mariadb/mysys/my_bit.c

/* Copyright (C) 2000 MySQL AB

   This program is free software; you can redistribute it and/or modify
   it under the terms of the GNU General Public License as published by
   the Free Software Foundation; version 2 of the License.

   This program is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   GNU General Public License for more details.

   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA */

/* Some useful bit functions */

#include "mysys_priv.h"

/*
  Find smallest X in 2^X >= value
  This can be used to divide a number with value by doing a shift instead
*/

uint my_bit_log2(ulong value)
{
  uint bit;
  for (bit=0 ; value > 1 ; value>>=1, bit++) ;
  return bit;
}

static char nbits[256] = {
  0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4,
  1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
  1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
  2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
  1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
  2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
  2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
  3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
  1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
  2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
  2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
  3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
  2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
  3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
  3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
  4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
};

uint my_count_bits(ulonglong v)
{
#if SIZEOF_LONG_LONG > 4
  /* The following code is a bit faster on 16 bit machines than if we would
     only shift v */
  ulong v2=(ulong) (v >> 32);
  return (uint) (uchar) (nbits[(uchar)  v] +
                         nbits[(uchar) (v >> 8)] +
                         nbits[(uchar) (v >> 16)] +
                         nbits[(uchar) (v >> 24)] +
                         nbits[(uchar) (v2)] +
                         nbits[(uchar) (v2 >> 8)] +
                         nbits[(uchar) (v2 >> 16)] +
                         nbits[(uchar) (v2 >> 24)]);
#else
  return (uint) (uchar) (nbits[(uchar)  v] +
                         nbits[(uchar) (v >> 8)] +
                         nbits[(uchar) (v >> 16)] +
                         nbits[(uchar) (v >> 24)]);
#endif
}

uint my_count_bits_ushort(ushort v)
{
  return nbits[v];
}


/*
  Next highest power of two

  SYNOPSIS
    my_round_up_to_next_power()
    v		Value to check

  RETURN
    Next or equal power of 2
    Note: 0 will return 0

  NOTES
    Algorithm by Sean Anderson, according to:
    http://graphics.stanford.edu/~seander/bithacks.html
    (Orignal code public domain)

    Comments shows how this works with 01100000000000000000000000001011
*/

uint32 my_round_up_to_next_power(uint32 v)
{
  v--;			/* 01100000000000000000000000001010 */
  v|= v >> 1;		/* 01110000000000000000000000001111 */
  v|= v >> 2;		/* 01111100000000000000000000001111 */
  v|= v >> 4;		/* 01111111110000000000000000001111 */
  v|= v >> 8;		/* 01111111111111111100000000001111 */
  v|= v >> 16;		/* 01111111111111111111111111111111 */
  return v+1;		/* 10000000000000000000000000000000 */
}