20 #include "../gtc/constants.hpp"    21 #include "../gtc/quaternion.hpp"    23 #ifndef GLM_ENABLE_EXPERIMENTAL    24 #   error "GLM: GLM_GTX_dual_quaternion is an experimental extension and may change in the future. Use #define GLM_ENABLE_EXPERIMENTAL before including it, if you really want to use it."    27 #if GLM_MESSAGES == GLM_ENABLE && !defined(GLM_EXT_INCLUDED)    28 #   pragma message("GLM: GLM_GTX_dual_quaternion extension included")    36     template<
typename T, qualifier Q = defaultp>
    42         typedef qua<T, Q> part_type;
    50         typedef length_t length_type;
    52         GLM_FUNC_DECL 
static GLM_CONSTEXPR length_type 
length(){
return 2;}
    54         GLM_FUNC_DECL part_type & operator[](length_type i);
    55         GLM_FUNC_DECL part_type 
const& operator[](length_type i) 
const;
    59         GLM_FUNC_DECL GLM_CONSTEXPR tdualquat() GLM_DEFAULT;
    60         GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tdualquat<T, Q> const& d) GLM_DEFAULT;
    62         GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tdualquat<T, P> const& d);
    66         GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(qua<T, Q> const& real);
    67         GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(qua<T, Q> const& 
orientation, vec<3, T, Q> const& translation);
    68         GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(qua<T, Q> const& real, qua<T, Q> const& dual);
    72         template<typename U, qualifier P>
    73         GLM_FUNC_DECL GLM_CONSTEXPR GLM_EXPLICIT tdualquat(tdualquat<U, P> const& q);
    75         GLM_FUNC_DECL GLM_EXPLICIT GLM_CONSTEXPR tdualquat(mat<2, 4, T, Q> const& holder_mat);
    76         GLM_FUNC_DECL GLM_EXPLICIT GLM_CONSTEXPR tdualquat(mat<3, 4, T, Q> const& aug_mat);
    80         GLM_FUNC_DECL tdualquat<T, Q> & operator=(tdualquat<T, Q> const& m) GLM_DEFAULT;
    83         GLM_FUNC_DECL tdualquat<T, Q> & operator=(tdualquat<U, Q> const& m);
    85         GLM_FUNC_DECL tdualquat<T, Q> & operator*=(U s);
    87         GLM_FUNC_DECL tdualquat<T, Q> & operator/=(U s);
    92     template<typename T, qualifier Q>
    93     GLM_FUNC_DECL tdualquat<T, Q> operator+(tdualquat<T, Q> const& q);
    95     template<typename T, qualifier Q>
    96     GLM_FUNC_DECL tdualquat<T, Q> operator-(tdualquat<T, Q> const& q);
   100     template<typename T, qualifier Q>
   101     GLM_FUNC_DECL tdualquat<T, Q> operator+(tdualquat<T, Q> const& q, tdualquat<T, Q> const& p);
   103     template<typename T, qualifier Q>
   104     GLM_FUNC_DECL tdualquat<T, Q> operator*(tdualquat<T, Q> const& q, tdualquat<T, Q> const& p);
   106     template<typename T, qualifier Q>
   107     GLM_FUNC_DECL vec<3, T, Q> operator*(tdualquat<T, Q> const& q, vec<3, T, Q> const& v);
   109     template<typename T, qualifier Q>
   110     GLM_FUNC_DECL vec<3, T, Q> operator*(vec<3, T, Q> const& v, tdualquat<T, Q> const& q);
   112     template<typename T, qualifier Q>
   113     GLM_FUNC_DECL vec<4, T, Q> operator*(tdualquat<T, Q> const& q, vec<4, T, Q> const& v);
   115     template<typename T, qualifier Q>
   116     GLM_FUNC_DECL vec<4, T, Q> operator*(vec<4, T, Q> const& v, tdualquat<T, Q> const& q);
   118     template<typename T, qualifier Q>
   119     GLM_FUNC_DECL tdualquat<T, Q> operator*(tdualquat<T, Q> const& q, T const& s);
   121     template<typename T, qualifier Q>
   122     GLM_FUNC_DECL tdualquat<T, Q> operator*(T const& s, tdualquat<T, Q> const& q);
   124     template<typename T, qualifier Q>
   125     GLM_FUNC_DECL tdualquat<T, Q> operator/(tdualquat<T, Q> const& q, T const& s);
   129     template<typename T, qualifier Q>
   130     GLM_FUNC_DECL 
bool operator==(tdualquat<T, Q> const& q1, tdualquat<T, Q> const& q2);
   132     template<typename T, qualifier Q>
   133     GLM_FUNC_DECL 
bool operator!=(tdualquat<T, Q> const& q1, tdualquat<T, Q> const& q2);
   138     template <typename T, qualifier Q>
   144     template<typename T, qualifier Q>
