2020-02-24 17:00:40 +01:00
<?xml version="1.0" encoding="UTF-8" ?>
<class name= "Vector3i" version= "4.0" >
<brief_description >
Vector used for 3D math using integer coordinates.
</brief_description>
<description >
3-element structure that can be used to represent positions in 3D space or any other pair of numeric values.
2020-06-21 17:16:10 +02:00
It uses integer coordinates and is therefore preferable to [Vector3] when exact precision is required.
[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].
2020-02-24 17:00:40 +01:00
</description>
<tutorials >
2021-11-15 10:43:07 +01:00
<link title= "Math documentation index" > $DOCS_URL/tutorials/math/index.html</link>
<link title= "Vector math" > $DOCS_URL/tutorials/math/vector_math.html</link>
2020-10-01 10:34:47 +02:00
<link title= "3Blue1Brown Essence of Linear Algebra" > https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab</link>
2020-02-24 17:00:40 +01:00
</tutorials>
2021-09-21 04:49:02 +02:00
<constructors >
<constructor name= "Vector3i" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
2020-11-09 17:46:03 +01:00
<description >
Constructs a default-initialized [Vector3i] with all components set to [code]0[/code].
</description>
2021-09-21 04:49:02 +02:00
</constructor>
<constructor name= "Vector3i" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "from" type= "Vector3i" />
2020-02-24 17:00:40 +01:00
<description >
2020-11-09 17:46:03 +01:00
Constructs a [Vector3i] as a copy of the given [Vector3i].
2020-02-24 17:00:40 +01:00
</description>
2021-09-21 04:49:02 +02:00
</constructor>
<constructor name= "Vector3i" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "from" type= "Vector3" />
2020-02-24 17:00:40 +01:00
<description >
Constructs a new [Vector3i] from [Vector3]. The floating point coordinates will be truncated.
</description>
2021-09-21 04:49:02 +02:00
</constructor>
<constructor name= "Vector3i" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "x" type= "int" />
<argument index= "1" name= "y" type= "int" />
<argument index= "2" name= "z" type= "int" />
2020-11-09 17:46:03 +01:00
<description >
Returns a [Vector3i] with the given components.
</description>
2021-09-21 04:49:02 +02:00
</constructor>
</constructors>
<methods >
2021-03-18 14:44:42 +01:00
<method name= "abs" qualifiers= "const" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
2020-11-04 15:38:26 +01:00
<description >
</description>
</method>
2021-02-01 06:10:52 +01:00
<method name= "clamp" qualifiers= "const" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "min" type= "Vector3i" />
<argument index= "1" name= "max" type= "Vector3i" />
2021-02-01 06:10:52 +01:00
<description >
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.
</description>
</method>
2021-11-29 18:13:31 +01:00
<method name= "length" qualifiers= "const" >
<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>
2019-11-28 09:48:51 +01:00
<method name= "max_axis_index" qualifiers= "const" >
2021-07-30 15:28:05 +02:00
<return type= "int" />
2020-06-03 14:22:26 +02:00
<description >
2019-11-28 09:48:51 +01:00
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].
2020-06-03 14:22:26 +02:00
</description>
</method>
2019-11-28 09:48:51 +01:00
<method name= "min_axis_index" qualifiers= "const" >
2021-07-30 15:28:05 +02:00
<return type= "int" />
2020-06-03 14:22:26 +02:00
<description >
2019-11-28 09:48:51 +01:00
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].
2020-06-03 14:22:26 +02:00
</description>
</method>
2021-09-21 04:49:02 +02:00
<method name= "sign" qualifiers= "const" >
<return type= "Vector3i" />
2021-09-17 17:22:48 +02:00
<description >
2021-09-21 04:49:02 +02:00
Returns the vector with each component set to one or negative one, depending on the signs of the components.
2021-09-17 17:22:48 +02:00
</description>
</method>
2021-09-21 04:49:02 +02:00
</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" >
2019-11-28 09:48:51 +01:00
Enumerated value for the X axis. Returned by [method max_axis_index] and [method min_axis_index].
