3d08becd06
Notably: * `Packed*Array.size()` and `Array.size()`. * Shared methods of `Transform2D` and `Transform3D`. * Shared methods of `Vector2`, `Vector3`, and `Vector2i`. This reduces the Deja Vu when translating the class reference :)
524 lines
22 KiB
XML
524 lines
22 KiB
XML
<?xml version="1.0" encoding="UTF-8" ?>
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<class name="Vector3" version="4.0">
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<brief_description>
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Vector used for 3D math using floating point coordinates.
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</brief_description>
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<description>
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3-element structure that can be used to represent positions in 3D space or any other pair of numeric values.
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It uses floating-point coordinates. See [Vector3i] for its integer counterpart.
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[b]Note:[/b] In a boolean context, a Vector3 will evaluate to [code]false[/code] if it's equal to [code]Vector3(0, 0, 0)[/code]. Otherwise, a Vector3 will always evaluate to [code]true[/code].
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</description>
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<tutorials>
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<link title="Math documentation index">$DOCS_URL/tutorials/math/index.html</link>
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<link title="Vector math">$DOCS_URL/tutorials/math/vector_math.html</link>
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<link title="Advanced vector math">$DOCS_URL/tutorials/math/vectors_advanced.html</link>
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<link title="3Blue1Brown Essence of Linear Algebra">https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab</link>
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<link title="Matrix Transform Demo">https://godotengine.org/asset-library/asset/584</link>
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<link title="All 3D Demos">https://github.com/godotengine/godot-demo-projects/tree/master/3d</link>
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</tutorials>
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<constructors>
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<constructor name="Vector3">
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<return type="Vector3" />
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<description>
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Constructs a default-initialized [Vector3] with all components set to [code]0[/code].
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</description>
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</constructor>
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<constructor name="Vector3">
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<return type="Vector3" />
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<argument index="0" name="from" type="Vector3" />
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<description>
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Constructs a [Vector3] as a copy of the given [Vector3].
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</description>
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</constructor>
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<constructor name="Vector3">
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<return type="Vector3" />
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<argument index="0" name="from" type="Vector3i" />
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<description>
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Constructs a new [Vector3] from [Vector3i].
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</description>
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</constructor>
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<constructor name="Vector3">
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<return type="Vector3" />
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<argument index="0" name="x" type="float" />
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<argument index="1" name="y" type="float" />
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<argument index="2" name="z" type="float" />
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<description>
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Returns a [Vector3] with the given components.
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</description>
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</constructor>
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</constructors>
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<methods>
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<method name="abs" qualifiers="const">
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<return type="Vector3" />
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<description>
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Returns a new vector with all components in absolute values (i.e. positive).
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</description>
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</method>
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<method name="angle_to" qualifiers="const">
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<return type="float" />
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<argument index="0" name="to" type="Vector3" />
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<description>
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Returns the unsigned minimum angle to the given vector, in radians.
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</description>
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</method>
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<method name="bounce" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="n" type="Vector3" />
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<description>
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Returns the vector "bounced off" from a plane defined by the given normal.
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</description>
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</method>
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<method name="ceil" qualifiers="const">
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<return type="Vector3" />
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<description>
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Returns a new vector with all components rounded up (towards positive infinity).
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</description>
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</method>
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<method name="clamp" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="min" type="Vector3" />
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<argument index="1" name="max" type="Vector3" />
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<description>
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Returns a new vector with all components clamped between the components of [code]min[/code] and [code]max[/code], by running [method @GlobalScope.clamp] on each component.
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</description>
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</method>
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<method name="cross" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="with" type="Vector3" />
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<description>
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Returns the cross product of this vector and [code]with[/code].
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</description>
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</method>
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<method name="cubic_interpolate" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="b" type="Vector3" />
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<argument index="1" name="pre_a" type="Vector3" />
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<argument index="2" name="post_b" type="Vector3" />
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<argument index="3" name="weight" type="float" />
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<description>
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Performs a cubic interpolation between this vector and [code]b[/code] using [code]pre_a[/code] and [code]post_b[/code] as handles, and returns the result at position [code]weight[/code]. [code]weight[/code] is on the range of 0.0 to 1.0, representing the amount of interpolation.
