
Java^{TM} 2 Platform Standard Ed. 5.0 

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java.lang.Object java.awt.geom.AffineTransform
public class AffineTransform
The AffineTransform
class represents a 2D affine transform
that performs a linear mapping from 2D coordinates to other 2D
coordinates that preserves the "straightness" and
"parallelness" of lines. Affine transformations can be constructed
using sequences of translations, scales, flips, rotations, and shears.
Such a coordinate transformation can be represented by a 3 row by
3 column matrix with an implied last row of [ 0 0 1 ]. This matrix
transforms source coordinates (x, y)
into
destination coordinates (x', y')
by considering
them to be a column vector and multiplying the coordinate vector
by the matrix according to the following process:
[ x'] [ m00 m01 m02 ] [ x ] [ m00x + m01y + m02 ] [ y'] = [ m10 m11 m12 ] [ y ] = [ m10x + m11y + m12 ] [ 1 ] [ 0 0 1 ] [ 1 ] [ 1 ]
Field Summary  

static int 
TYPE_FLIP
This flag bit indicates that the transform defined by this object performs a mirror image flip about some axis which changes the normally right handed coordinate system into a left handed system in addition to the conversions indicated by other flag bits. 
static int 
TYPE_GENERAL_ROTATION
This flag bit indicates that the transform defined by this object performs a rotation by an arbitrary angle in addition to the conversions indicated by other flag bits. 
static int 
TYPE_GENERAL_SCALE
This flag bit indicates that the transform defined by this object performs a general scale in addition to the conversions indicated by other flag bits. 
static int 
TYPE_GENERAL_TRANSFORM
This constant indicates that the transform defined by this object performs an arbitrary conversion of the input coordinates. 
static int 
TYPE_IDENTITY
This constant indicates that the transform defined by this object is an identity transform. 
static int 
TYPE_MASK_ROTATION
This constant is a bit mask for any of the rotation flag bits. 
static int 
TYPE_MASK_SCALE
This constant is a bit mask for any of the scale flag bits. 
static int 
TYPE_QUADRANT_ROTATION
This flag bit indicates that the transform defined by this object performs a quadrant rotation by some multiple of 90 degrees in addition to the conversions indicated by other flag bits. 
static int 
TYPE_TRANSLATION
This flag bit indicates that the transform defined by this object performs a translation in addition to the conversions indicated by other flag bits. 
static int 
TYPE_UNIFORM_SCALE
This flag bit indicates that the transform defined by this object performs a uniform scale in addition to the conversions indicated by other flag bits. 
Constructor Summary  

AffineTransform()
Constructs a new AffineTransform representing the
Identity transformation. 

AffineTransform(AffineTransform Tx)
Constructs a new AffineTransform that is a copy of
the specified AffineTransform object. 

AffineTransform(double[] flatmatrix)
Constructs a new AffineTransform from an array of
double precision values representing either the 4 nontranslation
entries or the 6 specifiable entries of the 3x3 transformation
matrix. 

AffineTransform(double m00,
double m10,
double m01,
double m11,
double m02,
double m12)
Constructs a new AffineTransform from 6 double
precision values representing the 6 specifiable entries of the 3x3
transformation matrix. 

AffineTransform(float[] flatmatrix)
Constructs a new AffineTransform from an array of
floating point values representing either the 4 nontranslation
enries or the 6 specifiable entries of the 3x3 transformation
matrix. 

AffineTransform(float m00,
float m10,
float m01,
float m11,
float m02,
float m12)
Constructs a new AffineTransform from 6 floating point
values representing the 6 specifiable entries of the 3x3
transformation matrix. 
Method Summary  

Object 
clone()
Returns a copy of this AffineTransform object. 
void 
concatenate(AffineTransform Tx)
Concatenates an AffineTransform Tx to
this AffineTransform Cx in the most commonly useful
way to provide a new user space
that is mapped to the former user space by Tx . 
AffineTransform 
createInverse()
Returns an AffineTransform object representing the
inverse transformation. 
