java.awt.geom

Class AffineTransform

public class AffineTransform extends Object implements Cloneable, Serializable

This class represents an affine transformation between two coordinate spaces in 2 dimensions. Such a transform preserves the "straightness" and "parallelness" of lines. The transform is built from a sequence of translations, scales, flips, rotations, and shears.

The transformation can be represented using matrix math on a 3x3 array. Given (x,y), the transformation (x',y') can be found by:

 [ x']   [ m00 m01 m02 ] [ x ]   [ m00*x + m01*y + m02 ]
 [ y'] = [ m10 m11 m12 ] [ y ] = [ m10*x + m11*y + m12 ]
 [ 1 ]   [  0   0   1  ] [ 1 ]   [          1          ]

The bottom row of the matrix is constant, so a transform can be uniquely represented (as in {@link #toString()}) by "[[m00, m01, m02], [m10, m11, m12]]".

Since: 1.2

UNKNOWN: partially updated to 1.4, still has some problems

Field Summary
static int	TYPE_FLIP The transformation includes a flip about an axis, swapping between right-handed and left-handed coordinate systems.
static int	TYPE_GENERAL_ROTATION The transformation includes a rotation by an arbitrary angle.
static int	TYPE_GENERAL_SCALE The transformation includes a general scale - length is scaled in either or both the x and y directions, but by different amounts; without affecting angles.
static int	TYPE_GENERAL_TRANSFORM The transformation is an arbitrary conversion of coordinates which could not be decomposed into the other TYPEs.
static int	TYPE_IDENTITY The transformation is the identity (x' = x, y' = y).
static int	TYPE_MASK_ROTATION This constant checks if either variety of rotation is performed.
static int	TYPE_MASK_SCALE This constant checks if either variety of scale transform is performed.
static int	TYPE_QUADRANT_ROTATION The transformation includes a rotation of a multiple of 90 degrees (PI/2 radians).
static int	TYPE_TRANSLATION The transformation includes a translation - shifting in the x or y direction without changing length or angles.
static int	TYPE_UNIFORM_SCALE The transformation includes a uniform scale - length is scaled in both the x and y directions by the same amount, without affecting angles.

Constructor Summary
	AffineTransform() Construct a new identity transform: [ 1 0 0 ] [ 0 1 0 ] [ 0 0 1 ]
	AffineTransform(AffineTransform tx) Create a new transform which copies the given one.
	AffineTransform(float m00, float m10, float m01, float m11, float m02, float m12) Construct a transform with the given matrix entries: [ m00 m01 m02 ] [ m10 m11 m12 ] [ 0 0 1 ]
	AffineTransform(float[] f) Construct a transform from a sequence of float entries.
	AffineTransform(double m00, double m10, double m01, double m11, double m02, double m12) Construct a transform with the given matrix entries: [ m00 m01 m02 ] [ m10 m11 m12 ] [ 0 0 1 ]
	AffineTransform(double[] d) Construct a transform from a sequence of double entries.