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</description>
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</method>
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<method name="direction_to" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="to" type="Vector3" />
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<description>
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Returns the normalized vector pointing from this vector to [code]to[/code]. This is equivalent to using [code](b - a).normalized()[/code].
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</description>
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</method>
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<method name="distance_squared_to" qualifiers="const">
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<return type="float" />
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<argument index="0" name="to" type="Vector3" />
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<description>
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Returns the squared distance between this vector and [code]to[/code].
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This method runs faster than [method distance_to], so prefer it if you need to compare vectors or need the squared distance for some formula.
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</description>
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</method>
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<method name="distance_to" qualifiers="const">
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<return type="float" />
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<argument index="0" name="to" type="Vector3" />
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<description>
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Returns the distance between this vector and [code]to[/code].
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</description>
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</method>
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<method name="dot" qualifiers="const">
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<return type="float" />
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<argument index="0" name="with" type="Vector3" />
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<description>
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Returns the dot product of this vector and [code]with[/code]. This can be used to compare the angle between two vectors. For example, this can be used to determine whether an enemy is facing the player.
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The dot product will be [code]0[/code] for a straight angle (90 degrees), greater than 0 for angles narrower than 90 degrees and lower than 0 for angles wider than 90 degrees.
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When using unit (normalized) vectors, the result will always be between [code]-1.0[/code] (180 degree angle) when the vectors are facing opposite directions, and [code]1.0[/code] (0 degree angle) when the vectors are aligned.
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[b]Note:[/b] [code]a.dot(b)[/code] is equivalent to [code]b.dot(a)[/code].
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</description>
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</method>
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<method name="floor" qualifiers="const">
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<return type="Vector3" />
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<description>
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Returns a new vector with all components rounded down (towards negative infinity).
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</description>
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</method>
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<method name="inverse" qualifiers="const">
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<return type="Vector3" />
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<description>
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Returns the inverse of the vector. This is the same as [code]Vector3(1.0 / v.x, 1.0 / v.y, 1.0 / v.z)[/code].
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</description>
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</method>
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<method name="is_equal_approx" qualifiers="const">
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<return type="bool" />
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<argument index="0" name="to" type="Vector3" />
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<description>
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Returns [code]true[/code] if this vector and [code]v[/code] are approximately equal, by running [method @GlobalScope.is_equal_approx] on each component.
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</description>
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</method>
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<method name="is_normalized" qualifiers="const">
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<return type="bool" />
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<description>
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Returns [code]true[/code] if the vector is normalized, [code]false[/code] otherwise.
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</description>
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</method>
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<method name="length" qualifiers="const">
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<return type="float" />
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<description>
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Returns the length (magnitude) of this vector.
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</description>
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</method>
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<method name="length_squared" qualifiers="const">
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<return type="float" />
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<description>
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Returns the squared length (squared magnitude) of this vector.
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This method runs faster than [method length], so prefer it if you need to compare vectors or need the squared distance for some formula.
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</description>
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</method>
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<method name="lerp" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="to" type="Vector3" />
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<argument index="1" name="weight" type="float" />
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<description>
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Returns the result of the linear interpolation between this vector and [code]to[/code] by amount [code]weight[/code]. [code]weight[/code] is on the range of 0.0 to 1.0, representing the amount of interpolation.
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</description>
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</method>
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<method name="limit_length" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="length" type="float" default="1.0" />
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<description>
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Returns the vector with a maximum length by limiting its length to [code]length[/code].
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</description>
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</method>
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<method name="max_axis_index" qualifiers="const">
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<return type="int" />
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<description>
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Returns the axis of the vector's highest value. See [code]AXIS_*[/code] constants. If all components are equal, this method returns [constant AXIS_X].
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</description>
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</method>
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<method name="min_axis_index" qualifiers="const">
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<return type="int" />
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<description>
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Returns the axis of the vector's lowest value. See [code]AXIS_*[/code] constants. If all components are equal, this method returns [constant AXIS_Z].
