Its available for me only log(base "e"), sin, tan and sqrt (only square root) functions and the basic arithmetical operators (+ - * / mod). I have also the "e" constant.
I'm experimenting several problems with Deluge (zoho.com) for these restrictions. I must implement exponentiation of rational (fraction) bases and exponents.
Say you want to calculate pow(A, B)
Consider the representation of B in base 2:
B = b[n] * pow(2, n ) +
b[n-1] * pow(2, n - 1) +
...
b[2] * pow(2, 2 ) +
b[1] * pow(2, 1 ) +
b[0] * pow(2, 0 ) +
b[-1] * pow(2, -1 ) +
b[-2] * pow(2, -2 ) +
...
= sum(b[i] * pow(2, i))
where b[x] can be 0 or 1 and pow(2, y) is an integer power of two (i.e., 1, 2, 4, 1/2, 1/4, 1/8).
Then,
pow(A, B) = pow(A, sum(b[i] * pow(2, i)) = mul(pow(A, b[i] * pow(2, i)))
And so pow(A, B) can be calculated using only multiplications and square root operations