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.
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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). A ZIP file will be downloaded.
Then, please extract the ZIP file. On general environment (Windows®, major Linux distributions, etc.), you can extract the ZIP file by selecting "Extract All" and so on from rightclicking 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 Windows
Doubleclick the following batch file to execute:
For Linux, etc.
Execute "VCSSL.jar" on the commandline terminal as follows:
java jar VCSSL.jar
» If the error message about nonavailability of "java" command is output...
How to Use After Executing the Program
Windows and UI
Following threewindows will be launched. The left one is the inputwindow, and the right one is the graphwindow. The animationwindow will be launched when ANIMATION button have clicked.
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 inputwindow. 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 inputwindow, and the expression will be plot to the 3D graph.
The graph will be plotted with moving the parameter t little by little from tmin to tmax, and finally will be drawn as a linesandpoints* of tN nodes. Each points on the graph represent coordinate points of (x(t), y(t), z(t)).
* If you plot linesonly graph, please see Other Features.
Take Animation
Click ANIMATION button at the middle of the inputwindow to play animation. Then animationwindow 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 animationwindow.
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) =" textfields, 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 zdirection, 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 graphwindow. Then the multiple each lines will be colored by different colors as followings:
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 inputwindow.
Other Features
With the default settings, the graph will be plotted as a linesandpoints graph. If you want to plot a linesonly graph, please disable the checkbox of "With Points" from the "Option" menu at the top of the graphwindow. In addition, if you want to change the width of lines, please disable and reenable "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 graphwindow. 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 graphwindow, 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 graphwindow.
The 3D graph software "RINEARN Graph 3D" is used as the graphwindow of this program. If you like UI and operability of the graphwindow of this program, please try to use RINEARN Graph 3D for your dataanalysis use.
» More Details
Code
This code is written in VCSSL.
License
The license of this VCSSL / Vnano code (the file with the extension ".vcssl" / ".vnano") is CC0 (Public Domain), so you can customize / divert / redistribute this VCSSL code freely.
Also, if example code written in C/C++/Java are displayed/distributed on Code section of this page, they also are distributed under CC0, unless otherwise noted.
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