x + m[3][1] * v.y + m[3][2] * v.z + m[3][3] * v.w);
      }
  
      template <typename T> 
      inline tmat4x4<T> operator* 
  	(
  		tmat4x4<T> const & m1, 
  		tmat4x4<T> const & m2
  	)
      {
  		typename tmat4x4<T>::col_type const SrcA0 = m1[0];
  		typename tmat4x4<T>::col_type const SrcA1 = m1[1];
  		typename tmat4x4<T>::col_type const SrcA2 = m1[2];
  		typename tmat4x4<T>::col_type const SrcA3 = m1[3];
  
  		typename tmat4x4<T>::col_type const SrcB0 = m2[0];
  		typename tmat4x4<T>::col_type const SrcB1 = m2[1];
  		typename tmat4x4<T>::col_type const SrcB2 = m2[2];
  		typename tmat4x4<T>::col_type const SrcB3 = m2[3];
  
          tmat4x4<T> Result(tmat4x4<T>::null);
  		Result[0] = SrcA0 * SrcB0[0] + SrcA1 * SrcB0[1] + SrcA2 * SrcB0[2] + SrcA3 * SrcB0[3];
  		Result[1] = SrcA0 * SrcB1[0] + SrcA1 * SrcB1[1] + SrcA2 * SrcB1[2] + SrcA3 * SrcB1[3];
  		Result[2] = SrcA0 * SrcB2[0] + SrcA1 * SrcB2[1] + SrcA2 * SrcB2[2] + SrcA3 * SrcB2[3];
  		Result[3] = SrcA0 * SrcB3[0] + SrcA1 * SrcB3[1] + SrcA2 * SrcB3[2] + SrcA3 * SrcB3[3];
          return Result;
      }
  
      template <typename T> 
      inline tmat4x4<T> operator/ 
  	(
  		tmat4x4<T> const & m, 
  		typename tmat4x4<T>::value_type const & s
  	)
      {
          return tmat4x4<T>(
              m[0] / s,
              m[1] / s,
              m[2] / s,
              m[3] / s);
      }
  
      template <typename T> 
      inline tmat4x4<T> operator/ 
  	(
  		typename tmat4x4<T>::value_type const & s, 
  		tmat4x4<T> const & m
  	)
      {
          return tmat4x4<T>(
              s / m[0],
              s / m[1],
              s / m[2],
              s / m[3]);
      }
  
      template <typename T> 
      inline typename tmat4x4<T>::col_type operator/ 
  	(
  		tmat4x4<T> const & m, 
  		typename tmat4x4<T>::row_type const & v
  	)
      {
          return m._inverse() * v;
      }
  
      template <typename T> 
      inline typename tmat4x4<T>::row_type operator/ 
  	(
  		typename tmat4x4<T>::col_type const & v, 
  		tmat4x4<T> const & m
  	)
      {
          return v * m._inverse();
      }
   
      template <typename T> 
      inline tmat4x4<T> operator/ 
  	(
  		tmat4x4<T> const & m1, 
  		tmat4x4<T> const & m2
  	)
      {
          return m1 * m2._inverse();
      }
  
  	// Unary constant operators
      template <typename T> 
      inline tmat4x4<T> const operator- 
  	(
  		tmat4x4<T> const & m
  	)
      {
          return tmat4x4<T>(
              -m[0], 
              -m[1],
              -m[2],
              -m[3]);
      }
  
      template <typename T> 
      inline tmat4x4<T> const operator++ 
  	(
  		tmat4x4<T> const & m, 
  		int
  	) 
      {
          return tmat4x4<T>(
              m[0] + typename tmat4x4<T>::value_type(1),
              m[1] + typename tmat4x4<T>::value_type(1),
              m[2] + typename tmat4x4<T>::value_type(1),
              m[3] + typename tmat4x4<T>::value_type(1));
      }
  
      template <typename T> 
      inline tmat4x4<T> const operator-- 
  	(
  		tmat4x4<T> const & m, 
  		int
  	) 
      {
          return tmat4x4<T>(
              m[0] - typename tmat4x4<T>::value_type(1),
              m[1] - typename tmat4x4<T>::value_type(1),
              m[2] - typename tmat4x4<T>::value_type(1),
              m[3] - typename tmat4x4<T>::value_type(1));
      }
  
  } //namespace detail
  } //namespace glm
  