org.spongepowered.api.util

Class DiscreteTransform3

java.lang.Object

org.spongepowered.api.util.DiscreteTransform3

public class DiscreteTransform3
extends Object

Represents a transform. It is 3 dimensional and discrete. It will never cause aliasing.

Rotations are performed around block centers unless the block corner flags are set to true. To prevent aliasing, quarter turn rotations are only legal on block centers or corners. Half turns can be performed additionally on edge and face centers.

Field Summary

Fields

Modifier and Type	Field and Description
static DiscreteTransform3	IDENTITY Represents an identity transformation.

Method Summary

Modifier and Type	Method and Description
DiscreteTransform3	andThen(DiscreteTransform3 that) Returns a transform that is the composition of the given transform with this transform.
DiscreteTransform3	compose(DiscreteTransform3 that) Returns a transform that is the composition of this transform and the given transform.
static DiscreteTransform3	fromRotation(int quarterTurns, Axis axis) Returns a new transform representing a rotation around an axis around the origin.
static DiscreteTransform3	fromRotation(int quarterTurns, Axis axis, com.flowpowered.math.vector.Vector3i point, boolean blockCorner) Returns a new transform representing a rotation around an axis, around a given point.
static DiscreteTransform3	fromRotation(int halfTurns, Axis axis, com.flowpowered.math.vector.Vector3i point, boolean blockCornerX, boolean blockCornerY, boolean blockCornerZ) Returns a new transform representing a rotation around an axis, around a given point.
static DiscreteTransform3	fromScale(int a) Returns a new transform representing a scaling.
static DiscreteTransform3	fromScale(int x, int y, int z) Returns a new transform representing a scaling on each axis.
static DiscreteTransform3	fromScale(com.flowpowered.math.vector.Vector3i vector) Returns a new transform representing a scaling on each axis.
static DiscreteTransform3	fromTranslation(int x, int y, int z) Returns a new transform representing a translation.
static DiscreteTransform3	fromTranslation(com.flowpowered.math.vector.Vector3i vector) Returns a new transform representing a translation.
com.flowpowered.math.matrix.Matrix4d	getMatrix() Returns the matrix representation of the transform.
DiscreteTransform3	invert() Inverts the transform and returns it as a new transform.
static Optional<DiscreteTransform3>	of(com.flowpowered.math.matrix.Matrix4d matrix) Returns a new transform from the given transformation matrix, if the resulting transform would be discrete.
static DiscreteTransform3	rotationAroundCenter(int quarterTurns, Axis axis, com.flowpowered.math.vector.Vector3i size) Returns a new transform representing a centered rotation of an volume of blocks.
com.flowpowered.math.vector.Vector3i	transform(int x, int y, int z) Transform a vector represented as a pair of coordinates using this transform.
com.flowpowered.math.vector.Vector3i	transform(com.flowpowered.math.vector.Vector3i vector) Transforms a vector using this transforms.
int	transformX(int x, int y, int z) Transforms the x coordinate of a vector using this transform.
int	transformX(com.flowpowered.math.vector.Vector3i vector) Transforms the x coordinate of a vector using this transform.
int	transformY(int x, int y, int z) Transforms the y coordinate of a vector using this transform.
int	transformY(com.flowpowered.math.vector.Vector3i vector) Transforms the y coordinate of a vector using this transform.
int	transformZ(int x, int y, int z) Transforms the z coordinate of a vector using this transform.
int	transformZ(com.flowpowered.math.vector.Vector3i vector) Transforms the z coordinate of a vector using this transform.
DiscreteTransform3	withRotation(int quarterTurns, Axis axis) Adds a rotation to this transform, around an axis, around the origin and returns it as a new transform.
DiscreteTransform3	withRotation(int quarterTurns, Axis axis, com.flowpowered.math.vector.Vector3i point, boolean blockCorner) Adds a a rotation to this transform, around an axis, around a given point, and returns it as a new transform.
DiscreteTransform3	withRotation(int halfTurns, Axis axis, com.flowpowered.math.vector.Vector3i point, boolean blockCornerX, boolean blockCornerY, boolean blockCornerZ) Adds a a rotation to this transform, around an axis, around a given point.
DiscreteTransform3	withScale(int a) Adds a scale factor to this transform and returns it as a new transform.
DiscreteTransform3	withScale(int x, int y, int z) Adds a scale factor for each axis to this transform and returns it as a new transform.
DiscreteTransform3	withScale(com.flowpowered.math.vector.Vector3i vector) Adds a scale factor for each axis to this transform and returns it as a new transform.
DiscreteTransform3	withTransformation(DiscreteTransform3 transform) Adds another transformation to this transformation and returns int as a new transform.
DiscreteTransform3	withTranslation(int x, int y, int z) Adds a translation to this transform and returns it as a new transform.
DiscreteTransform3	withTranslation(com.flowpowered.math.vector.Vector3i vector) Adds a translation to this transform and returns it as a new transform.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

