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modint_test.cpp
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#include "atcoder/modint"
#include <type_traits>
#include <gtest/gtest.h>
using namespace atcoder;
using ll = long long;
ll gcd(ll a, ll b) {
if (b == 0) return a;
return gcd(b, a % b);
}
static_assert(internal::is_modint<static_modint<1>>::value, "");
static_assert(internal::is_modint<static_modint<998244353>>::value, "");
static_assert(internal::is_modint<modint>::value, "");
static_assert(internal::is_modint<dynamic_modint<0>>::value, "");
static_assert(!internal::is_modint<int>::value, "");
static_assert(internal::is_static_modint<static_modint<1>>::value, "");
static_assert(internal::is_static_modint<static_modint<998244353>>::value, "");
static_assert(internal::is_static_modint<modint998244353>::value, "");
static_assert(internal::is_static_modint<modint1000000007>::value, "");
static_assert(!internal::is_static_modint<modint>::value, "");
static_assert(!internal::is_static_modint<dynamic_modint<0>>::value, "");
static_assert(!internal::is_static_modint<int>::value, "");
static_assert(!internal::is_dynamic_modint<static_modint<1>>::value, "");
static_assert(!internal::is_dynamic_modint<static_modint<998244353>>::value,
"");
static_assert(internal::is_dynamic_modint<modint>::value, "");
static_assert(internal::is_dynamic_modint<dynamic_modint<0>>::value, "");
static_assert(!internal::is_dynamic_modint<int>::value, "");
static_assert(std::is_same<modint, dynamic_modint<-1>>::value, "");
static_assert(modint998244353::mod() == 998244353, "");
static_assert(modint1000000007::mod() == 1000000007, "");
TEST(ModintTest, DynamicBorder) {
using mint = modint;
const int mod_upper = std::numeric_limits<int>::max();
for (unsigned int mod = mod_upper; mod >= mod_upper - 20; mod--) {
mint::set_mod(mod);
std::vector<ll> v;
for (int i = 0; i < 10; i++) {
v.push_back(i);
v.push_back(mod - i);
v.push_back(mod / 2 + i);
v.push_back(mod / 2 - i);
}
for (ll a : v) {
ASSERT_EQ(((a * a) % mod * a) % mod, (mint(a).pow(3)).val());
for (ll b : v) {
ASSERT_EQ((a + b) % mod, (mint(a) + mint(b)).val());
ASSERT_EQ((a - b + mod) % mod, (mint(a) - mint(b)).val());
ASSERT_EQ((a * b) % mod, (mint(a) * mint(b)).val());
}
}
}
}
TEST(ModintTest, ULL) {
modint::set_mod(998244353);
ASSERT_NE(modint::mod() - 1, modint((unsigned long long)(-1)).val());
ASSERT_NE(0, ((unsigned long long)(-1) + modint(1)).val());
using mint = static_modint<998244353>;
ASSERT_NE(mint::mod() - 1, modint((unsigned long long)(-1)).val());
ASSERT_NE(0, ((unsigned long long)(-1) + mint(1)).val());
}
TEST(ModintTest, Mod1) {
modint::set_mod(1);
for (int i = 0; i < 100; i++) {
for (int j = 0; j < 100; j++) {
ASSERT_EQ((modint(i) * modint(j)).val(), 0);
}
}
ASSERT_EQ((modint(1234) + modint(5678)).val(), 0);
ASSERT_EQ((modint(1234) - modint(5678)).val(), 0);
ASSERT_EQ((modint(1234) * modint(5678)).val(), 0);
ASSERT_EQ((modint(1234).pow(5678)), 0);
ASSERT_EQ(0, modint(0).inv());
ASSERT_EQ(0, modint(true).val());
using mint = static_modint<1>;
for (int i = 0; i < 100; i++) {
for (int j = 0; j < 100; j++) {
ASSERT_EQ((mint(i) * mint(j)).val(), 0);
}
}
ASSERT_EQ((mint(1234) + mint(5678)).val(), 0);
ASSERT_EQ((mint(1234) - mint(5678)).val(), 0);
ASSERT_EQ((mint(1234) * mint(5678)).val(), 0);
ASSERT_EQ((mint(1234).pow(5678)), 0);
ASSERT_EQ(0, modint(0).inv());
ASSERT_EQ(0, mint(true).val());
}
TEST(ModintTest, ModIntMax) {
