PHP实现AES256加密算法实例


Posted in PHP onSeptember 22, 2014

本文实例讲述了PHP实现AES256加密算法的方法,是较为常见的一种加密算法。分享给大家供大家参考。具体如下:

aes.class.php文件如下:

<?php 
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 
/* AES implementation in PHP (c) Chris Veness 2005-2011. Right of free use is granted for all  */ 
/*  commercial or non-commercial use under CC-BY licence. No warranty of any form is offered.  */ 
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 
  
class Aes { 
  
 /** 
  * AES Cipher function: encrypt 'input' with Rijndael algorithm 
  * 
  * @param input message as byte-array (16 bytes) 
  * @param w   key schedule as 2D byte-array (Nr+1 x Nb bytes) - 
  *       generated from the cipher key by keyExpansion() 
  * @return   ciphertext as byte-array (16 bytes) 
  */ 
 public static function cipher($input, $w) {  // main cipher function [§5.1] 
  $Nb = 4;         // block size (in words): no of columns in state (fixed at 4 for AES) 
  $Nr = count($w)/$Nb - 1; // no of rounds: 10/12/14 for 128/192/256-bit keys 
  
  $state = array(); // initialise 4xNb byte-array 'state' with input [§3.4] 
  for ($i=0; $i<4*$Nb; $i++) $state[$i%4][floor($i/4)] = $input[$i]; 
  
  $state = self::addRoundKey($state, $w, 0, $Nb); 
  
  for ($round=1; $round<$Nr; $round++) { // apply Nr rounds 
   $state = self::subBytes($state, $Nb); 
   $state = self::shiftRows($state, $Nb); 
   $state = self::mixColumns($state, $Nb); 
   $state = self::addRoundKey($state, $w, $round, $Nb); 
  } 
  
  $state = self::subBytes($state, $Nb); 
  $state = self::shiftRows($state, $Nb); 
  $state = self::addRoundKey($state, $w, $Nr, $Nb); 
  
  $output = array(4*$Nb); // convert state to 1-d array before returning [§3.4] 
  for ($i=0; $i<4*$Nb; $i++) $output[$i] = $state[$i%4][floor($i/4)]; 
  return $output; 
 } 
  
  
 private static function addRoundKey($state, $w, $rnd, $Nb) { // xor Round Key into state S [§5.1.4] 
  for ($r=0; $r<4; $r++) { 
   for ($c=0; $c<$Nb; $c++) $state[$r][$c] ^= $w[$rnd*4+$c][$r]; 
  } 
  return $state; 
 } 
  
 private static function subBytes($s, $Nb) {  // apply SBox to state S [§5.1.1] 
  for ($r=0; $r<4; $r++) { 
   for ($c=0; $c<$Nb; $c++) $s[$r][$c] = self::$sBox[$s[$r][$c]]; 
  } 
  return $s; 
 } 
  
 private static function shiftRows($s, $Nb) {  // shift row r of state S left by r bytes [§5.1.2] 
  $t = array(4); 
  for ($r=1; $r<4; $r++) { 
   for ($c=0; $c<4; $c++) $t[$c] = $s[$r][($c+$r)%$Nb]; // shift into temp copy 
   for ($c=0; $c<4; $c++) $s[$r][$c] = $t[$c];      // and copy back 
  }     // note that this will work for Nb=4,5,6, but not 7,8 (always 4 for AES): 
  return $s; // see fp.gladman.plus.com/cryptography_technology/rijndael/aes.spec.311.pdf  
 } 
  
 private static function mixColumns($s, $Nb) {  // combine bytes of each col of state S [§5.1.3] 
  for ($c=0; $c<4; $c++) { 
   $a = array(4); // 'a' is a copy of the current column from 's' 
   $b = array(4); // 'b' is a•{02} in GF(2^8) 
   for ($i=0; $i<4; $i++) { 
    $a[$i] = $s[$i][$c]; 
    $b[$i] = $s[$i][$c]&0x80 ? $s[$i][$c]<<1 ^ 0x011b : $s[$i][$c]<<1; 
   } 
   // a[n] ^ b[n] is a•{03} in GF(2^8) 
   $s[0][$c] = $b[0] ^ $a[1] ^ $b[1] ^ $a[2] ^ $a[3]; // 2*a0 + 3*a1 + a2 + a3 
   $s[1][$c] = $a[0] ^ $b[1] ^ $a[2] ^ $b[2] ^ $a[3]; // a0 * 2*a1 + 3*a2 + a3 
   $s[2][$c] = $a[0] ^ $a[1] ^ $b[2] ^ $a[3] ^ $b[3]; // a0 + a1 + 2*a2 + 3*a3 
   $s[3][$c] = $a[0] ^ $b[0] ^ $a[1] ^ $a[2] ^ $b[3]; // 3*a0 + a1 + a2 + 2*a3 
  } 
  return $s; 
 } 
  
