Compact serialization for amounts

Special serializer/deserializer for amount values. It is optimized for
values which have few non-zero digits in decimal representation. Most
amounts currently in the txout set take only 1 or 2 bytes to
represent.

src/main.cpp

@@ -4058,3 +4058,57 @@ void GenerateBitcoins(bool fGenerate, CWallet* pwallet)
         }
     }
 }
+
+// Amount compression:
+// * If the amount is 0, output 0
+// * first, divide the amount (in base units) by the largest power of 10 possible; call the exponent e (e is max 9)
+// * if e<9, the last digit of the resulting number cannot be 0; store it as d, and drop it (divide by 10)
+//   * call the result n
+//   * output 1 + 10*(9*n + d - 1) + e
+// * if e==9, we only know the resulting number is not zero, so output 1 + 10*(n - 1) + 9
+// (this is decodable, as d is in [1-9] and e is in [0-9])
+
+uint64 CTxOutCompressor::CompressAmount(uint64 n)
+{
+    if (n == 0)
+        return 0;
+    int e = 0;
+    while (((n % 10) == 0) && e < 9) {
+        n /= 10;
+        e++;
+    }
+    if (e < 9) {
+        int d = (n % 10);
+        assert(d >= 1 && d <= 9);
+        n /= 10;
+        return 1 + (n*9 + d - 1)*10 + e;
+    } else {
+        return 1 + (n - 1)*10 + 9;
+    }
+}
+
+uint64 CTxOutCompressor::DecompressAmount(uint64 x)
+{
+    // x = 0  OR  x = 1+10*(9*n + d - 1) + e  OR  x = 1+10*(n - 1) + 9
+    if (x == 0)
+        return 0;
+    x--;
+    // x = 10*(9*n + d - 1) + e
+    int e = x % 10;
+    x /= 10;
+    uint64 n = 0;
+    if (e < 9) {
+        // x = 9*n + d - 1
+        int d = (x % 9) + 1;
+        x /= 9;
+        // x = n
+        n = x*10 + d;
+    } else {
+        n = x+1;
+    }
+    while (e) {
+        n *= 10;
+        e--;
+    }
+    return n;
+}