Method Summary
Object	clone() Create a new transform of the same run-time type, with the same transforming properties as this one.
void	concatenate(AffineTransform tx) Set this transform to the result of performing the original version of this followed by tx.
AffineTransform	createInverse() Returns a transform, which if concatenated to this one, will result in the identity transform.
Shape	createTransformedShape(Shape src) Return a new Shape, based on the given one, where the path of the shape has been transformed by this transform.
Point2D	deltaTransform(Point2D src, Point2D dst) Perform this transformation, less any translation, on the given source point, and store the result in the destination (creating it if necessary).
void	deltaTransform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int num) Perform this transformation, less any translation, on an array of points, in (x,y) pairs, storing the results in another (possibly same) array.
boolean	equals(Object obj) Compares two transforms for equality.
double	getDeterminant() Return the determinant of this transform matrix.
void	getMatrix(double[] d) Return the matrix of values used in this transform.
static AffineTransform	getRotateInstance(double theta) Returns a rotation transform.
static AffineTransform	getRotateInstance(double theta, double x, double y) Returns a rotation transform about a point.
static AffineTransform	getScaleInstance(double sx, double sy) Returns a scaling transform: [ sx 0 0 ] [ 0 sy 0 ] [ 0 0 1 ]
double	getScaleX() Returns the X coordinate scaling factor of the matrix.
double	getScaleY() Returns the Y coordinate scaling factor of the matrix.
static AffineTransform	getShearInstance(double shx, double shy) Returns a shearing transform (points are shifted in the x direction based on a factor of their y coordinate, and in the y direction as a factor of their x coordinate): [ 1 shx 0 ] [ shy 1 0 ] [ 0 0 1 ]
double	getShearX() Returns the X coordinate shearing factor of the matrix.
double	getShearY() Returns the Y coordinate shearing factor of the matrix.
static AffineTransform	getTranslateInstance(double tx, double ty) Returns a translation transform: [ 1 0 tx ] [ 0 1 ty ] [ 0 0 1 ]
double	getTranslateX() Returns the X coordinate translation factor of the matrix.
double	getTranslateY() Returns the Y coordinate translation factor of the matrix.
int	getType() Returns the type of this transform.
int	hashCode() Return the hashcode for this transformation.
Point2D	inverseTransform(Point2D src, Point2D dst) Perform the inverse of this transformation on the given source point, and store the result in the destination (creating it if necessary).
void	inverseTransform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int num) Perform the inverse of this transformation on an array of points, in (x,y) pairs, storing the results in another (possibly same) array.
boolean	isIdentity() Tests if this transformation is the identity: [ 1 0 0 ] [ 0 1 0 ] [ 0 0 1 ]
void	preConcatenate(AffineTransform tx) Set this transform to the result of performing tx followed by the original version of this.
void	rotate(double theta) Concatenate a rotation onto this transform.
void	rotate(double theta, double x, double y) Concatenate a rotation about a point onto this transform.
void	scale(double sx, double sy) Concatenate a scale onto this transform.
void	setToIdentity() Reset this transform to the identity (no transformation): [ 1 0 0 ] [ 0 1 0 ] [ 0 0 1 ]
void	setToRotation(double theta) Set this transform to a rotation.
void	setToRotation(double theta, double x, double y) Set this transform to a rotation about a point.
void	setToScale(double sx, double sy) Set this transform to a scale: [ sx 0 0 ] [ 0 sy 0 ] [ 0 0 1 ]
void	setToShear(double shx, double shy) Set this transform to a shear (points are shifted in the x direction based on a factor of their y coordinate, and in the y direction as a factor of their x coordinate): [ 1 shx 0 ] [ shy 1 0 ] [ 0 0 1 ]
void	setToTranslation(double tx, double ty) Set this transform to a translation: [ 1 0 tx ] [ 0 1 ty ] [ 0 0 1 ]
void	setTransform(AffineTransform tx) Set this transform to a copy of the given one.
void	setTransform(double m00, double m10, double m01, double m11, double m02, double m12) Set this transform to the given values: [ m00 m01 m02 ] [ m10 m11 m12 ] [ 0 0 1 ]
void	shear(double shx, double shy) Concatenate a shearing onto this transform.
String	toString() Returns a string representation of the transform, in the format: `"AffineTransform[[" + m00 + ", " + m01 + ", " + m02 + "], [" + m10 + ", " + m11 + ", " + m12 + "]]"`.
Point2D	transform(Point2D src, Point2D dst) Perform this transformation on the given source point, and store the result in the destination (creating it if necessary).
void	transform(Point2D[] src, int srcOff, Point2D[] dst, int dstOff, int num) Perform this transformation on an array of points, storing the results in another (possibly same) array.
void	transform(float[] srcPts, int srcOff, float[] dstPts, int dstOff, int num) Perform this transformation on an array of points, in (x,y) pairs, storing the results in another (possibly same) array.
void	transform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int num) Perform this transformation on an array of points, in (x,y) pairs, storing the results in another (possibly same) array.
void	transform(float[] srcPts, int srcOff, double[] dstPts, int dstOff, int num) Perform this transformation on an array of points, in (x,y) pairs, storing the results in another array.
void	transform(double[] srcPts, int srcOff, float[] dstPts, int dstOff, int num) Perform this transformation on an array of points, in (x,y) pairs, storing the results in another array.
void	translate(double tx, double ty) Concatenate a translation onto this transform.