 /** 
  * Key expansion for Rijndael cipher(): performs key expansion on cipher key 
  * to generate a key schedule 
  * 
  * @param key cipher key byte-array (16 bytes) 
  * @return  key schedule as 2D byte-array (Nr+1 x Nb bytes) 
  */ 
 public static function keyExpansion($key) { // generate Key Schedule from Cipher Key [§5.2] 
  $Nb = 4;       // block size (in words): no of columns in state (fixed at 4 for AES) 
  $Nk = count($key)/4; // key length (in words): 4/6/8 for 128/192/256-bit keys 
  $Nr = $Nk + 6;    // no of rounds: 10/12/14 for 128/192/256-bit keys 
  
  $w = array(); 
  $temp = array(); 
  
  for ($i=0; $i<$Nk; $i++) { 
   $r = array($key[4*$i], $key[4*$i+1], $key[4*$i+2], $key[4*$i+3]); 
   $w[$i] = $r; 
  } 
  
  for ($i=$Nk; $i<($Nb*($Nr+1)); $i++) { 
   $w[$i] = array(); 
   for ($t=0; $t<4; $t++) $temp[$t] = $w[$i-1][$t]; 
   if ($i % $Nk == 0) { 
    $temp = self::subWord(self::rotWord($temp)); 
    for ($t=0; $t<4; $t++) $temp[$t] ^= self::$rCon[$i/$Nk][$t]; 
   } else if ($Nk > 6 && $i%$Nk == 4) { 
    $temp = self::subWord($temp); 
   } 
   for ($t=0; $t<4; $t++) $w[$i][$t] = $w[$i-$Nk][$t] ^ $temp[$t]; 
  } 
  return $w; 
 } 
  
 private static function subWord($w) {  // apply SBox to 4-byte word w 
  for ($i=0; $i<4; $i++) $w[$i] = self::$sBox[$w[$i]]; 
  return $w; 
 } 
  
 private static function rotWord($w) {  // rotate 4-byte word w left by one byte 
  $tmp = $w[0]; 
  for ($i=0; $i<3; $i++) $w[$i] = $w[$i+1]; 
  $w[3] = $tmp; 
  return $w; 
 } 
  
 // sBox is pre-computed multiplicative inverse in GF(2^8) used in subBytes and keyExpansion [§5.1.1] 
 private static $sBox = array( 
  0x63,0x7c,0x77,0x7b,0xf2,0x6b,0x6f,0xc5,0x30,0x01,0x67,0x2b,0xfe,0xd7,0xab,0x76, 
  0xca,0x82,0xc9,0x7d,0xfa,0x59,0x47,0xf0,0xad,0xd4,0xa2,0xaf,0x9c,0xa4,0x72,0xc0, 
  0xb7,0xfd,0x93,0x26,0x36,0x3f,0xf7,0xcc,0x34,0xa5,0xe5,0xf1,0x71,0xd8,0x31,0x15, 
  0x04,0xc7,0x23,0xc3,0x18,0x96,0x05,0x9a,0x07,0x12,0x80,0xe2,0xeb,0x27,0xb2,0x75, 
  0x09,0x83,0x2c,0x1a,0x1b,0x6e,0x5a,0xa0,0x52,0x3b,0xd6,0xb3,0x29,0xe3,0x2f,0x84, 
  0x53,0xd1,0x00,0xed,0x20,0xfc,0xb1,0x5b,0x6a,0xcb,0xbe,0x39,0x4a,0x4c,0x58,0xcf, 
  0xd0,0xef,0xaa,0xfb,0x43,0x4d,0x33,0x85,0x45,0xf9,0x02,0x7f,0x50,0x3c,0x9f,0xa8, 
  0x51,0xa3,0x40,0x8f,0x92,0x9d,0x38,0xf5,0xbc,0xb6,0xda,0x21,0x10,0xff,0xf3,0xd2, 
  0xcd,0x0c,0x13,0xec,0x5f,0x97,0x44,0x17,0xc4,0xa7,0x7e,0x3d,0x64,0x5d,0x19,0x73, 
  0x60,0x81,0x4f,0xdc,0x22,0x2a,0x90,0x88,0x46,0xee,0xb8,0x14,0xde,0x5e,0x0b,0xdb, 
  0xe0,0x32,0x3a,0x0a,0x49,0x06,0x24,0x5c,0xc2,0xd3,0xac,0x62,0x91,0x95,0xe4,0x79, 
  0xe7,0xc8,0x37,0x6d,0x8d,0xd5,0x4e,0xa9,0x6c,0x56,0xf4,0xea,0x65,0x7a,0xae,0x08, 
  0xba,0x78,0x25,0x2e,0x1c,0xa6,0xb4,0xc6,0xe8,0xdd,0x74,0x1f,0x4b,0xbd,0x8b,0x8a, 
  0x70,0x3e,0xb5,0x66,0x48,0x03,0xf6,0x0e,0x61,0x35,0x57,0xb9,0x86,0xc1,0x1d,0x9e, 
  0xe1,0xf8,0x98,0x11,0x69,0xd9,0x8e,0x94,0x9b,0x1e,0x87,0xe9,0xce,0x55,0x28,0xdf, 
  0x8c,0xa1,0x89,0x0d,0xbf,0xe6,0x42,0x68,0x41,0x99,0x2d,0x0f,0xb0,0x54,0xbb,0x16); 
  