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</description>
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</method>
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<method name="move_toward" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="to" type="Vector3" />
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<argument index="1" name="delta" type="float" />
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<description>
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Returns a new vector moved toward [code]to[/code] by the fixed [code]delta[/code] amount. Will not go past the final value.
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</description>
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</method>
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<method name="normalized" qualifiers="const">
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<return type="Vector3" />
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<description>
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Returns the vector scaled to unit length. Equivalent to [code]v / v.length()[/code].
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</description>
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</method>
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<method name="octahedron_decode" qualifiers="static">
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<return type="Vector3" />
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<argument index="0" name="uv" type="Vector2" />
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<description>
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</description>
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</method>
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<method name="octahedron_encode" qualifiers="const">
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<return type="Vector2" />
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<description>
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</description>
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</method>
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<method name="outer" qualifiers="const">
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<return type="Basis" />
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<argument index="0" name="with" type="Vector3" />
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<description>
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Returns the outer product with [code]with[/code].
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</description>
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</method>
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<method name="posmod" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="mod" type="float" />
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<description>
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Returns a vector composed of the [method @GlobalScope.fposmod] of this vector's components and [code]mod[/code].
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</description>
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</method>
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<method name="posmodv" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="modv" type="Vector3" />
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<description>
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Returns a vector composed of the [method @GlobalScope.fposmod] of this vector's components and [code]modv[/code]'s components.
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</description>
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</method>
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<method name="project" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="b" type="Vector3" />
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<description>
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Returns this vector projected onto the vector [code]b[/code].
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</description>
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</method>
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<method name="reflect" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="n" type="Vector3" />
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<description>
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Returns this vector reflected from a plane defined by the given normal.
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</description>
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</method>
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<method name="rotated" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="by_axis" type="Vector3" />
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<argument index="1" name="phi" type="float" />
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<description>
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Rotates this vector around a given axis by [code]phi[/code] radians. The axis must be a normalized vector.
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</description>
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</method>
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<method name="round" qualifiers="const">
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<return type="Vector3" />
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<description>
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Returns a new vector with all components rounded to the nearest integer, with halfway cases rounded away from zero.
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</description>
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</method>
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<method name="sign" qualifiers="const">
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<return type="Vector3" />
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<description>
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Returns a new vector with each component set to one or negative one, depending on the signs of the components, or zero if the component is zero, by calling [method @GlobalScope.sign] on each component.
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</description>
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</method>
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<method name="signed_angle_to" qualifiers="const">
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<return type="float" />
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<argument index="0" name="to" type="Vector3" />
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<argument index="1" name="axis" type="Vector3" />
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<description>
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Returns the signed angle to the given vector, in radians. The sign of the angle is positive in a counter-clockwise direction and negative in a clockwise direction when viewed from the side specified by the [code]axis[/code].
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</description>
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</method>
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<method name="slerp" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="to" type="Vector3" />
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<argument index="1" name="weight" type="float" />
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<description>
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Returns the result of spherical linear interpolation between this vector and [code]to[/code], by amount [code]weight[/code]. [code]weight[/code] is on the range of 0.0 to 1.0, representing the amount of interpolation.
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[b]Note:[/b] Both vectors must be normalized.
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</description>
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</method>
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<method name="slide" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="n" type="Vector3" />
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<description>
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Returns this vector slid along a plane defined by the given normal.
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</description>
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</method>
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<method name="snapped" qualifiers="const">
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<return type="Vector3" />
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<argument index="0" name="step" type="Vector3" />
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<description>
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Returns this vector with each component snapped to the nearest multiple of [code]step[/code]. This can also be used to round to an arbitrary number of decimals.
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</description>
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</method>
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</methods>
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<members>
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<member name="x" type="float" setter="" getter="" default="0.0">
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The vector's X component. Also accessible by using the index position [code][0][/code].
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</member>
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<member name="y" type="float" setter="" getter="" default="0.0">
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The vector's Y component. Also accessible by using the index position [code][1][/code].
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</member>
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<member name="z" type="float" setter="" getter="" default="0.0">
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The vector's Z component. Also accessible by using the index position [code][2][/code].
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</member>
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</members>
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<constants>
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<constant name="AXIS_X" value="0">
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Enumerated value for the X axis. Returned by [method max_axis_index] and [method min_axis_index].
