0.9.8
dual_quaternion.hpp
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1 
17 #pragma once
18 
19 // Dependency:
20 #include "../glm.hpp"
21 #include "../gtc/constants.hpp"
22 #include "../gtc/quaternion.hpp"
23 
24 #if GLM_MESSAGES == GLM_MESSAGES_ENABLED && !defined(GLM_EXT_INCLUDED)
25 # pragma message("GLM: GLM_GTX_dual_quaternion extension included")
26 #endif
27 
28 namespace glm
29 {
32 
33  template <typename T, precision P = defaultp>
34  struct tdualquat
35  {
36  // -- Implementation detail --
37 
38  typedef T value_type;
39  typedef glm::tquat<T, P> part_type;
40 
41  // -- Data --
42 
43  glm::tquat<T, P> real, dual;
44 
45  // -- Component accesses --
46 
47  typedef length_t length_type;
49  GLM_FUNC_DECL GLM_CONSTEXPR length_type length() const;
50 
51  GLM_FUNC_DECL part_type & operator[](length_type i);
52  GLM_FUNC_DECL part_type const & operator[](length_type i) const;
53 
54  // -- Implicit basic constructors --
55 
56  GLM_FUNC_DECL GLM_CONSTEXPR tdualquat() GLM_DEFAULT_CTOR;
57  GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tdualquat<T, P> const & d) GLM_DEFAULT;
58  template <precision Q>
59  GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tdualquat<T, Q> const & d);
60 
61  // -- Explicit basic constructors --
62 
63  GLM_FUNC_DECL GLM_CONSTEXPR_CTOR explicit tdualquat(ctor);
64  GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tquat<T, P> const & real);
65  GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tquat<T, P> const & orientation, tvec3<T, P> const & translation);
66  GLM_FUNC_DECL GLM_CONSTEXPR tdualquat(tquat<T, P> const & real, tquat<T, P> const & dual);
67 
68  // -- Conversion constructors --
69 
70  template <typename U, precision Q>
71  GLM_FUNC_DECL GLM_CONSTEXPR GLM_EXPLICIT tdualquat(tdualquat<U, Q> const & q);
72 
73  GLM_FUNC_DECL GLM_EXPLICIT tdualquat(tmat2x4<T, P> const & holder_mat);
74  GLM_FUNC_DECL GLM_EXPLICIT tdualquat(tmat3x4<T, P> const & aug_mat);
75 
76  // -- Unary arithmetic operators --
77 
78  GLM_FUNC_DECL tdualquat<T, P> & operator=(tdualquat<T, P> const & m) GLM_DEFAULT;
79 
80  template <typename U>
81  GLM_FUNC_DECL tdualquat<T, P> & operator=(tdualquat<U, P> const & m);
82  template <typename U>
83  GLM_FUNC_DECL tdualquat<T, P> & operator*=(U s);
84  template <typename U>
85  GLM_FUNC_DECL tdualquat<T, P> & operator/=(U s);
86  };
87 
88  // -- Unary bit operators --
89 
90  template <typename T, precision P>
91  GLM_FUNC_DECL tdualquat<T, P> operator+(tdualquat<T, P> const & q);
92 
93  template <typename T, precision P>
94  GLM_FUNC_DECL tdualquat<T, P> operator-(tdualquat<T, P> const & q);
95 
96  // -- Binary operators --
97 
98  template <typename T, precision P>
99  GLM_FUNC_DECL tdualquat<T, P> operator+(tdualquat<T, P> const & q, tdualquat<T, P> const & p);
100 
101  template <typename T, precision P>
102  GLM_FUNC_DECL tdualquat<T, P> operator*(tdualquat<T, P> const & q, tdualquat<T, P> const & p);
103 
104  template <typename T, precision P>
105  GLM_FUNC_DECL tvec3<T, P> operator*(tdualquat<T, P> const & q, tvec3<T, P> const & v);
106 
107  template <typename T, precision P>
108  GLM_FUNC_DECL tvec3<T, P> operator*(tvec3<T, P> const & v, tdualquat<T, P> const & q);
109 
110  template <typename T, precision P>
111  GLM_FUNC_DECL tvec4<T, P> operator*(tdualquat<T, P> const & q, tvec4<T, P> const & v);
112 
113  template <typename T, precision P>
114  GLM_FUNC_DECL tvec4<T, P> operator*(tvec4<T, P> const & v, tdualquat<T, P> const & q);
115 
116  template <typename T, precision P>
117  GLM_FUNC_DECL tdualquat<T, P> operator*(tdualquat<T, P> const & q, T const & s);
118 
119  template <typename T, precision P>
120  GLM_FUNC_DECL tdualquat<T, P> operator*(T const & s, tdualquat<T, P> const & q);
121 
122  template <typename T, precision P>
123  GLM_FUNC_DECL tdualquat<T, P> operator/(tdualquat<T, P> const & q, T const & s);
124 
125  // -- Boolean operators --
126 
127  template <typename T, precision P>
128  GLM_FUNC_DECL bool operator==(tdualquat<T, P> const & q1, tdualquat<T, P> const & q2);
129 
130  template <typename T, precision P>
131  GLM_FUNC_DECL bool operator!=(tdualquat<T, P> const & q1, tdualquat<T, P> const & q2);
132 
136  template <typename T, precision P>
137  GLM_FUNC_DECL tdualquat<T, P> normalize(tdualquat<T, P> const & q);
138 
142  template <typename T, precision P>