Shape 
createTransformedShape(Shape pSrc)
Returns a new Shape object defined by the geometry of the
specified Shape after it has been transformed by
this transform. 
void 
deltaTransform(double[] srcPts,
int srcOff,
double[] dstPts,
int dstOff,
int numPts)
Transforms an array of relative distance vectors by this transform. 
Point2D 
deltaTransform(Point2D ptSrc,
Point2D ptDst)
Transforms the relative distance vector specified by ptSrc and stores the result in ptDst . 
boolean 
equals(Object obj)
Returns true if this AffineTransform
represents the same affine coordinate transform as the specified
argument. 
double 
getDeterminant()
Returns the determinant of the matrix representation of the transform. 
void 
getMatrix(double[] flatmatrix)
Retrieves the 6 specifiable values in the 3x3 affine transformation matrix and places them into an array of double precisions values. 
static AffineTransform 
getRotateInstance(double theta)
Returns a transform representing a rotation transformation. 
static AffineTransform 
getRotateInstance(double theta,
double x,
double y)
Returns a transform that rotates coordinates around an anchor point. 
static AffineTransform 
getScaleInstance(double sx,
double sy)
Returns a transform representing a scaling transformation. 
double 
getScaleX()
Returns the X coordinate scaling element (m00) of the 3x3 affine transformation matrix. 
double 
getScaleY()
Returns the Y coordinate scaling element (m11) of the 3x3 affine transformation matrix. 
static AffineTransform 
getShearInstance(double shx,
double shy)
Returns a transform representing a shearing transformation. 
double 
getShearX()
Returns the X coordinate shearing element (m01) of the 3x3 affine transformation matrix. 
double 
getShearY()
Returns the Y coordinate shearing element (m10) of the 3x3 affine transformation matrix. 
static AffineTransform 
getTranslateInstance(double tx,
double ty)
Returns a transform representing a translation transformation. 
double 
getTranslateX()
Returns the X coordinate of the translation element (m02) of the 3x3 affine transformation matrix. 
double 
getTranslateY()
Returns the Y coordinate of the translation element (m12) of the 3x3 affine transformation matrix. 
int 
getType()
Retrieves the flag bits describing the conversion properties of this transform. 
int 
hashCode()
Returns the hashcode for this transform. 
void 
inverseTransform(double[] srcPts,
int srcOff,
double[] dstPts,
int dstOff,
int numPts)
Inverse transforms an array of double precision coordinates by this transform. 
Point2D 
inverseTransform(Point2D ptSrc,
Point2D ptDst)
Inverse transforms the specified ptSrc and stores the
result in ptDst . 
boolean 
isIdentity()
Returns true if this AffineTransform is
an identity transform. 
void 
preConcatenate(AffineTransform Tx)
Concatenates an AffineTransform Tx to
this AffineTransform Cx
in a less commonly used way such that Tx modifies the
coordinate transformation relative to the absolute pixel
space rather than relative to the existing user space. 
void 
rotate(double theta)
Concatenates this transform with a rotation transformation. 
void 
rotate(double theta,
double x,
double y)
Concatenates this transform with a transform that rotates coordinates around an anchor point. 
void 
scale(double sx,
double sy)
Concatenates this transform with a scaling transformation. 
void 
setToIdentity()
Resets this transform to the Identity transform. 
void 
setToRotation(double theta)
Sets this transform to a rotation transformation. 
void 
setToRotation(double theta,
double x,
double y)
Sets this transform to a translated rotation transformation. 
void 
setToScale(double sx,
double sy)
Sets this transform to a scaling transformation. 
void 
setToShear(double shx,
double shy)
Sets this transform to a shearing transformation. 
void 
setToTranslation(double tx,
double ty)
Sets this transform to a translation transformation. 
void 
setTransform(AffineTransform Tx)
Sets this transform to a copy of the transform in the specified AffineTransform object. 
void 
setTransform(double m00,
double m10,
double m01,
double m11,
double m02,
double m12)
Sets this transform to the matrix specified by the 6 double precision values. 
void 
shear(double shx,
double shy)
Concatenates this transform with a shearing transformation. 
