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/*
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 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
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package javafx.scene.transform;


import com.sun.javafx.geom.transform.Affine3D;
import com.sun.javafx.geom.transform.BaseTransform;
import javafx.beans.property.DoubleProperty;
import javafx.beans.property.SimpleDoubleProperty;
import javafx.geometry.Point2D;
import javafx.geometry.Point3D;

// PENDING_DOC_REVIEW of this whole class
/**
 * 

* The {@code Affine} class represents a general affine transform. An affine * transform performs a linear mapping from 2D/3D coordinates to other 2D/3D * coordinates while preserving the "straightness" and "parallelness" * of lines. * Affine transformations can be constructed using sequence rotations, * translations, scales, and shears.

* *

* For simple transformations application developers should use the * specific {@code Translate}, {@code Scale}, {@code Rotate}, or {@code Shear} * transforms, which are more lightweight and thus more optimal for this simple * purpose. The {@code Affine} class, on the other hand, has the advantage * of being able to represent a general affine transform and perform matrix * operations on it in place, so it fits better for more complex transformation * usages.

*

* Such a coordinate transformation can be represented by a 3 row by * 4 column matrix. This matrix transforms source coordinates {@code (x,y,z)} * into destination coordinates {@code (x',y',z')} by considering * them to be a column vector and multiplying the coordinate vector * by the matrix according to the following process:

* *
 *      [ x']   [  mxx  mxy  mxz  tx  ] [ x ]   [ mxx * x + mxy * y + mxz * z + tx ]
 *      [ y'] = [  myx  myy  myz  ty  ] [ y ] = [ myx * x + myy * y + myz * z + ty ]
 *      [ z']   [  mzx  mzy  mzz  tz  ] [ z ]   [ mzx * x + mzy * y + mzz * z + tz ]
 *                                      [ 1 ]
 * 
* @since JavaFX 2.0 */ public class Affine extends Transform { /** * Tracks atomic changes of more elements. */ AffineAtomicChange atomicChange = new AffineAtomicChange(); /** * This constant is used for the internal state2d variable to indicate * that no calculations need to be performed and that the source * coordinates only need to be copied to their destinations to * complete the transformation equation of this transform. * @see #state2d */ private static final int APPLY_IDENTITY = 0; /** * This constant is used for the internal state2d and state3d variables * that the translation components of the matrix need to be added * to complete the transformation equation of this transform. * @see #state2d * @see #state3d */ private static final int APPLY_TRANSLATE = 1; /** * This constant is used for the internal state2d and state3d variables * to indicate that the scaling components of the matrix need * to be factored in to complete the transformation equation of * this transform. If the APPLY_SHEAR bit is also set then it * indicates that the scaling components are 0.0. If the * APPLY_SHEAR bit is not also set then it indicates that the * scaling components are not 1.0. If neither the APPLY_SHEAR * nor the APPLY_SCALE bits are set then the scaling components * are 1.0, which means that the x and y components contribute * to the transformed coordinate, but they are not multiplied by * any scaling factor. * @see #state2d * @see #state3d */ private static final int APPLY_SCALE = 2; /** * This constant is used for the internal state2d variable to indicate * that the shearing components of the matrix (mxy and myx) need * to be factored in to complete the transformation equation of this * transform. The presence of this bit in the state variable changes * the interpretation of the APPLY_SCALE bit as indicated in its * documentation. * @see #state2d */ private static final int APPLY_SHEAR = 4; /** * This constant is used for the internal state3d variable to indicate * that the matrix represents a 2D-only transform. */ private static final int APPLY_NON_3D = 0; /** * This constant is used for the internal state3d variable to indicate * that the matrix is not in any of the recognized simple states * and therefore needs a full usage of all elements to complete * the transformation equation of this transform. */ private static final int APPLY_3D_COMPLEX = 4; /** * If this is a 2D transform, this field keeps track of which components * of the matrix need to be applied when performing a transformation. * If this is a 3D transform, its state is store in the state3d variable * and value of state2d is undefined. * @see #APPLY_IDENTITY * @see #APPLY_TRANSLATE * @see #APPLY_SCALE * @see #APPLY_SHEAR * @see #state3d * @see #updateState() */ private transient int state2d; /** * This field keeps track of whether or not this transform is 3D and if so * it tracks several simple states that can be treated faster. If the state * is equal to APPLY_NON_3D, this is a 2D transform with its state stored * in the state2d variable. If the state is equal to APPLY_3D_COMPLEX, * the matrix is not in any of the simple states and needs to be fully * processed. Otherwise we recognize scale (mxx, myy and mzz * are not all equal to 1.0), translation (tx, ty and tz are not all * equal to 0.0) and their combination. In one of the simple states * all of the other elements of the matrix are equal to 0.0 (not even * shear is allowed). * @see #APPLY_NON_3D * @see #APPLY_TRANSLATE * @see #APPLY_SCALE * @see #APPLY_3D_COMPLEX * @see #state2d * @see #updateState() */ private transient int state3d; // Variables used for the elements until user requests creation // of the heavy-weight properties private double xx; private double xy; private double xz; private double yx; private double yy; private double yz; private double zx; private double zy; private double zz; private double xt; private double yt; private double zt; /** * Creates a new instance of {@code Affine} containing an identity transform. */ public Affine() { xx = yy = zz = 1.0; } /** * Creates a new instance of {@code Affine} filled with the values from * the specified transform. * @param transform transform whose matrix is to be filled to the new * instance * @throws NullPointerException if the specified {@code transform} is null * @since JavaFX 8.0 */ public Affine(Transform transform) { this(transform.getMxx(), transform.getMxy(), transform.getMxz(), transform.getTx(), transform.getMyx(), transform.getMyy(), transform.getMyz(), transform.getTy(), transform.getMzx(), transform.getMzy(), transform.getMzz(), transform.getTz()); } /** * Creates a new instance of {@code Affine} with a 2D transform specified * by the element values. * @param mxx the X coordinate scaling element * @param mxy the XY coordinate element * @param tx the X coordinate translation element * @param myx the YX coordinate element * @param myy the Y coordinate scaling element * @param ty the Y coordinate translation element * @since JavaFX 8.0 */ public Affine(double mxx, double mxy, double tx, double myx, double myy, double ty) { xx = mxx; xy = mxy; xt = tx; yx = myx; yy = myy; yt = ty; zz = 1.0; updateState2D(); } /** * Creates a new instance of {@code Affine} with a transform specified * by the element values. * @param mxx the X coordinate scaling element * @param mxy the XY coordinate element * @param mxz the XZ coordinate element * @param tx the X coordinate translation element * @param myx the YX coordinate element * @param myy the Y coordinate scaling element * @param myz the YZ coordinate element * @param ty the Y coordinate translation element * @param mzx the ZX coordinate element * @param mzy the ZY coordinate element * @param mzz the Z coordinate scaling element * @param tz the Z coordinate translation element * @since JavaFX 8.0 */ public Affine(double mxx, double mxy, double mxz, double tx, double myx, double myy, double myz, double ty, double mzx, double mzy, double mzz, double tz) { xx = mxx; xy = mxy; xz = mxz; xt = tx; yx = myx; yy = myy; yz = myz; yt = ty; zx = mzx; zy = mzy; zz = mzz; zt = tz; updateState(); } /** * Creates a new instance of {@code Affine} with a transformation matrix * specified by an array. * @param matrix array containing the flattened transformation matrix * @param type type of matrix contained in the array * @param offset offset of the first element in the array * @throws IndexOutOfBoundsException if the array is too short for * the specified {@code type} and {@code offset} * @throws IllegalArgumentException if the specified matrix is not affine * (the last line of a 2D 3x3 matrix is not {@code [0, 0, 1]} or * the last line of a 3D 4x4 matrix is not {@code [0, 0, 0, 1]}. * @throws NullPointerException if the specified {@code matrix} * or {@code type} is null * @since JavaFX 8.0 */ public Affine(double[] matrix, MatrixType type, int offset) { if (matrix.length < offset + type.elements()) { throw new IndexOutOfBoundsException("The array is too short."); } switch(type) { default: stateError(); // cannot reach case MT_2D_3x3: if (matrix[offset + 6] != 0.0 || matrix[offset + 7] != 0.0 || matrix[offset + 8] != 1.0) { throw new IllegalArgumentException("The matrix is " + "not affine"); } // fall-through case MT_2D_2x3: xx = matrix[offset++]; xy = matrix[offset++]; xt = matrix[offset++]; yx = matrix[offset++]; yy = matrix[offset++]; yt = matrix[offset]; zz = 1.0; updateState2D(); return; case MT_3D_4x4: if (matrix[offset + 12] != 0.0 || matrix[offset + 13] != 0.0 || matrix[offset + 14] != 0.0 || matrix[offset + 15] != 1.0) { throw new IllegalArgumentException("The matrix is " + "not affine"); } // fall-through case MT_3D_3x4: xx = matrix[offset++]; xy = matrix[offset++]; xz = matrix[offset++]; xt = matrix[offset++]; yx = matrix[offset++]; yy = matrix[offset++]; yz = matrix[offset++]; yt = matrix[offset++]; zx = matrix[offset++]; zy = matrix[offset++]; zz = matrix[offset++]; zt = matrix[offset]; updateState(); return; } } /** * Defines the X coordinate scaling element of the 3x4 matrix. */ private AffineElementProperty mxx; public final void setMxx(double value) { if (mxx == null) { if (xx != value) { xx = value; postProcessChange(); } } else { mxxProperty().set(value); } } @Override public final double getMxx() { return mxx == null ? xx : mxx.get(); } public final DoubleProperty mxxProperty() { if (mxx == null) { mxx = new AffineElementProperty(xx) { @Override public Object getBean() { return Affine.this; } @Override public String getName() { return "mxx"; } }; } return mxx; } /** * Defines the XY coordinate element of the 3x4 matrix. */ private AffineElementProperty mxy; public final void setMxy(double value) { if (mxy == null) { if (xy != value) { xy = value; postProcessChange(); } } else { mxyProperty().set(value); } } @Override public final double getMxy() { return mxy == null ? xy : mxy.get(); } public final DoubleProperty mxyProperty() { if (mxy == null) { mxy = new AffineElementProperty(xy) { @Override public Object getBean() { return Affine.this; } @Override public String getName() { return "mxy"; } }; } return mxy; } /** * Defines the XZ coordinate element of the 3x4 matrix. */ private AffineElementProperty mxz; public final void setMxz(double value) { if (mxz == null) { if (xz != value) { xz = value; postProcessChange(); } } else { mxzProperty().set(value); } } @Override public final double getMxz() { return mxz == null ? xz : mxz.get(); } public final DoubleProperty mxzProperty() { if (mxz == null) { mxz = new AffineElementProperty(xz) { @Override public Object getBean() { return Affine.this; } @Override public String getName() { return "mxz"; } }; } return mxz; } /** * Defines the X coordinate translation element of the 3x4 matrix. */ private AffineElementProperty tx; public final void setTx(double value) { if (tx == null) { if (xt != value) { xt = value; postProcessChange(); } } else { txProperty().set(value); } } @Override public final double getTx() { return tx == null ? xt : tx.get(); } public final DoubleProperty txProperty() { if (tx == null) { tx = new AffineElementProperty(xt) { @Override public Object getBean() { return Affine.this; } @Override public String getName() { return "tx"; } }; } return tx; } /** * Defines the YX coordinate element of the 3x4 matrix. */ private AffineElementProperty myx; public final void setMyx(double value) { if (myx == null) { if (yx != value) { yx = value; postProcessChange(); } } else { myxProperty().set(value); } } @Override public final double getMyx() { return myx == null ? yx : myx.get(); } public final DoubleProperty myxProperty() { if (myx == null) { myx = new AffineElementProperty(yx) { @Override public Object getBean() { return Affine.this; } @Override public String getName() { return "myx"; } }; } return myx; } /** * Defines the Y coordinate scaling element of the 3x4 matrix. */ private AffineElementProperty myy; public final void setMyy(double value) { if (myy == null) { if (yy != value) { yy = value; postProcessChange(); } } else{ myyProperty().set(value); } } @Override public final double getMyy() { return myy == null ? yy : myy.get(); } public final DoubleProperty myyProperty() { if (myy == null) { myy = new AffineElementProperty(yy) { @Override public Object getBean() { return Affine.this; } @Override public String getName() { return "myy"; } }; } return myy; } /** * Defines the YZ coordinate element of the 3x4 matrix. */ private AffineElementProperty myz; public final void setMyz(double value) { if (myz == null) { if (yz != value) { yz = value; postProcessChange(); } } else { myzProperty().set(value); } } @Override public final double getMyz() { return myz == null ? yz : myz.get(); } public final DoubleProperty myzProperty() { if (myz == null) { myz = new AffineElementProperty(yz) { @Override public Object getBean() { return Affine.this; } @Override public String getName() { return "myz"; } }; } return myz; } /** * Defines the Y coordinate translation element of the 3x4 matrix. */ private AffineElementProperty ty; public final void setTy(double value) { if (ty == null) { if (yt != value) { yt = value; postProcessChange(); } } else { tyProperty().set(value); } } @Override public final double getTy() { return ty == null ? yt : ty.get(); } public final DoubleProperty tyProperty() { if (ty == null) { ty = new AffineElementProperty(yt) { @Override public Object getBean() { return Affine.this; } @Override public String getName() { return "ty"; } }; } return ty; } /** * Defines the ZX coordinate element of the 3x4 matrix. */ private AffineElementProperty mzx; public final void setMzx(double value) { if (mzx == null) { if (zx != value) { zx = value; postProcessChange(); } } else { mzxProperty().set(value); } } @Override public final double getMzx() { return mzx == null ? zx : mzx.get(); } public final DoubleProperty mzxProperty() { if (mzx == null) { mzx = new AffineElementProperty(zx) { @Override public Object getBean() { return Affine.this; } @Override public String getName() { return "mzx"; } }; } return mzx; } /** * Defines the ZY coordinate element of the 3x4 matrix. */ private AffineElementProperty mzy; public final void setMzy(double value) { if (mzy == null) { if (zy != value) { zy = value; postProcessChange(); } } else { mzyProperty().set(value); } } @Override public final double getMzy() { return mzy == null ? zy : mzy.get(); } public final DoubleProperty mzyProperty() { if (mzy == null) { mzy = new AffineElementProperty(zy) { @Override public Object getBean() { return Affine.this; } @Override public String getName() { return "mzy"; } }; } return mzy; } /** * Defines the Z coordinate scaling element of the 3x4 matrix. */ private AffineElementProperty mzz; public final void setMzz(double value) { if (mzz == null) { if (zz != value) { zz = value; postProcessChange(); } } else { mzzProperty().set(value); } } @Override public final double getMzz() { return mzz == null ? zz : mzz.get(); } public final DoubleProperty mzzProperty() { if (mzz == null) { mzz = new AffineElementProperty(zz) { @Override public Object getBean() { return Affine.this; } @Override public String getName() { return "mzz"; } }; } return mzz; } /** * Defines the Z coordinate translation element of the 3x4 matrix. */ private AffineElementProperty tz; public final void setTz(double value) { if (tz == null) { if (zt != value) { zt = value; postProcessChange(); } } else { tzProperty().set(value); } } @Override public final double getTz() { return tz == null ? zt : tz.get(); } public final DoubleProperty tzProperty() { if (tz == null) { tz = new AffineElementProperty(zt) { @Override public Object getBean() { return Affine.this; } @Override public String getName() { return "tz"; } }; } return tz; } /** * Sets the specified element of the transformation matrix. * @param type type of matrix to work with * @param row zero-based row number * @param column zero-based column number * @param value new value of the specified transformation matrix element * @throws IndexOutOfBoundsException if the indices are not within * the specified matrix type * @throws IllegalArgumentException if setting the value would break * transform's affinity (for convenience the method allows to set * the elements of the last line of a 2D 3x3 matrix to * {@code [0, 0, 1]} and the elements of the last line * of a 3D 4x4 matrix to {@code [0, 0, 0, 1]}). * @throws NullPointerException if the specified {@code type} is null * @since JavaFX 8.0 */ public void setElement(MatrixType type, int row, int column, double value) { if (row < 0 || row >= type.rows() || column < 0 || column >= type.columns()) { throw new IndexOutOfBoundsException("Index outside of affine " + "matrix " + type + ": [" + row + ", " + column + "]"); } switch(type) { default: stateError(); // cannot reach case MT_2D_2x3: // fall-through case MT_2D_3x3: if (!isType2D()) { throw new IllegalArgumentException("Cannot access 2D matrix " + "of a 3D transform"); } switch(row) { case 0: switch(column) { case 0: setMxx(value); return; case 1: setMxy(value); return; case 2: setTx(value); return; } case 1: switch(column) { case 0: setMyx(value); return; case 1: setMyy(value); return; case 2: setTy(value); return; } case 2: switch(column) { case 0: if (value == 0.0) return; else break; case 1: if (value == 0.0) return; else break; case 2: if (value == 1.0) return; else break; } } break; case MT_3D_3x4: // fall-through case MT_3D_4x4: switch(row) { case 0: switch(column) { case 0: setMxx(value); return; case 1: setMxy(value); return; case 2: setMxz(value); return; case 3: setTx(value); return; } case 1: switch(column) { case 0: setMyx(value); return; case 1: setMyy(value); return; case 2: setMyz(value); return; case 3: setTy(value); return; } case 2: switch(column) { case 0: setMzx(value); return; case 1: setMzy(value); return; case 2: setMzz(value); return; case 3: setTz(value); return; } case 3: switch(column) { case 0: if (value == 0.0) return; else break; case 1: if (value == 0.0) return; else break; case 2: if (value == 0.0) return; else break; case 3: if (value == 1.0) return; else break; } } break; } // reaches here when last line is set to something else than 0 .. 0 1 throw new IllegalArgumentException("Cannot set affine matrix " + type + " element " + "[" + row + ", " + column + "] to " + value); } /** * Affine element property which handles the atomic changes of more * properties. */ private class AffineElementProperty extends SimpleDoubleProperty { private boolean needsValueChangedEvent = false; private double oldValue; public AffineElementProperty(double initialValue) { super(initialValue); } @Override public void invalidated() { // if an atomic change runs, postpone the change notifications if (!atomicChange.runs()) { updateState(); transformChanged(); } } @Override protected void fireValueChangedEvent() { // if an atomic change runs, postpone the change notifications if (!atomicChange.runs()) { super.fireValueChangedEvent(); } else { needsValueChangedEvent = true; } } /** * Called before an atomic change */ private void preProcessAtomicChange() { // remember the value before an atomic change oldValue = get(); } /** * Called after an atomic change */ private void postProcessAtomicChange() { // if there was a change notification during the atomic change, // fire it now if (needsValueChangedEvent) { needsValueChangedEvent = false; // the value might have change back an forth // (happens quite commonly for transforms with pivot) if (oldValue != get()) { super.fireValueChangedEvent(); } } } } /** * Called by each element property after value change to * update the state variables and call transform change notifications. * If an atomic change runs, this is a NOP and the work is done * in the end of the entire atomic change. */ private void postProcessChange() { if (!atomicChange.runs()) { updateState(); transformChanged(); } } /* ************************************************************************* * * * State getters * * * **************************************************************************/ @Override boolean computeIs2D() { return (state3d == APPLY_NON_3D); } @Override boolean computeIsIdentity() { return state3d == APPLY_NON_3D && state2d == APPLY_IDENTITY; } @Override public double determinant() { if (state3d == APPLY_NON_3D) { return getDeterminant2D(); } else { return getDeterminant3D(); } } /** * 2D implementation of {@code determinant()}. * The behavior is undefined if this is a 3D transform. * @return determinant */ private double getDeterminant2D() { // assert(state3d == APPLY_NON_3D) switch (state2d) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SHEAR | APPLY_SCALE: return getMxx() * getMyy() - getMxy() * getMyx(); case APPLY_SHEAR | APPLY_TRANSLATE: case APPLY_SHEAR: return -(getMxy() * getMyx()); case APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SCALE: return getMxx() * getMyy(); case APPLY_TRANSLATE: case APPLY_IDENTITY: return 1.0; } } /** * 3D implementation of {@code determinant()}. * The behavior is undefined if this is a 2D transform. * @return determinant */ private double getDeterminant3D() { // assert(state3d != APPLY_NON_3D) switch(state3d) { default: stateError(); // cannot reach case APPLY_TRANSLATE: return 1.0; case APPLY_SCALE: case APPLY_SCALE | APPLY_TRANSLATE: return getMxx() * getMyy() * getMzz(); case APPLY_3D_COMPLEX: final double myx = getMyx(); final double myy = getMyy(); final double myz = getMyz(); final double mzx = getMzx(); final double mzy = getMzy(); final double mzz = getMzz(); return (getMxx() * (myy * mzz - mzy * myz) + getMxy() * (myz * mzx - mzz * myx) + getMxz() * (myx * mzy - mzx * myy)); } } /* ************************************************************************* * * * Transform creators * * * **************************************************************************/ @Override public Transform createConcatenation(Transform transform) { Affine a = clone(); a.append(transform); return a; } @Override public Affine createInverse() throws NonInvertibleTransformException { Affine t = clone(); t.invert(); return t; } @Override public Affine clone() { return new Affine(this); } /* ************************************************************************* * * * Matrix setters * * * **************************************************************************/ /** * Sets the values of this instance to the values provided by the specified * transform. * @param transform transform whose matrix is to be filled to this instance * @throws NullPointerException if the specified {@code transform} is null * @since JavaFX 8.0 */ public void setToTransform(Transform transform) { setToTransform( transform.getMxx(), transform.getMxy(), transform.getMxz(), transform.getTx(), transform.getMyx(), transform.getMyy(), transform.getMyz(), transform.getTy(), transform.getMzx(), transform.getMzy(), transform.getMzz(), transform.getTz()); } /** * Sets the values of this instance to the 2D transform specified * by the element values. * @param mxx the X coordinate scaling element * @param mxy the XY coordinate element * @param tx the X coordinate translation element * @param myx the YX coordinate element * @param myy the Y coordinate scaling element * @param ty the Y coordinate translation element * @since JavaFX 8.0 */ public void setToTransform(double mxx, double mxy, double tx, double myx, double myy, double ty) { setToTransform(mxx, mxy, 0.0, tx, myx, myy, 0.0, ty, 0.0, 0.0, 1.0, 0.0); } /** * Sets the values of this instance to the transform specified * by the element values. * @param mxx the X coordinate scaling element * @param mxy the XY coordinate element * @param mxz the XZ coordinate element * @param tx the X coordinate translation element * @param myx the YX coordinate element * @param myy the Y coordinate scaling element * @param myz the YZ coordinate element * @param ty the Y coordinate translation element * @param mzx the ZX coordinate element * @param mzy the ZY coordinate element * @param mzz the Z coordinate scaling element * @param tz the Z coordinate translation element * @since JavaFX 8.0 */ public void setToTransform(double mxx, double mxy, double mxz, double tx, double myx, double myy, double myz, double ty, double mzx, double mzy, double mzz, double tz) { atomicChange.start(); setMxx(mxx); setMxy(mxy); setMxz(mxz); setTx(tx); setMyx(myx); setMyy(myy); setMyz(myz); setTy(ty); setMzx(mzx); setMzy(mzy); setMzz(mzz); setTz(tz); updateState(); atomicChange.end(); } /** * Sets the values of this instance to the transformation matrix * specified by an array. * @param matrix array containing the flattened transformation matrix * @param type type of matrix contained in the array * @param offset offset of the first element in the array * @throws IndexOutOfBoundsException if the array is too short for * the specified {@code type} and {@code offset} * @throws IllegalArgumentException if the specified matrix is not affine * (the last line of a 2D 3x3 matrix is not {@code [0, 0, 1]} or * the last line of a 3D 4x4 matrix is not {@code [0, 0, 0, 1]}. * @throws NullPointerException if the specified {@code matrix} * or {@code type} is null * @since JavaFX 8.0 */ public void setToTransform(double[] matrix, MatrixType type, int offset) { if (matrix.length < offset + type.elements()) { throw new IndexOutOfBoundsException("The array is too short."); } switch(type) { default: stateError(); // cannot reach case MT_2D_3x3: if (matrix[offset + 6] != 0.0 || matrix[offset + 7] != 0.0 || matrix[offset + 8] != 1.0) { throw new IllegalArgumentException("The matrix is " + "not affine"); } // fall-through case MT_2D_2x3: setToTransform(matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++]); return; case MT_3D_4x4: if (matrix[offset + 12] != 0.0 || matrix[offset + 13] != 0.0 || matrix[offset + 14] != 0.0 || matrix[offset + 15] != 1.0) { throw new IllegalArgumentException("The matrix is " + "not affine"); } // fall-through case MT_3D_3x4: setToTransform(matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++]); return; } } /** * Resets this transform to the identity transform. * @since JavaFX 8.0 */ public void setToIdentity() { atomicChange.start(); if (state3d != APPLY_NON_3D) { setMxx(1.0); setMxy(0.0); setMxz(0.0); setTx(0.0); setMyx(0.0); setMyy(1.0); setMyz(0.0); setTy(0.0); setMzx(0.0); setMzy(0.0); setMzz(1.0); setTz(0.0); state3d = APPLY_NON_3D; state2d = APPLY_IDENTITY; } else if (state2d != APPLY_IDENTITY) { setMxx(1.0); setMxy(0.0); setTx(0.0); setMyx(0.0); setMyy(1.0); setTy(0.0); state2d = APPLY_IDENTITY; } atomicChange.end(); } /* ************************************************************************* * * * Matrix operations * * * **************************************************************************/ /* ************************************************* * Inversion * **************************************************/ /** * Inverts this transform in place. * @throws NonInvertibleTransformException if this transform * cannot be inverted * @since JavaFX 8.0 */ public void invert() throws NonInvertibleTransformException { atomicChange.start(); if (state3d == APPLY_NON_3D) { invert2D(); updateState2D(); } else { invert3D(); updateState(); } atomicChange.end(); } /** * 2D implementation of {@code invert()}. * The behavior is undefined for a 3D transform. */ private void invert2D() throws NonInvertibleTransformException { double Mxx, Mxy, Mxt; double Myx, Myy, Myt; double det; // assert(state3d == APPLY_NON_3D) switch (state2d) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: Mxx = getMxx(); Mxy = getMxy(); Mxt = getTx(); Myx = getMyx(); Myy = getMyy(); Myt = getTy(); det = getDeterminant2D(); if (det == 0.0) { atomicChange.cancel(); throw new NonInvertibleTransformException("Determinant is 0"); } setMxx(Myy / det); setMyx(-Myx / det); setMxy(-Mxy / det); setMyy(Mxx / det); setTx((Mxy * Myt - Myy * Mxt) / det); setTy((Myx * Mxt - Mxx * Myt) / det); return; case APPLY_SHEAR | APPLY_SCALE: Mxx = getMxx(); Mxy = getMxy(); Myx = getMyx(); Myy = getMyy(); det = getDeterminant2D(); if (det == 0.0) { atomicChange.cancel(); throw new NonInvertibleTransformException("Determinant is 0"); } setMxx(Myy / det); setMyx(-Myx / det); setMxy(-Mxy / det); setMyy(Mxx / det); return; case APPLY_SHEAR | APPLY_TRANSLATE: Mxy = getMxy(); Mxt = getTx(); Myx = getMyx(); Myt = getTy(); if (Mxy == 0.0 || Myx == 0.0) { atomicChange.cancel(); throw new NonInvertibleTransformException("Determinant is 0"); } setMyx(1.0 / Mxy); setMxy(1.0 / Myx); setTx(-Myt / Myx); setTy(-Mxt / Mxy); return; case APPLY_SHEAR: Mxy = getMxy(); Myx = getMyx(); if (Mxy == 0.0 || Myx == 0.0) { atomicChange.cancel(); throw new NonInvertibleTransformException("Determinant is 0"); } setMyx(1.0 / Mxy); setMxy(1.0 / Myx); return; case APPLY_SCALE | APPLY_TRANSLATE: Mxx = getMxx(); Mxt = getTx(); Myy = getMyy(); Myt = getTy(); if (Mxx == 0.0 || Myy == 0.0) { atomicChange.cancel(); throw new NonInvertibleTransformException("Determinant is 0"); } setMxx(1.0 / Mxx); setMyy(1.0 / Myy); setTx(-Mxt / Mxx); setTy(-Myt / Myy); return; case APPLY_SCALE: Mxx = getMxx(); Myy = getMyy(); if (Mxx == 0.0 || Myy == 0.0) { atomicChange.cancel(); throw new NonInvertibleTransformException("Determinant is 0"); } setMxx(1.0 / Mxx); setMyy(1.0 / Myy); return; case APPLY_TRANSLATE: setTx(-getTx()); setTy(-getTy()); return; case APPLY_IDENTITY: return; } } /** * 3D implementation of {@code invert()}. * The behavior is undefined if this is a 2D transform. */ private void invert3D() throws NonInvertibleTransformException { switch(state3d) { default: stateError(); // cannot reach case APPLY_TRANSLATE: setTx(-getTx()); setTy(-getTy()); setTz(-getTz()); return; case APPLY_SCALE: final double mxx_s = getMxx(); final double myy_s = getMyy(); final double mzz_s = getMzz(); if (mxx_s == 0.0 || myy_s == 0.0 || mzz_s == 0.0) { atomicChange.cancel(); throw new NonInvertibleTransformException("Determinant is 0"); } setMxx(1.0 / mxx_s); setMyy(1.0 / myy_s); setMzz(1.0 / mzz_s); return; case APPLY_SCALE | APPLY_TRANSLATE: final double mxx_st = getMxx(); final double tx_st = getTx(); final double myy_st = getMyy(); final double ty_st = getTy(); final double mzz_st = getMzz(); final double tz_st = getTz(); if (mxx_st == 0.0 || myy_st == 0.0 || mzz_st == 0.0) { atomicChange.cancel(); throw new NonInvertibleTransformException("Determinant is 0"); } setMxx(1.0 / mxx_st); setMyy(1.0 / myy_st); setMzz(1.0 / mzz_st); setTx(-tx_st / mxx_st); setTy(-ty_st / myy_st); setTz(-tz_st / mzz_st); return; case APPLY_3D_COMPLEX: // InvM = Transpose(Cofactor(M)) / det(M) // Cofactor(M) = matrix of cofactors(0..3,0..3) // cofactor(r,c) = (-1 if r+c is odd) * minor(r,c) // minor(r,c) = det(M with row r and col c removed) // For an Affine3D matrix, minor(r, 3) is {0, 0, 0, det} // which generates {0, 0, 0, 1} and so can be ignored. final double mxx = getMxx(); final double mxy = getMxy(); final double mxz = getMxz(); final double tx = getTx(); final double myx = getMyx(); final double myy = getMyy(); final double myz = getMyz(); final double ty = getTy(); final double mzy = getMzy(); final double mzx = getMzx(); final double mzz = getMzz(); final double tz = getTz(); final double det = mxx * (myy * mzz - mzy * myz) + mxy * (myz * mzx - mzz * myx) + mxz * (myx * mzy - mzx * myy); if (det == 0.0) { atomicChange.cancel(); throw new NonInvertibleTransformException("Determinant is 0"); } final double cxx = myy * mzz - myz * mzy; final double cyx = - myx * mzz + myz * mzx; final double czx = myx * mzy - myy * mzx; final double cxt = - mxy * (myz * tz - mzz * ty) - mxz * (ty * mzy - tz * myy) - tx * (myy * mzz - mzy * myz); final double cxy = - mxy * mzz + mxz * mzy; final double cyy = mxx * mzz - mxz * mzx; final double czy = - mxx * mzy + mxy * mzx; final double cyt = mxx * (myz * tz - mzz * ty) + mxz * (ty * mzx - tz * myx) + tx * (myx * mzz - mzx * myz); final double cxz = mxy * myz - mxz * myy; final double cyz = - mxx * myz + mxz * myx; final double czz = mxx * myy - mxy * myx; final double czt = - mxx * (myy * tz - mzy * ty) - mxy * (ty * mzx - tz * myx) - tx * (myx * mzy - mzx * myy); setMxx(cxx / det); setMxy(cxy / det); setMxz(cxz / det); setTx(cxt / det); setMyx(cyx / det); setMyy(cyy / det); setMyz(cyz / det); setTy(cyt / det); setMzx(czx / det); setMzy(czy / det); setMzz(czz / det); setTz(czt / det); return; } } /* ************************************************* * General concatenations * **************************************************/ /** *

