1 files changed, 127 insertions, 0 deletions
diff --git a/test/geometry/formulas.cpp b/test/geometry/formulas.cpp
new file mode 100644
index 0000000..d63d431
--- /dev/null
+++ b/test/geometry/formulas.cpp
@@ -0,0 +1,127 @@
+#include "../util.h"
+constexpr ll EPS = 0;
+#define double ll
+#define polar polar<ll>
+#include <geometry/formulas.cpp>
+#undef polar
+#undef double
+
+void test_dot(ll range) {
+	ll queries = 0;
+	for (int tries = 0; tries < 100'000; tries++) {
+		auto p = Random::point<ll>(-range, range);
+		auto q = Random::point<ll>(-range, range);
+
+		ll expected = real(p) * real(q) + imag(p) * imag(q);
+		ll got = dot(p, q);
+
+		if (got != expected) cerr << "got: " << got << ", expected: " << expected << FAIL;
+		queries++;
+	}
+	cerr << "tested dot: " << queries << endl;
+}
+
+void test_norm(ll range) {
+	ll queries = 0;
+	for (int tries = 0; tries < 100'000; tries++) {
+		auto p = Random::point<ll>(-range, range);
+
+		ll expected = real(p) * real(p) + imag(p) * imag(p);
+		ll got = norm(p);
+
+		if (got != expected) cerr << "got: " << got << ", expected: " << expected << FAIL;
+		queries++;
+	}
+	cerr << "tested norm: " << queries << endl;
+}
+
+void test_cross(ll range) {
+	ll queries = 0;
+	for (int tries = 0; tries < 100'000; tries++) {
+		auto p = Random::point<ll>(-range, range);
+		auto q = Random::point<ll>(-range, range);
+
+		ll expected = real(p) * imag(q) - imag(p) * real(q);
+		ll got = cross(p, q);
+
+		if (got != expected) cerr << "got: " << got << ", expected: " << expected << FAIL;
+		queries++;
+	}
+	cerr << "tested cross1: " << queries << endl;
+
+	queries = 0;
+	for (int tries = 0; tries < 100'000; tries++) {
+		auto a = Random::point<ll>(-range, range);
+		auto b = Random::point<ll>(-range, range);
+		auto c = Random::point<ll>(-range, range);
+
+		ll expected = cross(b - a, c - a);
+		ll got = cross(a, b, c);
+
+		if (got != expected) cerr << "got: " << got << ", expected: " << expected << FAIL;
+		queries++;
+	}
+	cerr << "tested cross2: " << queries << endl;
+}
+
+void test_ccw(ll range) {
+	ll queries = 0;
+	for (int tries = 0; tries < 100'000; tries++) {
+		auto a = Random::point<ll>(-range, range);
+		auto b = Random::point<ll>(-range, range);
+		auto c = Random::point<ll>(-range, range);
+
+		ll expected = cross(a, b, c);
+		if (expected < 0) expected = -1;
+		if (expected > 0) expected = 1;
+		ll got = ccw(a, b, c);
+
+		if (got != expected) cerr << "got: " << got << ", expected: " << expected << FAIL;
+		queries++;
+	}
+	cerr << "tested ccw: " << queries << endl;
+}
+
+void test_isCoplanar(ll range) {(void) range;}// cant check this...
+
+void test_uniqueAngle(ll range) {
+	auto lessPt = [](pt a, pt b){
+		if (real(a) != real(b)) return real(a) < real(b);
+		return imag(a) < imag(b);
+	};
+	map<pt, pt, decltype(lessPt)> seen(lessPt);
+
+	ll queries = 0;
+	for (int tries = 0; tries < 100'000; tries++) {
+		pt expected = Random::point<ll>(-sqrt(range), sqrt(range));
+		ll g = abs(gcd(real(expected), imag(expected)));
+		if (g == 0) continue;
+		expected /= g;
+
+		pt rot = Random::point<ll>(-sqrt(range), sqrt(range));
+		if (norm(rot) == 0) continue;
+
+		pt got = uniqueAngle(expected * rot, pt(Random::integer<ll>(1, sqrt(range)), 0) * rot);
+		auto it = seen.emplace(got, expected).first;
+
+		if (it->second != expected) cerr << "error: inconsistent" << FAIL;
+		queries++;
+	}
+	cerr << "tested uniqueAngle: " << queries << " (" << sz(seen) << ")" << endl;
+}
+
+int main() {
+	test_dot(100);
+	test_dot(1'000'000'000);
+	test_norm(100);
+	test_norm(1'000'000'000);
+	test_cross(100);
+	test_cross(1'000'000'000);
+	test_ccw(100);
+	test_ccw(1'000'000'000);
+	test_isCoplanar(100);
+	test_isCoplanar(1'000'000'000);
+	test_uniqueAngle(100);
+	test_uniqueAngle(10'000);
+	test_uniqueAngle(1'000'000'000);
+}