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      1 
      2 /* set object implementation
      3    Written and maintained by Raymond D. Hettinger <python (at) rcn.com>
      4    Derived from Lib/sets.py and Objects/dictobject.c.
      5 
      6    Copyright (c) 2003-2007 Python Software Foundation.
      7    All rights reserved.
      8 */
      9 
     10 #include "Python.h"
     11 #include "structmember.h"
     12 
     13 /* Set a key error with the specified argument, wrapping it in a
     14  * tuple automatically so that tuple keys are not unpacked as the
     15  * exception arguments. */
     16 static void
     17 set_key_error(PyObject *arg)
     18 {
     19     PyObject *tup;
     20     tup = PyTuple_Pack(1, arg);
     21     if (!tup)
     22         return; /* caller will expect error to be set anyway */
     23     PyErr_SetObject(PyExc_KeyError, tup);
     24     Py_DECREF(tup);
     25 }
     26 
     27 /* This must be >= 1. */
     28 #define PERTURB_SHIFT 5
     29 
     30 /* Object used as dummy key to fill deleted entries */
     31 static PyObject *dummy = NULL; /* Initialized by first call to make_new_set() */
     32 
     33 #ifdef Py_REF_DEBUG
     34 PyObject *
     35 _PySet_Dummy(void)
     36 {
     37     return dummy;
     38 }
     39 #endif
     40 
     41 #define INIT_NONZERO_SET_SLOTS(so) do {                         \
     42     (so)->table = (so)->smalltable;                             \
     43     (so)->mask = PySet_MINSIZE - 1;                             \
     44     (so)->hash = -1;                                            \
     45     } while(0)
     46 
     47 #define EMPTY_TO_MINSIZE(so) do {                               \
     48     memset((so)->smalltable, 0, sizeof((so)->smalltable));      \
     49     (so)->used = (so)->fill = 0;                                \
     50     INIT_NONZERO_SET_SLOTS(so);                                 \
     51     } while(0)
     52 
     53 /* Reuse scheme to save calls to malloc, free, and memset */
     54 #ifndef PySet_MAXFREELIST
     55 #define PySet_MAXFREELIST 80
     56 #endif
     57 static PySetObject *free_list[PySet_MAXFREELIST];
     58 static int numfree = 0;
     59 
     60 /*
     61 The basic lookup function used by all operations.
     62 This is based on Algorithm D from Knuth Vol. 3, Sec. 6.4.
     63 Open addressing is preferred over chaining since the link overhead for
     64 chaining would be substantial (100% with typical malloc overhead).
     65 
     66 The initial probe index is computed as hash mod the table size. Subsequent
     67 probe indices are computed as explained in Objects/dictobject.c.
     68 
     69 All arithmetic on hash should ignore overflow.
     70 
     71 Unlike the dictionary implementation, the lookkey functions can return
     72 NULL if the rich comparison returns an error.
     73 */
     74 
     75 static setentry *
     76 set_lookkey(PySetObject *so, PyObject *key, register long hash)
     77 {
     78     register Py_ssize_t i;
     79     register size_t perturb;
     80     register setentry *freeslot;
     81     register size_t mask = so->mask;
     82     setentry *table = so->table;
     83     register setentry *entry;
     84     register int cmp;
     85     PyObject *startkey;
     86 
     87     i = hash & mask;
     88     entry = &table[i];
     89     if (entry->key == NULL || entry->key == key)
     90         return entry;
     91 
     92     if (entry->key == dummy)
     93         freeslot = entry;
     94     else {
     95         if (entry->hash == hash) {
     96             startkey = entry->key;
     97             Py_INCREF(startkey);
     98             cmp = PyObject_RichCompareBool(startkey, key, Py_EQ);
     99             Py_DECREF(startkey);
    100             if (cmp < 0)
    101                 return NULL;
    102             if (table == so->table && entry->key == startkey) {
    103                 if (cmp > 0)
    104                     return entry;
    105             }
    106             else {
    107                 /* The compare did major nasty stuff to the
    108                  * set:  start over.
    109                  */
    110                 return set_lookkey(so, key, hash);
    111             }
    112         }
    113         freeslot = NULL;
    114     }
    115 
    116     /* In the loop, key == dummy is by far (factor of 100s) the
    117        least likely outcome, so test for that last. */
    118     for (perturb = hash; ; perturb >>= PERTURB_SHIFT) {
    119         i = (i << 2) + i + perturb + 1;
    120         entry = &table[i & mask];
    121         if (entry->key == NULL) {
    122             if (freeslot != NULL)
    123                 entry = freeslot;
    124             break;
    125         }
    126         if (entry->key == key)
    127             break;
    128         if (entry->hash == hash && entry->key != dummy) {
    129             startkey = entry->key;
    130             Py_INCREF(startkey);
    131             cmp = PyObject_RichCompareBool(startkey, key, Py_EQ);
    132             Py_DECREF(startkey);
    133             if (cmp < 0)
    134                 return NULL;
    135             if (table == so->table && entry->key == startkey) {
    136                 if (cmp > 0)
    137                     break;
    138             }
    139             else {
    140                 /* The compare did major nasty stuff to the
    141                  * set:  start over.
    142                  */
    143                 return set_lookkey(so, key, hash);
    144             }
    145         }
    146         else if (entry->key == dummy && freeslot == NULL)
    147             freeslot = entry;
    148     }
    149     return entry;
    150 }
    151 
    152 /*
    153  * Hacked up version of set_lookkey which can assume keys are always strings;
    154  * This means we can always use _PyString_Eq directly and not have to check to
    155  * see if the comparison altered the table.
    156  */
    157 static setentry *
    158 set_lookkey_string(PySetObject *so, PyObject *key, register long hash)
    159 {
    160     register Py_ssize_t i;
    161     register size_t perturb;
    162     register setentry *freeslot;
    163     register size_t mask = so->mask;
    164     setentry *table = so->table;
    165     register setentry *entry;
    166 
    167     /* Make sure this function doesn't have to handle non-string keys,
    168        including subclasses of str; e.g., one reason to subclass
    169        strings is to override __eq__, and for speed we don't cater to
    170        that here. */
    171     if (!PyString_CheckExact(key)) {
    172         so->lookup = set_lookkey;
    173         return set_lookkey(so, key, hash);
    174     }
    175     i = hash & mask;
    176     entry = &table[i];
    177     if (entry->key == NULL || entry->key == key)
    178         return entry;
    179     if (entry->key == dummy)
    180         freeslot = entry;
    181     else {
    182         if (entry->hash == hash && _PyString_Eq(entry->key, key))
    183             return entry;
    184         freeslot = NULL;
    185     }
    186 
    187     /* In the loop, key == dummy is by far (factor of 100s) the
    188        least likely outcome, so test for that last. */
    189     for (perturb = hash; ; perturb >>= PERTURB_SHIFT) {
    190         i = (i << 2) + i + perturb + 1;
    191         entry = &table[i & mask];
    192         if (entry->key == NULL)
    193             return freeslot == NULL ? entry : freeslot;
    194         if (entry->key == key
    195             || (entry->hash == hash
    196             && entry->key != dummy
    197             && _PyString_Eq(entry->key, key)))
    198             return entry;
    199         if (entry->key == dummy && freeslot == NULL)
    200             freeslot = entry;
    201     }
    202     assert(0);          /* NOT REACHED */
    203     return 0;
    204 }
    205 
    206 /*
    207 Internal routine to insert a new key into the table.
    208 Used by the public insert routine.
    209 Eats a reference to key.
    210 */
    211 static int
    212 set_insert_key(register PySetObject *so, PyObject *key, long hash)
    213 {
    214     register setentry *entry;
    215     typedef setentry *(*lookupfunc)(PySetObject *, PyObject *, long);
    216 
    217     assert(so->lookup != NULL);
    218     entry = so->lookup(so, key, hash);
    219     if (entry == NULL)
    220         return -1;
    221     if (entry->key == NULL) {
    222         /* UNUSED */
    223         so->fill++;
    224         entry->key = key;
    225         entry->hash = hash;
    226         so->used++;
    227     } else if (entry->key == dummy) {
    228         /* DUMMY */
    229         entry->key = key;
    230         entry->hash = hash;
    231         so->used++;
    232         Py_DECREF(dummy);
    233     } else {
    234         /* ACTIVE */
    235         Py_DECREF(key);
    236     }
    237     return 0;
    238 }
    239 
    240 /*
    241 Internal routine used by set_table_resize() to insert an item which is
    242 known to be absent from the set.  This routine also assumes that
    243 the set contains no deleted entries.  Besides the performance benefit,
    244 using set_insert_clean() in set_table_resize() is dangerous (SF bug #1456209).
    245 Note that no refcounts are changed by this routine; if needed, the caller
    246 is responsible for incref'ing `key`.
    247 */
    248 static void
    249 set_insert_clean(register PySetObject *so, PyObject *key, long hash)
    250 {
    251     register size_t i;
    252     register size_t perturb;
    253     register size_t mask = (size_t)so->mask;
    254     setentry *table = so->table;
    255     register setentry *entry;
    256 
    257     i = hash & mask;
    258     entry = &table[i];
    259     for (perturb = hash; entry->key != NULL; perturb >>= PERTURB_SHIFT) {
    260         i = (i << 2) + i + perturb + 1;
    261         entry = &table[i & mask];
    262     }
    263     so->fill++;
    264     entry->key = key;
    265     entry->hash = hash;
    266     so->used++;
    267 }
    268 
    269 /*
    270 Restructure the table by allocating a new table and reinserting all
    271 keys again.  When entries have been deleted, the new table may
    272 actually be smaller than the old one.
    273 */
    274 static int
    275 set_table_resize(PySetObject *so, Py_ssize_t minused)
    276 {
    277     Py_ssize_t newsize;
    278     setentry *oldtable, *newtable, *entry;
    279     Py_ssize_t i;
    280     int is_oldtable_malloced;
    281     setentry small_copy[PySet_MINSIZE];
    282 
    283     assert(minused >= 0);
    284 
    285     /* Find the smallest table size > minused. */
    286     for (newsize = PySet_MINSIZE;
    287          newsize <= minused && newsize > 0;
    288          newsize <<= 1)
    289         ;
    290     if (newsize <= 0) {
    291         PyErr_NoMemory();
    292         return -1;
    293     }
    294 
    295     /* Get space for a new table. */
    296     oldtable = so->table;
    297     assert(oldtable != NULL);
    298     is_oldtable_malloced = oldtable != so->smalltable;
    299 
    300     if (newsize == PySet_MINSIZE) {
    301         /* A large table is shrinking, or we can't get any smaller. */
    302         newtable = so->smalltable;
    303         if (newtable == oldtable) {
    304             if (so->fill == so->used) {
    305                 /* No dummies, so no point doing anything. */
    306                 return 0;
    307             }
    308             /* We're not going to resize it, but rebuild the
    309                table anyway to purge old dummy entries.
