Examples

The topic of this page is to present the 2D module with simple and different examples : the first one about the use of the API in a java program; the second about data file and its interpretation; and the last, a good example to display differential equation solution solved by the module ODE.

1. Function display

Here is an example which displays functions in a window. These functions are defined in a direct rectangular coordinate system and are :

• a conic
• a sinus
• the curve of equation y=x³ - x
• a parametric curve

Look at the source ex1.java. After compiling, you will see :

2. Data file

This example presents the minimal java program to load and display the content of a data file. It describes 2D object like a conic, points, a vector .. all defined in a no-rectangular coordinate system in this example. In the other hand, the display is automaticaly done in a rectangular one.

Look at the data file and the code source ex2.java. Here is the display :

3. Pendulum

At last, a concrete and interesting example : concrete because it talks about differential equation solving involved a deadened pendulum ; interesting because it uses both ODE module for the solving and 2D module for the display.

The program try to solve the no-linear system of deadened pendulum with 15 different initial conditions.
Look at the source Pendule.java. The first part define the problem and solve it, and the second opens a window and displays the solutions, using the 2D module :

Opale Team : January 31 2004 23:14:10.