IDENTITY

public static final DiscreteTransform3 IDENTITY

Represents an identity transformation. Does nothing!

Method Detail

getMatrix

public com.flowpowered.math.matrix.Matrix4d getMatrix()

Returns the matrix representation of the transform. It is 4D to allow it to include a translation.

Returns:

The matrix for this transform

transform

public com.flowpowered.math.vector.Vector3i transform(com.flowpowered.math.vector.Vector3i vector)

Transforms a vector using this transforms.

Parameters:

vector - The original vector

Returns:

The transformed vector

transform

public com.flowpowered.math.vector.Vector3i transform(int x,
                                                      int y,
                                                      int z)

Transform a vector represented as a pair of coordinates using this transform.

Parameters:

x - The x coordinate of the original vector

y - The y coordinate of the original vector

z - The z coordinate of the original vector

Returns:

The transformed vector

transformX

public int transformX(com.flowpowered.math.vector.Vector3i vector)

Transforms the x coordinate of a vector using this transform. Only creates a new object on the first call.

Parameters:

vector - The original vector

Returns:

The transformed x coordinate

transformX

public int transformX(int x,
                      int y,
                      int z)

Transforms the x coordinate of a vector using this transform. Only creates a new object on the first call.

Parameters:

x - The x coordinate of the original vector

y - The y coordinate of the original vector

z - The z coordinate of the original vector

Returns:

The transformed x coordinate

transformY

public int transformY(com.flowpowered.math.vector.Vector3i vector)

Transforms the y coordinate of a vector using this transform. Only creates a new object on the first call.

Parameters:

vector - The original vector

Returns:

The transformed y coordinate

transformY

public int transformY(int x,
                      int y,
                      int z)

Transforms the y coordinate of a vector using this transform. Only creates a new object on the first call.

Parameters:

x - The x coordinate of the original vector

y - The y coordinate of the original vector

z - The z coordinate of the original vector

Returns:

The transformed y coordinate

transformZ

public int transformZ(com.flowpowered.math.vector.Vector3i vector)

Transforms the z coordinate of a vector using this transform. Only creates a new object on the first call.

Parameters:

vector - The original vector

Returns:

The transformed z coordinate

transformZ

public int transformZ(int x,
                      int y,
                      int z)

Transforms the z coordinate of a vector using this transform. Only creates a new object on the first call.

Parameters:

x - The x coordinate of the original vector

y - The y coordinate of the original vector

z - The z coordinate of the original vector

Returns:

The transformed z coordinate

invert

public DiscreteTransform3 invert()

Inverts the transform and returns it as a new transform.

Returns:

The inverse of this transform

compose

public DiscreteTransform3 compose(DiscreteTransform3 that)

Returns a transform that is the composition of this transform and the given transform. The result will apply this transformation after the given one.

Parameters:

that - The transform to compose with

Returns:

The new composed transform

andThen

public DiscreteTransform3 andThen(DiscreteTransform3 that)

Returns a transform that is the composition of the given transform with this transform. The result will apply the given transformation after this one.