* Appends the specified transform to this instance. * The operation modifies this transform in a way that applying it to a node * has the same effect as adding the two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * {@code transform} second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified transform. *

* * @param transform transform to be appended to this instance * @throws NullPointerException if the specified {@code transform} is null * @since JavaFX 8.0 */ public void append(Transform transform) { transform.appendTo(this); } /** *

* Appends the 2D transform specified by the element values to this instance. * The operation modifies this transform in a way that applying it to a node * has the same effect as adding the two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * {@code transform} second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified transform. *

* @param mxx the X coordinate scaling element of the transform to be * appended * @param mxy the XY coordinate element of the transform to be appended * @param tx the X coordinate translation element of the transform to be * appended * @param myx the YX coordinate element of the transform to be appended * @param myy the Y coordinate scaling element of the transform to be * appended * @param ty the Y coordinate translation element of the transform to be * appended * @since JavaFX 8.0 */ public void append(double mxx, double mxy, double tx, double myx, double myy, double ty) { if (state3d == APPLY_NON_3D) { atomicChange.start(); final double m_xx = getMxx(); final double m_xy = getMxy(); final double m_yx = getMyx(); final double m_yy = getMyy(); setMxx(m_xx * mxx + m_xy * myx); setMxy(m_xx * mxy + m_xy * myy); setTx(m_xx * tx + m_xy * ty + getTx()); setMyx(m_yx * mxx + m_yy * myx); setMyy(m_yx * mxy + m_yy * myy); setTy(m_yx * tx + m_yy * ty + getTy()); updateState(); atomicChange.end(); } else { append(mxx, mxy, 0.0, tx, myx, myy, 0.0, ty, 0.0, 0.0, 1.0, 0.0); } } /** *

* Appends the transform specified by the element values to this instance. * The operation modifies this transform in a way that applying it to a node * has the same effect as adding the two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * {@code transform} second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified transform. *

* * @param mxx the X coordinate scaling element of the transform to be * appended * @param mxy the XY coordinate element of the transform to be appended * @param mxz the XZ coordinate element of the transform to be appended * @param tx the X coordinate translation element of the transform to be * appended * @param myx the YX coordinate element of the transform to be appended * @param myy the Y coordinate scaling element of the transform to be * appended * @param myz the YZ coordinate element of the transform to be appended * @param ty the Y coordinate translation element of the transform to be * appended * @param mzx the ZX coordinate element of the transform to be appended * @param mzy the ZY coordinate element of the transform to be appended * @param mzz the Z coordinate scaling element of the transform to be * appended * @param tz the Z coordinate translation element of the transform to be * appended * @since JavaFX 8.0 */ public void append(double mxx, double mxy, double mxz, double tx, double myx, double myy, double myz, double ty, double mzx, double mzy, double mzz, double tz) { atomicChange.start(); final double m_xx = getMxx(); final double m_xy = getMxy(); final double m_xz = getMxz(); final double t_x = getTx(); final double m_yx = getMyx(); final double m_yy = getMyy(); final double m_yz = getMyz(); final double t_y = getTy(); final double m_zx = getMzx(); final double m_zy = getMzy(); final double m_zz = getMzz(); final double t_z = getTz(); setMxx(m_xx * mxx + m_xy * myx + m_xz * mzx); setMxy(m_xx * mxy + m_xy * myy + m_xz * mzy); setMxz(m_xx * mxz + m_xy * myz + m_xz * mzz); setTx( m_xx * tx + m_xy * ty + m_xz * tz + t_x); setMyx(m_yx * mxx + m_yy * myx + m_yz * mzx); setMyy(m_yx * mxy + m_yy * myy + m_yz * mzy); setMyz(m_yx * mxz + m_yy * myz + m_yz * mzz); setTy( m_yx * tx + m_yy * ty + m_yz * tz + t_y); setMzx(m_zx * mxx + m_zy * myx + m_zz * mzx); setMzy(m_zx * mxy + m_zy * myy + m_zz * mzy); setMzz(m_zx * mxz + m_zy * myz + m_zz * mzz); setTz( m_zx * tx + m_zy * ty + m_zz * tz + t_z); updateState(); atomicChange.end(); } /** *

* Appends the transform specified by the array to this instance. * The operation modifies this transform in a way that applying it to a node * has the same effect as adding the two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * {@code transform} second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified transform. *

