skipset.h revision 1.1 1 /* skipset.h -- set operations using a skiplist
2 // Copyright (C) 2024-2026 Mark Adler
3 // See MiniZip_info.txt for the license.
4
5 // This implements a skiplist set, i.e. just keys, no data, with ~O(log n) time
6 // insert and search operations. The application defines the type of a key, and
7 // provides a function to compare two keys.
8
9 // This header is not definitions of functions found in another source file --
10 // it creates the set functions, with the application's key type, right where
11 // the #include is. Before this header is #included, these must be defined:
12 //
13 // 1. A macro or typedef for set_key_t, the type of a key.
14 // 2. A macro or function set_cmp(a, b) to compare two keys. The return values
15 // are < 0 for a < b, 0 for a == b, and > 0 for a > b.
16 // 3. A macro or function set_drop(s, k) to release the key k's resources, if
17 // any, when doing a set_end() or set_clear(). s is a pointer to the set
18 // that key is in, for use with set_free() if desired.
19 //
20 // Example usage:
21 //
22 // typedef int set_key_t;
23 // #define set_cmp(a, b) ((a) < (b) ? -1 : (a) == (b) ? 0 : 1)
24 // #define set_drop(s, k)
25 // #include "skipset.h"
26 //
27 // int test(void) { // return 0: good, 1: bad, -1: out of memory
28 // set_t set;
29 // if (setjmp(set.env))
30 // return -1;
31 // set_start(&set);
32 // set_insert(&set, 2);
33 // set_insert(&set, 1);
34 // set_insert(&set, 7);
35 // int bad = !set_found(&set, 2);
36 // bad = bad || set_found(&set, 5);
37 // set_end(&set);
38 // return bad;
39 // }
40 //
41 // Interface summary (see more details below):
42 // - set_t is the type of the set being operated on (a set_t pointer is passed)
43 // - set_start() initializes a new, empty set (initialize set.env first)
44 // - set_insert() inserts a new key into the set, or not if it's already there
45 // - set_found() determines whether or not a key is in the set
46 // - set_end() ends the use of the set, freeing all memory
47 // - set_clear() empties the set, equivalent to set_end() and then set_start()
48 // - set_ok() checks if set appears to be usable, i.e. started and not ended
49 //
50 // Auxiliary functions available to the application:
51 // - set_alloc() allocates memory with optional tracking (#define SET_TRACK)
52 // - set_free() deallocates memory allocated by set_alloc()
53 // - set_rand() returns 32 random bits (seeded by set_start()) */
54
55 #ifndef SKIPSET_H
56 #define SKIPSET_H
57
58 #include <stdlib.h> /* realloc(), free(), NULL, size_t */
59 #include <stddef.h> /* ptrdiff_t */
60 #include <setjmp.h> /* jmp_buf, longjmp() */
61 #include <errno.h> /* ENOMEM */
62 #include <time.h> /* time(), clock() */
63 #include <assert.h> /* assert.h */
64 #include "ints.h" /* i16_t, ui32_t, ui64_t */
65
66 /* Structures and functions below noted as "--private--" should not be used by
67 // the application. set_t is partially private and partially public -- see the
68 // comments there.
69
70 // There is no POSIX random() in MSVC, and rand() is awful. For portability, we
71 // cannot rely on a library function for random numbers. Instead we use the
72 // fast and effective algorithm below, invented by Melissa O'Neill.
73
74 // *Really* minimal PCG32 code / (c) 2014 M.E. O'Neill / www.pcg-random.org
75 // Licensed under Apache License 2.0 (NO WARRANTY, etc. see website)
76 // --private-- Random number generator state. */
77 typedef struct {
78 ui64_t state; /* 64-bit generator state */
79 ui64_t inc; /* 63-bit sequence id */
80 } set_rand_t;
81 /* --private-- Initialize the state *gen using seed and seq. seed seeds the
82 // advancing 64-bit state. seq is a sequence selection constant. */
83 void set_seed(set_rand_t *gen, ui64_t seed, ui64_t seq) {
84 gen->inc = (seq << 1) | 1;
85 gen->state = (seed + gen->inc) * 6364136223846793005ULL + gen->inc;
86 }
87 /* Start a unique random number sequence using bits from noise sources. */
88 void set_uniq(set_rand_t *gen, const void *ptr) {
89 set_seed(gen, ((ui64_t)(ptrdiff_t)ptr << 32) ^
90 ((ui64_t)time(NULL) << 12) ^ clock(), 0);
91 }
92 /* Return 32 random bits, advancing the state *gen. */
93 ui32_t set_rand(set_rand_t *gen) {
94 ui64_t state = gen->state;
95 gen->state = state * 6364136223846793005ULL + gen->inc;
96 ui32_t mix = (ui32_t)(((state >> 18) ^ state) >> 27);
97 int rot = state >> 59;
98 return (mix >> rot) | (mix << ((-rot) & 31));
99 }
100 /* End of PCG32 code. */
101
102 /* --private-- Linked-list node. */
103 typedef struct set_node_s set_node_t;
104 struct set_node_s {
105 set_key_t key; /* the key (not used for head or path) */
106 i16_t size; /* number of allocated pointers in right[] */
107 i16_t fill; /* number of pointers in right[] filled in */
108 set_node_t **right; /* pointer for each level, each to the right */
109 };
110
111 /* A set. The application sets env, may use gen with set_rand(), and may read
112 // allocs and memory. The remaining variables are --private-- . */
113 typedef struct set_s {
114 set_node_t *head; /* skiplist head -- no key, just links */
115 set_node_t *path; /* right[] is path to key from set_found() */
116 set_node_t *node; /* node under construction, in case of longjmp() */
117 i16_t depth; /* maximum depth of the skiplist */
118 ui64_t ran; /* a precious trove of random bits */
119 set_rand_t gen; /* random number generator state */
120 jmp_buf env; /* setjmp() environment for allocation errors */
121 #ifdef SET_TRACK
122 size_t allocs; /* number of allocations */
123 size_t memory; /* total amount of allocated memory (>= requests) */
124 #endif
125 } set_t;
126
127 /* Memory allocation and deallocation. set_alloc(set, ptr, size) returns a
128 // pointer to an allocation of size bytes if ptr is NULL, or the previous
129 // allocation ptr resized to size bytes. set_alloc() will never return NULL.
