在PHP编程语言中,位运算符是一种非常强大的工具,它允许我们对整型数中指定的位进行求值和操作。这些运算符包括按位与(&)、按位或(|)、按位异或(^)、按位取反(~)、左移(<<)和右移(>>)等。这些运算符在处理大量数据或者进行复杂的二进制操作时非常有用。
一、位运算符
例子 | 名称 | 结果 |
$a & $b | And(按位与) | 将把 $a 和 $b 中都为 1 的位设为 1。 |
$a | $b | Or(按位或) | 将把 $a 和 $b 中任何一个为 1 的位设为 1。 |
$a ^ $b | Xor(按位异或) | 将把 $a 和 $b 中一个为 1 另一个为 0 的位设为 1。 |
~ $a | Not(按位取反) | 将 $a 中为 0 的位设为 1,反之亦然。 |
$a << $b | Shift left(左移) | 将 $a 中的位向左移动 $b 次(每一次移动都表示“乘以 2”)。 |
$a >> $b | Shift right(右移) | 将 $a 中的位向右移动 $b 次(每一次移动都表示“除以 2”)。 |
位移在 PHP 中是一种数学运算。当一个数向左或向右移位时,被移出的位都会被丢弃,具体来说,当一个数向左移动时,右侧会以零进行填充,而符号位会被移走,因此不会保留原来的正负号。相反地,当一个数向右移动时,左侧会以符号位进行填充,这样可以保留原来的正负号。
为了确保特定的优先级,我们需要使用括号来包围想要优先计算的部分。例如,在表达式 $a & $b == true 中,首先进行按位与运算,然后再进行比较操作;而在表达式 ($a & $b) == true 中,先进行按位与运算,再进行比较操作。
此外,当使用 &、| 和 ^ 这些位运算符时,如果左右两个操作对象都是字符串类型,那么将对组成字符串的字符的 ASCII 值进行相应的操作,得到的结果仍然是一个字符串。然而,如果操作对象不是字符串,那么它们将被转换为整数类型进行处理,最终的结果也将是整数。
对于 ~ 运算符来说,如果操作对象是字符串类型,则将对组成字符串的字符的 ASCII 值进行操作,得到的结果将是一个字符串;而如果操作对象不是字符串类型,那么操作对象和结果都将是整数。
<< 和 >> 运算符的操作对象和结果始终都是整数。
PHP 的 ini 设定 error_reporting 使用了按位的值, 提供了关闭某个位的真实例子。要显示除了提示级别 之外的所有错误,php.ini 中是这样用的: E_ALL & ~E_NOTICE
具体运作方式是先取得 E_ALL 的值: 00000000000000000111011111111111 再取得 E_NOTICE 的值: 00000000000000000000000000001000 然后通过 ~ 将其取反: 11111111111111111111111111110111 最后再用按位与 AND(&)得到两个值中都设定了(为 1)的位: 00000000000000000111011111110111
另外一个方法是用按位异或 XOR(^)来取得只在 其中一个值中设定了的位: E_ALL ^ E_NOTICE
error_reporting 也可用来演示怎样置位。只显示错误和可恢复 错误的方法是: E_ERROR | E_RECOVERABLE_ERROR
也就是将 E_ERROR 00000000000000000000000000000001 和 E_RECOVERABLE_ERROR 00000000000000000001000000000000 用按位或 OR(|)运算符来取得在任何一个值中被置位的结果: 00000000000000000001000000000001
二、整数AND/OR/XOR
1、整数的 AND,OR 和 XOR 位运算符
<?php /* * 忽略顶部, * 它只是为了使输出更加清晰而格式化。 */ $format = '(%1$2d = %1$04b) = (%2$2d = %2$04b)' . ' %3$s (%4$2d = %4$04b)' . "\n"; echo <<<EOH --------- --------- -- --------- result value op test --------- --------- -- --------- EOH; /* * 这是示例。 */ $values = array(0, 1, 2, 4, 8); $test = 1 + 4; echo "\n Bitwise AND \n"; foreach ($values as $value) { $result = $value & $test; printf($format, $result, $value, '&', $test); } echo "\n Bitwise Inclusive OR \n"; foreach ($values as $value) { $result = $value | $test; printf($format, $result, $value, '|', $test); } echo "\n Bitwise Exclusive OR (XOR) \n"; foreach ($values as $value) { $result = $value ^ $test; printf($format, $result, $value, '^', $test); } ?>
以上示例会输出:
--------- --------- -- --------- result value op test --------- --------- -- --------- Bitwise AND ( 0 = 0000) = ( 0 = 0000) & ( 5 = 0101) ( 1 = 0001) = ( 1 = 0001) & ( 5 = 0101) ( 0 = 0000) = ( 2 = 0010) & ( 5 = 0101) ( 4 = 0100) = ( 4 = 0100) & ( 5 = 0101) ( 0 = 0000) = ( 8 = 1000) & ( 5 = 0101) Bitwise Inclusive OR ( 5 = 0101) = ( 0 = 0000) | ( 5 = 0101) ( 5 = 0101) = ( 1 = 0001) | ( 5 = 0101) ( 7 = 0111) = ( 2 = 0010) | ( 5 = 0101) ( 5 = 0101) = ( 4 = 0100) | ( 5 = 0101) (13 = 1101) = ( 8 = 1000) | ( 5 = 0101) Bitwise Exclusive OR (XOR) ( 5 = 0101) = ( 0 = 0000) ^ ( 5 = 0101) ( 4 = 0100) = ( 1 = 0001) ^ ( 5 = 0101) ( 7 = 0111) = ( 2 = 0010) ^ ( 5 = 0101) ( 1 = 0001) = ( 4 = 0100) ^ ( 5 = 0101) (13 = 1101) = ( 8 = 1000) ^ ( 5 = 0101)