* * @param matrix array containing the flattened transformation matrix * to be appended * @param type type of matrix contained in the array * @param offset offset of the first matrix element in the array * @throws IndexOutOfBoundsException if the array is too short for * the specified {@code type} and {@code offset} * @throws IllegalArgumentException if the specified matrix is not affine * (the last line of a 2D 3x3 matrix is not {@code [0, 0, 1]} or * the last line of a 3D 4x4 matrix is not {@code [0, 0, 0, 1]}. * @throws NullPointerException if the specified {@code matrix} * or {@code type} is null * @since JavaFX 8.0 */ public void append(double[] matrix, MatrixType type, int offset) { if (matrix.length < offset + type.elements()) { throw new IndexOutOfBoundsException("The array is too short."); } switch(type) { default: stateError(); // cannot reach case MT_2D_3x3: if (matrix[offset + 6] != 0.0 || matrix[offset + 7] != 0.0 || matrix[offset + 8] != 1.0) { throw new IllegalArgumentException("The matrix is " + "not affine"); } // fall-through case MT_2D_2x3: append(matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++]); return; case MT_3D_4x4: if (matrix[offset + 12] != 0.0 || matrix[offset + 13] != 0.0 || matrix[offset + 14] != 0.0 || matrix[offset + 15] != 1.0) { throw new IllegalArgumentException("The matrix is " + "not affine"); } // fall-through case MT_3D_3x4: append(matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++]); return; } } @Override void appendTo(Affine a) { switch(state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: switch(state2d) { case APPLY_IDENTITY: return; case APPLY_TRANSLATE: a.appendTranslation(getTx(), getTy()); return; case APPLY_SCALE: a.appendScale(getMxx(), getMyy()); return; case APPLY_SCALE | APPLY_TRANSLATE: a.appendTranslation(getTx(), getTy()); a.appendScale(getMxx(), getMyy()); return; default: a.append(getMxx(), getMxy(), getTx(), getMyx(), getMyy(), getTy()); return; } case APPLY_TRANSLATE: a.appendTranslation(getTx(), getTy(), getTz()); return; case APPLY_SCALE: a.appendScale(getMxx(), getMyy(), getMzz()); return; case APPLY_SCALE | APPLY_TRANSLATE: a.appendTranslation(getTx(), getTy(), getTz()); a.appendScale(getMxx(), getMyy(), getMzz()); return; case APPLY_3D_COMPLEX: a.append(getMxx(), getMxy(), getMxz(), getTx(), getMyx(), getMyy(), getMyz(), getTy(), getMzx(), getMzy(), getMzz(), getTz()); return; } } /** *

* Prepends the specified transform to this instance. * The operation modifies this transform in a way that applying it to a node * has the same effect as adding the two transforms to its * {@code getTransforms()} list, the specified {@code transform} first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified transform. *

* * @param transform transform to be prepended to this instance * @throws NullPointerException if the specified {@code transform} is null * @since JavaFX 8.0 */ public void prepend(Transform transform) { transform.prependTo(this); } /** *

* Prepends the 2D transform specified by the element values to this instance. * The operation modifies this transform in a way that applying it to a node * has the same effect as adding the two transforms to its * {@code getTransforms()} list, the specified {@code transform} first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified transform. *

* * @param mxx the X coordinate scaling element of the transform to be * prepended * @param mxy the XY coordinate element of the transform to be prepended * @param tx the X coordinate translation element of the transform to be * prepended * @param myx the YX coordinate element of the transform to be prepended * @param myy the Y coordinate scaling element of the transform to be * prepended * @param ty the Y coordinate translation element of the transform to be * prepended * @since JavaFX 8.0 */ public void prepend(double mxx, double mxy, double tx, double myx, double myy, double ty) { if (state3d == APPLY_NON_3D) { atomicChange.start(); final double m_xx = getMxx(); final double m_xy = getMxy(); final double t_x = getTx(); final double m_yx = getMyx(); final double m_yy = getMyy(); final double t_y = getTy(); setMxx(mxx * m_xx + mxy * m_yx); setMxy(mxx * m_xy + mxy * m_yy); setTx(mxx * t_x + mxy * t_y + tx); setMyx(myx * m_xx + myy * m_yx); setMyy(myx * m_xy + myy * m_yy); setTy(myx * t_x + myy * t_y + ty); updateState2D(); atomicChange.end(); } else { prepend(mxx, mxy, 0.0, tx, myx, myy, 0.0, ty, 0.0, 0.0, 1.0, 0.0); } } /** *

* Prepends the transform specified by the element values to this instance. * The operation modifies this transform in a way that applying it to a node * has the same effect as adding the two transforms to its * {@code getTransforms()} list, the specified {@code transform} first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified transform. *

* * @param mxx the X coordinate scaling element of the transform to be * prepended * @param mxy the XY coordinate element of the transform to be prepended * @param mxz the XZ coordinate element of the transform to be prepended * @param tx the X coordinate translation element of the transform to be * prepended * @param myx the YX coordinate element of the transform to be prepended * @param myy the Y coordinate scaling element of the transform to be * prepended * @param myz the YZ coordinate element of the transform to be prepended * @param ty the Y coordinate translation element of the transform to be * prepended * @param mzx the ZX coordinate element of the transform to be prepended * @param mzy the ZY coordinate element of the transform to be prepended * @param mzz the Z coordinate scaling element of the transform to be * prepended * @param tz the Z coordinate translation element of the transform to be * prepended * @since JavaFX 8.0 */ public void prepend(double mxx, double mxy, double mxz, double tx, double myx, double myy, double myz, double ty, double mzx, double mzy, double mzz, double tz) { atomicChange.start(); final double m_xx = getMxx(); final double m_xy = getMxy(); final double m_xz = getMxz(); final double t_x = getTx(); final double m_yx = getMyx(); final double m_yy = getMyy(); final double m_yz = getMyz(); final double t_y = getTy(); final double m_zx = getMzx(); final double m_zy = getMzy(); final double m_zz = getMzz(); final double t_z = getTz(); setMxx(mxx * m_xx + mxy * m_yx + mxz * m_zx); setMxy(mxx * m_xy + mxy * m_yy + mxz * m_zy); setMxz(mxx * m_xz + mxy * m_yz + mxz * m_zz); setTx( mxx * t_x + mxy * t_y + mxz * t_z + tx); setMyx(myx * m_xx + myy * m_yx + myz * m_zx); setMyy(myx * m_xy + myy * m_yy + myz * m_zy); setMyz(myx * m_xz + myy * m_yz + myz * m_zz); setTy( myx * t_x + myy * t_y + myz * t_z + ty); setMzx(mzx * m_xx + mzy * m_yx + mzz * m_zx); setMzy(mzx * m_xy + mzy * m_yy + mzz * m_zy); setMzz(mzx * m_xz + mzy * m_yz + mzz * m_zz); setTz( mzx * t_x + mzy * t_y + mzz * t_z + tz); updateState(); atomicChange.end(); } /** *

* Prepends the transform specified by the array to this instance. * The operation modifies this transform in a way that applying it to a node * has the same effect as adding the two transforms to its * {@code getTransforms()} list, the specified {@code transform} first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified transform. *

* * @param matrix array containing the flattened transformation matrix * to be prepended * @param type type of matrix contained in the array * @param offset offset of the first matrix element in the array * @throws IndexOutOfBoundsException if the array is too short for * the specified {@code type} and {@code offset} * @throws IllegalArgumentException if the specified matrix is not affine * (the last line of a 2D 3x3 matrix is not {@code [0, 0, 1]} or * the last line of a 3D 4x4 matrix is not {@code [0, 0, 0, 1]}. * @throws NullPointerException if the specified {@code matrix} * or {@code type} is null * @since JavaFX 8.0 */ public void prepend(double[] matrix, MatrixType type, int offset) { if (matrix.length < offset + type.elements()) { throw new IndexOutOfBoundsException("The array is too short."); } switch(type) { default: stateError(); // cannot reach case MT_2D_3x3: if (matrix[offset + 6] != 0.0 || matrix[offset + 7] != 0.0 || matrix[offset + 8] != 1.0) { throw new IllegalArgumentException("The matrix is " + "not affine"); } // fall-through case MT_2D_2x3: prepend(matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++]); return; case MT_3D_4x4: if (matrix[offset + 12] != 0.0 || matrix[offset + 13] != 0.0 || matrix[offset + 14] != 0.0 || matrix[offset + 15] != 1.0) { throw new IllegalArgumentException("The matrix is " + "not affine"); } // fall-through case MT_3D_3x4: prepend(matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++], matrix[offset++]); return; } } @Override void prependTo(Affine a) { switch(state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: switch(state2d) { case APPLY_IDENTITY: return; case APPLY_TRANSLATE: a.prependTranslation(getTx(), getTy()); return; case APPLY_SCALE: a.prependScale(getMxx(), getMyy()); return; case APPLY_SCALE | APPLY_TRANSLATE: a.prependScale(getMxx(), getMyy()); a.prependTranslation(getTx(), getTy()); return; default: a.prepend(getMxx(), getMxy(), getTx(), getMyx(), getMyy(), getTy()); return; } case APPLY_TRANSLATE: a.prependTranslation(getTx(), getTy(), getTz()); return; case APPLY_SCALE: a.prependScale(getMxx(), getMyy(), getMzz()); return; case APPLY_SCALE | APPLY_TRANSLATE: a.prependScale(getMxx(), getMyy(), getMzz()); a.prependTranslation(getTx(), getTy(), getTz()); return; case APPLY_3D_COMPLEX: a.prepend(getMxx(), getMxy(), getMxz(), getTx(), getMyx(), getMyy(), getMyz(), getTy(), getMzx(), getMzy(), getMzz(), getTz()); return; } } /* ************************************************* * Translate * **************************************************/ /** *

* Appends the 2D translation to this instance. * It is equivalent to {@code append(new Translate(tx, ty))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * translation second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified translation. *

* @param tx the X coordinate translation * @param ty the Y coordinate translation * @since JavaFX 8.0 */ public void appendTranslation(double tx, double ty) { atomicChange.start(); translate2D(tx, ty); atomicChange.end(); } /** *

* Appends the translation to this instance. * It is equivalent to {@code append(new Translate(tx, ty, tz))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * translation second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified translation. *

* @param tx the X coordinate translation * @param ty the Y coordinate translation * @param tz the Z coordinate translation * @since JavaFX 8.0 */ public void appendTranslation(double tx, double ty, double tz) { atomicChange.start(); translate3D(tx, ty, tz); atomicChange.end(); } /** * 2D implementation of {@code appendTranslation()}. * If this is a 3D transform, the call is redirected to {@code transalte3D()}. */ private void translate2D(double tx, double ty) { if (state3d != APPLY_NON_3D) { translate3D(tx, ty, 0.0); return; } switch (state2d) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: setTx(tx * getMxx() + ty * getMxy() + getTx()); setTy(tx * getMyx() + ty * getMyy() + getTy()); if (getTx() == 0.0 && getTy() == 0.0) { state2d = APPLY_SHEAR | APPLY_SCALE; } return; case APPLY_SHEAR | APPLY_SCALE: setTx(tx * getMxx() + ty * getMxy()); setTy(tx * getMyx() + ty * getMyy()); if (getTx() != 0.0 || getTy() != 0.0) { state2d = APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE; } return; case APPLY_SHEAR | APPLY_TRANSLATE: setTx(ty * getMxy() + getTx()); setTy(tx * getMyx() + getTy()); if (getTx() == 0.0 && getTy() == 0.0) { state2d = APPLY_SHEAR; } return; case APPLY_SHEAR: setTx(ty * getMxy()); setTy(tx * getMyx()); if (getTx() != 0.0 || getTy() != 0.0) { state2d = APPLY_SHEAR | APPLY_TRANSLATE; } return; case APPLY_SCALE | APPLY_TRANSLATE: setTx(tx * getMxx() + getTx()); setTy(ty * getMyy() + getTy()); if (getTx() == 0.0 && getTy() == 0.0) { state2d = APPLY_SCALE; } return; case APPLY_SCALE: setTx(tx * getMxx()); setTy(ty * getMyy()); if (getTx() != 0.0 || getTy() != 0.0) { state2d = APPLY_SCALE | APPLY_TRANSLATE; } return; case APPLY_TRANSLATE: setTx(tx + getTx()); setTy(ty + getTy()); if (getTx() == 0.0 && getTy() == 0.0) { state2d = APPLY_IDENTITY; } return; case APPLY_IDENTITY: setTx(tx); setTy(ty); if (tx != 0.0 || ty != 0.0) { state2d = APPLY_TRANSLATE; } return; } } /** * 3D implementation of {@code appendTranslation()}. * Works fine if this is a 2D transform. */ private void translate3D(double tx, double ty, double tz) { switch(state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: translate2D(tx, ty); if (tz != 0.0) { setTz(tz); if ((state2d & APPLY_SHEAR) == 0) { state3d = (state2d & APPLY_SCALE) | APPLY_TRANSLATE; } else { state3d = APPLY_3D_COMPLEX; } } return; case APPLY_TRANSLATE: setTx(tx + getTx()); setTy(ty + getTy()); setTz(tz + getTz()); if (getTz() == 0.0) { state3d = APPLY_NON_3D; if (getTx() == 0.0 && getTy() == 0.0) { state2d = APPLY_IDENTITY; } else { state2d = APPLY_TRANSLATE; } } return; case APPLY_SCALE: setTx(tx * getMxx()); setTy(ty * getMyy()); setTz(tz * getMzz()); if (getTx() != 0.0 || getTy() != 0.0 || getTz() != 0.0) { state3d |= APPLY_TRANSLATE; } return; case APPLY_SCALE | APPLY_TRANSLATE: setTx(tx * getMxx() + getTx()); setTy(ty * getMyy() + getTy()); setTz(tz * getMzz() + getTz()); if (getTz() == 0.0) { if (getTx() == 0.0 && getTy() == 0.0) { state3d = APPLY_SCALE; } if (getMzz() == 1.0) { state2d = state3d; state3d = APPLY_NON_3D; } } return; case APPLY_3D_COMPLEX: setTx(tx * getMxx() + ty * getMxy() + tz * getMxz() + getTx()); setTy(tx * getMyx() + ty * getMyy() + tz * getMyz() + getTy()); setTz(tx * getMzx() + ty * getMzy() + tz * getMzz() + getTz()); updateState(); return; } } /** *

* Prepends the translation to this instance. * It is equivalent to {@code prepend(new Translate(tx, ty, tz))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified translation first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified translation. *

* @param tx the X coordinate translation * @param ty the Y coordinate translation * @param tz the Z coordinate translation * @since JavaFX 8.0 */ public void prependTranslation(double tx, double ty, double tz) { atomicChange.start(); preTranslate3D(tx, ty, tz); atomicChange.end(); } /** *

* Prepends the 2D translation to this instance. * It is equivalent to {@code prepend(new Translate(tx, ty))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified translation first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified translation. *

* @param tx the X coordinate translation * @param ty the Y coordinate translation * @since JavaFX 8.0 */ public void prependTranslation(double tx, double ty) { atomicChange.start(); preTranslate2D(tx, ty); atomicChange.end(); } /** * 2D implementation of {@code prependTranslation()}. * If this is a 3D transform, the call is redirected to * {@code preTransalte3D}. * @since JavaFX 8.0 */ private void preTranslate2D(double tx, double ty) { if (state3d != APPLY_NON_3D) { preTranslate3D(tx, ty, 0.0); return; } setTx(getTx() + tx); setTy(getTy() + ty); if (getTx() == 0.0 && getTy() == 0.0) { state2d &= ~APPLY_TRANSLATE; } else { state2d |= APPLY_TRANSLATE; } } /** * 3D implementation of {@code prependTranslation()}. * Works fine if this is a 2D transform. */ private void preTranslate3D(double tx, double ty, double tz) { switch(state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: preTranslate2D(tx, ty); if (tz != 0.0) { setTz(tz); if ((state2d & APPLY_SHEAR) == 0) { state3d = (state2d & APPLY_SCALE) | APPLY_TRANSLATE; } else { state3d = APPLY_3D_COMPLEX; } } return; case APPLY_TRANSLATE: setTx(getTx() + tx); setTy(getTy() + ty); setTz(getTz() + tz); if (getTz() == 0.0) { state3d = APPLY_NON_3D; if (getTx() == 0.0 && getTy() == 0.0) { state2d = APPLY_IDENTITY; } else { state2d = APPLY_TRANSLATE; } } return; case APPLY_SCALE: setTx(tx); setTy(ty); setTz(tz); if (tx != 0.0 || ty != 0.0 || tz != 0.0) { state3d |= APPLY_TRANSLATE; } return; case APPLY_SCALE | APPLY_TRANSLATE: setTx(getTx() + tx); setTy(getTy() + ty); setTz(getTz() + tz); if (getTz() == 0.0) { if (getTx() == 0.0 && getTy() == 0.0) { state3d = APPLY_SCALE; } if (getMzz() == 1.0) { state2d = state3d; state3d = APPLY_NON_3D; } } return; case APPLY_3D_COMPLEX: setTx(getTx() + tx); setTy(getTy() + ty); setTz(getTz() + tz); if (getTz() == 0.0 && getMxz() == 0.0 && getMyz() == 0.0 && getMzx() == 0.0 && getMzy() == 0.0 && getMzz() == 1.0) { state3d = APPLY_NON_3D; updateState2D(); } // otherwise state remains COMPLEX return; } } /* ************************************************* * Scale * **************************************************/ /** *

* Appends the 2D scale to this instance. * It is equivalent to {@code append(new Scale(sx, sy))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * scale second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified scale. *

* @param sx the X coordinate scale factor * @param sy the Y coordinate scale factor * @since JavaFX 8.0 */ public void appendScale(double sx, double sy) { atomicChange.start(); scale2D(sx, sy); atomicChange.end(); } /** *

* Appends the 2D scale with pivot to this instance. * It is equivalent to {@code append(new Scale(sx, sy, pivotX, pivotY))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * scale second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified scale. *

* @param sx the X coordinate scale factor * @param sy the Y coordinate scale factor * @param pivotX the X coordinate of the point about which the scale occurs * @param pivotY the Y coordinate of the point about which the scale occurs * @since JavaFX 8.0 */ public void appendScale(double sx, double sy, double pivotX, double pivotY) { atomicChange.start(); if (pivotX != 0.0 || pivotY != 0.0) { translate2D(pivotX, pivotY); scale2D(sx, sy); translate2D(-pivotX, -pivotY); } else { scale2D(sx, sy); } atomicChange.end(); } /** *

* Appends the 2D scale with pivot to this instance. * It is equivalent to * {@code append(new Scale(sx, sy, pivot.getX(), pivot.getY())}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * scale second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified scale. *

* @param sx the X coordinate scale factor * @param sy the Y coordinate scale factor * @param pivot the point about which the scale occurs * @throws NullPointerException if the specified {@code pivot} is null * @since JavaFX 8.0 */ public void appendScale(double sx, double sy, Point2D pivot) { appendScale(sx, sy, pivot.getX(), pivot.getY()); } /** *

* Appends the scale to this instance. * It is equivalent to {@code append(new Scale(sx, sy, sz))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * scale second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified scale. *

