Complex Equations Solver

What is this?

• This is a JavaFX software developed by me Raheem Elsayed for solving 2×2 or 3×3 complex linear equations. Long time ago i writen Visual Basic software to solve 2×2 complex linear equations but when i learned java i decided to make it with JavaFX and extend it to 3×3 and will extend more when get time.

Is this software useful?

• This can be useful in case you are studying sinusoids and phasors in electric circuits, this will provide you a simple easy way to solve these equations. As many as i solved electric circuits (using node, mesh ..etc) i can tell you that the max maybe you face is a system of 3×3 complex linear equations.

Is it easy to use?

• I think yes, you just need to enter real, imaginary parts and it's all. It's very easy to use.

Building & Version:

• You can build this program on any IDE, i used NetBeans to build current one in this repository.
• We can consider the version of this software: 1.0.0

Support:

• I'll support this software, and maintenance it. Don't hesitate to open issue if you found any bug/problem. Also all good ideas are welcomed :)

EXE:

• Download: Complex Equations Solver.exe
  Make sure JVM installed on your OS so this .EXE works.
  I used Launch4j to generate this EXE.

How to use?

• Simply you will need to enter real part then press Enter (Enter ↵ will go to next field) then enter the imaginary part and then press enter to go to next field and like this fill all required fields. Then press solve.

• Example of this if we had these two equations:

(3+2i)X + (3-4i)Y = (-2i)
(3) X + (-1i) Y = (-4-2i)

• You should enter them like in this photo:

Verify with Matlab:

• Here i take arbitrary equations and solved them with Matlab and compared them with my software and its matched matlab results. The two matlab scripts: twoequations.m, threeequations.m

• OK here matlab results:

• And here our software results:

UML Diagram for Complex, ComplexMatrix classes:

• You can use these classes in any other software if you need. I think these two classes have good and enough things for dealing with complex numbers. And here is the UML diagrams for these two classes:

Hidden feature:

• After you enter the value in the text area field, press enter key and it will go to the next field ;). This feature suggested by one my friend (Abdelrahman Gamal - He inspired me with good ideas but was lazy and didn't code this with me) thanks to him.

Can we extent this to 4×4, 5×5...?:

• Yes we can. Will be same idea like 3×3 and 2×2. I made only two modes as no much time i own for this project :D

Finally:

• You are allowed to edit my code, rebuild it or publish it anywhere but state the source (this github). Thanks :)