String 
toString()
Returns a String that represents the value of this
Object . 
void 
transform(double[] srcPts,
int srcOff,
double[] dstPts,
int dstOff,
int numPts)
Transforms an array of double precision coordinates by this transform. 
void 
transform(double[] srcPts,
int srcOff,
float[] dstPts,
int dstOff,
int numPts)
Transforms an array of double precision coordinates by this transform and stores the results into an array of floats. 
void 
transform(float[] srcPts,
int srcOff,
double[] dstPts,
int dstOff,
int numPts)
Transforms an array of floating point coordinates by this transform and stores the results into an array of doubles. 
void 
transform(float[] srcPts,
int srcOff,
float[] dstPts,
int dstOff,
int numPts)
Transforms an array of floating point coordinates by this transform. 
void 
transform(Point2D[] ptSrc,
int srcOff,
Point2D[] ptDst,
int dstOff,
int numPts)
Transforms an array of point objects by this transform. 
Point2D 
transform(Point2D ptSrc,
Point2D ptDst)
Transforms the specified ptSrc and stores the result
in ptDst . 
void 
translate(double tx,
double ty)
Concatenates this transform with a translation transformation. 
Methods inherited from class java.lang.Object 

finalize, getClass, notify, notifyAll, wait, wait, wait 
Field Detail 

public static final int TYPE_IDENTITY
TYPE_TRANSLATION
,
TYPE_UNIFORM_SCALE
,
TYPE_GENERAL_SCALE
,
TYPE_FLIP
,
TYPE_QUADRANT_ROTATION
,
TYPE_GENERAL_ROTATION
,
TYPE_GENERAL_TRANSFORM
,
getType()
,
Constant Field Valuespublic static final int TYPE_TRANSLATION
TYPE_IDENTITY
,
TYPE_UNIFORM_SCALE
,
TYPE_GENERAL_SCALE
,
TYPE_FLIP
,
TYPE_QUADRANT_ROTATION
,
TYPE_GENERAL_ROTATION
,
TYPE_GENERAL_TRANSFORM
,
getType()
,
Constant Field Valuespublic static final int TYPE_UNIFORM_SCALE
TYPE_IDENTITY
,
TYPE_TRANSLATION
,
TYPE_GENERAL_SCALE
,
TYPE_FLIP
,
TYPE_QUADRANT_ROTATION
,
TYPE_GENERAL_ROTATION
,
TYPE_GENERAL_TRANSFORM
,
getType()
,
Constant Field Valuespublic static final int TYPE_GENERAL_SCALE
TYPE_IDENTITY
,
TYPE_TRANSLATION
,
TYPE_UNIFORM_SCALE
,
TYPE_FLIP
,
TYPE_QUADRANT_ROTATION
,
TYPE_GENERAL_ROTATION
,
TYPE_GENERAL_TRANSFORM
,
getType()
,
Constant Field Valuespublic static final int TYPE_MASK_SCALE
TYPE_UNIFORM_SCALE
,
TYPE_GENERAL_SCALE
,
Constant Field Valuespublic static final int TYPE_FLIP
TYPE_IDENTITY
,
TYPE_TRANSLATION
,
TYPE_UNIFORM_SCALE
,
TYPE_GENERAL_SCALE
,
TYPE_QUADRANT_ROTATION
,
TYPE_GENERAL_ROTATION
,
TYPE_GENERAL_TRANSFORM
,
getType()
,
Constant Field Valuespublic static final int TYPE_QUADRANT_ROTATION
TYPE_IDENTITY
,
TYPE_TRANSLATION
,
TYPE_UNIFORM_SCALE
,
TYPE_GENERAL_SCALE
,
TYPE_FLIP
,
TYPE_GENERAL_ROTATION
,
TYPE_GENERAL_TRANSFORM
,
getType()
,
Constant Field Valuespublic static final int TYPE_GENERAL_ROTATION
TYPE_IDENTITY
,
TYPE_TRANSLATION
,
TYPE_UNIFORM_SCALE
,
TYPE_GENERAL_SCALE
,
TYPE_FLIP
,
TYPE_QUADRANT_ROTATION
,
TYPE_GENERAL_TRANSFORM
,
getType()
,
Constant Field Valuespublic static final int TYPE_MASK_ROTATION
TYPE_QUADRANT_ROTATION
,
TYPE_GENERAL_ROTATION
,
Constant Field Valuespublic static final int TYPE_GENERAL_TRANSFORM
TYPE_IDENTITY
,
TYPE_TRANSLATION
,
TYPE_UNIFORM_SCALE
,
TYPE_GENERAL_SCALE
,
TYPE_FLIP
,
TYPE_QUADRANT_ROTATION
,
TYPE_GENERAL_ROTATION
,
getType()
,
Constant Field ValuesConstructor Detail 

public AffineTransform()
AffineTransform
representing the
Identity transformation.
