JS实现红黑树

From OCaml #bucklescript#

// Generated by BUCKLESCRIPT VERSION 1.9.2, PLEASE EDIT WITH CARE
'use strict';


function height(param) {
  if (param) {
    return param[3];
  } else {
    return 0;
  }
}

function create(l, v, r) {
  var hl = height(l);
  var hr = height(r);
  return /* Node */[
          l,
          v,
          r,
          hl >= hr ? hl + 1 | 0 : hr + 1 | 0
        ];
}

function bal(l, v, r) {
  var hl = height(l);
  var hr = height(r);
  if (hl > (hr + 2 | 0)) {
    if (l) {
      var lr = l[2];
      var lv = l[1];
      var ll = l[0];
      if (height(ll) >= height(lr)) {
        return create(ll, lv, create(lr, v, r));
      } else if (lr) {
        return create(create(ll, lv, lr[0]), lr[1], create(lr[2], v, r));
      } else {
        return /* Empty */0;
      }
    } else {
      return /* Empty */0;
    }
  } else if (hr > (hl + 2 | 0)) {
    if (r) {
      var rr = r[2];
      var rv = r[1];
      var rl = r[0];
      if (height(rr) >= height(rl)) {
        return create(create(l, v, rl), rv, rr);
      } else if (rl) {
        return create(create(l, v, rl[0]), rl[1], create(rl[2], rv, rr));
      } else {
        return /* Empty */0;
      }
    } else {
      return /* Empty */0;
    }
  } else {
    return /* Node */[
            l,
            v,
            r,
            hl >= hr ? hl + 1 | 0 : hr + 1 | 0
          ];
  }
}

function compare_int(x, y) {
  if (x > y) {
    return 1;
  } else if (x === y) {
    return 0;
  } else {
    return -1;
  }
}

function add(x, t) {
  if (t) {
    var r = t[2];
    var v = t[1];
    var l = t[0];
    var c = compare_int(x, v);
    if (c) {
      if (c < 0) {
        return bal(add(x, l), v, r);
      } else {
        return bal(l, v, add(x, r));
      }
    } else {
      return t;
    }
  } else {
    return /* Node */[
            /* Empty */0,
            x,
            /* Empty */0,
            1
          ];
  }
}

function min_elt(_def, _param) {
  while(true) {
    var param = _param;
    var def = _def;
    if (param) {
      var l = param[0];
      if (l) {
        _param = l;
        _def = param[1];
        continue ;

      } else {
        return param[1];
      }
    } else {
      return def;
    }
  };
}

function remove_min_elt(l, v, r) {
  if (l) {
    return bal(remove_min_elt(l[0], l[1], l[2]), v, r);
  } else {
    return r;
  }
}

function internal_merge(l, r) {
  if (l) {
    if (r) {
      var rv = r[1];
      return bal(l, min_elt(rv, r), remove_min_elt(r[0], rv, r[2]));
    } else {
      return l;
    }
  } else {
    return r;
  }
}

function remove(x, tree) {
  if (tree) {
    var r = tree[2];
    var v = tree[1];
    var l = tree[0];
    var c = compare_int(x, v);
    if (c) {
      if (c < 0) {
        return bal(remove(x, l), v, r);
      } else {
        return bal(l, v, remove(x, r));
      }
    } else {
      return internal_merge(l, r);
    }
  } else {
    return /* Empty */0;
  }
}

function mem(x, _param) {
  while(true) {
    var param = _param;
    if (param) {
      var c = compare_int(x, param[1]);
      if (c) {
        _param = c < 0 ? param[0] : param[2];
        continue ;

      } else {
        return /* true */1;
      }
    } else {
      return /* false */0;
    }
  };
}

var v = /* Empty */0;

for(var i = 0; i <= 100000; ++i){
  v = add(i, v);
}

for(var j = 0; j <= 100000; ++j){
  if (!mem(j, v)) {
    console.log("impossible");
  }

}

for(var k = 0; k <= 100000; ++k){
  v = remove(k, v);
}

var match = v;

