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#include "CppUnitTest.h"
#include "seal/util/numth.h"
#include <cstdint>
using namespace Microsoft::VisualStudio::CppUnitTestFramework;
using namespace seal::util;
using namespace std;
namespace SEALTest
{
namespace util
{
TEST_CLASS(NumberTheoryTest)
{
public:
TEST_METHOD(GCD)
{
Assert::AreEqual(1ULL, gcd(1, 1));
Assert::AreEqual(1ULL, gcd(2, 1));
Assert::AreEqual(1ULL, gcd(1, 2));
Assert::AreEqual(2ULL, gcd(2, 2));
Assert::AreEqual(3ULL, gcd(6, 15));
Assert::AreEqual(3ULL, gcd(15, 6));
Assert::AreEqual(1ULL, gcd(7, 15));
Assert::AreEqual(1ULL, gcd(15, 7));
Assert::AreEqual(1ULL, gcd(7, 15));
Assert::AreEqual(3ULL, gcd(11112, 44445));
}
TEST_METHOD(ExtendedGCD)
{
tuple<uint64_t, int64_t, int64_t> result;
// Corner case behavior
result = xgcd(7, 7);
Assert::IsTrue(result == make_tuple<>(7, 0, 1));
result = xgcd(2, 2);
Assert::IsTrue(result == make_tuple<>(2, 0, 1));
result = xgcd(1, 1);
Assert::IsTrue(result == make_tuple<>(1, 0, 1));
result = xgcd(1, 2);
Assert::IsTrue(result == make_tuple<>(1, 1, 0));
result = xgcd(5, 6);
Assert::IsTrue(result == make_tuple<>(1, -1, 1));
result = xgcd(13, 19);
Assert::IsTrue(result == make_tuple<>(1, 3, -2));
result = xgcd(14, 21);
Assert::IsTrue(result == make_tuple<>(7, -1, 1));
result = xgcd(2, 1);
Assert::IsTrue(result == make_tuple<>(1, 0, 1));
result = xgcd(6, 5);
Assert::IsTrue(result == make_tuple<>(1, 1, -1));
result = xgcd(19, 13);
Assert::IsTrue(result == make_tuple<>(1, -2, 3));
result = xgcd(21, 14);
Assert::IsTrue(result == make_tuple<>(7, 1, -1));
}
TEST_METHOD(TryModInverse)
{
uint64_t input, modulus, result;
input = 1, modulus = 2;
Assert::IsTrue(try_mod_inverse(input, modulus, result));
Assert::AreEqual(result, 1ULL);
input = 2, modulus = 2;
Assert::IsFalse(try_mod_inverse(input, modulus, result));
input = 3, modulus = 2;
Assert::IsTrue(try_mod_inverse(input, modulus, result));
Assert::AreEqual(result, 1ULL);
input = 0xFFFFFF, modulus = 2;
Assert::IsTrue(try_mod_inverse(input, modulus, result));
Assert::AreEqual(result, 1ULL);
input = 0xFFFFFE, modulus = 2;
Assert::IsFalse(try_mod_inverse(input, modulus, result));
input = 12345, modulus = 3;
Assert::IsFalse(try_mod_inverse(input, modulus, result));
input = 5, modulus = 19;
Assert::IsTrue(try_mod_inverse(input, modulus, result));
Assert::AreEqual(result, 4ULL);
input = 4, modulus = 19;
Assert::IsTrue(try_mod_inverse(input, modulus, result));
Assert::AreEqual(result, 5ULL);
}
};
}
}