Field Detail

TYPE_FLIP

public static final int TYPE_FLIP

The transformation includes a flip about an axis, swapping between right-handed and left-handed coordinate systems. In a right-handed system, the positive x-axis rotates counter-clockwise to the positive y-axis; in a left-handed system it rotates clockwise.

TYPE_GENERAL_ROTATION

public static final int TYPE_GENERAL_ROTATION

The transformation includes a rotation by an arbitrary angle. Angles are rotated, but length is preserved. This is mutually exclusive with TYPE_QUADRANT_ROTATION.

TYPE_GENERAL_SCALE

public static final int TYPE_GENERAL_SCALE

The transformation includes a general scale - length is scaled in either or both the x and y directions, but by different amounts; without affecting angles. This is mutually exclusive with TYPE_UNIFORM_SCALE.

TYPE_GENERAL_TRANSFORM

public static final int TYPE_GENERAL_TRANSFORM

The transformation is an arbitrary conversion of coordinates which could not be decomposed into the other TYPEs.

TYPE_IDENTITY

public static final int TYPE_IDENTITY

The transformation is the identity (x' = x, y' = y). All other transforms have either a combination of the appropriate transform flag bits for their type, or the type GENERAL_TRANSFORM.

TYPE_MASK_ROTATION

public static final int TYPE_MASK_ROTATION

This constant checks if either variety of rotation is performed.

TYPE_MASK_SCALE

public static final int TYPE_MASK_SCALE

This constant checks if either variety of scale transform is performed.

TYPE_QUADRANT_ROTATION

public static final int TYPE_QUADRANT_ROTATION

The transformation includes a rotation of a multiple of 90 degrees (PI/2 radians). Angles are rotated, but length is preserved. This is mutually exclusive with TYPE_GENERAL_ROTATION.

TYPE_TRANSLATION

public static final int TYPE_TRANSLATION

The transformation includes a translation - shifting in the x or y direction without changing length or angles.

TYPE_UNIFORM_SCALE

public static final int TYPE_UNIFORM_SCALE

The transformation includes a uniform scale - length is scaled in both the x and y directions by the same amount, without affecting angles. This is mutually exclusive with TYPE_GENERAL_SCALE.

Constructor Detail

AffineTransform

public AffineTransform()

Construct a new identity transform:

 [ 1 0 0 ]
 [ 0 1 0 ]
 [ 0 0 1 ]

AffineTransform

public AffineTransform(AffineTransform tx)

Create a new transform which copies the given one.

Parameters: tx the transform to copy

Throws: NullPointerException if tx is null

AffineTransform

public AffineTransform(float m00, float m10, float m01, float m11, float m02, float m12)

Construct a transform with the given matrix entries:

 [ m00 m01 m02 ]
 [ m10 m11 m12 ]
 [  0   0   1  ]

Parameters: m00 the x scaling component m10 the y shearing component m01 the x shearing component m11 the y scaling component m02 the x translation component m12 the y translation component

AffineTransform

public AffineTransform(float[] f)

Construct a transform from a sequence of float entries. The array must have at least 4 entries, which has a translation factor of 0; or 6 entries, for specifying all parameters:

 [ f[0] f[2] (f[4]) ]
 [ f[1] f[3] (f[5]) ]
 [  0     0    1    ]

Parameters: f the matrix to copy from, with at least 4 (6) entries

Throws: NullPointerException if f is null ArrayIndexOutOfBoundsException if f is too small

AffineTransform

public AffineTransform(double m00, double m10, double m01, double m11, double m02, double m12)

Construct a transform with the given matrix entries:

 [ m00 m01 m02 ]
 [ m10 m11 m12 ]
 [  0   0   1  ]

Parameters: m00 the x scaling component m10 the y shearing component m01 the x shearing component m11 the y scaling component m02 the x translation component m12 the y translation component

AffineTransform

public AffineTransform(double[] d)

Construct a transform from a sequence of double entries. The array must have at least 4 entries, which has a translation factor of 0; or 6 entries, for specifying all parameters:

 [ d[0] d[2] (d[4]) ]
 [ d[1] d[3] (d[5]) ]
 [  0     0    1    ]

Parameters: d the matrix to copy from, with at least 4 (6) entries

Throws: NullPointerException if d is null ArrayIndexOutOfBoundsException if d is too small

Method Detail

clone

public Object clone()

Create a new transform of the same run-time type, with the same transforming properties as this one.

