Complex Plotting App

[dwgg]

(02-07-2015 06:02 AM)Han Wrote:  Usage: Plot(r) where the initial resolution is a grid of squares of size \( 2^r \times 2^r \). On the emulator, this modified version takes half the time vs. the original. On the calculator, the modified version takes 75% of the time of the original.

Thank you Han for the improvement. I tried the modification and it does get rid of redundancy and improve the performance of the program. Moreover, since we are only drawing uncalculated pixels there is almost no time penalty in doing progressive resolution compared to doing pixel level single sweep.

Also adding one comment regarding conformality (I am learning more about complex analysis as I am further working on this program), it looks like you can indeed check conformality by checking contour grids: Conformality breaks where the contour is breaking up. You can read further in below link:

http://www.mai.liu.se/~hanlu09/complex/d...icode.html

Comparing with complex graphs I see from above link, I think now that in terms of graph features this program is meeting many of what one would look for in complex graph.. I think what we could improve further on is as below:

1. Any further speed improvement (if possible)
2. Capability for saving previous calculated plots and using it to redraw if function is not modifed (like Graph3D... so we don't have to keep redrawing when we come back)
3. Tracing feature (based on re and im coordinate print out z value)
4. implement option for edge detection filter for the contour lines so the contour lines are of uniform width (see further info in above link).