Modules/_collectionsmodule.c

#include "Python.h"
#include "structmember.h"

/* collections module implementation of a deque() datatype
   Written and maintained by Raymond D. Hettinger <python@rcn.com>
   Copyright (c) 2004-2014 Python Software Foundation.
   All rights reserved.
*/

/* The block length may be set to any number over 1.  Larger numbers
 * reduce the number of calls to the memory allocator, give faster
 * indexing and rotation, and reduce the link::data overhead ratio.
 *
 * Ideally, the block length will be set to two less than some
 * multiple of the cache-line length (so that the full block
 * including the leftlink and rightlink will fit neatly into
 * cache lines).
 */

#define BLOCKLEN 62
#define CENTER ((BLOCKLEN - 1) / 2)

/* A `dequeobject` is composed of a doubly-linked list of `block` nodes.
 * The list of blocks is never empty, so d.leftblock and d.rightblock
 * are never equal to NULL.  The list is not circular.
 *
 * A deque d's first element is at d.leftblock[leftindex]
 * and its last element is at d.rightblock[rightindex].
 * Unlike Python slice indices, these indices are inclusive
 * on both ends.  This makes the algorithms for left and
 * right operations more symmetrical and simplifies the design.
 *
 * The indices, d.leftindex and d.rightindex are always in the range
 *     0 <= index < BLOCKLEN.
 * Their exact relationship is:
 *     (d.leftindex + d.len - 1) % BLOCKLEN == d.rightindex.
 *
 * Empty deques have d.len == 0; d.leftblock==d.rightblock;
 * d.leftindex == CENTER+1; and d.rightindex == CENTER.
 * Checking for d.len == 0 is the intended way to see whether d is empty.
 *
 * Whenever d.leftblock == d.rightblock,
 *     d.leftindex + d.len - 1 == d.rightindex.
 *
 * However, when d.leftblock != d.rightblock, d.leftindex and d.rightindex
 * become indices into distinct blocks and either may be larger than the
 * other.
 */

typedef struct BLOCK {
    struct BLOCK *leftlink;
    PyObject *data[BLOCKLEN];
    struct BLOCK *rightlink;
} block;

/* For debug builds, add error checking to track the endpoints
 * in the chain of links.  The goal is to make sure that link
 * assignments only take place at endpoints so that links already
 * in use do not get overwritten.
 *
 * CHECK_END should happen before each assignment to a block's link field.
 * MARK_END should happen whenever a link field becomes a new endpoint.
 * This happens when new blocks are added or whenever an existing
 * block is freed leaving another existing block as the new endpoint.
 */

#ifndef NDEBUG
#define MARK_END(link)  link = NULL;
#define CHECK_END(link) assert(link == NULL);
#define CHECK_NOT_END(link) assert(link != NULL);
#else
#define MARK_END(link)
#define CHECK_END(link)
#define CHECK_NOT_END(link)
#endif

/* A simple freelisting scheme is used to minimize calls to the memory
   allocator.  It accomodates common use cases where new blocks are being
   added at about the same rate as old blocks are being freed.
 */

#define MAXFREEBLOCKS 10
static Py_ssize_t numfreeblocks = 0;
static block *freeblocks[MAXFREEBLOCKS];

static block *
newblock(Py_ssize_t len) {
    block *b;
    /* To prevent len from overflowing PY_SSIZE_T_MAX, we refuse to
     * allocate new blocks if the current len is nearing overflow. */
    if (len >= PY_SSIZE_T_MAX - 2*BLOCKLEN) {
        PyErr_SetString(PyExc_OverflowError,
                        "cannot add more blocks to the deque");
        return NULL;
    }
    if (numfreeblocks) {
        numfreeblocks--;
        return freeblocks[numfreeblocks];
    }
    b = PyMem_Malloc(sizeof(block));
    if (b != NULL) {
        return b;
    }
    PyErr_NoMemory();
    return NULL;
}

static void
freeblock(block *b)
{
    if (numfreeblocks < MAXFREEBLOCKS) {
        freeblocks[numfreeblocks] = b;
        numfreeblocks++;
    } else {
        PyMem_Free(b);
    }
}

typedef struct {
    PyObject_VAR_HEAD
    block *leftblock;
    block *rightblock;
    Py_ssize_t leftindex;       /* in range(BLOCKLEN) */
    Py_ssize_t rightindex;      /* in range(BLOCKLEN) */
    long state;                 /* incremented whenever the indices move */
    Py_ssize_t maxlen;
    PyObject *weakreflist; /* List of weak references */
} dequeobject;

/* The deque's size limit is d.maxlen.  The limit can be zero or positive.
 * If there is no limit, then d.maxlen == -1.
 *
 * After an item is added to a deque, we check to see if the size has grown past
 * the limit. If it has, we get the size back down to the limit by popping an
 * item off of the opposite end.  The methods that can trigger this are append(),
 * appendleft(), extend(), and extendleft().
 */

#define TRIM(d, popfunction)                                    \
    if (d->maxlen != -1 && Py_SIZE(d) > d->maxlen) {       \
        PyObject *rv = popfunction(d, NULL);                \
        assert(rv != NULL  &&  Py_SIZE(d) <= d->maxlen);    \
        Py_DECREF(rv);                                      \
    }

static PyTypeObject deque_type;

/* XXX Todo: 
   If aligned memory allocations become available, make the
   deque object 64 byte aligned so that all of the fields
   can be retrieved or updated in a single cache line.
*/

static PyObject *
deque_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
{
    dequeobject *deque;
    block *b;

