45 #include "../gtc/constants.hpp" 
   46 #include "../gtc/quaternion.hpp" 
   48 #if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED)) 
   49 #       pragma message("GLM: GLM_GTX_dual_quaternion extension included") 
   57         template <
typename T, precision P>
 
   61                 typedef glm::tquat<T, P> part_type;
 
   64                 glm::tquat<T, P> real, dual;
 
   66 #if GLM_FORCE_SIZE_FUNC 
   67                 GLM_FUNC_DECL GLM_CONSTEXPR 
size_t size() 
const;
 
   70                 GLM_FUNC_DECL GLM_CONSTEXPR length_t 
length() 
const;
 
   72 #endif//GLM_FORCE_SIZE_FUNC 
   77                 GLM_FUNC_DECL tdualquat();
 
   78                 template <precision Q>
 
   79                 GLM_FUNC_DECL tdualquat(tdualquat<T, Q> 
const & d);
 
   84                 GLM_FUNC_DECL 
explicit tdualquat(ctor);
 
   85                 GLM_FUNC_DECL 
explicit tdualquat(tquat<T, P> 
const & real);
 
   86                 GLM_FUNC_DECL tdualquat(tquat<T, P> 
const & 
orientation, tvec3<T, P> 
const & translation);
 
   87                 GLM_FUNC_DECL tdualquat(tquat<T, P> 
const & real, tquat<T, P> 
const & dual);
 
   92 #               ifdef GLM_FORCE_EXPLICIT_CTOR 
   93                         template <
typename U, precision Q>
 
   94                         GLM_FUNC_DECL 
explicit tdualquat(tdualquat<U, Q> 
const & q);
 
   96                         template <
typename U, precision Q>
 
   97                         GLM_FUNC_DECL tdualquat(tdualquat<U, Q> 
const & q);
 
  100                 GLM_FUNC_DECL 
explicit tdualquat(tmat2x4<T, P> 
const & holder_mat);
 
  101                 GLM_FUNC_DECL 
explicit tdualquat(tmat3x4<T, P> 
const & aug_mat);
 
  104                 GLM_FUNC_DECL part_type & operator[](
int i);
 
  105                 GLM_FUNC_DECL part_type 
const & operator[](
int i) 
const;
 
  108                 GLM_FUNC_DECL tdualquat<T, P> & operator*=(T 
const & s);
 
  109                 GLM_FUNC_DECL tdualquat<T, P> & operator/=(T 
const & s);
 
  112         template <
typename T, precision P>
 
  113         GLM_FUNC_DECL tquat<T, P> operator- (
 
  114                 tquat<T, P> 
const & q);
 
  116         template <
typename T, precision P>
 
  117         GLM_FUNC_DECL tdualquat<T, P> operator+ (
 
  118                 tdualquat<T, P> 
const & q,
 
  119                 tdualquat<T, P> 
const & p);
 
  121         template <
typename T, precision P>
 
  122         GLM_FUNC_DECL tdualquat<T, P> operator* (
 
  123                 tdualquat<T, P> 
const & q,
 
  124                 tdualquat<T, P> 
const & p);
 
  126         template <
typename T, precision P>
 
  127         GLM_FUNC_DECL tvec3<T, P> operator* (
 
  128                 tquat<T, P> 
const & q,
 
  129                 tvec3<T, P> 
const & v);
 
  131         template <
typename T, precision P>
 
  132         GLM_FUNC_DECL tvec3<T, P> operator* (
 
  133                 tvec3<T, P> 
const & v,
 
  134                 tquat<T, P> 
const & q);
 
  136         template <
typename T, precision P>
 
  137         GLM_FUNC_DECL tvec4<T, P> operator* (
 
  138                 tquat<T, P> 
const & q,
 
  139                 tvec4<T, P> 
const & v);
 
  141         template <
typename T, precision P>
 
  142         GLM_FUNC_DECL tvec4<T, P> operator* (
 
  143                 tvec4<T, P> 
const & v,
 
  144                 tquat<T, P> 
const & q);
 
  146         template <
typename T, precision P>
 
  147         GLM_FUNC_DECL tdualquat<T, P> operator* (
 
  148                 tdualquat<T, P> 
const & q,
 
  151         template <
typename T, precision P>
 
  152         GLM_FUNC_DECL tdualquat<T, P> operator* (
 
  154                 tdualquat<T, P> 
const & q);
 
