XOR operation derivation, exchange data

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Release: 2016-08-08 09:20:43
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/*
 * 5 0101
 * 9 1010
 *
 * 5 ^ 5
 * 0101
 * 0101
 * -----
 * 0000
 * 得出第一个规律: 相同的数进行异或, 结果是0
 *
 * 9 ^ 5 ^ 6
 * 1010
 * 0101
 * ----
 * 1111
 *
 * 1111
 * 0110
 * ----
 * 1001
 *
 * 9 ^ 6 ^ 5
 * 1010
 * 0110
 * -----
 * 1100
 *
 * 1100
 * 0101
 * -----
 * 1001
 * 得到第二个规律: 异或的顺序是可以交换的
 *
 * 1001
 * 0000
 * ----
 * 1001
 *
 * 0101
 * 0000
 * ----
 * 0101
 * 得到第三个规律: 任何数和0异或, 结果是本身
 */

//规律1, 相同的数进行异或, 结果是0
//规律2, 异或的顺序可以交换 9 ^ 5 ^ 6 == 9 ^ 6 ^ 5
//规律3, 任何数和0异或, 结果是本身
//推导   a ^ b ^ a = b
//根据2  a ^ b ^ a = a ^ a ^ b
//根据1  a ^ b ^ a = a ^ a ^ b = 0 ^ b
//根据3  a ^ b ^ a = a ^ a ^ b = 0 ^ b = b

echo PHP_EOL;
function swap($a, $b)
{
    $a ^= $b;  //  a = (a ^ b);
    $b ^= $a;  //  b = (a ^ b) ^ b; 结果就是 b = a
    $a ^= $b;  //  a = (a ^ b) ^ (a ^ b ^ b); 两个a合并为0, 两个b合并为0, 最后就剩下b, 结果是 a = b
    echo $a.$b;
}
swap(1, 2);
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The above introduces the derivation of XOR operation and exchange of data, including the content. I hope it will be helpful to friends who are interested in PHP tutorials.

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