Stamp II math notes

contents (updated 11/4/99)

This used to be a single document, but I have now split it into several pieces. This index will take you to the appropriate catagory:

• Topics on multiplying a variable times a constant fraction.
  • */ and ** operators for multiplying a variable times a fraction
• Topics in division, where a variable is in the denominator, or double precision is needed.
  • long division
  • reciprocal of a variable and in-line division
  • double precision division
• Functions: the square root, arccos & arctan, logarithm, and interpolation.
  • arcCos and arcTan
  • interpolation of the square root
  • logarithm by interpolation in a table
  • logarithm by calculation
  • tables and interpolation
• Calculation and display: Negatives, Decimals, Time and Date, IF-THEN-LET.
  • BS2 integer math and negative numbers
  • display of data with decimal point
  • julian date and time
  • IF-THEN LET constructs
• Statisical calculations and digital filtering.
  • smoothing
  • statistics: mean, min, max, and S.D.
• Division algorithm for microcontrollers
  • algorithm
  • theory
  • interpretation of fixed point fractions

Please let the author know if you find typos or errors in this formulary, or if you find it useful (despite the bugs!). It is always good to know that this has been appreciated. These programs and snippets are presented without warranty. Nothing substitutes for understanding of the problem you are trying to solve and the methods you intend to use.

I came across Scott Dattalo's site, which has a lot of interesting algorithms for the PIC, and theory. Scott recalled the following aphorism:

In theory, there's not much difference between theory and practice; in practice, there is.

And I think is was Willard Gibbs who said,

There is nothing quite so practical as a good theory.

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