    /* create dequeobject structure */
    deque = (dequeobject *)type->tp_alloc(type, 0);
    if (deque == NULL)
        return NULL;

    b = newblock(0);
    if (b == NULL) {
        Py_DECREF(deque);
        return NULL;
    }
    MARK_END(b->leftlink);
    MARK_END(b->rightlink);

    assert(BLOCKLEN >= 2);
    deque->leftblock = b;
    deque->rightblock = b;
    deque->leftindex = CENTER + 1;
    deque->rightindex = CENTER;
    Py_SIZE(deque) = 0;
    deque->state = 0;
    deque->weakreflist = NULL;
    deque->maxlen = -1;

    return (PyObject *)deque;
}

static PyObject *
deque_pop(dequeobject *deque, PyObject *unused)
{
    PyObject *item;
    block *prevblock;

    if (Py_SIZE(deque) == 0) {
        PyErr_SetString(PyExc_IndexError, "pop from an empty deque");
        return NULL;
    }
    item = deque->rightblock->data[deque->rightindex];
    deque->rightindex--;
    Py_SIZE(deque)--;
    deque->state++;

    if (deque->rightindex == -1) {
        if (Py_SIZE(deque) == 0) {
            assert(deque->leftblock == deque->rightblock);
            assert(deque->leftindex == deque->rightindex+1);
            /* re-center instead of freeing a block */
            deque->leftindex = CENTER + 1;
            deque->rightindex = CENTER;
        } else {
            prevblock = deque->rightblock->leftlink;
            assert(deque->leftblock != deque->rightblock);
            freeblock(deque->rightblock);
            CHECK_NOT_END(prevblock);
            MARK_END(prevblock->rightlink);
            deque->rightblock = prevblock;
            deque->rightindex = BLOCKLEN - 1;
        }
    }
    return item;
}

PyDoc_STRVAR(pop_doc, "Remove and return the rightmost element.");

static PyObject *
deque_popleft(dequeobject *deque, PyObject *unused)
{
    PyObject *item;
    block *prevblock;

    if (Py_SIZE(deque) == 0) {
        PyErr_SetString(PyExc_IndexError, "pop from an empty deque");
        return NULL;
    }
    assert(deque->leftblock != NULL);
    item = deque->leftblock->data[deque->leftindex];
    deque->leftindex++;
    Py_SIZE(deque)--;
    deque->state++;

    if (deque->leftindex == BLOCKLEN) {
        if (Py_SIZE(deque) == 0) {
            assert(deque->leftblock == deque->rightblock);
            assert(deque->leftindex == deque->rightindex+1);
            /* re-center instead of freeing a block */
            deque->leftindex = CENTER + 1;
            deque->rightindex = CENTER;
        } else {
            assert(deque->leftblock != deque->rightblock);
            prevblock = deque->leftblock->rightlink;
            freeblock(deque->leftblock);
            CHECK_NOT_END(prevblock);
            MARK_END(prevblock->leftlink);
            deque->leftblock = prevblock;
            deque->leftindex = 0;
        }
    }
    return item;
}

PyDoc_STRVAR(popleft_doc, "Remove and return the leftmost element.");

static PyObject *
deque_append(dequeobject *deque, PyObject *item)
{
    deque->state++;
    if (deque->rightindex == BLOCKLEN-1) {
        block *b = newblock(Py_SIZE(deque));
        if (b == NULL)
            return NULL;
        b->leftlink = deque->rightblock;
        CHECK_END(deque->rightblock->rightlink);
        deque->rightblock->rightlink = b;
        deque->rightblock = b;
        MARK_END(b->rightlink);
        deque->rightindex = -1;
    }
    Py_INCREF(item);
    Py_SIZE(deque)++;
    deque->rightindex++;
    deque->rightblock->data[deque->rightindex] = item;
    TRIM(deque, deque_popleft);
    Py_RETURN_NONE;
}

PyDoc_STRVAR(append_doc, "Add an element to the right side of the deque.");

static PyObject *
deque_appendleft(dequeobject *deque, PyObject *item)
{
    deque->state++;
    if (deque->leftindex == 0) {
        block *b = newblock(Py_SIZE(deque));
        if (b == NULL)
            return NULL;
        b->rightlink = deque->leftblock;
        CHECK_END(deque->leftblock->leftlink);
        deque->leftblock->leftlink = b;
        deque->leftblock = b;
        MARK_END(b->leftlink);
        deque->leftindex = BLOCKLEN;
    }
    Py_INCREF(item);
    Py_SIZE(deque)++;
    deque->leftindex--;
    deque->leftblock->data[deque->leftindex] = item;
    TRIM(deque, deque_pop);
    Py_RETURN_NONE;
}

PyDoc_STRVAR(appendleft_doc, "Add an element to the left side of the deque.");


/* Run an iterator to exhaustion.  Shortcut for
   the extend/extendleft methods when maxlen == 0. */
static PyObject*
consume_iterator(PyObject *it)
{
    PyObject *item;

    while ((item = PyIter_Next(it)) != NULL) {
        Py_DECREF(item);
    }
    Py_DECREF(it);
    if (PyErr_Occurred())
        return NULL;
    Py_RETURN_NONE;
}

static PyObject *
deque_extend(dequeobject *deque, PyObject *iterable)
{
    PyObject *it, *item;

    /* Handle case where id(deque) == id(iterable) */
    if ((PyObject *)deque == iterable) {
        PyObject *result;
        PyObject *s = PySequence_List(iterable);
        if (s == NULL)
            return NULL;
        result = deque_extend(deque, s);
        Py_DECREF(s);
        return result;
    }

