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Download
Please download on PC (not smartphone) and extract the ZIP file. Then double-click VCSSL.bat (batch file) to execute for Microsoft® Windows®, or execute VCSSL.jar (JAR file) on the command line for Linux® and other OSes.
For details, see How to Use.

3D Graph Tool for Plotting & Animating Parametric Expressions of the Form of x(t), y(t), z(t)

This VCSSL program is a simple tool which plots parametric expressions (formulas) of the form of x(t), y(t), z(t) to the 3D graph.

- Index -

How to Use

Download and Extract

At first, click the "Download" button at the above of the title of this page by your PC (not smartphone). Then a ZIP file will be downloaded, so please extract it (by selecting "Extract All" from right-clicking menu).

» If the extraction of the downloaded ZIP file is stopped with security warning messages...

Execute this Program

Next, open the extracted folder and execute this VCSSL program.

For Microsoft® Windows®

Double-click the batch file "VCSSL.bat" to execute.

For Linux®, etc.

Execute "VCSSL.jar" on the command-line terminal as follows:

cd <extracted_folder>
java -jar VCSSL.jar

» If the error message about non-availability of "java" command is output...

How to Use After Executing the Program

Windows and UI

Following three-windows will be launched. The left one is the input-window, and the right one is the graph-window. The animation-window will be launched when ANIMATION button have clicked.

The input-window(left) and the graph window(right), and the animation window (right-bottom)

Input an Expression to Plot

At first, with using a parameter "t", please input an expressions of x(t), y(t), z(t) you want to plot into the text fields labeled with "x(t) =", "y(t) =", and "z(t) =" at the top of the input-window. There are some points to write the expression:

  • Use small character for "t".
  • Arithmetic operations such as "+" and "-" are available. However, some symbols of operators are different with handwriting expressions. Use "*" for multiplication, and use "/" for division.
  • Multiplication and division are prior in calculation order than addition and subtraction.
  • You can mathmatical functions such as "sin" and "cos" in the expression. The value of circle ratio is available as "PI" (capital character).
  • The exponentiation operator is "**". For example, t2 should be written as "t**2" in the expression.

Plot a Graph

After inputting the expression, please click "PLOT" button at the middle of the input-window, and the expression will be plot to the 3D graph.

The graph will be plotted with moving the parameter t little by little from t-min to t-max, and finally will be drawn as a lines-and-points* of t-N nodes. Each points on the graph represent coordinate points of (x(t), y(t), z(t)).

* If you plot lines-only graph, please see Other Features.

Take Animation

Click ANIMATION button at the middle of the input-window to play animation. Then animation-window will be launched.

Animation will be played by plotting points of the graph one by one at each frames (time unit of the animation). You can check the current value of the frame counter by the value of "count =" label on the animation-window.

Plot new Expressions over the Current Graph

If you want to plot other expressions over the current graph, simply modify expressions of "x(t) =", "y(t) =", "z(t) =" text-fields, and click again "PLOT" button. New expressions will be plotted over the current graph by using a different color.

As the default settings, the graph is colored by the gradation toward z-direction, so it might be difficult to distinguish multiple lines. In that situation, you can disable the gradation coloring mode by disabling "Gradation (Z)" checkbox from the "Option" menu at the top of the graph-window. Then the multiple each lines will be colored by different colors as followings:

Examples of graphs when gradation is enabled(left), and is disabled(right).

Clear All Contents of the Current Graph

If you want to clear all contents of the current graph, please click "CLEAR" button at middle of the input-window.

Other Features

With the default settings, the graph will be plotted as a lines-and-points graph. If you want to plot a lines-only graph, please disable the checkbox of "With Points" from the "Option" menu at the top of the graph-window. In addition, if you want to change the width of lines, please disable and re-enable "With Lines" option, and you will be asked the line width.

If you want to change the background color to white from black, please disable "Black Screen" checkbox from the "Option" menu at the top of the graph-window. The white background is suitable for printing use, and black background is suitable for monitor of PC.

You can modify other settings from "Edit" menu at the top of the graph-window, e.g. X & Y & Z ranges of the graph, labels of X & Y & Z axes, scales, light & camera, colors, etc.

You also can save settings and save the image of the current graph, from "File" menu at the top of the graph-window.

RINEARN Graph 3D
The 3D graph software "RINEARN Graph 3D" is used as the graph-window of this program. If you like UI and operability of the graph-window of this program, please try to use RINEARN Graph 3D for your data-analysis use.
» More Details

Code

This code is written in VCSSL.

License

The license of this VCSSL code (the file with the extension ".vcssl") is Public Domain (CC0), so you can customize / divert / redistribute this VCSSL code freely.

Japanese English
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