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 * Copyright (c) 2011, 2018, Oracle and/or its affiliates. All rights reserved.
 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
 *
 * This code is free software; you can redistribute it and/or modify it
 * under the terms of the GNU General Public License version 2 only, as
 * published by the Free Software Foundation.  Oracle designates this
 * particular file as subject to the "Classpath" exception as provided
 * by Oracle in the LICENSE file that accompanied this code.
 *
 * This code is distributed in the hope that it will be useful, but WITHOUT
 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
 * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
 * version 2 for more details (a copy is included in the LICENSE file that
 * accompanied this code).
 *
 * You should have received a copy of the GNU General Public License version
 * 2 along with this work; if not, write to the Free Software Foundation,
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 *
 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
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 */

package javafx.scene.transform;

import javafx.beans.property.DoubleProperty;
import javafx.beans.property.DoublePropertyBase;

import com.sun.javafx.geom.transform.Affine3D;
import com.sun.javafx.geom.transform.BaseTransform;
import javafx.geometry.Point2D;
import javafx.geometry.Point3D;


This class represents an Affine object that scales coordinates by the specified factors. The matrix representing the scaling transformation around a pivot point (pivotX, pivotY, pivotZ) with scaling factors x, y and z is as follows: 
             [   x   0   0   (1-x)*pivotX   ]
             [   0   y   0   (1-y)*pivotY   ]
             [   0   0   z   (1-z)*pivotZ   ]

Since:
JavaFX 2.0/**
 * This class represents an {@code Affine} object that scales coordinates
 * by the specified factors. The matrix representing the scaling transformation
 * around a pivot point {@code (pivotX, pivotY, pivotZ)} with scaling factors
 * {@code x}, {@code y} and {@code z} is as follows:
 * <pre>
 *              [   x   0   0   (1-x)*pivotX   ]
 *              [   0   y   0   (1-y)*pivotY   ]
 *              [   0   0   z   (1-z)*pivotZ   ]
 * </pre>
 * @since JavaFX 2.0
 */
public class Scale extends Transform {
    
Creates a default Scale (identity).
/**
     * Creates a default Scale (identity).
     */
    public Scale() {
    }

    
Creates a two-dimensional Scale.
The pivot point is set to (0,0)
Params:
x – the factor by which coordinates are scaled along the X axis
y – the factor by which coordinates are scaled along the Y axis/**
     * Creates a two-dimensional Scale.
     * The pivot point is set to (0,0)
     * @param x the factor by which coordinates are scaled along the X axis
     * @param y the factor by which coordinates are scaled along the Y axis
     */
    public Scale(double x, double y) {
        setX(x);
        setY(y);
    }

    
Creates a two-dimensional Scale with pivot.
Params:
x – the factor by which coordinates are scaled along the X axis
y – the factor by which coordinates are scaled along the Y axis
pivotX – the X coordinate about which point the scale occurs
pivotY – the Y coordinate about which point the scale occurs/**
     * Creates a two-dimensional Scale with pivot.
     * @param x the factor by which coordinates are scaled along the X axis
     * @param y the factor by which coordinates are scaled along the Y axis
     * @param pivotX the X coordinate about which point the scale occurs
     * @param pivotY the Y coordinate about which point the scale occurs
     */
    public Scale(double x, double y, double pivotX, double pivotY) {
        this(x, y);
        setPivotX(pivotX);
        setPivotY(pivotY);
    }

    
Creates a three-dimensional Scale.
The pivot point is set to (0,0,0)
Params:
x – the factor by which coordinates are scaled along the X axis
y – the factor by which coordinates are scaled along the Y axis
z – the factor by which coordinates are scaled along the Z axis/**
     * Creates a three-dimensional Scale.
     * The pivot point is set to (0,0,0)
     * @param x the factor by which coordinates are scaled along the X axis
     * @param y the factor by which coordinates are scaled along the Y axis
     * @param z the factor by which coordinates are scaled along the Z axis
     */
    public Scale(double x, double y, double z) {
        this(x, y);
        setZ(z);
    }