    /* Space saving heuristic.  Start filling from the left */
    if (Py_SIZE(deque) == 0) {
        assert(deque->leftblock == deque->rightblock);
        assert(deque->leftindex == deque->rightindex+1);
        deque->leftindex = 1;
        deque->rightindex = 0;
    }

    it = PyObject_GetIter(iterable);
    if (it == NULL)
        return NULL;

    if (deque->maxlen == 0)
        return consume_iterator(it);

    while ((item = PyIter_Next(it)) != NULL) {
        deque->state++;
        if (deque->rightindex == BLOCKLEN-1) {
            block *b = newblock(Py_SIZE(deque));
            if (b == NULL) {
                Py_DECREF(item);
                Py_DECREF(it);
                return NULL;
            }
            b->leftlink = deque->rightblock;
            CHECK_END(deque->rightblock->rightlink);
            deque->rightblock->rightlink = b;
            deque->rightblock = b;
            MARK_END(b->rightlink);
            deque->rightindex = -1;
        }
        Py_SIZE(deque)++;
        deque->rightindex++;
        deque->rightblock->data[deque->rightindex] = item;
        TRIM(deque, deque_popleft);
    }
    Py_DECREF(it);
    if (PyErr_Occurred())
        return NULL;
    Py_RETURN_NONE;
}

PyDoc_STRVAR(extend_doc,
"Extend the right side of the deque with elements from the iterable");

static PyObject *
deque_extendleft(dequeobject *deque, PyObject *iterable)
{
    PyObject *it, *item;

    /* Handle case where id(deque) == id(iterable) */
    if ((PyObject *)deque == iterable) {
        PyObject *result;
        PyObject *s = PySequence_List(iterable);
        if (s == NULL)
            return NULL;
        result = deque_extendleft(deque, s);
        Py_DECREF(s);
        return result;
    }

    /* Space saving heuristic.  Start filling from the right */
    if (Py_SIZE(deque) == 0) {
        assert(deque->leftblock == deque->rightblock);
        assert(deque->leftindex == deque->rightindex+1);
        deque->leftindex = BLOCKLEN - 1;
        deque->rightindex = BLOCKLEN - 2;
    }

    it = PyObject_GetIter(iterable);
    if (it == NULL)
        return NULL;

    if (deque->maxlen == 0)
        return consume_iterator(it);

    while ((item = PyIter_Next(it)) != NULL) {
        deque->state++;
        if (deque->leftindex == 0) {
            block *b = newblock(Py_SIZE(deque));
            if (b == NULL) {
                Py_DECREF(item);
                Py_DECREF(it);
                return NULL;
            }
            b->rightlink = deque->leftblock;
            CHECK_END(deque->leftblock->leftlink);
            deque->leftblock->leftlink = b;
            deque->leftblock = b;
            MARK_END(b->leftlink);
            deque->leftindex = BLOCKLEN;
        }
        Py_SIZE(deque)++;
        deque->leftindex--;
        deque->leftblock->data[deque->leftindex] = item;
        TRIM(deque, deque_pop);
    }
    Py_DECREF(it);
    if (PyErr_Occurred())
        return NULL;
    Py_RETURN_NONE;
}

PyDoc_STRVAR(extendleft_doc,
"Extend the left side of the deque with elements from the iterable");

static PyObject *
deque_inplace_concat(dequeobject *deque, PyObject *other)
{
    PyObject *result;

    result = deque_extend(deque, other);
    if (result == NULL)
        return result;
    Py_DECREF(result);
    Py_INCREF(deque);
    return (PyObject *)deque;
}

/* The rotate() method is part of the public API and is used internally
as a primitive for other methods.

Rotation by 1 or -1 is a common case, so any optimizations for high
volume rotations should take care not to penalize the common case.

Conceptually, a rotate by one is equivalent to a pop on one side and an
append on the other.  However, a pop/append pair is unnecessarily slow
because it requires a incref/decref pair for an object located randomly
in memory.  It is better to just move the object pointer from one block
to the next without changing the reference count.

When moving batches of pointers, it is tempting to use memcpy() but that
proved to be slower than a simple loop for a variety of reasons.
Memcpy() cannot know in advance that we're copying pointers instead of
bytes, that the source and destination are pointer aligned and
non-overlapping, that moving just one pointer is a common case, that we
never need to move more than BLOCKLEN pointers, and that at least one
pointer is always moved.

For high volume rotations, newblock() and freeblock() are never called
more than once.  Previously emptied blocks are immediately reused as a
destination block.  If a block is left-over at the end, it is freed.
*/

static int
_deque_rotate(dequeobject *deque, Py_ssize_t n)
{
    block *b = NULL;
    block *leftblock = deque->leftblock;
    block *rightblock = deque->rightblock;
    Py_ssize_t leftindex = deque->leftindex;
    Py_ssize_t rightindex = deque->rightindex;
    Py_ssize_t len=Py_SIZE(deque), halflen=len>>1;
    int rv = -1;

    if (len <= 1)
        return 0;
    if (n > halflen || n < -halflen) {
        n %= len;
        if (n > halflen)
            n -= len;
        else if (n < -halflen)
            n += len;
    }
    assert(len > 1);
    assert(-halflen <= n && n <= halflen);

    deque->state++;
    while (n > 0) {
        if (leftindex == 0) {
            if (b == NULL) {
                b = newblock(len);
                if (b == NULL)
                    goto done;
            }
            b->rightlink = leftblock;
            CHECK_END(leftblock->leftlink);
            leftblock->leftlink = b;
            leftblock = b;
            MARK_END(b->leftlink);
            leftindex = BLOCKLEN;
            b = NULL;
        }
        assert(leftindex > 0);
        {
            PyObject **src, **dest;
            Py_ssize_t m = n;

