upd: add some files

libs/int2048/int2048.h

@@ -0,0 +1,139 @@
+#pragma once
+#ifndef SJTU_BIGINTEGER
+#define SJTU_BIGINTEGER
+
+#include <complex>
+#include <cstdio>
+#include <cstring>
+#include <iostream>
+#include <vector>
+
+namespace ZYM {
+class int2048 {
+  /**
+   * If the interger is negative, flag = -1, otherwise flag = 1.
+   * num_length is the length of the integer, (num_length+kNum-1)/kNum is the
+   * length of val with data. Note that position in val without data is 0.
+   * buf_length is the accessiable length of val.
+   */
+  const static int kStoreBase = 100000000, kNum = 8, kDefaultLength = 10;
+  const static int kMemAdditionScalar = 2, kMemDeleteScalar = 4;
+  /**
+   * the follow data used by NTT is generated by this code:
+#!/usr/bin/python3
+from sympy import isprime,primitive_root
+found=False
+for i in range(0,20):
+        for j in range(2**i,(2**(i+1))):
+                V=j*(2**(57-i))+1
+                if isprime(V):
+                        found=True
+                        print(j,57-i)
+                        print("number=",V)
+                        print("root=",primitive_root(V))
+                        exit(0)
+  * it out puts:
+95 55
+number= 180143985094819841
+root= 6
+  */
+  const static __int128_t kNTTMod = 180143985094819841ll;
+  const static __int128_t kNTTRoot = 6;
+  const static int kNTTBlockNum = 4;
+  const static int kNTTBlcokBase = 10000;
+
+  size_t buf_length = 0;
+  int *val = nullptr;
+  signed char flag = +1;
+  int num_length = 0;
+
+  __int128_t QuickPow(__int128_t v, long long q);
+  void NTTTransform(__int128_t *, int, bool);
+  friend int2048 GetInv(const int2048 &, int);
+  void UnsignedMultiplyByInt(int);
+
+ public:
+  int2048();
+  int2048(long long);
+  int2048(const std::string &);
+  int2048(const int2048 &);
+  int2048(int2048 &&) noexcept;
+  ~int2048();
+
+  /**
+   * @brief Move the integer left (*10^k) or right(//10^k).
+   */
+  void LeftMoveBy(int);
+  void RightMoveBy(int);
+
+  void read(const std::string &);
+  void print();
+  void print_debug();
+  // function print_debug is used to print the data in val to stderr(with '\n'),
+  // for debug
+
+  void ClaimMem(size_t);
+  // something like vector's reserve
+
+  /**
+   * Fuctions whose name starts with Unsigned are basic operation. It receives
+   * int2048& A and const int2048* pB(UnsignedCmp receives const int2048& B),
+   * and do the operation A op= *pB. Warning: the address of A and pB must be
+   * different.
+   */
+  inline friend int UnsignedCmp(const int2048 &, const int2048 &);
+  inline friend void UnsignedAdd(int2048 &, const int2048 *);
+  inline friend void UnsignedMinus(int2048 &, const int2048 *);
+  int2048 &add(const int2048 &);
+  friend int2048 add(int2048, const int2048 &);
+
+  int2048 &minus(const int2048 &);
+  friend int2048 minus(int2048, const int2048 &);
+
+  int2048 operator+() const;
+  int2048 operator-() const;
+
+  int2048 &operator=(const int2048 &);
+  int2048 &operator=(int2048 &&) noexcept;
+
+  int2048 &operator+=(const int2048 &);
+  friend int2048 operator+(int2048, const int2048 &);
+
+  int2048 &operator-=(const int2048 &);
+  friend int2048 operator-(int2048, const int2048 &);
+
+  inline friend void UnsignedMultiply(int2048 &, const int2048 *);
+  int2048 &Multiply(const int2048 &);
+  friend int2048 Multiply(int2048, const int2048 &);
+
+  int2048 &operator*=(const int2048 &);
+  friend int2048 operator*(int2048, const int2048 &);
+
+  inline friend void UnsignedDivide(int2048 &, const int2048 *);
+  int2048 &Divide(const int2048 &);
+  friend int2048 Divide(int2048, const int2048 &);
+
+  /**
+   * If the denominator is zero, the result is undefined.
+   * But actually it will return 0 with no exception thrown.
+   * And % operation is also based on this rule.
+   */
+  int2048 &operator/=(const int2048 &);
+  friend int2048 operator/(int2048, const int2048 &);
+
+  int2048 &operator%=(const int2048 &);
+  friend int2048 operator%(int2048, const int2048 &);
+
+  friend std::istream &operator>>(std::istream &, int2048 &);
+  friend std::ostream &operator<<(std::ostream &, const int2048 &);
+
+  friend bool operator==(const int2048 &, const int2048 &);
+  friend bool operator!=(const int2048 &, const int2048 &);
+  friend bool operator<(const int2048 &, const int2048 &);
+  friend bool operator>(const int2048 &, const int2048 &);
+  friend bool operator<=(const int2048 &, const int2048 &);
+  friend bool operator>=(const int2048 &, const int2048 &);
+};
+}  // namespace sjtu
+
+#endif