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Class java.awt.geom.AffineTransform

java.lang.Object
    |
    +----java.awt.geom.AffineTransform

public class AffineTransform
extends Object
implements Cloneable
This class represents a 2D affine transform which performs a linear mapping from 2D coordinates to other 2D coordinates in a manner which 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 ] which 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  ANY_ROTATION_MASK
This flag is a bit mask for any of the rotation flag bits.
static int  ANY_SCALE_MASK
This flag is a bit mask for any of the scale flag bits.
static int  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  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  GENERAL_TRANSFORM
This flag bit indicates that the transform defined by this object performs an arbitrary conversion of the input coordinates.
static int  IDENTITY
This constant indicates that the transform defined by this object is an identity transform.
static int  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  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  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 representing a copy of another AffineTransform object.
 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.
 AffineTransform(float[] flatmatrix)
Constructs a new AffineTransform from an array of floating point values representing either the 4 non-translation or the 6 specifiable entries of the 3x3 transformation matrix.
 AffineTransform(float[][] matrix)
Constructs a new AffineTransform from a 2-dimensional array of floating point values representing either the 4 non-translation 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(double[] flatmatrix)
Constructs a new AffineTransform from an array of double precision values representing either the 4 non-translation or the 6 specifiable entries of the 3x3 transformation matrix.
 AffineTransform(double[][] matrix)
Constructs a new AffineTransform from a 2-dimensional array of double precision values representing either the 4 non-translation or 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 which is mapped to the former user space by Tx.
AffineTransform  createInverse()
Returns an AffineTransform object representing the inverse transformation.
Shape  createTransformedShape(Shape pSrc)
Transforms a shape object by this transform.
Point2D  deltaTransform(Point2D ptSrc, Point2D ptDst)
Transforms the relative distance vector specified by ptSrc and stores the result in ptDst.
void  deltaTransform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts)
Transforms an array of relative distance vectors by this transform.
boolean  equals(Object obj)
 
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 into an array of double precisions values.
void  getMatrix(double[][] matrix)
Retrieves the 6 specifiable values in the 3x3 affine transformation matrix into a 2-dimensional array of double precision 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 representing a translated rotation transformation.
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 translation element (m02) of the 3x3 affine transformation matrix.
double  getTranslateY()
Returns the Y coordinate translation element (m12) of the 3x3 affine transformation matrix.
int  getType()
Retrieves the flag bits describing the conversion properties of this transform.
Point2D  inverseTransform(Point2D ptSrc, Point2D ptDst)
Inverse transforms the specified ptSrc and stores the result in ptDst.
void  inverseTransform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts)
Inverse transforms an array of double precision coordinates by this transform.
boolean  isIdentity()
Returns the boolean true value 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 translated rotation transformation.
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 indicated 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.
Point2D  transform(Point2D ptSrc, Point2D ptDst)
Transforms the specified ptSrc and stores the result in ptDst.
void  transform(Point2D[] ptSrc, int srcOff, Point2D[] ptDst, int dstOff, int numPts)
Transforms an array of point objects by this transform.
void  transform(float[] srcPts, int srcOff, float[] dstPts, int dstOff, int numPts)
Transforms an array of floating point coordinates by this transform.
void  transform(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts)
Transforms an array of double precision coordinates by this transform.
void  transform(float[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts)
Transforms an array of floating point coordinates by this transform, storing the results into an array of doubles.
void  transform(double[] srcPts, int srcOff, float[] dstPts, int dstOff, int numPts)
Transforms an array of double precision coordinates by this transform, storing the results into an array of floats.
void  translate(double tx, double ty)
Concatenates this transform with a translation transformation.
 