            if (m > rightindex + 1)
                m = rightindex + 1;
            if (m > leftindex)
                m = leftindex;
            assert (m > 0 && m <= len);
            src = &rightblock->data[rightindex];
            dest = &leftblock->data[leftindex - 1];
            rightindex -= m;
            leftindex -= m;
            n -= m;
            do {
                *(dest--) = *(src--);
            } while (--m);
        }
        if (rightindex == -1) {
            assert(leftblock != rightblock);
            assert(b == NULL);
            b = rightblock;
            CHECK_NOT_END(rightblock->leftlink);
            rightblock = rightblock->leftlink;
            MARK_END(rightblock->rightlink);
            rightindex = BLOCKLEN - 1;
        }
    }
    while (n < 0) {
        if (rightindex == BLOCKLEN - 1) {
            if (b == NULL) {
                b = newblock(len);
                if (b == NULL)
                    goto done;
            }
            b->leftlink = rightblock;
            CHECK_END(rightblock->rightlink);
            rightblock->rightlink = b;
            rightblock = b;
            MARK_END(b->rightlink);
            rightindex = -1;
            b = NULL;
        }
        assert (rightindex < BLOCKLEN - 1);
        {
            PyObject **src, **dest;
            Py_ssize_t m = -n;

            if (m > BLOCKLEN - leftindex)
                m = BLOCKLEN - leftindex;
            if (m > BLOCKLEN - 1 - rightindex)
                m = BLOCKLEN - 1 - rightindex;
            assert (m > 0 && m <= len);
            src = &leftblock->data[leftindex];
            dest = &rightblock->data[rightindex + 1];
            leftindex += m;
            rightindex += m;
            n += m;
            do {
                *(dest++) = *(src++);
            } while (--m);
        }
        if (leftindex == BLOCKLEN) {
            assert(leftblock != rightblock);
            assert(b == NULL);
            b = leftblock;
            CHECK_NOT_END(leftblock->rightlink);
            leftblock = leftblock->rightlink;
            MARK_END(leftblock->leftlink);
            leftindex = 0;
        }
    }
    rv = 0;
done:
    if (b != NULL)
        freeblock(b);
    deque->leftblock = leftblock;
    deque->rightblock = rightblock;
    deque->leftindex = leftindex;
    deque->rightindex = rightindex;

    return rv;
}

static PyObject *
deque_rotate(dequeobject *deque, PyObject *args)
{
    Py_ssize_t n=1;

    if (!PyArg_ParseTuple(args, "|n:rotate", &n))
        return NULL;
    if (_deque_rotate(deque, n) == 0)
        Py_RETURN_NONE;
    return NULL;
}

PyDoc_STRVAR(rotate_doc,
"Rotate the deque n steps to the right (default n=1).  If n is negative, rotates left.");

static PyObject *
deque_reverse(dequeobject *deque, PyObject *unused)
{
    block *leftblock = deque->leftblock;
    block *rightblock = deque->rightblock;
    Py_ssize_t leftindex = deque->leftindex;
    Py_ssize_t rightindex = deque->rightindex;
    Py_ssize_t n = (Py_SIZE(deque))/2;
    Py_ssize_t i;
    PyObject *tmp;

    for (i=0 ; i<n ; i++) {
        /* Validate that pointers haven't met in the middle */
        assert(leftblock != rightblock || leftindex < rightindex);
        CHECK_NOT_END(leftblock);
        CHECK_NOT_END(rightblock);

        /* Swap */
        tmp = leftblock->data[leftindex];
        leftblock->data[leftindex] = rightblock->data[rightindex];
        rightblock->data[rightindex] = tmp;

        /* Advance left block/index pair */
        leftindex++;
        if (leftindex == BLOCKLEN) {
            leftblock = leftblock->rightlink;
            leftindex = 0;
        }

        /* Step backwards with the right block/index pair */
        rightindex--;
        if (rightindex == -1) {
            rightblock = rightblock->leftlink;
            rightindex = BLOCKLEN - 1;
        }
    }
    Py_RETURN_NONE;
}

PyDoc_STRVAR(reverse_doc,
"D.reverse() -- reverse *IN PLACE*");

static PyObject *
deque_count(dequeobject *deque, PyObject *v)
{
    block *b = deque->leftblock;
    Py_ssize_t index = deque->leftindex;
    Py_ssize_t n = Py_SIZE(deque);
    Py_ssize_t i;
    Py_ssize_t count = 0;
    PyObject *item;
    long start_state = deque->state;
    int cmp;

    for (i=0 ; i<n ; i++) {
        CHECK_NOT_END(b);
        item = b->data[index];
        cmp = PyObject_RichCompareBool(item, v, Py_EQ);
        if (cmp > 0)
            count++;
        else if (cmp < 0)
            return NULL;

        if (start_state != deque->state) {
            PyErr_SetString(PyExc_RuntimeError,
                            "deque mutated during iteration");
            return NULL;
        }

        /* Advance left block/index pair */
        index++;
        if (index == BLOCKLEN) {
            b = b->rightlink;
            index = 0;
        }
    }
    return PyLong_FromSsize_t(count);
}

PyDoc_STRVAR(count_doc,
"D.count(value) -> integer -- return number of occurrences of value");

static Py_ssize_t
deque_len(dequeobject *deque)
{
    return Py_SIZE(deque);
}

static PyObject *
deque_remove(dequeobject *deque, PyObject *value)
{
    Py_ssize_t i, n=Py_SIZE(deque);

    for (i=0 ; i<n ; i++) {
        PyObject *item = deque->leftblock->data[deque->leftindex];
        int cmp = PyObject_RichCompareBool(item, value, Py_EQ);

        if (Py_SIZE(deque) != n) {
            PyErr_SetString(PyExc_IndexError,
                "deque mutated during remove().");
            return NULL;
        }
        if (cmp > 0) {
            PyObject *tgt = deque_popleft(deque, NULL);
            assert (tgt != NULL);
            Py_DECREF(tgt);
            if (_deque_rotate(deque, i) == -1)
                return NULL;
            Py_RETURN_NONE;
        }
        else if (cmp < 0) {
            _deque_rotate(deque, i);
            return NULL;
        }
        _deque_rotate(deque, -1);
    }
    PyErr_SetString(PyExc_ValueError, "deque.remove(x): x not in deque");
    return NULL;
}