Parameters:

that - The transform to compose with

Returns:

The new composed transform

withTranslation

public DiscreteTransform3 withTranslation(com.flowpowered.math.vector.Vector3i vector)

Adds a translation to this transform and returns it as a new transform.

Parameters:

vector - The translation vector

Returns:

The translated transform as a copy

withTranslation

public DiscreteTransform3 withTranslation(int x,
                                          int y,
                                          int z)

Adds a translation to this transform and returns it as a new transform.

Parameters:

x - The x coordinate of the translation

y - The y coordinate of the translation

z - The z coordinate of the translation

Returns:

The translated transform as a copy

withScale

public DiscreteTransform3 withScale(int a)

Adds a scale factor to this transform and returns it as a new transform. This factor must be non-zero.

Parameters:

a - The scale factor

Returns:

The scaled transform as a copy

withScale

public DiscreteTransform3 withScale(com.flowpowered.math.vector.Vector3i vector)

Adds a scale factor for each axis to this transform and returns it as a new transform. The factors must be non-zero.

Parameters:

vector - The scale vector

Returns:

The scaled transform as a copy

withScale

public DiscreteTransform3 withScale(int x,
                                    int y,
                                    int z)

Adds a scale factor for each axis to this transform and returns it as a new transform. The factors must be non-zero.

Parameters:

x - The scale factor on x

y - The scale factor on y

z - The scale factor on z

Returns:

The scaled transform as a copy

withRotation

public DiscreteTransform3 withRotation(int quarterTurns,
                                       Axis axis)

Adds a rotation to this transform, around an axis, around the origin and returns it as a new transform. The rotation is given is quarter turns. The actual rotation is quarterTurns * 90. The rotation is around the block center, not the corner.

Parameters:

quarterTurns - The number of quarter turns in this rotation

axis - The axis to rotate around

Returns:

The rotated transform as a copy

withRotation

public DiscreteTransform3 withRotation(int quarterTurns,
                                       Axis axis,
                                       com.flowpowered.math.vector.Vector3i point,
                                       boolean blockCorner)

Adds a a rotation to this transform, around an axis, around a given point, and returns it as a new transform. The rotation is given is quarter turns. The actual rotation is quarterTurns * 90. The block corner flag changes the point to be the block upper corner instead of the center.

Parameters:

quarterTurns - The number of quarter turns in this rotation

axis - The axis to rotate around

point - The point of rotation, as block coordinates

blockCorner - Whether or not to use the corner of the block instead of the center

Returns:

The rotated transform as a copy

withRotation

public DiscreteTransform3 withRotation(int halfTurns,
                                       Axis axis,
                                       com.flowpowered.math.vector.Vector3i point,
                                       boolean blockCornerX,
                                       boolean blockCornerY,
                                       boolean blockCornerZ)

Adds a a rotation to this transform, around an axis, around a given point. The rotation is given is half turns. The actual rotation is halfTurns * 180. The block corner flags change the point to be the block corner or edge instead of the center. When all flags are false, the center is used. When only one is true the face traversed by the axis of flag is used. When two are true the edge in the direction of the remaining flag is used. When all are true the upper corner is used.

Parameters:

halfTurns - The number of half turns in this rotation

axis - The axis to rotate around

point - The point of rotation, as block coordinates

blockCornerX - Whether or not to use the corner of the block instead of the center on the x axis

blockCornerY - Whether or not to use the corner of the block instead of the center on the y axis

blockCornerZ - Whether or not to use the corner of the block instead of the center on the z axis

Returns:

The rotated transform as a copy

withTransformation

public DiscreteTransform3 withTransformation(DiscreteTransform3 transform)

Adds another transformation to this transformation and returns int as a new transform.

Parameters:

transform - The transformation to add

Returns:

The added transforms as a copy

of

public static Optional<DiscreteTransform3> of(com.flowpowered.math.matrix.Matrix4d matrix)

Returns a new transform from the given transformation matrix, if the resulting transform would be discrete.