130 // set_free(set, ptr) frees an allocation created by set_alloc(). These may be
131 // used by the application. e.g. if allocation tracking is desired. */
132 #ifdef SET_TRACK
133 /* Track the number of allocations and the total backing memory size. */
134 # if defined(_WIN32)
135 # include <malloc.h>
136 # define SET_ALLOC_SIZE(ptr) _msize(ptr)
137 # elif defined(__MACH__)
138 # include <malloc/malloc.h>
139 # define SET_ALLOC_SIZE(ptr) malloc_size(ptr)
140 # elif defined(__linux__)
141 # include <malloc.h>
142 # define SET_ALLOC_SIZE(ptr) malloc_usable_size(ptr)
143 # elif defined(__FreeBSD__)
144 # include <malloc_np.h>
145 # define SET_ALLOC_SIZE(ptr) malloc_usable_size(ptr)
146 # elif defined(__NetBSD__)
147 # include <jemalloc/jemalloc.h>
148 # define SET_ALLOC_SIZE(ptr) malloc_usable_size(ptr)
149 # else // e.g. OpenBSD
150 # define SET_ALLOC_SIZE(ptr) 0
151 # endif
152 // With tracking.
153 void *set_alloc(set_t *set, void *ptr, size_t size) {
154 size_t had = ptr == NULL ? 0 : SET_ALLOC_SIZE(ptr);
155 void *mem = realloc(ptr, size);
156 if (mem == NULL)
157 longjmp(set->env, ENOMEM);
158 set->allocs += ptr == NULL;
159 set->memory += SET_ALLOC_SIZE(mem) - had;
160 return mem;
161 }
162 void set_free(set_t *set, void *ptr) {
163 if (ptr != NULL) {
164 set->allocs--;
165 set->memory -= SET_ALLOC_SIZE(ptr);
166 free(ptr);
167 }
168 }
169 #else
170 /* Without tracking. */
171 void *set_alloc(set_t *set, void *ptr, size_t size) {
172 void *mem = realloc(ptr, size);
173 if (mem == NULL)
174 longjmp(set->env, ENOMEM);
175 return mem;
176 }
177 void set_free(set_t *set, void *ptr) {
178 (void)set;
179 free(ptr);
180 }
181 #endif
182
183 /* --private-- Grow node's array right[] as needed to be able to hold at least
184 // want links. If fill is true, assure that the first want links are filled in,
185 // setting them to set->head if not previously filled in. Otherwise it is
186 // assumed that the first want links are about to be filled in. */
187 void set_grow(set_t *set, set_node_t *node, int want, int fill) {
188 if (node->size < want) {
189 int more = node->size ? node->size : 1;
190 while (more < want)
191 more <<= 1;
192 node->right = set_alloc(set, node->right,
193 (size_t)more * sizeof(set_node_t *));
194 node->size = (i16_t)more;
195 }
196 int i;
197 if (fill)
198 for (i = node->fill; i < want; i++)
199 node->right[i] = set->head;
200 node->fill = (i16_t)want;
201 }
202
203 /* --private-- Return a new node. key is left uninitialized. */
204 set_node_t *set_node(set_t *set) {
205 set_node_t *node = set_alloc(set, NULL, sizeof(set_node_t));
206 node->size = 0;
207 node->fill = 0;
208 node->right = NULL;
209 return node;
210 }
211
212 /* --private-- Free the list linked from head, along with the keys. */
213 void set_sweep(set_t *set) {
214 set_node_t *step = set->head->right[0];
215 while (step != set->head) {
216 set_node_t *next = step->right[0]; /* save link to next node */
217 set_drop(set, step->key);
218 set_free(set, step->right);
219 set_free(set, step);
220 step = next;
221 }
222 }
223
224 /* Initialize a new set. set->env must be initialized using setjmp() before
225 // set_start() is called. A longjmp(set->env, ENOMEM) will be used to handle a
226 // memory allocation failure during any of the operations. (See setjmp.h and
227 // errno.h.) The set can still be used if this happens, assuming that it didn't
228 // happen during set_start(). Whether set_start() completed or not, set_end()
229 // can be used to free the set's memory after a longjmp(). */
230 void set_start(set_t *set) {
231 #ifdef SET_TRACK
232 set->allocs = 0;
233 set->memory = 0;
234 #endif
235 set->head = set->path = set->node = NULL; /* in case set_node() fails */
236 set->path = set_node(set);
237 set->head = set_node(set);
238 set_grow(set, set->head, 1, 1); /* one link back to head for an empty set */
239 *(unsigned char *)&set->head->key = 137; /* set id */
240 set->depth = 0;
241 set_uniq(&set->gen, set);
242 set->ran = 1;
243 }
244
245 /* Return true if *set appears to be in a usable state. If *set has been zeroed
246 // out, then set_ok(set) will be false and set_end(set) will be safe. */
247 int set_ok(set_t *set) {
248 return set->head != NULL &&
249 set->head->right != NULL &&
250 *(unsigned char *)&set->head->key == 137;
251 }
252
253 /* Empty the set. This frees the memory used for the previous set contents.
