:Introduction:
:High.Level.Design:
:Program.Design:
:Hardware.Design:
:Results:
:Pictures:
:Conclusions:
:Appendix:
:Code.of.Ethics:

     A major challenge of the design was to graph an entire function to the screen without causing flicker. We decided that storing all the points to an array and printing them to the TV at once would not be possible within the refresh rate, so we decided to calculate the points on the fly and print them out one by one to the screen. Although this worked well, we were not able to include as many extensions of the Taylor series expansions as we would have liked. As a result, our accuracy suffered a little. Thus we added a precision mode that uses math.h in case the user wants to insure accuracy. We also had trouble graphing certain functions that required too much computation per point. An example of this is graphing 5 tan(3x + 2). We started getting flicker because the processor could not finish the computation in time for the next screen refresh.

     We only printed results of calculations out to the second decimal point. When in normal mode of operation, all the basic numerical functions(add, multiply, divide, subtract) and sine and cosine were accurate for all legal input. The other functions’ accuracy suffered because of the limitations of using the Taylor expansions.

     Below are the functions and their approximate range of accuracy:

• Tangent: -1 < x < 1
• ex : -2 < x < 3
• arcsin: -.8 < x < .8
• arccos: -.9 < x < .9
• arctan: -.9 < x < .9
• ln: 0 < x < 1.5