  156         template <
typename T, precision P>
 
  157         GLM_FUNC_DECL tdualquat<T, P> operator/ (
 
  158                 tdualquat<T, P> 
const & q,
 
  164         template <
typename T, precision P>
 
  166                 tdualquat<T, P> 
const & q);
 
  171         template <
typename T, precision P>
 
  172         GLM_FUNC_DECL tdualquat<T, P> 
lerp(
 
  173                 tdualquat<T, P> 
const & x,
 
  174                 tdualquat<T, P> 
const & y,
 
  180         template <
typename T, precision P>
 
  181         GLM_FUNC_DECL tdualquat<T, P> 
inverse(
 
  182                 tdualquat<T, P> 
const & q);
 
  187         template <
typename T, precision P>
 
  189                 tdualquat<T, P> 
const & x);
 
  194         template <
typename T, precision P>
 
  196                 tdualquat<T, P> 
const & x);
 
  201         template <
typename T, precision P>
 
  203                 tmat2x4<T, P> 
const & x);
 
  208         template <
typename T, precision P>
 
  210                 tmat3x4<T, P> 
const & x);
 
  261 #if(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT)) 
  271 #elif(defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT)) 
  274 #elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT)) 
  277 #elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && defined(GLM_PRECISION_LOWP_FLOAT)) 
  281 #       error "GLM error: multiple default precision requested for single-precision floating-point types" 
  285 #if(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE)) 
  290 #elif(defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE)) 
  292 #elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE)) 
  294 #elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && defined(GLM_PRECISION_LOWP_DOUBLE)) 
  297 #       error "GLM error: Multiple default precision requested for double-precision floating-point types" 
  303 #include "dual_quaternion.inl" 
GLM_FUNC_DECL tdualquat< T, P > lerp(tdualquat< T, P > const &x, tdualquat< T, P > const &y, T const &a)
Returns the linear interpolation of two dual quaternion. 
tdualquat< double, lowp > lowp_ddualquat
Dual-quaternion of low double-precision floating-point numbers. 
highp_ddualquat ddualquat
Dual-quaternion of default double-precision floating-point numbers. 
GLM_FUNC_DECL T length(vecType< T, P > const &x)
Returns the length of x, i.e., sqrt(x * x). 
tdualquat< double, highp > highp_ddualquat
Dual-quaternion of high double-precision floating-point numbers. 
GLM_FUNC_DECL tdualquat< T, P > normalize(tdualquat< T, P > const &q)
Returns the normalized quaternion. 
GLM_FUNC_DECL tmat2x4< T, P > mat2x4_cast(tdualquat< T, P > const &x)
Converts a quaternion to a 2 * 4 matrix. 
tdualquat< float, lowp > lowp_fdualquat
Dual-quaternion of low single-precision floating-point numbers. 
highp_fdualquat dualquat
Dual-quaternion of floating-point numbers. 
GLM_FUNC_DECL tmat3x4< T, P > mat3x4_cast(tdualquat< T, P > const &x)
Converts a quaternion to a 3 * 4 matrix. 
tdualquat< float, highp > highp_fdualquat
Dual-quaternion of high single-precision floating-point numbers. 
GLM_FUNC_DECL tdualquat< T, P > dualquat_cast(tmat3x4< T, P > const &x)
Converts a 3 * 4 matrix (augmented matrix rotation + translation) to a quaternion. 
tdualquat< float, highp > highp_dualquat
Dual-quaternion of high single-precision floating-point numbers. 
tdualquat< float, mediump > mediump_fdualquat
Dual-quaternion of medium single-precision floating-point numbers. 
tdualquat< float, mediump > mediump_dualquat
Dual-quaternion of medium single-precision floating-point numbers. 
highp_fdualquat fdualquat
Dual-quaternion of single-precision floating-point numbers. 
tdualquat< float, lowp > lowp_dualquat
Dual-quaternion of low single-precision floating-point numbers. 
GLM_FUNC_DECL tmat4x4< T, P > orientation(tvec3< T, P > const &Normal, tvec3< T, P > const &Up)
Build a rotation matrix from a normal and a up vector. 
GLM_FUNC_DECL tdualquat< T, P > inverse(tdualquat< T, P > const &q)
Returns the q inverse. 
tdualquat< double, mediump > mediump_ddualquat
Dual-quaternion of medium double-precision floating-point numbers.