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11 | 11 | #include "common.h" |
12 | 12 | #include "oid.h" |
13 | 13 |
|
14 | | -/* |
15 | | - * Conventional binary search loop looks like this: |
16 | | - * |
17 | | - * unsigned lo, hi; |
18 | | - * do { |
19 | | - * unsigned mi = (lo + hi) / 2; |
20 | | - * int cmp = "entry pointed at by mi" minus "target"; |
21 | | - * if (!cmp) |
22 | | - * return (mi is the wanted one) |
23 | | - * if (cmp > 0) |
24 | | - * hi = mi; "mi is larger than target" |
25 | | - * else |
26 | | - * lo = mi+1; "mi is smaller than target" |
27 | | - * } while (lo < hi); |
28 | | - * |
29 | | - * The invariants are: |
30 | | - * |
31 | | - * - When entering the loop, lo points at a slot that is never |
32 | | - * above the target (it could be at the target), hi points at a |
33 | | - * slot that is guaranteed to be above the target (it can never |
34 | | - * be at the target). |
35 | | - * |
36 | | - * - We find a point 'mi' between lo and hi (mi could be the same |
37 | | - * as lo, but never can be as same as hi), and check if it hits |
38 | | - * the target. There are three cases: |
39 | | - * |
40 | | - * - if it is a hit, we are happy. |
41 | | - * |
42 | | - * - if it is strictly higher than the target, we set it to hi, |
43 | | - * and repeat the search. |
44 | | - * |
45 | | - * - if it is strictly lower than the target, we update lo to |
46 | | - * one slot after it, because we allow lo to be at the target. |
47 | | - * |
48 | | - * If the loop exits, there is no matching entry. |
49 | | - * |
50 | | - * When choosing 'mi', we do not have to take the "middle" but |
51 | | - * anywhere in between lo and hi, as long as lo <= mi < hi is |
52 | | - * satisfied. When we somehow know that the distance between the |
53 | | - * target and lo is much shorter than the target and hi, we could |
54 | | - * pick mi that is much closer to lo than the midway. |
55 | | - * |
56 | | - * Now, we can take advantage of the fact that SHA-1 is a good hash |
57 | | - * function, and as long as there are enough entries in the table, we |
58 | | - * can expect uniform distribution. An entry that begins with for |
59 | | - * example "deadbeef..." is much likely to appear much later than in |
60 | | - * the midway of the table. It can reasonably be expected to be near |
61 | | - * 87% (222/256) from the top of the table. |
62 | | - * |
63 | | - * However, we do not want to pick "mi" too precisely. If the entry at |
64 | | - * the 87% in the above example turns out to be higher than the target |
65 | | - * we are looking for, we would end up narrowing the search space down |
66 | | - * only by 13%, instead of 50% we would get if we did a simple binary |
67 | | - * search. So we would want to hedge our bets by being less aggressive. |
68 | | - * |
69 | | - * The table at "table" holds at least "nr" entries of "elem_size" |
70 | | - * bytes each. Each entry has the SHA-1 key at "key_offset". The |
71 | | - * table is sorted by the SHA-1 key of the entries. The caller wants |
72 | | - * to find the entry with "key", and knows that the entry at "lo" is |
73 | | - * not higher than the entry it is looking for, and that the entry at |
74 | | - * "hi" is higher than the entry it is looking for. |
75 | | - */ |
76 | | -int sha1_entry_pos(const void *table, |
77 | | - size_t elem_size, |
78 | | - size_t key_offset, |
79 | | - unsigned lo, unsigned hi, unsigned nr, |
80 | | - const unsigned char *key) |
81 | | -{ |
82 | | - const unsigned char *base = (const unsigned char*)table; |
83 | | - const unsigned char *hi_key, *lo_key; |
84 | | - unsigned ofs_0; |
85 | | - |
86 | | - if (!nr || lo >= hi) |
87 | | - return -1; |
88 | | - |
89 | | - if (nr == hi) |
90 | | - hi_key = NULL; |
91 | | - else |
92 | | - hi_key = base + elem_size * hi + key_offset; |
93 | | - lo_key = base + elem_size * lo + key_offset; |
94 | | - |
95 | | - ofs_0 = 0; |
96 | | - do { |
97 | | - int cmp; |
98 | | - unsigned ofs, mi, range; |
99 | | - unsigned lov, hiv, kyv; |
100 | | - const unsigned char *mi_key; |
101 | | - |
102 | | - range = hi - lo; |
103 | | - if (hi_key) { |
104 | | - for (ofs = ofs_0; ofs < 20; ofs++) |
105 | | - if (lo_key[ofs] != hi_key[ofs]) |
106 | | - break; |
107 | | - ofs_0 = ofs; |
108 | | - /* |
109 | | - * byte 0 thru (ofs-1) are the same between |
110 | | - * lo and hi; ofs is the first byte that is |