    
Creates a three-dimensional Scale with pivot.
Params:
x – the factor by which coordinates are scaled along the X axis
y – the factor by which coordinates are scaled along the Y axis
z – the factor by which coordinates are scaled along the Z axis
pivotX – the X coordinate about which point the scale occurs
pivotY – the Y coordinate about which point the scale occurs
pivotZ – the Z coordinate about which point the scale occurs/**
     * Creates a three-dimensional Scale with pivot.
     * @param x the factor by which coordinates are scaled along the X axis
     * @param y the factor by which coordinates are scaled along the Y axis
     * @param z the factor by which coordinates are scaled along the Z axis
     * @param pivotX the X coordinate about which point the scale occurs
     * @param pivotY the Y coordinate about which point the scale occurs
     * @param pivotZ the Z coordinate about which point the scale occurs
     */
    public Scale(double x, double y, double z, double pivotX, double pivotY, double pivotZ) {
        this(x, y, pivotX, pivotY);
        setZ(z);
        setPivotZ(pivotZ);
    }

    
Defines the factor by which coordinates are scaled along the X axis direction. The default value is 1.0. /**
     * Defines the factor by which coordinates are scaled
     * along the X axis direction. The default value is {@code 1.0}.
     */
    private DoubleProperty x;


    public final void setX(double value) {
        xProperty().set(value);
    }

    public final double getX() {
        return x == null ? 1.0F : x.get();
    }

    public final DoubleProperty xProperty() {
        if (x == null) {
            x = new DoublePropertyBase(1.0F) {

                @Override
                public void invalidated() {
                    transformChanged();
                }

                @Override
                public Object getBean() {
                    return Scale.this;
                }

                @Override
                public String getName() {
                    return "x";
                }
            };
        }
        return x;
    }

    
Defines the factor by which coordinates are scaled along the Y axis direction. The default value is 1.0. /**
     * Defines the factor by which coordinates are scaled
     * along the Y axis direction. The default value is {@code 1.0}.
     */
    private DoubleProperty y;


    public final void setY(double value) {
        yProperty().set(value);
    }

    public final double getY() {
        return y == null ? 1.0F : y.get();
    }

    public final DoubleProperty yProperty() {
        if (y == null) {
            y = new DoublePropertyBase(1.0F) {

                @Override
                public void invalidated() {
                    transformChanged();
                }

                @Override
                public Object getBean() {
                    return Scale.this;
                }

                @Override
                public String getName() {
                    return "y";
                }
            };
        }
        return y;
    }

    
Defines the factor by which coordinates are scaled along the Z axis direction. The default value is 1.0. /**
     * Defines the factor by which coordinates are scaled
     * along the Z axis direction. The default value is {@code 1.0}.
     */
    private DoubleProperty z;


    public final void setZ(double value) {
        zProperty().set(value);
    }

    public final double getZ() {
        return z == null ? 1.0F : z.get();
    }

    public final DoubleProperty zProperty() {
        if (z == null) {
            z = new DoublePropertyBase(1.0F) {

                @Override
                public void invalidated() {
                    transformChanged();
                }

                @Override
                public Object getBean() {
                    return Scale.this;
                }

                @Override
                public String getName() {
                    return "z";
                }
            };
        }
        return z;
    }

    
Defines the X coordinate about which point the scale occurs.
@defaultValue
0.0/**
     * Defines the X coordinate about which point the scale occurs.
     *
     * @defaultValue 0.0
     */
    private DoubleProperty pivotX;


    public final void setPivotX(double value) {
        pivotXProperty().set(value);
    }

    public final double getPivotX() {
        return pivotX == null ? 0.0 : pivotX.get();
    }

    public final DoubleProperty pivotXProperty() {
        if (pivotX == null) {
            pivotX = new DoublePropertyBase() {