 // rCon is Round Constant used for the Key Expansion [1st col is 2^(r-1) in GF(2^8)] [§5.2] 
 private static $rCon = array(  
  array(0x00, 0x00, 0x00, 0x00), 
  array(0x01, 0x00, 0x00, 0x00), 
  array(0x02, 0x00, 0x00, 0x00), 
  array(0x04, 0x00, 0x00, 0x00), 
  array(0x08, 0x00, 0x00, 0x00), 
  array(0x10, 0x00, 0x00, 0x00), 
  array(0x20, 0x00, 0x00, 0x00), 
  array(0x40, 0x00, 0x00, 0x00), 
  array(0x80, 0x00, 0x00, 0x00), 
  array(0x1b, 0x00, 0x00, 0x00), 
  array(0x36, 0x00, 0x00, 0x00) );  
}  
?>

aesctr.class.php文件如下:

<?php 
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 
/* AES counter (CTR) mode implementation in PHP (c) Chris Veness 2005-2011. Right of free use is */ 
/*  granted for all commercial or non-commercial use under CC-BY licence. No warranty of any  */ 
/*  form is offered.                                      */ 
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ 
  
class AesCtr extends Aes { 
  
 /** 
  * Encrypt a text using AES encryption in Counter mode of operation 
  * - see http://csrc.nist.gov/publications/nistpubs/800-38a/sp800-38a.pdf 
  * 
  * Unicode multi-byte character safe 
  * 
  * @param plaintext source text to be encrypted 
  * @param password the password to use to generate a key 
  * @param nBits   number of bits to be used in the key (128, 192, or 256) 
  * @param keep   keep 1:each not change 0:each change(default) 
  * @return     encrypted text 
  */ 
 public static function encrypt($plaintext, $password, $nBits, $keep=0) { 
  $blockSize = 16; // block size fixed at 16 bytes / 128 bits (Nb=4) for AES 
  if (!($nBits==128 || $nBits==192 || $nBits==256)) return ''; // standard allows 128/192/256 bit keys 
  // note PHP (5) gives us plaintext and password in UTF8 encoding! 
   
  // use AES itself to encrypt password to get cipher key (using plain password as source for  
  // key expansion) - gives us well encrypted key 
  $nBytes = $nBits/8; // no bytes in key 
  $pwBytes = array(); 
  for ($i=0; $i<$nBytes; $i++) $pwBytes[$i] = ord(substr($password,$i,1)) & 0xff; 
  $key = Aes::cipher($pwBytes, Aes::keyExpansion($pwBytes)); 
  $key = array_merge($key, array_slice($key, 0, $nBytes-16)); // expand key to 16/24/32 bytes long  
  
