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+<?xml version="1.0" encoding="UTF-8" ?>
+<class name="Quaternion" 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 Quaternion 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="Quaternion" qualifiers="constructor">
+ <return type="Quaternion" />
+ <description>
+ Constructs a default-initialized quaternion with all components set to [code]0[/code].
+ </description>
+ </method>
+ <method name="Quaternion" qualifiers="constructor">
+ <return type="Quaternion" />
+ <argument index="0" name="from" type="Quaternion" />
+ <description>
+ Constructs a [Quaternion] as a copy of the given [Quaternion].
+ </description>
+ </method>
+ <method name="Quaternion" qualifiers="constructor">
+ <return type="Quaternion" />
+ <argument index="0" name="arc_from" type="Vector3" />
+ <argument index="1" name="arc_to" type="Vector3" />
+ <description>
+ </description>
+ </method>
+ <method name="Quaternion" qualifiers="constructor">
+ <return type="Quaternion" />
+ <argument index="0" name="axis" type="Vector3" />
+ <argument index="1" name="angle" type="float" />
+ <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="Quaternion" qualifiers="constructor">
+ <return type="Quaternion" />
+ <argument index="0" name="euler" type="Vector3" />
+ <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="Quaternion" qualifiers="constructor">
+ <return type="Quaternion" />
+ <argument index="0" name="from" type="Basis" />
+ <description>
+ Constructs a quaternion from the given [Basis].
+ </description>
+ </method>
+ <method name="Quaternion" qualifiers="constructor">
+ <return type="Quaternion" />
+ <argument index="0" name="x" type="float" />
+ <argument index="1" name="y" type="float" />
+ <argument index="2" name="z" type="float" />
+ <argument index="3" name="w" type="float" />
+ <description>
+ Constructs a quaternion defined by the given values.
+ </description>
+ </method>
+ <method name="angle_to" qualifiers="const">
+ <return type="float" />
+ <argument index="0" name="to" type="Quaternion" />
+ <description>
+ Returns the angle between this quaternion and [code]to[/code]. This is the magnitude of the angle you would need to rotate by to get from one to the other.
+ [b]Note:[/b] This method has an abnormally high amount of floating-point error, so methods such as [code]is_zero_approx[/code] will not work reliably.
+ </description>
+ </method>
+ <method name="cubic_slerp" qualifiers="const">
+ <return type="Quaternion" />
+ <argument index="0" name="b" type="Quaternion" />
+ <argument index="1" name="pre_a" type="Quaternion" />
+ <argument index="2" name="post_b" type="Quaternion" />
+ <argument index="3" name="weight" type="float" />
+ <description>
+ Performs a cubic spherical interpolation between quaternions [code]pre_a[/code], this vector, [code]b[/code], and [code]post_b[/code], by the given amount [code]weight[/code].
+ </description>
+ </method>
+ <method name="dot" qualifiers="const">
+ <return type="float" />
+ <argument index="0" name="with" type="Quaternion" />
+ <description>
+ Returns the dot product of two quaternions.
+ </description>
+ </method>
+ <method name="get_euler" qualifiers="const">
+ <return type="Vector3" />
+ <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" qualifiers="const">
+ <return type="Quaternion" />
+ <description>
+ Returns the inverse of the quaternion.
+ </description>
+ </method>
+ <method name="is_equal_approx" qualifiers="const">
+ <return type="bool" />
+ <argument index="0" name="to" type="Quaternion" />
+ <description>
+ Returns [code]true[/code] if this quaternion and [code]quat[/code] are approximately equal, by running [method @GlobalScope.is_equal_approx] on each component.
+ </description>
+ </method>
+ <method name="is_normalized" qualifiers="const">
+ <return type="bool" />
+ <description>
+ Returns whether the quaternion is normalized or not.
+ </description>
+ </method>
+ <method name="length" qualifiers="const">
+ <return type="float" />
+ <description>
+ Returns the length of the quaternion.
+ </description>
+ </method>
+ <method name="length_squared" qualifiers="const">
+ <return type="float" />
+ <description>
+ Returns the length of the quaternion, squared.
+ </description>
+ </method>
+ <method name="normalized" qualifiers="const">
+ <return type="Quaternion" />
+ <description>
+ Returns a copy of the quaternion, normalized to unit length.
+ </description>
+ </method>
+ <method name="operator !=" qualifiers="operator">
+ <return type="bool" />
+ <argument index="0" name="right" type="Quaternion" />
+ <description>
+ </description>
+ </method>
+ <method name="operator *" qualifiers="operator">
+ <return type="Vector3" />
+ <argument index="0" name="right" type="Vector3" />
+ <description>
+ </description>
+ </method>
+ <method name="operator *" qualifiers="operator">
+ <return type="Quaternion" />
+ <argument index="0" name="right" type="Quaternion" />
+ <description>
+ </description>
+ </method>
+ <method name="operator *" qualifiers="operator">
+ <return type="Quaternion" />
+ <argument index="0" name="right" type="float" />
+ <description>
+ </description>
+ </method>
+ <method name="operator *" qualifiers="operator">
+ <return type="Quaternion" />
+ <argument index="0" name="right" type="int" />
+ <description>
+ </description>
+ </method>
+ <method name="operator +" qualifiers="operator">
+ <return type="Quaternion" />
+ <argument index="0" name="right" type="Quaternion" />
+ <description>
+ </description>
+ </method>
+ <method name="operator -" qualifiers="operator">
+ <return type="Quaternion" />
+ <argument index="0" name="right" type="Quaternion" />
+ <description>
+ </description>
+ </method>
+ <method name="operator /" qualifiers="operator">
+ <return type="Quaternion" />
+ <argument index="0" name="right" type="float" />
+ <description>
+ </description>
+ </method>
+ <method name="operator /" qualifiers="operator">
+ <return type="Quaternion" />
+ <argument index="0" name="right" type="int" />
+ <description>
+ </description>
+ </method>
+ <method name="operator ==" qualifiers="operator">
+ <return type="bool" />
+ <argument index="0" name="right" type="Quaternion" />
+ <description>
+ </description>
+ </method>
+ <method name="operator []" qualifiers="operator">
+ <return type="float" />
+ <argument index="0" name="index" type="int" />
+ <description>
+ </description>
+ </method>
+ <method name="operator unary+" qualifiers="operator">
+ <return type="Quaternion" />
+ <description>
+ </description>
+ </method>
+ <method name="operator unary-" qualifiers="operator">
+ <return type="Quaternion" />
+ <description>
+ </description>
+ </method>
+ <method name="slerp" qualifiers="const">
+ <return type="Quaternion" />
+ <argument index="0" name="to" type="Quaternion" />
+ <argument index="1" name="weight" type="float" />
+ <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" qualifiers="const">
+ <return type="Quaternion" />
+ <argument index="0" name="to" type="Quaternion" />
+ <argument index="1" name="weight" type="float" />
+ <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="Quaternion(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>