Parameters:

matrix - The matrix to use for the transform

Returns:

The new transform, or Optional.empty()

fromTranslation

public static DiscreteTransform3 fromTranslation(com.flowpowered.math.vector.Vector3i vector)

Returns a new transform representing a translation.

Parameters:

vector - The translation vector

Returns:

The new translation transform

fromTranslation

public static DiscreteTransform3 fromTranslation(int x,
                                                 int y,
                                                 int z)

Returns a new transform representing a translation.

Parameters:

x - The x coordinate of the translation

y - The y coordinate of the translation

z - The z coordinate of the translation

Returns:

The new translation transform

fromScale

public static DiscreteTransform3 fromScale(int a)

Returns a new transform representing a scaling. The scale factor must be non-zero.

Parameters:

a - The scale factor

Returns:

The new scale transform

fromScale

public static DiscreteTransform3 fromScale(com.flowpowered.math.vector.Vector3i vector)

Returns a new transform representing a scaling on each axis. The scale factors must be non-zero.

Parameters:

vector - The scale vector

Returns:

The new scale transform

fromScale

public static DiscreteTransform3 fromScale(int x,
                                           int y,
                                           int z)

Returns a new transform representing a scaling on each axis. The scale factors must be non-zero.

Parameters:

x - The scale factor on x

y - The scale factor on y

z - The scale factor on z

Returns:

The new scale transform

fromRotation

public static DiscreteTransform3 fromRotation(int quarterTurns,
                                              Axis axis)

Returns a new transform representing a rotation around an axis around the origin. The rotation is given is quarter turns. The actual rotation is quarterTurns * 90. The rotation is around the block center, not the corner.

Parameters:

quarterTurns - The number of quarter turns in this rotation

axis - The axis to rotate around

Returns:

The new rotation transform

fromRotation

public static DiscreteTransform3 fromRotation(int quarterTurns,
                                              Axis axis,
                                              com.flowpowered.math.vector.Vector3i point,
                                              boolean blockCorner)

Returns a new transform representing a rotation around an axis, around a given point. The rotation is given is quarter turns. The actual rotation is quarterTurns * 90. The block corner flag change the point to be the block corner instead of the center.

Parameters:

quarterTurns - The number of quarter turns in this rotation

axis - The axis to rotate around

point - The point of rotation, as block coordinates

blockCorner - Whether or not to use the corner of the block instead of the center

Returns:

The new rotation transform

fromRotation

public static DiscreteTransform3 fromRotation(int halfTurns,
                                              Axis axis,
                                              com.flowpowered.math.vector.Vector3i point,
                                              boolean blockCornerX,
                                              boolean blockCornerY,
                                              boolean blockCornerZ)

Returns a new transform representing a rotation around an axis, around a given point. The rotation is given in half turns. The actual rotation is halfTurns * 180. When all flags are false, the center is used. When only one is true the face traversed by the axis of flag is used. When two are true the edge in the direction of the remaining flag is used. When all are true the upper corner is used.

Parameters:

halfTurns - The number of half turns in this rotation

axis - The axis to rotate around

point - The point of rotation, as block coordinates

blockCornerX - Whether or not to use the corner of the block instead of the center on the x axis

blockCornerY - Whether or not to use the corner of the block instead of the center on the y axis

blockCornerZ - Whether or not to use the corner of the block instead of the center on the z axis

Returns:

The new rotation transform

rotationAroundCenter

public static DiscreteTransform3 rotationAroundCenter(int quarterTurns,
                                                      Axis axis,
                                                      com.flowpowered.math.vector.Vector3i size)

Returns a new transform representing a centered rotation of an volume of blocks. The rotation is given is quarter turns. The actual rotation is quarterTurns * 90. Volumes with differing parities on the axes can only be rotated by multiples of 180 degrees.

Parameters:

quarterTurns - The amount of quarter turns in this rotation

axis - Axis for rotation

size - The size of the volume to rotate

Returns:

The new rotation transform