以下哪一种技术是整数除2的最佳选择,为什么?
技巧1:
x = x >> 1;
技巧2:
x = x / 2;
这里x是整数。
以下哪一种技术是整数除2的最佳选择,为什么?
技巧1:
x = x >> 1;
技巧2:
x = x / 2;
这里x是整数。
当前回答
查看编译器的输出来帮助您做出决定。我在x86-64上使用 gcc (gcc) 4.2.1 20070719 [FreeBSD]
也可以在godbolt上看到编译器的在线输出。
What you see is the compiler does use a sarl (arithmetic right-shift) instruction in both cases, so it does recognize the similarity between the two expressions. If you use the divide, the compiler also needs to adjust for negative numbers. To do that it shifts the sign bit down to the lowest order bit, and adds that to the result. This fixes the off-by-one issue when shifting negative numbers, compared to what a divide would do. Since the divide case does 2 shifts, while the explicit shift case only does one, we can now explain some of the performance differences measured by other answers here.
C代码与汇编输出:
对于除法,你的输入是
int div2signed(int a) {
return a / 2;
}
这个编译成
movl %edi, %eax
shrl $31, %eax # (unsigned)x >> 31
addl %edi, %eax # tmp = x + (x<0)
sarl %eax # (x + 0 or 1) >> 1 arithmetic right shift
ret
shift也是一样
int shr2signed(int a) {
return a >> 1;
}
输出:
sarl %edi
movl %edi, %eax
ret
其他isa即使不能做得更好,也能同样有效地做到这一点。例如GCC For AArch64使用:
add w0, w0, w0, lsr 31 // x += (unsigned)x>>31
asr w0, w0, 1 // x >>= 1
ret
其他回答
我想说有几件事需要考虑。
Bitshift should be faster, as no special computation is really needed to shift the bits, however as pointed out, there are potential issues with negative numbers. If you are ensured to have positive numbers, and are looking for speed then I would recommend bitshift. The division operator is very easy for humans to read. So if you are looking for code readability, you could use this. Note that the field of compiler optimization has come a long way, so making code easy to read and understand is good practice. Depending on the underlying hardware, operations may have different speeds. Amdal's law is to make the common case fast. So you may have hardware that can perform different operations faster than others. For example, multiplying by 0.5 may be faster than dividing by 2. (Granted you may need to take the floor of the multiplication if you wish to enforce integer division).
如果您追求的是纯粹的性能,我建议您创建一些可以执行数百万次操作的测试。对执行进行多次采样(您的样本量),以确定哪一个在统计上最适合您的操作系统/硬件/编译器/代码。
我们有很多理由支持使用x = x / 2;以下是一些例子:
it expresses your intent more clearly (assuming you're not dealing with bit twiddling register bits or something) the compiler will reduce this to a shift operation anyway even if the compiler didn't reduce it and chose a slower operation than the shift, the likelihood that this ends up affecting your program's performance in a measurable way is itself vanishingly small (and if it does affect it measurably, then you have an actual reason to use a shift) if the division is going to be part of a larger expression, you're more likely to get the precedence right if you use the division operator: x = x / 2 + 5; x = x >> 1 + 5; // not the same as above signed arithmetic might complicate things even more than the precedence problem mentioned above to reiterate - the compiler will already do this for you anyway. In fact, it'll convert division by a constant to a series of shifts, adds, and multiplies for all sorts of numbers, not just powers of two. See this question for links to even more information about this.
简而言之,当你真正想要进行乘法或除法运算时,编写移位代码并没有什么好处,除了可能会增加引入错误的可能性。自从编译器不够聪明到在适当的时候优化这类事情到移位以来,已经过去了。
我同意其他答案,你应该支持x / 2,因为它的意图更清楚,编译器应该为你优化它。
然而,选择x / 2而不是x >> 1的另一个原因是,如果x是一个有符号int并且是负的,那么>>的行为是依赖于实现的。
ISO C99标准第6.5.7节第5项:
E1 >> E2的结果是E1位右移E2位位置。如果E1 无符号类型,或者E1有符号类型且值为非负值, 结果值为E1 /商的积分部分 2 e2。如果E1具有符号类型和负值,则结果值为 是由实现定义的。
哪一个是最好的选择,为什么整数除以2?
这取决于你对最佳的定义。
如果你想让你的同事讨厌你,或者让你的代码难以阅读,我肯定会选择第一个选择。
如果你想把一个数除以2,就用第二个数。
这两者是不等价的,如果数字是负的或在更大的表达式中,它们的行为是不一样的——bitshift的优先级比+或-低,除法的优先级更高。
您应该编写代码来表达其意图。如果您关心的是性能,不要担心,优化器在这类微优化方面做得很好。
使用最能描述您要做的事情的操作。
如果你将数字作为一个比特序列来处理,请使用bitshift。 如果你把它当作一个数值,使用除法。
请注意,它们并不完全相等。对于负整数,它们可以给出不同的结果。例如:
-5 / 2 = -2
-5 >> 1 = -3
(ideone)