                @Override
                public void invalidated() {
                    transformChanged();
                }

                @Override
                public Object getBean() {
                    return Scale.this;
                }

                @Override
                public String getName() {
                    return "pivotX";
                }
            };
        }
        return pivotX;
    }

    
Defines the Y coordinate about which point the scale occurs.
@defaultValue
0.0/**
     * Defines the Y coordinate about which point the scale occurs.
     *
     * @defaultValue 0.0
     */
    private DoubleProperty pivotY;


    public final void setPivotY(double value) {
        pivotYProperty().set(value);
    }

    public final double getPivotY() {
        return pivotY == null ? 0.0 : pivotY.get();
    }

    public final DoubleProperty pivotYProperty() {
        if (pivotY == null) {
            pivotY = new DoublePropertyBase() {

                @Override
                public void invalidated() {
                    transformChanged();
                }

                @Override
                public Object getBean() {
                    return Scale.this;
                }

                @Override
                public String getName() {
                    return "pivotY";
                }
            };
        }
        return pivotY;
    }

    
Defines the Z coordinate about which point the scale occurs.
@defaultValue
0.0/**
     * Defines the Z coordinate about which point the scale occurs.
     *
     * @defaultValue 0.0
     */
    private DoubleProperty pivotZ;


    public final void setPivotZ(double value) {
        pivotZProperty().set(value);
    }

    public final double getPivotZ() {
        return pivotZ == null ? 0.0 : pivotZ.get();
    }

    public final DoubleProperty pivotZProperty() {
        if (pivotZ == null) {
            pivotZ = new DoublePropertyBase() {

                @Override
                public void invalidated() {
                    transformChanged();
                }

                @Override
                public Object getBean() {
                    return Scale.this;
                }

                @Override
                public String getName() {
                    return "pivotZ";
                }
            };
        }
        return pivotZ;
    }

    /* *************************************************************************
     *                                                                         *
     *                         Element getters                                 *
     *                                                                         *
     **************************************************************************/

    @Override
    public double getMxx() {
        return getX();
    }

    @Override
    public double getMyy() {
        return getY();
    }

    @Override
    public double getMzz() {
        return getZ();
    }

    @Override
    public double getTx() {
        return (1-getX()) * getPivotX();
    }

    @Override
    public double getTy() {
        return (1-getY()) * getPivotY();
    }

    @Override
    public double getTz() {
        return (1-getZ()) * getPivotZ();
    }

    /* *************************************************************************
     *                                                                         *
     *                           State getters                                 *
     *                                                                         *
     **************************************************************************/

    @Override
    boolean computeIs2D() {
        return getZ() == 1.0;
    }

    @Override
    boolean computeIsIdentity() {
        return getX() == 1.0 && getY() == 1.0 && getZ() == 1.0;
    }

    /* *************************************************************************
     *                                                                         *
     *                           Array getters                                 *
     *                                                                         *
     **************************************************************************/

    @Override
    void fill2DArray(double[] array) {
        final double sx = getX();
        final double sy = getY();

        array[0] = sx;
        array[1] = 0.0;
        array[2] = (1-sx) * getPivotX();
        array[3] = 0.0;
        array[4] = sy;
        array[5] = (1-sy) * getPivotY();
    }

    @Override
    void fill3DArray(double[] array) {
        final double sx = getX();
        final double sy = getY();
        final double sz = getZ();

        array[0] = sx;
        array[1] = 0.0;
        array[2] = 0.0;
        array[3] = (1-sx) * getPivotX();
        array[4] = 0.0;
        array[5] = sy;
        array[6] = 0.0;
        array[7] = (1-sy) * getPivotY();
        array[8] = 0.0;
        array[9] = 0.0;
        array[10] = sz;
        array[11] = (1-sz) * getPivotZ();
    }

