Sqrt approximator

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1

I made a very accurate approximator for sqrt(x)!
https://snap.berkeley.edu/snap/snap.html#present:Username=angzarr_812new&ProjectName=sqrt
enter a number and out go both a rough guess and an accurate approximation!

secret sause

Linear interpolation and 6 rounds of herons

2

Interesting. I must say, I’d rather get a floating point decimal fraction, though; the fraction with enormous numerator and denominator doesn’t give me any sense of how big the answer is! (For example, it’d be nice to know the nearest integer.)

3

So you can check out the code for my attempt; it does fractions for both the fractions part and the “decimal” part

4

Both versions are shown as fractions. I want, for example, 1.6 for the 8/5 and I dunno what but probably somewhere near 1.414… for the complicated fraction (taking √2).

5

Like when I try to disable bignum it still has bignums enabled

6

Ah, I see the problem. When you’re ready to turn bignums off, do this:

sqrt script pic
sqrt script pic682×220 39 KB

7

Thanks. I implemented it as [change utilities by .0].