PyDoc_STRVAR(remove_doc,
"D.remove(value) -- remove first occurrence of value.");

static void
deque_clear(dequeobject *deque)
{
    PyObject *item;

    while (Py_SIZE(deque)) {
        item = deque_pop(deque, NULL);
        assert (item != NULL);
        Py_DECREF(item);
    }
    assert(deque->leftblock == deque->rightblock &&
           deque->leftindex - 1 == deque->rightindex &&
           Py_SIZE(deque) == 0);
}

static PyObject *
deque_item(dequeobject *deque, Py_ssize_t i)
{
    block *b;
    PyObject *item;
    Py_ssize_t n, index=i;

    if (i < 0 || i >= Py_SIZE(deque)) {
        PyErr_SetString(PyExc_IndexError,
                        "deque index out of range");
        return NULL;
    }

    if (i == 0) {
        i = deque->leftindex;
        b = deque->leftblock;
    } else if (i == Py_SIZE(deque) - 1) {
        i = deque->rightindex;
        b = deque->rightblock;
    } else {
        i += deque->leftindex;
        n = i / BLOCKLEN;
        i %= BLOCKLEN;
        if (index < (Py_SIZE(deque) >> 1)) {
            b = deque->leftblock;
            while (n--)
                b = b->rightlink;
        } else {
            n = (deque->leftindex + Py_SIZE(deque) - 1) / BLOCKLEN - n;
            b = deque->rightblock;
            while (n--)
                b = b->leftlink;
        }
    }
    item = b->data[i];
    Py_INCREF(item);
    return item;
}

/* delitem() implemented in terms of rotate for simplicity and reasonable
   performance near the end points.  If for some reason this method becomes
   popular, it is not hard to re-implement this using direct data movement
   (similar to code in list slice assignment) and achieve a two or threefold
   performance boost.
*/

static int
deque_del_item(dequeobject *deque, Py_ssize_t i)
{
    PyObject *item;

    assert (i >= 0 && i < Py_SIZE(deque));
    if (_deque_rotate(deque, -i) == -1)
        return -1;

    item = deque_popleft(deque, NULL);
    assert (item != NULL);
    Py_DECREF(item);

    return _deque_rotate(deque, i);
}

static int
deque_ass_item(dequeobject *deque, Py_ssize_t i, PyObject *v)
{
    PyObject *old_value;
    block *b;
    Py_ssize_t n, len=Py_SIZE(deque), halflen=(len+1)>>1, index=i;

    if (i < 0 || i >= len) {
        PyErr_SetString(PyExc_IndexError,
                        "deque index out of range");
        return -1;
    }
    if (v == NULL)
        return deque_del_item(deque, i);

    i += deque->leftindex;
    n = i / BLOCKLEN;
    i %= BLOCKLEN;
    if (index <= halflen) {
        b = deque->leftblock;
        while (n--)
            b = b->rightlink;
    } else {
        n = (deque->leftindex + len - 1) / BLOCKLEN - n;
        b = deque->rightblock;
        while (n--)
            b = b->leftlink;
    }
    Py_INCREF(v);
    old_value = b->data[i];
    b->data[i] = v;
    Py_DECREF(old_value);
    return 0;
}

static PyObject *
deque_clearmethod(dequeobject *deque)
{
    deque_clear(deque);
    Py_RETURN_NONE;
}

PyDoc_STRVAR(clear_doc, "Remove all elements from the deque.");

static void
deque_dealloc(dequeobject *deque)
{
    PyObject_GC_UnTrack(deque);
    if (deque->weakreflist != NULL)
        PyObject_ClearWeakRefs((PyObject *) deque);
    if (deque->leftblock != NULL) {
        deque_clear(deque);
        assert(deque->leftblock != NULL);
        freeblock(deque->leftblock);
    }
    deque->leftblock = NULL;
    deque->rightblock = NULL;
    Py_TYPE(deque)->tp_free(deque);
}

static int
deque_traverse(dequeobject *deque, visitproc visit, void *arg)
{
    block *b;
    PyObject *item;
    Py_ssize_t index;
    Py_ssize_t indexlo = deque->leftindex;

    for (b = deque->leftblock; b != deque->rightblock; b = b->rightlink) {
        for (index = indexlo; index < BLOCKLEN ; index++) {
            item = b->data[index];
            Py_VISIT(item);
        }
        indexlo = 0;
    }
    for (index = indexlo; index <= deque->rightindex; index++) {
        item = b->data[index];
        Py_VISIT(item);
    }
    return 0;
}

static PyObject *
deque_copy(PyObject *deque)
{
    if (((dequeobject *)deque)->maxlen == -1)
        return PyObject_CallFunction((PyObject *)(Py_TYPE(deque)), "O", deque, NULL);
    else
        return PyObject_CallFunction((PyObject *)(Py_TYPE(deque)), "Oi",
            deque, ((dequeobject *)deque)->maxlen, NULL);
}