Returns: the clone

concatenate

public void concatenate(AffineTransform tx)

Set this transform to the result of performing the original version of this followed by tx. This is commonly used when chaining transformations from one space to another. In matrix form:

 [ this ] = [ this ] x [ tx ]

Parameters: tx the transform to concatenate

Throws: NullPointerException if tx is null

createInverse

public AffineTransform createInverse()

Returns a transform, which if concatenated to this one, will result in the identity transform. This is useful for undoing transformations, but is only possible if the original transform has an inverse (ie. does not map multiple points to the same line or point). A transform exists only if getDeterminant() has a non-zero value. The inverse is calculated as:


 Let A be the matrix for which we want to find the inverse:

 A = [ m00 m01 m02 ]
     [ m10 m11 m12 ]
     [ 0   0   1   ] 


                 1    
 inverse (A) =  ---   x  adjoint(A) 
                det 



             =   1       [  m11  -m01   m01*m12-m02*m11  ]
                ---   x  [ -m10   m00  -m00*m12+m10*m02  ]
                det      [  0     0     m00*m11-m10*m01  ]



             = [  m11/det  -m01/det   m01*m12-m02*m11/det ]
               [ -m10/det   m00/det  -m00*m12+m10*m02/det ]
               [   0           0          1               ]

Returns: a new inverse transform

Throws: NoninvertibleTransformException if inversion is not possible

createTransformedShape

public Shape createTransformedShape(Shape src)

Return a new Shape, based on the given one, where the path of the shape has been transformed by this transform. Notice that this uses GeneralPath, which only stores points in float precision.

Parameters: src the shape source to transform

Returns: the shape, transformed by this, null if src is null.

deltaTransform

public Point2D deltaTransform(Point2D src, Point2D dst)

Perform this transformation, less any translation, on the given source point, and store the result in the destination (creating it if necessary). It is safe for src and dst to be the same. The reduced transform is equivalent to:

 [ x' ] = [ m00 m01 ] [ x ] = [ m00 * x + m01 * y ]
 [ y' ]   [ m10 m11 ] [ y ] = [ m10 * x + m11 * y ]

Parameters: src the source point dst the destination, or null

Returns: the delta transformation of src, in dst if it was non-null

Throws: NullPointerException if src is null

deltaTransform

public void deltaTransform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int num)

Perform this transformation, less any translation, on an array of points, in (x,y) pairs, storing the results in another (possibly same) array. This will not create a destination array. All sources are copied before the transformation, so that no result will overwrite a point that has not yet been evaluated. The reduced transform is equivalent to:

 [ x' ] = [ m00 m01 ] [ x ] = [ m00 * x + m01 * y ]
 [ y' ]   [ m10 m11 ] [ y ] = [ m10 * x + m11 * y ]

Parameters: srcPts the array of source points srcOff the starting offset into src dstPts the array of destination points dstOff the starting offset into dst num the number of points to transform

Throws: NullPointerException if src or dst is null ArrayIndexOutOfBoundsException if array bounds are exceeded

equals

public boolean equals(Object obj)

Compares two transforms for equality. This returns true if they have the same matrix values.

Parameters: obj the transform to compare

Returns: true if it is equal

getDeterminant

public double getDeterminant()

Return the determinant of this transform matrix. If the determinant is non-zero, the transform is invertible; otherwise operations which require an inverse throw a NoninvertibleTransformException. A result very near zero, due to rounding errors, may indicate that inversion results do not carry enough precision to be meaningful.