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</constant>
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<constant name="AXIS_Y" value="1">
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Enumerated value for the Y axis. Returned by [method max_axis_index] and [method min_axis_index].
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</constant>
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<constant name="AXIS_Z" value="2">
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Enumerated value for the Z axis. Returned by [method max_axis_index] and [method min_axis_index].
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</constant>
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<constant name="ZERO" value="Vector3(0, 0, 0)">
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Zero vector, a vector with all components set to [code]0[/code].
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</constant>
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<constant name="ONE" value="Vector3(1, 1, 1)">
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One vector, a vector with all components set to [code]1[/code].
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</constant>
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<constant name="INF" value="Vector3(inf, inf, inf)">
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Infinity vector, a vector with all components set to [constant @GDScript.INF].
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</constant>
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<constant name="LEFT" value="Vector3(-1, 0, 0)">
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Left unit vector. Represents the local direction of left, and the global direction of west.
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</constant>
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<constant name="RIGHT" value="Vector3(1, 0, 0)">
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Right unit vector. Represents the local direction of right, and the global direction of east.
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</constant>
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<constant name="UP" value="Vector3(0, 1, 0)">
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Up unit vector.
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</constant>
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<constant name="DOWN" value="Vector3(0, -1, 0)">
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Down unit vector.
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</constant>
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<constant name="FORWARD" value="Vector3(0, 0, -1)">
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Forward unit vector. Represents the local direction of forward, and the global direction of north.
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</constant>
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<constant name="BACK" value="Vector3(0, 0, 1)">
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Back unit vector. Represents the local direction of back, and the global direction of south.
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</constant>
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</constants>
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<operators>
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<operator name="operator !=">
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<return type="bool" />
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<description>
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</description>
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</operator>
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<operator name="operator !=">
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<return type="bool" />
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<argument index="0" name="right" type="Vector3" />
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<description>
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Returns [code]true[/code] if the vectors are not equal.
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[b]Note:[/b] Due to floating-point precision errors, consider using [method is_equal_approx] instead, which is more reliable.
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</description>
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</operator>
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<operator name="operator *">
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<return type="Vector3" />
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<argument index="0" name="right" type="Basis" />
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<description>
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Inversely transforms (multiplies) the [Vector3] by the given [Basis] matrix.
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</description>
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</operator>
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<operator name="operator *">
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<return type="Vector3" />
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<argument index="0" name="right" type="Quaternion" />
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<description>
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Inversely transforms (multiplies) the [Vector3] by the given [Quaternion].
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</description>
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</operator>
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<operator name="operator *">
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<return type="Vector3" />
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<argument index="0" name="right" type="Transform3D" />
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<description>
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Inversely transforms (multiplies) the [Vector3] by the given [Transform3D] transformation matrix.
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</description>
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</operator>
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<operator name="operator *">
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<return type="Vector3" />
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<argument index="0" name="right" type="Vector3" />
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<description>
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Multiplies each component of the [Vector3] by the components of the given [Vector3].
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[codeblock]
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print(Vector3(10, 20, 30) * Vector3(3, 4, 5)) # Prints "(30, 80, 150)"
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[/codeblock]
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</description>
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</operator>
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<operator name="operator *">
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<return type="Vector3" />
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<argument index="0" name="right" type="float" />
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<description>
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Multiplies each component of the [Vector3] by the given [float].
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</description>
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</operator>
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<operator name="operator *">
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<return type="Vector3" />
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<argument index="0" name="right" type="int" />
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<description>
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Multiplies each component of the [Vector3] by the given [int].
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</description>
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</operator>
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<operator name="operator +">
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<return type="Vector3" />
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<argument index="0" name="right" type="Vector3" />
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<description>
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Adds each component of the [Vector3] by the components of the given [Vector3].
