diff options
Diffstat (limited to 'math')
| -rw-r--r-- | math/math.tex | 2 | ||||
| -rw-r--r-- | math/modPowIterativ.cpp | 11 |
2 files changed, 13 insertions, 0 deletions
diff --git a/math/math.tex b/math/math.tex index c2f5d63..c02d352 100644 --- a/math/math.tex +++ b/math/math.tex @@ -25,6 +25,8 @@ Sei $0 \leq x < n$. Definiere $d := \ggT(x, n)$.\newline \subsection{Mod-Exponent über $\mathbb{F}_p$} \lstinputlisting{math/modExp.cpp} +Iterativ: +\lstinputlisting{math/modPowIterativ.cpp} \subsection{Chinesischer Restsatz} \begin{itemize} diff --git a/math/modPowIterativ.cpp b/math/modPowIterativ.cpp new file mode 100644 index 0000000..f06b4bd --- /dev/null +++ b/math/modPowIterativ.cpp @@ -0,0 +1,11 @@ +// Laufzeit: O(log (b)) +ll powMod(ll a, ll b, ll n) { + if (b == 0) return 1; + ll res = 1; + while (b > 1) { + if (b & 1) res = (a * res) % n; + a = (a * a) % n; + b /= 2; + } + return (a * res) % n; +} |