* @param sx the X coordinate scale factor * @param sy the Y coordinate scale factor * @param sz the Z coordinate scale factor * @since JavaFX 8.0 */ public void appendScale(double sx, double sy, double sz) { atomicChange.start(); scale3D(sx, sy, sz); atomicChange.end(); } /** *

* Appends the scale with pivot to this instance. * It is equivalent to {@code append(new Scale(sx, sy, sz, pivotX, * pivotY, pivotZ))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * scale second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified scale. *

* @param sx the X coordinate scale factor * @param sy the Y coordinate scale factor * @param sz the Z coordinate scale factor * @param pivotX the X coordinate of the point about which the scale occurs * @param pivotY the Y coordinate of the point about which the scale occurs * @param pivotZ the Z coordinate of the point about which the scale occurs * @since JavaFX 8.0 */ public void appendScale(double sx, double sy, double sz, double pivotX, double pivotY, double pivotZ) { atomicChange.start(); if (pivotX != 0.0 || pivotY != 0.0 || pivotZ != 0.0) { translate3D(pivotX, pivotY, pivotZ); scale3D(sx, sy, sz); translate3D(-pivotX, -pivotY, -pivotZ); } else { scale3D(sx, sy, sz); } atomicChange.end(); } /** *

* Appends the scale with pivot to this instance. * It is equivalent to {@code append(new Scale(sx, sy, sz, pivot.getX(), * pivot.getY(), pivot.getZ()))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * scale second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified scale. *

* @param sx the X coordinate scale factor * @param sy the Y coordinate scale factor * @param sz the Z coordinate scale factor * @param pivot the point about which the scale occurs * @throws NullPointerException if the specified {@code pivot} is null * @since JavaFX 8.0 */ public void appendScale(double sx, double sy, double sz, Point3D pivot) { appendScale(sx, sy, sz, pivot.getX(), pivot.getY(), pivot.getZ()); } /** * 2D implementation of {@code appendScale()}. * If this is a 3D transform, the call is redirected to {@code scale3D()}. */ private void scale2D(double sx, double sy) { if (state3d != APPLY_NON_3D) { scale3D(sx, sy, 1.0); return; } int mystate = state2d; switch (mystate) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SHEAR | APPLY_SCALE: setMxx(getMxx() * sx); setMyy(getMyy() * sy); // fall-through case APPLY_SHEAR | APPLY_TRANSLATE: case APPLY_SHEAR: setMxy(getMxy() * sy); setMyx(getMyx() * sx); if (getMxy() == 0.0 && getMyx() == 0.0) { mystate &= APPLY_TRANSLATE; if (getMxx() != 1.0 || getMyy() != 1.0) { mystate |= APPLY_SCALE; } state2d = mystate; } else if (getMxx() == 0.0 && getMyy() == 0.0) { state2d &= ~APPLY_SCALE; } return; case APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SCALE: setMxx(getMxx() * sx); setMyy(getMyy() * sy); if (getMxx() == 1.0 && getMyy() == 1.0) { state2d = (mystate &= APPLY_TRANSLATE); } return; case APPLY_TRANSLATE: case APPLY_IDENTITY: setMxx(sx); setMyy(sy); if (sx != 1.0 || sy != 1.0) { state2d = (mystate | APPLY_SCALE); } return; } } /** * 3D implementation of {@code appendScale()}. * Works fine if this is a 2D transform. */ private void scale3D(double sx, double sy, double sz) { switch (state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: scale2D(sx, sy); if (sz != 1.0) { setMzz(sz); if ((state2d & APPLY_SHEAR) == 0) { state3d = (state2d & APPLY_TRANSLATE) | APPLY_SCALE; } else { state3d = APPLY_3D_COMPLEX; } } return; case APPLY_TRANSLATE: setMxx(sx); setMyy(sy); setMzz(sz); if (sx != 1.0 || sy != 1.0 || sz != 1.0) { state3d |= APPLY_SCALE; } return; case APPLY_SCALE: setMxx(getMxx() * sx); setMyy(getMyy() * sy); setMzz(getMzz() * sz); if (getMzz() == 1.0) { state3d = APPLY_NON_3D; if (getMxx() == 1.0 && getMyy() == 1.0) { state2d = APPLY_IDENTITY; } else { state2d = APPLY_SCALE; } } return; case APPLY_SCALE | APPLY_TRANSLATE: setMxx(getMxx() * sx); setMyy(getMyy() * sy); setMzz(getMzz() * sz); if (getMxx() == 1.0 && getMyy() == 1.0 && getMzz() == 1.0) { state3d &= ~APPLY_SCALE; } if (getTz() == 0.0 && getMzz() == 1.0) { state2d = state3d; state3d = APPLY_NON_3D; } return; case APPLY_3D_COMPLEX: setMxx(getMxx() * sx); setMxy(getMxy() * sy); setMxz(getMxz() * sz); setMyx(getMyx() * sx); setMyy(getMyy() * sy); setMyz(getMyz() * sz); setMzx(getMzx() * sx); setMzy(getMzy() * sy); setMzz(getMzz() * sz); if (sx == 0.0 || sy == 0.0 || sz == 0.0) { updateState(); } // otherwise state remains COMPLEX return; } } /** *

* Prepends the 2D scale to this instance. * It is equivalent to {@code prepend(new Scale(sx, sy))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified scale first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified scale. *

* @param sx the X coordinate scale factor * @param sy the Y coordinate scale factor * @since JavaFX 8.0 */ public void prependScale(double sx, double sy) { atomicChange.start(); preScale2D(sx, sy); atomicChange.end(); } /** *

* Prepends the 2D scale with pivot to this instance. * It is equivalent to {@code prepend(new Scale(sx, sy, pivotX, pivotY))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified scale first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified scale. *

* @param sx the X coordinate scale factor * @param sy the Y coordinate scale factor * @param pivotX the X coordinate of the point about which the scale occurs * @param pivotY the Y coordinate of the point about which the scale occurs * @since JavaFX 8.0 */ public void prependScale(double sx, double sy, double pivotX, double pivotY) { atomicChange.start(); if (pivotX != 0.0 || pivotY != 0.0) { preTranslate2D(-pivotX, -pivotY); preScale2D(sx, sy); preTranslate2D(pivotX, pivotY); } else { preScale2D(sx, sy); } atomicChange.end(); } /** *

* Prepends the 2D scale with pivot to this instance. * It is equivalent to {@code prepend(new Scale(sx, sy, pivot.getX(), *

pivot.getY()))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified scale first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified scale. *

* @param sx the X coordinate scale factor * @param sy the Y coordinate scale factor * @param pivot the point about which the scale occurs * @throws NullPointerException if the specified {@code pivot} is null * @since JavaFX 8.0 */ public void prependScale(double sx, double sy, Point2D pivot) { prependScale(sx, sy, pivot.getX(), pivot.getY()); } /** *

* Prepends the scale to this instance. * It is equivalent to {@code prepend(new Scale(sx, sy, sz))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified scale first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified scale. *

* @param sx the X coordinate scale factor * @param sy the Y coordinate scale factor * @param sz the Z coordinate scale factor * @since JavaFX 8.0 */ public void prependScale(double sx, double sy, double sz) { atomicChange.start(); preScale3D(sx, sy, sz); atomicChange.end(); } /** *

* Prepends the scale with pivot to this instance. * It is equivalent to * {@code prepend(new Scale(sx, sy, sz, pivotX, pivotY, pivotZ))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified scale first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified scale. *

* @param sx the X coordinate scale factor * @param sy the Y coordinate scale factor * @param sz the Z coordinate scale factor * @param pivotX the X coordinate of the point about which the scale occurs * @param pivotY the Y coordinate of the point about which the scale occurs * @param pivotZ the Z coordinate of the point about which the scale occurs * @since JavaFX 8.0 */ public void prependScale(double sx, double sy, double sz, double pivotX, double pivotY, double pivotZ) { atomicChange.start(); if (pivotX != 0.0 || pivotY != 0.0 || pivotZ != 0.0) { preTranslate3D(-pivotX, -pivotY, -pivotZ); preScale3D(sx, sy, sz); preTranslate3D(pivotX, pivotY, pivotZ); } else { preScale3D(sx, sy, sz); } atomicChange.end(); } /** *

* Prepends the scale with pivot to this instance. * It is equivalent to {@code prepend(new Scale(sx, sy, sz, pivot.getX(), * pivot.getY(), pivot.getZ()))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified scale first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified scale. *

* @param sx the X coordinate scale factor * @param sy the Y coordinate scale factor * @param sz the Z coordinate scale factor * @param pivot the point about which the scale occurs * @throws NullPointerException if the specified {@code pivot} is null * @since JavaFX 8.0 */ public void prependScale(double sx, double sy, double sz, Point3D pivot) { prependScale(sx, sy, sz, pivot.getX(), pivot.getY(), pivot.getZ()); } /** * 2D implementation of {@code prependScale()}. * If this is a 3D transform, the call is redirected to {@code preScale3D()}. */ private void preScale2D(double sx, double sy) { if (state3d != APPLY_NON_3D) { preScale3D(sx, sy, 1.0); return; } int mystate = state2d; switch (mystate) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: setTx(getTx() * sx); setTy(getTy() * sy); if (getTx() == 0.0 && getTy() == 0.0) { mystate = mystate & ~APPLY_TRANSLATE; state2d = mystate; } // fall-through case APPLY_SHEAR | APPLY_SCALE: setMxx(getMxx() * sx); setMyy(getMyy() * sy); // fall-through case APPLY_SHEAR: setMxy(getMxy() * sx); setMyx(getMyx() * sy); if (getMxy() == 0.0 && getMyx() == 0.0) { mystate &= APPLY_TRANSLATE; if (getMxx() != 1.0 || getMyy() != 1.0) { mystate |= APPLY_SCALE; } state2d = mystate; } return; case APPLY_SHEAR | APPLY_TRANSLATE: setTx(getTx() * sx); setTy(getTy() * sy); setMxy(getMxy() * sx); setMyx(getMyx() * sy); if (getMxy() == 0.0 && getMyx() == 0.0) { if (getTx() == 0.0 && getTy() == 0.0) { state2d = APPLY_SCALE; } else { state2d = APPLY_SCALE | APPLY_TRANSLATE; } } else if (getTx() ==0.0 && getTy() == 0.0) { state2d = APPLY_SHEAR; } return; case APPLY_SCALE | APPLY_TRANSLATE: setTx(getTx() * sx); setTy(getTy() * sy); if (getTx() == 0.0 && getTy() == 0.0) { mystate = mystate & ~APPLY_TRANSLATE; state2d = mystate; } // fall-through case APPLY_SCALE: setMxx(getMxx() * sx); setMyy(getMyy() * sy); if (getMxx() == 1.0 && getMyy() == 1.0) { state2d = (mystate &= APPLY_TRANSLATE); } return; case APPLY_TRANSLATE: setTx(getTx() * sx); setTy(getTy() * sy); if (getTx() == 0.0 && getTy() == 0.0) { mystate = mystate & ~APPLY_TRANSLATE; state2d = mystate; } // fall-through case APPLY_IDENTITY: setMxx(sx); setMyy(sy); if (sx != 1.0 || sy != 1.0) { state2d = mystate | APPLY_SCALE; } return; } } /** * 3D implementation of {@code prependScale()}. * Works fine if this is a 2D transform. */ private void preScale3D(double sx, double sy, double sz) { switch (state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: preScale2D(sx, sy); if (sz != 1.0) { setMzz(sz); if ((state2d & APPLY_SHEAR) == 0) { state3d = (state2d & APPLY_TRANSLATE) | APPLY_SCALE; } else { state3d = APPLY_3D_COMPLEX; } } return; case APPLY_SCALE | APPLY_TRANSLATE: setTx(getTx() * sx); setTy(getTy() * sy); setTz(getTz() * sz); setMxx(getMxx() * sx); setMyy(getMyy() * sy); setMzz(getMzz() * sz); if (getTx() == 0.0 && getTy() == 0.0 && getTz() == 0.0) { state3d &= ~APPLY_TRANSLATE; } if (getMxx() == 1.0 && getMyy() == 1.0 && getMzz() == 1.0) { state3d &= ~APPLY_SCALE; } if (getTz() == 0.0 && getMzz() == 1.0) { state2d = state3d; state3d = APPLY_NON_3D; } return; case APPLY_SCALE: setMxx(getMxx() * sx); setMyy(getMyy() * sy); setMzz(getMzz() * sz); if (getMzz() == 1.0) { state3d = APPLY_NON_3D; if (getMxx() == 1.0 && getMyy() == 1.0) { state2d = APPLY_IDENTITY; } else { state2d = APPLY_SCALE; } } return; case APPLY_TRANSLATE: setTx(getTx() * sx); setTy(getTy() * sy); setTz(getTz() * sz); setMxx(sx); setMyy(sy); setMzz(sz); if (getTx() == 0.0 && getTy() == 0.0 && getTz() == 0.0) { state3d &= ~APPLY_TRANSLATE; } if (sx != 1.0 || sy != 1.0 || sz != 1.0) { state3d |= APPLY_SCALE; } return; case APPLY_3D_COMPLEX: setMxx(getMxx() * sx); setMxy(getMxy() * sx); setMxz(getMxz() * sx); setTx(getTx() * sx); setMyx(getMyx() * sy); setMyy(getMyy() * sy); setMyz(getMyz() * sy); setTy(getTy() * sy); setMzx(getMzx() * sz); setMzy(getMzy() * sz); setMzz(getMzz() * sz); setTz(getTz() * sz); if (sx == 0.0 || sy == 0.0 || sz == 0.0) { updateState(); } // otherwise state remains COMPLEX return; } } /* ************************************************* * Shear * **************************************************/ /** *

* Appends the shear to this instance. * It is equivalent to {@code append(new Shear(sx, sy))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * shear second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified shear. *

* @param shx the XY coordinate element * @param shy the YX coordinate element * @since JavaFX 8.0 */ public void appendShear(double shx, double shy) { atomicChange.start(); shear2D(shx, shy); atomicChange.end(); } /** *

* Appends the shear with pivot to this instance. * It is equivalent to {@code append(new Shear(sx, sy, pivotX, pivotY))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * shear second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified shear. *

* @param shx the XY coordinate element * @param shy the YX coordinate element * @param pivotX the X coordinate of the shear pivot point * @param pivotY the Y coordinate of the shear pivot point * @since JavaFX 8.0 */ public void appendShear(double shx, double shy, double pivotX, double pivotY) { atomicChange.start(); if (pivotX != 0.0 || pivotY != 0.0) { translate2D(pivotX, pivotY); shear2D(shx, shy); translate2D(-pivotX, -pivotY); } else { shear2D(shx, shy); } atomicChange.end(); } /** *

* Appends the shear with pivot to this instance. * It is equivalent to {@code append(new Shear(sx, sy, * pivot.getX(), pivot.getY()))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * shear second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified shear. *

* @param shx the XY coordinate element * @param shy the YX coordinate element * @param pivot the shear pivot point * @throws NullPointerException if the specified {@code pivot} is null * @since JavaFX 8.0 */ public void appendShear(double shx, double shy, Point2D pivot) { appendShear(shx, shy, pivot.getX(), pivot.getY()); } /** * 2D implementation of {@code appendShear()}. * If this is a 3D transform, the call is redirected to {@code shear3D()}. */ private void shear2D(double shx, double shy) { if (state3d != APPLY_NON_3D) { shear3D(shx, shy); return; } int mystate = state2d; switch (mystate) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SHEAR | APPLY_SCALE: double M0, M1; M0 = getMxx(); M1 = getMxy(); setMxx(M0 + M1 * shy); setMxy(M0 * shx + M1); M0 = getMyx(); M1 = getMyy(); setMyx(M0 + M1 * shy); setMyy(M0 * shx + M1); updateState2D(); return; case APPLY_SHEAR | APPLY_TRANSLATE: case APPLY_SHEAR: setMxx(getMxy() * shy); setMyy(getMyx() * shx); if (getMxx() != 0.0 || getMyy() != 0.0) { state2d = mystate | APPLY_SCALE; } return; case APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SCALE: setMxy(getMxx() * shx); setMyx(getMyy() * shy); if (getMxy() != 0.0 || getMyx() != 0.0) { state2d = mystate | APPLY_SHEAR; } return; case APPLY_TRANSLATE: case APPLY_IDENTITY: setMxy(shx); setMyx(shy); if (getMxy() != 0.0 || getMyx() != 0.0) { state2d = mystate | APPLY_SCALE | APPLY_SHEAR; } return; } } /** * 3D implementation of {@code appendShear()}. * Works fine if this is a 2D transform. */ private void shear3D(double shx, double shy) { switch (state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: // cannot happen because currently there is no 3D appendShear // that would call this method directly shear2D(shx, shy); return; case APPLY_TRANSLATE: setMxy(shx); setMyx(shy); if (shx != 0.0 || shy != 0.0) { state3d = APPLY_3D_COMPLEX; } return; case APPLY_SCALE: case APPLY_SCALE | APPLY_TRANSLATE: setMxy(getMxx() * shx); setMyx(getMyy() * shy); if (getMxy() != 0.0 || getMyx() != 0.0) { state3d = APPLY_3D_COMPLEX; } return; case APPLY_3D_COMPLEX: final double m_xx = getMxx(); final double m_xy = getMxy(); final double m_yx = getMyx(); final double m_yy = getMyy(); final double m_zx = getMzx(); final double m_zy = getMzy(); setMxx(m_xx + m_xy * shy); setMxy(m_xy + m_xx * shx); setMyx(m_yx + m_yy * shy); setMyy(m_yy + m_yx * shx); setMzx(m_zx + m_zy * shy); setMzy(m_zy + m_zx * shx); updateState(); return; } } /** *

* Prepends the shear to this instance. * It is equivalent to {@code prepend(new Shear(sx, sy))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified shear first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified shear. *

* @param shx the XY coordinate element * @param shy the YX coordinate element * @since JavaFX 8.0 */ public void prependShear(double shx, double shy) { atomicChange.start(); preShear2D(shx, shy); atomicChange.end(); } /** *

* Prepends the shear with pivot to this instance. * It is equivalent to {@code prepend(new Shear(sx, sy, pivotX, pivotY))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified shear first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified shear. *

* @param shx the XY coordinate element * @param shy the YX coordinate element * @param pivotX the X coordinate of the shear pivot point * @param pivotY the Y coordinate of the shear pivot point * @since JavaFX 8.0 */ public void prependShear(double shx, double shy, double pivotX, double pivotY) { atomicChange.start(); if (pivotX != 0.0 || pivotY != 0.0) { preTranslate2D(-pivotX, -pivotY); preShear2D(shx, shy); preTranslate2D(pivotX, pivotY); } else { preShear2D(shx, shy); } atomicChange.end(); } /** *