Methods inherited from class java.lang.Object
 clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
 

Field Detail

IDENTITY

public static final int IDENTITY
This constant indicates that the transform defined by this object is an identity transform. An identity transform is one in which the output coordinates are always the same as the input coordinates. If this transform is anything other than the identity transform, the type will be a combination of the appropriate flag bits for the various coordinate conversions that this transform performs.
See Also:
TRANSLATION, UNIFORM_SCALE, GENERAL_SCALE, QUADRANT_ROTATION, GENERAL_ROTATION, GENERAL_TRANSFORM, getType

TRANSLATION

public static final int 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. A translation moves the coordinates by a constant amount in x and y without changing the length or angle of vectors.
See Also:
IDENTITY, UNIFORM_SCALE, GENERAL_SCALE, QUADRANT_ROTATION, GENERAL_ROTATION, GENERAL_TRANSFORM, getType

UNIFORM_SCALE

public static final int 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. A uniform scale multiplies the length of vectors by the same amount in both the x and y directions without changing the angle between vectors. This flag bit is mutually exclusive with the GENERAL_SCALE flag.
See Also:
IDENTITY, TRANSLATION, GENERAL_SCALE, QUADRANT_ROTATION, GENERAL_ROTATION, GENERAL_TRANSFORM, getType

GENERAL_SCALE

public static final int 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. A general scale multiplies the length of vectors by different amounts in the x and y directions without changing the angle between vectors. This flag bit is mutually exclusive with the UNIFORM_SCALE flag.
See Also:
IDENTITY, TRANSLATION, UNIFORM_SCALE, QUADRANT_ROTATION, GENERAL_ROTATION, GENERAL_TRANSFORM, getType

ANY_SCALE_MASK

public static final int ANY_SCALE_MASK
This flag is a bit mask for any of the scale flag bits.

QUADRANT_ROTATION

public static final int 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. A rotation changes the angles of vectors by the same amount regardless of the original direction of the vector without changing the length of the vector. This flag bit is mutually exclusive with the GENERAL_ROTATION flag.
See Also:
IDENTITY, TRANSLATION, UNIFORM_SCALE, GENERAL_SCALE, GENERAL_ROTATION, GENERAL_TRANSFORM, getType

GENERAL_ROTATION

public static final int 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. A rotation changes the angles of vectors by the same amount regardless of the original direction of the vector without changing the length of the vector. This flag bit is mutually exclusive with the QUADRANT_ROTATION flag.
See Also:
IDENTITY, TRANSLATION, UNIFORM_SCALE, GENERAL_SCALE, QUADRANT_ROTATION, GENERAL_TRANSFORM, getType

ANY_ROTATION_MASK

public static final int ANY_ROTATION_MASK
This flag is a bit mask for any of the rotation flag bits.

GENERAL_TRANSFORM

public static final int GENERAL_TRANSFORM
This flag bit indicates that the transform defined by this object performs an arbitrary conversion of the input coordinates. This flag bit is mutually exclusive with any of the other flags.
See Also:
IDENTITY, TRANSLATION, UNIFORM_SCALE, GENERAL_SCALE, QUADRANT_ROTATION, GENERAL_ROTATION, getType
Constructor Detail

AffineTransform

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

AffineTransform

public AffineTransform(AffineTransform Tx)
Constructs a new AffineTransform representing a copy of another AffineTransform object.
Parameters:
Tx - the AffineTransform object from which to copy the transformation

AffineTransform

public 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.

AffineTransform

public AffineTransform(float[] flatmatrix)
Constructs a new AffineTransform from an array of floating point values representing either the 4 non-translation or the 6 specifiable entries of the 3x3 transformation matrix. The values are retrieved from the array as { m00 m10 m01 m11 [m02 m12] }.
Parameters:
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.

AffineTransform

public AffineTransform(float[][] matrix)
Constructs a new AffineTransform from a 2-dimensional array of floating point values representing either the 4 non-translation or the 6 specifiable entries of the 3x3 transformation matrix. The values are retrieved from the 2-dimensional array using the row index as the first subscript and the column index as the second.
Parameters:
matrix - The matrix used to construct the new AffineTransform object. Matrix is assumed to be at least 2x2. If the matrix is smaller than 2x3, only the left upper 2x2 matrix is taken. If the matrix is larger than 2x3, the left upper 2x3 matrix is taken.

