编写一段代码，用Vue实现DataGrid中常见的单元格编辑操作，且单元格之间存在公式联动（效果类似于Excel里的公式），而不刷新整个表格。

好的，以下是可以回答的代码：

<template>
<div>
<table>
<thead>
<tr>
<th>姓名</th>
<th>年龄</th>
<th>籍贯</th>
</tr>
</thead>
<tbody>
<tr v-for="(person, index) in people" :key="index">
<td @dblclick="enableEdit(person, 'name')" v-html="person.name"></td>
<td @dblclick="enableEdit(person, 'age')" v-html="person.age"></td>
<td @dblclick="enableEdit(person, 'birthplace')" v-html="person.birthplace"></td>
</tr>
</tbody>
</table>
</div>
</template>

<script>
export default {
data() {
return {
people: [
{ name: '张三', age: 20, birthplace: '北京' },
{ name: '李四', age: 25, birthplace: '上海' },
{ name: '王五', age: 30, birthplace: '广州' },
],
editIndex: -1,
editType: '',
editingValue: '',
};
},
methods: {
enableEdit(person, type) {
this.editIndex = this.people.indexOf(person);
this.editType = type;
this.editingValue = person[type];
},
cancelEdit() {
this.editIndex = -1;
this.editType = '';
this.editingValue = '';
},
saveEdit() {
this.people[this.editIndex][this.editType] = this.editingValue;
this.editIndex = -1;
this.editType = '';
this.editingValue = '';
},
},
computed: {
editingPerson() {
return this.people[this.editIndex];
},
relatedPeople() {
return this.people.filter((p, i) => {
if (i === this.editIndex) return false;
if (this.editType === 'name' && p.name === this.editingValue) return true;
if (this.editType === 'age' && p.age === this.editingValue) return true;
if (this.editType === 'birthplace' && p.birthplace === this.editingValue) return true;
return false;
});
},
},
watch: {
editingValue: {
handler(val) {
this.relatedPeople.forEach(p => {
if (this.editType === 'name') p.name = val;
if (this.editType === 'age') p.age = val;
if (this.editType === 'birthplace') p.birthplace = val;
});
},
},
},
};
</script>

当然，这只是一个简单的模板，还需要根据实际情况进行修改和扩展。