gann-cdf / graphics

import org.gannacademy.cdf.graphics.Drawable;

import org.gannacademy.cdf.graphics.DrawableException;

import org.gannacademy.cdf.graphics.ui.DrawingPanel;

import java.awt.*;

import java.awt.geom.AffineTransform;

import java.awt.geom.Path2D;

/**

 * <p>Draw an arbitrary path</p>

 *

 * <p><img src="doc-files/Path.png" alt="Path diagram"></p>

 *

 * <p>Paths are constructed from an arbitrary number of segments. Each segment is a {@link Line}, {@link QuadCurve}, or

 * {@link CubicCurve} drawn between the end point of the prior segment and new point. For example, in the diagram above,

 * the path is made of three segments:</p>

 *

 * <ol>

 * <li>A line from Point 1 to Point 2</li>

 * <li>A cubic curve from Point 2 to Point 3</li>

 * <li>A quadratic curve from Point 3 to Point 4</li>

 * </ol>

 *

 * <p>The path above could be drawn with the following sequence of instructions:</p>

 *

 * <pre>

 *   Path p = new Path();

 *   p.moveTo(20, 16); // Point 1

 *   p.lineTo(40, 140); // Point 2

 *   p.curveTo(

 *       100, 140, // first Bézier control point

 *       120, 127, // second Bézier control point

 *       120, 78 // Point 3

 *   );

 *   p.quadTo(

 *       120, 16; // quadratic control point

 *       220, 78 // Point 4

 *   );

 * </pre>

 *

 * <p>All paths start with empty geometry and are then built segment by segment using {@link #moveTo(double, double)},

 * {@link #lineTo(double, double)}, {@link #quadTo(double, double, double, double)}, and

 * {@link #curveTo(double, double, double, double, double, double)} methods to extend the existing geometry.</p>

 *

 * <p>Note that the first segment added to the path must be a {@link #moveTo(double, double)} instruction, to locate

 * the first point in the path. Additional {@link #moveTo(double, double)} calls may be made as the path is defined,

 * creating a discontinuous path.</p>

 *

 * <p>Paths are particularly complex (and therefore flexible and powerful!). As the underlying geometry of this object

 * is stored as a {@link Path2D}, it is worth perusing that documentation for information on details like approaches to

 * filling, stroking, or transforming paths. More detailed explanations of how the Bézier curve segments are computed

 * can be found in {@link QuadCurve} and {@link CubicCurve}.</p>

 *

 * @author <a href="https://github.com/gann-cdf/graphics/issues" target="_blank">Seth Battis</a>

 */

public class Path extends Drawable {

    /**

     * <p>Construct a path with empty geometry</p>

     *

     * @param drawingPanel on which to draw

     */

    }

    /**

     * <p>Construct a path with empty geometry and a winding rule</p>

     *

     * @param windingRule  The <a href="https://en.wikipedia.org/wiki/Nonzero-rule#/media/File:Even-odd_and_non-zero_winding_fill_rules.png">

     *                     winding rule</a> to determine how to fill the shape

     * @param drawingPanel on which to draw

     */

    public Path(int windingRule, DrawingPanel drawingPanel) {

        try {

            setShape(new Path2D.Double(windingRule));

            setDrawingPanel(drawingPanel);

        } catch (DrawableException e) {

        }

    }

    /**

     * <p>Construct a path with empty geometry, a winding rule and expected number of segments</p>

     *

     * <p>The path will expand to contain as many segments as are added to it, but setting the initial capacity to your best

     * guess gains some small amount of efficiency in reducing resizing operations.</p>

     *

     * @param windingRule     The <a href="https://en.wikipedia.org/wiki/Nonzero-rule#/media/File:Even-odd_and_non-zero_winding_fill_rules.png">

     *                        winding rule</a> to determine how to fill the shape

     * @param initialCapacity Anticipated number of segments

     * @param drawingPanel    on which to draw

     */

    public Path(int windingRule, int initialCapacity, DrawingPanel drawingPanel) {

        try {

            setShape(new Path2D.Double(windingRule, initialCapacity));

            setDrawingPanel(drawingPanel);