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[codeblock]
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print(Vector3(10, 20, 30) + Vector3(3, 4, 5)) # Prints "(13, 24, 35)"
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[/codeblock]
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</description>
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</operator>
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<operator name="operator -">
|
|
<return type="Vector3" />
|
|
<argument index="0" name="right" type="Vector3" />
|
|
<description>
|
|
Subtracts each component of the [Vector3] by the components of the given [Vector3].
|
|
[codeblock]
|
|
print(Vector3(10, 20, 30) - Vector3(3, 4, 5)) # Prints "(7, 16, 25)"
|
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[/codeblock]
|
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</description>
|
|
</operator>
|
|
<operator name="operator /">
|
|
<return type="Vector3" />
|
|
<argument index="0" name="right" type="Vector3" />
|
|
<description>
|
|
Divides each component of the [Vector3] by the components of the given [Vector3].
|
|
[codeblock]
|
|
print(Vector3(10, 20, 30) / Vector3(2, 5, 3)) # Prints "(5, 4, 10)"
|
|
[/codeblock]
|
|
</description>
|
|
</operator>
|
|
<operator name="operator /">
|
|
<return type="Vector3" />
|
|
<argument index="0" name="right" type="float" />
|
|
<description>
|
|
Divides each component of the [Vector3] by the given [float].
|
|
</description>
|
|
</operator>
|
|
<operator name="operator /">
|
|
<return type="Vector3" />
|
|
<argument index="0" name="right" type="int" />
|
|
<description>
|
|
Divides each component of the [Vector3] by the given [int].
|
|
</description>
|
|
</operator>
|
|
<operator name="operator <">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="Vector3" />
|
|
<description>
|
|
Compares two [Vector3] vectors by first checking if the X value of the left vector is less than the X value of the [code]right[/code] vector. If the X values are exactly equal, then it repeats this check with the Y values of the two vectors, and then with the Z values. This operator is useful for sorting vectors.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator <=">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="Vector3" />
|
|
<description>
|
|
Compares two [Vector3] vectors by first checking if the X value of the left vector is less than or equal to the X value of the [code]right[/code] vector. If the X values are exactly equal, then it repeats this check with the Y values of the two vectors, and then with the Z values. This operator is useful for sorting vectors.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator ==">
|
|
<return type="bool" />
|
|
<description>
|
|
</description>
|
|
</operator>
|
|
<operator name="operator ==">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="Vector3" />
|
|
<description>
|
|
Returns [code]true[/code] if the vectors are exactly equal.
|
|
[b]Note:[/b] Due to floating-point precision errors, consider using [method is_equal_approx] instead, which is more reliable.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator >">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="Vector3" />
|
|
<description>
|
|
Compares two [Vector3] vectors by first checking if the X value of the left vector is greater than the X value of the [code]right[/code] vector. If the X values are exactly equal, then it repeats this check with the Y values of the two vectors, and then with the Z values. This operator is useful for sorting vectors.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator >=">
|
|
<return type="bool" />
|
|
<argument index="0" name="right" type="Vector3" />
|
|
<description>
|
|
Compares two [Vector3] vectors by first checking if the X value of the left vector is greater than or equal to the X value of the [code]right[/code] vector. If the X values are exactly equal, then it repeats this check with the Y values of the two vectors, and then with the Z values. This operator is useful for sorting vectors.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator []">
|
|
<return type="float" />
|
|
<argument index="0" name="index" type="int" />
|
|
<description>
|
|
Access vector components using their index. [code]v[0][/code] is equivalent to [code]v.x[/code], [code]v[1][/code] is equivalent to [code]v.y[/code], and [code]v[2][/code] is equivalent to [code]v.z[/code].
|
|
</description>
|
|
</operator>
|
|
<operator name="operator unary+">
|
|
<return type="Vector3" />
|
|
<description>
|
|
Returns the same value as if the [code]+[/code] was not there. Unary [code]+[/code] does nothing, but sometimes it can make your code more readable.
|
|
</description>
|
|
</operator>
|
|
<operator name="operator unary-">
|
|
<return type="Vector3" />
|
|
<description>
|
|
Returns the negative value of the [Vector3]. This is the same as writing [code]Vector3(-v.x, -v.y, -v.z)[/code]. This operation flips the direction of the vector while keeping the same magnitude. With floats, the number zero can be either positive or negative.
|
|
</description>
|
|
</operator>
|
|
</operators>
|
|
</class>
|