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<?xml version="1.0" encoding="UTF-8" ?>
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<class name= "Vector3i" xmlns:xsi= "http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation= "../class.xsd" >
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<brief_description >
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A 3D vector using integer coordinates.
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</brief_description>
<description >
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A 3-element structure that can be used to represent 3D grid coordinates or any other triplet of integers.
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It uses integer coordinates and is therefore preferable to [Vector3] when exact precision is required. Note that the values are limited to 32 bits, and unlike [Vector3] this cannot be configured with an engine build option. Use [int] or [PackedInt64Array] if 64-bit values are needed.
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[b]Note:[/b] In a boolean context, a Vector3i will evaluate to [code]false[/code] if it's equal to [code]Vector3i(0, 0, 0)[/code]. Otherwise, a Vector3i will always evaluate to [code]true[/code].
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</description>
<tutorials >
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<link title= "Math documentation index" > $DOCS_URL/tutorials/math/index.html</link>
<link title= "Vector math" > $DOCS_URL/tutorials/math/vector_math.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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</tutorials>
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<constructors >
<constructor name= "Vector3i" >
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<return type= "Vector3i" />
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<description >
Constructs a default-initialized [Vector3i] with all components set to [code]0[/code].
</description>
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</constructor>
<constructor name= "Vector3i" >
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<return type= "Vector3i" />
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<param index= "0" name= "from" type= "Vector3i" />
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<description >
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Constructs a [Vector3i] as a copy of the given [Vector3i].
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</description>
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</constructor>
<constructor name= "Vector3i" >
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<return type= "Vector3i" />
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<param index= "0" name= "from" type= "Vector3" />
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<description >
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Constructs a new [Vector3i] from the given [Vector3] by truncating components' fractional parts (rounding towards zero). For a different behavior consider passing the result of [method Vector3.ceil], [method Vector3.floor] or [method Vector3.round] to this constructor instead.
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</description>
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</constructor>
<constructor name= "Vector3i" >
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<return type= "Vector3i" />
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<param index= "0" name= "x" type= "int" />
<param index= "1" name= "y" type= "int" />
<param index= "2" name= "z" type= "int" />
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<description >
Returns a [Vector3i] with the given components.
</description>
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</constructor>
</constructors>
<methods >
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<method name= "abs" qualifiers= "const" >
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<return type= "Vector3i" />
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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>
</method>
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<method name= "clamp" qualifiers= "const" >
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<return type= "Vector3i" />
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<param index= "0" name= "min" type= "Vector3i" />
<param index= "1" name= "max" type= "Vector3i" />
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<description >
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Returns a new vector with all components clamped between the components of [param min] and [param max], by running [method @GlobalScope.clamp] on each component.
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</description>
</method>
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<method name= "clampi" qualifiers= "const" >
<return type= "Vector3i" />
<param index= "0" name= "min" type= "int" />
<param index= "1" name= "max" type= "int" />
<description >
Returns a new vector with all components clamped between [param min] and [param max], by running [method @GlobalScope.clamp] on each component.
</description>
</method>
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<method name= "distance_squared_to" qualifiers= "const" >
<return type= "int" />
<param index= "0" name= "to" type= "Vector3i" />
<description >
Returns the squared distance between this vector and [param to].
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.
</description>
</method>
<method name= "distance_to" qualifiers= "const" >
<return type= "float" />
<param index= "0" name= "to" type= "Vector3i" />
<description >
Returns the distance between this vector and [param to].
</description>
</method>
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<method name= "length" qualifiers= "const" keywords= "size" >
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<return type= "float" />
<description >
Returns the length (magnitude) of this vector.
</description>
</method>
<method name= "length_squared" qualifiers= "const" >
<return type= "int" />
<description >
Returns the squared length (squared magnitude) of this vector.
This method runs faster than [method length], so prefer it if you need to compare vectors or need the squared distance for some formula.
</description>
</method>
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<method name= "max" qualifiers= "const" >
<return type= "Vector3i" />
<param index= "0" name= "with" type= "Vector3i" />
<description >
Returns the component-wise maximum of this and [param with], equivalent to [code]Vector3i(maxi(x, with.x), maxi(y, with.y), maxi(z, with.z))[/code].
</description>
</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>
</method>
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<method name= "maxi" qualifiers= "const" >
<return type= "Vector3i" />
<param index= "0" name= "with" type= "int" />
<description >
Returns the component-wise maximum of this and [param with], equivalent to [code]Vector3i(maxi(x, with), maxi(y, with), maxi(z, with))[/code].
</description>
</method>
<method name= "min" qualifiers= "const" >
<return type= "Vector3i" />
<param index= "0" name= "with" type= "Vector3i" />
<description >
Returns the component-wise minimum of this and [param with], equivalent to [code]Vector3i(mini(x, with.x), mini(y, with.y), mini(z, with.z))[/code].
