在javascript 2d矩阵中查找连接的组件
我的数组可能如下所示：
var array = [
[1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]
[0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0]
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0]
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0]
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
]
我想找到这个2d矩阵中的所有连通分量，比如中间的'E'字符，（我们称之为SQUARE）在左上角和另一个“square”在右下角用不同的数字标记它们以得到这样的结果：
var result = [
[1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0]
[0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0]
[0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0]
[0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0]
[0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0]
[0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,3,0,0,0]
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,0,0]
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,0,0]
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
]
我的代码绝对运行如下：
var array = [
[1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
]
function find_connected_components(array) {
var default_value=1;
function test_connection(array, i, j, value) {
if (array[i] && array[i][j] === -1) {
array[i][j] = value;
test_connection(array, i + 1, j, value);
test_connection(array, i, j + 1, value);
return true;
}
}
array.forEach(function (a) {
a.forEach(function (b, i, bb) {bb[i] = -b;});
});
array.forEach(function (a, i, aa) {
a.forEach(function (b, j, bb) {test_connection(aa, i, j, default_value) && default_value++;});
})
console.log(array.map(a => [a.join('')]).map(a => [a.join('')]))
}
find_connected_components(array)
但是 - 现在我的错误出现，直到我从上面旋转我的阵列。所以它看起来像这样：
var error_array = [
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0],
]
上面 error_array 的结果是完全错误的＆amp;我不知道如何解决这个问题。
PS：我没有编辑过ERROR数组代码片段，因为我的问题很长。 Soo请为自己尝试error_array。
我希望有人可以解释如何修复我的代码：）
编辑 1：这是error_array
的输出
提前感谢一百万人！
问候乔纳斯
2 个答案:
答案 0 :(得分：2)
一个问题：您的test_connection有点像flood fill algorithm，但它只会向右和向下移动。您需要修改您的功能以填充和向左填充。
它适用于第一种情况，因为当仅从左上角向右和向下移动时，可以正确填充“E”形状。但是当翻转“E”时（第二种情况，递归调用不再到达“E”的水平条。
答案 1 :(得分：0)
首先，将1的值更改为-1，因为您需要使用1作为标记。
然后，您可以迭代元素并执行检查，如果它具有标记-1，则将其更改为实际值。继续使用右边和底部的元素。
如果找到了元素，则增加值。
＆＃13;
＆＃13;
＆＃13;
＆＃13;
function test(array, i, j, value) {
if (array[i] && array[i][j] === -1) {
array[i][j] = value;
test(array, i -1, j, value);
test(array, i + 1, j, value);
test(array, i, j - 1, value);
test(array, i, j + 1, value);
return true;
}
}
var data = [[1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]],
value = 1;
data.forEach(function (a) {
a.forEach(function (b, i, bb) {
bb[i] = -b;
});
});
data.forEach(function (a, i, aa) {
a.forEach(function (b, j, bb) {
test(aa, i, j, value) && value++;
});
});
document.getElementById('out').innerHTML = data.map(function (a) { return a.join(' '); }).join('\n');<pre id="out"></pre>
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