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Decimal.cpp
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150 lines (150 loc) · 3.94 KB
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#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
#define IOS \
ios::sync_with_stdio(0); \
cin.tie(0); \
cout.tie(0)
#define rep(i, j, k) for (int i = j; i <= k; ++i)
#define rrep(i, j, k) for (int i = j; i >= k; --i)
#define clr(a, b) memset(a, b, sizeof(a))
const int INF = 0x3f3f3f3f;
const int MOD = 1e9 + 7;
const double EPS = 1e-8;
const int N = 105;
struct decimal {
int a[N] = {};
decimal(int num = 0) {
for (int i = 0; i < N && num; ++i) {
a[i] = num % 10;
num /= 10;
}
}
decimal(const string& s) {
for (int i = 0; i < s.size(); ++i) a[i] = s[s.size() - i - 1] - '0';
}
operator string() const {
string res;
int i = N - 1;
for (; i > 0 && a[i] == 0; --i);
for (; i >= 0; --i) res += a[i] + '0';
return res;
}
decimal operator+(const decimal& x) const {
decimal res(0);
int car = 0;
int sum = 0;
for (int i = 0; i < N; ++i) {
sum = a[i] + x.a[i] + car;
car = sum / 10;
res.a[i] = sum % 10;
}
return res;
}
decimal& operator+=(const decimal& x) { return *this = *this + x; }
decimal operator-(const decimal& x) const {
decimal res(0);
int car = 0;
int sum = 0;
for (int i = 0; i < N; ++i) {
sum = a[i] - x.a[i] + car;
car = (sum + 10) / 10 - 1;
res.a[i] = (sum + 10) % 10;
}
return res;
}
decimal& operator-=(const decimal& x) { return *this = *this - x; }
decimal operator*(int x) const {
decimal res(*this);
for (int i = 0; i < N; ++i) res.a[i] *= x;
int car = 0;
int sum = 0;
for (int i = 0; i < N; ++i) {
sum = res.a[i] + car;
car = sum / 10;
res.a[i] = sum % 10;
}
return res;
}
decimal operator*(const decimal& x) const {
decimal res(0);
for (int i = 0; i < N; ++i) {
decimal tmp = *this * x.a[i] << i;
res = res + tmp;
}
return res;
}
decimal& operator*=(const decimal& x) { return *this = *this * x; }
decimal operator/(const decimal& x) const {
decimal res(0);
decimal y(*this);
for (int i = N - 1; i >= 0; --i) {
decimal z = x << i;
while (y >= z) {
y -= z;
res += decimal(1) << i;
}
}
return res;
}
decimal& operator/=(const decimal& x) { return *this = *this / x; }
decimal operator%(const decimal& x) const {
decimal y(*this);
for (int i = N - 1; i >= 0; --i) {
decimal z = x << i;
while (y >= z) y -= z;
}
return y;
}
decimal& operator%=(const decimal& x) { return *this = *this % x; }
bool operator==(const decimal& x) const {
for (int i = 0; i < N; ++i) {
if (a[i] != x.a[i]) return false;
}
return true;
}
bool operator!=(const decimal& x) const { return !(*this == x); }
bool operator<(const decimal& x) const {
for (int i = N - 1; i >= 0; --i) {
if (a[i] != x.a[i]) return a[i] < x.a[i];
}
return false;
}
bool operator<=(const decimal& x) const { return *this < x || *this == x; }
bool operator>(const decimal& x) const {
for (int i = N - 1; i >= 0; --i) {
if (a[i] != x.a[i]) return a[i] > x.a[i];
}
return false;
}
bool operator>=(const decimal& x) const { return *this > x || *this == x; }
decimal operator<<(int x) const {
decimal res(*this);
for (int i = N - 1; i >= x; --i) res.a[i] = res.a[i - x];
for (int i = x - 1; i >= 0; --i) res.a[i] = 0;
return res;
}
decimal operator>>(int x) const {
decimal res(*this);
for (int i = 0; i < N - x; ++i) res.a[i] = res.a[i + x];
for (int i = N - x; i < N; ++i) res.a[i] = 0;
return res;
}
decimal suffix(int x) const {
decimal res(*this);
for (int i = x; i < N; ++i) res.a[i] = 0;
return res;
}
};
istream& operator>>(istream& is, decimal& num) {
string s;
is >> s;
num = s;
return is;
}
ostream& operator<<(ostream& os, const decimal& num) {
os << string(num);
return os;
}