</description>
</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>
</method>
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<method name= "mini" qualifiers= "const" >
<return type= "Vector3i" />
<param index= "0" name= "with" type= "int" />
<description >
Returns the component-wise minimum of this and [param with], equivalent to [code]Vector3i(mini(x, with), mini(y, with), mini(z, with))[/code].
</description>
</method>
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<method name= "sign" qualifiers= "const" >
<return type= "Vector3i" />
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<description >
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Returns a new vector with each component set to [code]1[/code] if it's positive, [code]-1[/code] if it's negative, and [code]0[/code] if it's zero. The result is identical to calling [method @GlobalScope.sign] on each component.
</description>
</method>
<method name= "snapped" qualifiers= "const" >
<return type= "Vector3i" />
<param index= "0" name= "step" type= "Vector3i" />
<description >
Returns a new vector with each component snapped to the closest multiple of the corresponding component in [param step].
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</description>
</method>
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<method name= "snappedi" qualifiers= "const" >
<return type= "Vector3i" />
<param index= "0" name= "step" type= "int" />
<description >
Returns a new vector with each component snapped to the closest multiple of [param step].
</description>
</method>
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</methods>
<members >
<member name= "x" type= "int" setter= "" getter= "" default= "0" >
The vector's X component. Also accessible by using the index position [code][0][/code].
</member>
<member name= "y" type= "int" setter= "" getter= "" default= "0" >
The vector's Y component. Also accessible by using the index position [code][1][/code].
</member>
<member name= "z" type= "int" setter= "" getter= "" default= "0" >
The vector's Z component. Also accessible by using the index position [code][2][/code].
</member>
</members>
<constants >
<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>
<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>
<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>
<constant name= "ZERO" value= "Vector3i(0, 0, 0)" >
Zero vector, a vector with all components set to [code]0[/code].
</constant>
<constant name= "ONE" value= "Vector3i(1, 1, 1)" >
One vector, a vector with all components set to [code]1[/code].
</constant>
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<constant name= "MIN" value= "Vector3i(-2147483648, -2147483648, -2147483648)" >
Min vector, a vector with all components equal to [code]INT32_MIN[/code]. Can be used as a negative integer equivalent of [constant Vector3.INF].
</constant>
<constant name= "MAX" value= "Vector3i(2147483647, 2147483647, 2147483647)" >
Max vector, a vector with all components equal to [code]INT32_MAX[/code]. Can be used as an integer equivalent of [constant Vector3.INF].
</constant>
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<constant name= "LEFT" value= "Vector3i(-1, 0, 0)" >
Left unit vector. Represents the local direction of left, and the global direction of west.
</constant>
<constant name= "RIGHT" value= "Vector3i(1, 0, 0)" >
Right unit vector. Represents the local direction of right, and the global direction of east.
</constant>
<constant name= "UP" value= "Vector3i(0, 1, 0)" >
Up unit vector.
</constant>
<constant name= "DOWN" value= "Vector3i(0, -1, 0)" >
Down unit vector.
</constant>
<constant name= "FORWARD" value= "Vector3i(0, 0, -1)" >
Forward unit vector. Represents the local direction of forward, and the global direction of north.
</constant>
<constant name= "BACK" value= "Vector3i(0, 0, 1)" >
Back unit vector. Represents the local direction of back, and the global direction of south.
</constant>
</constants>
<operators >
<operator name= "operator !=" >
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<return type= "bool" />
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<param index= "0" name= "right" type= "Vector3i" />
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<description >
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Returns [code]true[/code] if the vectors are not equal.
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</description>
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</operator>
<operator name= "operator %" >
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<return type= "Vector3i" />
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<param index= "0" name= "right" type= "Vector3i" />
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<description >
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Gets the remainder of each component of the [Vector3i] with the components of the given [Vector3i]. This operation uses truncated division, which is often not desired as it does not work well with negative numbers. Consider using [method @GlobalScope.posmod] instead if you want to handle negative numbers.
[codeblock]
print(Vector3i(10, -20, 30) % Vector3i(7, 8, 9)) # Prints "(3, -4, 3)"
[/codeblock]
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</description>
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</operator>
<operator name= "operator %" >
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<return type= "Vector3i" />
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<param index= "0" name= "right" type= "int" />
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<description >
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Gets the remainder of each component of the [Vector3i] with the given [int]. This operation uses truncated division, which is often not desired as it does not work well with negative numbers. Consider using [method @GlobalScope.posmod] instead if you want to handle negative numbers.