public AffineTransform(AffineTransform Tx)
AffineTransform
that is a copy of
the specified AffineTransform
object.
Tx
 the AffineTransform
object to copypublic AffineTransform(float m00, float m10, float m01, float m11, float m02, float m12)
AffineTransform
from 6 floating point
values representing the 6 specifiable entries of the 3x3
transformation matrix.
m00, m01, m02, m10, m11, m12
 the
6 floating point values that compose the 3x3 transformation matrixpublic AffineTransform(float[] flatmatrix)
AffineTransform
from an array of
floating point values representing either the 4 nontranslation
enries or the 6 specifiable entries of the 3x3 transformation
matrix. The values are retrieved from the array as
{ m00 m10 m01 m11 [m02 m12]}.
flatmatrix
 the float array containing the values to be set
in the new AffineTransform
object. The length of the
array is assumed to be at least 4. If the length of the array is
less than 6, only the first 4 values are taken. If the length of
the array is greater than 6, the first 6 values are taken.public AffineTransform(double m00, double m10, double m01, double m11, double m02, double m12)
AffineTransform
from 6 double
precision values representing the 6 specifiable entries of the 3x3
transformation matrix.
m00, m01, m02, m10, m11, m12
 the
6 floating point values that compose the 3x3 transformation matrixpublic AffineTransform(double[] flatmatrix)
AffineTransform
from an array of
double precision values representing either the 4 nontranslation
entries or the 6 specifiable entries of the 3x3 transformation
matrix. The values are retrieved from the array as
{ m00 m10 m01 m11 [m02 m12]}.
flatmatrix
 the double array containing the values to be set
in the new AffineTransform
object. The length of the
array is assumed to be at least 4. If the length of the array is
less than 6, only the first 4 values are taken. If the length of
the array is greater than 6, the first 6 values are taken.Method Detail 

public static AffineTransform getTranslateInstance(double tx, double ty)
[ 1 0 tx ] [ 0 1 ty ] [ 0 0 1 ]
tx
 the distance by which coordinates are translated in the
X axis directionty
 the distance by which coordinates are translated in the
Y axis direction
AffineTransform
object that represents a
translation transformation, created with the specified vector.public static AffineTransform getRotateInstance(double theta)
[ cos(theta) sin(theta) 0 ] [ sin(theta) cos(theta) 0 ] [ 0 0 1 ]Rotating with a positive angle theta rotates points on the positive x axis toward the positive y axis.
theta
 the angle of rotation in radians
AffineTransform
object that is a rotation
transformation, created with the specified angle of rotation.public static AffineTransform getRotateInstance(double theta, double x, double y)
This operation is equivalent to the following sequence of calls:
AffineTransform Tx = new AffineTransform(); Tx.setToTranslation(x, y); // S3: final translation Tx.rotate(theta); // S2: rotate around anchor Tx.translate(x, y); // S1: translate anchor to originThe matrix representing the returned transform is:
[ cos(theta) sin(theta) xx*cos+y*sin ] [ sin(theta) cos(theta) yx*siny*cos ] [ 0 0 1 ]Rotating with a positive angle theta rotates points on the positive x axis toward the positive y axis.
