Integer constant overflow warning in constexpr

Question

I am trying to find a constexpr compatible hash function for hashing strings at compile time. The number of lines is really small (<10), and I have a separate check for collisions, so the algorithm may be far from perfect. I found the following version of FNV1A somewhere on the Internet:

static constexpr unsigned int Fnv1aBasis = 0x811C9DC5;
static constexpr unsigned int Fnv1aPrime = 0x01000193;

constexpr unsigned int hashFnv1a(const char *s, unsigned int h = Fnv1aBasis)
{
    return !*s ? h : hashFnv1a(s + 1, (h ^ *s) * Fnv1aPrime);
}

But when I compile this in MSVS 2015, I get the following warning:

warning C4307: '*': integral constant overflow

Since there is only one multiplication in a function, I assume that the warning comes from (h ^ *s) * Fnv1aPrime. This makes sense, since multiplying 0x811C9DC5( Fnv1aBasis) by just about anything will overflow the 32-bit integer.

? constexpr, , .

Answer 1

unsigned long long , :

constexpr unsigned int hashFnv1b(const char *s, unsigned int h = Fnv1aBasis)
{
    return !*s
           ? h
           : hashFnv1b(
               s + 1,
               static_cast<unsigned int>(
                 (h ^ *s) * static_cast<unsigned long long>(Fnv1aPrime)));
}

( 20 , 21 ).

Answer 2

, . 2 ⁿ , n - , , . - ; , .

---

, #pragma warning( disable: 4307 ) .

32- -:

constexpr auto hashFnv1a( char const* s, unsigned h = Fnv1aBasis )
    -> unsigned
{
    return !*s ? h : hashFnv1a(s + 1, static_cast<unsigned>( 1ULL*(h ^ *s) * Fnv1aPrime ));
}

---

Google , , 64- - , - constexpr 64- . constexpr, , . :

#include <stdint.h>

namespace b32 {
    static constexpr uint32_t Fnv1aBasis = 0x811C9DC5u;
    static constexpr uint32_t Fnv1aPrime = 0x01000193u;

    constexpr auto hashFnv1a( char const* s, uint32_t h = Fnv1aBasis )
        -> uint32_t
    { return !*s ? h : hashFnv1a(s + 1, static_cast<uint32_t>( 1ULL*(h ^ *s)*Fnv1aPrime )); }
}  // namespace b32

namespace b64 {
    static constexpr uint64_t Fnv1aBasis = 0xCBF29CE484222325uLL;
    static constexpr uint64_t Fnv1aPrime = 0x100000001B3uLL;

    constexpr auto lo( uint64_t x )
        -> uint64_t
    { return x & uint32_t( -1 ); }

    constexpr auto hi( uint64_t x )
        -> uint64_t
    { return x >> 32; }

    constexpr auto mulu64( uint64_t a, uint64_t b )
        -> uint64_t
    {
        return 0
            + (lo( a )*lo( b ) & uint32_t(-1))
            +   (
                    (
                        (
                            (
                                (
                                    hi( lo( a )*lo( b ) ) +
                                    lo( a )*hi( b )
                                )
                                & uint32_t(-1)
                            )
                            + hi( a )*lo( b )
                        )
                        & uint32_t(-1)
                    )
                    << 32
                );
    }

    constexpr auto hashFnv1a( char const* s, uint64_t h = Fnv1aBasis )
        -> uint64_t
    { return !*s ? h : hashFnv1a( s + 1, mulu64( h ^ *s, Fnv1aPrime ) ); }
}  // namepace b64

#include <assert.h>
#include <iostream>
using namespace std;
auto main()
    -> int
{
    constexpr auto x = b64::mulu64( b64::Fnv1aBasis, b64::Fnv1aPrime );

    #ifdef _MSC_VER
    #   pragma warning( push )
    #   pragma warning( disable: 4307 )
        constexpr auto y = b64::Fnv1aBasis*b64::Fnv1aPrime;
    #   pragma warning( pop )
    #else
        constexpr auto y = b64::Fnv1aBasis*b64::Fnv1aPrime;
    #endif

    cout << x << endl;
    cout << y << endl;
    assert( x == y );

    static constexpr const char* const s = "blah!";
    constexpr unsigned xs = b32::hashFnv1a( s );
    constexpr uint64_t ys = b64::hashFnv1a( s );

    int a[1 + xs%2];  (void) a;
    int b[1 + ys%2];  (void) b;
}

Answer 3

, __pragma :

#include <type_traits>
#if _MSC_VER
#define FNV_HASH( str ) \
  __pragma( warning( push ) ) \
  __pragma( warning( disable: 4307 ) ) \
  std::integral_constant<uint64_t, hashFnv1a( str )>::value \
  __pragma( warning( pop ) )
#else
#define FNV_HASH( str ) std::integral_constant<uint64_t, hashFnv1a( str )>::value
#endif

std:: integral_constant , .

64- , 64- constexpr.