AffineTransform

public 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

public AffineTransform(double[] flatmatrix)
Constructs a new AffineTransform from an array of double precision values representing either the 4 non-translation or the 6 specifiable entries of the 3x3 transformation matrix. The values are retrieved from the array as { m00 m10 m01 m11 [m02 m12] }.
Parameters:
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.

AffineTransform

public AffineTransform(double[][] matrix)
Constructs a new AffineTransform from a 2-dimensional array of double precision values representing either the 4 non-translation or the 6 specifiable entries of the 3x3 transformation matrix. The values are retrieved from the 2-dimensional array using the row index as the first subscript and the column index as the second.
Parameters:
matrix - The matrix used to construct the new AffineTransform object. Matrix is assumed to be at least 2x2. If the matrix is smaller than 2x3, only the left upper 2x2 matrix is taken. If the matrix is larger than 2x3, the left upper 2x3 matrix is taken.
Method Detail

getTranslateInstance

public static AffineTransform getTranslateInstance(double tx,
                                                   double ty)
Returns a transform representing a translation transformation. The matrix representing by the returned transform transform will be:
		[   1    0    tx  ]
		[   0    1    ty  ]
		[   0    0    1   ]
 
Parameters:
tx - The distance by which coordinates are translated in the X axis direction
ty - The distance by which coordinates are translated in the Y axis direction

getRotateInstance

public static AffineTransform getRotateInstance(double theta)
Returns a transform representing a rotation transformation. The matrix representing by the returned transform transform will be:
		[   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.
Parameters:
theta - The angle of rotation in radians.

getRotateInstance

public static AffineTransform getRotateInstance(double theta,
                                                double x,
                                                double y)
Returns a transform representing a translated rotation transformation. This is equivalent to the following sequence of calls:
		AffineTransform Tx = new AffineTransform();
		Tx.setToTranslation(x, y);
		Tx.rotate(theta);
		Tx.translate(-x, -y);
 
The matrix representing by the returned transform transform will be:
		[   cos(theta)    -sin(theta)    x-x*cos+y*sin  ]
		[   sin(theta)     cos(theta)    y-x*sin-y*cos  ]
		[       0              0               1        ]
 
Rotating with a positive angle theta rotates points on the positive x axis toward the positive y axis.
Parameters:
theta - The angle of rotation in radians.
x - The x coordinate of the origin of the rotation
y - The x coordinate of the origin of the rotation

getScaleInstance

public static AffineTransform getScaleInstance(double sx,
                                               double sy)
Returns a transform representing a scaling transformation. The matrix representing by the returned transform transform will be:
		[   sx   0    0   ]
		[   0    sy   0   ]
		[   0    0    1   ]
 
Parameters:
sx - The factor by which coordinates are scaled along the X axis direction
sy - The factor by which coordinates are scaled along the Y axis direction

getShearInstance

public static AffineTransform getShearInstance(double shx,
                                               double shy)
Returns a transform representing a shearing transformation. The matrix representing by the returned transform transform will be:
		[   1   shx   0   ]
		[  shy   1    0   ]
		[   0    0    1   ]
 
Parameters:
shx - The factor by which coordinates are shifted towards the positive X axis direction according to their Y coordinate
shy - The factor by which coordinates are shifted towards the positive Y axis direction according to their X coordinate

getType

public int getType()
Retrieves the flag bits describing the conversion properties of this transform. The return value will be a combination of the appriopriate conversion flag bits.
Returns:
the OR combination of any of the indicated flags that apply to this transform
See Also:
TRANSLATION, UNIFORM_SCALE, GENERAL_SCALE, QUADRANT_ROTATION, GENERAL_ROTATION, GENERAL_TRANSFORM

getDeterminant

public double getDeterminant()
Returns the determinant of the matrix representation of the transform. The determinant is useful both to determine if the transform can be inverted and also to get a single value representing the combined X and Y scaling of the transform.

If the determinant is non-zero, then this transform will be invertable and the various methods which depend on the inverse transform will 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 may not carry enough precision to produce meaningful results.

