[INVERSE SYMBOLIC CALCULATOR]

The Lookups

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The dumb or simple lookup is a program that looks in the huge tables to see if there is a match between the input X (your number) and an entry in the tables.

The smart lookup is a set of variations of K with elementary functions. The functions we took in that level are (if K is the input) :

K+p/q and K-p/q with p/q in F24, this is the Faray fractions or order 24 (omitting the 0 and the 1).

K*p/q with p/q in F24.

sin(K), cos(K), tan(K), log(K),exp(K).

Elementary variations like (K-1)/(K+1), sqrt(K+1), ...

Various powers of K like K^(1/2), K^(1/3), K^(2/3)...

Variations with Pi and K.

We had to be sure that the output is always positive, so this is why there are 'abs' in many of them. Also we had to choose to limit the input (X) to be between 1/1000 and 1000.

isc@cecm.sfu.ca