    310                Subtle:  This is *necessary* if fill==size,
    311                as set_lookkey needs at least one virgin slot to
    312                terminate failing searches.  If fill < size, it's
    313                merely desirable, as dummies slow searches. */
    314             assert(so->fill > so->used);
    315             memcpy(small_copy, oldtable, sizeof(small_copy));
    316             oldtable = small_copy;
    317         }
    318     }
    319     else {
    320         newtable = PyMem_NEW(setentry, newsize);
    321         if (newtable == NULL) {
    322             PyErr_NoMemory();
    323             return -1;
    324         }
    325     }
    326 
    327     /* Make the set empty, using the new table. */
    328     assert(newtable != oldtable);
    329     so->table = newtable;
    330     so->mask = newsize - 1;
    331     memset(newtable, 0, sizeof(setentry) * newsize);
    332     so->used = 0;
    333     i = so->fill;
    334     so->fill = 0;
    335 
    336     /* Copy the data over; this is refcount-neutral for active entries;
    337        dummy entries aren't copied over, of course */
    338     for (entry = oldtable; i > 0; entry++) {
    339         if (entry->key == NULL) {
    340             /* UNUSED */
    341             ;
    342         } else if (entry->key == dummy) {
    343             /* DUMMY */
    344             --i;
    345             assert(entry->key == dummy);
    346             Py_DECREF(entry->key);
    347         } else {
    348             /* ACTIVE */
    349             --i;
    350             set_insert_clean(so, entry->key, entry->hash);
    351         }
    352     }
    353 
    354     if (is_oldtable_malloced)
    355         PyMem_DEL(oldtable);
    356     return 0;
    357 }
    358 
    359 /* CAUTION: set_add_key/entry() must guarantee it won't resize the table */
    360 
    361 static int
    362 set_add_entry(register PySetObject *so, setentry *entry)
    363 {
    364     register Py_ssize_t n_used;
    365     PyObject *key = entry->key;
    366     long hash = entry->hash;
    367 
    368     assert(so->fill <= so->mask);  /* at least one empty slot */
    369     n_used = so->used;
    370     Py_INCREF(key);
    371     if (set_insert_key(so, key, hash) == -1) {
    372         Py_DECREF(key);
    373         return -1;
    374     }
    375     if (!(so->used > n_used && so->fill*3 >= (so->mask+1)*2))
    376         return 0;
    377     return set_table_resize(so, so->used>50000 ? so->used*2 : so->used*4);
    378 }
    379 
    380 static int
    381 set_add_key(register PySetObject *so, PyObject *key)
    382 {
    383     register long hash;
    384     register Py_ssize_t n_used;
    385 
    386     if (!PyString_CheckExact(key) ||
    387         (hash = ((PyStringObject *) key)->ob_shash) == -1) {
    388         hash = PyObject_Hash(key);
    389         if (hash == -1)
    390             return -1;
    391     }
    392     assert(so->fill <= so->mask);  /* at least one empty slot */
    393     n_used = so->used;
    394     Py_INCREF(key);
    395     if (set_insert_key(so, key, hash) == -1) {
    396         Py_DECREF(key);
    397         return -1;
    398     }
    399     if (!(so->used > n_used && so->fill*3 >= (so->mask+1)*2))
    400         return 0;
    401     return set_table_resize(so, so->used>50000 ? so->used*2 : so->used*4);
    402 }
    403 
    404 #define DISCARD_NOTFOUND 0
    405 #define DISCARD_FOUND 1
    406 
    407 static int
    408 set_discard_entry(PySetObject *so, setentry *oldentry)
    409 {       register setentry *entry;
    410     PyObject *old_key;
    411 
    412     entry = (so->lookup)(so, oldentry->key, oldentry->hash);
    413     if (entry == NULL)
    414         return -1;
    415     if (entry->key == NULL  ||  entry->key == dummy)
    416         return DISCARD_NOTFOUND;
    417     old_key = entry->key;
    418     Py_INCREF(dummy);
    419     entry->key = dummy;
    420     so->used--;
    421     Py_DECREF(old_key);
    422     return DISCARD_FOUND;
    423 }
    424 
    425 static int
    426 set_discard_key(PySetObject *so, PyObject *key)
    427 {
    428     register long hash;
    429     register setentry *entry;
    430     PyObject *old_key;
    431 
    432     assert (PyAnySet_Check(so));
    433     if (!PyString_CheckExact(key) ||
    434         (hash = ((PyStringObject *) key)->ob_shash) == -1) {
    435         hash = PyObject_Hash(key);
    436         if (hash == -1)
    437             return -1;
    438     }
    439     entry = (so->lookup)(so, key, hash);
    440     if (entry == NULL)
    441         return -1;
    442     if (entry->key == NULL  ||  entry->key == dummy)
    443         return DISCARD_NOTFOUND;
    444     old_key = entry->key;
    445     Py_INCREF(dummy);
    446     entry->key = dummy;
    447     so->used--;
    448     Py_DECREF(old_key);
    449     return DISCARD_FOUND;
    450 }
    451 
    452 static int
    453 set_clear_internal(PySetObject *so)
    454 {
    455     setentry *entry, *table;
    456     int table_is_malloced;
    457     Py_ssize_t fill;
    458     setentry small_copy[PySet_MINSIZE];
    459 #ifdef Py_DEBUG
    460     Py_ssize_t i, n;
    461     assert (PyAnySet_Check(so));
    462 
    463     n = so->mask + 1;
    464     i = 0;
    465 #endif
    466 
    467     table = so->table;
    468     assert(table != NULL);
    469     table_is_malloced = table != so->smalltable;
    470 
    471     /* This is delicate.  During the process of clearing the set,
    472      * decrefs can cause the set to mutate.  To avoid fatal confusion
    473      * (voice of experience), we have to make the set empty before
    474      * clearing the slots, and never refer to anything via so->ref while
    475      * clearing.
    476      */
    477     fill = so->fill;
    478     if (table_is_malloced)
    479         EMPTY_TO_MINSIZE(so);
    480 
    481     else if (fill > 0) {
    482         /* It's a small table with something that needs to be cleared.
    483          * Afraid the only safe way is to copy the set entries into
    484          * another small table first.
    485          */
    486         memcpy(small_copy, table, sizeof(small_copy));
    487         table = small_copy;
    488         EMPTY_TO_MINSIZE(so);
    489     }
    490     /* else it's a small table that's already empty */
    491 
    492     /* Now we can finally clear things.  If C had refcounts, we could
    493      * assert that the refcount on table is 1 now, i.e. that this function
    494      * has unique access to it, so decref side-effects can't alter it.
    495      */
    496     for (entry = table; fill > 0; ++entry) {
    497 #ifdef Py_DEBUG
    498         assert(i < n);
    499         ++i;
    500 #endif
    501         if (entry->key) {
    502             --fill;
    503             Py_DECREF(entry->key);
    504         }
    505 #ifdef Py_DEBUG
    506         else
    507             assert(entry->key == NULL);
    508 #endif
    509     }
    510 
    511     if (table_is_malloced)
    512         PyMem_DEL(table);
    513     return 0;
    514 }
    515 
    516 /*
    517  * Iterate over a set table.  Use like so:
    518  *
    519  *     Py_ssize_t pos;
    520  *     setentry *entry;
    521  *     pos = 0;   # important!  pos should not otherwise be changed by you
    522  *     while (set_next(yourset, &pos, &entry)) {
    523  *              Refer to borrowed reference in entry->key.
    524  *     }
    525  *
    526  * CAUTION:  In general, it isn't safe to use set_next in a loop that
    527  * mutates the table.
    528  */
    529 static int
    530 set_next(PySetObject *so, Py_ssize_t *pos_ptr, setentry **entry_ptr)
    531 {
    532     Py_ssize_t i;
    533     Py_ssize_t mask;
    534     register setentry *table;
    535 
    536     assert (PyAnySet_Check(so));
    537     i = *pos_ptr;
    538     assert(i >= 0);
    539     table = so->table;
    540     mask = so->mask;
    541     while (i <= mask && (table[i].key == NULL || table[i].key == dummy))
    542         i++;
    543     *pos_ptr = i+1;
    544     if (i > mask)
    545         return 0;
    546     assert(table[i].key != NULL);
    547     *entry_ptr = &table[i];
    548     return 1;
    549 }
    550 
    551 static void
    552 set_dealloc(PySetObject *so)
    553 {
    554     register setentry *entry;
    555     Py_ssize_t fill = so->fill;
    556     PyObject_GC_UnTrack(so);
    557     Py_TRASHCAN_SAFE_BEGIN(so)
    558     if (so->weakreflist != NULL)
    559         PyObject_ClearWeakRefs((PyObject *) so);
    560 
    561     for (entry = so->table; fill > 0; entry++) {
    562         if (entry->key) {
    563             --fill;
    564             Py_DECREF(entry->key);
    565         }
    566     }
    567     if (so->table != so->smalltable)
    568         PyMem_DEL(so->table);
    569     if (numfree < PySet_MAXFREELIST && PyAnySet_CheckExact(so))
    570         free_list[numfree++] = so;
    571     else
    572         Py_TYPE(so)->tp_free(so);
    573     Py_TRASHCAN_SAFE_END(so)
    574 }
    575 
    576 static int
    577 set_tp_print(PySetObject *so, FILE *fp, int flags)
    578 {
    579     setentry *entry;
    580     Py_ssize_t pos=0;
    581     char *emit = "";            /* No separator emitted on first pass */
    582     char *separator = ", ";
    583     int status = Py_ReprEnter((PyObject*)so);
    584 
    585     if (status != 0) {
    586         if (status < 0)
    587             return status;
    588         Py_BEGIN_ALLOW_THREADS
    589         fprintf(fp, "%s(...)", so->ob_type->tp_name);
    590         Py_END_ALLOW_THREADS
    591         return 0;
    592     }
    593 
    594     Py_BEGIN_ALLOW_THREADS
    595     fprintf(fp, "%s([", so->ob_type->tp_name);
    596     Py_END_ALLOW_THREADS
    597     while (set_next(so, &pos, &entry)) {
    598         Py_BEGIN_ALLOW_THREADS
    599         fputs(emit, fp);
    600         Py_END_ALLOW_THREADS
    601         emit = separator;
    602         if (PyObject_Print(entry->key, fp, 0) != 0) {
    603             Py_ReprLeave((PyObject*)so);
    604             return -1;
    605         }
    606     }
    607     Py_BEGIN_ALLOW_THREADS
    608     fputs("])", fp);
    609     Py_END_ALLOW_THREADS
    610     Py_ReprLeave((PyObject*)so);
    611     return 0;
    612 }
    613 
    614 static PyObject *
    615 set_repr(PySetObject *so)
    616 {
    617     PyObject *keys, *result=NULL, *listrepr;
    618     int status = Py_ReprEnter((PyObject*)so);
    619 
    620     if (status != 0) {
    621         if (status < 0)
    622             return NULL;
    623         return PyString_FromFormat("%s(...)", so->ob_type->tp_name);
    624     }
    625 
    626     keys = PySequence_List((PyObject *)so);
    627     if (keys == NULL)
    628         goto done;
    629     listrepr = PyObject_Repr(keys);
    630     Py_DECREF(keys);
    631     if (listrepr == NULL)
    632         goto done;
    633 
    634     result = PyString_FromFormat("%s(%s)", so->ob_type->tp_name,
    635         PyString_AS_STRING(listrepr));
    636     Py_DECREF(listrepr);
    637 done:
    638     Py_ReprLeave((PyObject*)so);
    639     return result;
    640 }
    641 
    642 static Py_ssize_t
    643 set_len(PyObject *so)
    644 {
    645     return ((PySetObject *)so)->used;
    646 }
    647 
    648 static int
    649 set_merge(PySetObject *so, PyObject *otherset)
    650 {
    651     PySetObject *other;
    652     PyObject *key;
    653     long hash;
    654     register Py_ssize_t i;
    655     register setentry *entry;
    656 
    657     assert (PyAnySet_Check(so));
    658     assert (PyAnySet_Check(otherset));
    659 
    660     other = (PySetObject*)otherset;
    661     if (other == so || other->used == 0)
    662         /* a.update(a) or a.update({}); nothing to do */
    663         return 0;
    664     /* Do one big resize at the start, rather than
    665      * incrementally resizing as we insert new keys.  Expect
    666      * that there will be no (or few) overlapping keys.