* Prepends the shear with pivot to this instance. * It is equivalent to {@code prepend(new Shear(sx, sy, pivot.getX(), * pivot.getY()))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified shear first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified shear. *

* @param shx the XY coordinate element * @param shy the YX coordinate element * @param pivot the shear pivot point * @throws NullPointerException if the specified {@code pivot} is null * @since JavaFX 8.0 */ public void prependShear(double shx, double shy, Point2D pivot) { prependShear(shx, shy, pivot.getX(), pivot.getY()); } /** * 2D implementation of {@code prependShear()}. * If this is a 3D transform, the call is redirected to {@code preShear3D()}. */ private void preShear2D(double shx, double shy) { if (state3d != APPLY_NON_3D) { preShear3D(shx, shy); return; } int mystate = state2d; switch (mystate) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SHEAR | APPLY_TRANSLATE: final double t_x_1 = getTx(); final double t_y_1 = getTy(); setTx(t_x_1 + shx * t_y_1); setTy(t_y_1 + shy * t_x_1); // fall-through case APPLY_SHEAR | APPLY_SCALE: case APPLY_SHEAR: final double m_xx = getMxx(); final double m_xy = getMxy(); final double m_yx = getMyx(); final double m_yy = getMyy(); setMxx(m_xx + shx * m_yx); setMxy(m_xy + shx * m_yy); setMyx(shy * m_xx + m_yx); setMyy(shy * m_xy + m_yy); updateState2D(); return; case APPLY_SCALE | APPLY_TRANSLATE: final double t_x_2 = getTx(); final double t_y_2 = getTy(); setTx(t_x_2 + shx * t_y_2); setTy(t_y_2 + shy * t_x_2); if (getTx() == 0.0 && getTy() == 0.0) { mystate = mystate & ~APPLY_TRANSLATE; state2d = mystate; } // fall-through case APPLY_SCALE: setMxy(shx * getMyy()); setMyx(shy * getMxx()); if (getMxy() != 0.0 || getMyx() != 0.0) { state2d = mystate | APPLY_SHEAR; } return; case APPLY_TRANSLATE: final double t_x_3 = getTx(); final double t_y_3 = getTy(); setTx(t_x_3 + shx * t_y_3); setTy(t_y_3 + shy * t_x_3); if (getTx() == 0.0 && getTy() == 0.0) { mystate = mystate & ~APPLY_TRANSLATE; state2d = mystate; } // fall-through case APPLY_IDENTITY: setMxy(shx); setMyx(shy); if (getMxy() != 0.0 || getMyx() != 0.0) { state2d = mystate | APPLY_SCALE | APPLY_SHEAR; } return; } } /** * 3D implementation of {@code prependShear()}. * Works fine if this is a 2D transform. */ private void preShear3D(double shx, double shy) { switch (state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: // cannot happen because currently there is no 3D prependShear // that would call this method directly preShear2D(shx, shy); return; case APPLY_TRANSLATE: final double tx_t = getTx(); setMxy(shx); setTx(tx_t + getTy() * shx); setMyx(shy); setTy(tx_t * shy + getTy()); if (shx != 0.0 || shy != 0.0) { state3d = APPLY_3D_COMPLEX; } return; case APPLY_SCALE: setMxy(getMyy() * shx); setMyx(getMxx() * shy); if (getMxy() != 0.0 || getMyx() != 0.0) { state3d = APPLY_3D_COMPLEX; } return; case APPLY_SCALE | APPLY_TRANSLATE: final double tx_st = getTx(); setMxy(getMyy() * shx); setTx(tx_st + getTy() * shx); setMyx(getMxx() * shy); setTy(tx_st * shy + getTy()); if (getMxy() != 0.0 || getMyx() != 0.0) { state3d = APPLY_3D_COMPLEX; } return; case APPLY_3D_COMPLEX: final double m_xx = getMxx(); final double m_xy = getMxy(); final double m_yx = getMyx(); final double t_x = getTx(); final double m_yy = getMyy(); final double m_xz = getMxz(); final double m_yz = getMyz(); final double t_y = getTy(); setMxx(m_xx + m_yx * shx); setMxy(m_xy + m_yy * shx); setMxz(m_xz + m_yz * shx); setTx(t_x + t_y * shx); setMyx(m_xx * shy + m_yx); setMyy(m_xy * shy + m_yy); setMyz(m_xz * shy + m_yz); setTy(t_x * shy + t_y); updateState(); return; } } /* ************************************************* * Rotate * **************************************************/ /** *

* Appends the 2D rotation to this instance. * It is equivalent to {@code append(new Rotate(angle))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * rotation second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified rotation. *

* @param angle the angle of the rotation in degrees * @since JavaFX 8.0 */ public void appendRotation(double angle) { atomicChange.start(); rotate2D(angle); atomicChange.end(); } /** *

* Appends the 2D rotation with pivot to this instance. * It is equivalent to {@code append(new Rotate(angle, pivotX, pivotY))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * rotation second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified rotation. *

* @param angle the angle of the rotation in degrees * @param pivotX the X coordinate of the rotation pivot point * @param pivotY the Y coordinate of the rotation pivot point * @since JavaFX 8.0 */ public void appendRotation(double angle, double pivotX, double pivotY) { atomicChange.start(); if (pivotX != 0.0 || pivotY != 0.0) { translate2D(pivotX, pivotY); rotate2D(angle); translate2D(-pivotX, -pivotY); } else { rotate2D(angle); } atomicChange.end(); } /** *

* Appends the 2D rotation with pivot to this instance. * It is equivalent to {@code append(new Rotate(angle, pivot.getX(), * pivot.getY()))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * rotation second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified rotation. *

* @param angle the angle of the rotation in degrees * @param pivot the rotation pivot point * @throws NullPointerException if the specified {@code pivot} is null * @since JavaFX 8.0 */ public void appendRotation(double angle, Point2D pivot) { appendRotation(angle, pivot.getX(), pivot.getY()); } /** *

* Appends the rotation to this instance. * It is equivalent to {@code append(new Rotate(angle, pivotX, pivotY, * pivotZ, new Point3D(axisX, axisY, axisZ)))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * rotation second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified rotation. *

* @param angle the angle of the rotation in degrees * @param pivotX the X coordinate of the rotation pivot point * @param pivotY the Y coordinate of the rotation pivot point * @param pivotZ the Z coordinate of the rotation pivot point * @param axisX the X coordinate magnitude of the rotation axis * @param axisY the Y coordinate magnitude of the rotation axis * @param axisZ the Z coordinate magnitude of the rotation axis * @since JavaFX 8.0 */ public void appendRotation(double angle, double pivotX, double pivotY, double pivotZ, double axisX, double axisY, double axisZ) { atomicChange.start(); if (pivotX != 0.0 || pivotY != 0.0 || pivotZ != 0.0) { translate3D(pivotX, pivotY, pivotZ); rotate3D(angle, axisX, axisY, axisZ); translate3D(-pivotX, -pivotY, -pivotZ); } else { rotate3D(angle, axisX, axisY, axisZ); } atomicChange.end(); } /** *

* Appends the rotation to this instance. * It is equivalent to {@code append(new Rotate(angle, pivotX, pivotY, * pivotZ, axis))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * rotation second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified rotation. *

* @param angle the angle of the rotation in degrees * @param pivotX the X coordinate of the rotation pivot point * @param pivotY the Y coordinate of the rotation pivot point * @param pivotZ the Z coordinate of the rotation pivot point * @param axis the rotation axis * @throws NullPointerException if the specified {@code axis} is null * @since JavaFX 8.0 */ public void appendRotation(double angle, double pivotX, double pivotY, double pivotZ, Point3D axis) { appendRotation(angle, pivotX, pivotY, pivotZ, axis.getX(), axis.getY(), axis.getZ()); } /** *

* Appends the rotation to this instance. * It is equivalent to {@code append(new Rotate(angle, pivot.getX(), * pivot.getY(), pivot.getZ(), axis))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, {@code this} transform first and the specified * rotation second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the right by the transformation matrix of * the specified rotation. *

* @param angle the angle of the rotation in degrees * @param pivot the rotation pivot point * @param axis the rotation axis * @throws NullPointerException if the specified {@code pivot} * or {@code axis} is null * @since JavaFX 8.0 */ public void appendRotation(double angle, Point3D pivot, Point3D axis) { appendRotation(angle, pivot.getX(), pivot.getY(), pivot.getZ(), axis.getX(), axis.getY(), axis.getZ()); } /** * Implementation of the {@code appendRotation()} around an arbitrary axis. */ private void rotate3D(double angle, double axisX, double axisY, double axisZ) { if (axisX == 0.0 && axisY == 0.0) { if (axisZ > 0.0) { rotate3D(angle); } else if (axisZ < 0.0) { rotate3D(-angle); } // else rotating about zero vector - NOP return; } double mag = Math.sqrt(axisX * axisX + axisY * axisY + axisZ * axisZ); if (mag == 0.0) { return; } mag = 1.0 / mag; final double ax = axisX * mag; final double ay = axisY * mag; final double az = axisZ * mag; final double sinTheta = Math.sin(Math.toRadians(angle)); final double cosTheta = Math.cos(Math.toRadians(angle)); final double t = 1.0 - cosTheta; final double xz = ax * az; final double xy = ax * ay; final double yz = ay * az; final double Txx = t * ax * ax + cosTheta; final double Txy = t * xy - sinTheta * az; final double Txz = t * xz + sinTheta * ay; final double Tyx = t * xy + sinTheta * az; final double Tyy = t * ay * ay + cosTheta; final double Tyz = t * yz - sinTheta * ax; final double Tzx = t * xz - sinTheta * ay; final double Tzy = t * yz + sinTheta * ax; final double Tzz = t * az * az + cosTheta; switch (state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: switch (state2d) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SHEAR | APPLY_SCALE: final double xx_sst = getMxx(); final double xy_sst = getMxy(); final double yx_sst = getMyx(); final double yy_sst = getMyy(); setMxx(xx_sst * Txx + xy_sst * Tyx); setMxy(xx_sst * Txy + xy_sst * Tyy); setMxz(xx_sst * Txz + xy_sst * Tyz); setMyx(yx_sst * Txx + yy_sst * Tyx); setMyy(yx_sst * Txy + yy_sst * Tyy); setMyz(yx_sst * Txz + yy_sst * Tyz); setMzx(Tzx); setMzy(Tzy); setMzz(Tzz); break; case APPLY_SHEAR | APPLY_TRANSLATE: case APPLY_SHEAR: final double xy_sht = getMxy(); final double yx_sht = getMyx(); setMxx(xy_sht * Tyx); setMxy(xy_sht * Tyy); setMxz(xy_sht * Tyz); setMyx(yx_sht * Txx); setMyy(yx_sht * Txy); setMyz(yx_sht * Txz); setMzx(Tzx); setMzy(Tzy); setMzz(Tzz); break; case APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SCALE: final double xx_s = getMxx(); final double yy_s = getMyy(); setMxx(xx_s * Txx); setMxy(xx_s * Txy); setMxz(xx_s * Txz); setMyx(yy_s * Tyx); setMyy(yy_s * Tyy); setMyz(yy_s * Tyz); setMzx(Tzx); setMzy(Tzy); setMzz(Tzz); break; case APPLY_TRANSLATE: case APPLY_IDENTITY: setMxx(Txx); setMxy(Txy); setMxz(Txz); setMyx(Tyx); setMyy(Tyy); setMyz(Tyz); setMzx(Tzx); setMzy(Tzy); setMzz(Tzz); break; } break; case APPLY_TRANSLATE: setMxx(Txx); setMxy(Txy); setMxz(Txz); setMyx(Tyx); setMyy(Tyy); setMyz(Tyz); setMzx(Tzx); setMzy(Tzy); setMzz(Tzz); break; case APPLY_SCALE: case APPLY_SCALE | APPLY_TRANSLATE: final double xx_st = getMxx(); final double yy_st = getMyy(); final double zz_st = getMzz(); setMxx(xx_st * Txx); setMxy(xx_st * Txy); setMxz(xx_st * Txz); setMyx(yy_st * Tyx); setMyy(yy_st * Tyy); setMyz(yy_st * Tyz); setMzx(zz_st * Tzx); setMzy(zz_st * Tzy); setMzz(zz_st * Tzz); break; case APPLY_3D_COMPLEX: final double m_xx = getMxx(); final double m_xy = getMxy(); final double m_xz = getMxz(); final double m_yx = getMyx(); final double m_yy = getMyy(); final double m_yz = getMyz(); final double m_zx = getMzx(); final double m_zy = getMzy(); final double m_zz = getMzz(); setMxx(m_xx * Txx + m_xy * Tyx + m_xz * Tzx /* + mxt * 0.0 */); setMxy(m_xx * Txy + m_xy * Tyy + m_xz * Tzy /* + mxt * 0.0 */); setMxz(m_xx * Txz + m_xy * Tyz + m_xz * Tzz /* + mxt * 0.0 */); setMyx(m_yx * Txx + m_yy * Tyx + m_yz * Tzx /* + myt * 0.0 */); setMyy(m_yx * Txy + m_yy * Tyy + m_yz * Tzy /* + myt * 0.0 */); setMyz(m_yx * Txz + m_yy * Tyz + m_yz * Tzz /* + myt * 0.0 */); setMzx(m_zx * Txx + m_zy * Tyx + m_zz * Tzx /* + mzt * 0.0 */); setMzy(m_zx * Txy + m_zy * Tyy + m_zz * Tzy /* + mzt * 0.0 */); setMzz(m_zx * Txz + m_zy * Tyz + m_zz * Tzz /* + mzt * 0.0 */); break; } updateState(); } /** * Table of 2D state changes during predictable quadrant rotations where * the shear and scaleAffine values are swapped and negated. */ private static final int rot90conversion[] = { /* IDENTITY => */ APPLY_SHEAR, /* TRANSLATE (TR) => */ APPLY_SHEAR | APPLY_TRANSLATE, /* SCALE (SC) => */ APPLY_SHEAR, /* SC | TR => */ APPLY_SHEAR | APPLY_TRANSLATE, /* SHEAR (SH) => */ APPLY_SCALE, /* SH | TR => */ APPLY_SCALE | APPLY_TRANSLATE, /* SH | SC => */ APPLY_SHEAR | APPLY_SCALE, /* SH | SC | TR => */ APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE, }; /** * 2D implementation of {@code appendRotation}. * If this is a 3D transform, the call is redirected to {@code rotate3D()}. */ private void rotate2D(double theta) { if (state3d != APPLY_NON_3D) { rotate3D(theta); return; } double sin = Math.sin(Math.toRadians(theta)); if (sin == 1.0) { rotate2D_90(); } else if (sin == -1.0) { rotate2D_270(); } else { double cos = Math.cos(Math.toRadians(theta)); if (cos == -1.0) { rotate2D_180(); } else if (cos != 1.0) { double M0, M1; M0 = getMxx(); M1 = getMxy(); setMxx(cos * M0 + sin * M1); setMxy(-sin * M0 + cos * M1); M0 = getMyx(); M1 = getMyy(); setMyx(cos * M0 + sin * M1); setMyy(-sin * M0 + cos * M1); updateState2D(); } } } /** * 2D implementation of {@code appendRotation} for 90 degrees rotation * around Z axis. * Behaves wrong when called for a 3D transform. */ private void rotate2D_90() { double M0 = getMxx(); setMxx(getMxy()); setMxy(-M0); M0 = getMyx(); setMyx(getMyy()); setMyy(-M0); int newstate = rot90conversion[state2d]; if ((newstate & (APPLY_SHEAR | APPLY_SCALE)) == APPLY_SCALE && getMxx() == 1.0 && getMyy() == 1.0) { newstate -= APPLY_SCALE; } else if ((newstate & (APPLY_SHEAR | APPLY_SCALE)) == APPLY_SHEAR && getMxy() == 0.0 && getMyx() == 0.0) { newstate = (newstate & ~APPLY_SHEAR | APPLY_SCALE); } state2d = newstate; } /** * 2D implementation of {@code appendRotation} for 180 degrees rotation * around Z axis. * Behaves wrong when called for a 3D transform. */ private void rotate2D_180() { setMxx(-getMxx()); setMyy(-getMyy()); int oldstate = state2d; if ((oldstate & (APPLY_SHEAR)) != 0) { // If there was a shear, then this rotation has no // effect on the state. setMxy(-getMxy()); setMyx(-getMyx()); } else { // No shear means the SCALE state may toggle when // m00 and m11 are negated. if (getMxx() == 1.0 && getMyy() == 1.0) { state2d = oldstate & ~APPLY_SCALE; } else { state2d = oldstate | APPLY_SCALE; } } } /** * 2D implementation of {@code appendRotation} for 270 degrees rotation * around Z axis. * Behaves wrong when called for a 3D transform. */ private void rotate2D_270() { double M0 = getMxx(); setMxx(-getMxy()); setMxy(M0); M0 = getMyx(); setMyx(-getMyy()); setMyy(M0); int newstate = rot90conversion[state2d]; if ((newstate & (APPLY_SHEAR | APPLY_SCALE)) == APPLY_SCALE && getMxx() == 1.0 && getMyy() == 1.0) { newstate -= APPLY_SCALE; } else if ((newstate & (APPLY_SHEAR | APPLY_SCALE)) == APPLY_SHEAR && getMxy() == 0.0 && getMyx() == 0.0) { newstate = (newstate & ~APPLY_SHEAR | APPLY_SCALE); } state2d = newstate; } /** * 3D implementation of {@code appendRotation} around Z axis. * If this is a 2D transform, the call is redirected to {@code rotate2D()}. */ private void rotate3D(double theta) { if (state3d == APPLY_NON_3D) { rotate2D(theta); return; } double sin = Math.sin(Math.toRadians(theta)); if (sin == 1.0) { rotate3D_90(); } else if (sin == -1.0) { rotate3D_270(); } else { double cos = Math.cos(Math.toRadians(theta)); if (cos == -1.0) { rotate3D_180(); } else if (cos != 1.0) { double M0, M1; M0 = getMxx(); M1 = getMxy(); setMxx(cos * M0 + sin * M1); setMxy(-sin * M0 + cos * M1); M0 = getMyx(); M1 = getMyy(); setMyx(cos * M0 + sin * M1); setMyy(-sin * M0 + cos * M1); M0 = getMzx(); M1 = getMzy(); setMzx(cos * M0 + sin * M1); setMzy(-sin * M0 + cos * M1); updateState(); } } } /** * 3D implementation of {@code appendRotation} for 90 degrees rotation * around Z axis. * Behaves wrong when called for a 2D transform. */ private void rotate3D_90() { double M0 = getMxx(); setMxx(getMxy()); setMxy(-M0); M0 = getMyx(); setMyx(getMyy()); setMyy(-M0); M0 = getMzx(); setMzx(getMzy()); setMzy(-M0); switch(state3d) { default: stateError(); // cannot reach case APPLY_TRANSLATE: state3d = APPLY_3D_COMPLEX; return; case APPLY_SCALE: case APPLY_SCALE | APPLY_TRANSLATE: if (getMxy() != 0.0 || getMyx() != 0.0) { state3d = APPLY_3D_COMPLEX; } return; case APPLY_3D_COMPLEX: updateState(); return; } } /** * 3D implementation of {@code appendRotation} for 180 degrees rotation * around Z axis. * Behaves wrong when called for a 2D transform. */ private void rotate3D_180() { final double mxx = getMxx(); final double myy = getMyy(); setMxx(-mxx); setMyy(-myy); if (state3d == APPLY_3D_COMPLEX) { setMxy(-getMxy()); setMyx(-getMyx()); setMzx(-getMzx()); setMzy(-getMzy()); updateState(); return; } if (mxx == -1.0 && myy == -1.0 && getMzz() == 1.0) { // must have been 3d because of translation, which remained state3d &= ~APPLY_SCALE; } else { state3d |= APPLY_SCALE; } } /** * 3D implementation of {@code appendRotation} for 270 degrees rotation * around Z axis. * Behaves wrong when called for a 2D transform. */ private void rotate3D_270() { double M0 = getMxx(); setMxx(-getMxy()); setMxy(M0); M0 = getMyx(); setMyx(-getMyy()); setMyy(M0); M0 = getMzx(); setMzx(-getMzy()); setMzy(M0); switch(state3d) { default: stateError(); // cannot reach case APPLY_TRANSLATE: state3d = APPLY_3D_COMPLEX; return; case APPLY_SCALE: case APPLY_SCALE | APPLY_TRANSLATE: if (getMxy() != 0.0 || getMyx() != 0.0) { state3d = APPLY_3D_COMPLEX; } return; case APPLY_3D_COMPLEX: updateState(); return; } } /** *

