Chapter 10 Exercise 13:
10.13 (Geometry: the MyRectangle2D class) Define the MyRectangle2D class that"
"contains:"
"■ Two double data fields named x and y that specify the center of the rec- tangle with getter and setter methods.
(Assume that the rectangle sides are parallel to x- or y- axes.)"
"■ The data fields width and height with getter and setter methods."
"■ A no-arg constructor that creates a default rectangle with (0, 0) for (x, y) and"
"1 for both width and height."
"■ A constructor that creates a rectangle with the specified x, y, width, and"
"height."
"■ A method getArea() that returns the area of the rectangle."
"■ A method getPerimeter() that returns the perimeter of the rectangle."
"■ A method contains(double x, double y) that returns true if the specified point (x, y) is inside this rectangle (see Figure 10.24a)."
"■ A method contains(MyRectangle2D r) that returns true if the specified rectangle is inside this rectangle (see Figure 10.24b)."
"■ A method overlaps(MyRectangle2D r) that returns true if the specified rectangle overlaps with this rectangle (see Figure 10.24c)."
*
"Draw the UML diagram for the class and then implement the class. Write a test"
"program that creates a MyRectangle2D object r1 (new MyRectangle2D(2, 2, 5.5, 4.9)), displays its area and perimeter, and displays the result of r1.contains(3, 3), r1.contains(new MyRectangle2D(4, 5, 10.5,"
"3.2)), and r1.overlaps(new MyRectangle2D(3, 5, 2.3, 5.4))."
10.13 (Geometry: the MyRectangle2D class) Define the MyRectangle2D class that"
"contains:"
"■ Two double data fields named x and y that specify the center of the rec- tangle with getter and setter methods.
(Assume that the rectangle sides are parallel to x- or y- axes.)"
"■ The data fields width and height with getter and setter methods."
"■ A no-arg constructor that creates a default rectangle with (0, 0) for (x, y) and"
"1 for both width and height."
"■ A constructor that creates a rectangle with the specified x, y, width, and"
"height."
"■ A method getArea() that returns the area of the rectangle."
"■ A method getPerimeter() that returns the perimeter of the rectangle."
"■ A method contains(double x, double y) that returns true if the specified point (x, y) is inside this rectangle (see Figure 10.24a)."
"■ A method contains(MyRectangle2D r) that returns true if the specified rectangle is inside this rectangle (see Figure 10.24b)."
"■ A method overlaps(MyRectangle2D r) that returns true if the specified rectangle overlaps with this rectangle (see Figure 10.24c)."
*
"Draw the UML diagram for the class and then implement the class. Write a test"
"program that creates a MyRectangle2D object r1 (new MyRectangle2D(2, 2, 5.5, 4.9)), displays its area and perimeter, and displays the result of r1.contains(3, 3), r1.contains(new MyRectangle2D(4, 5, 10.5,"
"3.2)), and r1.overlaps(new MyRectangle2D(3, 5, 2.3, 5.4))."
import javafx.scene.shape.Rectangle; public class MyRectangle2D extends GeometricObject { private static final int X = 0; private static final int Y = 1; public double centerX; public double centerY; public double width; public double height; public MyRectangle2D(double centerX, double centerY, double width, double height) { this.centerX = centerX; this.centerY = centerY; this.width = width; this.height = height; } public MyRectangle2D(MyPoint centerPoint, double width, double height) { this(centerPoint.x, centerPoint.y, width, height); } public MyRectangle2D(Rectangle rectangle) { this(rectangle.getX(), rectangle.getY(), rectangle.getWidth(), rectangle.getHeight()); } public MyRectangle2D() { this(0, 0, 1, 1); } public MyPoint getCenterP() { return new MyPoint(centerX, centerY); } public MyPoint getP1() { return new MyPoint(centerX - width / 2, centerY + height / 2); } public MyPoint getP2() { return new MyPoint(centerX + width / 2, centerY + height / 2); } public MyPoint getP3() { return new MyPoint(centerX - width / 2, centerY - height / 2); } public MyPoint getP4() { return new MyPoint(centerX + width / 2, centerY - height / 2); } public double getCenterX() { return centerX; } public void setCenterX(double centerX) { this.centerX = centerX; } public double getCenterY() { return centerY; } public void setCenterY(double centerY) { this.centerY = centerY; } public double getWidth() { return width; } public void setWidth(double width) { this.width = width; } public double getHeight() { return height; } public void setHeight(double height) { this.height = height; } /** returns the perimeter of the rectangle. **/ @Override public double getPerimeter() { return width * 2 + height * 2; } /** returns the area of the rectangle **/ @Override public double getArea() { return width * height; } public