111 | | - * different. |
112 | | - * |
113 | | - * If ofs==20, then no bytes are different, |
114 | | - * meaning we have entries with duplicate |
115 | | - * keys. We know that we are in a solid run |
116 | | - * of this entry (because the entries are |
117 | | - * sorted, and our lo and hi are the same, |
118 | | - * there can be nothing but this single key |
119 | | - * in between). So we can stop the search. |
120 | | - * Either one of these entries is it (and |
121 | | - * we do not care which), or we do not have |
122 | | - * it. |
123 | | - * |
124 | | - * Furthermore, we know that one of our |
125 | | - * endpoints must be the edge of the run of |
126 | | - * duplicates. For example, given this |
127 | | - * sequence: |
128 | | - * |
129 | | - * idx 0 1 2 3 4 5 |
130 | | - * key A C C C C D |
131 | | - * |
132 | | - * If we are searching for "B", we might |
133 | | - * hit the duplicate run at lo=1, hi=3 |
134 | | - * (e.g., by first mi=3, then mi=0). But we |
135 | | - * can never have lo > 1, because B < C. |
136 | | - * That is, if our key is less than the |
137 | | - * run, we know that "lo" is the edge, but |
138 | | - * we can say nothing of "hi". Similarly, |
139 | | - * if our key is greater than the run, we |
140 | | - * know that "hi" is the edge, but we can |
141 | | - * say nothing of "lo". |
142 | | - * |
143 | | - * Therefore if we do not find it, we also |
144 | | - * know where it would go if it did exist: |
145 | | - * just on the far side of the edge that we |
146 | | - * know about. |
147 | | - */ |
148 | | - if (ofs == 20) { |
149 | | - mi = lo; |
150 | | - mi_key = base + elem_size * mi + key_offset; |
151 | | - cmp = memcmp(mi_key, key, 20); |
152 | | - if (!cmp) |
153 | | - return mi; |
154 | | - if (cmp < 0) |
155 | | - return -1 - hi; |
156 | | - else |
157 | | - return -1 - lo; |
158 | | - } |
159 | | - |
160 | | - hiv = hi_key[ofs_0]; |
161 | | - if (ofs_0 < 19) |
162 | | - hiv = (hiv << 8) | hi_key[ofs_0+1]; |
163 | | - } else { |
164 | | - hiv = 256; |
165 | | - if (ofs_0 < 19) |
166 | | - hiv <<= 8; |
167 | | - } |
168 | | - lov = lo_key[ofs_0]; |
169 | | - kyv = key[ofs_0]; |
170 | | - if (ofs_0 < 19) { |
171 | | - lov = (lov << 8) | lo_key[ofs_0+1]; |
172 | | - kyv = (kyv << 8) | key[ofs_0+1]; |
173 | | - } |
174 | | - assert(lov < hiv); |
175 | | - |
176 | | - if (kyv < lov) |
177 | | - return -1 - lo; |
178 | | - if (hiv < kyv) |
179 | | - return -1 - hi; |
180 | | - |
181 | | - /* |
182 | | - * Even if we know the target is much closer to 'hi' |
183 | | - * than 'lo', if we pick too precisely and overshoot |
184 | | - * (e.g. when we know 'mi' is closer to 'hi' than to |
185 | | - * 'lo', pick 'mi' that is higher than the target), we |
186 | | - * end up narrowing the search space by a smaller |
187 | | - * amount (i.e. the distance between 'mi' and 'hi') |
188 | | - * than what we would have (i.e. about half of 'lo' |
189 | | - * and 'hi'). Hedge our bets to pick 'mi' less |
190 | | - * aggressively, i.e. make 'mi' a bit closer to the |
191 | | - * middle than we would otherwise pick. |
192 | | - */ |
193 | | - kyv = (kyv * 6 + lov + hiv) / 8; |
194 | | - if (lov < hiv - 1) { |
195 | | - if (kyv == lov) |
196 | | - kyv++; |
197 | | - else if (kyv == hiv) |
198 | | - kyv--; |
199 | | - } |
200 | | - mi = (range - 1) * (kyv - lov) / (hiv - lov) + lo; |
201 | | - |
202 | | -#ifdef INDEX_DEBUG_LOOKUP |
203 | | - printf("lo %u hi %u rg %u mi %u ", lo, hi, range, mi); |
204 | | - printf("ofs %u lov %x, hiv %x, kyv %x\n", |
205 | | - ofs_0, lov, hiv, kyv); |
206 | | -#endif |
207 | | - |
208 | | - if (!(lo <= mi && mi < hi)) { |
209 | | - giterr_set(GITERR_INVALID, "assertion failure: binary search invariant is false"); |
210 | | - return -1; |
211 | | - } |
212 | | - |
213 | | - mi_key = base + elem_size * mi + key_offset; |
214 | | - cmp = memcmp(mi_key + ofs_0, key + ofs_0, 20 - ofs_0); |
215 | | - if (!cmp) |
216 | | - return mi; |
217 | | - if (cmp > 0) { |
218 | | - hi = mi; |
219 | | - hi_key = mi_key; |
220 | | - } else { |
221 | | - lo = mi + 1; |
222 | | - lo_key = mi_key + elem_size; |
223 | | - } |
224 | | - } while (lo < hi); |
225 | | - return -((int)lo)-1; |
226 | | -} |
227 | | - |
228 | 14 | int sha1_position(const void *table, |
229 | 15 | size_t stride, |
230 | 16 | unsigned lo, unsigned hi, |
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