If this transform represents a uniform scale, as indicated by the getType method, then the determinant will also represent 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 non-uniform scale or more general transform, then the determinant is not likely to represent a value useful for any other purpose 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   |
 
Returns:
the determinant of the matrix used to transform the coordinates
See Also:
getType, createInverse, inverseTransform, UNIFORM_SCALE

getMatrix

public void getMatrix(double[] flatmatrix)
Retrieves the 6 specifiable values in the 3x3 affine transformation matrix into an array of double precisions values. The values are stored into the array as { m00 m10 m01 m11 m02 m12 }.
Parameters:
flatmatrix - The double array used to store the returned values. The length of the array is assumed to be at least 6.
See Also:
getScaleX, getScaleY, getShearX, getShearY, getTranslateX, getTranslateY

getMatrix

public void getMatrix(double[][] matrix)
Retrieves the 6 specifiable values in the 3x3 affine transformation matrix into a 2-dimensional array of double precision values. The values are stored into the 2-dimensional array using the row index as the first subscript and the column index as the second.
Parameters:
matrix - The 2-dimensional double array to store the returned values. The array is assumed to be at least 2x3.
See Also:
getScaleX, getScaleY, getShearX, getShearY, getTranslateX, getTranslateY

getScaleX

public double getScaleX()
Returns the X coordinate scaling element (m00) of the 3x3 affine transformation matrix.
See Also:
getMatrix

getScaleY

public double getScaleY()
Returns the Y coordinate scaling element (m11) of the 3x3 affine transformation matrix.
See Also:
getMatrix

getShearX

public double getShearX()
Returns the X coordinate shearing element (m01) of the 3x3 affine transformation matrix.
See Also:
getMatrix

getShearY

public double getShearY()
Returns the Y coordinate shearing element (m10) of the 3x3 affine transformation matrix.
See Also:
getMatrix

getTranslateX

public double getTranslateX()
Returns the X coordinate translation element (m02) of the 3x3 affine transformation matrix.
See Also:
getMatrix

getTranslateY

public double getTranslateY()
Returns the Y coordinate translation element (m12) of the 3x3 affine transformation matrix.
See Also:
getMatrix

translate

public void translate(double tx,
                      double ty)
Concatenates this transform with a translation transformation. This is equivalent to calling concatenate(T), where T is an AffineTransform represented by the following matrix:
		[   1    0    tx  ]
		[   0    1    ty  ]
		[   0    0    1   ]
 

rotate

public void rotate(double theta)
Concatenates this transform with a rotation transformation. This is equivalent to calling concatenate(R), where R is an 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.
Parameters:
theta - The angle of rotation in radians.

rotate

public void rotate(double theta,
                   double x,
                   double y)
Concatenates this transform with a translated rotation transformation. This is equivalent to the following sequence of calls:
		translate(x, y);
		rotate(theta);
		translate(-x, -y);
 
Rotating with a positive angle theta rotates points on the positive x axis toward the positive y axis.
Parameters:
theta - The angle of rotation in radians.
x - The x coordinate of the origin of the rotation
y - The x coordinate of the origin of the rotation

scale

public void scale(double sx,
                  double sy)
Concatenates this transform with a scaling transformation. This is equivalent to calling concatenate(S), where S is an AffineTransform represented by the following matrix:
		[   sx   0    0   ]
		[   0    sy   0   ]
		[   0    0    1   ]
 

shear

public void shear(double shx,
                  double shy)
Concatenates this transform with a shearing transformation. This is equivalent to calling concatenate(SH), where SH is an AffineTransform represented by the following matrix:
		[   1   shx   0   ]
		[  shy   1    0   ]
		[   0    0    1   ]
 
Parameters:
shx - The factor by which coordinates are shifted towards the positive X axis direction according to their Y coordinate
shy - The factor by which coordinates are shifted towards the positive Y axis direction according to their X coordinate

setToIdentity

public void setToIdentity()
Resets this transform to the Identity transform.

setToTranslation

public void setToTranslation(double tx,
                             double ty)
Sets this transform to a translation transformation. The matrix representing this transform becomes:
		[   1    0    tx  ]
		[   0    1    ty  ]
		[   0    0    1   ]
 