if (match) {
  console.log("impossible");
} else {
  console.log("success");
}

exports.height         = height;
exports.create         = create;
exports.bal            = bal;
exports.compare_int    = compare_int;
exports.add            = add;
exports.min_elt        = min_elt;
exports.remove_min_elt = remove_min_elt;
exports.internal_merge = internal_merge;
exports.remove         = remove;
exports.mem            = mem;
/*  Not a pure module */
可以使用以下步骤来实现红黑树: 1. 定义节点结构体,包括键值、左右子节点、父节点、颜色等属性。 2. 定义红黑树类,包括插入、删除、查找等方法。 3. 实现插入方法,首先按照二叉搜索树的方式插入节点,然后根据红黑树的规则进行颜色调整和旋转操作,使得树保持平衡。 4. 实现删除方法,首先按照二叉搜索树的方式删除节点,然后根据红黑树的规则进行颜色调整和旋转操作,使得树保持平衡。 5. 实现查找方法,按照二叉搜索树的方式查找节点。 以下是 JavaScript 实现红黑树的示例代码: ```javascript class Node { constructor(key) { this.key = key; this.left = null; this.right = null; this.parent = null; this.color = 'red'; } } class RedBlackTree { constructor() { this.root = null; } insert(key) { const node = new Node(key); if (!this.root) { this.root = node; this.root.color = 'black'; return; } let current = this.root; while (current) { if (key < current.key) { if (!current.left) { current.left = node; node.parent = current; break; } current = current.left; } else { if (!current.right) { current.right = node; node.parent = current; break; } current = current.right; } } this.fixInsert(node); } fixInsert(node) { while (node.parent && node.parent.color === 'red') { if (node.parent === node.parent.parent.left) { const uncle = node.parent.parent.right; if (uncle && uncle.color === 'red') { node.parent.color = 'black'; uncle.color = 'black'; node.parent.parent.color = 'red'; node = node.parent.parent; } else { if (node === node.parent.right) { node = node.parent; this.rotateLeft(node); } node.parent.color = 'black'; node.parent.parent.color = 'red'; this.rotateRight(node.parent.parent); } } else { const uncle = node.parent.parent.left; if (uncle && uncle.color === 'red') { node.parent.color = 'black'; uncle.color = 'black'; node.parent.parent.color = 'red'; node = node.parent.parent; } else { if (node === node.parent.left) { node = node.parent; this.rotateRight(node); } node.parent.color = 'black'; node.parent.parent.color = 'red'; this.rotateLeft(node.parent.parent); } } } this.root.color = 'black'; } delete(key) { const node = this.search(key); if (!node) { return; } let child; if (!node.left || !node.right) { child = node.left || node.right; } else { const successor = this.successor(node); node.key = successor.key; node.color = successor.color; node.left = successor.left; node.right = successor.right; child = successor.left || successor.right; } if (child) { child.parent = node.parent; } if (!node.parent) { this.root = child; } else if (node === node.parent.left) { node.parent.left = child; } else { node.parent.right = child; } if (node.color === 'black') { this.fixDelete(child, node.parent); } } fixDelete(node, parent) { while (node !== this.root && (!node || node.color === 'black')) { if (node === parent.left) { let sibling = parent.right; if (sibling.color === 'red') { sibling.color = 'black'; parent.color = 'red'; this.rotateLeft(parent); sibling = parent.right; } if ((!sibling.left || sibling.left.color === 'black') && (!sibling.right || sibling.right.color === 'black')) { sibling.color = 'red'; node = parent; parent = node.parent; } else { if (!sibling.right || sibling.right.color === 'black') { sibling.left.color = 'black'; sibling.color = 'red'; this.rotateRight(sibling); sibling = parent.right; } sibling.color = parent.color; parent.color = 'black'; sibling.right.color = 'black'; this.rotateLeft(parent); node = this.root; } } else { let sibling = parent.left; if (sibling.color === 'red') { sibling.color = 'black'; parent.color = 'red'; this.rotateRight(parent); sibling = parent.left; } if ((!sibling.left || sibling.left.color === 'black') && (!sibling.right || sibling.right.color === 'black')) { sibling.color = 'red'; node = parent; parent = node.parent; } else { if (!sibling.left || sibling.left.color === 'black') { sibling.right.color = 'black'; sibling.color = 'red'; this.rotateLeft(sibling); sibling = parent.left; } sibling.color = parent.color; parent.color = 'black'; sibling.left.color = 'black'; this.rotateRight(parent); node = this.root; } } } if (node) { node.color = 'black'; } } search(key) { let current = this.root; while (current) { if (key === current.key) { return current; } else if (key < current.key) { current = current.left; } else { current = current.right; } } return null; } successor(node) { if (node.right) { let current = node.right; while (current.left) { current = current.left; } return current; } else { let current = node.parent; while (current && node === current.right) { node = current; current = current.parent; } return current; } } rotateLeft(node) { const right = node.right; node.right = right.left; if (right.left) { right.left.parent = node; } right.parent = node.parent; if (!node.parent) { this.root = right; } else if (node === node.parent.left) { node.parent.left = right; } else { node.parent.right = right; } right.left = node; node.parent = right; } rotateRight(node) { const left = node.left; node.left = left.right; if (left.right) { left.right.parent = node; } left.parent = node.parent; if (!node.parent) { this.root = left; } else if (node === node.parent.right) { node.parent.right = left; } else { node.parent.left = left; } left.right = node; node.parent = left; } } ``` 注意:这只是一个简单的实现,可能存在性能问题和 bug,仅供参考。
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