modint::set_mod(INT32_MAX);
for (int i = 0; i < 100; i++) {
for (int j = 0; j < 100; j++) {
ASSERT_EQ((modint(i) * modint(j)).val(), i * j);
}
}
ASSERT_EQ((modint(1234) + modint(5678)).val(), 1234 + 5678);
ASSERT_EQ((modint(1234) - modint(5678)).val(), INT32_MAX - 5678 + 1234);
ASSERT_EQ((modint(1234) * modint(5678)).val(), 1234 * 5678);
using mint = static_modint<INT32_MAX>;
for (int i = 0; i < 100; i++) {
for (int j = 0; j < 100; j++) {
ASSERT_EQ((mint(i) * mint(j)).val(), i * j);
}
}
ASSERT_EQ((mint(1234) + mint(5678)).val(), 1234 + 5678);
ASSERT_EQ((mint(1234) - mint(5678)).val(), INT32_MAX - 5678 + 1234);
ASSERT_EQ((mint(1234) * mint(5678)).val(), 1234 * 5678);
ASSERT_EQ((mint(INT32_MAX) + mint(INT32_MAX)).val(), 0);
}
#ifndef _MSC_VER
TEST(ModintTest, Int128) {
modint::set_mod(998244353);
ASSERT_EQ(12345678, modint(__int128_t(12345678)).val());
ASSERT_EQ(12345678, modint(__uint128_t(12345678)).val());
ASSERT_EQ(12345678, modint(__int128(12345678)).val());
ASSERT_EQ(12345678, modint((unsigned __int128)(12345678)).val());
ASSERT_EQ(modint(2).pow(100).val(), modint(__int128_t(1) << 100).val());
ASSERT_EQ(modint(2).pow(100).val(), modint(__uint128_t(1) << 100).val());
using mint = static_modint<998244353>;
ASSERT_EQ(12345678, mint(__int128_t(12345678)).val());
ASSERT_EQ(12345678, mint(__uint128_t(12345678)).val());
ASSERT_EQ(12345678, mint(__int128(12345678)).val());
ASSERT_EQ(12345678, mint((unsigned __int128)(12345678)).val());
ASSERT_EQ(mint(2).pow(100).val(), mint(__int128_t(1) << 100).val());
ASSERT_EQ(mint(2).pow(100).val(), mint(__uint128_t(1) << 100).val());
}
#endif
TEST(ModintTest, Inv) {
for (int i = 1; i < 10; i++) {
int x = static_modint<11>(i).inv().val();
ASSERT_EQ(1, (x * i) % 11);
}
for (int i = 1; i < 11; i++) {
if (gcd(i, 12) != 1) continue;
int x = static_modint<12>(i).inv().val();
ASSERT_EQ(1, (x * i) % 12);
}
for (int i = 1; i < 100000; i++) {
int x = static_modint<1'000'000'007>(i).inv().val();
ASSERT_EQ(1, (ll(x) * i) % 1'000'000'007);
}
for (int i = 1; i < 100000; i++) {
if (gcd(i, 1'000'000'008) != 1) continue;
int x = static_modint<1'000'000'008>(i).inv().val();
ASSERT_EQ(1, (ll(x) * i) % 1'000'000'008);
}
modint::set_mod(998244353);
for (int i = 1; i < 100000; i++) {
int x = modint(i).inv().val();
ASSERT_LE(0, x);
ASSERT_GE(998244353 - 1, x);
ASSERT_EQ(1, (ll(x) * i) % 998244353);
}
modint::set_mod(1'000'000'008);
for (int i = 1; i < 100000; i++) {
if (gcd(i, 1'000'000'008) != 1) continue;
int x = modint(i).inv().val();
ASSERT_EQ(1, (ll(x) * i) % 1'000'000'008);
}
modint::set_mod(INT32_MAX);
for (int i = 1; i < 100000; i++) {
if (gcd(i, INT32_MAX) != 1) continue;
int x = modint(i).inv().val();
ASSERT_EQ(1, (ll(x) * i) % INT32_MAX);
}
}
TEST(ModintTest, ConstUsage) {
using sint = static_modint<11>;
const sint a = 9;
ASSERT_EQ(9, a.val());
using dint = modint;
dint::set_mod(11);
const dint b = 9;
ASSERT_EQ(9, b.val());
}
TEST(ModintTest, Increment) {
using sint = static_modint<11>;
using dint = modint;
dint::set_mod(11);
{
sint a;
a = 8;
ASSERT_EQ(9, (++a).val());
ASSERT_EQ(10, (++a).val());
ASSERT_EQ(0, (++a).val());
ASSERT_EQ(1, (++a).val());
a = 3;
ASSERT_EQ(2, (--a).val());
ASSERT_EQ(1, (--a).val());
ASSERT_EQ(0, (--a).val());
ASSERT_EQ(10, (--a).val());
a = 8;
ASSERT_EQ(8, (a++).val());
ASSERT_EQ(9, (a++).val());
ASSERT_EQ(10, (a++).val());
ASSERT_EQ(0, (a++).val());
ASSERT_EQ(1, a.val());
a = 3;
ASSERT_EQ(3, (a--).val());
ASSERT_EQ(2, (a--).val());