三、字符串XOR运算符
<?php echo 12 ^ 9; // 输出 '5' echo "12" ^ "9"; // 输出退格字符 (ascii 8) // ('1' (ascii 49)) ^ ('9' (ascii 57)) = #8 echo "hallo" ^ "hello"; // 输出 ascii 值 #0 #4 #0 #0 #0 // 'a' ^ 'e' = #4 echo 2 ^ "3"; // 输出 1 // 2 ^ ((int)"3") == 1 echo "2" ^ 3; // 输出 1 // ((int)"2") ^ 3 == 1 ?>
四、整数的位移
<?php /* * 这是示例。 */ echo "\n--- BIT SHIFT RIGHT ON POSITIVE INTEGERS ---\n"; $val = 4; $places = 1; $res = $val >> $places; p($res, $val, '>>', $places, 'copy of sign bit shifted into left side'); $val = 4; $places = 2; $res = $val >> $places; p($res, $val, '>>', $places); $val = 4; $places = 3; $res = $val >> $places; p($res, $val, '>>', $places, 'bits shift out right side'); $val = 4; $places = 4; $res = $val >> $places; p($res, $val, '>>', $places, 'same result as above; can not shift beyond 0'); echo "\n--- BIT SHIFT RIGHT ON NEGATIVE INTEGERS ---\n"; $val = -4; $places = 1; $res = $val >> $places; p($res, $val, '>>', $places, 'copy of sign bit shifted into left side'); $val = -4; $places = 2; $res = $val >> $places; p($res, $val, '>>', $places, 'bits shift out right side'); $val = -4; $places = 3; $res = $val >> $places; p($res, $val, '>>', $places, 'same result as above; can not shift beyond -1'); echo "\n--- BIT SHIFT LEFT ON POSITIVE INTEGERS ---\n"; $val = 4; $places = 1; $res = $val << $places; p($res, $val, '<<', $places, 'zeros fill in right side'); $val = 4; $places = (PHP_INT_SIZE * 8) - 4; $res = $val << $places; p($res, $val, '<<', $places); $val = 4; $places = (PHP_INT_SIZE * 8) - 3; $res = $val << $places; p($res, $val, '<<', $places, 'sign bits get shifted out'); $val = 4; $places = (PHP_INT_SIZE * 8) - 2; $res = $val << $places; p($res, $val, '<<', $places, 'bits shift out left side'); echo "\n--- BIT SHIFT LEFT ON NEGATIVE INTEGERS ---\n"; $val = -4; $places = 1; $res = $val << $places; p($res, $val, '<<', $places, 'zeros fill in right side'); $val = -4; $places = (PHP_INT_SIZE * 8) - 3; $res = $val << $places; p($res, $val, '<<', $places); $val = -4; $places = (PHP_INT_SIZE * 8) - 2; $res = $val << $places; p($res, $val, '<<', $places, 'bits shift out left side, including sign bit'); /* * 忽略顶部, * 它只是为了使输出更加清晰而格式化。 */ function p($res, $val, $op, $places, $note = '') { $format = '%0' . (PHP_INT_SIZE * 8) . "b\n"; printf("Expression: %d = %d %s %d\n", $res, $val, $op, $places); echo " Decimal:\n"; printf(" val=%d\n", $val); printf(" res=%d\n", $res); echo " Binary:\n"; printf(' val=' . $format, $val); printf(' res=' . $format, $res); if ($note) { echo " NOTE: $note\n"; } echo "\n"; } ?>
以上示例在 32 位机器上的输出:
--- BIT SHIFT RIGHT ON POSITIVE INTEGERS --- Expression: 2 = 4 >> 1 Decimal: val=4 res=2 Binary: val=00000000000000000000000000000100 res=00000000000000000000000000000010 NOTE: copy of sign bit shifted into left side Expression: 1 = 4 >> 2 Decimal: val=4 res=1 Binary: val=00000000000000000000000000000100 res=00000000000000000000000000000001 Expression: 0 = 4 >> 3 Decimal: val=4 res=0 Binary: val=00000000000000000000000000000100 res=00000000000000000000000000000000 NOTE: bits shift out right side Expression: 0 = 4 >> 4 Decimal: val=4 res=0 Binary: val=00000000000000000000000000000100 res=00000000000000000000000000000000 NOTE: same result as above; can not shift beyond 0 --- BIT SHIFT RIGHT ON NEGATIVE INTEGERS --- Expression: -2 = -4 >> 1 Decimal: val=-4 res=-2 Binary: val=11111111111111111111111111111100 res=11111111111111111111111111111110 NOTE: copy of sign bit shifted into left side Expression: -1 = -4 >> 2 Decimal: val=-4 res=-1 Binary: val=11111111111111111111111111111100 res=11111111111111111111111111111111 NOTE: bits shift out right side Expression: -1 = -4 >> 3 Decimal: val=-4 res=-1 Binary: val=11111111111111111111111111111100 res=11111111111111111111111111111111 NOTE: same result as above; can not shift beyond -1 --- BIT SHIFT LEFT ON POSITIVE INTEGERS --- Expression: 8 = 4 << 1 Decimal: val=4 res=8 Binary: val=00000000000000000000000000000100 res=00000000000000000000000000001000 NOTE: zeros fill in right side Expression: 1073741824 = 4 << 28 Decimal: val=4 res=1073741824 Binary: val=00000000000000000000000000000100 res=01000000000000000000000000000000 Expression: -2147483648 = 4 << 29 Decimal: val=4 res=-2147483648 Binary: val=00000000000000000000000000000100 res=10000000000000000000000000000000 NOTE: sign bits get shifted out Expression: 0 = 4 << 30 Decimal: val=4 res=0 Binary: val=00000000000000000000000000000100 res=00000000000000000000000000000000 NOTE: bits shift out left side --- BIT SHIFT LEFT ON NEGATIVE INTEGERS --- Expression: -8 = -4 << 1 Decimal: val=-4 res=-8 Binary: val=11111111111111111111111111111100 res=11111111111111111111111111111000 NOTE: zeros fill in right side Expression: -2147483648 = -4 << 29 Decimal: val=-4 res=-2147483648 Binary: val=11111111111111111111111111111100 res=10000000000000000000000000000000 Expression: 0 = -4 << 30 Decimal: val=-4 res=0 Binary: val=11111111111111111111111111111100 res=00000000000000000000000000000000 NOTE: bits shift out left side, including sign bit
以上示例在 64 位机器上的输出:
--- BIT SHIFT RIGHT ON POSITIVE INTEGERS --- Expression: 2 = 4 >> 1 Decimal: val=4 res=2 Binary: val=0000000000000000000000000000000000000000000000000000000000000100 res=0000000000000000000000000000000000000000000000000000000000000010 NOTE: copy of sign bit shifted into left side Expression: 1 = 4 >> 2 Decimal: val=4 res=1 Binary: val=0000000000000000000000000000000000000000000000000000000000000100 res=0000000000000000000000000000000000000000000000000000000000000001 Expression: 0 = 4 >> 3 Decimal: val=4 res=0 Binary: val=0000000000000000000000000000000000000000000000000000000000000100 res=0000000000000000000000000000000000000000000000000000000000000000 NOTE: bits shift out right side Expression: 0 = 4 >> 4 Decimal: val=4 res=0 Binary: val=0000000000000000000000000000000000000000000000000000000000000100 res=0000000000000000000000000000000000000000000000000000000000000000 NOTE: same result as above; can not shift beyond 0 --- BIT SHIFT RIGHT ON NEGATIVE INTEGERS --- Expression: -2 = -4 >> 1 Decimal: val=-4 res=-2 Binary: val=1111111111111111111111111111111111111111111111111111111111111100 res=1111111111111111111111111111111111111111111111111111111111111110 NOTE: copy of sign bit shifted into left side Expression: -1 = -4 >> 2 Decimal: val=-4 res=-1 Binary: val=1111111111111111111111111111111111111111111111111111111111111100 res=1111111111111111111111111111111111111111111111111111111111111111 NOTE: bits shift out right side Expression: -1 = -4 >> 3 Decimal: val=-4 res=-1 Binary: val=1111111111111111111111111111111111111111111111111111111111111100 res=1111111111111111111111111111111111111111111111111111111111111111 NOTE: same result as above; can not shift beyond -1 --- BIT SHIFT LEFT ON POSITIVE INTEGERS --- Expression: 8 = 4 << 1 Decimal: val=4 res=8 Binary: val=0000000000000000000000000000000000000000000000000000000000000100 res=0000000000000000000000000000000000000000000000000000000000001000 NOTE: zeros fill in right side Expression: 4611686018427387904 = 4 << 60 Decimal: val=4 res=4611686018427387904 Binary: val=0000000000000000000000000000000000000000000000000000000000000100 res=0100000000000000000000000000000000000000000000000000000000000000 Expression: -9223372036854775808 = 4 << 61 Decimal: val=4 res=-9223372036854775808 Binary: val=0000000000000000000000000000000000000000000000000000000000000100 res=1000000000000000000000000000000000000000000000000000000000000000 NOTE: sign bits get shifted out Expression: 0 = 4 << 62 Decimal: val=4 res=0 Binary: val=0000000000000000000000000000000000000000000000000000000000000100 res=0000000000000000000000000000000000000000000000000000000000000000 NOTE: bits shift out left side --- BIT SHIFT LEFT ON NEGATIVE INTEGERS --- Expression: -8 = -4 << 1 Decimal: val=-4 res=-8 Binary: val=1111111111111111111111111111111111111111111111111111111111111100 res=1111111111111111111111111111111111111111111111111111111111111000 NOTE: zeros fill in right side Expression: -9223372036854775808 = -4 << 61 Decimal: val=-4 res=-9223372036854775808 Binary: val=1111111111111111111111111111111111111111111111111111111111111100 res=1000000000000000000000000000000000000000000000000000000000000000 Expression: 0 = -4 << 62 Decimal: val=-4 res=0 Binary: val=1111111111111111111111111111111111111111111111111111111111111100 res=0000000000000000000000000000000000000000000000000000000000000000 NOTE: bits shift out left side, including sign bit
注意:使用 gmp 扩展对超出 PHP_INT_MAX 的数值来进行位操作。