   145     GLM_FUNC_DECL tdualquat<T, Q> 
normalize(tdualquat<T, Q> const& q);
   150     template<typename T, qualifier Q>
   151     GLM_FUNC_DECL tdualquat<T, Q> 
lerp(tdualquat<T, Q> const& x, tdualquat<T, Q> const& y, T const& a);
   156     template<typename T, qualifier Q>
   157     GLM_FUNC_DECL tdualquat<T, Q> 
inverse(tdualquat<T, Q> const& q);
   162     template<typename T, qualifier Q>
   163     GLM_FUNC_DECL mat<2, 4, T, Q> 
mat2x4_cast(tdualquat<T, Q> const& x);
   168     template<typename T, qualifier Q>
   169     GLM_FUNC_DECL mat<3, 4, T, Q> 
mat3x4_cast(tdualquat<T, Q> const& x);
   174     template<typename T, qualifier Q>
   175     GLM_FUNC_DECL tdualquat<T, Q> 
dualquat_cast(mat<2, 4, T, Q> const& x);
   180     template<typename T, qualifier Q>
   181     GLM_FUNC_DECL tdualquat<T, Q> 
dualquat_cast(mat<3, 4, T, Q> const& x);
   232 #if(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))   242 #elif(defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))   245 #elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))   248 #elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && defined(GLM_PRECISION_LOWP_FLOAT))   252 #   error "GLM error: multiple default precision requested for single-precision floating-point types"   256 #if(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))   261 #elif(defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))   263 #elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))   265 #elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && defined(GLM_PRECISION_LOWP_DOUBLE))   268 #   error "GLM error: Multiple default precision requested for double-precision floating-point types"   274 #include "dual_quaternion.inl" GLM_FUNC_DECL mat< 3, 4, T, Q > mat3x4_cast(tdualquat< T, Q > const &x)
Converts a quaternion to a 3 * 4 matrix. 
tdualquat< double, lowp > lowp_ddualquat
Dual-quaternion of low double-qualifier floating-point numbers. 
GLM_FUNC_DECL tdualquat< T, Q > inverse(tdualquat< T, Q > const &q)
Returns the q inverse. 
tdualquat< float, highp > highp_dualquat
Dual-quaternion of high single-qualifier floating-point numbers. 
GLM_FUNC_DECL tdualquat< T, Q > lerp(tdualquat< T, Q > const &x, tdualquat< T, Q > const &y, T const &a)
Returns the linear interpolation of two dual quaternion. 
tdualquat< float, lowp > lowp_fdualquat
Dual-quaternion of low single-qualifier floating-point numbers. 
highp_fdualquat fdualquat
Dual-quaternion of single-qualifier floating-point numbers. 
GLM_FUNC_DECL mat< 2, 4, T, Q > mat2x4_cast(tdualquat< T, Q > const &x)
Converts a quaternion to a 2 * 4 matrix. 
tdualquat< double, highp > highp_ddualquat
Dual-quaternion of high double-qualifier floating-point numbers. 
tdualquat< float, mediump > mediump_fdualquat
Dual-quaternion of medium single-qualifier floating-point numbers. 
highp_ddualquat ddualquat
Dual-quaternion of default double-qualifier floating-point numbers. 
tdualquat< float, mediump > mediump_dualquat
Dual-quaternion of medium single-qualifier floating-point numbers. 
GLM_FUNC_DECL tdualquat< T, Q > normalize(tdualquat< T, Q > const &q)
Returns the normalized quaternion. 
GLM_FUNC_DECL tdualquat< T, Q > dual_quat_identity()
Creates an identity dual quaternion. 
tdualquat< float, highp > highp_fdualquat
Dual-quaternion of high single-qualifier floating-point numbers. 
tdualquat< double, mediump > mediump_ddualquat
Dual-quaternion of medium double-qualifier floating-point numbers. 
GLM_FUNC_DECL mat< 4, 4, T, Q > orientation(vec< 3, T, Q > const &Normal, vec< 3, T, Q > const &Up)
Build a rotation matrix from a normal and a up vector. 
highp_fdualquat dualquat
Dual-quaternion of floating-point numbers. 
GLM_FUNC_DECL T length(qua< T, Q > const &q)
Returns the norm of a quaternions. 
tdualquat< float, lowp > lowp_dualquat
Dual-quaternion of low single-qualifier floating-point numbers. 
GLM_FUNC_DECL tdualquat< T, Q > dualquat_cast(mat< 3, 4, T, Q > const &x)
Converts a 3 * 4 matrix (augmented matrix rotation + translation) to a quaternion.