c++11

I tried to write a function, which returns an integer with only the highest bit of the input set, using a C++0x constexpr.

constexpr inline uint64_t
get_highest_bit(uint64_t p)
{
  return 
     (p|=(p>>1)),
     (p|=(p>>2)),
     (p|=(p>>4)),
     (p|=(p>>8)),
     (p|=(p>>16)),
     (p|=(p>>32)),
     (p-(p>>1));
}

This gives a compile-time failure using gcc 4.6.1.

error: expression ‘(p <unknown operator> ((p >> 1) | p))’ is not a constant-expression

Note that it works without the constexpr keyword.

My questions are:

Why does this not work? I can see that operator|= is not a constexpr, but does it matter for built-in types?

Is there an easy way to write this function as a constexpr? I would like it to be reasonable efficient at runtime, and I care a bit about readibility.

---

(Not tested on GCC because I don't have 4.6, but I've verified that the algorithm is correct.)

To use constexpr you must not have assignments. Therefore, you often have to write in functional form with recursion:

#include <cstdint>
#include <climits>

constexpr inline uint64_t highestBit(uint64_t p, int n = 1) {
    return n < sizeof(p)*CHAR_BIT ? highestBit(p | p >> n, n * 2) : p - (p >> 1);
}

int main() {
    static_assert(highestBit(7) == 4);
    static_assert(highestBit(5) == 4);
    static_assert(highestBit(0x381283) == 0x200000);
    return 0;
}

You can check C++0x §[expr.const]/2 to see what expressions cannot be used in a constexpr function. In particular, the second to last item is "an assignment or a compound assignment".

---

constexpr inline uint64_t highestBit(uint64_t p)
{
    return (p & (p-1))? highestBit(p & (p-1)): p;
}

递归的每一级都会清除已设置的最右边的位，当最后一位被清除时，只剩下最高位，所以它被返回。

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