0.9.6
gtc/quaternion.hpp
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1 
44 #pragma once
45 
46 // Dependency:
47 #include "../mat3x3.hpp"
48 #include "../mat4x4.hpp"
49 #include "../vec3.hpp"
50 #include "../vec4.hpp"
51 #include "../gtc/constants.hpp"
52 
53 #if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
54 # pragma message("GLM: GLM_GTC_quaternion extension included")
55 #endif
56 
57 namespace glm
58 {
61 
62  template <typename T, precision P>
63  struct tquat
64  {
65  typedef tquat<T, P> type;
66  typedef T value_type;
67 
68  public:
69  T x, y, z, w;
70 
72  // Component accesses
73 
74 # ifdef GLM_FORCE_SIZE_FUNC
75  typedef size_t size_type;
77  GLM_FUNC_DECL GLM_CONSTEXPR size_type size() const;
78 
79  GLM_FUNC_DECL T & operator[](size_type i);
80  GLM_FUNC_DECL T const & operator[](size_type i) const;
81 # else
82  typedef length_t length_type;
84  GLM_FUNC_DECL GLM_CONSTEXPR length_type length() const;
85 
86  GLM_FUNC_DECL T & operator[](length_type i);
87  GLM_FUNC_DECL T const & operator[](length_type i) const;
88 # endif//GLM_FORCE_SIZE_FUNC
89 
91  // Implicit basic constructors
92 
93  GLM_FUNC_DECL tquat();
94  template <precision Q>
95  GLM_FUNC_DECL tquat(tquat<T, Q> const & q);
96 
98  // Explicit basic constructors
99 
100  GLM_FUNC_DECL explicit tquat(ctor);
101  GLM_FUNC_DECL explicit tquat(T const & s, tvec3<T, P> const & v);
102  GLM_FUNC_DECL tquat(T const & w, T const & x, T const & y, T const & z);
103 
105  // Convertions
106 
107 # ifdef GLM_FORCE_EXPLICIT_CTOR
108  template <typename U, precision Q>
109  GLM_FUNC_DECL explicit tquat(tquat<U, Q> const & q);
110 # else
111  template <typename U, precision Q>
112  GLM_FUNC_DECL tquat(tquat<U, Q> const & q);
113 # endif
114 
115  // explicit conversion operators
116 # if GLM_HAS_EXPLICIT_CONVERSION_OPERATORS
117  GLM_FUNC_DECL explicit operator tmat3x3<T, P>();
118  GLM_FUNC_DECL explicit operator tmat4x4<T, P>();
119 # endif
120 
127  GLM_FUNC_DECL explicit tquat(tvec3<T, P> const & u, tvec3<T, P> const & v);
128 
130  GLM_FUNC_DECL explicit tquat(tvec3<T, P> const & eulerAngles);
131  GLM_FUNC_DECL explicit tquat(tmat3x3<T, P> const & m);
132  GLM_FUNC_DECL explicit tquat(tmat4x4<T, P> const & m);
133 
135  // Operators
136  GLM_FUNC_DECL tquat<T, P> & operator+=(tquat<T, P> const & q);
137  GLM_FUNC_DECL tquat<T, P> & operator*=(tquat<T, P> const & q);
138  GLM_FUNC_DECL tquat<T, P> & operator*=(T const & s);
139  GLM_FUNC_DECL tquat<T, P> & operator/=(T const & s);
140  };
141 
142  template <typename T, precision P>
143  GLM_FUNC_DECL tquat<T, P> operator-(tquat<T, P> const & q);
144 
145  template <typename T, precision P>
146  GLM_FUNC_DECL tquat<T, P> operator+(tquat<T, P> const & q, tquat<T, P> const & p);
147 
148  template <typename T, precision P>
149  GLM_FUNC_DECL tquat<T, P> operator*(tquat<T, P> const & q, tquat<T, P> const & p);
150 
151  template <typename T, precision P>
152  GLM_FUNC_DECL tvec3<T, P> operator*(tquat<T, P> const & q, tvec3<T, P> const & v);
153 
154  template <typename T, precision P>
155  GLM_FUNC_DECL tvec3<T, P> operator*(tvec3<T, P> const & v, tquat<T, P> const & q);
156 
157  template <typename T, precision P>
158  GLM_FUNC_DECL tvec4<T, P> operator*(tquat<T, P> const & q, tvec4<T, P> const & v);
159 
160  template <typename T, precision P>
161  GLM_FUNC_DECL tvec4<T, P> operator*(tvec4<T, P> const & v, tquat<T, P> const & q);
162 
163  template <typename T, precision P>
164  GLM_FUNC_DECL tquat<T, P> operator*(tquat<T, P> const & q, T const & s);
165 
