EDGE: new kind of plotter
in [HP48]
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From: JYA on 2 Nov 2007 15:19 Dear all. I demonstrated our math library at the last HPCC. It allows to plot any kind of graphs (including inequalities) Unlike most plotters, it can plot implicit functions (in the form of g(x,y)=f(x,y)) and will always draw a "true" representation of the function. As a bonus, it can also identify where the function i undefined or discontinued and display it as such. It also allows tracing http://www.hydrix.com/knowledge/index.php?id=89 You'll find a link to our white paper and an online version (demo, still in beta). Have a check! To give you an example on how efficient it is: to plot: 5*x^6-10*x^4*y+13*x^2*y^4-19*x*y^5+6*y^6=20 on a TI89 using a 25x25 matrix, will take over 16 minutes. On a HP50, EDGE will take less than 5 seconds for a 131*80 matrix. Cheers Jean-Yves -- They who would give up an essential liberty for temporary security, deserve neither liberty or security (Benjamin Franklin)
From: sc_usenet on 2 Nov 2007 16:44 On Nov 2, 3:19 pm, JYA <nos...(a)nospam.blah> wrote: > Dear all. > > I demonstrated our math library at the last HPCC. > It allows to plot any kind of graphs (including inequalities) > > Unlike most plotters, it can plot implicit functions (in the form of > g(x,y)=f(x,y)) and will always draw a "true" representation of the > function. As a bonus, it can also identify where the function i > undefined or discontinued and display it as such. It also allows tracing > > http://www.hydrix.com/knowledge/index.php?id=89 > > You'll find a link to our white paper and an online version (demo, > still in beta). > Have a check! > > To give you an example on how efficient it is: > to plot: > 5*x^6-10*x^4*y+13*x^2*y^4-19*x*y^5+6*y^6=20 > > on a TI89 using a 25x25 matrix, will take over 16 minutes. > On a HP50, EDGE will take less than 5 seconds for a 131*80 matrix. > Cheers > Jean-Yves > > -- > They who would give up an essential liberty for temporary security, > deserve neither liberty or security (Benjamin Franklin) Wow. Sounds incredible. Where can I get it for the 50g? (or is it still in beta testing?) Thank you, Jean-Yves. S.C.
From: JYA on 2 Nov 2007 23:20 On 2007-11-03 07:44:48 +1100, sc_usenet(a)hotmail.com said: > > Wow. Sounds incredible. Where can I get it for the 50g? (or is it > still in beta testing?) > The code for the HP50 isn't publicly available yet. Jean-Yves -- They who would give up an essential liberty for temporary security, deserve neither liberty or security (Benjamin Franklin)
From: Khanh-Dang on 3 Nov 2007 04:28 Hi, Le 02 novembre 2007, JYA a �crit : > I demonstrated our math library at the last HPCC. > It allows to plot any kind of graphs (including inequalities) > > http://www.hydrix.com/knowledge/index.php?id=89 > Wow! This is the killer app for hp50g! Well, the name, EDGE, was meant to be the name of a killer app, wasn't it? :-) For a few days, I have been writing a SysRPL program to do range analysis. I need it to evaluate the precision of experimental data. For example, as explained in EDGE's whitepaper, say you measure 1�0.1 meters and 2�0.1 meters, i.e. you know the two lengths are in the ranges [0.9 1.1] and [1.9 2.1] (in meters). Then, the sum of them is 3�0.2 meters. Simple when it's just an addition, but much more difficult if there is a lot of algebraic manipulation e.g. with trigonometric functions. I never thought to use range analysis to speed up graphing. Once again, EDGE seems to give very impressive results. I wish I had a hp50g to give it a try. Congratulations!
From: Wes on 3 Nov 2007 09:39
On Nov 3, 6:20 am, JYA <nos...(a)nospam.blah> wrote: > The code for the HP50 isn't publicly available yet. > > Jean-Yves Looks great. Can't wait to try it out. In your paper, you mention that equations like rotated ellipses and lemniscates are not part of senior-high curriculum. Actually, we do cover these very shapes. Some years back (okay, back in the MS-DOS days actually), I wrote a graphing program for school use that plotted implicit functions with recursive subdivision as you described. Even on my 286-12, it could plot 640x480 in just a few seconds. I got the idea of using recursive subdivisions from the Fractint program which used something similar (along with other speed-ups) to generate fractals in amazingly short times. When I got my 49g+, I was thrilled that it could do truth plots, but when I saw the pixel-by-pixel method it used, I realized that it was practically unusable. Edge will add so much. Eagerly anticipating it's release, -wes |