* Prepends the 2D rotation to this instance. * It is equivalent to {@code prepend(new Rotate(angle))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified rotation first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified rotation. *

* @param angle the angle of the rotation in degrees * @since JavaFX 8.0 */ public void prependRotation(double angle) { atomicChange.start(); preRotate2D(angle); atomicChange.end(); } /** *

* Prepends the 2D rotation with pivot to this instance. * It is equivalent to {@code prepend(new Rotate(angle, pivotX, pivotY))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified rotation first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified rotation. *

* @param angle the angle of the rotation in degrees * @param pivotX the X coordinate of the rotation pivot point * @param pivotY the Y coordinate of the rotation pivot point * @since JavaFX 8.0 */ public void prependRotation(double angle, double pivotX, double pivotY) { atomicChange.start(); if (pivotX != 0.0 || pivotY != 0.0) { preTranslate2D(-pivotX, -pivotY); preRotate2D(angle); preTranslate2D(pivotX, pivotY); } else { preRotate2D(angle); } atomicChange.end(); } /** *

* Prepends the 2D rotation with pivot to this instance. * It is equivalent to {@code prepend(new Rotate(angle, pivot.getX(), * pivot.getY()))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified rotation first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified rotation. *

* @param angle the angle of the rotation in degrees * @param pivot the rotation pivot point * @throws NullPointerException if the specified {@code pivot} is null * @since JavaFX 8.0 */ public void prependRotation(double angle, Point2D pivot) { prependRotation(angle, pivot.getX(), pivot.getY()); } /** *

* Prepends the rotation to this instance. * It is equivalent to {@code prepend(new Rotate(angle, pivotX, pivotY, * pivotZ, new Point3D(axisX, axisY, axisZ)))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified rotation first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified rotation. *

* @param angle the angle of the rotation in degrees * @param pivotX the X coordinate of the rotation pivot point * @param pivotY the Y coordinate of the rotation pivot point * @param pivotZ the Z coordinate of the rotation pivot point * @param axisX the X coordinate magnitude of the rotation axis * @param axisY the Y coordinate magnitude of the rotation axis * @param axisZ the Z coordinate magnitude of the rotation axis * @since JavaFX 8.0 */ public void prependRotation(double angle, double pivotX, double pivotY, double pivotZ, double axisX, double axisY, double axisZ) { atomicChange.start(); if (pivotX != 0.0 || pivotY != 0.0 || pivotZ != 0.0) { preTranslate3D(-pivotX, -pivotY, -pivotZ); preRotate3D(angle, axisX, axisY, axisZ); preTranslate3D(pivotX, pivotY, pivotZ); } else { preRotate3D(angle, axisX, axisY, axisZ); } atomicChange.end(); } /** *

* Prepends the rotation to this instance. * It is equivalent to {@code prepend(new Rotate(angle, pivotX, pivotY, * pivotZ, axis))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified rotation first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified rotation. *

* @param angle the angle of the rotation in degrees * @param pivotX the X coordinate of the rotation pivot point * @param pivotY the Y coordinate of the rotation pivot point * @param pivotZ the Z coordinate of the rotation pivot point * @param axis the rotation axis * @throws NullPointerException if the specified {@code axis} is null * @since JavaFX 8.0 */ public void prependRotation(double angle, double pivotX, double pivotY, double pivotZ, Point3D axis) { prependRotation(angle, pivotX, pivotY, pivotZ, axis.getX(), axis.getY(), axis.getZ()); } /** *

* Prepends the rotation to this instance. * It is equivalent to {@code prepend(new Rotate(angle, pivot.getX(), * pivot.getY(), pivot.getZ(), axis))}. *

* The operation modifies this transform in a way that applying it to a node * has the same effect as adding two transforms to its * {@code getTransforms()} list, the specified rotation first * and {@code this} transform second. *

* From the matrix point of view, the transformation matrix of this * transform is multiplied on the left by the transformation matrix of * the specified rotation. *

