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Another common financial calculation computes the amount of money that one must invest so that a desired annuity, in terms of a regular withdrawal, can be paid. For example, you might decide that you need $5,000 per month at retirement and that you will need that amount for 20 years. The question is how much will you need to invest to secure that annuity The answer can be found using the following formula: Initial Investment = ((regWD * wdPerYear) / rateOfRet) * wdPerYear * numYears (1 (1 / (rateOfRet / wdPerYear + 1) )) where rateOfRet specifies the rate of return, regWD contains the desired regular withdrawal, wdPerYear specifies the number of withdrawals per year, and numYears specifies the length of the annuity in years. The Annuity applet shown here computes the initial investment required to produce the desired annuity. The applet produced by this program is shown in Figure 9-4.

As you ve seen over the last couple of examples, Objective-C uses two different types of objects. Class objects innately exist, and each represents one of the classes in your framework. They can be sent certain types of requests, such as a request to create a new object, by sending a message to the class name:

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You should always try to keep the game logic and graphics separate, though it is sometimes difficult to keep them 100 percent apart from each other. But keeping these functionalities in different objects will make it easier to adapt and fine-tune the game, which is something that will take a lot of the total development time of your game. Good games are not created on the drawing board; you have to play them to see what s great and what s not, and alter accordingly. In the following sections, you will learn to create Formic. We ll starting from an empty project and create the game object that contains all the game logic, the view controller that keeps all the views together and animates them. Finally, we ll create the custom view that sits in the background of all the views, accepts the player s taps, and converts them into logical taps for the circles that are directly fed into the game object.

/* Compute the initial investment necessary for a desired annuity. In other words, find the initial amount needed to allow the regular withdrawals of a desired amount over a period of time. */ import java.awt.*; import java.awt.event.*; import java.applet.*; import java.text.*;

[class message];

For example:

/* <applet code="Annuity" width=340 height=260> </applet> */ public class Annuity extends Applet implements ActionListener { TextField regWDText, initialText, periodText, rateText, numWDText; Button doIt; double regWDAmount; double rateOfRet; double numYears; int numPerYear; NumberFormat nf; public void init() { // Use a grid bag layout. GridBagLayout gbag = new GridBagLayout(); GridBagConstraints gbc = new GridBagConstraints(); setLayout(gbag); Label heading = new Label("Initial Investment Needed for " + "Regular Withdrawals"); regWDLab = new Label("Desired Withdrawal"); periodLab = new Label("Years"); rateLab = new Label("Rate of Return"); numWDLab = new Label("Number of Withdrawals per Year "); Label initialLab = new Label("Initial Investment Required"); regWDText = new TextField(16); periodText = new TextField(16); initialText = new TextField(16); rateText = new TextField(16); numWDText = new TextField(16); // Initial investment field for display only. initialText.setEditable(false); Label Label Label Label // // // // amount of each withdrawal rate of return length of time in years number of withdrawals per year

Before starting to write code, you need to set up a project. From Xcode s File menu, choose New Project, and chose View-Based Application, as shown in Figure 1-6.

UIButton *myButton = [UIButton buttonWithType:UIButtonTypeRoundedRect];

doIt = new Button("Compute"); // Define the grid bag. gbc.weighty = 1.0; // use a row weight of 1 gbc.gridwidth = GridBagConstraints.REMAINDER; gbc.anchor = GridBagConstraints.NORTH; gbag.setConstraints(heading, gbc); // Anchor most components to the right. gbc.anchor = GridBagConstraints.EAST; gbc.gridwidth = GridBagConstraints.RELATIVE; gbag.setConstraints(regWDLab, gbc); gbc.gridwidth = GridBagConstraints.REMAINDER; gbag.setConstraints(regWDText, gbc); gbc.gridwidth = GridBagConstraints.RELATIVE; gbag.setConstraints(periodLab, gbc); gbc.gridwidth = GridBagConstraints.REMAINDER; gbag.setConstraints(periodText, gbc); gbc.gridwidth = GridBagConstraints.RELATIVE; gbag.setConstraints(rateLab, gbc); gbc.gridwidth = GridBagConstraints.REMAINDER; gbag.setConstraints(rateText, gbc); gbc.gridwidth = GridBagConstraints.RELATIVE; gbag.setConstraints(numWDLab, gbc); gbc.gridwidth = GridBagConstraints.REMAINDER; gbag.setConstraints(numWDText, gbc); gbc.gridwidth = GridBagConstraints.RELATIVE; gbag.setConstraints(initialLab, gbc); gbc.gridwidth = GridBagConstraints.REMAINDER; gbag.setConstraints(initialText, gbc); gbc.anchor = GridBagConstraints.CENTER; gbag.setConstraints(doIt, gbc); // Add all the components. add(heading); add(regWDLab); add(regWDText);

Instance objects are what you re more likely to think of when you hear the term object. You create them yourself, and the majority of your programming time is spent

manipulating them. Except for those examples of creating new objects, all of our reallife examples so far have involved instance objects. In addition to calling an object by name, you can also refer to an object by one of two special keywords: self and super. The first always refers to the object itself, whereas the second always refers to the class s parent. You ll often see self used internal to a class s source code file:

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