theta
 the angle of rotation in radiansx, y
 the coordinates of the anchor point of the
rotation
AffineTransform
object that rotates
coordinates around the specified point by the specified angle of
rotation.public static AffineTransform getScaleInstance(double sx, double sy)
[ sx 0 0 ] [ 0 sy 0 ] [ 0 0 1 ]
sx
 the factor by which coordinates are scaled along the
X axis directionsy
 the factor by which coordinates are scaled along the
Y axis direction
AffineTransform
object that scales
coordinates by the specified factors.public static AffineTransform getShearInstance(double shx, double shy)
[ 1 shx 0 ] [ shy 1 0 ] [ 0 0 1 ]
shx
 the multiplier by which coordinates are shifted in the
direction of the positive X axis as a factor of their Y coordinateshy
 the multiplier by which coordinates are shifted in the
direction of the positive Y axis as a factor of their X coordinate
AffineTransform
object that shears
coordinates by the specified multipliers.public int getType()
TYPE_IDENTITY
,
TYPE_TRANSLATION
,
TYPE_UNIFORM_SCALE
,
TYPE_GENERAL_SCALE
,
TYPE_QUADRANT_ROTATION
,
TYPE_GENERAL_ROTATION
,
TYPE_GENERAL_TRANSFORM
public double getDeterminant()
If the determinant is nonzero, then this transform is
invertible and the various methods that depend on the inverse
transform do not need to throw a
NoninvertibleTransformException
.
If the determinant is zero then this transform can not be
inverted since the transform maps all input coordinates onto
a line or a point.
If the determinant is near enough to zero then inverse transform
operations might not carry enough precision to produce meaningful
results.
If this transform represents a uniform scale, as indicated by
the getType
method then the determinant also
represents the square of the uniform scale factor by which all of
the points are expanded from or contracted towards the origin.
If this transform represents a nonuniform scale or more general
transform then the determinant is not likely to represent a
value useful for any purpose other than determining if inverse
transforms are possible.
Mathematically, the determinant is calculated using the formula:
 m00 m01 m02   m10 m11 m12  = m00 * m11  m01 * m10  0 0 1 
getType()
,
createInverse()
,
inverseTransform(java.awt.geom.Point2D, java.awt.geom.Point2D)
,
TYPE_UNIFORM_SCALE
public void getMatrix(double[] flatmatrix)
flatmatrix
 the double array used to store the returned
values.getScaleX()
,
getScaleY()
,
getShearX()
,
getShearY()
,
getTranslateX()
,
getTranslateY()
public double getScaleX()
getMatrix(double[])
public double getScaleY()
getMatrix(double[])
public double getShearX()
getMatrix(double[])
public double getShearY()
getMatrix(double[])
public double getTranslateX()
getMatrix(double[])
public double getTranslateY()
getMatrix(double[])
public void translate(double tx, double ty)
AffineTransform
represented by the following matrix:
[ 1 0 tx ] [ 0 1 ty ] [ 0 0 1 ]
tx
 the distance by which coordinates are translated in the
X axis directionty
 the distance by which coordinates are translated in the
Y axis directionpublic void rotate(double theta)
AffineTransform
represented by the following matrix:
[ cos(theta) sin(theta) 0 ] [ sin(theta) cos(theta) 0 ] [ 0 0 1 ]Rotating with a positive angle theta rotates points on the positive x axis toward the positive y axis.
theta
 the angle of rotation in radianspublic void rotate(double theta, double x, double y)
This operation is equivalent to the following sequence of calls:
translate(x, y); // S3: final translation rotate(theta); // S2: rotate around anchor translate(x, y); // S1: translate anchor to originRotating with a positive angle theta rotates points on the positive x axis toward the positive y axis.