    667      */
    668     if ((so->fill + other->used)*3 >= (so->mask+1)*2) {
    669        if (set_table_resize(so, (so->used + other->used)*2) != 0)
    670            return -1;
    671     }
    672     for (i = 0; i <= other->mask; i++) {
    673         entry = &other->table[i];
    674         key = entry->key;
    675         hash = entry->hash;
    676         if (key != NULL &&
    677             key != dummy) {
    678             Py_INCREF(key);
    679             if (set_insert_key(so, key, hash) == -1) {
    680                 Py_DECREF(key);
    681                 return -1;
    682             }
    683         }
    684     }
    685     return 0;
    686 }
    687 
    688 static int
    689 set_contains_key(PySetObject *so, PyObject *key)
    690 {
    691     long hash;
    692     setentry *entry;
    693 
    694     if (!PyString_CheckExact(key) ||
    695         (hash = ((PyStringObject *) key)->ob_shash) == -1) {
    696         hash = PyObject_Hash(key);
    697         if (hash == -1)
    698             return -1;
    699     }
    700     entry = (so->lookup)(so, key, hash);
    701     if (entry == NULL)
    702         return -1;
    703     key = entry->key;
    704     return key != NULL && key != dummy;
    705 }
    706 
    707 static int
    708 set_contains_entry(PySetObject *so, setentry *entry)
    709 {
    710     PyObject *key;
    711     setentry *lu_entry;
    712 
    713     lu_entry = (so->lookup)(so, entry->key, entry->hash);
    714     if (lu_entry == NULL)
    715         return -1;
    716     key = lu_entry->key;
    717     return key != NULL && key != dummy;
    718 }
    719 
    720 static PyObject *
    721 set_pop(PySetObject *so)
    722 {
    723     register Py_ssize_t i = 0;
    724     register setentry *entry;
    725     PyObject *key;
    726 
    727     assert (PyAnySet_Check(so));
    728     if (so->used == 0) {
    729         PyErr_SetString(PyExc_KeyError, "pop from an empty set");
    730         return NULL;
    731     }
    732 
    733     /* Set entry to "the first" unused or dummy set entry.  We abuse
    734      * the hash field of slot 0 to hold a search finger:
    735      * If slot 0 has a value, use slot 0.
    736      * Else slot 0 is being used to hold a search finger,
    737      * and we use its hash value as the first index to look.
    738      */
    739     entry = &so->table[0];
    740     if (entry->key == NULL || entry->key == dummy) {
    741         i = entry->hash;
    742         /* The hash field may be a real hash value, or it may be a
    743          * legit search finger, or it may be a once-legit search
    744          * finger that's out of bounds now because it wrapped around
    745          * or the table shrunk -- simply make sure it's in bounds now.
    746          */
    747         if (i > so->mask || i < 1)
    748             i = 1;              /* skip slot 0 */
    749         while ((entry = &so->table[i])->key == NULL || entry->key==dummy) {
    750             i++;
    751             if (i > so->mask)
    752                 i = 1;
    753         }
    754     }
    755     key = entry->key;
    756     Py_INCREF(dummy);
    757     entry->key = dummy;
    758     so->used--;
    759     so->table[0].hash = i + 1;  /* next place to start */
    760     return key;
    761 }
    762 
    763 PyDoc_STRVAR(pop_doc, "Remove and return an arbitrary set element.\n\
    764 Raises KeyError if the set is empty.");
    765 
    766 static int
    767 set_traverse(PySetObject *so, visitproc visit, void *arg)
    768 {
    769     Py_ssize_t pos = 0;
    770     setentry *entry;
    771 
    772     while (set_next(so, &pos, &entry))
    773         Py_VISIT(entry->key);
    774     return 0;
    775 }
    776 
    777 static long
    778 frozenset_hash(PyObject *self)
    779 {
    780     PySetObject *so = (PySetObject *)self;
    781     long h, hash = 1927868237L;
    782     setentry *entry;
    783     Py_ssize_t pos = 0;
    784 
    785     if (so->hash != -1)
    786         return so->hash;
    787 
    788     hash *= PySet_GET_SIZE(self) + 1;
    789     while (set_next(so, &pos, &entry)) {
    790         /* Work to increase the bit dispersion for closely spaced hash
    791            values.  The is important because some use cases have many
    792            combinations of a small number of elements with nearby
    793            hashes so that many distinct combinations collapse to only
    794            a handful of distinct hash values. */
    795         h = entry->hash;
    796         hash ^= (h ^ (h << 16) ^ 89869747L)  * 3644798167u;
    797     }
    798     hash = hash * 69069L + 907133923L;
    799     if (hash == -1)
    800         hash = 590923713L;
    801     so->hash = hash;
    802     return hash;
    803 }
    804 
    805 /***** Set iterator type ***********************************************/
    806 
    807 typedef struct {
    808     PyObject_HEAD
    809     PySetObject *si_set; /* Set to NULL when iterator is exhausted */
    810     Py_ssize_t si_used;
    811     Py_ssize_t si_pos;
    812     Py_ssize_t len;
    813 } setiterobject;
    814 
    815 static void
    816 setiter_dealloc(setiterobject *si)
    817 {
    818     Py_XDECREF(si->si_set);
    819     PyObject_GC_Del(si);
    820 }
    821 
    822 static int
    823 setiter_traverse(setiterobject *si, visitproc visit, void *arg)
    824 {
    825     Py_VISIT(si->si_set);
    826     return 0;
    827 }
    828 
    829 static PyObject *
    830 setiter_len(setiterobject *si)
    831 {
    832     Py_ssize_t len = 0;
    833     if (si->si_set != NULL && si->si_used == si->si_set->used)
    834         len = si->len;
    835     return PyInt_FromLong(len);
    836 }
    837 
    838 PyDoc_STRVAR(length_hint_doc, "Private method returning an estimate of len(list(it)).");
    839 
    840 static PyMethodDef setiter_methods[] = {
    841     {"__length_hint__", (PyCFunction)setiter_len, METH_NOARGS, length_hint_doc},
    842     {NULL,              NULL}           /* sentinel */
    843 };
    844 
    845 static PyObject *setiter_iternext(setiterobject *si)
    846 {
    847     PyObject *key;
    848     register Py_ssize_t i, mask;
    849     register setentry *entry;
    850     PySetObject *so = si->si_set;
    851 
    852     if (so == NULL)
    853         return NULL;
    854     assert (PyAnySet_Check(so));
    855 
    856     if (si->si_used != so->used) {
    857         PyErr_SetString(PyExc_RuntimeError,
    858                         "Set changed size during iteration");
    859         si->si_used = -1; /* Make this state sticky */
    860         return NULL;
    861     }
    862 
    863     i = si->si_pos;
    864     assert(i>=0);
    865     entry = so->table;
    866     mask = so->mask;
    867     while (i <= mask && (entry[i].key == NULL || entry[i].key == dummy))
    868         i++;
    869     si->si_pos = i+1;
    870     if (i > mask)
    871         goto fail;
    872     si->len--;
    873     key = entry[i].key;
    874     Py_INCREF(key);
    875     return key;
    876 
    877 fail:
    878     Py_DECREF(so);
    879     si->si_set = NULL;
    880     return NULL;
    881 }
    882 
    883 static PyTypeObject PySetIter_Type = {
    884     PyVarObject_HEAD_INIT(&PyType_Type, 0)
    885     "setiterator",                              /* tp_name */
    886     sizeof(setiterobject),                      /* tp_basicsize */
    887     0,                                          /* tp_itemsize */
    888     /* methods */
    889     (destructor)setiter_dealloc,                /* tp_dealloc */
    890     0,                                          /* tp_print */
    891     0,                                          /* tp_getattr */
    892     0,                                          /* tp_setattr */
    893     0,                                          /* tp_compare */
    894     0,                                          /* tp_repr */
    895     0,                                          /* tp_as_number */
    896     0,                                          /* tp_as_sequence */
    897     0,                                          /* tp_as_mapping */
    898     0,                                          /* tp_hash */
    899     0,                                          /* tp_call */
    900     0,                                          /* tp_str */
    901     PyObject_GenericGetAttr,                    /* tp_getattro */
    902     0,                                          /* tp_setattro */
    903     0,                                          /* tp_as_buffer */
    904     Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,/* tp_flags */
    905     0,                                          /* tp_doc */
    906     (traverseproc)setiter_traverse,             /* tp_traverse */
    907     0,                                          /* tp_clear */
    908     0,                                          /* tp_richcompare */
    909     0,                                          /* tp_weaklistoffset */
    910     PyObject_SelfIter,                          /* tp_iter */
    911     (iternextfunc)setiter_iternext,             /* tp_iternext */
    912     setiter_methods,                            /* tp_methods */
    913     0,
    914 };
    915 
    916 static PyObject *
    917 set_iter(PySetObject *so)
    918 {
    919     setiterobject *si = PyObject_GC_New(setiterobject, &PySetIter_Type);
    920     if (si == NULL)
    921         return NULL;
    922     Py_INCREF(so);
    923     si->si_set = so;
    924     si->si_used = so->used;
    925     si->si_pos = 0;
    926     si->len = so->used;
    927     _PyObject_GC_TRACK(si);
    928     return (PyObject *)si;
    929 }
    930 
    931 static int
    932 set_update_internal(PySetObject *so, PyObject *other)
    933 {
    934     PyObject *key, *it;
    935 
    936     if (PyAnySet_Check(other))
    937         return set_merge(so, other);
    938 
    939     if (PyDict_CheckExact(other)) {
    940         PyObject *value;
    941         Py_ssize_t pos = 0;
    942         long hash;
    943         Py_ssize_t dictsize = PyDict_Size(other);
    944 
    945         /* Do one big resize at the start, rather than
    946         * incrementally resizing as we insert new keys.  Expect
    947         * that there will be no (or few) overlapping keys.