* @param angle the angle of the rotation in degrees * @param pivot the rotation pivot point * @param axis the rotation axis * @throws NullPointerException if the specified {@code pivot} * or {@code axis} is null * @since JavaFX 8.0 */ public void prependRotation(double angle, Point3D pivot, Point3D axis) { prependRotation(angle, pivot.getX(), pivot.getY(), pivot.getZ(), axis.getX(), axis.getY(), axis.getZ()); } /** * Implementation of the {@code prependRotation()} around an arbitrary axis. */ private void preRotate3D(double angle, double axisX, double axisY, double axisZ) { if (axisX == 0.0 && axisY == 0.0) { if (axisZ > 0.0) { preRotate3D(angle); } else if (axisZ < 0.0) { preRotate3D(-angle); } // else rotating about zero vector - NOP return; } double mag = Math.sqrt(axisX * axisX + axisY * axisY + axisZ * axisZ); if (mag == 0.0) { return; } mag = 1.0 / mag; final double ax = axisX * mag; final double ay = axisY * mag; final double az = axisZ * mag; final double sinTheta = Math.sin(Math.toRadians(angle)); final double cosTheta = Math.cos(Math.toRadians(angle)); final double t = 1.0 - cosTheta; final double xz = ax * az; final double xy = ax * ay; final double yz = ay * az; final double Txx = t * ax * ax + cosTheta; final double Txy = t * xy - sinTheta * az; final double Txz = t * xz + sinTheta * ay; final double Tyx = t * xy + sinTheta * az; final double Tyy = t * ay * ay + cosTheta; final double Tyz = t * yz - sinTheta * ax; final double Tzx = t * xz - sinTheta * ay; final double Tzy = t * yz + sinTheta * ax; final double Tzz = t * az * az + cosTheta; switch (state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: switch (state2d) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: final double xx_sst = getMxx(); final double xy_sst = getMxy(); final double tx_sst = getTx(); final double yx_sst = getMyx(); final double yy_sst = getMyy(); final double ty_sst = getTy(); setMxx(Txx * xx_sst + Txy * yx_sst); setMxy(Txx * xy_sst + Txy * yy_sst); setMxz(Txz); setTx( Txx * tx_sst + Txy * ty_sst); setMyx(Tyx * xx_sst + Tyy * yx_sst); setMyy(Tyx * xy_sst + Tyy * yy_sst); setMyz(Tyz); setTy( Tyx * tx_sst + Tyy * ty_sst); setMzx(Tzx * xx_sst + Tzy * yx_sst); setMzy(Tzx * xy_sst + Tzy * yy_sst); setMzz(Tzz); setTz( Tzx * tx_sst + Tzy * ty_sst); break; case APPLY_SHEAR | APPLY_SCALE: final double xx_ss = getMxx(); final double xy_ss = getMxy(); final double yx_ss = getMyx(); final double yy_ss = getMyy(); setMxx(Txx * xx_ss + Txy * yx_ss); setMxy(Txx * xy_ss + Txy * yy_ss); setMxz(Txz); setMyx(Tyx * xx_ss + Tyy * yx_ss); setMyy(Tyx * xy_ss + Tyy * yy_ss); setMyz(Tyz); setMzx(Tzx * xx_ss + Tzy * yx_ss); setMzy(Tzx * xy_ss + Tzy * yy_ss); setMzz(Tzz); break; case APPLY_SHEAR | APPLY_TRANSLATE: final double xy_sht = getMxy(); final double tx_sht = getTx(); final double yx_sht = getMyx(); final double ty_sht = getTy(); setMxx(Txy * yx_sht); setMxy(Txx * xy_sht); setMxz(Txz); setTx( Txx * tx_sht + Txy * ty_sht); setMyx(Tyy * yx_sht); setMyy(Tyx * xy_sht); setMyz(Tyz); setTy( Tyx * tx_sht + Tyy * ty_sht); setMzx(Tzy * yx_sht); setMzy(Tzx * xy_sht); setMzz(Tzz); setTz( Tzx * tx_sht + Tzy * ty_sht); break; case APPLY_SHEAR: final double xy_sh = getMxy(); final double yx_sh = getMyx(); setMxx(Txy * yx_sh); setMxy(Txx * xy_sh); setMxz(Txz); setMyx(Tyy * yx_sh); setMyy(Tyx * xy_sh); setMyz(Tyz); setMzx(Tzy * yx_sh); setMzy(Tzx * xy_sh); setMzz(Tzz); break; case APPLY_SCALE | APPLY_TRANSLATE: final double xx_st = getMxx(); final double tx_st = getTx(); final double yy_st = getMyy(); final double ty_st = getTy(); setMxx(Txx * xx_st); setMxy(Txy * yy_st); setMxz(Txz); setTx( Txx * tx_st + Txy * ty_st); setMyx(Tyx * xx_st); setMyy(Tyy * yy_st); setMyz(Tyz); setTy( Tyx * tx_st + Tyy * ty_st); setMzx(Tzx * xx_st); setMzy(Tzy * yy_st); setMzz(Tzz); setTz( Tzx * tx_st + Tzy * ty_st); break; case APPLY_SCALE: final double xx_s = getMxx(); final double yy_s = getMyy(); setMxx(Txx * xx_s); setMxy(Txy * yy_s); setMxz(Txz); setMyx(Tyx * xx_s); setMyy(Tyy * yy_s); setMyz(Tyz); setMzx(Tzx * xx_s); setMzy(Tzy * yy_s); setMzz(Tzz); break; case APPLY_TRANSLATE: final double tx_t = getTx(); final double ty_t = getTy(); setMxx(Txx); setMxy(Txy); setMxz(Txz); setTx( Txx * tx_t + Txy * ty_t); setMyx(Tyx); setMyy(Tyy); setMyz(Tyz); setTy( Tyx * tx_t + Tyy * ty_t); setMzx(Tzx); setMzy(Tzy); setMzz(Tzz); setTz( Tzx * tx_t + Tzy * ty_t); break; case APPLY_IDENTITY: setMxx(Txx); setMxy(Txy); setMxz(Txz); setMyx(Tyx); setMyy(Tyy); setMyz(Tyz); setMzx(Tzx); setMzy(Tzy); setMzz(Tzz); break; } break; case APPLY_TRANSLATE: final double tx_t = getTx(); final double ty_t = getTy(); final double tz_t = getTz(); setMxx(Txx); setMxy(Txy); setMxz(Txz); setMyx(Tyx); setMyy(Tyy); setMyz(Tyz); setMzx(Tzx); setMzy(Tzy); setMzz(Tzz); setTx( Txx * tx_t + Txy * ty_t + Txz * tz_t); setTy( Tyx * tx_t + Tyy * ty_t + Tyz * tz_t); setTz( Tzx * tx_t + Tzy * ty_t + Tzz * tz_t); break; case APPLY_SCALE: final double xx_s = getMxx(); final double yy_s = getMyy(); final double zz_s = getMzz(); setMxx(Txx * xx_s); setMxy(Txy * yy_s); setMxz(Txz * zz_s); setMyx(Tyx * xx_s); setMyy(Tyy * yy_s); setMyz(Tyz * zz_s); setMzx(Tzx * xx_s); setMzy(Tzy * yy_s); setMzz(Tzz * zz_s); break; case APPLY_SCALE | APPLY_TRANSLATE: final double xx_st = getMxx(); final double tx_st = getTx(); final double yy_st = getMyy(); final double ty_st = getTy(); final double zz_st = getMzz(); final double tz_st = getTz(); setMxx(Txx * xx_st); setMxy(Txy * yy_st); setMxz(Txz * zz_st); setTx( Txx * tx_st + Txy * ty_st + Txz * tz_st); setMyx(Tyx * xx_st); setMyy(Tyy * yy_st); setMyz(Tyz * zz_st); setTy( Tyx * tx_st + Tyy * ty_st + Tyz * tz_st); setMzx(Tzx * xx_st); setMzy(Tzy * yy_st); setMzz(Tzz * zz_st); setTz( Tzx * tx_st + Tzy * ty_st + Tzz * tz_st); break; case APPLY_3D_COMPLEX: final double m_xx = getMxx(); final double m_xy = getMxy(); final double m_xz = getMxz(); final double t_x = getTx(); final double m_yx = getMyx(); final double m_yy = getMyy(); final double m_yz = getMyz(); final double t_y = getTy(); final double m_zx = getMzx(); final double m_zy = getMzy(); final double m_zz = getMzz(); final double t_z = getTz(); setMxx(Txx * m_xx + Txy * m_yx + Txz * m_zx /* + Ttx * 0.0 */); setMxy(Txx * m_xy + Txy * m_yy + Txz * m_zy /* + Ttx * 0.0 */); setMxz(Txx * m_xz + Txy * m_yz + Txz * m_zz /* + Ttx * 0.0 */); setTx( Txx * t_x + Txy * t_y + Txz * t_z /* + Ttx * 0.0 */); setMyx(Tyx * m_xx + Tyy * m_yx + Tyz * m_zx /* + Tty * 0.0 */); setMyy(Tyx * m_xy + Tyy * m_yy + Tyz * m_zy /* + Tty * 0.0 */); setMyz(Tyx * m_xz + Tyy * m_yz + Tyz * m_zz /* + Tty * 0.0 */); setTy( Tyx * t_x + Tyy * t_y + Tyz * t_z /* + Tty * 0.0 */); setMzx(Tzx * m_xx + Tzy * m_yx + Tzz * m_zx /* + Ttz * 0.0 */); setMzy(Tzx * m_xy + Tzy * m_yy + Tzz * m_zy /* + Ttz * 0.0 */); setMzz(Tzx * m_xz + Tzy * m_yz + Tzz * m_zz /* + Ttz * 0.0 */); setTz( Tzx * t_x + Tzy * t_y + Tzz * t_z /* + Ttz * 0.0 */); break; } updateState(); } /** * 2D implementation of {@code prependRotation}. * If this is a 3D transform, the call is redirected to {@code preRotate3D()}. */ private void preRotate2D(double theta) { if (state3d != APPLY_NON_3D) { preRotate3D(theta); return; } double sin = Math.sin(Math.toRadians(theta)); if (sin == 1.0) { preRotate2D_90(); } else if (sin == -1.0) { preRotate2D_270(); } else { double cos = Math.cos(Math.toRadians(theta)); if (cos == -1.0) { preRotate2D_180(); } else if (cos != 1.0) { double M0, M1; M0 = getMxx(); M1 = getMyx(); setMxx(cos * M0 - sin * M1); setMyx(sin * M0 + cos * M1); M0 = getMxy(); M1 = getMyy(); setMxy(cos * M0 - sin * M1); setMyy(sin * M0 + cos * M1); M0 = getTx(); M1 = getTy(); setTx(cos * M0 - sin * M1); setTy(sin * M0 + cos * M1); updateState2D(); } } } /** * 2D implementation of {@code prependRotation} for 90 degrees rotation * around Z axis. * Behaves wrong when called for a 3D transform. */ private void preRotate2D_90() { double M0 = getMxx(); setMxx(-getMyx()); setMyx(M0); M0 = getMxy(); setMxy(-getMyy()); setMyy(M0); M0 = getTx(); setTx(-getTy()); setTy(M0); int newstate = rot90conversion[state2d]; if ((newstate & (APPLY_SHEAR | APPLY_SCALE)) == APPLY_SCALE && getMxx() == 1.0 && getMyy() == 1.0) { newstate -= APPLY_SCALE; } else if ((newstate & (APPLY_SHEAR | APPLY_SCALE)) == APPLY_SHEAR && getMxy() == 0.0 && getMyx() == 0.0) { newstate = (newstate & ~APPLY_SHEAR | APPLY_SCALE); } state2d = newstate; } /** * 2D implementation of {@code prependRotation} for 180 degrees rotation * around Z axis. * Behaves wrong when called for a 3D transform. */ private void preRotate2D_180() { setMxx(-getMxx()); setMxy(-getMxy()); setTx(-getTx()); setMyx(-getMyx()); setMyy(-getMyy()); setTy(-getTy()); if ((state2d & APPLY_SHEAR) != 0) { if (getMxx() == 0.0 && getMyy() == 0.0) { state2d &= ~APPLY_SCALE; } else { state2d |= APPLY_SCALE; } } else { if (getMxx() == 1.0 && getMyy() == 1.0) { state2d &= ~APPLY_SCALE; } else { state2d |= APPLY_SCALE; } } } /** * 2D implementation of {@code prependRotation} for 270 degrees rotation * around Z axis. * Behaves wrong when called for a 3D transform. */ private void preRotate2D_270() { double M0 = getMxx(); setMxx(getMyx()); setMyx(-M0); M0 = getMxy(); setMxy(getMyy()); setMyy(-M0); M0 = getTx(); setTx(getTy()); setTy(-M0); int newstate = rot90conversion[state2d]; if ((newstate & (APPLY_SHEAR | APPLY_SCALE)) == APPLY_SCALE && getMxx() == 1.0 && getMyy() == 1.0) { newstate -= APPLY_SCALE; } else if ((newstate & (APPLY_SHEAR | APPLY_SCALE)) == APPLY_SHEAR && getMxy() == 0.0 && getMyx() == 0.0) { newstate = (newstate & ~APPLY_SHEAR | APPLY_SCALE); } state2d = newstate; } /** * 3D implementation of {@code prependRotation} around Z axis. * If this is a 2D transform, the call is redirected to {@code preRotate2D()}. */ private void preRotate3D(double theta) { if (state3d == APPLY_NON_3D) { preRotate2D(theta); return; } double sin = Math.sin(Math.toRadians(theta)); if (sin == 1.0) { preRotate3D_90(); } else if (sin == -1.0) { preRotate3D_270(); } else { double cos = Math.cos(Math.toRadians(theta)); if (cos == -1.0) { preRotate3D_180(); } else if (cos != 1.0) { double M0, M1; M0 = getMxx(); M1 = getMyx(); setMxx(cos * M0 - sin * M1); setMyx(sin * M0 + cos * M1); M0 = getMxy(); M1 = getMyy(); setMxy(cos * M0 - sin * M1); setMyy(sin * M0 + cos * M1); M0 = getMxz(); M1 = getMyz(); setMxz(cos * M0 - sin * M1); setMyz(sin * M0 + cos * M1); M0 = getTx(); M1 = getTy(); setTx(cos * M0 - sin * M1); setTy(sin * M0 + cos * M1); updateState(); } } } /** * 3D implementation of {@code prependRotation} for 90 degrees rotation * around Z axis. * Behaves wrong when called for a 2D transform. */ private void preRotate3D_90() { double M0 = getMxx(); setMxx(-getMyx()); setMyx(M0); M0 = getMxy(); setMxy(-getMyy()); setMyy(M0); M0 = getMxz(); setMxz(-getMyz()); setMyz(M0); M0 = getTx(); setTx(-getTy()); setTy(M0); switch(state3d) { default: stateError(); // cannot reach case APPLY_TRANSLATE: state3d = APPLY_3D_COMPLEX; return; case APPLY_SCALE: case APPLY_SCALE | APPLY_TRANSLATE: if (getMxy() != 0.0 || getMyx() != 0.0) { state3d = APPLY_3D_COMPLEX; } return; case APPLY_3D_COMPLEX: updateState(); return; } } /** * 3D implementation of {@code prependRotation} for 180 degrees rotation * around Z axis. * Behaves wrong when called for a 2D transform. */ private void preRotate3D_180() { final double mxx = getMxx(); final double myy = getMyy(); setMxx(-mxx); setMyy(-myy); setTx(-getTx()); setTy(-getTy()); if (state3d == APPLY_3D_COMPLEX) { setMxy(-getMxy()); setMxz(-getMxz()); setMyx(-getMyx()); setMyz(-getMyz()); updateState(); return; } if (mxx == -1.0 && myy == -1.0 && getMzz() == 1.0) { // must have been 3d because of translation, which remained state3d &= ~APPLY_SCALE; } else { state3d |= APPLY_SCALE; } } /** * 3D implementation of {@code prependRotation} for 270 degrees rotation * around Z axis. * Behaves wrong when called for a 2D transform. */ private void preRotate3D_270() { double M0 = getMxx(); setMxx(getMyx()); setMyx(-M0); M0 = getMxy(); setMxy(getMyy()); setMyy(-M0); M0 = getMxz(); setMxz(getMyz()); setMyz(-M0); M0 = getTx(); setTx(getTy()); setTy(-M0); switch(state3d) { default: stateError(); // cannot reach case APPLY_TRANSLATE: state3d = APPLY_3D_COMPLEX; return; case APPLY_SCALE: case APPLY_SCALE | APPLY_TRANSLATE: if (getMxy() != 0.0 || getMyx() != 0.0) { state3d = APPLY_3D_COMPLEX; } return; case APPLY_3D_COMPLEX: updateState(); return; } } /* ************************************************************************* * * * Transform, Inverse Transform * * * **************************************************************************/ @Override public Point2D transform(double x, double y) { ensureCanTransform2DPoint(); switch (state2d) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: return new Point2D( getMxx() * x + getMxy() * y + getTx(), getMyx() * x + getMyy() * y + getTy()); case APPLY_SHEAR | APPLY_SCALE: return new Point2D( getMxx() * x + getMxy() * y, getMyx() * x + getMyy() * y); case APPLY_SHEAR | APPLY_TRANSLATE: return new Point2D( getMxy() * y + getTx(), getMyx() * x + getTy()); case APPLY_SHEAR: return new Point2D(getMxy() * y, getMyx() * x); case APPLY_SCALE | APPLY_TRANSLATE: return new Point2D( getMxx() * x + getTx(), getMyy() * y + getTy()); case APPLY_SCALE: return new Point2D(getMxx() * x, getMyy() * y); case APPLY_TRANSLATE: return new Point2D(x + getTx(), y + getTy()); case APPLY_IDENTITY: return new Point2D(x, y); } } @Override public Point3D transform(double x, double y, double z) { switch (state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: switch (state2d) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: return new Point3D( getMxx() * x + getMxy() * y + getTx(), getMyx() * x + getMyy() * y + getTy(), z); case APPLY_SHEAR | APPLY_SCALE: return new Point3D( getMxx() * x + getMxy() * y, getMyx() * x + getMyy() * y, z); case APPLY_SHEAR | APPLY_TRANSLATE: return new Point3D( getMxy() * y + getTx(), getMyx() * x + getTy(), z); case APPLY_SHEAR: return new Point3D(getMxy() * y, getMyx() * x, z); case APPLY_SCALE | APPLY_TRANSLATE: return new Point3D( getMxx() * x + getTx(), getMyy() * y + getTy(), z); case APPLY_SCALE: return new Point3D(getMxx() * x, getMyy() * y, z); case APPLY_TRANSLATE: return new Point3D(x + getTx(), y + getTy(), z); case APPLY_IDENTITY: return new Point3D(x, y, z); } case APPLY_TRANSLATE: return new Point3D(x + getTx(), y + getTy(), z + getTz()); case APPLY_SCALE: return new Point3D(getMxx() * x, getMyy() * y, getMzz() * z); case APPLY_SCALE | APPLY_TRANSLATE: return new Point3D( getMxx() * x + getTx(), getMyy() * y + getTy(), getMzz() * z + getTz()); case APPLY_3D_COMPLEX: return new Point3D( getMxx() * x + getMxy() * y + getMxz() * z + getTx(), getMyx() * x + getMyy() * y + getMyz() * z + getTy(), getMzx() * x + getMzy() * y + getMzz() * z + getTz()); } } @Override void transform2DPointsImpl(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts) { double mxx, mxy, tx, myx, myy, ty; switch (state2d) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: mxx = getMxx(); mxy = getMxy(); tx = getTx(); myx = getMyx(); myy = getMyy(); ty = getTy(); while (--numPts >= 0) { final double x = srcPts[srcOff++]; final double y = srcPts[srcOff++]; dstPts[dstOff++] = mxx * x + mxy * y + tx; dstPts[dstOff++] = myx * x + myy * y + ty; } return; case APPLY_SHEAR | APPLY_SCALE: mxx = getMxx(); mxy = getMxy(); myx = getMyx(); myy = getMyy(); while (--numPts >= 0) { final double x = srcPts[srcOff++]; final double y = srcPts[srcOff++]; dstPts[dstOff++] = mxx * x + mxy * y; dstPts[dstOff++] = myx * x + myy * y; } return; case APPLY_SHEAR | APPLY_TRANSLATE: mxy = getMxy(); tx = getTx(); myx = getMyx(); ty = getTy(); while (--numPts >= 0) { final double x = srcPts[srcOff++]; dstPts[dstOff++] = mxy * srcPts[srcOff++] + tx; dstPts[dstOff++] = myx * x + ty; } return; case APPLY_SHEAR: mxy = getMxy(); myx = getMyx(); while (--numPts >= 0) { final double x = srcPts[srcOff++]; dstPts[dstOff++] = mxy * srcPts[srcOff++]; dstPts[dstOff++] = myx * x; } return; case APPLY_SCALE | APPLY_TRANSLATE: mxx = getMxx(); tx = getTx(); myy = getMyy(); ty = getTy(); while (--numPts >= 0) { dstPts[dstOff++] = mxx * srcPts[srcOff++] + tx; dstPts[dstOff++] = myy * srcPts[srcOff++] + ty; } return; case APPLY_SCALE: mxx = getMxx(); myy = getMyy(); while (--numPts >= 0) { dstPts[dstOff++] = mxx * srcPts[srcOff++]; dstPts[dstOff++] = myy * srcPts[srcOff++]; } return; case APPLY_TRANSLATE: tx = getTx(); ty = getTy(); while (--numPts >= 0) { dstPts[dstOff++] = srcPts[srcOff++] + tx; dstPts[dstOff++] = srcPts[srcOff++] + ty; } return; case APPLY_IDENTITY: if (srcPts != dstPts || srcOff != dstOff) { System.arraycopy(srcPts, srcOff, dstPts, dstOff, numPts * 2); } return; } } @Override void transform3DPointsImpl(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts) { double mxx, mxy, tx, myx, myy, ty, mzz, tz; switch(state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: switch (state2d) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: mxx = getMxx(); mxy = getMxy(); tx = getTx(); myx = getMyx(); myy = getMyy(); ty = getTy(); while (--numPts >= 0) { final double x = srcPts[srcOff++]; final double y = srcPts[srcOff++]; dstPts[dstOff++] = mxx * x + mxy * y + tx; dstPts[dstOff++] = myx * x + myy * y + ty; dstPts[dstOff++] = srcPts[srcOff++]; } return; case APPLY_SHEAR | APPLY_SCALE: mxx = getMxx(); mxy = getMxy(); myx = getMyx(); myy = getMyy(); while (--numPts >= 0) { final double x = srcPts[srcOff++]; final double y = srcPts[srcOff++]; dstPts[dstOff++] = mxx * x + mxy * y; dstPts[dstOff++] = myx * x + myy * y; dstPts[dstOff++] = srcPts[srcOff++]; } return; case APPLY_SHEAR | APPLY_TRANSLATE: mxy = getMxy(); tx = getTx(); myx = getMyx(); ty = getTy(); while (--numPts >= 0) { final double x = srcPts[srcOff++]; dstPts[dstOff++] = mxy * srcPts[srcOff++] + tx; dstPts[dstOff++] = myx * x + ty; dstPts[dstOff++] = srcPts[srcOff++]; } return; case APPLY_SHEAR: mxy = getMxy(); myx = getMyx(); while (--numPts >= 0) { final double x = srcPts[srcOff++]; dstPts[dstOff++] = mxy * srcPts[srcOff++]; dstPts[dstOff++] = myx * x; dstPts[dstOff++] = srcPts[srcOff++]; } return; case APPLY_SCALE | APPLY_TRANSLATE: mxx = getMxx(); tx = getTx(); myy = getMyy(); ty = getTy(); while (--numPts >= 0) { dstPts[dstOff++] = mxx * srcPts[srcOff++] + tx; dstPts[dstOff++] = myy * srcPts[srcOff++] + ty; dstPts[dstOff++] = srcPts[srcOff++]; } return; case APPLY_SCALE: mxx = getMxx(); myy = getMyy(); while (--numPts >= 0) { dstPts[dstOff++] = mxx * srcPts[srcOff++]; dstPts[dstOff++] = myy * srcPts[srcOff++]; dstPts[dstOff++] = srcPts[srcOff++]; } return; case APPLY_TRANSLATE: tx = getTx(); ty = getTy(); while (--numPts >= 0) { dstPts[dstOff++] = srcPts[srcOff++] + tx; dstPts[dstOff++] = srcPts[srcOff++] + ty; dstPts[dstOff++] = srcPts[srcOff++]; } return; case APPLY_IDENTITY: if (srcPts != dstPts || srcOff != dstOff) { System.arraycopy(srcPts, srcOff, dstPts, dstOff, numPts * 3); } return; } // cannot reach case APPLY_TRANSLATE: tx = getTx(); ty = getTy(); tz = getTz(); while (--numPts >= 0) { dstPts[dstOff++] = srcPts[srcOff++] + tx; dstPts[dstOff++] = srcPts[srcOff++] + ty; dstPts[dstOff++] = srcPts[srcOff++] + tz; } return; case APPLY_SCALE: mxx = getMxx(); myy = getMyy(); mzz = getMzz(); while (--numPts >= 0) { dstPts[dstOff++] = mxx * srcPts[srcOff++]; dstPts[dstOff++] = myy * srcPts[srcOff++]; dstPts[dstOff++] = mzz * srcPts[srcOff++]; } return; case APPLY_SCALE | APPLY_TRANSLATE: mxx = getMxx(); tx = getTx(); myy = getMyy(); ty = getTy(); mzz = getMzz(); tz = getTz(); while (--numPts >= 0) { dstPts[dstOff++] = mxx * srcPts[srcOff++] + tx; dstPts[dstOff++] = myy * srcPts[srcOff++] + ty; dstPts[dstOff++] = mzz * srcPts[srcOff++] + tz; } return; case APPLY_3D_COMPLEX: mxx = getMxx(); mxy = getMxy(); double mxz = getMxz(); tx = getTx(); myx = getMyx(); myy = getMyy(); double myz = getMyz(); ty = getTy(); double mzx = getMzx(); double mzy = getMzy(); mzz = getMzz(); tz = getTz(); while (--numPts >= 0) { final double x = srcPts[srcOff++]; final double y = srcPts[srcOff++]; final double z = srcPts[srcOff++]; dstPts[dstOff++] = mxx * x + mxy * y + mxz * z + tx; dstPts[dstOff++] = myx * x + myy * y + myz * z + ty; dstPts[dstOff++] = mzx * x + mzy * y + mzz * z + tz; } return; } } @Override public Point2D deltaTransform(double x, double y) { ensureCanTransform2DPoint(); switch (state2d) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SHEAR | APPLY_SCALE: return new Point2D( getMxx() * x + getMxy() * y, getMyx() * x + getMyy() * y); case APPLY_SHEAR | APPLY_TRANSLATE: case APPLY_SHEAR: return new Point2D(getMxy() * y, getMyx() * x); case APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SCALE: return new Point2D(getMxx() * x, getMyy() * y); case APPLY_TRANSLATE: case APPLY_IDENTITY: return new Point2D(x, y); } } @Override public Point3D deltaTransform(double x, double y, double z) { switch (state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: switch (state2d) { default: stateError(); // cannot reach case APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SHEAR | APPLY_SCALE: return new Point3D( getMxx() * x + getMxy() * y, getMyx() * x + getMyy() * y, z); case APPLY_SHEAR | APPLY_TRANSLATE: case APPLY_SHEAR: return new Point3D(getMxy() * y, getMyx() * x, z); case APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SCALE: return new Point3D(getMxx() * x, getMyy() * y, z); case APPLY_TRANSLATE: case APPLY_IDENTITY: return new Point3D(x, y, z); } case APPLY_TRANSLATE: return new Point3D(x, y, z); case APPLY_SCALE: case APPLY_SCALE | APPLY_TRANSLATE: return new Point3D(getMxx() * x, getMyy() * y, getMzz() * z); case APPLY_3D_COMPLEX: return new Point3D( getMxx() * x + getMxy() * y + getMxz() * z, getMyx() * x + getMyy() * y + getMyz() * z, getMzx() * x + getMzy() * y + getMzz() * z); } } @Override public Point2D inverseTransform(double x, double y) throws NonInvertibleTransformException { ensureCanTransform2DPoint(); switch (state2d) { default: return super.inverseTransform(x, y); case APPLY_SHEAR | APPLY_TRANSLATE: final double mxy_st = getMxy(); final double myx_st = getMyx(); if (mxy_st == 0.0 || myx_st == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } return new Point2D( (1.0 / myx_st) * y - getTy() / myx_st, (1.0 / mxy_st) * x - getTx() / mxy_st); case APPLY_SHEAR: final double mxy_s = getMxy(); final double myx_s = getMyx(); if (mxy_s == 0.0 || myx_s == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } return new Point2D((1.0 / myx_s) * y, (1.0 / mxy_s) * x); case APPLY_SCALE | APPLY_TRANSLATE: final double mxx_st = getMxx(); final double myy_st = getMyy(); if (mxx_st == 0.0 || myy_st == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } return new Point2D( (1.0 / mxx_st) * x - getTx() / mxx_st, (1.0 / myy_st) * y - getTy() / myy_st); case APPLY_SCALE: final double mxx_s = getMxx(); final double myy_s = getMyy(); if (mxx_s == 0.0 || myy_s == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } return new Point2D((1.0 / mxx_s) * x, (1.0 / myy_s) * y); case APPLY_TRANSLATE: return new Point2D(x - getTx(), y - getTy()); case APPLY_IDENTITY: return new Point2D(x, y); } } @Override public Point3D inverseTransform(double x, double y, double z) throws NonInvertibleTransformException { switch(state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: switch (state2d) { default: return super.inverseTransform(x, y, z); case APPLY_SHEAR | APPLY_TRANSLATE: final double mxy_st = getMxy(); final double myx_st = getMyx(); if (mxy_st == 0.0 || myx_st == 0.0) { throw new NonInvertibleTransformException( "Determinant is 0"); } return new Point3D( (1.0 / myx_st) * y - getTy() / myx_st, (1.0 / mxy_st) * x - getTx() / mxy_st, z); case APPLY_SHEAR: final double mxy_s = getMxy(); final double myx_s = getMyx(); if (mxy_s == 0.0 || myx_s == 0.0) { throw new NonInvertibleTransformException( "Determinant is 0"); } return new Point3D( (1.0 / myx_s) * y, (1.0 / mxy_s) * x, z); case APPLY_SCALE | APPLY_TRANSLATE: final double mxx_st = getMxx(); final double myy_st = getMyy(); if (mxx_st == 0.0 || myy_st == 0.0) { throw new NonInvertibleTransformException( "Determinant is 0"); } return new Point3D( (1.0 / mxx_st) * x - getTx() / mxx_st, (1.0 / myy_st) * y - getTy() / myy_st, z); case APPLY_SCALE: final double mxx_s = getMxx(); final double myy_s = getMyy(); if (mxx_s == 0.0 || myy_s == 0.0) { throw new NonInvertibleTransformException( "Determinant is 0"); } return new Point3D((1.0 / mxx_s) * x, (1.0 / myy_s) * y, z); case APPLY_TRANSLATE: return new Point3D(x - getTx(), y - getTy(), z); case APPLY_IDENTITY: return new Point3D(x, y, z); } case APPLY_TRANSLATE: return new Point3D(x - getTx(), y - getTy(), z - getTz()); case APPLY_SCALE: final double mxx_s = getMxx(); final double myy_s = getMyy(); final double mzz_s = getMzz(); if (mxx_s == 0.0 || myy_s == 0.0 || mzz_s == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } return new Point3D( (1.0 / mxx_s) * x, (1.0 / myy_s) * y, (1.0 / mzz_s) * z); case APPLY_SCALE | APPLY_TRANSLATE: final double mxx_st = getMxx(); final double myy_st = getMyy(); final double mzz_st = getMzz(); if (mxx_st == 0.0 || myy_st == 0.0 || mzz_st == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } return new Point3D( (1.0 / mxx_st) * x - getTx() / mxx_st, (1.0 / myy_st) * y - getTy() / myy_st, (1.0 / mzz_st) * z - getTz() / mzz_st); case APPLY_3D_COMPLEX: return super.inverseTransform(x, y, z); } } @Override void inverseTransform2DPointsImpl(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts) throws NonInvertibleTransformException { double mxx, mxy, tx, myx, myy, ty, tmp; switch (state2d) { default: super.inverseTransform2DPointsImpl(srcPts, srcOff, dstPts, dstOff, numPts); return; case APPLY_SHEAR | APPLY_TRANSLATE: mxy = getMxy(); tx = getTx(); myx = getMyx(); ty = getTy(); if (mxy == 0.0 || myx == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } tmp = tx; tx = -ty / myx; ty = -tmp / mxy; tmp = myx; myx = 1.0 / mxy; mxy = 1.0 / tmp; while (--numPts >= 0) { final double x = srcPts[srcOff++]; dstPts[dstOff++] = mxy * srcPts[srcOff++] + tx; dstPts[dstOff++] = myx * x + ty; } return; case APPLY_SHEAR: mxy = getMxy(); myx = getMyx(); if (mxy == 0.0 || myx == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } tmp = myx; myx = 1.0 / mxy; mxy = 1.0 / tmp; while (--numPts >= 0) { final double x = srcPts[srcOff++]; dstPts[dstOff++] = mxy * srcPts[srcOff++]; dstPts[dstOff++] = myx * x; } return; case APPLY_SCALE | APPLY_TRANSLATE: mxx = getMxx(); tx = getTx(); myy = getMyy(); ty = getTy(); if (mxx == 0.0 || myy == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } tx = -tx / mxx; ty = -ty / myy; mxx = 1.0 / mxx; myy = 1.0 / myy; while (--numPts >= 0) { dstPts[dstOff++] = mxx * srcPts[srcOff++] + tx; dstPts[dstOff++] = myy * srcPts[srcOff++] + ty; } return; case APPLY_SCALE: mxx = getMxx(); myy = getMyy(); if (mxx == 0.0 || myy == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } mxx = 1.0 / mxx; myy = 1.0 / myy; while (--numPts >= 0) { dstPts[dstOff++] = mxx * srcPts[srcOff++]; dstPts[dstOff++] = myy * srcPts[srcOff++]; } return; case APPLY_TRANSLATE: tx = getTx(); ty = getTy(); while (--numPts >= 0) { dstPts[dstOff++] = srcPts[srcOff++] - tx; dstPts[dstOff++] = srcPts[srcOff++] - ty; } return; case APPLY_IDENTITY: if (srcPts != dstPts || srcOff != dstOff) { System.arraycopy(srcPts, srcOff, dstPts, dstOff, numPts * 2); } return; } } @Override void inverseTransform3DPointsImpl(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts) throws NonInvertibleTransformException { double mxx, mxy, tx, myx, myy, ty, mzz, tz, tmp; switch (state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: switch (state2d) { default: super.inverseTransform3DPointsImpl(srcPts, srcOff, dstPts, dstOff, numPts); return; case APPLY_SHEAR | APPLY_TRANSLATE: mxy = getMxy(); tx = getTx(); myx = getMyx(); ty = getTy(); if (mxy == 0.0 || myx == 0.0) { throw new NonInvertibleTransformException( "Determinant is 0"); } tmp = tx; tx = -ty / myx; ty = -tmp / mxy; tmp = myx; myx = 1.0 / mxy; mxy = 1.0 / tmp; while (--numPts >= 0) { final double x = srcPts[srcOff++]; dstPts[dstOff++] = mxy * srcPts[srcOff++] + tx; dstPts[dstOff++] = myx * x + ty; dstPts[dstOff++] = srcPts[srcOff++]; } return; case APPLY_SHEAR: mxy = getMxy(); myx = getMyx(); if (mxy == 0.0 || myx == 0.0) { throw new NonInvertibleTransformException( "Determinant is 0"); } tmp = myx; myx = 1.0 / mxy; mxy = 1.0 / tmp; while (--numPts >= 0) { final double x = srcPts[srcOff++]; dstPts[dstOff++] = mxy * srcPts[srcOff++]; dstPts[dstOff++] = myx * x; dstPts[dstOff++] = srcPts[srcOff++]; } return; case APPLY_SCALE | APPLY_TRANSLATE: mxx = getMxx(); tx = getTx(); myy = getMyy(); ty = getTy(); if (mxx == 0.0 || myy == 0.0) { throw new NonInvertibleTransformException( "Determinant is 0"); } tx = -tx / mxx; ty = -ty / myy; mxx = 1.0 / mxx; myy = 1.0 / myy; while (--numPts >= 0) { dstPts[dstOff++] = mxx * srcPts[srcOff++] + tx; dstPts[dstOff++] = myy * srcPts[srcOff++] + ty; dstPts[dstOff++] = srcPts[srcOff++]; } return; case APPLY_SCALE: mxx = getMxx(); myy = getMyy(); if (mxx == 0.0 || myy == 0.0) { throw new NonInvertibleTransformException( "Determinant is 0"); } mxx = 1.0 / mxx; myy = 1.0 / myy; while (--numPts >= 0) { dstPts[dstOff++] = mxx * srcPts[srcOff++]; dstPts[dstOff++] = myy * srcPts[srcOff++]; dstPts[dstOff++] = srcPts[srcOff++]; } return; case APPLY_TRANSLATE: tx = getTx(); ty = getTy(); while (--numPts >= 0) { dstPts[dstOff++] = srcPts[srcOff++] - tx; dstPts[dstOff++] = srcPts[srcOff++] - ty; dstPts[dstOff++] = srcPts[srcOff++]; } return; case APPLY_IDENTITY: if (srcPts != dstPts || srcOff != dstOff) { System.arraycopy(srcPts, srcOff, dstPts, dstOff, numPts * 3); } return; } // cannot reach case APPLY_TRANSLATE: tx = getTx(); ty = getTy(); tz = getTz(); while (--numPts >= 0) { dstPts[dstOff++] = srcPts[srcOff++] - tx; dstPts[dstOff++] = srcPts[srcOff++] - ty; dstPts[dstOff++] = srcPts[srcOff++] - tz; } return; case APPLY_SCALE: mxx = getMxx(); myy = getMyy(); mzz = getMzz(); if (mxx == 0.0 || myy == 0.0 | mzz == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } mxx = 1.0 / mxx; myy = 1.0 / myy; mzz = 1.0 / mzz; while (--numPts >= 0) { dstPts[dstOff++] = mxx * srcPts[srcOff++]; dstPts[dstOff++] = myy * srcPts[srcOff++]; dstPts[dstOff++] = mzz * srcPts[srcOff++]; } return; case APPLY_SCALE | APPLY_TRANSLATE: mxx = getMxx(); tx = getTx(); myy = getMyy(); ty = getTy(); mzz = getMzz(); tz = getTz(); if (mxx == 0.0 || myy == 0.0 || mzz == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } tx = -tx / mxx; ty = -ty / myy; tz = -tz / mzz; mxx = 1.0 / mxx; myy = 1.0 / myy; mzz = 1.0 / mzz; while (--numPts >= 0) { dstPts[dstOff++] = mxx * srcPts[srcOff++] + tx; dstPts[dstOff++] = myy * srcPts[srcOff++] + ty; dstPts[dstOff++] = mzz * srcPts[srcOff++] + tz; } return; case APPLY_3D_COMPLEX: super.inverseTransform3DPointsImpl(srcPts, srcOff, dstPts, dstOff, numPts); return; } } @Override public Point2D inverseDeltaTransform(double x, double y) throws NonInvertibleTransformException { ensureCanTransform2DPoint(); switch (state2d) { default: return super.inverseDeltaTransform(x, y); case APPLY_SHEAR | APPLY_TRANSLATE: case APPLY_SHEAR: final double mxy_s = getMxy(); final double myx_s = getMyx(); if (mxy_s == 0.0 || myx_s == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } return new Point2D((1.0 / myx_s) * y, (1.0 / mxy_s) * x); case APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SCALE: final double mxx_s = getMxx(); final double myy_s = getMyy(); if (mxx_s == 0.0 || myy_s == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } return new Point2D((1.0 / mxx_s) * x, (1.0 / myy_s) * y); case APPLY_TRANSLATE: case APPLY_IDENTITY: return new Point2D(x, y); } } @Override public Point3D inverseDeltaTransform(double x, double y, double z) throws NonInvertibleTransformException { switch(state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: switch (state2d) { default: return super.inverseDeltaTransform(x, y, z); case APPLY_SHEAR | APPLY_TRANSLATE: case APPLY_SHEAR: final double mxy_s = getMxy(); final double myx_s = getMyx(); if (mxy_s == 0.0 || myx_s == 0.0) { throw new NonInvertibleTransformException( "Determinant is 0"); } return new Point3D( (1.0 / myx_s) * y, (1.0 / mxy_s) * x, z); case APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SCALE: final double mxx_s = getMxx(); final double myy_s = getMyy(); if (mxx_s == 0.0 || myy_s == 0.0) { throw new NonInvertibleTransformException( "Determinant is 0"); } return new Point3D( (1.0 / mxx_s) * x, (1.0 / myy_s) * y, z); case APPLY_TRANSLATE: case APPLY_IDENTITY: return new Point3D(x, y, z); } case APPLY_TRANSLATE: return new Point3D(x, y, z); case APPLY_SCALE | APPLY_TRANSLATE: case APPLY_SCALE: final double mxx_s = getMxx(); final double myy_s = getMyy(); final double mzz_s = getMzz(); if (mxx_s == 0.0 || myy_s == 0.0 || mzz_s == 0.0) { throw new NonInvertibleTransformException("Determinant is 0"); } return new Point3D( (1.0 / mxx_s) * x, (1.0 / myy_s) * y, (1.0 / mzz_s) * z); case APPLY_3D_COMPLEX: return super.inverseDeltaTransform(x, y, z); } } /* ************************************************************************* * * * Other API * * * **************************************************************************/ /** * Returns a string representation of this {@code Affine} object. * @return a string representation of this {@code Affine} object. */ @Override public String toString() { final StringBuilder sb = new StringBuilder("Affine [\n"); sb.append("\t").append(getMxx()); sb.append(", ").append(getMxy()); sb.append(", ").append(getMxz()); sb.append(", ").append(getTx()); sb.append('\n'); sb.append("\t").append(getMyx()); sb.append(", ").append(getMyy()); sb.append(", ").append(getMyz()); sb.append(", ").append(getTy()); sb.append('\n'); sb.append("\t").append(getMzx()); sb.append(", ").append(getMzy()); sb.append(", ").append(getMzz()); sb.append(", ").append(getTz()); return sb.append("\n]").toString(); } /* ************************************************************************* * * * Internal implementation stuff * * * **************************************************************************/ /** * Manually recalculates the state of the transform when the matrix * changes too much to predict the effects on the state. * The following tables specify what the various settings of the * state fields say about the values of the corresponding matrix * element fields. * *