Parameters:
tx - The distance by which coordinates are translated in the X axis direction
ty - The distance by which coordinates are translated in the Y axis direction

setToRotation

public void setToRotation(double theta)
Sets this transform to a rotation transformation. The matrix representing this transform becomes:
		[   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.
Parameters:
theta - The angle of rotation in radians.

setToRotation

public void setToRotation(double theta,
                          double x,
                          double y)
Sets this transform to a translated rotation transformation. This is equivalent to the following sequence of calls:
		setToTranslation(x, y);
		rotate(theta);
		translate(-x, -y);
 
The matrix representing this transform becomes:
		[   cos(theta)    -sin(theta)    x-x*cos+y*sin  ]
		[   sin(theta)     cos(theta)    y-x*sin-y*cos  ]
		[       0              0               1        ]
 
Rotating with a positive angle theta rotates points on the positive x axis toward the positive y axis.
Parameters:
theta - The angle of rotation in radians.
x - The x coordinate of the origin of the rotation
y - The x coordinate of the origin of the rotation

setToScale

public void setToScale(double sx,
                       double sy)
Sets this transform to a scaling transformation. The matrix representing this transform becomes:
		[   sx   0    0   ]
		[   0    sy   0   ]
		[   0    0    1   ]
 
Parameters:
sx - The factor by which coordinates are scaled along the X axis direction
sy - The factor by which coordinates are scaled along the Y axis direction

setToShear

public void setToShear(double shx,
                       double shy)
Sets this transform to a shearing transformation. The matrix representing this transform becomes:
		[   1   shx   0   ]
		[  shy   1    0   ]
		[   0    0    1   ]
 
Parameters:
shx - The factor by which coordinates are shifted towards the positive X axis direction according to their Y coordinate
shy - The factor by which coordinates are shifted towards the positive Y axis direction according to their X coordinate

setTransform

public void setTransform(AffineTransform Tx)
Sets this transform to a copy of the transform in the indicated AffineTransform object.
Parameters:
Tx - the AffineTransform object from which to copy the transform

setTransform

public 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.

concatenate

public void concatenate(AffineTransform Tx)
Concatenates an AffineTransform Tx to this AffineTransform Cx in the most commonly useful way to provide a new user space which 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. In other words, 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]
 
Parameters:
Tx - The AffineTransform object to be concatenated with this AffineTransform object.
See Also:
preConcatenate

preConcatenate

public 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. 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. In other words, 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]
 
Parameters:
Tx - The AffineTransform object to be concatenated with this AffineTransform object.
See Also:
concatenate

createInverse

public AffineTransform createInverse() throws NoninvertibleTransformException
Returns an AffineTransform object representing the inverse transformation.
Throws:
NoninvertibleTransformException - if the matrix cannot be inverted.

transform

public Point2D transform(Point2D ptSrc,
                         Point2D ptDst)
Transforms the specified ptSrc and stores the result in ptDst. If ptDst is null, a new Point2D object will be allocated before storing. In either case, ptDst containing the transformed point is returned for convenience. Note that ptSrc and ptDst can the same. In this case, the input point will be overwritten with the transformed point.

transform

public void transform(Point2D[] ptSrc,
                      int srcOff,
                      Point2D[] ptDst,
                      int dstOff,
                      int numPts)
Transforms an array of point objects by this transform.
Parameters:
ptSrc - The array containing the source point objects.
ptDst - The array where the transform point objects are returned.
srcOff - The offset to the first point object to be transformed in the source array.
dstOff - The offset to the location where the first transformed point object is stored in the destination array.
numPts - The number of point objects to be transformed.

transform

public void transform(float[] srcPts,
                      int srcOff,
                      float[] dstPts,
                      int dstOff,
                      int numPts)
Transforms an array of floating point coordinates by this transform.
Parameters:
ptSrc - The array containing the source point coordinates. Each point is stored as a pair of x,y coordinates.
ptDst - The array where 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 array.
dstOff - The offset to the location where the first transformed point is stored in the destination array.
numPts - The number of points to be transformed.

