ActionScript 3.0 is a powerful, object-oriented programming language that signifies an important step in the evolution of the capabilities of the Flash Player runtime. The motivation driving ActionScript 3.0 is to create a language ideally suited for rapidly building rich internet applications, which have become an essential part of the web experience [1, 2]. ActionScript 3.0 is based on ECMAScript, the international standardized programming language for scripting. ActionScript 3.0 is compliant with the ECMAScript language specification, third edition. It also contains functionality based on ongoing work on ECMAScript edition 4, occurring within the ECMA standards body [3].

ActionScript is executed by the ActionScript virtual machine (AVM) built into the Flash Player. AVM1, the virtual machine used to execute legacy ActionScript code, powers the Flash Player today and makes possible a wide range of interactive media and rich internet applications. There are numerous products that generate content and applications targeted at the Flash Player runtime [4]. Often, these products incorporate support for ActionScript to add interactivity and behavior to their output. In the Adobe product family, professional designers and developers might use ActionScript within several tools and servers - such as Flash, Flex, and Flash Media Server - to create content and applications for the Flash Player. The Flex product family, including the new Eclipse-based Flex Builder 2 IDE, will be the first product line to access the new capabilities of ActionScript 3.0.

This paper designs an alpine skiing game by means of ActionScript 3.0. We propose a control movement function and auxiliary functions for game controls. The control movement is composed of moving objects (i.e., Santa Claus). It proceeds through four different phases of motion: 1) free fall, 2) sliding, 3) projectile, and 4) landing. In free fall, the object has uniformly accelerated motion before touching the path. Sliding is the object’s motion when it touches the path. Projectile motion happens when the object leaves the path of movement. Finally, landing, in which the object lands on the ground to stop movement, is last. The auxiliary functions include drawing the path, starting/ restarting movement, and saving the highest score. Furthermore, to maximize the visual design of our game, animations of a character and background were created. Finally, the moving objects have friction when they slide on the path of the ski slope. In order to facilitate testing the friction, users can input the friction by themselves. If a user does not input any data, the friction will default to 0.97.

This paper is organized as follows: section 2 reviews the relational technologies of the game; section 3 describes the idea of the game’s design; section 4 presents the design and implementation of the proposed game. Finally, section 5 concludes this paper.

In this paper, we use Flash CS4 as a tool for developing the alpine skiing game. Flash CS4 is the newest of the Flash authoring tools and is compatible with ActionScript 3.0.Besides, it is a good tool for creating games [1-4].

ActionScript 3.0 is designed to address the following goals.

- Safety: the language supports type safety so developers can write unambiguous, easily maintainable code.

- Simplicity: the language is intuitive enough for developers to be able to read and write programs without constantly consulting a reference manual.

- Performance: the language enables developers to write complex programs that perform efficiently and responsively.

- Compatibility: the language provides a short backward and forward compatibility path and a significant overlap with industry standards. ActionScript 3.0 is a dialect of ECMAScript that formalizes the features of ActionScript 2.0, adds the capabilities of ECMAScript for extensible markup language (XML; E4X), and unifies the language into a coherent whole.

1) Alpine Skiing Game by Armor Games Company

The game is produced by Armor games in Fig. 1. This game, called Alpine skiing, uses the arrow keys to control the object motion [5]. It is according to different path to the decision speed. It also applies many formulas of physics, such as those for free fall and horizontal projectile motion.Thus this game has a very high indicative.

2) Snowboard Game by GameBetty

The game is produced by Game Betty in Fig. 2. This game is calls Snowboard and uses the mouse to control the direction [6]. The game speed is fixed, so there is no physics formula to determine the speed and direction. Only by moving the mouse can the object be controlled.

3) Speed Sled Game by Wedu

The game shown in Fig. 3, called Speed Sled, is produced by a company called Wedu. It involves clicking on the point by the upper left corner to calculate the initial velocity [7]. This game path is determined; it can only be determined based on the initial velocity of the displacement. Click the button at the top left corner to control the initial velocity. If the button is pressed for a longer time, the initial velocity will be faster, and if the button is pressed for a shorter time, then the initial velocity will be slower.

In this section the design of the moving objects (i.e., Santa Claus) is described, specifically the process of moving through four different phases of motion as follows: free fall, sliding, projectile motion, and landing. In Fig. 4, the free fall is the state in which the object is in uniformly accelerated motion before touching the path. Sliding is the object’s motion when it touches the path. Projectile motion describes the behavior of the object when it leaves the path. Landing is the last stage, in which the object lands on the ground and its movement ends.

The control of the movement function is the core of the game. We also designed other auxiliary functions. These functions include drawing the path, starting/restarting movement and saving the highest score. To make the game more aesthetically pleasing, other animation was also needed. For example, in this game, the object is to have friction when it is sliding on the path. The object operation flow is shown in Fig. 5.