254 // After set_clear(), *set is ready for use, as if after a set_start(). */
255 void set_clear(set_t *set) {
256 assert(set_ok(set) && "improper use");
257
258 /* Free all the keys and their nodes. */
259 set_sweep(set);
260
261 /* Leave the head and path allocations as is. Clear their contents, with
262 // head pointing to itself and setting depth to zero, for an empty set. */
263 set->head->right[0] = set->head;
264 set->head->fill = 1;
265 set->path->fill = 0;
266 set->depth = 0;
267 }
268
269 /* Done using the set -- free all allocations. The only operation on *set
270 // permitted after this is set_start(). Though another set_end() would do no
271 // harm. This can be done at any time after a set_start(), or after a longjmp()
272 // on any allocation failure, including during a set_start(). */
273 void set_end(set_t *set) {
274 if (set->head != NULL) {
275 /* Empty the set and free the head node. */
276 if (set->head->right != NULL) {
277 set_sweep(set);
278 set_free(set, set->head->right);
279 }
280 set_free(set, set->head);
281 set->head = NULL;
282 }
283 if (set->path != NULL) {
284 /* Free the path work area. */
285 set_free(set, set->path->right);
286 set_free(set, set->path);
287 set->path = NULL;
288 }
289 if (set->node != NULL) {
290 /* Free the node that was under construction when longjmp() hit. */
291 set_drop(set, set->node->key);
292 set_free(set, set->node->right);
293 set_free(set, set->node);
294 set->node = NULL;
295 }
296 }
297
298 /* Look for key. Return 1 if found or 0 if not. This also puts the path to get
299 // there in set->path, for use by set_insert(). */
300 int set_found(set_t *set, set_key_t key) {
301 assert(set_ok(set) && "improper use");
302
303 /* Start at depth and work down and right as determined by key comparisons. */
304 set_node_t *head = set->head, *here = head;
305 int i = set->depth;
306 set_grow(set, set->path, i + 1, 0);
307 do {
308 while (here->right[i] != head &&
309 set_cmp(here->right[i]->key, key) < 0)
310 here = here->right[i];
311 set->path->right[i] = here;
312 } while (i--);
313
314 /* See if the key matches. */
315 here = here->right[0];
316 return here != head && set_cmp(here->key, key) == 0;
317 }
318
319 /* Insert the key key. Return 0 on success, or 1 if key is already in the set. */
320 int set_insert(set_t *set, set_key_t key) {
321 assert(set_ok(set) && "improper use");
322
323 if (set_found(set, key))
324 /* That key is already in the set. */
325 return 1;
326
327 /* Randomly generate a new level-- level 0 with probability 1/2, 1 with
328 // probability 1/4, 2 with probability 1/8, etc. */
329 int level = 0;
330 for (;;) {
331 if (set->ran == 1)
332 /* Ran out. Get another 32 random bits. */
333 set->ran = set_rand(&set->gen) | (1ULL << 32);
334 int bit = set->ran & 1;
335 set->ran >>= 1;
336 if (bit)
337 break;
338 assert(level < 32767 &&
339 "Overhead, without any fuss, the stars were going out.");
340 level++;
341 }
342 if (level > set->depth) {
343 /* The maximum depth is now deeper. Update the structures. */
344 set_grow(set, set->path, level + 1, 1);
345 set_grow(set, set->head, level + 1, 1);
346 set->depth = (i16_t)level;
347 }
348
349 /* Make a new node for the provided key, and insert it in the lists up to
350 // and including level. */
351 set->node = set_node(set);
352 set->node->key = key;
353 set_grow(set, set->node, level + 1, 0);
354 int i;
355 for (i = 0; i <= level; i++) {
356 set->node->right[i] = set->path->right[i]->right[i];
357 set->path->right[i]->right[i] = set->node;
358 }
359 set->node = NULL;
360 return 0;
361 }
362
363 #else
364 #error ** another skiplist set already created here
365 /* Would need to implement a prefix in order to support multiple sets. */
366 #endif
367