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-rw-r--r--test/math/discreteLogarithm.cpp64
1 files changed, 64 insertions, 0 deletions
diff --git a/test/math/discreteLogarithm.cpp b/test/math/discreteLogarithm.cpp
new file mode 100644
index 0000000..0f9eecf
--- /dev/null
+++ b/test/math/discreteLogarithm.cpp
@@ -0,0 +1,64 @@
+#include "../util.h"
+#include <math/modPowIterativ.cpp>
+#include <math/legendre.cpp>
+
+ll overwrite = 0;
+ll getMemory(ll /**/) {return overwrite - 1;} //dlog code adds one...
+#define sqrtl getMemory
+#include <math/discreteLogarithm.cpp>
+#undef sqrtl
+
+template<typename F>
+void stress_test(F&& f) {
+ ll work = 0;
+ for (ll tries = 0; tries < 3'000; tries++) {
+ ll p = Random::prime<ll>(1'000);
+ overwrite = f(p);
+ ll a = Random::integer<ll>(1, p);
+ vector<bool> naive(p);
+ for (ll i = 0, j = 1; i < p; i++, j = (j * a) % p) {
+ naive[j] = true;
+ }
+ for (ll b = 0; b < p; b++) {
+ ll got = dlog(a, b, p);
+ if (got < -1 || got >= p) cerr << "error: out of range" << FAIL;
+ if ((got >= 0) != naive[b]) {
+ cerr << a << " " << b << " " << p << endl;
+ cerr << got << endl;
+ cerr << "error" << FAIL;
+ }
+ if (got >= 0 && powMod(a, got, p) != b) {
+ cerr << a << "^" << got << " = " << powMod(a, got, p) << " != " << b << " % " << p << endl;
+ cerr << "error: wrong" << FAIL;
+ }
+ work++;
+ }
+ }
+ cerr << "stress tested: " << work << endl;
+}
+
+constexpr int N = 25;
+constexpr ll mod = 1'394'633'899;
+void performance_test() {
+ timer t;
+ hash_t hash = 0;
+ overwrite = sqrt(mod);
+ for (int operations = 0; operations < N; operations++) {
+ ll a = Random::integer<ll>(1, mod);
+ ll b = Random::integer<ll>(0, mod);
+ t.start();
+ hash += dlog(a, b, mod);
+ t.stop();
+ }
+ if (t.time > 500) cerr << "too slow: " << t.time << FAIL;
+ cerr << "tested performance: " << t.time << "ms (hash: " << hash << ")" << endl;
+}
+
+
+int main() {
+ stress_test([](ll p){return sqrtl(p);});
+ stress_test([](ll p){return min<ll>(10, p - 1);});
+ stress_test([](ll p){return min<ll>(p - 1, sqrtl(p) + 100);});
+ performance_test();
+}
+