166  template <typename T, precision P>
167  GLM_FUNC_DECL tquat<T, P> operator*(T const & s, tquat<T, P> const & q);
168 
169  template <typename T, precision P>
170  GLM_FUNC_DECL tquat<T, P> operator/(tquat<T, P> const & q, T const & s);
171 
175  template <typename T, precision P>
176  GLM_FUNC_DECL T length(tquat<T, P> const & q);
177 
181  template <typename T, precision P>
182  GLM_FUNC_DECL tquat<T, P> normalize(tquat<T, P> const & q);
183 
187  template <typename T, precision P, template <typename, precision> class quatType>
188  GLM_FUNC_DECL T dot(quatType<T, P> const & x, quatType<T, P> const & y);
189 
200  template <typename T, precision P>
201  GLM_FUNC_DECL tquat<T, P> mix(tquat<T, P> const & x, tquat<T, P> const & y, T a);
202 
211  template <typename T, precision P>
212  GLM_FUNC_DECL tquat<T, P> lerp(tquat<T, P> const & x, tquat<T, P> const & y, T a);
213 
222  template <typename T, precision P>
223  GLM_FUNC_DECL tquat<T, P> slerp(tquat<T, P> const & x, tquat<T, P> const & y, T a);
224 
228  template <typename T, precision P>
229  GLM_FUNC_DECL tquat<T, P> conjugate(tquat<T, P> const & q);
230 
234  template <typename T, precision P>
235  GLM_FUNC_DECL tquat<T, P> inverse(tquat<T, P> const & q);
236 
244  template <typename T, precision P>
245  GLM_FUNC_DECL tquat<T, P> rotate(tquat<T, P> const & q, T const & angle, tvec3<T, P> const & axis);
246 
251  template <typename T, precision P>
252  GLM_FUNC_DECL tvec3<T, P> eulerAngles(tquat<T, P> const & x);
253 
257  template <typename T, precision P>
258  GLM_FUNC_DECL T roll(tquat<T, P> const & x);
259 
263  template <typename T, precision P>
264  GLM_FUNC_DECL T pitch(tquat<T, P> const & x);
265 
269  template <typename T, precision P>
270  GLM_FUNC_DECL T yaw(tquat<T, P> const & x);
271 
275  template <typename T, precision P>
276  GLM_FUNC_DECL tmat3x3<T, P> mat3_cast(tquat<T, P> const & x);
277 
281  template <typename T, precision P>
282  GLM_FUNC_DECL tmat4x4<T, P> mat4_cast(tquat<T, P> const & x);
283 
287  template <typename T, precision P>
288  GLM_FUNC_DECL tquat<T, P> quat_cast(tmat3x3<T, P> const & x);
289 
293  template <typename T, precision P>
294  GLM_FUNC_DECL tquat<T, P> quat_cast(tmat4x4<T, P> const & x);
295 
299  template <typename T, precision P>
300  GLM_FUNC_DECL T angle(tquat<T, P> const & x);
301 
305  template <typename T, precision P>
306  GLM_FUNC_DECL tvec3<T, P> axis(tquat<T, P> const & x);
307 
314  template <typename T, precision P>
315  GLM_FUNC_DECL tquat<T, P> angleAxis(T const & angle, tvec3<T, P> const & axis);
316 
322  template <typename T, precision P>
323  GLM_FUNC_DECL tvec4<bool, P> lessThan(tquat<T, P> const & x, tquat<T, P> const & y);
324 
330  template <typename T, precision P>
331  GLM_FUNC_DECL tvec4<bool, P> lessThanEqual(tquat<T, P> const & x, tquat<T, P> const & y);
332 
338  template <typename T, precision P>
339  GLM_FUNC_DECL tvec4<bool, P> greaterThan(tquat<T, P> const & x, tquat<T, P> const & y);
340 
346  template <typename T, precision P>
347  GLM_FUNC_DECL tvec4<bool, P> greaterThanEqual(tquat<T, P> const & x, tquat<T, P> const & y);
348 
354  template <typename T, precision P>
355  GLM_FUNC_DECL tvec4<bool, P> equal(tquat<T, P> const & x, tquat<T, P> const & y);
356 
362  template <typename T, precision P>
363  GLM_FUNC_DECL tvec4<bool, P> notEqual(tquat<T, P> const & x, tquat<T, P> const & y);
365 } //namespace glm
366 
367 #include "quaternion.inl"
glm::quat_cast
GLM_FUNC_DECL tquat< T, P > quat_cast(tmat4x4< T, P > const &x)
Converts a 4 * 4 matrix to a quaternion.