    948         */
    949         if (dictsize == -1)
    950             return -1;
    951         if ((so->fill + dictsize)*3 >= (so->mask+1)*2) {
    952             if (set_table_resize(so, (so->used + dictsize)*2) != 0)
    953                 return -1;
    954         }
    955         while (_PyDict_Next(other, &pos, &key, &value, &hash)) {
    956             setentry an_entry;
    957 
    958             an_entry.hash = hash;
    959             an_entry.key = key;
    960             if (set_add_entry(so, &an_entry) == -1)
    961                 return -1;
    962         }
    963         return 0;
    964     }
    965 
    966     it = PyObject_GetIter(other);
    967     if (it == NULL)
    968         return -1;
    969 
    970     while ((key = PyIter_Next(it)) != NULL) {
    971         if (set_add_key(so, key) == -1) {
    972             Py_DECREF(it);
    973             Py_DECREF(key);
    974             return -1;
    975         }
    976         Py_DECREF(key);
    977     }
    978     Py_DECREF(it);
    979     if (PyErr_Occurred())
    980         return -1;
    981     return 0;
    982 }
    983 
    984 static PyObject *
    985 set_update(PySetObject *so, PyObject *args)
    986 {
    987     Py_ssize_t i;
    988 
    989     for (i=0 ; i<PyTuple_GET_SIZE(args) ; i++) {
    990         PyObject *other = PyTuple_GET_ITEM(args, i);
    991         if (set_update_internal(so, other) == -1)
    992             return NULL;
    993     }
    994     Py_RETURN_NONE;
    995 }
    996 
    997 PyDoc_STRVAR(update_doc,
    998 "Update a set with the union of itself and others.");
    999 
   1000 static PyObject *
   1001 make_new_set(PyTypeObject *type, PyObject *iterable)
   1002 {
   1003     register PySetObject *so = NULL;
   1004 
   1005     if (dummy == NULL) { /* Auto-initialize dummy */
   1006         dummy = PyString_FromString("<dummy key>");
   1007         if (dummy == NULL)
   1008             return NULL;
   1009     }
   1010 
   1011     /* create PySetObject structure */
   1012     if (numfree &&
   1013         (type == &PySet_Type  ||  type == &PyFrozenSet_Type)) {
   1014         so = free_list[--numfree];
   1015         assert (so != NULL && PyAnySet_CheckExact(so));
   1016         Py_TYPE(so) = type;
   1017         _Py_NewReference((PyObject *)so);
   1018         EMPTY_TO_MINSIZE(so);
   1019         PyObject_GC_Track(so);
   1020     } else {
   1021         so = (PySetObject *)type->tp_alloc(type, 0);
   1022         if (so == NULL)
   1023             return NULL;
   1024         /* tp_alloc has already zeroed the structure */
   1025         assert(so->table == NULL && so->fill == 0 && so->used == 0);
   1026         INIT_NONZERO_SET_SLOTS(so);
   1027     }
   1028 
   1029     so->lookup = set_lookkey_string;
   1030     so->weakreflist = NULL;
   1031 
   1032     if (iterable != NULL) {
   1033         if (set_update_internal(so, iterable) == -1) {
   1034             Py_DECREF(so);
   1035             return NULL;
   1036         }
   1037     }
   1038 
   1039     return (PyObject *)so;
   1040 }
   1041 
   1042 /* The empty frozenset is a singleton */
   1043 static PyObject *emptyfrozenset = NULL;
   1044 
   1045 static PyObject *
   1046 frozenset_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
   1047 {
   1048     PyObject *iterable = NULL, *result;
   1049 
   1050     if (type == &PyFrozenSet_Type && !_PyArg_NoKeywords("frozenset()", kwds))
   1051         return NULL;
   1052 
   1053     if (!PyArg_UnpackTuple(args, type->tp_name, 0, 1, &iterable))
   1054         return NULL;
   1055 
   1056     if (type != &PyFrozenSet_Type)
   1057         return make_new_set(type, iterable);
   1058 
   1059     if (iterable != NULL) {
   1060         /* frozenset(f) is idempotent */
   1061         if (PyFrozenSet_CheckExact(iterable)) {
   1062             Py_INCREF(iterable);
   1063             return iterable;
   1064         }
   1065         result = make_new_set(type, iterable);
   1066         if (result == NULL || PySet_GET_SIZE(result))
   1067             return result;
   1068         Py_DECREF(result);
   1069     }
   1070     /* The empty frozenset is a singleton */
   1071     if (emptyfrozenset == NULL)
   1072         emptyfrozenset = make_new_set(type, NULL);
   1073     Py_XINCREF(emptyfrozenset);
   1074     return emptyfrozenset;
   1075 }
   1076 
   1077 void
   1078 PySet_Fini(void)
   1079 {
   1080     PySetObject *so;
   1081 
   1082     while (numfree) {
   1083         numfree--;
   1084         so = free_list[numfree];
   1085         PyObject_GC_Del(so);
   1086     }
   1087     Py_CLEAR(dummy);
   1088     Py_CLEAR(emptyfrozenset);
   1089 }
   1090 
   1091 static PyObject *
   1092 set_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
   1093 {
   1094     if (type == &PySet_Type && !_PyArg_NoKeywords("set()", kwds))
   1095         return NULL;
   1096 
   1097     return make_new_set(type, NULL);
   1098 }
   1099 
   1100 /* set_swap_bodies() switches the contents of any two sets by moving their
   1101    internal data pointers and, if needed, copying the internal smalltables.
   1102    Semantically equivalent to:
   1103 
   1104      t=set(a); a.clear(); a.update(b); b.clear(); b.update(t); del t
   1105 
   1106    The function always succeeds and it leaves both objects in a stable state.
   1107    Useful for creating temporary frozensets from sets for membership testing
   1108    in __contains__(), discard(), and remove().  Also useful for operations
   1109    that update in-place (by allowing an intermediate result to be swapped
   1110    into one of the original inputs).
   1111 */
   1112 
   1113 static void
   1114 set_swap_bodies(PySetObject *a, PySetObject *b)
   1115 {
   1116     Py_ssize_t t;
   1117     setentry *u;
   1118     setentry *(*f)(PySetObject *so, PyObject *key, long hash);
   1119     setentry tab[PySet_MINSIZE];
   1120     long h;
   1121 
   1122     t = a->fill;     a->fill   = b->fill;        b->fill  = t;
   1123     t = a->used;     a->used   = b->used;        b->used  = t;
   1124     t = a->mask;     a->mask   = b->mask;        b->mask  = t;
   1125 
   1126     u = a->table;
   1127     if (a->table == a->smalltable)
   1128         u = b->smalltable;
   1129     a->table  = b->table;
   1130     if (b->table == b->smalltable)
   1131         a->table = a->smalltable;
   1132     b->table = u;
   1133 
   1134     f = a->lookup;   a->lookup = b->lookup;      b->lookup = f;
   1135 
   1136     if (a->table == a->smalltable || b->table == b->smalltable) {
   1137         memcpy(tab, a->smalltable, sizeof(tab));
   1138         memcpy(a->smalltable, b->smalltable, sizeof(tab));
   1139         memcpy(b->smalltable, tab, sizeof(tab));
   1140     }
   1141 
   1142     if (PyType_IsSubtype(Py_TYPE(a), &PyFrozenSet_Type)  &&
   1143         PyType_IsSubtype(Py_TYPE(b), &PyFrozenSet_Type)) {
   1144         h = a->hash;     a->hash = b->hash;  b->hash = h;
   1145     } else {
   1146         a->hash = -1;
   1147         b->hash = -1;
   1148     }
   1149 }
   1150 
   1151 static PyObject *
   1152 set_copy(PySetObject *so)
   1153 {
   1154     return make_new_set(Py_TYPE(so), (PyObject *)so);
   1155 }
   1156 
   1157 static PyObject *
   1158 frozenset_copy(PySetObject *so)
   1159 {
   1160     if (PyFrozenSet_CheckExact(so)) {
   1161         Py_INCREF(so);
   1162         return (PyObject *)so;
   1163     }
   1164     return set_copy(so);
   1165 }
   1166 
   1167 PyDoc_STRVAR(copy_doc, "Return a shallow copy of a set.");
   1168 
   1169 static PyObject *
   1170 set_clear(PySetObject *so)
   1171 {
   1172     set_clear_internal(so);
   1173     Py_RETURN_NONE;
   1174 }
   1175 
   1176 PyDoc_STRVAR(clear_doc, "Remove all elements from this set.");
   1177 
   1178 static PyObject *
   1179 set_union(PySetObject *so, PyObject *args)
   1180 {
   1181     PySetObject *result;
   1182     PyObject *other;
   1183     Py_ssize_t i;
   1184 
   1185     result = (PySetObject *)set_copy(so);
   1186     if (result == NULL)
   1187         return NULL;
   1188 
   1189     for (i=0 ; i<PyTuple_GET_SIZE(args) ; i++) {
   1190         other = PyTuple_GET_ITEM(args, i);
   1191         if ((PyObject *)so == other)
   1192             continue;
   1193         if (set_update_internal(result, other) == -1) {
   1194             Py_DECREF(result);
   1195             return NULL;
   1196         }
   1197     }
   1198     return (PyObject *)result;
   1199 }
   1200 
   1201 PyDoc_STRVAR(union_doc,
   1202  "Return the union of sets as a new set.\n\
   1203 \n\
   1204 (i.e. all elements that are in either set.)");
   1205 
   1206 static PyObject *
   1207 set_or(PySetObject *so, PyObject *other)
   1208 {
   1209     PySetObject *result;
   1210 
   1211     if (!PyAnySet_Check(so) || !PyAnySet_Check(other)) {
   1212         Py_INCREF(Py_NotImplemented);
   1213         return Py_NotImplemented;
   1214     }
   1215 
   1216     result = (PySetObject *)set_copy(so);
   1217     if (result == NULL)
   1218         return NULL;
   1219     if ((PyObject *)so == other)
   1220         return (PyObject *)result;
   1221     if (set_update_internal(result, other) == -1) {
   1222         Py_DECREF(result);
   1223         return NULL;
   1224     }
   1225     return (PyObject *)result;
   1226 }
   1227 
   1228 static PyObject *
   1229 set_ior(PySetObject *so, PyObject *other)
   1230 {
   1231     if (!PyAnySet_Check(other)) {
   1232         Py_INCREF(Py_NotImplemented);
   1233         return Py_NotImplemented;
   1234     }
   1235     if (set_update_internal(so, other) == -1)
   1236         return NULL;
   1237     Py_INCREF(so);
   1238     return (PyObject *)so;
   1239 }
   1240 
   1241 static PyObject *
   1242 set_intersection(PySetObject *so, PyObject *other)
   1243 {
   1244     PySetObject *result;
   1245     PyObject *key, *it, *tmp;
   1246 
   1247     if ((PyObject *)so == other)
   1248         return set_copy(so);
   1249 
   1250     result = (PySetObject *)make_new_set(Py_TYPE(so), NULL);
   1251     if (result == NULL)
   1252         return NULL;
   1253 
   1254     if (PyAnySet_Check(other)) {
   1255         Py_ssize_t pos = 0;
   1256         setentry *entry;
   1257 
   1258         if (PySet_GET_SIZE(other) > PySet_GET_SIZE(so)) {
   1259             tmp = (PyObject *)so;
   1260             so = (PySetObject *)other;
   1261             other = tmp;
   1262         }
   1263 
   1264         while (set_next((PySetObject *)other, &pos, &entry)) {
   1265             int rv = set_contains_entry(so, entry);
   1266             if (rv == -1) {
   1267                 Py_DECREF(result);
   1268                 return NULL;
   1269             }
   1270             if (rv) {
   1271                 if (set_add_entry(result, entry) == -1) {
   1272                     Py_DECREF(result);
   1273                     return NULL;
   1274                 }
   1275             }
   1276         }
   1277         return (PyObject *)result;
   1278     }
   1279 
   1280     it = PyObject_GetIter(other);
   1281     if (it == NULL) {
   1282         Py_DECREF(result);
   1283         return NULL;
   1284     }
   1285 
   1286     while ((key = PyIter_Next(it)) != NULL) {
   1287         int rv;
   1288         setentry entry;
   1289         long hash = PyObject_Hash(key);
   1290 
   1291         if (hash == -1) {
   1292             Py_DECREF(it);