2021-09-21 04:49:02 +02:00
</constant>
<constant name= "AXIS_Y" value= "1" >
2019-11-28 09:48:51 +01:00
Enumerated value for the Y axis. Returned by [method max_axis_index] and [method min_axis_index].
2021-09-21 04:49:02 +02:00
</constant>
<constant name= "AXIS_Z" value= "2" >
2019-11-28 09:48:51 +01:00
Enumerated value for the Z axis. Returned by [method max_axis_index] and [method min_axis_index].
2021-09-21 04:49:02 +02:00
</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>
<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 !=" >
<return type= "bool" />
<description >
</description>
</operator>
<operator name= "operator !=" >
2021-07-30 15:28:05 +02:00
<return type= "bool" />
<argument index= "0" name= "right" type= "Vector3i" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
Returns [code]true[/code] if the vectors are not equal.
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator %" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "right" type= "Vector3i" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
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]
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator %" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "right" type= "int" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
Gets the remainder of each component of the [Vector3i] with the 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.
[codeblock]
print(Vector2i(10, -20, 30) % 7) # Prints "(3, -6, 2)"
[/codeblock]
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator *" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "right" type= "Vector3i" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
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]
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator *" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "right" type= "float" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
Multiplies each component of the [Vector3i] by the given [float] truncated to an integer.
[codeblock]
print(Vector3i(10, 20, 30) * 0.9) # Prints "(0, 0, 0)"
[/codeblock]
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator *" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "right" type= "int" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
Multiplies each component of the [Vector3i] by the given [int].
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator +" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "right" type= "Vector3i" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
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]
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator -" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "right" type= "Vector3i" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
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]
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator /" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "right" type= "Vector3i" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
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]
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator /" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "right" type= "float" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
Divides each component of the [Vector3i] by the given [float] truncated to an integer.
[codeblock]
print(Vector3i(10, 20, 30) / 2.9) # Prints "(5, 10, 15)"
[/codeblock]
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator /" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
<argument index= "0" name= "right" type= "int" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
Divides each component of the [Vector3i] by the given [int].
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator <" >
2021-07-30 15:28:05 +02:00
<return type= "bool" />
<argument index= "0" name= "right" type= "Vector3i" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
Compares two [Vector3i] 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.
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator <=" >
2021-07-30 15:28:05 +02:00
<return type= "bool" />
<argument index= "0" name= "right" type= "Vector3i" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
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 [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.
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator ==" >
2021-07-30 15:28:05 +02:00
<return type= "bool" />
2021-09-17 17:22:48 +02:00
<description >
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator ==" >
2021-09-17 17:22:48 +02:00
<return type= "bool" />
2021-07-30 15:28:05 +02:00
<argument index= "0" name= "right" type= "Vector3i" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
Returns [code]true[/code] if the vectors are equal.
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator >" >
2021-07-30 15:28:05 +02:00
<return type= "bool" />
<argument index= "0" name= "right" type= "Vector3i" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
Compares two [Vector3i] 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.
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator >=" >
2021-07-30 15:28:05 +02:00
<return type= "bool" />
<argument index= "0" name= "right" type= "Vector3i" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
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 [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.
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator []" >
2021-07-30 15:28:05 +02:00
<return type= "int" />
<argument index= "0" name= "index" type= "int" />
2020-11-10 14:16:20 +01:00
<description >
2021-11-04 16:58:20 +01:00
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].
2020-11-10 14:16:20 +01:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator unary+" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
2021-06-19 17:58:49 +02:00
<description >
2021-11-04 16:58:20 +01:00
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.
2021-06-19 17:58:49 +02:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
<operator name= "operator unary-" >
2021-07-30 15:28:05 +02:00
<return type= "Vector3i" />
2021-06-19 17:58:49 +02:00
<description >
2021-11-04 16:58:20 +01:00
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.
2021-06-19 17:58:49 +02:00
</description>
2021-09-21 04:49:02 +02:00
</operator>
</operators>
2020-02-24 17:00:40 +01:00
</class>