1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
|
<?xml version="1.0" encoding="UTF-8" ?>
<class name="Quat" version="4.0">
<brief_description>
Quaternion.
</brief_description>
<description>
A unit quaternion used for representing 3D rotations. Quaternions need to be normalized to be used for rotation.
It is similar to Basis, which implements matrix representation of rotations, and can be parametrized using both an axis-angle pair or Euler angles. Basis stores rotation, scale, and shearing, while Quat only stores rotation.
Due to its compactness and the way it is stored in memory, certain operations (obtaining axis-angle and performing SLERP, in particular) are more efficient and robust against floating-point errors.
</description>
<tutorials>
<link title="Using 3D transforms">https://docs.godotengine.org/en/latest/tutorials/3d/using_transforms.html#interpolating-with-quaternions</link>
<link title="Third Person Shooter Demo">https://godotengine.org/asset-library/asset/678</link>
</tutorials>
<methods>
<method name="Quat" qualifiers="constructor">
<return type="Quat">
</return>
<description>
Constructs a default-initialized quaternion with all components set to [code]0[/code].
</description>
</method>
<method name="Quat" qualifiers="constructor">
<return type="Quat">
</return>
<argument index="0" name="from" type="Quat">
</argument>
<description>
Constructs a [Quat] as a copy of the given [Quat].
</description>
</method>
<method name="Quat" qualifiers="constructor">
<return type="Quat">
</return>
<argument index="0" name="arc_from" type="Vector3">
</argument>
<argument index="1" name="arc_to" type="Vector3">
</argument>
<description>
</description>
</method>
<method name="Quat" qualifiers="constructor">
<return type="Quat">
</return>
<argument index="0" name="axis" type="Vector3">
</argument>
<argument index="1" name="angle" type="float">
</argument>
<description>
Constructs a quaternion that will rotate around the given axis by the specified angle. The axis must be a normalized vector.
</description>
</method>
<method name="Quat" qualifiers="constructor">
<return type="Quat">
</return>
<argument index="0" name="euler" type="Vector3">
</argument>
<description>
Constructs a quaternion that will perform a rotation specified by Euler angles (in the YXZ convention: when decomposing, first Z, then X, and Y last), given in the vector format as (X angle, Y angle, Z angle).
</description>
</method>
<method name="Quat" qualifiers="constructor">
<return type="Quat">
</return>
<argument index="0" name="from" type="Basis">
</argument>
<description>
Constructs a quaternion from the given [Basis].
</description>
</method>
<method name="Quat" qualifiers="constructor">
<return type="Quat">
</return>
<argument index="0" name="x" type="float">
</argument>
<argument index="1" name="y" type="float">
</argument>
<argument index="2" name="z" type="float">
</argument>
<argument index="3" name="w" type="float">
</argument>
<description>
Constructs a quaternion defined by the given values.
</description>
</method>
<method name="cubic_slerp">
<return type="Quat">
</return>
<argument index="0" name="b" type="Quat">
</argument>
<argument index="1" name="pre_a" type="Quat">
</argument>
<argument index="2" name="post_b" type="Quat">
</argument>
<argument index="3" name="t" type="float">
</argument>
<description>
Performs a cubic spherical interpolation between quaternions [code]preA[/code], this vector, [code]b[/code], and [code]postB[/code], by the given amount [code]t[/code].
</description>
</method>
<method name="dot">
<return type="float">
</return>
<argument index="0" name="with" type="Quat">
</argument>
<description>
Returns the dot product of two quaternions.
</description>
</method>
<method name="get_euler">
<return type="Vector3">
</return>
<description>
Returns Euler angles (in the YXZ convention: when decomposing, first Z, then X, and Y last) corresponding to the rotation represented by the unit quaternion. Returned vector contains the rotation angles in the format (X angle, Y angle, Z angle).
</description>
</method>
<method name="inverse">
<return type="Quat">
</return>
<description>
Returns the inverse of the quaternion.
</description>
</method>
<method name="is_equal_approx">
<return type="bool">
</return>
<argument index="0" name="to" type="Quat">
</argument>
<description>
Returns [code]true[/code] if this quaterion and [code]quat[/code] are approximately equal, by running [method @GDScript.is_equal_approx] on each component.