   1293             Py_DECREF(result);
   1294             Py_DECREF(key);
   1295             return NULL;
   1296         }
   1297         entry.hash = hash;
   1298         entry.key = key;
   1299         rv = set_contains_entry(so, &entry);
   1300         if (rv == -1) {
   1301             Py_DECREF(it);
   1302             Py_DECREF(result);
   1303             Py_DECREF(key);
   1304             return NULL;
   1305         }
   1306         if (rv) {
   1307             if (set_add_entry(result, &entry) == -1) {
   1308                 Py_DECREF(it);
   1309                 Py_DECREF(result);
   1310                 Py_DECREF(key);
   1311                 return NULL;
   1312             }
   1313         }
   1314         Py_DECREF(key);
   1315     }
   1316     Py_DECREF(it);
   1317     if (PyErr_Occurred()) {
   1318         Py_DECREF(result);
   1319         return NULL;
   1320     }
   1321     return (PyObject *)result;
   1322 }
   1323 
   1324 static PyObject *
   1325 set_intersection_multi(PySetObject *so, PyObject *args)
   1326 {
   1327     Py_ssize_t i;
   1328     PyObject *result = (PyObject *)so;
   1329 
   1330     if (PyTuple_GET_SIZE(args) == 0)
   1331         return set_copy(so);
   1332 
   1333     Py_INCREF(so);
   1334     for (i=0 ; i<PyTuple_GET_SIZE(args) ; i++) {
   1335         PyObject *other = PyTuple_GET_ITEM(args, i);
   1336         PyObject *newresult = set_intersection((PySetObject *)result, other);
   1337         if (newresult == NULL) {
   1338             Py_DECREF(result);
   1339             return NULL;
   1340         }
   1341         Py_DECREF(result);
   1342         result = newresult;
   1343     }
   1344     return result;
   1345 }
   1346 
   1347 PyDoc_STRVAR(intersection_doc,
   1348 "Return the intersection of two or more sets as a new set.\n\
   1349 \n\
   1350 (i.e. elements that are common to all of the sets.)");
   1351 
   1352 static PyObject *
   1353 set_intersection_update(PySetObject *so, PyObject *other)
   1354 {
   1355     PyObject *tmp;
   1356 
   1357     tmp = set_intersection(so, other);
   1358     if (tmp == NULL)
   1359         return NULL;
   1360     set_swap_bodies(so, (PySetObject *)tmp);
   1361     Py_DECREF(tmp);
   1362     Py_RETURN_NONE;
   1363 }
   1364 
   1365 static PyObject *
   1366 set_intersection_update_multi(PySetObject *so, PyObject *args)
   1367 {
   1368     PyObject *tmp;
   1369 
   1370     tmp = set_intersection_multi(so, args);
   1371     if (tmp == NULL)
   1372         return NULL;
   1373     set_swap_bodies(so, (PySetObject *)tmp);
   1374     Py_DECREF(tmp);
   1375     Py_RETURN_NONE;
   1376 }
   1377 
   1378 PyDoc_STRVAR(intersection_update_doc,
   1379 "Update a set with the intersection of itself and another.");
   1380 
   1381 static PyObject *
   1382 set_and(PySetObject *so, PyObject *other)
   1383 {
   1384     if (!PyAnySet_Check(so) || !PyAnySet_Check(other)) {
   1385         Py_INCREF(Py_NotImplemented);
   1386         return Py_NotImplemented;
   1387     }
   1388     return set_intersection(so, other);
   1389 }
   1390 
   1391 static PyObject *
   1392 set_iand(PySetObject *so, PyObject *other)
   1393 {
   1394     PyObject *result;
   1395 
   1396     if (!PyAnySet_Check(other)) {
   1397         Py_INCREF(Py_NotImplemented);
   1398         return Py_NotImplemented;
   1399     }
   1400     result = set_intersection_update(so, other);
   1401     if (result == NULL)
   1402         return NULL;
   1403     Py_DECREF(result);
   1404     Py_INCREF(so);
   1405     return (PyObject *)so;
   1406 }
   1407 
   1408 static PyObject *
   1409 set_isdisjoint(PySetObject *so, PyObject *other)
   1410 {
   1411     PyObject *key, *it, *tmp;
   1412 
   1413     if ((PyObject *)so == other) {
   1414         if (PySet_GET_SIZE(so) == 0)
   1415             Py_RETURN_TRUE;
   1416         else
   1417             Py_RETURN_FALSE;
   1418     }
   1419 
   1420     if (PyAnySet_CheckExact(other)) {
   1421         Py_ssize_t pos = 0;
   1422         setentry *entry;
   1423 
   1424         if (PySet_GET_SIZE(other) > PySet_GET_SIZE(so)) {
   1425             tmp = (PyObject *)so;
   1426             so = (PySetObject *)other;
   1427             other = tmp;
   1428         }
   1429         while (set_next((PySetObject *)other, &pos, &entry)) {
   1430             int rv = set_contains_entry(so, entry);
   1431             if (rv == -1)
   1432                 return NULL;
   1433             if (rv)
   1434                 Py_RETURN_FALSE;
   1435         }
   1436         Py_RETURN_TRUE;
   1437     }
   1438 
   1439     it = PyObject_GetIter(other);
   1440     if (it == NULL)
   1441         return NULL;
   1442 
   1443     while ((key = PyIter_Next(it)) != NULL) {
   1444         int rv;
   1445         setentry entry;
   1446         long hash = PyObject_Hash(key);
   1447 
   1448         if (hash == -1) {
   1449             Py_DECREF(key);
   1450             Py_DECREF(it);
   1451             return NULL;
   1452         }
   1453         entry.hash = hash;
   1454         entry.key = key;
   1455         rv = set_contains_entry(so, &entry);
   1456         Py_DECREF(key);
   1457         if (rv == -1) {
   1458             Py_DECREF(it);
   1459             return NULL;
   1460         }
   1461         if (rv) {
   1462             Py_DECREF(it);
   1463             Py_RETURN_FALSE;
   1464         }
   1465     }
   1466     Py_DECREF(it);
   1467     if (PyErr_Occurred())
   1468         return NULL;
   1469     Py_RETURN_TRUE;
   1470 }
   1471 
   1472 PyDoc_STRVAR(isdisjoint_doc,
   1473 "Return True if two sets have a null intersection.");
   1474 
   1475 static int
   1476 set_difference_update_internal(PySetObject *so, PyObject *other)
   1477 {
   1478     if ((PyObject *)so == other)
   1479         return set_clear_internal(so);
   1480 
   1481     if (PyAnySet_Check(other)) {
   1482         setentry *entry;
   1483         Py_ssize_t pos = 0;
   1484 
   1485         while (set_next((PySetObject *)other, &pos, &entry))
   1486             if (set_discard_entry(so, entry) == -1)
   1487                 return -1;
   1488     } else {
   1489         PyObject *key, *it;
   1490         it = PyObject_GetIter(other);
   1491         if (it == NULL)
   1492             return -1;
   1493 
   1494         while ((key = PyIter_Next(it)) != NULL) {
   1495             if (set_discard_key(so, key) == -1) {
   1496                 Py_DECREF(it);
   1497                 Py_DECREF(key);
   1498                 return -1;
   1499             }
   1500             Py_DECREF(key);
   1501         }
   1502         Py_DECREF(it);
   1503         if (PyErr_Occurred())
   1504             return -1;
   1505     }
   1506     /* If more than 1/5 are dummies, then resize them away. */
   1507     if ((so->fill - so->used) * 5 < so->mask)
   1508         return 0;
   1509     return set_table_resize(so, so->used>50000 ? so->used*2 : so->used*4);
   1510 }
   1511 
   1512 static PyObject *
   1513 set_difference_update(PySetObject *so, PyObject *args)
   1514 {
   1515     Py_ssize_t i;
   1516 
   1517     for (i=0 ; i<PyTuple_GET_SIZE(args) ; i++) {
   1518         PyObject *other = PyTuple_GET_ITEM(args, i);
   1519         if (set_difference_update_internal(so, other) == -1)
   1520             return NULL;
   1521     }
   1522     Py_RETURN_NONE;
   1523 }
   1524 
   1525 PyDoc_STRVAR(difference_update_doc,
   1526 "Remove all elements of another set from this set.");
   1527 
   1528 static PyObject *
   1529 set_difference(PySetObject *so, PyObject *other)
   1530 {
   1531     PyObject *result;
   1532     setentry *entry;
   1533     Py_ssize_t pos = 0;
   1534 
   1535     if (!PyAnySet_Check(other)  && !PyDict_CheckExact(other)) {
   1536         result = set_copy(so);
   1537         if (result == NULL)
   1538             return NULL;
   1539         if (set_difference_update_internal((PySetObject *)result, other) != -1)
   1540             return result;
   1541         Py_DECREF(result);
   1542         return NULL;
   1543     }
   1544 
   1545     result = make_new_set(Py_TYPE(so), NULL);
   1546     if (result == NULL)
   1547         return NULL;
   1548 
   1549     if (PyDict_CheckExact(other)) {
   1550         while (set_next(so, &pos, &entry)) {
   1551             setentry entrycopy;
   1552             entrycopy.hash = entry->hash;
   1553             entrycopy.key = entry->key;
   1554             if (!_PyDict_Contains(other, entry->key, entry->hash)) {
   1555                 if (set_add_entry((PySetObject *)result, &entrycopy) == -1) {
   1556                     Py_DECREF(result);
   1557                     return NULL;
   1558                 }
   1559             }
   1560         }
   1561         return result;
   1562     }
   1563 
   1564     while (set_next(so, &pos, &entry)) {
   1565         int rv = set_contains_entry((PySetObject *)other, entry);
   1566         if (rv == -1) {
   1567             Py_DECREF(result);
   1568             return NULL;
   1569         }
   1570         if (!rv) {
   1571             if (set_add_entry((PySetObject *)result, entry) == -1) {
   1572                 Py_DECREF(result);
   1573                 return NULL;
   1574             }
   1575         }
   1576     }
   1577     return result;
   1578 }
   1579 
   1580 static PyObject *
   1581 set_difference_multi(PySetObject *so, PyObject *args)
   1582 {
   1583     Py_ssize_t i;
   1584     PyObject *result, *other;
   1585 
   1586     if (PyTuple_GET_SIZE(args) == 0)
   1587         return set_copy(so);
   1588 
   1589     other = PyTuple_GET_ITEM(args, 0);
   1590     result = set_difference(so, other);
   1591     if (result == NULL)
   1592         return NULL;
   1593 
   1594     for (i=1 ; i<PyTuple_GET_SIZE(args) ; i++) {
   1595         other = PyTuple_GET_ITEM(args, i);
   1596         if (set_difference_update_internal((PySetObject *)result, other) == -1) {
   1597             Py_DECREF(result);
   1598             return NULL;
   1599         }
   1600     }
   1601     return result;
   1602 }
   1603 
   1604 PyDoc_STRVAR(difference_doc,
   1605 "Return the difference of two or more sets as a new set.\n\
   1606 \n\
   1607 (i.e. all elements that are in this set but not the others.)");
   1608 static PyObject *
   1609 set_sub(PySetObject *so, PyObject *other)
   1610 {
   1611     if (!PyAnySet_Check(so) || !PyAnySet_Check(other)) {
   1612         Py_INCREF(Py_NotImplemented);
   1613         return Py_NotImplemented;
   1614     }
   1615     return set_difference(so, other);
   1616 }
   1617 
   1618 static PyObject *
   1619 set_isub(PySetObject *so, PyObject *other)
   1620 {
   1621     if (!PyAnySet_Check(other)) {
   1622         Py_INCREF(Py_NotImplemented);
   1623         return Py_NotImplemented;
   1624     }
   1625     if (set_difference_update_internal(so, other) == -1)
   1626         return NULL;
   1627     Py_INCREF(so);
   1628     return (PyObject *)so;
   1629 }
   1630 
   1631 static PyObject *
   1632 set_symmetric_difference_update(PySetObject *so, PyObject *other)
   1633 {
   1634     PySetObject *otherset;
   1635     PyObject *key;
   1636     Py_ssize_t pos = 0;
   1637     setentry *entry;
   1638 
   1639     if ((PyObject *)so == other)
   1640         return set_clear(so);
   1641 
   1642     if (PyDict_CheckExact(other)) {
   1643         PyObject *value;
   1644         int rv;
   1645         long hash;