    /* *************************************************************************
     *                                                                         *
     *                         Transform creators                              *
     *                                                                         *
     **************************************************************************/

    @Override
    public Transform createConcatenation(Transform transform) {
        final double sx = getX();
        final double sy = getY();
        final double sz = getZ();

        if (transform instanceof Scale) {
            final Scale other = (Scale) transform;
            if (other.getPivotX() == getPivotX()
                    && other.getPivotY() == getPivotY()
                    && other.getPivotZ() == getPivotZ()) {
                return new Scale(
                        sx * other.getX(),
                        sy * other.getY(),
                        sz * other.getZ(),
                        getPivotX(), getPivotY(), getPivotZ());
            }
        }

        if (transform instanceof Translate) {
            final Translate t = (Translate) transform;

            final double tx = t.getX();
            final double ty = t.getY();
            final double tz = t.getZ();

            if ((tx == 0.0 || (sx != 1.0 && sx != 0.0)) &&
                    (ty == 0.0 || (sy != 1.0 && sy != 0.0)) &&
                    (tz == 0.0 || (sz != 1.0 && sz != 0.0))) {
                return new Scale(
                        sx, sy, sz,
                        (sx != 1.0 ? sx * tx / (1 - sx) : 0) + getPivotX(),
                        (sy != 1.0 ? sy * ty / (1 - sy) : 0) + getPivotY(),
                        (sz != 1.0 ? sz * tz / (1 - sz) : 0) + getPivotZ());
            }
        }

        if (transform instanceof Affine) {
            Affine a = (Affine) transform.clone();
            a.prepend(this);
            return a;
        }

        final double txx = transform.getMxx();
        final double txy = transform.getMxy();
        final double txz = transform.getMxz();
        final double ttx = transform.getTx();
        final double tyx = transform.getMyx();
        final double tyy = transform.getMyy();
        final double tyz = transform.getMyz();
        final double tty = transform.getTy();
        final double tzx = transform.getMzx();
        final double tzy = transform.getMzy();
        final double tzz = transform.getMzz();
        final double ttz = transform.getTz();
        return new Affine(
                sx * txx, sx * txy, sx * txz, sx * ttx + (1 - sx) * getPivotX(),
                sy * tyx, sy * tyy, sy * tyz, sy * tty + (1 - sy) * getPivotY(),
                sz * tzx, sz * tzy, sz * tzz, sz * ttz + (1 - sz) * getPivotZ());
    }

    @Override
    public Scale createInverse() throws NonInvertibleTransformException {
        final double sx = getX();
        final double sy = getY();
        final double sz = getZ();

        if (sx == 0.0 || sy == 0.0 || sz == 0.0) {
            throw new NonInvertibleTransformException(
                    "Zero scale is not invertible");
        }

        return new Scale(1.0 / sx, 1.0 / sy, 1.0 / sz,
                getPivotX(), getPivotY(), getPivotZ());
    }

    @Override
    public Scale clone() {
        return new Scale(getX(), getY(), getZ(),
                getPivotX(), getPivotY(), getPivotZ());
    }

    /* *************************************************************************
     *                                                                         *
     *                     Transform, Inverse Transform                        *
     *                                                                         *
     **************************************************************************/

    @Override
    public Point2D transform(double x, double y) {
        ensureCanTransform2DPoint();

        final double mxx = getX();
        final double myy = getY();

        return new Point2D(
            mxx * x + (1 - mxx) * getPivotX(),
            myy * y + (1 - myy) * getPivotY());
    }

    @Override
    public Point3D transform(double x, double y, double z) {

        final double mxx = getX();
        final double myy = getY();
        final double mzz = getZ();

        return new Point3D(
            mxx * x + (1 - mxx) * getPivotX(),
            myy * y + (1 - myy) * getPivotY(),
            mzz * z + (1 - mzz) * getPivotZ());
    }