PyDoc_STRVAR(copy_doc, "Return a shallow copy of a deque.");

static PyObject *
deque_reduce(dequeobject *deque)
{
    PyObject *dict, *result, *aslist;
    _Py_IDENTIFIER(__dict__);

    dict = _PyObject_GetAttrId((PyObject *)deque, &PyId___dict__);
    if (dict == NULL)
        PyErr_Clear();
    aslist = PySequence_List((PyObject *)deque);
    if (aslist == NULL) {
        Py_XDECREF(dict);
        return NULL;
    }
    if (dict == NULL) {
        if (deque->maxlen == -1)
            result = Py_BuildValue("O(O)", Py_TYPE(deque), aslist);
        else
            result = Py_BuildValue("O(On)", Py_TYPE(deque), aslist, deque->maxlen);
    } else {
        if (deque->maxlen == -1)
            result = Py_BuildValue("O(OO)O", Py_TYPE(deque), aslist, Py_None, dict);
        else
            result = Py_BuildValue("O(On)O", Py_TYPE(deque), aslist, deque->maxlen, dict);
    }
    Py_XDECREF(dict);
    Py_DECREF(aslist);
    return result;
}

PyDoc_STRVAR(reduce_doc, "Return state information for pickling.");

static PyObject *
deque_repr(PyObject *deque)
{
    PyObject *aslist, *result;
    int i;

    i = Py_ReprEnter(deque);
    if (i != 0) {
        if (i < 0)
            return NULL;
        return PyUnicode_FromString("[...]");
    }

    aslist = PySequence_List(deque);
    if (aslist == NULL) {
        Py_ReprLeave(deque);
        return NULL;
    }
    if (((dequeobject *)deque)->maxlen != -1)

        result = PyUnicode_FromFormat("deque(%R, maxlen=%zd)",
                                      aslist, ((dequeobject *)deque)->maxlen);
    else
        result = PyUnicode_FromFormat("deque(%R)", aslist);
    Py_DECREF(aslist);
    Py_ReprLeave(deque);
    return result;
}

static PyObject *
deque_richcompare(PyObject *v, PyObject *w, int op)
{
    PyObject *it1=NULL, *it2=NULL, *x, *y;
    Py_ssize_t vs, ws;
    int b, cmp=-1;

    if (!PyObject_TypeCheck(v, &deque_type) ||
        !PyObject_TypeCheck(w, &deque_type)) {
        Py_RETURN_NOTIMPLEMENTED;
    }

    /* Shortcuts */
    vs = Py_SIZE((dequeobject *)v);
    ws = Py_SIZE((dequeobject *)w);
    if (op == Py_EQ) {
        if (v == w)
            Py_RETURN_TRUE;
        if (vs != ws)
            Py_RETURN_FALSE;
    }
    if (op == Py_NE) {
        if (v == w)
            Py_RETURN_FALSE;
        if (vs != ws)
            Py_RETURN_TRUE;
    }

    /* Search for the first index where items are different */
    it1 = PyObject_GetIter(v);
    if (it1 == NULL)
        goto done;
    it2 = PyObject_GetIter(w);
    if (it2 == NULL)
        goto done;
    for (;;) {
        x = PyIter_Next(it1);
        if (x == NULL && PyErr_Occurred())
            goto done;
        y = PyIter_Next(it2);
        if (x == NULL || y == NULL)
            break;
        b = PyObject_RichCompareBool(x, y, Py_EQ);
        if (b == 0) {
            cmp = PyObject_RichCompareBool(x, y, op);
            Py_DECREF(x);
            Py_DECREF(y);
            goto done;
        }
        Py_DECREF(x);
        Py_DECREF(y);
        if (b == -1)
            goto done;
    }
    /* We reached the end of one deque or both */
    Py_XDECREF(x);
    Py_XDECREF(y);
    if (PyErr_Occurred())
        goto done;
    switch (op) {
    case Py_LT: cmp = y != NULL; break;  /* if w was longer */
    case Py_LE: cmp = x == NULL; break;  /* if v was not longer */
    case Py_EQ: cmp = x == y;    break;  /* if we reached the end of both */
    case Py_NE: cmp = x != y;    break;  /* if one deque continues */
    case Py_GT: cmp = x != NULL; break;  /* if v was longer */
    case Py_GE: cmp = y == NULL; break;  /* if w was not longer */
    }

done:
    Py_XDECREF(it1);
    Py_XDECREF(it2);
    if (cmp == 1)
        Py_RETURN_TRUE;
    if (cmp == 0)
        Py_RETURN_FALSE;
    return NULL;
}

static int
deque_init(dequeobject *deque, PyObject *args, PyObject *kwdargs)
{
    PyObject *iterable = NULL;
    PyObject *maxlenobj = NULL;
    Py_ssize_t maxlen = -1;
    char *kwlist[] = {"iterable", "maxlen", 0};

    if (!PyArg_ParseTupleAndKeywords(args, kwdargs, "|OO:deque", kwlist, &iterable, &maxlenobj))
        return -1;
    if (maxlenobj != NULL && maxlenobj != Py_None) {
        maxlen = PyLong_AsSsize_t(maxlenobj);
        if (maxlen == -1 && PyErr_Occurred())
            return -1;
        if (maxlen < 0) {
            PyErr_SetString(PyExc_ValueError, "maxlen must be non-negative");
            return -1;
        }
    }
    deque->maxlen = maxlen;
    deque_clear(deque);
    if (iterable != NULL) {
        PyObject *rv = deque_extend(deque, iterable);
        if (rv == NULL)
            return -1;
        Py_DECREF(rv);
    }
    return 0;
}

static PyObject *
deque_sizeof(dequeobject *deque, void *unused)
{
    Py_ssize_t res;
    Py_ssize_t blocks;

    res = sizeof(dequeobject);
    blocks = (deque->leftindex + Py_SIZE(deque) + BLOCKLEN - 1) / BLOCKLEN;
    assert(deque->leftindex + Py_SIZE(deque) - 1 ==
           (blocks - 1) * BLOCKLEN + deque->rightindex);
    res += blocks * sizeof(block);
    return PyLong_FromSsize_t(res);
}