  // initialise 1st 8 bytes of counter block with nonce (NIST SP800-38A §B.2): [0-1] = millisec,  
  // [2-3] = random, [4-7] = seconds, giving guaranteed sub-ms uniqueness up to Feb 2106 
  $counterBlock = array(); 
 
  if($keep==0){ 
    $nonce = floor(microtime(true)*1000);  // timestamp: milliseconds since 1-Jan-1970 
    $nonceMs = $nonce%1000; 
    $nonceSec = floor($nonce/1000); 
    $nonceRnd = floor(rand(0, 0xffff)); 
  }else{ 
    $nonce = 10000; 
    $nonceMs = $nonce%1000; 
    $nonceSec = floor($nonce/1000); 
    $nonceRnd = 10000; 
  }   
 
  for ($i=0; $i<2; $i++) $counterBlock[$i]  = self::urs($nonceMs, $i*8) & 0xff; 
  for ($i=0; $i<2; $i++) $counterBlock[$i+2] = self::urs($nonceRnd, $i*8) & 0xff; 
  for ($i=0; $i<4; $i++) $counterBlock[$i+4] = self::urs($nonceSec, $i*8) & 0xff; 
   
  // and convert it to a string to go on the front of the ciphertext 
  $ctrTxt = ''; 
  for ($i=0; $i<8; $i++) $ctrTxt .= chr($counterBlock[$i]); 
  
  // generate key schedule - an expansion of the key into distinct Key Rounds for each round 
  $keySchedule = Aes::keyExpansion($key); 
  //print_r($keySchedule); 
   
  $blockCount = ceil(strlen($plaintext)/$blockSize); 
  $ciphertxt = array(); // ciphertext as array of strings 
   
  for ($b=0; $b<$blockCount; $b++) { 
   // set counter (block #) in last 8 bytes of counter block (leaving nonce in 1st 8 bytes) 
   // done in two stages for 32-bit ops: using two words allows us to go past 2^32 blocks (68GB) 
   for ($c=0; $c<4; $c++) $counterBlock[15-$c] = self::urs($b, $c*8) & 0xff; 
   for ($c=0; $c<4; $c++) $counterBlock[15-$c-4] = self::urs($b/0x100000000, $c*8); 
  
   $cipherCntr = Aes::cipher($counterBlock, $keySchedule); // -- encrypt counter block -- 
  
   // block size is reduced on final block 
   $blockLength = $b<$blockCount-1 ? $blockSize : (strlen($plaintext)-1)%$blockSize+1; 
   $cipherByte = array(); 
    
   for ($i=0; $i<$blockLength; $i++) { // -- xor plaintext with ciphered counter byte-by-byte -- 
    $cipherByte[$i] = $cipherCntr[$i] ^ ord(substr($plaintext, $b*$blockSize+$i, 1)); 
    $cipherByte[$i] = chr($cipherByte[$i]); 
   } 
   $ciphertxt[$b] = implode('', $cipherByte); // escape troublesome characters in ciphertext 
  } 
  
  // implode is more efficient than repeated string concatenation 
  $ciphertext = $ctrTxt . implode('', $ciphertxt); 
  $ciphertext = base64_encode($ciphertext); 
  return $ciphertext; 
 } 
  
 /** 
  * Decrypt a text encrypted by AES in counter mode of operation 
  * 
  * @param ciphertext source text to be decrypted 
  * @param password  the password to use to generate a key 
  * @param nBits   number of bits to be used in the key (128, 192, or 256) 
  * @return      decrypted text 
  */ 
 public static function decrypt($ciphertext, $password, $nBits) { 
  $blockSize = 16; // block size fixed at 16 bytes / 128 bits (Nb=4) for AES 
  if (!($nBits==128 || $nBits==192 || $nBits==256)) return ''; // standard allows 128/192/256 bit keys 
  $ciphertext = base64_decode($ciphertext); 
  
  // use AES to encrypt password (mirroring encrypt routine) 
  $nBytes = $nBits/8; // no bytes in key 
  $pwBytes = array(); 
  for ($i=0; $i<$nBytes; $i++) $pwBytes[$i] = ord(substr($password,$i,1)) & 0xff; 
  $key = Aes::cipher($pwBytes, Aes::keyExpansion($pwBytes)); 
  $key = array_merge($key, array_slice($key, 0, $nBytes-16)); // expand key to 16/24/32 bytes long 
   
  // recover nonce from 1st element of ciphertext 
  $counterBlock = array(); 
  $ctrTxt = substr($ciphertext, 0, 8); 
  for ($i=0; $i<8; $i++) $counterBlock[$i] = ord(substr($ctrTxt,$i,1)); 
   
  // generate key schedule 
  $keySchedule = Aes::keyExpansion($key); 
  