    @Override
    void transform2DPointsImpl(double[] srcPts, int srcOff,
            double[] dstPts, int dstOff, int numPts) {
        final double xx = getX();
        final double yy = getY();
        final double px = getPivotX();
        final double py = getPivotY();

        while (--numPts >= 0) {
            final double x = srcPts[srcOff++];
            final double y = srcPts[srcOff++];

            dstPts[dstOff++] = xx * x + (1 - xx) * px;
            dstPts[dstOff++] = yy * y + (1 - yy) * py;
        }
    }

    @Override
    void transform3DPointsImpl(double[] srcPts, int srcOff,
            double[] dstPts, int dstOff, int numPts) {
        final double xx = getX();
        final double yy = getY();
        final double zz = getZ();
        final double px = getPivotX();
        final double py = getPivotY();
        final double pz = getPivotZ();

        while (--numPts >= 0) {
            dstPts[dstOff++] = xx * srcPts[srcOff++] + (1 - xx) * px;
            dstPts[dstOff++] = yy * srcPts[srcOff++] + (1 - yy) * py;
            dstPts[dstOff++] = zz * srcPts[srcOff++] + (1 - zz) * pz;
        }
    }

    @Override
    public Point2D deltaTransform(double x, double y) {
        ensureCanTransform2DPoint();

        return new Point2D(
                getX() * x,
                getY() * y);
    }

    @Override
    public Point3D deltaTransform(double x, double y, double z) {
        return new Point3D(
                getX() * x,
                getY() * y,
                getZ() * z);
    }

    @Override
    public Point2D inverseTransform(double x, double y)
            throws NonInvertibleTransformException {
        ensureCanTransform2DPoint();

        final double sx = getX();
        final double sy = getY();

        if (sx == 0.0 || sy == 0.0) {
            throw new NonInvertibleTransformException(
                    "Zero scale is not invertible");
        }

        final double mxx = 1.0 / sx;
        final double myy = 1.0 / sy;

        return new Point2D(
            mxx * x + (1 - mxx) * getPivotX(),
            myy * y + (1 - myy) * getPivotY());
    }

    @Override
    public Point3D inverseTransform(double x, double y, double z)
            throws NonInvertibleTransformException {
        final double sx = getX();
        final double sy = getY();
        final double sz = getZ();

        if (sx == 0.0 || sy == 0.0 || sz == 0.0) {
            throw new NonInvertibleTransformException(
                    "Zero scale is not invertible");
        }

        final double mxx = 1.0 / sx;
        final double myy = 1.0 / sy;
        final double mzz = 1.0 / sz;

        return new Point3D(
            mxx * x + (1 - mxx) * getPivotX(),
            myy * y + (1 - myy) * getPivotY(),
            mzz * z + (1 - mzz) * getPivotZ());
    }

    @Override
    void inverseTransform2DPointsImpl(double[] srcPts, int srcOff,
            double[] dstPts, int dstOff, int numPts)
            throws NonInvertibleTransformException {
        final double sx = getX();
        final double sy = getY();

        if (sx == 0.0 || sy == 0.0) {
            throw new NonInvertibleTransformException(
                    "Zero scale is not invertible");
        }

        final double xx = 1.0 / sx;
        final double yy = 1.0 / sy;
        final double px = getPivotX();
        final double py = getPivotY();

        while (--numPts >= 0) {
            dstPts[dstOff++] = xx * srcPts[srcOff++] + (1 - xx) * px;
            dstPts[dstOff++] = yy * srcPts[srcOff++] + (1 - yy) * py;
        }
    }