boolean contains(double x, double y) { // Get max X & Y double maxX = getMax(getP1().x, getP2().x, getP3().x, getP4().x); double maxY = getMax(getP1().y, getP2().y, getP3().y, getP4().y); // Get min X & Y double minX = getMin(getP1().x, getP2().x, getP3().x, getP4().x); double minY = getMin(getP1().y, getP2().y, getP3().y, getP4().y); if (x < minX || x > maxX || y < minY || y > maxY) return false; return true; } public boolean contains(MyRectangle2D r2) { double xDistance = (r2.centerX > centerX) ? r2.centerX - centerX : centerX - r2.centerX; double yDistance = (r2.centerY > centerY) ? r2.centerY - centerY : centerY - r2.centerY; // if the r2 is inside this rectangle // this is only valid if the rectangles are parallel return (xDistance <= (width - r2.width) / 2 && yDistance <= (height - r2.height) / 2); } public boolean overlaps(MyRectangle2D r2) { // subtract from the highest number double xDistance = (r2.centerX > centerX) ? r2.centerX - centerX : centerX - r2.centerX; double yDistance = (r2.centerY > centerY) ? r2.centerY - centerY : centerY - r2.centerY; // if the r2 overlaps this rectangle // this is only valid if the rectangles are parallel return (xDistance <= (width + r2.width) / 2 && yDistance <= (height + r2.height) / 2); } public static boolean r1OverLapsR2(Rectangle r1, Rectangle r2) { return r1.intersects(r2.getBoundsInLocal()) || r2.intersects(r1.getBoundsInLocal()); } public javafx.scene.shape.Rectangle getRectangle() { return new Rectangle(centerX, centerY, width, height); } public boolean contains(MyPoint[] points) { for (MyPoint p : points) { if (!contains(p)) return false; } return true; } public boolean contains(MyPoint point) { return contains(point.x, point.y); } public static MyRectangle2D getRectangle(double[][] points) { // find leftLowestPoint // find rightMostPoint // find the center from highest and lowest point // x distance = width // y distance = height MyPoint[] myPoints = new MyPoint[points.length]; for (int i = 0; i < points.length; i++) { myPoints[i] = new MyPoint(points[i][0], points[i][1]); } return getRectangle(myPoints); } public static MyRectangle2D getRectangle(MyPoint[] points) { MyPoint leftMost = getLeftMostPoint(points); MyPoint rightMost = getRighMostPoint(points); double width = Math.abs(rightMost.x - leftMost.x); MyPoint highest = getHighestPoint(points); MyPoint lowest = getLowestPoint(points); double height = Math.abs(highest.y - lowest.y); double centerX = highest.getCenterPoint(lowest).x; double centerY = leftMost.getCenterPoint(rightMost).y; return new MyRectangle2D(centerX, centerY, width, height); } private static MyPoint getLeftMostPoint(MyPoint[] points) { MyPoint leftMost = points[0]; for (int i = 0; i < points.length; i++) { if (leftMost.x > points[i].x) { leftMost = points[i]; } } return leftMost; } private static MyPoint getRighMostPoint(MyPoint[] points) { MyPoint rightMost = points[0]; for (int i = 0; i < points.length; i++) { if (rightMost.x < points[i].x) { rightMost = points[i]; } } return rightMost; } private static MyPoint getHighestPoint(MyPoint[] points) { MyPoint highest = points[0]; for (int i = 0; i < points.length; i++) { if (highest.y < points[i].y) { highest = points[i]; } } return highest; } private static MyPoint getLowestPoint(MyPoint[] points) { MyPoint lowest = points[0]; for (int i = 0; i < points.length; i++) { if (lowest.y > points[i].y) { lowest = points[i]; } } return lowest; } private double getMax(double... n) { double max = n[0]; for (int i = 1; i < n.length; i++) { if (max < n[i]) { max = n[i]; } } return max; } private double getMin(double... n) { double min = n[0]; for (int i = 1; i < n.length; i++) { if (min > n[i]) { min = n[i]; } } return min; } @Override public String toString() { return "MyRectangle2D{" + "centerX=" + centerX + ", centerY=" + centerY + ", width=" + width + ", height=" + height + '}'; } }
public class Exercise_13 { public static void main(String[] args) { MyRectangle2D r1 = new MyRectangle2D(2, 2, 5.5, 4.9); System.out.println("Point 1: " + r1.getP1().toString()); System.out.println("Point 2: " + r1.getP2().toString()); System.out.println("Point 3: " + r1.getP3().toString()); System.out.println("Point 4: " + r1.getP4().toString()); System.out.println("Center point: " + r1.getCenterP().toString()); System.out.println("\n\nArea = " + r1.getArea()); System.out.println("Perimeter = " + r1.getPerimeter()); System.out.println("Contains point 3,3: " + r1.contains(3,3)); System.out.println("Contains r2: " + r1.contains(new MyRectangle2D(4, 5, 10.5, 3.2))); System.out.println("r2 over laps this rectangle: " + r1.overlaps(new MyRectangle2D(3, 5, 2.3, 5.4))); } }
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