glm::rotate
GLM_FUNC_DECL tquat< T, P > rotate(tquat< T, P > const &q, T const &angle, tvec3< T, P > const &axis)
Rotates a quaternion from a vector of 3 components axis and an angle.
glm::lessThanEqual
GLM_FUNC_DECL tvec4< bool, P > lessThanEqual(tquat< T, P > const &x, tquat< T, P > const &y)
Returns the component-wise comparison of result x <= y.
glm::lessThan
GLM_FUNC_DECL tvec4< bool, P > lessThan(tquat< T, P > const &x, tquat< T, P > const &y)
Returns the component-wise comparison result of x < y.
glm::notEqual
GLM_FUNC_DECL tvec4< bool, P > notEqual(tquat< T, P > const &x, tquat< T, P > const &y)
Returns the component-wise comparison of result x != y.
glm::inverse
GLM_FUNC_DECL tquat< T, P > inverse(tquat< T, P > const &q)
Returns the q inverse.
glm::length
GLM_FUNC_DECL T length(tquat< T, P > const &q)
Returns the length of the quaternion.
glm::axis
GLM_FUNC_DECL tvec3< T, P > axis(tquat< T, P > const &x)
Returns the q rotation axis.
glm::mix
GLM_FUNC_DECL tquat< T, P > mix(tquat< T, P > const &x, tquat< T, P > const &y, T a)
Spherical linear interpolation of two quaternions.
glm::mat3_cast
GLM_FUNC_DECL tmat3x3< T, P > mat3_cast(tquat< T, P > const &x)
Converts a quaternion to a 3 * 3 matrix.
glm::dot
GLM_FUNC_DECL T dot(quatType< T, P > const &x, quatType< T, P > const &y)
Returns dot product of q1 and q2, i.e., q1[0] * q2[0] + q1[1] * q2[1] + ...
glm::angle
GLM_FUNC_DECL T angle(tquat< T, P > const &x)
Returns the quaternion rotation angle.
glm::eulerAngles
GLM_FUNC_DECL tvec3< T, P > eulerAngles(tquat< T, P > const &x)
Returns euler angles, yitch as x, yaw as y, roll as z.
glm::greaterThan
GLM_FUNC_DECL tvec4< bool, P > greaterThan(tquat< T, P > const &x, tquat< T, P > const &y)
Returns the component-wise comparison of result x > y.
glm::normalize
GLM_FUNC_DECL tquat< T, P > normalize(tquat< T, P > const &q)
Returns the normalized quaternion.
glm::equal
GLM_FUNC_DECL tvec4< bool, P > equal(tquat< T, P > const &x, tquat< T, P > const &y)
Returns the component-wise comparison of result x == y.
glm::pitch
GLM_FUNC_DECL T pitch(tquat< T, P > const &x)
Returns pitch value of euler angles expressed in radians.
glm::greaterThanEqual
GLM_FUNC_DECL tvec4< bool, P > greaterThanEqual(tquat< T, P > const &x, tquat< T, P > const &y)
Returns the component-wise comparison of result x >= y.
glm::roll
GLM_FUNC_DECL T roll(tquat< T, P > const &x)
Returns roll value of euler angles expressed in radians.
glm
Definition: _noise.hpp:40
glm::lerp
GLM_FUNC_DECL tquat< T, P > lerp(tquat< T, P > const &x, tquat< T, P > const &y, T a)
Linear interpolation of two quaternions.
glm::conjugate
GLM_FUNC_DECL tquat< T, P > conjugate(tquat< T, P > const &q)
Returns the q conjugate.
glm::mat4_cast
GLM_FUNC_DECL tmat4x4< T, P > mat4_cast(tquat< T, P > const &x)
Converts a quaternion to a 4 * 4 matrix.
glm::slerp
GLM_FUNC_DECL tquat< T, P > slerp(tquat< T, P > const &x, tquat< T, P > const &y, T a)
Spherical linear interpolation of two quaternions.
glm::angleAxis
GLM_FUNC_DECL tquat< T, P > angleAxis(T const &angle, tvec3< T, P > const &axis)
Build a quaternion from an angle and a normalized axis.
glm::yaw
GLM_FUNC_DECL T yaw(tquat< T, P > const &x)
Returns yaw value of euler angles expressed in radians.
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