143  GLM_FUNC_DECL tdualquat<T, P> lerp(tdualquat<T, P> const & x, tdualquat<T, P> const & y, T const & a);
144 
148  template <typename T, precision P>
149  GLM_FUNC_DECL tdualquat<T, P> inverse(tdualquat<T, P> const & q);
150 
154  template <typename T, precision P>
155  GLM_FUNC_DECL tmat2x4<T, P> mat2x4_cast(tdualquat<T, P> const & x);
156 
160  template <typename T, precision P>
161  GLM_FUNC_DECL tmat3x4<T, P> mat3x4_cast(tdualquat<T, P> const & x);
162 
166  template <typename T, precision P>
167  GLM_FUNC_DECL tdualquat<T, P> dualquat_cast(tmat2x4<T, P> const & x);
168 
172  template <typename T, precision P>
173  GLM_FUNC_DECL tdualquat<T, P> dualquat_cast(tmat3x4<T, P> const & x);
174 
175 
179  typedef tdualquat<float, lowp> lowp_dualquat;
180 
184  typedef tdualquat<float, mediump> mediump_dualquat;
185 
189  typedef tdualquat<float, highp> highp_dualquat;
190 
191 
195  typedef tdualquat<float, lowp> lowp_fdualquat;
196 
200  typedef tdualquat<float, mediump> mediump_fdualquat;
201 
205  typedef tdualquat<float, highp> highp_fdualquat;
206 
207 
211  typedef tdualquat<double, lowp> lowp_ddualquat;
212 
216  typedef tdualquat<double, mediump> mediump_ddualquat;
217 
221  typedef tdualquat<double, highp> highp_ddualquat;
222 
223 
224 #if(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))
225  typedef highp_fdualquat dualquat;
229 
233  typedef highp_fdualquat fdualquat;
234 #elif(defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))
235  typedef highp_fdualquat dualquat;
236  typedef highp_fdualquat fdualquat;
237 #elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && defined(GLM_PRECISION_MEDIUMP_FLOAT) && !defined(GLM_PRECISION_LOWP_FLOAT))
238  typedef mediump_fdualquat dualquat;
239  typedef mediump_fdualquat fdualquat;
240 #elif(!defined(GLM_PRECISION_HIGHP_FLOAT) && !defined(GLM_PRECISION_MEDIUMP_FLOAT) && defined(GLM_PRECISION_LOWP_FLOAT))
241  typedef lowp_fdualquat dualquat;
242  typedef lowp_fdualquat fdualquat;
243 #else
244 # error "GLM error: multiple default precision requested for single-precision floating-point types"
245 #endif
246 
247 
248 #if(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))
249  typedef highp_ddualquat ddualquat;
253 #elif(defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))
254  typedef highp_ddualquat ddualquat;
255 #elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && defined(GLM_PRECISION_MEDIUMP_DOUBLE) && !defined(GLM_PRECISION_LOWP_DOUBLE))
256  typedef mediump_ddualquat ddualquat;
257 #elif(!defined(GLM_PRECISION_HIGHP_DOUBLE) && !defined(GLM_PRECISION_MEDIUMP_DOUBLE) && defined(GLM_PRECISION_LOWP_DOUBLE))
258  typedef lowp_ddualquat ddualquat;
259 #else
260 # error "GLM error: Multiple default precision requested for double-precision floating-point types"
261 #endif
262 
264 } //namespace glm
265 
266 #include "dual_quaternion.inl"
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.
tdualquat< float, lowp > lowp_fdualquat
Dual-quaternion of low 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.
highp_fdualquat fdualquat
Dual-quaternion of single-precision floating-point numbers.
tdualquat< double, mediump > mediump_ddualquat
Dual-quaternion of medium double-precision floating-point numbers.
GLM_FUNC_DECL tdualquat< T, P > normalize(tdualquat< T, P > const &q)
Returns the normalized quaternion.
tdualquat< float, mediump > mediump_fdualquat
Dual-quaternion of medium single-precision floating-point numbers.
Definition: _noise.hpp:11
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.
highp_fdualquat dualquat
Dual-quaternion of floating-point numbers.
tdualquat< float, highp > highp_fdualquat
Dual-quaternion of high single-precision floating-point numbers.
tdualquat< float, mediump > mediump_dualquat
Dual-quaternion of medium single-precision floating-point numbers.
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.
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_dualquat
Dual-quaternion of high single-precision floating-point numbers.
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_dualquat
Dual-quaternion of low single-precision floating-point numbers.
GLM_FUNC_DECL T length(vecType< T, P > const &x)
Returns the length of x, i.e., sqrt(x * x).
GLM_FUNC_DECL tdualquat< T, P > inverse(tdualquat< T, P > const &q)
Returns the q inverse.
tdualquat< double, highp > highp_ddualquat
Dual-quaternion of high double-precision floating-point numbers.