        } catch (DrawableException e) {

        }

    }

    /**

     * <p>Construct a path from {@link Shape} geometry and a transformation</p>

     *

     * @param shape          of underlying geometry

     * @param transformation to apply {@code shape} (i.e. scale, translation, rotation)

     * @param drawingPanel   on which to draw

     * @throws DrawableException If {@code shape} cannot be converted to a {@link Path2D} (a highly unlikely eventuality)

     */

    public Path(Shape shape, AffineTransform transformation, DrawingPanel drawingPanel) throws DrawableException {

        setShape(new Path2D.Double(shape, transformation));

        setDrawingPanel(drawingPanel);

    }

    /**

     * Underlying {@link Path2D} geometry

     *

     * @return Underlying {@link Path2D} geometry

     */

    protected Path2D getShapeAsPath() {

        return (Path2D) getShape();

    }

    @Override

    public void setShape(Shape shape) throws DrawableException {

        if (shape instanceof Path2D) {

            super.setShape(shape);

        } else {

            throw new DrawableException("Attempt to set Path's underlying shape to a non-Path2D instance");

        }

    }

    @Override

    public void setWidth(double width) {

        // translate to origin before scaling so that distance from origin is not _also_ scaled!

        double x = getX();

        transform(AffineTransform.getTranslateInstance(-x, 0));

        transform(AffineTransform.getScaleInstance(width / getWidth(), 1));

        transform(AffineTransform.getTranslateInstance(x, 0));

    }

    @Override

    public void setHeight(double height) {

        // translate to origin before scaling so that distance from origin is not _also_ scaled!

        double y = getY();

        transform(AffineTransform.getTranslateInstance(0, -y));

        transform(AffineTransform.getScaleInstance(1, height / getHeight()));

        transform(AffineTransform.getTranslateInstance(0, y));

    }

    /**

     * <p>Add a cubic curve segment to the path</p>

     *

     * <p><img src="doc-files/CubicCurve.png" alt="Cubic Curve diagram"></p>

     *

     * <p>The cubic Bézier curve starts at the current end point of the path and extends through two control points. For

     * more details on how cubic Bézier curves are computes, refer to {@link CubicCurve}.</p>

     *

     * @param ctrlX1 X-coordinate of first control point

     * @param ctrlY1 Y-coordinate of first control point

     * @param ctrlX2 X-coordinate of second control point

     * @param ctrlY2 Y-coordinate of second control point

     * @param x3     X-coordinate of end point

     * @param y3     Y-coordinate of end point

     */

    public void curveTo(double ctrlX1, double ctrlY1, double ctrlX2, double ctrlY2, double x3, double y3) {

        getShapeAsPath().curveTo(ctrlX1, ctrlY1, ctrlX2, ctrlY2, x3, y3);

    }

    /**

     * <p>Add a line segment to the path</p>

     *

     * <p><img src="doc-files/Line.png" alt="Line diagram"></p>

     *

     * <p>The line starts at the current end point of the path. For more details on drawing lines, refer to {@link Line}.</p>

     *

     * @param x coordinate of end point

     * @param y coordinate of end point

     */

    public void lineTo(double x, double y) {

        getShapeAsPath().lineTo(x, y);

    }

    @Override

    public void setLocation(double x, double y) {

        translate(x - getX(), y - getY());

    }

    /**

     * <p>Select a new starting point for subsequent path segments</p>

     *

     * <p>Path segments are defined relative to the end point of the previous segment. {@code moveTo()}

     * must be the first instruction to the path to set a starting point for following segments. This method can also

     * be used to define a discontinuous path.</p>

     *

     * @param x coordinate

     * @param y coordinate

     */

    public void moveTo(double x, double y) {

        getShapeAsPath().moveTo(x, y);

