upd: first version of *

include/int2048.h

@@ -15,14 +15,39 @@ class int2048 {
    * 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.
    */
-  size_t buf_length = 0;
   const static int kMod = 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;
 
-  void NTT(__int128_t *, int, int);
+  __int128_t QuickPow(__int128_t v, long long q);
+  void NTTTransform(__int128_t *, int, bool);
 
  public:
   int2048();