File: ispowerof2.h

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/* nbdkit
 * Copyright Red Hat
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are
 * met:
 *
 * * Redistributions of source code must retain the above copyright
 * notice, this list of conditions and the following disclaimer.
 *
 * * Redistributions in binary form must reproduce the above copyright
 * notice, this list of conditions and the following disclaimer in the
 * documentation and/or other materials provided with the distribution.
 *
 * * Neither the name of Red Hat nor the names of its contributors may be
 * used to endorse or promote products derived from this software without
 * specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY RED HAT AND CONTRIBUTORS ''AS IS'' AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO,
 * THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
 * PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL RED HAT OR
 * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
 * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF
 * USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
 * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
 * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT
 * OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
 * SUCH DAMAGE.
 */

#ifndef NBDKIT_ISPOWEROF2_H
#define NBDKIT_ISPOWEROF2_H

#include <stdbool.h>

/* Returns true if v is a power of 2.
 *
 * Uses the algorithm described at
 * http://graphics.stanford.edu/~seander/bithacks.html#DetermineIfPowerOf2
 */
static inline bool
is_power_of_2 (unsigned long v)
{
  return v && ((v & (v - 1)) == 0);
}

/* Calculate log2(v) which is the size of the equivalent bit shift
 * for a power of 2.  For example log_2_bits (512) == 9.
 *
 * Note:
 * - the input must be a power of 2
 * - this is undefined for v == 0
 *
 * __builtin_clzl is available in GCC and clang.
 */
static inline int
log_2_bits (uint64_t v)
{
  return 64 - __builtin_clzll (v) - 1;
}

/* Round up to next power of 2.
 * https://jameshfisher.com/2018/03/30/round-up-power-2/
 *
 * Note:
 * 0x8000000000000000ULL => returns itself
 * >= 0x8000000000000001ULL (negative) => returns ((uint64_t)-1) (error)
 */
static inline uint64_t
next_power_of_2 (int64_t x)
{
  if ((uint64_t) x == UINT64_C (0x8000000000000000))
    return UINT64_C (0x8000000000000000);
  else if (x < 0)
    return (uint64_t) -1;
  else if (x <= 1)
    return 1;
  else
    return UINT64_C (1) << (64 - __builtin_clzll (x-1));
}

#endif /* NBDKIT_ISPOWEROF2_H */