theta
 the angle of rotation in radiansx, y
 the coordinates of the anchor point of the
rotationpublic void scale(double sx, double sy)
AffineTransform
represented by the following matrix:
[ sx 0 0 ] [ 0 sy 0 ] [ 0 0 1 ]
sx
 the factor by which coordinates are scaled along the
X axis directionsy
 the factor by which coordinates are scaled along the
Y axis directionpublic void shear(double shx, double shy)
AffineTransform
represented by the following matrix:
[ 1 shx 0 ] [ shy 1 0 ] [ 0 0 1 ]
shx
 the multiplier by which coordinates are shifted in the
direction of the positive X axis as a factor of their Y coordinateshy
 the multiplier by which coordinates are shifted in the
direction of the positive Y axis as a factor of their X coordinatepublic void setToIdentity()
public void setToTranslation(double tx, double ty)
[ 1 0 tx ] [ 0 1 ty ] [ 0 0 1 ]
tx
 the distance by which coordinates are translated in the
X axis directionty
 the distance by which coordinates are translated in the
Y axis directionpublic void setToRotation(double theta)
[ cos(theta) sin(theta) 0 ] [ sin(theta) cos(theta) 0 ] [ 0 0 1 ]Rotating with a positive angle theta rotates points on the positive x axis toward the positive y axis.
theta
 the angle of rotation in radianspublic void setToRotation(double theta, double x, double y)
This operation is equivalent to the following sequence of calls:
setToTranslation(x, y); // S3: final translation rotate(theta); // S2: rotate around anchor translate(x, y); // S1: translate anchor to originThe matrix representing this transform becomes:
[ cos(theta) sin(theta) xx*cos+y*sin ] [ sin(theta) cos(theta) yx*siny*cos ] [ 0 0 1 ]Rotating with a positive angle theta rotates points on the positive x axis toward the positive y axis.
theta
 the angle of rotation in radiansx, y
 the coordinates of the anchor point of the
rotationpublic void setToScale(double sx, double sy)
[ sx 0 0 ] [ 0 sy 0 ] [ 0 0 1 ]
sx
 the factor by which coordinates are scaled along the
X axis directionsy
 the factor by which coordinates are scaled along the
Y axis directionpublic void setToShear(double shx, double shy)
[ 1 shx 0 ] [ shy 1 0 ] [ 0 0 1 ]
shx
 the multiplier by which coordinates are shifted in the
direction of the positive X axis as a factor of their Y coordinateshy
 the multiplier by which coordinates are shifted in the
direction of the positive Y axis as a factor of their X coordinatepublic void setTransform(AffineTransform Tx)
AffineTransform
object.
Tx
 the AffineTransform
object from which to
copy the transformpublic void setTransform(double m00, double m10, double m01, double m11, double m02, double m12)
m00, m01, m02, m10, m11, m12
 the
6 floating point values that compose the 3x3 transformation matrixpublic void concatenate(AffineTransform Tx)
AffineTransform
Tx
to
this AffineTransform
Cx in the most commonly useful
way to provide a new user space
that is mapped to the former user space by Tx
.
Cx is updated to perform the combined transformation.
Transforming a point p by the updated transform Cx' is
equivalent to first transforming p by Tx
and then
transforming the result by the original transform Cx like this:
Cx'(p) = Cx(Tx(p))
In matrix notation, if this transform Cx is
represented by the matrix [this] and Tx
is represented
by the matrix [Tx] then this method does the following:
[this] = [this] x [Tx]
Tx
 the AffineTransform
object to be
concatenated with this AffineTransform
object.preConcatenate(java.awt.geom.AffineTransform)
public void preConcatenate(AffineTransform Tx)
AffineTransform
Tx
to
this AffineTransform
Cx
in a less commonly used way such that Tx
modifies the
coordinate transformation relative to the absolute pixel
space rather than relative to the existing user space.
Cx is updated to perform the combined transformation.
Transforming a point p by the updated transform Cx' is
equivalent to first transforming p by the original transform
Cx and then transforming the result by
Tx
like this:
Cx'(p) = Tx(Cx(p))
In matrix notation, if this transform Cx
is represented by the matrix [this] and Tx
is
represented by the matrix [Tx] then this method does the
following:
[this] = [Tx] x [this]
Tx
 the AffineTransform
object to be
concatenated with this AffineTransform
object.concatenate(java.awt.geom.AffineTransform)
public AffineTransform createInverse() throws NoninvertibleTransformException
AffineTransform
object representing the
inverse transformation.
The inverse transform Tx' of this transform Tx
maps coordinates transformed by Tx back
to their original coordinates.
In other words, Tx'(Tx(p)) = p = Tx(Tx'(p)).
