我正在尝试为国际象棋游戏实现 Zobrist 散列,并认为我做的事情是正确的。但是,当我尝试对哈希值应用 XOR 时,它只是在 0(哈希的起始值)和 -2147483648 之间变化,尽管对 0 到 18446744073709551616 之间的随机数进行按位 XOR。
这是一些代码。我认为它相对简单,网格中的每个条目都有一个结构,一个用于创建条目的构造函数,一个创建哈希表的函数,最后一个用于哈希本身。
//Hash Table struct. This can be expanded for each new piece type
HashTableEntry = {
QueenHash:-1,
BishopHash:-1,
KnightHash:-1,
RookHash:-1,
PawnHash:-1,
KingHash:-1
};
//A function for creating a Hash Table Entry
function toHashTableEntryStruct() constructor {
var HashUpperBound = 18446744073709551616;
QueenHash = random(HashUpperBound);
BishopHash = random(HashUpperBound);
KnightHash = random(HashUpperBound);
RookHash = random(HashUpperBound);
PawnHash = random(HashUpperBound);
KingHash = random(HashUpperBound);
}
//A function to create a ds_grid Hash Table of the size passed to it, which it then returns
function CreateHashTable(_width, _height){
//Copy the local variables
var width = _width;
var height = _height;
//Create the grid for the Hash Table
var NewHashTable = ds_grid_create(width, height);
//Copy the original seed and set the game's seed to create the same table each time
var OriginalSeed = random_get_seed;
random_set_seed(280804);
//Loop through the Grid and fill each value with a HashTableEntry struct
for(var i = 0; i < width; i++;){
for(var j = 0; j < height; j++;){
var NewHash = new toHashTableEntryStruct();
ds_grid_set(NewHashTable, i, j, NewHash);
}
}
//Reset the seed
random_set_seed(OriginalSeed);
//Return the shiny new Hash Table
return NewHashTable;
}
//A function for creating the original Hash of a board. This should only be called on
initialising a Board as it sets the Original Hash
function CreateBoardHash(_board){
var Board = _board;
var width = ds_grid_width(Board);
var height = ds_grid_height(Board);
HashTable = CreateHashTable(width, height);
var FinalHash = 0;
for(var i = 0; i < width; i++;){
for(var j = 0; j < height; j++;){
var PieceToCheck = ds_grid_get(Board, i, j);
if(PieceToCheck == Pieces.BLANK){ continue; }
var HashEntry = ds_grid_get(HashTable, i, j);
var XorValue = MatchPieceToHashTableEntry(PieceToCheck, HashEntry);
FinalHash ^= XorValue;
}
}
if(FinalHash == 0){
//Error here
return;
}
//Set the instance variable for this original Hash
OriginalHash = FinalHash;
//Add it to the Current Hash stack
CurrentHash = FinalHash;
//Return said hash for the calling function
return FinalHash;
}
问题出在 FinalHash ^= XorValue; 行,其中 XorValue 每次都是一个随机数,但 FinalHash 只会以 0 或 -2147483648 的形式出现。
有人可以帮助解释为什么会这样以及我的 XOR 函数可能做错了什么吗?