summaryrefslogtreecommitdiff
path: root/content/math/sqrtModCipolla.cpp
diff options
context:
space:
mode:
authorGloria Mundi <gloria@gloria-mundi.eu>2024-11-16 01:24:14 +0100
committerGloria Mundi <gloria@gloria-mundi.eu>2024-11-16 01:24:14 +0100
commit98567ec798aa8ca2cfbcb85c774dd470f30e30d4 (patch)
tree5113d5cc24d1ad5f93810b6442ce584a36950dc8 /content/math/sqrtModCipolla.cpp
parentad3856a6b766087df0036de0b556f4700a6498c9 (diff)
parent8d11c6c8213f46f0fa19826917c255edd5d43cb1 (diff)
mzuenni tests
Diffstat (limited to 'content/math/sqrtModCipolla.cpp')
-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
new file mode 100644
index 0000000..1fac0c5
--- /dev/null
+++ b/content/math/sqrtModCipolla.cpp
@@ -0,0 +1,14 @@
+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;
+}