/* mpn_popcount, mpn_hamdist -- mpn bit population count/hamming distance. Copyright 1994, 1996, 2000-2002, 2005, 2011, 2012 Free Software Foundation, Inc. This file is part of the GNU MP Library. The GNU MP Library is free software; you can redistribute it and/or modify it under the terms of either: * the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. or * the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. or both in parallel, as here. The GNU MP Library 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 copies of the GNU General Public License and the GNU Lesser General Public License along with the GNU MP Library. If not, see https://www.gnu.org/licenses/. */ #include "gmp.h" #include "gmp-impl.h" #if OPERATION_popcount #define FNAME mpn_popcount #define POPHAM(u,v) u #endif #if OPERATION_hamdist #define FNAME mpn_hamdist #define POPHAM(u,v) u ^ v #endif mp_bitcnt_t FNAME (mp_srcptr up, #if OPERATION_hamdist mp_srcptr vp, #endif mp_size_t n) __GMP_NOTHROW { mp_bitcnt_t result = 0; mp_limb_t p0, p1, p2, p3, x, p01, p23; mp_size_t i; ASSERT (n >= 1); /* Actually, this code handles any n, but some assembly implementations do not. */ for (i = n >> 2; i != 0; i--) { p0 = POPHAM (up[0], vp[0]); p0 -= (p0 >> 1) & MP_LIMB_T_MAX/3; /* 2 0-2 */ p0 = ((p0 >> 2) & MP_LIMB_T_MAX/5) + (p0 & MP_LIMB_T_MAX/5); /* 4 0-4 */ p1 = POPHAM (up[1], vp[1]); p1 -= (p1 >> 1) & MP_LIMB_T_MAX/3; /* 2 0-2 */ p1 = ((p1 >> 2) & MP_LIMB_T_MAX/5) + (p1 & MP_LIMB_T_MAX/5); /* 4 0-4 */ p01 = p0 + p1; /* 8 0-8 */ p01 = ((p01 >> 4) & MP_LIMB_T_MAX/17) + (p01 & MP_LIMB_T_MAX/17); /* 8 0-16 */ p2 = POPHAM (up[2], vp[2]); p2 -= (p2 >> 1) & MP_LIMB_T_MAX/3; /* 2 0-2 */ p2 = ((p2 >> 2) & MP_LIMB_T_MAX/5) + (p2 & MP_LIMB_T_MAX/5); /* 4 0-4 */ p3 = POPHAM (up[3], vp[3]); p3 -= (p3 >> 1) & MP_LIMB_T_MAX/3; /* 2 0-2 */ p3 = ((p3 >> 2) & MP_LIMB_T_MAX/5) + (p3 & MP_LIMB_T_MAX/5); /* 4 0-4 */ p23 = p2 + p3; /* 8 0-8 */ p23 = ((p23 >> 4) & MP_LIMB_T_MAX/17) + (p23 & MP_LIMB_T_MAX/17); /* 8 0-16 */ x = p01 + p23; /* 8 0-32 */ x = (x >> 8) + x; /* 8 0-64 */ x = (x >> 16) + x; /* 8 0-128 */ #if GMP_LIMB_BITS > 32 x = ((x >> 32) & 0xff) + (x & 0xff); /* 8 0-256 */ result += x; #else result += x & 0xff; #endif up += 4; #if OPERATION_hamdist vp += 4; #endif } n &= 3; if (n != 0) { x = 0; do { p0 = POPHAM (up[0], vp[0]); p0 -= (p0 >> 1) & MP_LIMB_T_MAX/3; /* 2 0-2 */ p0 = ((p0 >> 2) & MP_LIMB_T_MAX/5) + (p0 & MP_LIMB_T_MAX/5); /* 4 0-4 */ p0 = ((p0 >> 4) + p0) & MP_LIMB_T_MAX/17; /* 8 0-8 */ x += p0; up += 1; #if OPERATION_hamdist vp += 1; #endif } while (--n); x = (x >> 8) + x; x = (x >> 16) + x; #if GMP_LIMB_BITS > 32 x = (x >> 32) + x; #endif result += x & 0xff; } return result; }