如何将一个数除3而不使用*、/、+、-、%等运算符?

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当前回答

这应该适用于任何除数,而不仅仅是3。目前仅适用于unsigned,但将其扩展到signed应该没有那么困难。

#include <stdio.h>

unsigned sub(unsigned two, unsigned one);
unsigned bitdiv(unsigned top, unsigned bot);
unsigned sub(unsigned two, unsigned one)
{
unsigned bor;
bor = one;
do      {
        one = ~two & bor;
        two ^= bor;
        bor = one<<1;
        } while (one);
return two;
}

unsigned bitdiv(unsigned top, unsigned bot)
{
unsigned result, shift;

if (!bot || top < bot) return 0;

for(shift=1;top >= (bot<<=1); shift++) {;}
bot >>= 1;

for (result=0; shift--; bot >>= 1 ) {
        result <<=1;
        if (top >= bot) {
                top = sub(top,bot);
                result |= 1;
                }
        }
return result;
}

int main(void)
{
unsigned arg,val;

for (arg=2; arg < 40; arg++) {
        val = bitdiv(arg,3);
        printf("Arg=%u Val=%u\n", arg, val);
        }
return 0;
}

其他回答

你可以使用(依赖于平台)内联程序集,例如,对于x86:(也适用于负数)

#include <stdio.h>

int main() {
  int dividend = -42, divisor = 5, quotient, remainder;

  __asm__ ( "cdq; idivl %%ebx;"
          : "=a" (quotient), "=d" (remainder)
          : "a"  (dividend), "b"  (divisor)
          : );

  printf("%i / %i = %i, remainder: %i\n", dividend, divisor, quotient, remainder);
  return 0;
}

一般来说,解决这个问题的方法是:

log(pow(exp(numerator),pow(deliminator,-1)))

我认为正确的答案是:

为什么不用基本运算符来做基本运算呢?

哪里InputValue是数字除以3

SELECT AVG(NUM) 
  FROM (SELECT InputValue NUM from sys.dual
         UNION ALL SELECT 0 from sys.dual
         UNION ALL SELECT 0 from sys.dual) divby3

如果我们认为__div__不是正字法上的/

def divBy3(n):
    return n.__div__(3)

print divBy3(9), 'or', 9//3