If this is a uniform scale transformation, the determinant also represents the squared value of the scale. Otherwise, it carries little additional meaning. The determinant is calculated as:

 | m00 m01 m02 |
 | m10 m11 m12 | = m00 * m11 - m01 * m10
 |  0   0   1  |

Returns: the determinant

getMatrix

public void getMatrix(double[] d)

Return the matrix of values used in this transform. If the matrix has fewer than 6 entries, only the scale and shear factors are returned; otherwise the translation factors are copied as well. The resulting values are:

 [ d[0] d[2] (d[4]) ]
 [ d[1] d[3] (d[5]) ]
 [  0     0    1    ]

Parameters: d the matrix to store the results into; with 4 (6) entries

Throws: NullPointerException if d is null ArrayIndexOutOfBoundsException if d is too small

getRotateInstance

public static AffineTransform getRotateInstance(double theta)

Returns a rotation transform. A positive angle (in radians) rotates the positive x-axis to the positive y-axis:

 [ cos(theta) -sin(theta) 0 ]
 [ sin(theta)  cos(theta) 0 ]
 [     0           0      1 ]

Parameters: theta the rotation angle

Returns: the rotating transform

getRotateInstance

public static AffineTransform getRotateInstance(double theta, double x, double y)

Returns a rotation transform about a point. A positive angle (in radians) rotates the positive x-axis to the positive y-axis. This is the same as calling:

 AffineTransform tx = new AffineTransform();
 tx.setToTranslation(x, y);
 tx.rotate(theta);
 tx.translate(-x, -y);

The resulting matrix is:

 [ cos(theta) -sin(theta) x-x*cos+y*sin ]
 [ sin(theta)  cos(theta) y-x*sin-y*cos ]
 [     0           0            1       ]

Parameters: theta the rotation angle x the x coordinate of the pivot point y the y coordinate of the pivot point

Returns: the rotating transform

getScaleInstance

public static AffineTransform getScaleInstance(double sx, double sy)

Returns a scaling transform:

 [ sx 0  0 ]
 [ 0  sy 0 ]
 [ 0  0  1 ]

Parameters: sx the x scaling factor sy the y scaling factor

Returns: the scaling transform

getScaleX

public double getScaleX()

Returns the X coordinate scaling factor of the matrix.

Returns: m00

See Also: (double[])

getScaleY

public double getScaleY()

Returns the Y coordinate scaling factor of the matrix.

Returns: m11

See Also: (double[])

getShearInstance

public static AffineTransform getShearInstance(double shx, double shy)

Returns a shearing transform (points are shifted in the x direction based on a factor of their y coordinate, and in the y direction as a factor of their x coordinate):

 [  1  shx 0 ]
 [ shy  1  0 ]
 [  0   0  1 ]

Parameters: shx the x shearing factor shy the y shearing factor

Returns: the shearing transform

getShearX

public double getShearX()

Returns the X coordinate shearing factor of the matrix.

Returns: m01

See Also: (double[])

getShearY

public double getShearY()

Returns the Y coordinate shearing factor of the matrix.

Returns: m10

See Also: (double[])

getTranslateInstance

public static AffineTransform getTranslateInstance(double tx, double ty)

Returns a translation transform:

 [ 1 0 tx ]
 [ 0 1 ty ]
 [ 0 0 1  ]

Parameters: tx the x translation distance ty the y translation distance

Returns: the translating transform

getTranslateX

public double getTranslateX()

Returns the X coordinate translation factor of the matrix.

Returns: m02

See Also: (double[])

getTranslateY

public double getTranslateY()

Returns the Y coordinate translation factor of the matrix.

Returns: m12

See Also: (double[])

getType

public int getType()

Returns the type of this transform. The result is always valid, although it may not be the simplest interpretation (in other words, there are sequences of transforms which reduce to something simpler, which this does not always detect). The result is either TYPE_GENERAL_TRANSFORM, or a bit-wise combination of TYPE_TRANSLATION, the mutually exclusive TYPE_*_ROTATIONs, and the mutually exclusive TYPE_*_SCALEs.

Returns: The type.

hashCode

public int hashCode()

Return the hashcode for this transformation. The formula is not documented, but appears to be the same as:

 long l = Double.doubleToLongBits(getScaleX());
 l = l * 31 + Double.doubleToLongBits(getShearX());
 l = l * 31 + Double.doubleToLongBits(getTranslateX());
 l = l * 31 + Double.doubleToLongBits(getShearY());
 l = l * 31 + Double.doubleToLongBits(getScaleY());
 l = l * 31 + Double.doubleToLongBits(getTranslateY());
 return (int) ((l >> 32) ^ l);

Returns: the hashcode

inverseTransform

public Point2D inverseTransform(Point2D src, Point2D dst)

Perform the inverse of this transformation on the given source point, and store the result in the destination (creating it if necessary). It is safe for src and dst to be the same.