   1646         while (_PyDict_Next(other, &pos, &key, &value, &hash)) {
   1647             setentry an_entry;
   1648 
   1649             Py_INCREF(key);
   1650             an_entry.hash = hash;
   1651             an_entry.key = key;
   1652 
   1653             rv = set_discard_entry(so, &an_entry);
   1654             if (rv == -1) {
   1655                 Py_DECREF(key);
   1656                 return NULL;
   1657             }
   1658             if (rv == DISCARD_NOTFOUND) {
   1659                 if (set_add_entry(so, &an_entry) == -1) {
   1660                     Py_DECREF(key);
   1661                     return NULL;
   1662                 }
   1663             }
   1664             Py_DECREF(key);
   1665         }
   1666         Py_RETURN_NONE;
   1667     }
   1668 
   1669     if (PyAnySet_Check(other)) {
   1670         Py_INCREF(other);
   1671         otherset = (PySetObject *)other;
   1672     } else {
   1673         otherset = (PySetObject *)make_new_set(Py_TYPE(so), other);
   1674         if (otherset == NULL)
   1675             return NULL;
   1676     }
   1677 
   1678     while (set_next(otherset, &pos, &entry)) {
   1679         int rv = set_discard_entry(so, entry);
   1680         if (rv == -1) {
   1681             Py_DECREF(otherset);
   1682             return NULL;
   1683         }
   1684         if (rv == DISCARD_NOTFOUND) {
   1685             if (set_add_entry(so, entry) == -1) {
   1686                 Py_DECREF(otherset);
   1687                 return NULL;
   1688             }
   1689         }
   1690     }
   1691     Py_DECREF(otherset);
   1692     Py_RETURN_NONE;
   1693 }
   1694 
   1695 PyDoc_STRVAR(symmetric_difference_update_doc,
   1696 "Update a set with the symmetric difference of itself and another.");
   1697 
   1698 static PyObject *
   1699 set_symmetric_difference(PySetObject *so, PyObject *other)
   1700 {
   1701     PyObject *rv;
   1702     PySetObject *otherset;
   1703 
   1704     otherset = (PySetObject *)make_new_set(Py_TYPE(so), other);
   1705     if (otherset == NULL)
   1706         return NULL;
   1707     rv = set_symmetric_difference_update(otherset, (PyObject *)so);
   1708     if (rv == NULL)
   1709         return NULL;
   1710     Py_DECREF(rv);
   1711     return (PyObject *)otherset;
   1712 }
   1713 
   1714 PyDoc_STRVAR(symmetric_difference_doc,
   1715 "Return the symmetric difference of two sets as a new set.\n\
   1716 \n\
   1717 (i.e. all elements that are in exactly one of the sets.)");
   1718 
   1719 static PyObject *
   1720 set_xor(PySetObject *so, PyObject *other)
   1721 {
   1722     if (!PyAnySet_Check(so) || !PyAnySet_Check(other)) {
   1723         Py_INCREF(Py_NotImplemented);
   1724         return Py_NotImplemented;
   1725     }
   1726     return set_symmetric_difference(so, other);
   1727 }
   1728 
   1729 static PyObject *
   1730 set_ixor(PySetObject *so, PyObject *other)
   1731 {
   1732     PyObject *result;
   1733 
   1734     if (!PyAnySet_Check(other)) {
   1735         Py_INCREF(Py_NotImplemented);
   1736         return Py_NotImplemented;
   1737     }
   1738     result = set_symmetric_difference_update(so, other);
   1739     if (result == NULL)
   1740         return NULL;
   1741     Py_DECREF(result);
   1742     Py_INCREF(so);
   1743     return (PyObject *)so;
   1744 }
   1745 
   1746 static PyObject *
   1747 set_issubset(PySetObject *so, PyObject *other)
   1748 {
   1749     setentry *entry;
   1750     Py_ssize_t pos = 0;
   1751 
   1752     if (!PyAnySet_Check(other)) {
   1753         PyObject *tmp, *result;
   1754         tmp = make_new_set(&PySet_Type, other);
   1755         if (tmp == NULL)
   1756             return NULL;
   1757         result = set_issubset(so, tmp);
   1758         Py_DECREF(tmp);
   1759         return result;
   1760     }
   1761     if (PySet_GET_SIZE(so) > PySet_GET_SIZE(other))
   1762         Py_RETURN_FALSE;
   1763 
   1764     while (set_next(so, &pos, &entry)) {
   1765         int rv = set_contains_entry((PySetObject *)other, entry);
   1766         if (rv == -1)
   1767             return NULL;
   1768         if (!rv)
   1769             Py_RETURN_FALSE;
   1770     }
   1771     Py_RETURN_TRUE;
   1772 }
   1773 
   1774 PyDoc_STRVAR(issubset_doc, "Report whether another set contains this set.");
   1775 
   1776 static PyObject *
   1777 set_issuperset(PySetObject *so, PyObject *other)
   1778 {
   1779     PyObject *tmp, *result;
   1780 
   1781     if (!PyAnySet_Check(other)) {
   1782         tmp = make_new_set(&PySet_Type, other);
   1783         if (tmp == NULL)
   1784             return NULL;
   1785         result = set_issuperset(so, tmp);
   1786         Py_DECREF(tmp);
   1787         return result;
   1788     }
   1789     return set_issubset((PySetObject *)other, (PyObject *)so);
   1790 }
   1791 
   1792 PyDoc_STRVAR(issuperset_doc, "Report whether this set contains another set.");
   1793 
   1794 static PyObject *
   1795 set_richcompare(PySetObject *v, PyObject *w, int op)
   1796 {
   1797     PyObject *r1, *r2;
   1798 
   1799     if(!PyAnySet_Check(w)) {
   1800         if (op == Py_EQ)
   1801             Py_RETURN_FALSE;
   1802         if (op == Py_NE)
   1803             Py_RETURN_TRUE;
   1804         PyErr_SetString(PyExc_TypeError, "can only compare to a set");
   1805         return NULL;
   1806     }
   1807     switch (op) {
   1808     case Py_EQ:
   1809         if (PySet_GET_SIZE(v) != PySet_GET_SIZE(w))
   1810             Py_RETURN_FALSE;
   1811         if (v->hash != -1  &&
   1812             ((PySetObject *)w)->hash != -1 &&
   1813             v->hash != ((PySetObject *)w)->hash)
   1814             Py_RETURN_FALSE;
   1815         return set_issubset(v, w);
   1816     case Py_NE:
   1817         r1 = set_richcompare(v, w, Py_EQ);
   1818         if (r1 == NULL)
   1819             return NULL;
   1820         r2 = PyBool_FromLong(PyObject_Not(r1));
   1821         Py_DECREF(r1);
   1822         return r2;
   1823     case Py_LE:
   1824         return set_issubset(v, w);
   1825     case Py_GE:
   1826         return set_issuperset(v, w);
   1827     case Py_LT:
   1828         if (PySet_GET_SIZE(v) >= PySet_GET_SIZE(w))
   1829             Py_RETURN_FALSE;
   1830         return set_issubset(v, w);
   1831     case Py_GT:
   1832         if (PySet_GET_SIZE(v) <= PySet_GET_SIZE(w))
   1833             Py_RETURN_FALSE;
   1834         return set_issuperset(v, w);
   1835     }
   1836     Py_INCREF(Py_NotImplemented);
   1837     return Py_NotImplemented;
   1838 }
   1839 
   1840 static int
   1841 set_nocmp(PyObject *self, PyObject *other)
   1842 {
   1843     PyErr_SetString(PyExc_TypeError, "cannot compare sets using cmp()");
   1844     return -1;
   1845 }
   1846 
   1847 static PyObject *
   1848 set_add(PySetObject *so, PyObject *key)
   1849 {
   1850     if (set_add_key(so, key) == -1)
   1851         return NULL;
   1852     Py_RETURN_NONE;
   1853 }
   1854 
   1855 PyDoc_STRVAR(add_doc,
   1856 "Add an element to a set.\n\
   1857 \n\
   1858 This has no effect if the element is already present.");
   1859 
   1860 static int
   1861 set_contains(PySetObject *so, PyObject *key)
   1862 {
   1863     PyObject *tmpkey;
   1864     int rv;
   1865 
   1866     rv = set_contains_key(so, key);
   1867     if (rv == -1) {
   1868         if (!PySet_Check(key) || !PyErr_ExceptionMatches(PyExc_TypeError))
   1869             return -1;
   1870         PyErr_Clear();
   1871         tmpkey = make_new_set(&PyFrozenSet_Type, key);
   1872         if (tmpkey == NULL)
   1873             return -1;
   1874         rv = set_contains(so, tmpkey);
   1875         Py_DECREF(tmpkey);
   1876     }
   1877     return rv;
   1878 }
   1879 
   1880 static PyObject *
   1881 set_direct_contains(PySetObject *so, PyObject *key)
   1882 {
   1883     long result;
   1884 
   1885     result = set_contains(so, key);
   1886     if (result == -1)
   1887         return NULL;
   1888     return PyBool_FromLong(result);
   1889 }
   1890 
   1891 PyDoc_STRVAR(contains_doc, "x.__contains__(y) <==> y in x.");
   1892 
   1893 static PyObject *
   1894 set_remove(PySetObject *so, PyObject *key)
   1895 {
   1896     PyObject *tmpkey;
   1897     int rv;
   1898 
   1899     rv = set_discard_key(so, key);
   1900     if (rv == -1) {
   1901         if (!PySet_Check(key) || !PyErr_ExceptionMatches(PyExc_TypeError))
   1902             return NULL;
   1903         PyErr_Clear();
   1904         tmpkey = make_new_set(&PyFrozenSet_Type, key);
   1905         if (tmpkey == NULL)
   1906             return NULL;
   1907         rv = set_discard_key(so, tmpkey);
   1908         Py_DECREF(tmpkey);
   1909         if (rv == -1)
   1910             return NULL;
   1911     }
   1912 
   1913     if (rv == DISCARD_NOTFOUND) {
   1914         set_key_error(key);
   1915         return NULL;
   1916     }
   1917     Py_RETURN_NONE;
   1918 }
   1919 
   1920 PyDoc_STRVAR(remove_doc,
   1921 "Remove an element from a set; it must be a member.\n\
   1922 \n\
   1923 If the element is not a member, raise a KeyError.");
   1924 
   1925 static PyObject *
   1926 set_discard(PySetObject *so, PyObject *key)
   1927 {
   1928     PyObject *tmpkey, *result;
   1929     int rv;
   1930 
   1931     rv = set_discard_key(so, key);
   1932     if (rv == -1) {
   1933         if (!PySet_Check(key) || !PyErr_ExceptionMatches(PyExc_TypeError))
   1934             return NULL;
   1935         PyErr_Clear();
   1936         tmpkey = make_new_set(&PyFrozenSet_Type, key);
   1937         if (tmpkey == NULL)
   1938             return NULL;
   1939         result = set_discard(so, tmpkey);
   1940         Py_DECREF(tmpkey);
   1941         return result;
   1942     }
   1943     Py_RETURN_NONE;
   1944 }
   1945 
   1946 PyDoc_STRVAR(discard_doc,
   1947 "Remove an element from a set if it is a member.\n\
   1948 \n\
   1949 If the element is not a member, do nothing.");
   1950 
   1951 static PyObject *
   1952 set_reduce(PySetObject *so)
   1953 {
   1954     PyObject *keys=NULL, *args=NULL, *result=NULL, *dict=NULL;
   1955 
   1956     keys = PySequence_List((PyObject *)so);
   1957     if (keys == NULL)
   1958         goto done;
   1959     args = PyTuple_Pack(1, keys);
   1960     if (args == NULL)
   1961         goto done;
   1962     dict = PyObject_GetAttrString((PyObject *)so, "__dict__");
   1963     if (dict == NULL) {
   1964         PyErr_Clear();
   1965         dict = Py_None;
   1966         Py_INCREF(dict);
   1967     }
   1968     result = PyTuple_Pack(3, Py_TYPE(so), args, dict);
   1969 done:
   1970     Py_XDECREF(args);
   1971     Py_XDECREF(keys);
   1972     Py_XDECREF(dict);
   1973     return result;
   1974 }
   1975 
   1976 PyDoc_STRVAR(reduce_doc, "Return state information for pickling.");
   1977 
   1978 static PyObject *
   1979 set_sizeof(PySetObject *so)
   1980 {
   1981     Py_ssize_t res;
   1982 
   1983     res = sizeof(PySetObject);
   1984     if (so->table != so->smalltable)
   1985         res = res + (so->mask + 1) * sizeof(setentry);
   1986     return PyInt_FromSsize_t(res);
   1987 }
   1988 
   1989 PyDoc_STRVAR(sizeof_doc, "S.__sizeof__() -> size of S in memory, in bytes");
   1990 static int
   1991 set_init(PySetObject *self, PyObject *args, PyObject *kwds)
   1992 {
   1993     PyObject *iterable = NULL;
   1994 
   1995     if (!PyAnySet_Check(self))
   1996         return -1;
