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 with True to turn on the entire Scheme numeric tower, including infinite-precision integers, exact rationals, and complex numbers; call with False to restore native JavaScript arithmetic.

pt:altera utilização de aritmética do Scheme para _ The factorial function, to make very large numbers, to demo bignums.

The identity function: reports its input. It's useful to get things like 3/4 or 5-2i into numeric input slots.

Provides Scheme arithmetic functions not in JavaScript

pt:_ de _ number? complex? real? rational? integer? exact? inexact? exact inexact finite? infinite? nan? numerator denominator real-part imag-part magnitude angleCompute a^k mod n efficiently by repeated halving (top-down version of bottom-up repeated squaring). If you send in a nonzero t, that's how long verbose speech bubbles will last

0If we've halved all the way down to power=1, the answer is simple halfpowerhalfansweranswerhalfpowerfloor2computing to the halfanswerHere's where the magic happens: this custom block calls this custom block. FUNCTION-CEPTION! Which in Computer Science is known as 'recursion'21Test whether n is prime by computing a^(n-1)mod n. If the result is not 1, then a is a 'witness' that n is not prime. If the result IS 1, then we haven't necessarily proved that n IS prime, but we also failed to find evidence that n is NOT prime...

2Compute a^k mod n efficiently by repeated halving (top-down version of bottom-up repeated squaring). This version goes a lot faster than the other version with the 'Say' blocks (even if say-time is 0)

halfpowerhalfanswerhalfpowerfloor2halfanswerHere's where the magic happens: this custom block calls this custom block. FUNCTION-CEPTION! Which in Computer Science is known as 'recursion'20

Given chosen primes p and q and encryption exponent e, compute a decryption exponent d, so that for Euler number E=(p-1)(q-1), ed=1 mod E. This follows the computation methodology in the 'RSA Encryption with Excel' videos by Jonathon Briggs, see youtube.com/watch?v=zxMNNwvhj94 He names columns a,b,d,k, I call his d and k 'rem' for remainder and 'div' for dividend