Parameters: src the source point dst the destination, or null

Returns: the inverse transformation of src, in dst if it was non-null

Throws: NullPointerException if src is null NoninvertibleTransformException if the inverse does not exist

inverseTransform

public void inverseTransform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int num)

Perform the inverse of this transformation on an array of points, in (x,y) pairs, storing the results in another (possibly same) array. This will not create a destination array. All sources are copied before the transformation, so that no result will overwrite a point that has not yet been evaluated.

Parameters: srcPts the array of source points srcOff the starting offset into src dstPts the array of destination points dstOff the starting offset into dst num the number of points to transform

Throws: NullPointerException if src or dst is null ArrayIndexOutOfBoundsException if array bounds are exceeded NoninvertibleTransformException if the inverse does not exist

isIdentity

public boolean isIdentity()

Tests if this transformation is the identity:

 [ 1 0 0 ]
 [ 0 1 0 ]
 [ 0 0 1 ]

Returns: true if this is the identity transform

preConcatenate

public void preConcatenate(AffineTransform tx)

Set this transform to the result of performing tx followed by the original version of this. This is less common than normal concatenation, but can still be used to chain transformations from one space to another. In matrix form:

 [ this ] = [ tx ] x [ this ]

Parameters: tx the transform to concatenate

Throws: NullPointerException if tx is null

rotate

public void rotate(double theta)

Concatenate a rotation onto this transform. This is equivalent, but more efficient than concatenate(AffineTransform.getRotateInstance(theta)).

Parameters: theta the rotation angle

See Also: AffineTransform concatenate

rotate

public void rotate(double theta, double x, double y)

Concatenate a rotation about a point onto this transform. This is equivalent, but more efficient than concatenate(AffineTransform.getRotateInstance(theta, x, y)).

Parameters: theta the rotation angle x the x coordinate of the pivot point y the y coordinate of the pivot point

See Also: AffineTransform concatenate

scale

public void scale(double sx, double sy)

Concatenate a scale onto this transform. This is equivalent, but more efficient than concatenate(AffineTransform.getScaleInstance(sx, sy)).

Parameters: sx the x scaling factor sy the y scaling factor

See Also: AffineTransform concatenate

setToIdentity

public void setToIdentity()

Reset this transform to the identity (no transformation):

 [ 1 0 0 ]
 [ 0 1 0 ]
 [ 0 0 1 ]

setToRotation

public void setToRotation(double theta)

Set this transform to a rotation. A positive angle (in radians) rotates the positive x-axis to the positive y-axis:

 [ cos(theta) -sin(theta) 0 ]
 [ sin(theta)  cos(theta) 0 ]
 [     0           0      1 ]

Parameters: theta the rotation angle

setToRotation

public void setToRotation(double theta, double x, double y)

Set this transform to a rotation about a point. A positive angle (in radians) rotates the positive x-axis to the positive y-axis. This is the same as calling:

 tx.setToTranslation(x, y);
 tx.rotate(theta);
 tx.translate(-x, -y);

The resulting matrix is:

 [ cos(theta) -sin(theta) x-x*cos+y*sin ]
 [ sin(theta)  cos(theta) y-x*sin-y*cos ]
 [     0           0            1       ]

Parameters: theta the rotation angle x the x coordinate of the pivot point y the y coordinate of the pivot point

setToScale

public void setToScale(double sx, double sy)

Set this transform to a scale:

 [ sx 0  0 ]
 [ 0  sy 0 ]
 [ 0  0  1 ]

Parameters: sx the x scaling factor sy the y scaling factor

setToShear

public void setToShear(double shx, double shy)

Set this transform to a shear (points are shifted in the x direction based on a factor of their y coordinate, and in the y direction as a factor of their x coordinate):

 [  1  shx 0 ]
 [ shy  1  0 ]
 [  0   0  1 ]

Parameters: shx the x shearing factor shy the y shearing factor

setToTranslation

public void setToTranslation(double tx, double ty)

Set this transform to a translation:

 [ 1 0 tx ]
 [ 0 1 ty ]
 [ 0 0 1  ]

Parameters: tx the x translation distance ty the y translation distance

setTransform

public void setTransform(AffineTransform tx)

Set this transform to a copy of the given one.