   1997     if (PySet_Check(self) && !_PyArg_NoKeywords("set()", kwds))
   1998         return -1;
   1999     if (!PyArg_UnpackTuple(args, Py_TYPE(self)->tp_name, 0, 1, &iterable))
   2000         return -1;
   2001     set_clear_internal(self);
   2002     self->hash = -1;
   2003     if (iterable == NULL)
   2004         return 0;
   2005     return set_update_internal(self, iterable);
   2006 }
   2007 
   2008 static PySequenceMethods set_as_sequence = {
   2009     set_len,                            /* sq_length */
   2010     0,                                  /* sq_concat */
   2011     0,                                  /* sq_repeat */
   2012     0,                                  /* sq_item */
   2013     0,                                  /* sq_slice */
   2014     0,                                  /* sq_ass_item */
   2015     0,                                  /* sq_ass_slice */
   2016     (objobjproc)set_contains,           /* sq_contains */
   2017 };
   2018 
   2019 /* set object ********************************************************/
   2020 
   2021 #ifdef Py_DEBUG
   2022 static PyObject *test_c_api(PySetObject *so);
   2023 
   2024 PyDoc_STRVAR(test_c_api_doc, "Exercises C API.  Returns True.\n\
   2025 All is well if assertions don't fail.");
   2026 #endif
   2027 
   2028 static PyMethodDef set_methods[] = {
   2029     {"add",             (PyCFunction)set_add,           METH_O,
   2030      add_doc},
   2031     {"clear",           (PyCFunction)set_clear,         METH_NOARGS,
   2032      clear_doc},
   2033     {"__contains__",(PyCFunction)set_direct_contains,           METH_O | METH_COEXIST,
   2034      contains_doc},
   2035     {"copy",            (PyCFunction)set_copy,          METH_NOARGS,
   2036      copy_doc},
   2037     {"discard",         (PyCFunction)set_discard,       METH_O,
   2038      discard_doc},
   2039     {"difference",      (PyCFunction)set_difference_multi,      METH_VARARGS,
   2040      difference_doc},
   2041     {"difference_update",       (PyCFunction)set_difference_update,     METH_VARARGS,
   2042      difference_update_doc},
   2043     {"intersection",(PyCFunction)set_intersection_multi,        METH_VARARGS,
   2044      intersection_doc},
   2045     {"intersection_update",(PyCFunction)set_intersection_update_multi,          METH_VARARGS,
   2046      intersection_update_doc},
   2047     {"isdisjoint",      (PyCFunction)set_isdisjoint,    METH_O,
   2048      isdisjoint_doc},
   2049     {"issubset",        (PyCFunction)set_issubset,      METH_O,
   2050      issubset_doc},
   2051     {"issuperset",      (PyCFunction)set_issuperset,    METH_O,
   2052      issuperset_doc},
   2053     {"pop",             (PyCFunction)set_pop,           METH_NOARGS,
   2054      pop_doc},
   2055     {"__reduce__",      (PyCFunction)set_reduce,        METH_NOARGS,
   2056      reduce_doc},
   2057     {"remove",          (PyCFunction)set_remove,        METH_O,
   2058      remove_doc},
   2059     {"__sizeof__",      (PyCFunction)set_sizeof,        METH_NOARGS,
   2060      sizeof_doc},
   2061     {"symmetric_difference",(PyCFunction)set_symmetric_difference,      METH_O,
   2062      symmetric_difference_doc},
   2063     {"symmetric_difference_update",(PyCFunction)set_symmetric_difference_update,        METH_O,
   2064      symmetric_difference_update_doc},
   2065 #ifdef Py_DEBUG
   2066     {"test_c_api",      (PyCFunction)test_c_api,        METH_NOARGS,
   2067      test_c_api_doc},
   2068 #endif
   2069     {"union",           (PyCFunction)set_union,         METH_VARARGS,
   2070      union_doc},
   2071     {"update",          (PyCFunction)set_update,        METH_VARARGS,
   2072      update_doc},
   2073     {NULL,              NULL}   /* sentinel */
   2074 };
   2075 
   2076 static PyNumberMethods set_as_number = {
   2077     0,                                  /*nb_add*/
   2078     (binaryfunc)set_sub,                /*nb_subtract*/
   2079     0,                                  /*nb_multiply*/
   2080     0,                                  /*nb_divide*/
   2081     0,                                  /*nb_remainder*/
   2082     0,                                  /*nb_divmod*/
   2083     0,                                  /*nb_power*/
   2084     0,                                  /*nb_negative*/
   2085     0,                                  /*nb_positive*/
   2086     0,                                  /*nb_absolute*/
   2087     0,                                  /*nb_nonzero*/
   2088     0,                                  /*nb_invert*/
   2089     0,                                  /*nb_lshift*/
   2090     0,                                  /*nb_rshift*/
   2091     (binaryfunc)set_and,                /*nb_and*/
   2092     (binaryfunc)set_xor,                /*nb_xor*/
   2093     (binaryfunc)set_or,                 /*nb_or*/
   2094     0,                                  /*nb_coerce*/
   2095     0,                                  /*nb_int*/
   2096     0,                                  /*nb_long*/
   2097     0,                                  /*nb_float*/
   2098     0,                                  /*nb_oct*/
   2099     0,                                  /*nb_hex*/
   2100     0,                                  /*nb_inplace_add*/
   2101     (binaryfunc)set_isub,               /*nb_inplace_subtract*/
   2102     0,                                  /*nb_inplace_multiply*/
   2103     0,                                  /*nb_inplace_divide*/
   2104     0,                                  /*nb_inplace_remainder*/
   2105     0,                                  /*nb_inplace_power*/
   2106     0,                                  /*nb_inplace_lshift*/
   2107     0,                                  /*nb_inplace_rshift*/
   2108     (binaryfunc)set_iand,               /*nb_inplace_and*/
   2109     (binaryfunc)set_ixor,               /*nb_inplace_xor*/
   2110     (binaryfunc)set_ior,                /*nb_inplace_or*/
   2111 };
   2112 
   2113 PyDoc_STRVAR(set_doc,
   2114 "set() -> new empty set object\n\
   2115 set(iterable) -> new set object\n\
   2116 \n\
   2117 Build an unordered collection of unique elements.");
   2118 
   2119 PyTypeObject PySet_Type = {
   2120     PyVarObject_HEAD_INIT(&PyType_Type, 0)
   2121     "set",                              /* tp_name */
   2122     sizeof(PySetObject),                /* tp_basicsize */
   2123     0,                                  /* tp_itemsize */
   2124     /* methods */
   2125     (destructor)set_dealloc,            /* tp_dealloc */
   2126     (printfunc)set_tp_print,            /* tp_print */
   2127     0,                                  /* tp_getattr */
   2128     0,                                  /* tp_setattr */
   2129     set_nocmp,                          /* tp_compare */
   2130     (reprfunc)set_repr,                 /* tp_repr */
   2131     &set_as_number,                     /* tp_as_number */
   2132     &set_as_sequence,                   /* tp_as_sequence */
   2133     0,                                  /* tp_as_mapping */
   2134     (hashfunc)PyObject_HashNotImplemented,      /* tp_hash */
   2135     0,                                  /* tp_call */
   2136     0,                                  /* tp_str */
   2137     PyObject_GenericGetAttr,            /* tp_getattro */
   2138     0,                                  /* tp_setattro */
   2139     0,                                  /* tp_as_buffer */
   2140     Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_CHECKTYPES |
   2141         Py_TPFLAGS_BASETYPE,            /* tp_flags */
   2142     set_doc,                            /* tp_doc */
   2143     (traverseproc)set_traverse,         /* tp_traverse */
   2144     (inquiry)set_clear_internal,        /* tp_clear */
   2145     (richcmpfunc)set_richcompare,       /* tp_richcompare */
   2146     offsetof(PySetObject, weakreflist),         /* tp_weaklistoffset */
   2147     (getiterfunc)set_iter,      /* tp_iter */
   2148     0,                                  /* tp_iternext */
   2149     set_methods,                        /* tp_methods */
   2150     0,                                  /* tp_members */
   2151     0,                                  /* tp_getset */
   2152     0,                                  /* tp_base */
   2153     0,                                  /* tp_dict */
   2154     0,                                  /* tp_descr_get */
   2155     0,                                  /* tp_descr_set */
   2156     0,                                  /* tp_dictoffset */
   2157     (initproc)set_init,                 /* tp_init */
   2158     PyType_GenericAlloc,                /* tp_alloc */
   2159     set_new,                            /* tp_new */
   2160     PyObject_GC_Del,                    /* tp_free */
   2161 };
   2162 
   2163 /* frozenset object ********************************************************/
   2164 
   2165 
   2166 static PyMethodDef frozenset_methods[] = {
   2167     {"__contains__",(PyCFunction)set_direct_contains,           METH_O | METH_COEXIST,
   2168      contains_doc},
   2169     {"copy",            (PyCFunction)frozenset_copy,    METH_NOARGS,
   2170      copy_doc},
   2171     {"difference",      (PyCFunction)set_difference_multi,      METH_VARARGS,
   2172      difference_doc},
   2173     {"intersection",(PyCFunction)set_intersection_multi,        METH_VARARGS,
   2174      intersection_doc},
   2175     {"isdisjoint",      (PyCFunction)set_isdisjoint,    METH_O,
   2176      isdisjoint_doc},
   2177     {"issubset",        (PyCFunction)set_issubset,      METH_O,
   2178      issubset_doc},
   2179     {"issuperset",      (PyCFunction)set_issuperset,    METH_O,
   2180      issuperset_doc},
   2181     {"__reduce__",      (PyCFunction)set_reduce,        METH_NOARGS,
   2182      reduce_doc},
   2183     {"__sizeof__",      (PyCFunction)set_sizeof,        METH_NOARGS,
   2184      sizeof_doc},
   2185     {"symmetric_difference",(PyCFunction)set_symmetric_difference,      METH_O,
   2186      symmetric_difference_doc},
   2187     {"union",           (PyCFunction)set_union,         METH_VARARGS,
   2188      union_doc},
   2189     {NULL,              NULL}   /* sentinel */
   2190 };
   2191 
   2192 static PyNumberMethods frozenset_as_number = {
   2193     0,                                  /*nb_add*/
   2194     (binaryfunc)set_sub,                /*nb_subtract*/
   2195     0,                                  /*nb_multiply*/
   2196     0,                                  /*nb_divide*/
   2197     0,                                  /*nb_remainder*/
   2198     0,                                  /*nb_divmod*/
   2199     0,                                  /*nb_power*/
   2200     0,                                  /*nb_negative*/
   2201     0,                                  /*nb_positive*/
   2202     0,                                  /*nb_absolute*/
   2203     0,                                  /*nb_nonzero*/
   2204     0,                                  /*nb_invert*/
   2205     0,                                  /*nb_lshift*/
   2206     0,                                  /*nb_rshift*/
   2207     (binaryfunc)set_and,                /*nb_and*/
   2208     (binaryfunc)set_xor,                /*nb_xor*/
   2209     (binaryfunc)set_or,                 /*nb_or*/
   2210 };
   2211 
   2212 PyDoc_STRVAR(frozenset_doc,
   2213 "frozenset() -> empty frozenset object\n\
