| 2009 University of Toronto ShowCaSe Fair |
| Development Schedule |  |
Purpose
The purpose of this group effort is at least four-fold. The primary objective
is to acquire Applet development skills necessary for the final Exam in the
course
in June. Secondly, the Mandelbrot Set provides a perfect opportunity to explore
fixed point mathematics techniques. Thirdly, group programming projects require
their own special skills that we have not had much exposure to. Last but not
least,
entering
the ShowCaSe Fair provides a opportunity to get some
university-level
exposure
and feedback
on your skill development.
Description
It has been agreed that we will adapt our final ICS3M assignment that rendered
and manipulated the Mandelbrot Set, to concepts discussed and developed in
ICS4M, with the intent of submitting the projects to the University
of Toronto's Showcase
Fair.
- A Java Application Framework with added graphic support served as the platform for our ICS3M Mandelbrot project. Since the intent of this year's adaptation is to deploy the project over the web, it is necessary to develop the project as an Applet.
- The goal is to permit users to explore the set in real time. To overcome the burden of intense floating point calculations, it is necessary to base the algorithm on fixed point mathematics.
Specialized
Features
Based on a common Applet platform supported by fixed point mathematics routines,
it has been agreed that each student will provide a unique interactive feature
to
enhance
the user's manipulative experience. It is agreed that a check box be available
to toggle the feature on or off.
Normalized
Iterative Count Palette: C. Black
Links: Normalized
Iteration Count Algorithm. PDF: Coloring
Dynamical Systems in the Complex
Plane (pp. 3-4)
Julia
Set: R. Ng
2007
ICS3M Final Exam, Rothman's Final Exam
Mandelbrot
Music: S. Tsuji
Driver, Layout, Coordinator
Orbits:
M. Weldon
Mandelbrot
Orbits Applet
Development Schedule
The submission deadline can be met if we stick to an agreed upon schedule.
Thursday
February 12
Event Handling
and Listeners. Source
Code.
Tuesday February 10
Applet investigations. Source Code.
Student |
Confirmed |
Applet |
Example |
 |
|
Chris Black |
 |
|
Rothman Ng |
|
|
Severin Tsuji |
|
|
Matt Weldon |
|
Sunday
February 8 - Mandelbrot
Create and mount your Mandelbrot Applet that uses fixed point mathematics routines
for enhanced performance. Your code could start with this code
shell.
Student |
Confirmed |
Applet |
Example |
|
|
Chris Black |
|
|
Rothman Ng |
|
|
Severin Tsuji |
|
|
Matt Weldon |
|
Wednesday February
4
Create and mount a Java Applet by the start of Friday's class that displays
examples of
fixed point fractions, division, and negative number using your FP
class.
Student |
Confirmed |
Applet |
Example |
|
|
Chris Black |
|
|
Rothman Ng |
|
|
Severin Tsuji |
|
|
Matt Weldon |
|
Monday February 2
Create and mount a Java Applet by the start of Wednesday's class that displays
examples of
addition
and
multiplication
of integers using your FP class.
Student |
Confirmed |
Applet |
Example |
|
|
Chris Black |
|
|
Rothman Ng |
|
|
Severin Tsuji |
|
|
Matt Weldon |
|
Friday
December 26
As of December 26, 2008 our intention remains to submit entries to the University
of Toronto's 2009 ShowCaSe Event. The Registration and Project deadline
is February 15, 2009. One project we had discussed was porting last year's
Fractal investigations to Google's
Android Platform and adding in Fixed Point Math calls to speed up
generation for cell phone technology. The goal being smooth, real-time
imaging.
Attempt
1.
After finding and exploring some good Theory sites (Jones
on Reciprocal Multiplication was terrific), coding was fairly straightforward.
With a good understanding of
the principles,
I found
two
FP libraries
(Beartronics and JMFP)
that looked promising. The flash animation to the right is my first
attempt incorporating
some of the Beartronics library, using Java's 32-bit
ints (16.16). The captures to the right were taken on my desktop running
at
2.4GHz; 1000 max iterations, 320x320, Zoom 50%.
Attempt 2
In this second live capture, the ratio of mantissa:fractional
bits was
decreased
from
Q(16:16)
to Q(11:21)
to allow for deeper zooming.
Any
fewer
mantissa
bits
jeopardizes calculations involving screen coordinates [2.4GHz; 300 max iterations;
240x240, 300 frames, Zoom:31/32 (98.6%)]. Further code optimization and double
buffering
were
added.