Parameters: tx the transform to copy

Throws: NullPointerException if tx is null

setTransform

public void setTransform(double m00, double m10, double m01, double m11, double m02, double m12)

Set this transform to the given values:

 [ m00 m01 m02 ]
 [ m10 m11 m12 ]
 [  0   0   1  ]

Parameters: m00 the x scaling component m10 the y shearing component m01 the x shearing component m11 the y scaling component m02 the x translation component m12 the y translation component

shear

public void shear(double shx, double shy)

Concatenate a shearing onto this transform. This is equivalent, but more efficient than concatenate(AffineTransform.getShearInstance(sx, sy)).

Parameters: shx the x shearing factor shy the y shearing factor

See Also: AffineTransform concatenate

toString

public String toString()

Returns a string representation of the transform, in the format:

"AffineTransform[[" + m00 + ", " + m01 + ", " + m02 + "], ["
   + m10 + ", " + m11 + ", " + m12 + "]]"

Returns: the string representation

transform

public Point2D transform(Point2D src, Point2D dst)

Perform this transformation on the given source point, and store the result in the destination (creating it if necessary). It is safe for src and dst to be the same.

Parameters: src the source point dst the destination, or null

Returns: the transformation of src, in dst if it was non-null

Throws: NullPointerException if src is null

transform

public void transform(Point2D[] src, int srcOff, Point2D[] dst, int dstOff, int num)

Perform this transformation on an array of points, storing the results in another (possibly same) array. This will not create a destination array, but will create points for the null entries of the destination. The transformation is done sequentially. While having a single source and destination point be the same is safe, you should be aware that duplicate references to the same point in the source, and having the source overlap the destination, may result in your source points changing from a previous transform before it is their turn to be evaluated.

Parameters: src the array of source points srcOff the starting offset into src dst the array of destination points (may have null entries) dstOff the starting offset into dst num the number of points to transform

Throws: NullPointerException if src or dst is null, or src has null entries ArrayIndexOutOfBoundsException if array bounds are exceeded ArrayStoreException if new points are incompatible with dst

transform

public void transform(float[] srcPts, int srcOff, float[] dstPts, int dstOff, int num)

Perform this transformation on an array of points, in (x,y) pairs, storing the results in another (possibly same) array. This will not create a destination array. All sources are copied before the transformation, so that no result will overwrite a point that has not yet been evaluated.

Parameters: srcPts the array of source points srcOff the starting offset into src dstPts the array of destination points dstOff the starting offset into dst num the number of points to transform

Throws: NullPointerException if src or dst is null ArrayIndexOutOfBoundsException if array bounds are exceeded

transform

public void transform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int num)

Parameters: srcPts the array of source points srcOff the starting offset into src dstPts the array of destination points dstOff the starting offset into dst num the number of points to transform

Throws: NullPointerException if src or dst is null ArrayIndexOutOfBoundsException if array bounds are exceeded

transform

public void transform(float[] srcPts, int srcOff, double[] dstPts, int dstOff, int num)

Perform this transformation on an array of points, in (x,y) pairs, storing the results in another array. This will not create a destination array.

Parameters: srcPts the array of source points srcOff the starting offset into src dstPts the array of destination points dstOff the starting offset into dst num the number of points to transform

Throws: NullPointerException if src or dst is null ArrayIndexOutOfBoundsException if array bounds are exceeded

transform

public void transform(double[] srcPts, int srcOff, float[] dstPts, int dstOff, int num)

Perform this transformation on an array of points, in (x,y) pairs, storing the results in another array. This will not create a destination array.

Parameters: srcPts the array of source points srcOff the starting offset into src dstPts the array of destination points dstOff the starting offset into dst num the number of points to transform

Throws: NullPointerException if src or dst is null ArrayIndexOutOfBoundsException if array bounds are exceeded

translate

public void translate(double tx, double ty)

Concatenate a translation onto this transform. This is equivalent, but more efficient than concatenate(AffineTransform.getTranslateInstance(tx, ty)).

Parameters: tx the x translation distance ty the y translation distance

See Also: AffineTransform concatenate