  // separate ciphertext into blocks (skipping past initial 8 bytes) 
  $nBlocks = ceil((strlen($ciphertext)-8) / $blockSize); 
  $ct = array(); 
  for ($b=0; $b<$nBlocks; $b++) $ct[$b] = substr($ciphertext, 8+$b*$blockSize, 16); 
  $ciphertext = $ct; // ciphertext is now array of block-length strings 
  
  // plaintext will get generated block-by-block into array of block-length strings 
  $plaintxt = array(); 
   
  for ($b=0; $b<$nBlocks; $b++) { 
   // set counter (block #) in last 8 bytes of counter block (leaving nonce in 1st 8 bytes) 
   for ($c=0; $c<4; $c++) $counterBlock[15-$c] = self::urs($b, $c*8) & 0xff; 
   for ($c=0; $c<4; $c++) $counterBlock[15-$c-4] = self::urs(($b+1)/0x100000000-1, $c*8) & 0xff; 
  
   $cipherCntr = Aes::cipher($counterBlock, $keySchedule); // encrypt counter block 
  
   $plaintxtByte = array(); 
   for ($i=0; $i<strlen($ciphertext[$b]); $i++) { 
    // -- xor plaintext with ciphered counter byte-by-byte -- 
    $plaintxtByte[$i] = $cipherCntr[$i] ^ ord(substr($ciphertext[$b],$i,1)); 
    $plaintxtByte[$i] = chr($plaintxtByte[$i]); 
    
   } 
   $plaintxt[$b] = implode('', $plaintxtByte);  
  } 
  
  // join array of blocks into single plaintext string 
  $plaintext = implode('',$plaintxt); 
   
  return $plaintext; 
 } 
  
 /* 
  * Unsigned right shift function, since PHP has neither >>> operator nor unsigned ints 
  * 
  * @param a number to be shifted (32-bit integer) 
  * @param b number of bits to shift a to the right (0..31) 
  * @return  a right-shifted and zero-filled by b bits 
  */ 
 private static function urs($a, $b) { 
  $a &= 0xffffffff; $b &= 0x1f; // (bounds check) 
  if ($a&0x80000000 && $b>0) {  // if left-most bit set 
   $a = ($a>>1) & 0x7fffffff;  //  right-shift one bit & clear left-most bit 
   $a = $a >> ($b-1);      //  remaining right-shifts 
  } else {            // otherwise 
   $a = ($a>>$b);        //  use normal right-shift 
  }  
  return $a;  
 } 
}  
?>

Demo实例程序如下:

<?php  
require 'aes.class.php';   // AES PHP implementation 
require 'aesctr.class.php'; // AES Counter Mode implementation  
 
echo 'each change<br>'; 
 
$mstr = AesCtr::encrypt('Hello World', 'key', 256); 
echo "Encrypt String : $mstr<br />"; 
 
$dstr = AesCtr::decrypt($mstr, 'key', 256); 
echo "Decrypt String : $dstr<br />"; 
 
echo 'each not change<br>'; 
 
$mstr = AesCtr::encrypt('Hello World', 'key', 256, 1); // keep=1 
echo "Encrypt String : $mstr<br />"; 
 
$dstr = AesCtr::decrypt($mstr, 'key', 256); 
echo "Decrypt String : $dstr<br />"; 
?>

这里再介绍另一使用 PHP mcrypt 加解密方法:

/* aes 256 encrypt 
* @param String $ostr 
* @param String $securekey 
* @param String $type encrypt, decrypt 
*/ 
function aes($ostr, $securekey, $type='encrypt'){ 
  if($ostr==''){ 
    return ''; 
  } 
   
  $key = $securekey; 
  $iv = strrev($securekey); 
  $td = mcrypt_module_open('rijndael-256', '', 'ofb', ''); 
  mcrypt_generic_init($td, $key, $iv); 
 
  $str = ''; 
 
  switch($type){ 
    case 'encrypt': 
      $str = base64_encode(mcrypt_generic($td, $ostr)); 
      break; 
 
    case 'decrypt': 
      $str = mdecrypt_generic($td, base64_decode($ostr)); 
      break; 
  } 
 
  mcrypt_generic_deinit($td); 
 
  return $str; 
} 
 
// Demo 
$key = "fdipzone201314showmethemoney!@#$"; 
$str = "show me the money"; 
 
$ostr = aes($str, $key); 
echo "String 1: $ostr<br />"; 
 
$dstr = aes($ostr, $key, 'decrypt'); 
echo "String 2: $dstr<br />";