    }

    /**

     * <p>Add a quadratic Bézier curve segment to the path</p>

     *

     * <p><img src="doc-files/QuadCurve.png" alt="Quad Curve diagram"></p>

     *

     * <p>The quadratic Bézier curve segments starts at the end point of the previous path segment, through a control

     * point to the end point. For more information on computing quadratic Bézier curves, refer to {@link QuadCurve}.</p>

     *

     * @param ctrlX1 X-coordinate of control point

     * @param ctrlY1 Y-coordinate of control point

     * @param x2     X-coordinate of end point

     * @param y2     Y-coordinate of end point

     */

    public void quadTo(double ctrlX1, double ctrlY1, double x2, double y2) {

        getShapeAsPath().quadTo(ctrlX1, ctrlY1, x2, y2);

    }

    /**

     * <p>Close the path by drawing a straight line back to the starting point</p>

     */

    public void closePath() {

        getShapeAsPath().closePath();

    }

    /**

     * <p>Transform the path</p>

     *

     * <p>An "affine transformation" is one in which the spatial relationships of the points of the path are not changed

     * relative to each other — scale, translation, and rotation. Refer to {@link AffineTransform} for more

     * information.</p>

     *

     * @param transformation to be applied to the path

     */

    public void transform(AffineTransform transformation) {

        getShapeAsPath().transform(transformation);

    }

    /**

     * <p>Translate the shape from one location to another</p>

     *

     * <p><img src="doc-files/Path-translate.png" alt="Translation diagram"></p>

     *

     * <p>Note that {@code dx} and {@code dy} are the change in in X- and Y- coordinates, and are therefore relative to the current position of the shape, and not an absolute location. (To move a shape to an absolute location, use the {@link #setLocation(double x, double y)} method.)</p>

     *

     * @param dx Change in X-coordinates

     * @param dy Change in Y-coordinates

     */

    @Override

    public void translate(double dx, double dy) {

        transform(AffineTransform.getTranslateInstance(dx, dy));

    }

    /**

     * <p>Rotate the shape around an anchor point</p>

     *

     * <p><img src="doc-files/Path-rotate.png" alt="Rotation diagram"></p>

     *

     * @param theta   Angle (in radians) to rotate the shape

     * @param anchorX X-coordinate of anchor point

     * @param anchorY Y-coordinate of anchor point

     */

    public void rotate(double theta, double anchorX, double anchorY) {

        transform(AffineTransform.getRotateInstance(theta, anchorX, anchorY));

    }

    /**

     * <p>Rescale the shape by a factor along the X and Y axes</p>

     *

     * <p><img src="doc-files/Path-scale.png" alt="Scaling diagram"></p>

     *

     * <p>Note that scaling a shape scales not only its width and height dimensions, but also its position relative to

     * the origin: that is, its X and Y-coordinates are also scaled. This means that a shape whose top-left bounding

     * box X and Y-coordinates are not at the origin will have its location changed by the scaling transformation.</p>

     *

     * @param scaleFactorX Factor by which to scale the shape in the X direction (as a percentage of the width)

     * @param scaleFactorY Factor by which to scale the shape in the Y direction (as a percentage of the height);

     */

    public void scale(double scaleFactorX, double scaleFactorY) {

        transform(AffineTransform.getScaleInstance(scaleFactorX, scaleFactorY));

    }

    /**

     * <p>Shear the shape by a factor along the X and Y axes</p>

     *

     * <p><img src="doc-files/Path-shear.png" alt="Shearing diagram"></p>

     *

     * <p>Note that shearing a shape shears not only the relative positions of the shape vertices to each other, but

     * also the position of those vertices relative to the origin. This means that a shape whose top-left bounding box

     * X and Y-coordinates are not at the origin will have its location changed by the shearing transformation.</p>

     *

     * @param shearFactorX Factor by which to shear the shape in the X direction (as a percentage of the width)

     * @param shearFactorY Factor by which to shear the shape in the Y direction (as a percentage of the height)

     */

    public void shear(double shearFactorX, double shearFactorY) {

        transform(AffineTransform.getShearInstance(shearFactorX, shearFactorY));

    }

}