log2l (-LDBL_MAX) raises a spurious overflow exception (in addition to a correct INVALID exception); tested x86.  Testcase:

#include <errno.h>
#include <fenv.h>
#include <math.h>
#include <stdio.h>
#include <float.h>

volatile long double d = -LDBL_MAX;

int
main (void)
{
  feclearexcept (FE_ALL_EXCEPT);
  errno = 0;
  volatile long double r = log2l (d);
  if (fetestexcept (FE_DIVBYZERO))
    printf ("DIVBYZERO ");
  if (fetestexcept (FE_INEXACT))
    printf ("INEXACT ");
  if (fetestexcept (FE_INVALID))
    printf ("INVALID ");
  if (fetestexcept (FE_OVERFLOW))
    printf ("OVERFLOW ");
  if (fetestexcept (FE_UNDERFLOW))
    printf ("UNDERFLOW ");
  printf ("%.18Lg %m\n", r);
  return 0;
}