xref: /netbsd-src/external/lgpl3/gmp/dist/mpn/generic/popham.c (revision 19ef5b5b0bcb90f63509df6e78769de1b57c2758)
1 /* mpn_popcount, mpn_hamdist -- mpn bit population count/hamming distance.
2 
3 Copyright 1994, 1996, 2000, 2001, 2002, 2005, 2011, 2012 Free Software
4 Foundation, Inc.
5 
6 This file is part of the GNU MP Library.
7 
8 The GNU MP Library is free software; you can redistribute it and/or modify
9 it under the terms of the GNU Lesser General Public License as published by
10 the Free Software Foundation; either version 3 of the License, or (at your
11 option) any later version.
12 
13 The GNU MP Library is distributed in the hope that it will be useful, but
14 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
15 or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
16 License for more details.
17 
18 You should have received a copy of the GNU Lesser General Public License
19 along with the GNU MP Library.  If not, see http://www.gnu.org/licenses/.  */
20 
21 #include "gmp.h"
22 #include "gmp-impl.h"
23 
24 #if OPERATION_popcount
25 #define FNAME mpn_popcount
26 #define POPHAM(u,v) u
27 #endif
28 
29 #if OPERATION_hamdist
30 #define FNAME mpn_hamdist
31 #define POPHAM(u,v) u ^ v
32 #endif
33 
34 mp_bitcnt_t
35 FNAME (mp_srcptr up,
36 #if OPERATION_hamdist
37        mp_srcptr vp,
38 #endif
39        mp_size_t n) __GMP_NOTHROW
40 {
41   mp_bitcnt_t result = 0;
42   mp_limb_t p0, p1, p2, p3, x, p01, p23;
43   mp_size_t i;
44 
45   ASSERT (n >= 1);		/* Actually, this code handles any n, but some
46 				   assembly implementations do not.  */
47 
48   for (i = n >> 2; i != 0; i--)
49     {
50       p0 = POPHAM (up[0], vp[0]);
51       p0 -= (p0 >> 1) & MP_LIMB_T_MAX/3;				/* 2 0-2 */
52       p0 = ((p0 >> 2) & MP_LIMB_T_MAX/5) + (p0 & MP_LIMB_T_MAX/5);	/* 4 0-4 */
53 
54       p1 = POPHAM (up[1], vp[1]);
55       p1 -= (p1 >> 1) & MP_LIMB_T_MAX/3;				/* 2 0-2 */
56       p1 = ((p1 >> 2) & MP_LIMB_T_MAX/5) + (p1 & MP_LIMB_T_MAX/5);	/* 4 0-4 */
57 
58       p01 = p0 + p1;							/* 8 0-8 */
59       p01 = ((p01 >> 4) & MP_LIMB_T_MAX/17) + (p01 & MP_LIMB_T_MAX/17);	/* 8 0-16 */
60 
61       p2 = POPHAM (up[2], vp[2]);
62       p2 -= (p2 >> 1) & MP_LIMB_T_MAX/3;				/* 2 0-2 */
63       p2 = ((p2 >> 2) & MP_LIMB_T_MAX/5) + (p2 & MP_LIMB_T_MAX/5);	/* 4 0-4 */
64 
65       p3 = POPHAM (up[3], vp[3]);
66       p3 -= (p3 >> 1) & MP_LIMB_T_MAX/3;				/* 2 0-2 */
67       p3 = ((p3 >> 2) & MP_LIMB_T_MAX/5) + (p3 & MP_LIMB_T_MAX/5);	/* 4 0-4 */
68 
69       p23 = p2 + p3;							/* 8 0-8 */
70       p23 = ((p23 >> 4) & MP_LIMB_T_MAX/17) + (p23 & MP_LIMB_T_MAX/17);	/* 8 0-16 */
71 
72       x = p01 + p23;							/* 8 0-32 */
73       x = (x >> 8) + x;							/* 8 0-64 */
74       x = (x >> 16) + x;						/* 8 0-128 */
75 #if GMP_LIMB_BITS > 32
76       x = ((x >> 32) & 0xff) + (x & 0xff);				/* 8 0-256 */
77       result += x;
78 #else
79       result += x & 0xff;
80 #endif
81       up += 4;
82 #if OPERATION_hamdist
83       vp += 4;
84 #endif
85     }
86 
87   n &= 3;
88   if (n != 0)
89     {
90       x = 0;
91       do
92 	{
93 	  p0 = POPHAM (up[0], vp[0]);
94 	  p0 -= (p0 >> 1) & MP_LIMB_T_MAX/3;				/* 2 0-2 */
95 	  p0 = ((p0 >> 2) & MP_LIMB_T_MAX/5) + (p0 & MP_LIMB_T_MAX/5);	/* 4 0-4 */
96 	  p0 = ((p0 >> 4) + p0) & MP_LIMB_T_MAX/17;			/* 8 0-8 */
97 
98 	  x += p0;
99 	  up += 1;
100 #if OPERATION_hamdist
101 	  vp += 1;
102 #endif
103 	}
104       while (--n);
105 
106       x = (x >> 8) + x;
107       x = (x >> 16) + x;
108 #if GMP_LIMB_BITS > 32
109       x = (x >> 32) + x;
110 #endif
111       result += x & 0xff;
112     }
113 
114   return result;
115 }
116