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[codeblock]
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print(Vector3i(10, -20, 30) % 7) # Prints "(3, -6, 2)"
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[/codeblock]
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</description>
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</operator>
<operator name= "operator *" >
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<return type= "Vector3i" />
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<param index= "0" name= "right" type= "Vector3i" />
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<description >
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Multiplies each component of the [Vector3i] by the components of the given [Vector3i].
[codeblock]
print(Vector3i(10, 20, 30) * Vector3i(3, 4, 5)) # Prints "(30, 80, 150)"
[/codeblock]
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</description>
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</operator>
<operator name= "operator *" >
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<return type= "Vector3" />
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<param index= "0" name= "right" type= "float" />
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<description >
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Multiplies each component of the [Vector3i] by the given [float]. Returns a [Vector3].
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[codeblock]
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print(Vector3i(10, 15, 20) * 0.9) # Prints "(9, 13.5, 18)"
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[/codeblock]
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</description>
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</operator>
<operator name= "operator *" >
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<return type= "Vector3i" />
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<param index= "0" name= "right" type= "int" />
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<description >
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Multiplies each component of the [Vector3i] by the given [int].
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</description>
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</operator>
<operator name= "operator +" >
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<return type= "Vector3i" />
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<param index= "0" name= "right" type= "Vector3i" />
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<description >
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Adds each component of the [Vector3i] by the components of the given [Vector3i].
[codeblock]
print(Vector3i(10, 20, 30) + Vector3i(3, 4, 5)) # Prints "(13, 24, 35)"
[/codeblock]
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</description>
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</operator>
<operator name= "operator -" >
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<return type= "Vector3i" />
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<param index= "0" name= "right" type= "Vector3i" />
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<description >
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Subtracts each component of the [Vector3i] by the components of the given [Vector3i].
[codeblock]
print(Vector3i(10, 20, 30) - Vector3i(3, 4, 5)) # Prints "(7, 16, 25)"
[/codeblock]
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</description>
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</operator>
<operator name= "operator /" >
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<return type= "Vector3i" />
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<param index= "0" name= "right" type= "Vector3i" />
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<description >
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Divides each component of the [Vector3i] by the components of the given [Vector3i].
[codeblock]
print(Vector3i(10, 20, 30) / Vector3i(2, 5, 3)) # Prints "(5, 4, 10)"
[/codeblock]
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</description>
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</operator>
<operator name= "operator /" >
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<return type= "Vector3" />
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<param index= "0" name= "right" type= "float" />
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<description >
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Divides each component of the [Vector3i] by the given [float]. Returns a [Vector3].
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[codeblock]
print(Vector3i(10, 20, 30) / 2.9) # Prints "(5, 10, 15)"
[/codeblock]
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</description>
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</operator>
<operator name= "operator /" >
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<return type= "Vector3i" />
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<param index= "0" name= "right" type= "int" />
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<description >
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Divides each component of the [Vector3i] by the given [int].
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</description>
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</operator>
<operator name= "operator <" >
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<return type= "bool" />
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<param index= "0" name= "right" type= "Vector3i" />
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<description >
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Compares two [Vector3i] vectors by first checking if the X value of the left vector is less than the X value of the [param right] 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.
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</description>
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</operator>
<operator name= "operator <=" >
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<return type= "bool" />
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<param index= "0" name= "right" type= "Vector3i" />
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<description >
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Compares two [Vector3i] vectors by first checking if the X value of the left vector is less than or equal to the X value of the [param right] 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.
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</description>
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</operator>
<operator name= "operator ==" >
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<return type= "bool" />
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<param index= "0" name= "right" type= "Vector3i" />
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<description >
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Returns [code]true[/code] if the vectors are equal.
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</description>
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</operator>
<operator name= "operator >" >
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<return type= "bool" />
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<param index= "0" name= "right" type= "Vector3i" />
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<description >
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Compares two [Vector3i] vectors by first checking if the X value of the left vector is greater than the X value of the [param right] 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.
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</description>
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</operator>
<operator name= "operator >=" >
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<return type= "bool" />
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<param index= "0" name= "right" type= "Vector3i" />
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<description >
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Compares two [Vector3i] vectors by first checking if the X value of the left vector is greater than or equal to the X value of the [param right] 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.
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</description>
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</operator>
<operator name= "operator []" >
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<return type= "int" />
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<param index= "0" name= "index" type= "int" />
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<description >
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Access vector components using their [param 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].
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</description>
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</operator>
<operator name= "operator unary+" >
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<return type= "Vector3i" />
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<description >
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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.
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</description>
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</operator>
<operator name= "operator unary-" >
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<return type= "Vector3i" />
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<description >
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Returns the negative value of the [Vector3i]. This is the same as writing [code]Vector3i(-v.x, -v.y, -v.z)[/code]. This operation flips the direction of the vector while keeping the same magnitude.
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</description>
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</operator>
</operators>
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</class>