If this transform maps all coordinates onto a point or a line
then it will not have an inverse, since coordinates that do
not lie on the destination point or line will not have an inverse
mapping.
The getDeterminant
method can be used to determine if this
transform has no inverse, in which case an exception will be
thrown if the createInverse
method is called.
AffineTransform
object representing the
inverse transformation.
NoninvertibleTransformException
 if the matrix cannot be inverted.getDeterminant()
public Point2D transform(Point2D ptSrc, Point2D ptDst)
ptSrc
and stores the result
in ptDst
.
If ptDst
is null
, a new Point2D
object is allocated and then the result of the transformation is
stored in this object.
In either case, ptDst
, which contains the
transformed point, is returned for convenience.
If ptSrc
and ptDst
are the same
object, the input point is correctly overwritten with
the transformed point.
ptSrc
 the specified Point2D
to be transformedptDst
 the specified Point2D
that stores the
result of transforming ptSrc
ptDst
after transforming
ptSrc
and stroring the result in ptDst
.public void transform(Point2D[] ptSrc, int srcOff, Point2D[] ptDst, int dstOff, int numPts)
ptDst
array is
null
, a new Point2D
object is allocated
and stored into that element before storing the results of the
transformation.
Note that this method does not take any precautions to
avoid problems caused by storing results into Point2D
objects that will be used as the source for calculations
further down the source array.
This method does guarantee that if a specified Point2D
object is both the source and destination for the same single point
transform operation then the results will not be stored until
the calculations are complete to avoid storing the results on
top of the operands.
If, however, the destination Point2D
object for one
operation is the same object as the source Point2D
object for another operation further down the source array then
the original coordinates in that point are overwritten before
they can be converted.
ptSrc
 the array containing the source point objectsptDst
 the array into which the transform point objects are
returnedsrcOff
 the offset to the first point object to be
transformed in the source arraydstOff
 the offset to the location of the first
transformed point object that is stored in the destination arraynumPts
 the number of point objects to be transformedpublic void transform(float[] srcPts, int srcOff, float[] dstPts, int dstOff, int numPts)
[x0, y0, x1, y1, ..., xn, yn]
.
srcPts
 the array containing the source point coordinates.
Each point is stored as a pair of x, y coordinates.dstPts
 the array into which the transformed point coordinates
are returned. Each point is stored as a pair of x, y
coordinates.srcOff
 the offset to the first point to be transformed
in the source arraydstOff
 the offset to the location of the first
transformed point that is stored in the destination arraynumPts
 the number of points to be transformedpublic void transform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts)
[x0, y0, x1, y1, ..., xn, yn]
.
srcPts
 the array containing the source point coordinates.
Each point is stored as a pair of x, y coordinates.dstPts
 the array into which the transformed point
coordinates are returned. Each point is stored as a pair of
x, y coordinates.srcOff
 the offset to the first point to be transformed
in the source arraydstOff
 the offset to the location of the first
transformed point that is stored in the destination arraynumPts
 the number of point objects to be transformedpublic void transform(float[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts)
[x0, y0, x1, y1, ..., xn, yn]
.
srcPts
 the array containing the source point coordinates.
Each point is stored as a pair of x, y coordinates.dstPts
 the array into which the transformed point coordinates
are returned. Each point is stored as a pair of x, y
coordinates.srcOff
 the offset to the first point to be transformed
in the source arraydstOff
 the offset to the location of the first
transformed point that is stored in the destination arraynumPts
 the number of points to be transformedpublic void transform(double[] srcPts, int srcOff, float[] dstPts, int dstOff, int numPts)
[x0, y0, x1, y1, ..., xn, yn]
.
srcPts
 the array containing the source point coordinates.
Each point is stored as a pair of x, y coordinates.dstPts
 the array into which the transformed point
coordinates are returned. Each point is stored as a pair of
x, y coordinates.srcOff
 the offset to the first point to be transformed
in the source arraydstOff
 the offset to the location of the first
transformed point that is stored in the destination arraynumPts
 the number of point objects to be transformedpublic Point2D inverseTransform(Point2D ptSrc, Point2D ptDst) throws NoninvertibleTransformException
ptSrc
and stores the
result in ptDst
.