state3d:

*
     *                     SCALE          TRANSLATE        OTHER ELEMENTS
     *                 mxx, myy, mzz      tx, ty, tz       all remaining
     *
     * TRANSLATE (TR)       1.0           not all 0.0           0.0
     * SCALE (SC)       not all 1.0           0.0               0.0
     * TR | SC          not all 1.0       not all 0.0           0.0
     * 3D_COMPLEX           any               any            not all 0.0
     * NON_3D: mxz, myz, mzx, mzy, tz are 0.0, mzz is 1.0, for the rest
     *         see state2d
     * 
* *

state2d:

* Contains meaningful value only if state3d == APPLY_NON_3D. * Note that the rules governing the SCALE fields are slightly * different depending on whether the SHEAR flag is also set. *
     *                     SCALE            SHEAR          TRANSLATE
     *                    mxx/myy          mxy/myx           tx/ty
     *
     * IDENTITY             1.0              0.0              0.0
     * TRANSLATE (TR)       1.0              0.0          not both 0.0
     * SCALE (SC)       not both 1.0         0.0              0.0
     * TR | SC          not both 1.0         0.0          not both 0.0
     * SHEAR (SH)           0.0          not both 0.0         0.0
     * TR | SH              0.0          not both 0.0     not both 0.0
     * SC | SH          not both 0.0     not both 0.0         0.0
     * TR | SC | SH     not both 0.0     not both 0.0     not both 0.0
     * 
*/ private void updateState() { updateState2D(); state3d = APPLY_NON_3D; if (getMxz() != 0.0 || getMyz() != 0.0 || getMzx() != 0.0 || getMzy() != 0.0) { state3d = APPLY_3D_COMPLEX; } else { if ((state2d & APPLY_SHEAR) == 0) { if (getTz() != 0.0) { state3d |= APPLY_TRANSLATE; } if (getMzz() != 1.0) { state3d |= APPLY_SCALE; } if (state3d != APPLY_NON_3D) { state3d |= (state2d & (APPLY_SCALE | APPLY_TRANSLATE)); } } else { if (getMzz() != 1.0 || getTz() != 0.0) { state3d = APPLY_3D_COMPLEX; } } } } /** * 2D part of {@code updateState()}. It is sufficient to call this method * when we know this this a 2D transform and the operation was 2D-only * so it could not switch the transform to 3D. */ private void updateState2D() { if (getMxy() == 0.0 && getMyx() == 0.0) { if (getMxx() == 1.0 && getMyy() == 1.0) { if (getTx() == 0.0 && getTy() == 0.0) { state2d = APPLY_IDENTITY; } else { state2d = APPLY_TRANSLATE; } } else { if (getTx() == 0.0 && getTy() == 0.0) { state2d = APPLY_SCALE; } else { state2d = (APPLY_SCALE | APPLY_TRANSLATE); } } } else { if (getMxx() == 0.0 && getMyy() == 0.0) { if (getTx() == 0.0 && getTy() == 0.0) { state2d = APPLY_SHEAR; } else { state2d = (APPLY_SHEAR | APPLY_TRANSLATE); } } else { if (getTx() == 0.0 && getTy() == 0.0) { state2d = (APPLY_SHEAR | APPLY_SCALE); } else { state2d = (APPLY_SHEAR | APPLY_SCALE | APPLY_TRANSLATE); } } } } /** * Convenience method used internally to throw exceptions when * a case was forgotten in a switch statement. */ private static void stateError() { throw new InternalError("missing case in a switch"); } @Override void apply(final Affine3D trans) { trans.concatenate(getMxx(), getMxy(), getMxz(), getTx(), getMyx(), getMyy(), getMyz(), getTy(), getMzx(), getMzy(), getMzz(), getTz()); } @Override BaseTransform derive(final BaseTransform trans) { switch(state3d) { default: stateError(); // cannot reach case APPLY_NON_3D: switch(state2d) { case APPLY_IDENTITY: return trans; case APPLY_TRANSLATE: return trans.deriveWithTranslation(getTx(), getTy()); case APPLY_SCALE: return trans.deriveWithScale(getMxx(), getMyy(), 1.0); case APPLY_SCALE | APPLY_TRANSLATE: // fall through default: return trans.deriveWithConcatenation( getMxx(), getMyx(), getMxy(), getMyy(), getTx(), getTy()); } case APPLY_TRANSLATE: return trans.deriveWithTranslation(getTx(), getTy(), getTz()); case APPLY_SCALE: return trans.deriveWithScale(getMxx(), getMyy(), getMzz()); case APPLY_SCALE | APPLY_TRANSLATE: // fall through case APPLY_3D_COMPLEX: return trans.deriveWithConcatenation( getMxx(), getMxy(), getMxz(), getTx(), getMyx(), getMyy(), getMyz(), getTy(), getMzx(), getMzy(), getMzz(), getTz()); } } /** * Keeps track of the atomic changes of more elements. * Don't forget to end or cancel a running atomic operation * when an exception is to be thrown during one. */ private class AffineAtomicChange { private boolean running = false; private void start() { if (running) { throw new InternalError("Affine internal error: " + "trying to run inner atomic operation"); } if (mxx != null) mxx.preProcessAtomicChange(); if (mxy != null) mxy.preProcessAtomicChange(); if (mxz != null) mxz.preProcessAtomicChange(); if (tx != null) tx.preProcessAtomicChange(); if (myx != null) myx.preProcessAtomicChange(); if (myy != null) myy.preProcessAtomicChange(); if (myz != null) myz.preProcessAtomicChange(); if (ty != null) ty.preProcessAtomicChange(); if (mzx != null) mzx.preProcessAtomicChange(); if (mzy != null) mzy.preProcessAtomicChange(); if (mzz != null) mzz.preProcessAtomicChange(); if (tz != null) tz.preProcessAtomicChange(); running = true; } private void end() { running = false; transformChanged(); if (mxx != null) mxx.postProcessAtomicChange(); if (mxy != null) mxy.postProcessAtomicChange(); if (mxz != null) mxz.postProcessAtomicChange(); if (tx != null) tx.postProcessAtomicChange(); if (myx != null) myx.postProcessAtomicChange(); if (myy != null) myy.postProcessAtomicChange(); if (myz != null) myz.postProcessAtomicChange(); if (ty != null) ty.postProcessAtomicChange(); if (mzx != null) mzx.postProcessAtomicChange(); if (mzy != null) mzy.postProcessAtomicChange(); if (mzz != null) mzz.postProcessAtomicChange(); if (tz != null) tz.postProcessAtomicChange(); } private void cancel() { running = false; } private boolean runs() { return running; } } /** * Used only by tests to check the 2d matrix state */ int getState2d() { return state2d; } /** * Used only by tests to check the 3d matrix state */ int getState3d() { return state3d; } /** * Used only by tests to check the atomic operation state */ boolean atomicChangeRuns() { return atomicChange.runs(); } }




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