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-rw-r--r--content/math/sqrtModCipolla.cpp14
1 files changed, 14 insertions, 0 deletions
diff --git a/content/math/sqrtModCipolla.cpp b/content/math/sqrtModCipolla.cpp
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+++ b/content/math/sqrtModCipolla.cpp
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+ll sqrtMod(ll a, ll p) {// teste mit legendre ob lösung existiert
+ if (a < 2) return a;
+ ll t = 0;
+ while (legendre((t*t-4*a) % p, p) >= 0) t = rng() % p;
+ ll b = -t, c = -t, d = 1, m = p;
+ for (m++; m /= 2; b = (a+a-b*b) % p, a = (a*a) % p) {
+ if (m % 2) {
+ d = (c-d*b) % p;
+ c = (c*a) % p;
+ } else {
+ c = (d*a - c*b) % p;
+ }}
+ return (d + p) % p;
+}