1/* memrchr -- find the last occurrence of a byte in a memory block
2
3   Copyright (C) 1991, 1993, 1996, 1997, 1999, 2000, 2003, 2004, 2005,
4   2006, 2007 Free Software Foundation, Inc.
5
6   Based on strlen implementation by Torbjorn Granlund (tege@sics.se),
7   with help from Dan Sahlin (dan@sics.se) and
8   commentary by Jim Blandy (jimb@ai.mit.edu);
9   adaptation to memchr suggested by Dick Karpinski (dick@cca.ucsf.edu),
10   and implemented by Roland McGrath (roland@ai.mit.edu).
11
12   This program is free software: you can redistribute it and/or modify
13   it under the terms of the GNU General Public License as published by
14   the Free Software Foundation; either version 3 of the License, or
15   (at your option) any later version.
16
17   This program is distributed in the hope that it will be useful,
18   but WITHOUT ANY WARRANTY; without even the implied warranty of
19   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
20   GNU General Public License for more details.
21
22   You should have received a copy of the GNU General Public License
23   along with this program.  If not, see <http://www.gnu.org/licenses/>.  */
24
25#if defined _LIBC
26# include <memcopy.h>
27#else
28# include <config.h>
29# define reg_char char
30#endif
31
32#include <string.h>
33#include <limits.h>
34
35#undef __memrchr
36#undef memrchr
37
38#ifndef weak_alias
39# define __memrchr memrchr
40#endif
41
42/* Search no more than N bytes of S for C.  */
43void *
44__memrchr (void const *s, int c_in, size_t n)
45{
46  const unsigned char *char_ptr;
47  const unsigned long int *longword_ptr;
48  unsigned long int longword, magic_bits, charmask;
49  unsigned reg_char c;
50  int i;
51
52  c = (unsigned char) c_in;
53
54  /* Handle the last few characters by reading one character at a time.
55     Do this until CHAR_PTR is aligned on a longword boundary.  */
56  for (char_ptr = (const unsigned char *) s + n;
57       n > 0 && (size_t) char_ptr % sizeof longword != 0;
58       --n)
59    if (*--char_ptr == c)
60      return (void *) char_ptr;
61
62  /* All these elucidatory comments refer to 4-byte longwords,
63     but the theory applies equally well to any size longwords.  */
64
65  longword_ptr = (const unsigned long int *) char_ptr;
66
67  /* Bits 31, 24, 16, and 8 of this number are zero.  Call these bits
68     the "holes."  Note that there is a hole just to the left of
69     each byte, with an extra at the end:
70
71     bits:  01111110 11111110 11111110 11111111
72     bytes: AAAAAAAA BBBBBBBB CCCCCCCC DDDDDDDD
73
74     The 1-bits make sure that carries propagate to the next 0-bit.
75     The 0-bits provide holes for carries to fall into.  */
76
77  /* Set MAGIC_BITS to be this pattern of 1 and 0 bits.
78     Set CHARMASK to be a longword, each of whose bytes is C.  */
79
80  magic_bits = 0xfefefefe;
81  charmask = c | (c << 8);
82  charmask |= charmask << 16;
83#if 0xffffffffU < ULONG_MAX
84  magic_bits |= magic_bits << 32;
85  charmask |= charmask << 32;
86  if (8 < sizeof longword)
87    for (i = 64; i < sizeof longword * 8; i *= 2)
88      {
89	magic_bits |= magic_bits << i;
90	charmask |= charmask << i;
91      }
92#endif
93  magic_bits = (ULONG_MAX >> 1) & (magic_bits | 1);
94
95  /* Instead of the traditional loop which tests each character,
96     we will test a longword at a time.  The tricky part is testing
97     if *any of the four* bytes in the longword in question are zero.  */
98  while (n >= sizeof longword)
99    {
100      /* We tentatively exit the loop if adding MAGIC_BITS to
101	 LONGWORD fails to change any of the hole bits of LONGWORD.
102
103	 1) Is this safe?  Will it catch all the zero bytes?
104	 Suppose there is a byte with all zeros.  Any carry bits
105	 propagating from its left will fall into the hole at its
106	 least significant bit and stop.  Since there will be no
107	 carry from its most significant bit, the LSB of the
108	 byte to the left will be unchanged, and the zero will be
109	 detected.
110
111	 2) Is this worthwhile?  Will it ignore everything except
112	 zero bytes?  Suppose every byte of LONGWORD has a bit set
113	 somewhere.  There will be a carry into bit 8.  If bit 8
114	 is set, this will carry into bit 16.  If bit 8 is clear,
115	 one of bits 9-15 must be set, so there will be a carry
116	 into bit 16.  Similarly, there will be a carry into bit
117	 24.  If one of bits 24-30 is set, there will be a carry
118	 into bit 31, so all of the hole bits will be changed.
119
120	 The one misfire occurs when bits 24-30 are clear and bit
121	 31 is set; in this case, the hole at bit 31 is not
122	 changed.  If we had access to the processor carry flag,
123	 we could close this loophole by putting the fourth hole
124	 at bit 32!
125
126	 So it ignores everything except 128's, when they're aligned
127	 properly.
128
129	 3) But wait!  Aren't we looking for C, not zero?
130	 Good point.  So what we do is XOR LONGWORD with a longword,
131	 each of whose bytes is C.  This turns each byte that is C
132	 into a zero.  */
133
134      longword = *--longword_ptr ^ charmask;
135
136      /* Add MAGIC_BITS to LONGWORD.  */
137      if ((((longword + magic_bits)
138
139	    /* Set those bits that were unchanged by the addition.  */
140	    ^ ~longword)
141
142	   /* Look at only the hole bits.  If any of the hole bits
143	      are unchanged, most likely one of the bytes was a
144	      zero.  */
145	   & ~magic_bits) != 0)
146	{
147	  /* Which of the bytes was C?  If none of them were, it was
148	     a misfire; continue the search.  */
149
150	  const unsigned char *cp = (const unsigned char *) longword_ptr;
151
152	  if (8 < sizeof longword)
153	    for (i = sizeof longword - 1; 8 <= i; i--)
154	      if (cp[i] == c)
155		return (void *) &cp[i];
156	  if (7 < sizeof longword && cp[7] == c)
157	    return (void *) &cp[7];
158	  if (6 < sizeof longword && cp[6] == c)
159	    return (void *) &cp[6];
160	  if (5 < sizeof longword && cp[5] == c)
161	    return (void *) &cp[5];
162	  if (4 < sizeof longword && cp[4] == c)
163	    return (void *) &cp[4];
164	  if (cp[3] == c)
165	    return (void *) &cp[3];
166	  if (cp[2] == c)
167	    return (void *) &cp[2];
168	  if (cp[1] == c)
169	    return (void *) &cp[1];
170	  if (cp[0] == c)
171	    return (void *) cp;
172	}
173
174      n -= sizeof longword;
175    }
176
177  char_ptr = (const unsigned char *) longword_ptr;
178
179  while (n-- > 0)
180    {
181      if (*--char_ptr == c)
182	return (void *) char_ptr;
183    }
184
185  return 0;
186}
187#ifdef weak_alias
188weak_alias (__memrchr, memrchr)
189#endif
190