Re: Mathematical models for loop calculations

Tim Frink said:

Hi,

I'm looking for an approach to represent calculations within
a loop (of a computer program) by mathematical models. To make
things clear, here is a simple example for a loop that iterates
10 times:

i = 0,
b = 2,
c = 2,
d = 2,
e = 2;

while( i < 10 ) {
a = a + 1;
b = b + b;
c = c * c;
d = d + e;
e = e + 1;
i++;
}


Assuming I = number of loop iterations:
a's a tricky one, but broadly speaking a += I will do the trick. The reason
it's tricky is that you didn't spec an initial value.

Overall:

a += I;
b = pow(2, I);
c = pow(2, pow(2, I));
d = I * (I + 1) /2 + 1;
e += I;

And don't forget:

i += I;

--
Richard Heathfield <http://www.cpax.org.uk>
Email: -http://www. +rjh@
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