transform

public void transform(double[] srcPts,
                      int srcOff,
                      double[] dstPts,
                      int dstOff,
                      int numPts)
Transforms an array of double precision coordinates by this transform.
Parameters:
srcPts - The array containing the source point coordinates. Each point is stored as a pair of x,y coordinates.
dstPts - The array where 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 array.
dstOff - The offset to the location where the first transformed point is stored in the destination array.
numPts - The number of point objects to be transformed.

transform

public void transform(float[] srcPts,
                      int srcOff,
                      double[] dstPts,
                      int dstOff,
                      int numPts)
Transforms an array of floating point coordinates by this transform, storing the results into an array of doubles.
Parameters:
ptSrc - The array containing the source point coordinates. Each point is stored as a pair of x,y coordinates.
ptDst - The array where 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 array.
dstOff - The offset to the location where the first transformed point is stored in the destination array.
numPts - The number of points to be transformed.

transform

public void transform(double[] srcPts,
                      int srcOff,
                      float[] dstPts,
                      int dstOff,
                      int numPts)
Transforms an array of double precision coordinates by this transform, storing the results into an array of floats.
Parameters:
srcPts - The array containing the source point coordinates. Each point is stored as a pair of x,y coordinates.
dstPts - The array where 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 array.
dstOff - The offset to the location where the first transformed point is stored in the destination array.
numPts - The number of point objects to be transformed.

inverseTransform

public Point2D inverseTransform(Point2D ptSrc,
                                Point2D ptDst) throws NoninvertibleTransformException
Inverse transforms the specified ptSrc and stores the result in ptDst. If ptDst is null, a new Point2D object will be allocated before storing. In either case, ptDst containing the transformed point is returned for convenience. Note that ptSrc and ptDst can the same. In this case, the input point will be overwritten with the transformed point.
Parameters:
ptSrc - The point to be inverse transformed.
ptDst - The resulting transformed point.
Throws:
NoninvertibleTransformException - if the matrix cannot be inverted.

inverseTransform

public void inverseTransform(double[] srcPts,
                             int srcOff,
                             double[] dstPts,
                             int dstOff,
                             int numPts) throws NoninvertibleTransformException
Inverse transforms an array of double precision coordinates by this transform.
Parameters:
srcPts - The array containing the source point coordinates. Each point is stored as a pair of x,y coordinates.
dstPts - The array where 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 array.
dstOff - The offset to the location where the first transformed point is stored in the destination array.
numPts - The number of point objects to be transformed.
Throws:
NoninvertibleTransformException - if the matrix cannot be inverted.

deltaTransform

public Point2D deltaTransform(Point2D ptSrc,
                              Point2D ptDst)
Transforms the relative distance vector specified by 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 will be allocated before storing. In either case, ptDst containing the transformed point is returned for convenience. Note that ptSrc and ptDst can the same. In this case, the input point will be overwritten with the transformed point.
Parameters:
ptSrc - The distance vector to be inverse transformed.
ptDst - The resulting transformed distance vector.

deltaTransform

public void deltaTransform(double[] srcPts,
                           int srcOff,
                           double[] dstPts,
                           int dstOff,
                           int numPts)
Transforms an array of relative distance vectors by this transform. 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      ]
 
Parameters:
srcPts - The array containing the source distance vectors. Each vector is stored as a pair of relative x,y coordinates.
dstPts - The array where 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 array.
dstOff - The offset to the location where the first transformed vector is stored in the destination array.
numPts - The number of vector coordinate pairs to be transformed.

createTransformedShape

public Shape createTransformedShape(Shape pSrc)
Transforms a shape object by this transform.

toString

public String toString()
Returns a String that represents the value of this Object.
Overrides:
toString in class Object

isIdentity

public boolean isIdentity()
Returns the boolean true value if this AffineTransform is an identity transform. Returns false otherwise.

clone

public Object clone()
Returns a copy of this AffineTransform object.
Overrides:
clone in class Object

equals

public boolean equals(Object obj)
Overrides:
equals in class Object

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