If ptDst
is null
, a new
Point2D
object is allocated and then the result of the
transform is stored in this object.
In either case, ptDst
, which contains the transformed
point, is returned for convenience.
If ptSrc
and ptDst
are the same
object, the input point is correctly overwritten with the
transformed point.
ptSrc
 the point to be inverse transformedptDst
 the resulting transformed point
ptDst
, which contains the result of the
inverse transform.
NoninvertibleTransformException
 if the matrix cannot be
inverted.public void inverseTransform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts) throws NoninvertibleTransformException
[x0, y0, x1, y1, ..., xn, yn]
.
srcPts
 the array containing the source point coordinates.
Each point is stored as a pair of x, y coordinates.dstPts
 the array into which the transformed point
coordinates are returned. Each point is stored as a pair of
x, y coordinates.srcOff
 the offset to the first point to be transformed
in the source arraydstOff
 the offset to the location of the first
transformed point that is stored in the destination arraynumPts
 the number of point objects to be transformed
NoninvertibleTransformException
 if the matrix cannot be
inverted.public Point2D deltaTransform(Point2D ptSrc, Point2D ptDst)
ptSrc
and stores the result in ptDst
.
A relative distance vector is transformed without applying the
translation components of the affine transformation matrix
using the following equations:
[ x' ] [ m00 m01 (m02) ] [ x ] [ m00x + m01y ] [ y' ] = [ m10 m11 (m12) ] [ y ] = [ m10x + m11y ] [ (1) ] [ (0) (0) ( 1 ) ] [ (1) ] [ (1) ]If
ptDst
is null
, a new
Point2D
object is allocated and then the result of the
transform is stored in this object.
In either case, ptDst
, which contains the
transformed point, is returned for convenience.
If ptSrc
and ptDst
are the same object,
the input point is correctly overwritten with the transformed
point.
ptSrc
 the distance vector to be delta transformedptDst
 the resulting transformed distance vector
ptDst
, which contains the result of the
transformation.public void deltaTransform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts)
[ x' ] [ m00 m01 (m02) ] [ x ] [ m00x + m01y ] [ y' ] = [ m10 m11 (m12) ] [ y ] = [ m10x + m11y ] [ (1) ] [ (0) (0) ( 1 ) ] [ (1) ] [ (1) ]The two coordinate array sections can be exactly the same or can be overlapping sections of the same array without affecting the validity of the results. This method ensures that no source coordinates are overwritten by a previous operation before they can be transformed. The coordinates are stored in the arrays starting at the indicated offset in the order
[x0, y0, x1, y1, ..., xn, yn]
.
srcPts
 the array containing the source distance vectors.
Each vector is stored as a pair of relative x, y coordinates.dstPts
 the array into which the transformed distance vectors
are returned. Each vector is stored as a pair of relative
x, y coordinates.srcOff
 the offset to the first vector to be transformed
in the source arraydstOff
 the offset to the location of the first
transformed vector that is stored in the destination arraynumPts
 the number of vector coordinate pairs to be
transformedpublic Shape createTransformedShape(Shape pSrc)
Shape
object defined by the geometry of the
specified Shape
after it has been transformed by
this transform.
pSrc
 the specified Shape
object to be
transformed by this transform.
Shape
object that defines the geometry
of the transformed Shape
.public String toString()
String
that represents the value of this
Object
.
toString
in class Object
String
representing the value of this
Object
.public boolean isIdentity()
true
if this AffineTransform
is
an identity transform.
true
if this AffineTransform
is
an identity transform; false
otherwise.public Object clone()
AffineTransform
object.
clone
in class Object
Object
that is a copy of this
AffineTransform
object.Cloneable
public int hashCode()
hashCode
in class Object
Object.equals(java.lang.Object)
,
Hashtable
public boolean equals(Object obj)
true
if this AffineTransform
represents the same affine coordinate transform as the specified
argument.
equals
in class Object
obj
 the Object
to test for equality with this
AffineTransform
true
if obj
equals this
AffineTransform
object; false
otherwise.Object.hashCode()
,
Hashtable

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