The key part of the game is the difficulty of programming; these difficulties include the displacement calculation, the direction determination, and angle calculations in a variety of motion states.

1) Free Fall and Projectile Motion Phases

The free fall and projectile motion phases can be calculated using the following formula [8]:

The free fall phase is the object’s first movement phase. The "dvyDown" and "dvxDown" are the vertical and horizontal movement of the displacement components. "Movement direction" has an initial value of 0. That is free fall. When the object touches the path, the direction of object movement is determined according to the angle of the path. Movement of the object to the right has a value of 1. Movement of the object to the left has a value of -1.

The projectile phase is the object’s third movement phase after the sliding phase. "Initial velocity" is the motion state of the object at that time. The timer t is 0. The initial angle is Math.PI/2. That is free fall, straight down. When the object touches the path, we can calculate the angle according to the path. The angle range is (-Math.PI, Math.PI). When the object goes out of the path, its speed will remain on the same angle and perform projectile motion.

2) Sliding Phase

The sliding phase is the object’s second movement phase after the free fall phase. As the path is drawn by the user, the angle is not fixed. Therefore, when the object is sliding on the path, the movement direction is also not fixed. We can use the following formula to calculate the displacement of the object [9].

Here the "Initial velocity" is the speed of the previous value after exercise; the "Angle" is based on the calculated path.

3) Calculation of the Friction

Friction is a force of reverse direction against speed. After setting a friction value, we can subtract it from the speed. In fact, it is subtracted from the speed itself and not from the xaxis or y-axis. If it is from the x-axis and y-axis, the object will keep along the constant angle. If one of the speeds reaches 0 early, the object will continue its vertical or horizontal movement for a while. Therefore, we find the angular velocity according to the speed and direction. The velocity vector can then be subtracted from the speed. If the friction is greater than the speed, the speed becomes 0. The formula is as follows [10]:

In order to facilitate testing the friction, in this game, users can input the friction by themselves. If the user does not input any data, the friction will default to 0.97.

This is a small Flash game; after running the game, users can draw a white glide path directly on the stage and click the play button. Command on the hilltop Santa Claus sliding down the drive along the path. The movement of Santa Claus will be based on the flight distance, and the slope of the length of the path varies. The game will record the highest score for each slide. In this game, users can input the friction themselves. Fig. 6 demonstrates the effect of the film running time [11].

By the preceding analysis, the components required in the film can be initially determined, in addition to the background elements and some other modifications of the animation. The main elements include moving objects (Santa Claus on skis), the scoreboard, the start-up and restore movement for the two buttons, and a record display object.

1) Free Fall Phase

Before the Santa Claus touches the line, it will free-fall, and there is no lateral movement. This is shown in Fig. 7.

2) Sliding Phase

When Santa Claus touches the line, it starts sliding along the line and there it has lateral displacement, as shown in Fig. 8.

3) Projectile Phase

The Santa Claus figure leaves the line according to the initial velocity, direction and angle of projectile motion, as shown in Fig. 9.

4) Landing Phase and Stop

When Santa Claus lands, the object stops motion and the x-axis is calculated. The scoreboard appears with scores. This is shown in Fig. 10.

5) Friction Test

In the input box on the right, the user can adjust the friction force. Fig. 11 shows a friction value (2) and the distance of motion is shorter than Fig. 10 (default value = 0.97). As Fig. 12 shows, the object stops on the path because of excessive friction.

The following Table 1 shows the comparison of other games.

The game is still not perfect. As a game, it is too simple. It is difficult for players to have sustained interest in it. Its playability is not excellent, nor are the visuals of high enough quality. The game needs improvement before commercialization.

On the other hand, this game has realistic movement. In addition to the common physics formulas, the friction formula was included. Users can input the friction themselves. This makes the movement more realistic. Realistic object movement is advantage strength of the game. In the game, the user can draw a custom path. This makes the object movement more diverse, and is another advantage of the game.

Given the core formula and design ideas, it is hoped that the game can be successfully commercialized.

In this paper, we designed a skiing game which includes moving objects, movement controls, and auxiliary functions. The movement control functions consist of free fall, sliding, projectile motion, and landing. The auxiliary functions include drawing a path, starting/restarting movement, and saving the highest score. In addition, to create an aesthetically pleasing visual design for our game, we designed animations with a character and background. Finally, the object experiences friction when it slides on the path. In order to facilitate testing the friction, users can input the friction themselves. If the user does not input any data, the friction will default to 0.97. This game needs improvement because it is too simple, and it is difficult for players sustain interest in the game. However, this game has realistic movement. Therefore, this game’s function can be used in physics simulation and testing. In addition, it can improve other games by using the developed models.