ASSERT_EQ(1, (a--).val());
ASSERT_EQ(0, (a--).val());
ASSERT_EQ(10, a.val());
}
{
dint a;
a = 8;
ASSERT_EQ(9, (++a).val());
ASSERT_EQ(10, (++a).val());
ASSERT_EQ(0, (++a).val());
ASSERT_EQ(1, (++a).val());
a = 3;
ASSERT_EQ(2, (--a).val());
ASSERT_EQ(1, (--a).val());
ASSERT_EQ(0, (--a).val());
ASSERT_EQ(10, (--a).val());
a = 8;
ASSERT_EQ(8, (a++).val());
ASSERT_EQ(9, (a++).val());
ASSERT_EQ(10, (a++).val());
ASSERT_EQ(0, (a++).val());
ASSERT_EQ(1, a.val());
a = 3;
ASSERT_EQ(3, (a--).val());
ASSERT_EQ(2, (a--).val());
ASSERT_EQ(1, (a--).val());
ASSERT_EQ(0, (a--).val());
ASSERT_EQ(10, a.val());
}
}
TEST(ModintTest, StaticUsage) {
using mint = static_modint<11>;
ASSERT_EQ(11, mint::mod());
ASSERT_EQ(4, +mint(4));
ASSERT_EQ(7, -mint(4));
ASSERT_FALSE(mint(1) == mint(3));
ASSERT_TRUE(mint(1) != mint(3));
ASSERT_TRUE(mint(1) == mint(12));
ASSERT_FALSE(mint(1) != mint(12));
EXPECT_DEATH(mint(3).pow(-1), ".*");
}
TEST(ModintTest, DynamicUsage) {
ASSERT_EQ(998244353, dynamic_modint<12345>::mod());
using mint = modint;
mint::set_mod(998244353);
ASSERT_EQ(998244353, mint::mod());
ASSERT_EQ(3, (mint(1) + mint(2)).val());
ASSERT_EQ(3, (1 + mint(2)).val());
ASSERT_EQ(3, (mint(1) + 2).val());
mint::set_mod(3);
ASSERT_EQ(3, mint::mod());
ASSERT_EQ(1, (mint(2) - mint(1)).val());
ASSERT_EQ(0, (mint(1) + mint(2)).val());
mint::set_mod(11);
ASSERT_EQ(11, mint::mod());
ASSERT_EQ(4, (mint(3) * mint(5)).val());
ASSERT_EQ(4, +mint(4));
ASSERT_EQ(7, -mint(4));
ASSERT_FALSE(mint(1) == mint(3));
ASSERT_TRUE(mint(1) != mint(3));
ASSERT_TRUE(mint(1) == mint(12));
ASSERT_FALSE(mint(1) != mint(12));
EXPECT_DEATH(mint(3).pow(-1), ".*");
}
TEST(ModintTest, Constructor) {
modint::set_mod(11);
ASSERT_EQ(1, modint(true).val());
ASSERT_EQ(3, modint((char)(3)).val());
ASSERT_EQ(3, modint((signed char)(3)).val());
ASSERT_EQ(3, modint((unsigned char)(3)).val());
ASSERT_EQ(3, modint((short)(3)).val());
ASSERT_EQ(3, modint((unsigned short)(3)).val());
ASSERT_EQ(3, modint((int)(3)).val());
ASSERT_EQ(3, modint((unsigned int)(3)).val());
ASSERT_EQ(3, modint((long)(3)).val());
ASSERT_EQ(3, modint((unsigned long)(3)).val());
ASSERT_EQ(3, modint((long long)(3)).val());
ASSERT_EQ(3, modint((unsigned long long)(3)).val());
ASSERT_EQ(1, modint((signed char)(-10)).val());
ASSERT_EQ(1, modint((short)(-10)).val());
ASSERT_EQ(1, modint((int)(-10)).val());
ASSERT_EQ(1, modint((long)(-10)).val());
ASSERT_EQ(1, modint((long long)(-10)).val());
ASSERT_EQ(2, (int(1) + modint(1)).val());
ASSERT_EQ(2, (short(1) + modint(1)).val());
modint m;
ASSERT_EQ(0, m.val());
}
TEST(ModintTest, ConstructorStatic) {
using mint = static_modint<11>;
ASSERT_EQ(1, mint(true).val());
ASSERT_EQ(3, mint((char)(3)).val());
ASSERT_EQ(3, mint((signed char)(3)).val());
ASSERT_EQ(3, mint((unsigned char)(3)).val());
ASSERT_EQ(3, mint((short)(3)).val());
ASSERT_EQ(3, mint((unsigned short)(3)).val());
ASSERT_EQ(3, mint((int)(3)).val());
ASSERT_EQ(3, mint((unsigned int)(3)).val());
ASSERT_EQ(3, mint((long)(3)).val());
ASSERT_EQ(3, mint((unsigned long)(3)).val());
ASSERT_EQ(3, mint((long long)(3)).val());
ASSERT_EQ(3, mint((unsigned long long)(3)).val());
ASSERT_EQ(1, mint((signed char)(-10)).val());
ASSERT_EQ(1, mint((short)(-10)).val());
ASSERT_EQ(1, mint((int)(-10)).val());
ASSERT_EQ(1, mint((long)(-10)).val());
ASSERT_EQ(1, mint((long long)(-10)).val());
ASSERT_EQ(2, (int(1) + mint(1)).val());
ASSERT_EQ(2, (short(1) + mint(1)).val());
mint m;
ASSERT_EQ(0, m.val());
}