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skipset.h revision 1.1.1.1
      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