PyDoc_STRVAR(sizeof_doc,
"D.__sizeof__() -- size of D in memory, in bytes");

static PyObject *
deque_get_maxlen(dequeobject *deque)
{
    if (deque->maxlen == -1)
        Py_RETURN_NONE;
    return PyLong_FromSsize_t(deque->maxlen);
}

static PyGetSetDef deque_getset[] = {
    {"maxlen", (getter)deque_get_maxlen, (setter)NULL,
     "maximum size of a deque or None if unbounded"},
    {0}
};

static PySequenceMethods deque_as_sequence = {
    (lenfunc)deque_len,                 /* sq_length */
    0,                                  /* sq_concat */
    0,                                  /* sq_repeat */
    (ssizeargfunc)deque_item,           /* sq_item */
    0,                                  /* sq_slice */
    (ssizeobjargproc)deque_ass_item,            /* sq_ass_item */
    0,                                  /* sq_ass_slice */
    0,                                  /* sq_contains */
    (binaryfunc)deque_inplace_concat,           /* sq_inplace_concat */
    0,                                  /* sq_inplace_repeat */

};

/* deque object ********************************************************/

static PyObject *deque_iter(dequeobject *deque);
static PyObject *deque_reviter(dequeobject *deque);
PyDoc_STRVAR(reversed_doc,
    "D.__reversed__() -- return a reverse iterator over the deque");

static PyMethodDef deque_methods[] = {
    {"append",                  (PyCFunction)deque_append,
        METH_O,                  append_doc},
    {"appendleft",              (PyCFunction)deque_appendleft,
        METH_O,                  appendleft_doc},
    {"clear",                   (PyCFunction)deque_clearmethod,
        METH_NOARGS,             clear_doc},
    {"__copy__",                (PyCFunction)deque_copy,
        METH_NOARGS,             copy_doc},
    {"count",                   (PyCFunction)deque_count,
        METH_O,                         count_doc},
    {"extend",                  (PyCFunction)deque_extend,
        METH_O,                  extend_doc},
    {"extendleft",              (PyCFunction)deque_extendleft,
        METH_O,                  extendleft_doc},
    {"pop",                     (PyCFunction)deque_pop,
        METH_NOARGS,             pop_doc},
    {"popleft",                 (PyCFunction)deque_popleft,
        METH_NOARGS,             popleft_doc},
    {"__reduce__",      (PyCFunction)deque_reduce,
        METH_NOARGS,             reduce_doc},
    {"remove",                  (PyCFunction)deque_remove,
        METH_O,                  remove_doc},
    {"__reversed__",            (PyCFunction)deque_reviter,
        METH_NOARGS,             reversed_doc},
    {"reverse",                 (PyCFunction)deque_reverse,
        METH_NOARGS,             reverse_doc},
    {"rotate",                  (PyCFunction)deque_rotate,
        METH_VARARGS,            rotate_doc},
    {"__sizeof__",              (PyCFunction)deque_sizeof,
        METH_NOARGS,             sizeof_doc},
    {NULL,              NULL}   /* sentinel */
};

PyDoc_STRVAR(deque_doc,
"deque([iterable[, maxlen]]) --> deque object\n\
\n\
Build an ordered collection with optimized access from its endpoints.");

static PyTypeObject deque_type = {
    PyVarObject_HEAD_INIT(NULL, 0)
    "collections.deque",                /* tp_name */
    sizeof(dequeobject),                /* tp_basicsize */
    0,                                  /* tp_itemsize */
    /* methods */
    (destructor)deque_dealloc,          /* tp_dealloc */
    0,                                  /* tp_print */
    0,                                  /* tp_getattr */
    0,                                  /* tp_setattr */
    0,                                  /* tp_reserved */
    deque_repr,                         /* tp_repr */
    0,                                  /* tp_as_number */
    &deque_as_sequence,                 /* tp_as_sequence */
    0,                                  /* tp_as_mapping */
    PyObject_HashNotImplemented,        /* tp_hash */
    0,                                  /* tp_call */
    0,                                  /* tp_str */
    PyObject_GenericGetAttr,            /* tp_getattro */
    0,                                  /* tp_setattro */
    0,                                  /* tp_as_buffer */
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_BASETYPE | Py_TPFLAGS_HAVE_GC,
                                        /* tp_flags */
    deque_doc,                          /* tp_doc */
    (traverseproc)deque_traverse,       /* tp_traverse */
    (inquiry)deque_clear,               /* tp_clear */
    (richcmpfunc)deque_richcompare,     /* tp_richcompare */
    offsetof(dequeobject, weakreflist), /* tp_weaklistoffset*/
    (getiterfunc)deque_iter,            /* tp_iter */
    0,                                  /* tp_iternext */
    deque_methods,                      /* tp_methods */
    0,                                  /* tp_members */
    deque_getset,                       /* tp_getset */
    0,                                  /* tp_base */
    0,                                  /* tp_dict */
    0,                                  /* tp_descr_get */
    0,                                  /* tp_descr_set */
    0,                                  /* tp_dictoffset */
    (initproc)deque_init,               /* tp_init */
    PyType_GenericAlloc,                /* tp_alloc */
    deque_new,                          /* tp_new */
    PyObject_GC_Del,                    /* tp_free */
};