</description>
</method>
<method name="is_normalized">
<return type="bool">
</return>
<description>
Returns whether the quaternion is normalized or not.
</description>
</method>
<method name="length">
<return type="float">
</return>
<description>
Returns the length of the quaternion.
</description>
</method>
<method name="length_squared">
<return type="float">
</return>
<description>
Returns the length of the quaternion, squared.
</description>
</method>
<method name="normalized">
<return type="Quat">
</return>
<description>
Returns a copy of the quaternion, normalized to unit length.
</description>
</method>
<method name="operator !=" qualifiers="operator">
<return type="bool">
</return>
<argument index="0" name="right" type="Quat">
</argument>
<description>
</description>
</method>
<method name="operator *" qualifiers="operator">
<return type="Quat">
</return>
<argument index="0" name="right" type="Quat">
</argument>
<description>
</description>
</method>
<method name="operator *" qualifiers="operator">
<return type="Vector3">
</return>
<argument index="0" name="right" type="Vector3">
</argument>
<description>
</description>
</method>
<method name="operator *" qualifiers="operator">
<return type="Quat">
</return>
<argument index="0" name="right" type="float">
</argument>
<description>
</description>
</method>
<method name="operator *" qualifiers="operator">
<return type="Quat">
</return>
<argument index="0" name="right" type="int">
</argument>
<description>
</description>
</method>
<method name="operator +" qualifiers="operator">
<return type="Quat">
</return>
<description>
</description>
</method>
<method name="operator +" qualifiers="operator">
<return type="Quat">
</return>
<argument index="0" name="right" type="Quat">
</argument>
<description>
</description>
</method>
<method name="operator -" qualifiers="operator">
<return type="Quat">
</return>
<description>
</description>
</method>
<method name="operator -" qualifiers="operator">
<return type="Quat">
</return>
<argument index="0" name="right" type="Quat">
</argument>
<description>
</description>
</method>
<method name="operator /" qualifiers="operator">
<return type="Quat">
</return>
<argument index="0" name="right" type="float">
</argument>
<description>
</description>
</method>
<method name="operator /" qualifiers="operator">
<return type="Quat">
</return>
<argument index="0" name="right" type="int">
</argument>
<description>
</description>
</method>
<method name="operator ==" qualifiers="operator">
<return type="bool">
</return>
<argument index="0" name="right" type="Quat">
</argument>
<description>
</description>
</method>
<method name="operator []" qualifiers="operator">
<return type="float">
</return>
<argument index="0" name="index" type="int">
</argument>
<description>
</description>
</method>
<method name="slerp">
<return type="Quat">
</return>
<argument index="0" name="b" type="Quat">
</argument>
<argument index="1" name="t" type="float">
</argument>
<description>
Returns the result of the spherical linear interpolation between this quaternion and [code]to[/code] by amount [code]weight[/code].
[b]Note:[/b] Both quaternions must be normalized.
</description>
</method>
<method name="slerpni">
<return type="Quat">
</return>
<argument index="0" name="b" type="Quat">
</argument>
<argument index="1" name="t" type="float">
</argument>
<description>
Returns the result of the spherical linear interpolation between this quaternion and [code]to[/code] by amount [code]weight[/code], but without checking if the rotation path is not bigger than 90 degrees.
</description>
</method>
</methods>
<members>
<member name="w" type="float" setter="" getter="" default="1.0">
W component of the quaternion (real part).
Quaternion components should usually not be manipulated directly.
</member>
<member name="x" type="float" setter="" getter="" default="0.0">
X component of the quaternion (imaginary [code]i[/code] axis part).
Quaternion components should usually not be manipulated directly.
</member>
<member name="y" type="float" setter="" getter="" default="0.0">
Y component of the quaternion (imaginary [code]j[/code] axis part).
Quaternion components should usually not be manipulated directly.
</member>
<member name="z" type="float" setter="" getter="" default="0.0">
Z component of the quaternion (imaginary [code]k[/code] axis part).
Quaternion components should usually not be manipulated directly.
</member>
</members>
<constants>
<constant name="IDENTITY" value="Quat( 0, 0, 0, 1 )">
The identity quaternion, representing no rotation. Equivalent to an identity [Basis] matrix. If a vector is transformed by an identity quaternion, it will not change.
</constant>
</constants>
</class>
|