   2214 frozenset(iterable) -> frozenset object\n\
   2215 \n\
   2216 Build an immutable unordered collection of unique elements.");
   2217 
   2218 PyTypeObject PyFrozenSet_Type = {
   2219     PyVarObject_HEAD_INIT(&PyType_Type, 0)
   2220     "frozenset",                        /* tp_name */
   2221     sizeof(PySetObject),                /* tp_basicsize */
   2222     0,                                  /* tp_itemsize */
   2223     /* methods */
   2224     (destructor)set_dealloc,            /* tp_dealloc */
   2225     (printfunc)set_tp_print,            /* tp_print */
   2226     0,                                  /* tp_getattr */
   2227     0,                                  /* tp_setattr */
   2228     set_nocmp,                          /* tp_compare */
   2229     (reprfunc)set_repr,                 /* tp_repr */
   2230     &frozenset_as_number,               /* tp_as_number */
   2231     &set_as_sequence,                   /* tp_as_sequence */
   2232     0,                                  /* tp_as_mapping */
   2233     frozenset_hash,                     /* tp_hash */
   2234     0,                                  /* tp_call */
   2235     0,                                  /* tp_str */
   2236     PyObject_GenericGetAttr,            /* tp_getattro */
   2237     0,                                  /* tp_setattro */
   2238     0,                                  /* tp_as_buffer */
   2239     Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_CHECKTYPES |
   2240         Py_TPFLAGS_BASETYPE,            /* tp_flags */
   2241     frozenset_doc,                      /* tp_doc */
   2242     (traverseproc)set_traverse,         /* tp_traverse */
   2243     (inquiry)set_clear_internal,        /* tp_clear */
   2244     (richcmpfunc)set_richcompare,       /* tp_richcompare */
   2245     offsetof(PySetObject, weakreflist),         /* tp_weaklistoffset */
   2246     (getiterfunc)set_iter,              /* tp_iter */
   2247     0,                                  /* tp_iternext */
   2248     frozenset_methods,                  /* tp_methods */
   2249     0,                                  /* tp_members */
   2250     0,                                  /* tp_getset */
   2251     0,                                  /* tp_base */
   2252     0,                                  /* tp_dict */
   2253     0,                                  /* tp_descr_get */
   2254     0,                                  /* tp_descr_set */
   2255     0,                                  /* tp_dictoffset */
   2256     0,                                  /* tp_init */
   2257     PyType_GenericAlloc,                /* tp_alloc */
   2258     frozenset_new,                      /* tp_new */
   2259     PyObject_GC_Del,                    /* tp_free */
   2260 };
   2261 
   2262 
   2263 /***** C API functions *************************************************/
   2264 
   2265 PyObject *
   2266 PySet_New(PyObject *iterable)
   2267 {
   2268     return make_new_set(&PySet_Type, iterable);
   2269 }
   2270 
   2271 PyObject *
   2272 PyFrozenSet_New(PyObject *iterable)
   2273 {
   2274     return make_new_set(&PyFrozenSet_Type, iterable);
   2275 }
   2276 
   2277 Py_ssize_t
   2278 PySet_Size(PyObject *anyset)
   2279 {
   2280     if (!PyAnySet_Check(anyset)) {
   2281         PyErr_BadInternalCall();
   2282         return -1;
   2283     }
   2284     return PySet_GET_SIZE(anyset);
   2285 }
   2286 
   2287 int
   2288 PySet_Clear(PyObject *set)
   2289 {
   2290     if (!PySet_Check(set)) {
   2291         PyErr_BadInternalCall();
   2292         return -1;
   2293     }
   2294     return set_clear_internal((PySetObject *)set);
   2295 }
   2296 
   2297 int
   2298 PySet_Contains(PyObject *anyset, PyObject *key)
   2299 {
   2300     if (!PyAnySet_Check(anyset)) {
   2301         PyErr_BadInternalCall();
   2302         return -1;
   2303     }
   2304     return set_contains_key((PySetObject *)anyset, key);
   2305 }
   2306 
   2307 int
   2308 PySet_Discard(PyObject *set, PyObject *key)
   2309 {
   2310     if (!PySet_Check(set)) {
   2311         PyErr_BadInternalCall();
   2312         return -1;
   2313     }
   2314     return set_discard_key((PySetObject *)set, key);
   2315 }
   2316 
   2317 int
   2318 PySet_Add(PyObject *anyset, PyObject *key)
   2319 {
   2320     if (!PySet_Check(anyset) &&
   2321         (!PyFrozenSet_Check(anyset) || Py_REFCNT(anyset) != 1)) {
   2322         PyErr_BadInternalCall();
   2323         return -1;
   2324     }
   2325     return set_add_key((PySetObject *)anyset, key);
   2326 }
   2327 
   2328 int
   2329 _PySet_Next(PyObject *set, Py_ssize_t *pos, PyObject **key)
   2330 {
   2331     setentry *entry_ptr;
   2332 
   2333     if (!PyAnySet_Check(set)) {
   2334         PyErr_BadInternalCall();
   2335         return -1;
   2336     }
   2337     if (set_next((PySetObject *)set, pos, &entry_ptr) == 0)
   2338         return 0;
   2339     *key = entry_ptr->key;
   2340     return 1;
   2341 }
   2342 
   2343 int
   2344 _PySet_NextEntry(PyObject *set, Py_ssize_t *pos, PyObject **key, long *hash)
   2345 {
   2346     setentry *entry;
   2347 
   2348     if (!PyAnySet_Check(set)) {
   2349         PyErr_BadInternalCall();
   2350         return -1;
   2351     }
   2352     if (set_next((PySetObject *)set, pos, &entry) == 0)
   2353         return 0;
   2354     *key = entry->key;
   2355     *hash = entry->hash;
   2356     return 1;
   2357 }
   2358 
   2359 PyObject *
   2360 PySet_Pop(PyObject *set)
   2361 {
   2362     if (!PySet_Check(set)) {
   2363         PyErr_BadInternalCall();
   2364         return NULL;
   2365     }
   2366     return set_pop((PySetObject *)set);
   2367 }
   2368 
   2369 int
   2370 _PySet_Update(PyObject *set, PyObject *iterable)
   2371 {
   2372     if (!PySet_Check(set)) {
   2373         PyErr_BadInternalCall();
   2374         return -1;
   2375     }
   2376     return set_update_internal((PySetObject *)set, iterable);
   2377 }
   2378 
   2379 #ifdef Py_DEBUG
   2380 
   2381 /* Test code to be called with any three element set.
   2382    Returns True and original set is restored. */
   2383 
   2384 #define assertRaises(call_return_value, exception)              \
   2385     do {                                                        \
   2386         assert(call_return_value);                              \
   2387         assert(PyErr_ExceptionMatches(exception));              \
   2388         PyErr_Clear();                                          \
   2389     } while(0)
   2390 
   2391 static PyObject *
   2392 test_c_api(PySetObject *so)
   2393 {
   2394     Py_ssize_t count;
   2395     char *s;
   2396     Py_ssize_t i;
   2397     PyObject *elem=NULL, *dup=NULL, *t, *f, *dup2, *x;
   2398     PyObject *ob = (PyObject *)so;
   2399     PyObject *str;
   2400 
   2401     /* Verify preconditions */
   2402     assert(PyAnySet_Check(ob));
   2403     assert(PyAnySet_CheckExact(ob));
   2404     assert(!PyFrozenSet_CheckExact(ob));
   2405 
   2406     /* so.clear(); so |= set("abc"); */
   2407     str = PyString_FromString("abc");
   2408     if (str == NULL)
   2409         return NULL;
   2410     set_clear_internal(so);
   2411     if (set_update_internal(so, str) == -1) {
   2412         Py_DECREF(str);
   2413         return NULL;
   2414     }
   2415     Py_DECREF(str);
   2416 
   2417     /* Exercise type/size checks */
   2418     assert(PySet_Size(ob) == 3);
   2419     assert(PySet_GET_SIZE(ob) == 3);
   2420 
   2421     /* Raise TypeError for non-iterable constructor arguments */
   2422     assertRaises(PySet_New(Py_None) == NULL, PyExc_TypeError);
   2423     assertRaises(PyFrozenSet_New(Py_None) == NULL, PyExc_TypeError);
   2424 
   2425     /* Raise TypeError for unhashable key */
   2426     dup = PySet_New(ob);
   2427     assertRaises(PySet_Discard(ob, dup) == -1, PyExc_TypeError);
   2428     assertRaises(PySet_Contains(ob, dup) == -1, PyExc_TypeError);
   2429     assertRaises(PySet_Add(ob, dup) == -1, PyExc_TypeError);
   2430 
   2431     /* Exercise successful pop, contains, add, and discard */
   2432     elem = PySet_Pop(ob);
   2433     assert(PySet_Contains(ob, elem) == 0);
   2434     assert(PySet_GET_SIZE(ob) == 2);
   2435     assert(PySet_Add(ob, elem) == 0);
   2436     assert(PySet_Contains(ob, elem) == 1);
   2437     assert(PySet_GET_SIZE(ob) == 3);
   2438     assert(PySet_Discard(ob, elem) == 1);
   2439     assert(PySet_GET_SIZE(ob) == 2);
   2440     assert(PySet_Discard(ob, elem) == 0);
   2441     assert(PySet_GET_SIZE(ob) == 2);
   2442 
   2443     /* Exercise clear */
   2444     dup2 = PySet_New(dup);
   2445     assert(PySet_Clear(dup2) == 0);
   2446     assert(PySet_Size(dup2) == 0);
   2447     Py_DECREF(dup2);
   2448 
   2449     /* Raise SystemError on clear or update of frozen set */
   2450     f = PyFrozenSet_New(dup);
   2451     assertRaises(PySet_Clear(f) == -1, PyExc_SystemError);
   2452     assertRaises(_PySet_Update(f, dup) == -1, PyExc_SystemError);
   2453     assert(PySet_Add(f, elem) == 0);
   2454     Py_INCREF(f);
   2455     assertRaises(PySet_Add(f, elem) == -1, PyExc_SystemError);
   2456     Py_DECREF(f);
   2457     Py_DECREF(f);
   2458 
   2459     /* Exercise direct iteration */
   2460     i = 0, count = 0;
   2461     while (_PySet_Next((PyObject *)dup, &i, &x)) {
   2462         s = PyString_AsString(x);
   2463         assert(s && (s[0] == 'a' || s[0] == 'b' || s[0] == 'c'));
   2464         count++;
   2465     }
   2466     assert(count == 3);
   2467 
   2468     /* Exercise updates */
   2469     dup2 = PySet_New(NULL);
   2470     assert(_PySet_Update(dup2, dup) == 0);
   2471     assert(PySet_Size(dup2) == 3);
   2472     assert(_PySet_Update(dup2, dup) == 0);
   2473     assert(PySet_Size(dup2) == 3);
   2474     Py_DECREF(dup2);
   2475 
   2476     /* Raise SystemError when self argument is not a set or frozenset. */
   2477     t = PyTuple_New(0);
   2478     assertRaises(PySet_Size(t) == -1, PyExc_SystemError);
   2479     assertRaises(PySet_Contains(t, elem) == -1, PyExc_SystemError);
   2480     Py_DECREF(t);
   2481 
   2482     /* Raise SystemError when self argument is not a set. */
   2483     f = PyFrozenSet_New(dup);
   2484     assert(PySet_Size(f) == 3);
   2485     assert(PyFrozenSet_CheckExact(f));
   2486     assertRaises(PySet_Discard(f, elem) == -1, PyExc_SystemError);
   2487     assertRaises(PySet_Pop(f) == NULL, PyExc_SystemError);
   2488     Py_DECREF(f);
   2489 
   2490     /* Raise KeyError when popping from an empty set */
   2491     assert(PyNumber_InPlaceSubtract(ob, ob) == ob);
   2492     Py_DECREF(ob);
   2493     assert(PySet_GET_SIZE(ob) == 0);
   2494     assertRaises(PySet_Pop(ob) == NULL, PyExc_KeyError);
   2495 
   2496     /* Restore the set from the copy using the PyNumber API */
   2497     assert(PyNumber_InPlaceOr(ob, dup) == ob);
   2498     Py_DECREF(ob);
   2499 
   2500     /* Verify constructors accept NULL arguments */
   2501     f = PySet_New(NULL);
   2502     assert(f != NULL);
   2503     assert(PySet_GET_SIZE(f) == 0);
   2504     Py_DECREF(f);
   2505     f = PyFrozenSet_New(NULL);
   2506     assert(f != NULL);
   2507     assert(PyFrozenSet_CheckExact(f));
   2508     assert(PySet_GET_SIZE(f) == 0);
   2509     Py_DECREF(f);
   2510 
   2511     Py_DECREF(elem);
   2512     Py_DECREF(dup);
   2513     Py_RETURN_TRUE;
   2514 }
   2515 
   2516 #undef assertRaises
   2517 
   2518 #endif
   2519