    @Override
    void inverseTransform3DPointsImpl(double[] srcPts, int srcOff,
            double[] dstPts, int dstOff, int numPts)
            throws NonInvertibleTransformException {

        final double sx = getX();
        final double sy = getY();
        final double sz = getZ();

        if (sx == 0.0 || sy == 0.0 || sz == 0.0) {
            throw new NonInvertibleTransformException(
                    "Zero scale is not invertible");
        }

        final double xx = 1.0 / sx;
        final double yy = 1.0 / sy;
        final double zz = 1.0 / sz;
        final double px = getPivotX();
        final double py = getPivotY();
        final double pz = getPivotZ();

        while (--numPts >= 0) {
            dstPts[dstOff++] = xx * srcPts[srcOff++] + (1 - xx) * px;
            dstPts[dstOff++] = yy * srcPts[srcOff++] + (1 - yy) * py;
            dstPts[dstOff++] = zz * srcPts[srcOff++] + (1 - zz) * pz;
        }
    }

    @Override
    public Point2D inverseDeltaTransform(double x, double y)
            throws NonInvertibleTransformException {
        ensureCanTransform2DPoint();

        final double sx = getX();
        final double sy = getY();

        if (sx == 0.0 || sy == 0.0) {
            throw new NonInvertibleTransformException(
                    "Zero scale is not invertible");
        }

        return new Point2D(
            (1.0 / sx) * x,
            (1.0 / sy) * y);
    }

    @Override
    public Point3D inverseDeltaTransform(double x, double y, double z)
            throws NonInvertibleTransformException {

        final double sx = getX();
        final double sy = getY();
        final double sz = getZ();

        if (sx == 0.0 || sy == 0.0 || sz == 0.0) {
            throw new NonInvertibleTransformException(
                    "Zero scale is not invertible");
        }

        return new Point3D(
            (1.0 / sx) * x,
            (1.0 / sy) * y,
            (1.0 / sz) * z);
    }

    /* *************************************************************************
     *                                                                         *
     *                               Other API                                 *
     *                                                                         *
     **************************************************************************/

    
Returns a string representation of this Scale object. 
Returns:
a string representation of this Scale object./**
     * Returns a string representation of this {@code Scale} object.
     * @return a string representation of this {@code Scale} object.
     */
    @Override
    public String toString() {
        final StringBuilder sb = new StringBuilder("Scale [");

        sb.append("x=").append(getX());
        sb.append(", y=").append(getY());
        sb.append(", z=").append(getZ());
        sb.append(", pivotX=").append(getPivotX());
        sb.append(", pivotY=").append(getPivotY());
        sb.append(", pivotZ=").append(getPivotZ());

        return sb.append("]").toString();
    }

    /* *************************************************************************
     *                                                                         *
     *                    Internal implementation stuff                        *
     *                                                                         *
     **************************************************************************/

    @Override
    void apply(final Affine3D trans) {
        if (getPivotX() != 0 || getPivotY() != 0 || getPivotZ() != 0) {
            trans.translate(getPivotX(), getPivotY(), getPivotZ());
            trans.scale(getX(), getY(), getZ());
            trans.translate(-getPivotX(), -getPivotY(), -getPivotZ());
        } else {
            trans.scale(getX(), getY(), getZ());
        }
    }

    @Override
    BaseTransform derive(BaseTransform trans) {
        if (isIdentity()) {
            return trans;
        }
        if (getPivotX() != 0 || getPivotY() != 0 || getPivotZ() != 0) {
            trans = trans.deriveWithTranslation(getPivotX(), getPivotY(), getPivotZ());
            trans = trans.deriveWithScale(getX(), getY(), getZ());
            return trans.deriveWithTranslation(-getPivotX(), -getPivotY(), -getPivotZ());
        } else {
            return trans.deriveWithScale(getX(), getY(), getZ());
        }
    }

    @Override
    void validate() {
        getX(); getPivotX();
        getY(); getPivotY();
        getZ(); getPivotZ();
    }

    @Override
    void appendTo(Affine a) {
        a.appendScale(getX(), getY(), getZ(),
                getPivotX(), getPivotY(), getPivotZ());
    }

    @Override
    void prependTo(Affine a) {
        a.prependScale(getX(), getY(), getZ(),
                getPivotX(), getPivotY(), getPivotZ());
    }
}