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c++ Programming Glossary: squaringWhat is the fastest way to compute large power of 2 modulo a number http://stackoverflow.com/questions/11289495/what-is-the-fastest-way-to-compute-large-power-of-2-modulo-a-number share improve this question Check exponentiation by squaring and binary method of modular exponentiation share improve this..
How to speed up series generation? http://stackoverflow.com/questions/11381277/how-to-speed-up-series-generation ull n m 0 0 n m 0 1 n m 1 0 n m 1 1 n exponentiation by squaring algorithm 1 if n 0 1 x ^n if n 0 x^n x.x^ n 1 2 ^2 if n is.. long long x 1 long long y a while p 0 if p 2 1 x x y m squaring the base y y y m p 2 return x c To apply for matrix we need.. which can be quickly evaluated using exponentiation by squaring . This leads to an O log n solution which should solve the problem..
modular arithmetics and NTT (finite field DFT) optimizations http://stackoverflow.com/questions/18577076/modular-arithmetics-and-ntt-finite-field-dft-optimizations field DFT optimizations I wanted to use NTT for fast squaring see Fast bignum square computation but the result is slow even..
Modular Exponentiation for high numbers in C++ http://stackoverflow.com/questions/2207006/modular-exponentiation-for-high-numbers-in-c share improve this question Exponentiation by squaring still works for modulo exponentiation. Your problem isn't that.. get bigger than 2 log modulus Start with exponentiation by squaring as you have. Perform the actual squaring in a 64 bit unsigned.. exponentiation by squaring as you have. Perform the actual squaring in a 64 bit unsigned integer. Reduce modulo 673109 at each step..
Efficient way to compute p^q (exponentiation), where q is an integer http://stackoverflow.com/questions/5625431/efficient-way-to-compute-pq-exponentiation-where-q-is-an-integer share improve this question Exponentiation by squaring uses only O lg q multiplications. template typename T T expt..
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