希望本文所述对大家php程序设计的学习有所帮助。

PHP 相关文章推荐
在线增减.htpasswd内的用户
Oct 09 PHP
php数组函数序列之array_combine() - 数组合并函数使用说明
Oct 29 PHP
PHP 读取和编写 XML
Nov 19 PHP
typecho插件编写教程(二):写一个新插件
May 28 PHP
PHP实现事件机制的方法
Jul 10 PHP
php过滤输入操作之htmlentities与htmlspecialchars用法分析
Feb 17 PHP
php中Ioc(控制反转)和Di(依赖注入)
May 07 PHP
PHP实现对图片的反色处理功能【测试可用】
Feb 01 PHP
PHP使用星号替代用户名手机和邮箱的实现代码
Feb 07 PHP
PHP进阶学习之Geo的地图定位算法详解
Jun 19 PHP
laravel 根据不同组织加载不同视图的实现
Oct 14 PHP
关于laravel模板中生成URL的几种模式总结
Oct 18 PHP
php生成QRcode实例
Sep 22 #PHP
php实现的Captcha验证码类实例
Sep 22 #PHP
php中unserialize返回false的解决方法
Sep 22 #PHP
php实现根据字符串生成对应数组的方法
Sep 22 #PHP
PHP中auto_prepend_file与auto_append_file用法实例分析
Sep 22 #PHP
php中Y2K38的漏洞解决方法实例分析
Sep 22 #PHP
php中strstr、strrchr、substr、stristr四个函数的区别总结
Sep 22 #PHP
You might like
PHP 用数组降低程序的时间复杂度
2009/12/04 PHP
php结合安卓客户端实现查询交互实例
2015/05/05 PHP
PHP设计模式之装饰者模式代码实例
2015/05/11 PHP
解决在laravel中leftjoin带条件查询没有返回右表为NULL的问题
2019/10/15 PHP
Laravel5.5 视图 - 创建视图和数据传递示例
2019/10/21 PHP
js或css实现滚动广告的几种方案
2010/01/28 Javascript
不用构造函数(Constructor)new关键字也能实现JavaScript的面向对象
2013/01/11 Javascript
Jquery刷新页面背景图片随机变换的实现方法
2013/03/15 Javascript
JS下载文件|无刷新下载文件示例代码
2014/04/17 Javascript
js数值计算时使用parseInt进行数据类型转换(jquery)
2014/10/07 Javascript
nodejs教程之环境安装及运行
2014/11/21 NodeJs
AngularJS入门教程之Hello World!
2014/12/06 Javascript
AngularJS入门知识之MVW类框架的编程思想探讨
2014/12/08 Javascript
Jquery循环截取字符串的方法(多出的字符串处理成&quot;...&quot;)
2016/11/28 Javascript
最好用的Bootstrap fileinput.js文件上传组件
2016/12/12 Javascript
基于jquery实现多选下拉列表
2017/08/02 jQuery
jQuery中库的引用方法
2018/01/06 jQuery
AngularJS实现的base64编码与解码功能示例
2018/05/17 Javascript
Vue中 v-if/v-show/插值表达式导致闪现的原因及解决办法
2018/10/12 Javascript
jquery拖拽自动排序插件使用方法详解
2020/07/20 jQuery
[51:22]Fnatic vs IG 2018国际邀请赛小组赛BO2 第一场 8.17
2018/08/18 DOTA
python中requests小技巧
2017/05/10 Python
Python2.7编程中SQLite3基本操作方法示例
2017/08/09 Python
Python 将RGB图像转换为Pytho灰度图像的实例
2017/11/14 Python
Django框架的使用教程路由请求响应的方法
2018/07/03 Python
python代码过长的换行方法
2018/07/19 Python
tensorflow 动态获取 BatchSzie 的大小实例
2020/06/30 Python
python中查看.db文件中表格的名字及表格中的字段操作
2020/07/07 Python
解决Windows下python和pip命令无法使用的问题
2020/08/31 Python
使用css实现android系统的loading加载动画
2019/07/25 HTML / CSS
linux面试题参考答案(3)
2012/09/13 面试题
大学生求职中的自我评价
2013/10/01 职场文书
历史系自荐信范文
2013/12/24 职场文书
模范班主任事迹材料
2014/12/17 职场文书
销售人员管理制度
2015/08/06 职场文书
mysql字段为NULL索引是否会失效实例详解
2022/05/30 MySQL