Cemetech to Bring Full-Color Prizm 3D Graphing

[KermMartian]

Following a proud tradition of doing ridiculous things because we can, Cemetech's latest side-side-side project will do something a bit more useful. Long have I yearned for a beautiful 3D graph add-in to accompany the beautiful, high-resolution color screen on my trusty Casio Prizm calculator. Unfortunately, issues such as time constraints and no system calls that hook Casio's CAS have prevented this from becoming a reality. That changed a few months ago when Cemetech user AHelper, well-known for his upcoming GlassOS third-party TI-84+ operating system, decided to release source and information about his gCAS2 library. This nifty set of functions and support routines turns a string holding an equation into an AST (a tree representing the equation) and can then produce a numerical answer. It's currently still somewhat limited, and I tracked down a number of errors, but with that plus some custom color-mapping and 3D rendering code of my own, I produced a program that can graph any 3D equation.

Of course, it is still quite rudimentary. Although I've begun a single-line text input routine for entering equations, currently the equation to be graphed is compiled into the program (although it still calculates all points and colors on-the-fly on the Prizm!). Things like an adjustable window and zoom and rotation are coming soon, although I have a good idea of how they'll work. Trig functions including sin, cos, and tan are not yet in gCAS2, and there are glitches with certain types of coefficients. Nevertheless, as I find time, I hope to gradually bring this to an educational-grade, very useful 3D graphing program!

As always, feedback, comments, and suggestions are welcome. And don't forget that if you pre-order my upcoming beginner programming / TI-BASIC book, Programming the TI-83+/84+ before March 6th, there's a 50% off code, "TI8384".

The following is a graph of Z=((X*X+Y*Y)/4)-5;

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[Eiyeron]

NIce thing! I want to try this as fast I can!
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[helder7]

very nice Kerm!


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SiO2 + CaCO3 ----------> CaSiO3 + CO2

[gbl08ma]

Wonderful. This would have been more useful some months ago when I was learning basic equations and conditionals in space at school, but I'm sure it will be very interesting to play with now too

Keep up the good work, Kerm!
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View JPEG images on your Prizm | Utilities for the Casio Prizm - clock, stopwatch, calendar/agenda, add-in manager and more!

[KermMartian]

Thanks, guys! Once I get rotation working and have manual equation entry at least sort of functional, I'll release an alpha for you all to play with.
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[krazylegodrummer56]

you should have it so you can enter in diffrent equations, like xyz plot, x=, y=, z=, and maybe plain old 0=ax+by+cz.
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Projects: Learn how to program in Prizm C
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[Deep Thought]

[krazylegodrummer56]

Also I would love it more if the rainbow effect stayed.
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Projects: Learn how to program in Prizm C
First C program!
Tic-Tac-Toe: Get it HERE!

[KermMartian]

Krazy, the latter is like z=-(ax+by)/c. I see that the Nspire will get parametric graphing in OS 3.2, so I should add it, but that's a secondary concern.
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[TheStorm]

It's sad that Casio didn't allow for a way for us to take advantage of their internal math routines, though I'm not surprised and from what I saw in the docs for their older calculators it seems they re-implement the math routines in every addin which is rather retarded.

That said, Nice work Kerm, this is rather impressive. And props to AHelper as well.
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<Michael_V> or create a Borg collective and call it The 83+
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[AHelper]

Very nice work, KermM! Glad to see that gCAS2 eventually worked! Will there be a proof-of-concept add-in released (just to see it on a real screen, not necessarily for the source)?

If you modified the library source, can you post a patch? Also, if anyone wants to help expand gCAS2, please do! I currently have too many projects being worked on right now.

Lastly, about the input, you can look at Clock's code. I have a custom text-input routine in there, however the text input routine that I added documentation for on the prizm wiki is probably what you are looking for
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<BrandonW> "You don't even want to know what TI Connect does when it's just detecting your calculator...It ACTUALLY ERASES THE SWAP SECTOR on every communication attempt...EVERY SINGLE ATTEMPT...Yes, TI Connect will kill your calculator..What do I have to do to get your attention?!....Such a bloated protocol."

[KermMartian]

[DJ_O]

Looks pretty promising Kerm. Some people complains is that the PRIZM lacks many features the TI-Nspire has, especially since OS 3.1. 3D graphing is often a cited one. Hopefully more math tools adding features the Nspire has are made for the Prizm, to bring it on-par for school users and, hopefully, increase their sales (and the amount of Prizm users)
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[elfprince13]

[Kaslai]

For technical things, such as graphs, I prefer an orthographic projection over a perspective projection. I'm probably never going to use this program, but I'm just putting that out there. It would also be computationally less expensive, as you'd only have to find the translation factor for one point, and it could be used for all the points.
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[KermMartian]

I would prefer an orthographic projection as well, and it would certainly make my life easier, but I think I at least need a perspective option. I was very surprised to go pull out my TI-89 just now and realize it does indeed do orthographic projection, which I did not think was the case.

Elfprince: you mean A^B for all A, B? It already does that, if so.
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[AHelper]

@Elfprince: Unless you mean complex numbers like 1+2i, or if you mean x^(y^2/2)
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°ᴥ° Get Lucky

<BrandonW> "You don't even want to know what TI Connect does when it's just detecting your calculator...It ACTUALLY ERASES THE SWAP SECTOR on every communication attempt...EVERY SINGLE ATTEMPT...Yes, TI Connect will kill your calculator..What do I have to do to get your attention?!....Such a bloated protocol."

[tifreak8x]

That's an impressive display. I sadly would have no use for a program such as this, but it looks great Can't wait to see some more awesome screenshots come about.
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[elfprince13]

[KermMartian]