/*********************** Deque Iterator **************************/

typedef struct {
    PyObject_HEAD
    Py_ssize_t index;
    block *b;
    dequeobject *deque;
    long state;         /* state when the iterator is created */
    Py_ssize_t counter;    /* number of items remaining for iteration */
} dequeiterobject;

static PyTypeObject dequeiter_type;

static PyObject *
deque_iter(dequeobject *deque)
{
    dequeiterobject *it;

    it = PyObject_GC_New(dequeiterobject, &dequeiter_type);
    if (it == NULL)
        return NULL;
    it->b = deque->leftblock;
    it->index = deque->leftindex;
    Py_INCREF(deque);
    it->deque = deque;
    it->state = deque->state;
    it->counter = Py_SIZE(deque);
    PyObject_GC_Track(it);
    return (PyObject *)it;
}

static int
dequeiter_traverse(dequeiterobject *dio, visitproc visit, void *arg)
{
    Py_VISIT(dio->deque);
    return 0;
}

static void
dequeiter_dealloc(dequeiterobject *dio)
{
    Py_XDECREF(dio->deque);
    PyObject_GC_Del(dio);
}

static PyObject *
dequeiter_next(dequeiterobject *it)
{
    PyObject *item;

    if (it->deque->state != it->state) {
        it->counter = 0;
        PyErr_SetString(PyExc_RuntimeError,
                        "deque mutated during iteration");
        return NULL;
    }
    if (it->counter == 0)
        return NULL;
    assert (!(it->b == it->deque->rightblock &&
              it->index > it->deque->rightindex));

    item = it->b->data[it->index];
    it->index++;
    it->counter--;
    if (it->index == BLOCKLEN && it->counter > 0) {
        CHECK_NOT_END(it->b->rightlink);
        it->b = it->b->rightlink;
        it->index = 0;
    }
    Py_INCREF(item);
    return item;
}

static PyObject *
dequeiter_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
{
    Py_ssize_t i, index=0;
    PyObject *deque;
    dequeiterobject *it;
    if (!PyArg_ParseTuple(args, "O!|n", &deque_type, &deque, &index))
        return NULL;
    assert(type == &dequeiter_type);

    it = (dequeiterobject*)deque_iter((dequeobject *)deque);
    if (!it)
        return NULL;
    /* consume items from the queue */
    for(i=0; i<index; i++) {
        PyObject *item = dequeiter_next(it);
        if (item) {
            Py_DECREF(item);
        } else {
            if (it->counter) {
                Py_DECREF(it);
                return NULL;
            } else
                break;
        }
    }
    return (PyObject*)it;
}

static PyObject *
dequeiter_len(dequeiterobject *it)
{
    return PyLong_FromSsize_t(it->counter);
}

PyDoc_STRVAR(length_hint_doc, "Private method returning an estimate of len(list(it)).");

static PyObject *
dequeiter_reduce(dequeiterobject *it)
{
    return Py_BuildValue("O(On)", Py_TYPE(it), it->deque, Py_SIZE(it->deque) - it->counter);
}

static PyMethodDef dequeiter_methods[] = {
    {"__length_hint__", (PyCFunction)dequeiter_len, METH_NOARGS, length_hint_doc},
    {"__reduce__", (PyCFunction)dequeiter_reduce, METH_NOARGS, reduce_doc},
    {NULL,              NULL}           /* sentinel */
};

static PyTypeObject dequeiter_type = {
    PyVarObject_HEAD_INIT(NULL, 0)
    "_collections._deque_iterator",              /* tp_name */
    sizeof(dequeiterobject),                    /* tp_basicsize */
    0,                                          /* tp_itemsize */
    /* methods */
    (destructor)dequeiter_dealloc,              /* tp_dealloc */
    0,                                          /* tp_print */
    0,                                          /* tp_getattr */
    0,                                          /* tp_setattr */
    0,                                          /* tp_reserved */
    0,                                          /* tp_repr */
    0,                                          /* tp_as_number */
    0,                                          /* tp_as_sequence */
    0,                                          /* tp_as_mapping */
    0,                                          /* tp_hash */
    0,                                          /* tp_call */
    0,                                          /* tp_str */
    PyObject_GenericGetAttr,                    /* tp_getattro */
    0,                                          /* tp_setattro */
    0,                                          /* tp_as_buffer */
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,/* tp_flags */
    0,                                          /* tp_doc */
    (traverseproc)dequeiter_traverse,           /* tp_traverse */
    0,                                          /* tp_clear */
    0,                                          /* tp_richcompare */
    0,                                          /* tp_weaklistoffset */
    PyObject_SelfIter,                          /* tp_iter */
    (iternextfunc)dequeiter_next,               /* tp_iternext */
    dequeiter_methods,                          /* tp_methods */
    0,                                          /* tp_members */
    0,                                          /* tp_getset */
    0,                                          /* tp_base */
    0,                                          /* tp_dict */
    0,                                          /* tp_descr_get */
    0,                                          /* tp_descr_set */
    0,                                          /* tp_dictoffset */
    0,                                          /* tp_init */
    0,                                          /* tp_alloc */
    dequeiter_new,                              /* tp_new */
    0,
};

/*********************** Deque Reverse Iterator **************************/

static PyTypeObject dequereviter_type;

static PyObject *
deque_reviter(dequeobject *deque)
{
    dequeiterobject *it;

    it = PyObject_GC_New(dequeiterobject, &dequereviter_type);
    if (it == NULL)
        return NULL;
    it->b = deque->rightblock;
    it->index = deque->rightindex;
    Py_INCREF(deque);
    it->deque = deque;
    it->state = deque->state;
    it->counter = Py_SIZE(deque);
    PyObject_GC_Track(it);
    return (PyObject *)it;
}

static PyObject *
dequereviter_next(dequeiterobject *it)
{
    PyObject *item;
    if (it->counter == 0)
        return NULL;

    if (it->deque->state != it->state) {
        it->counter = 0;
        PyErr_SetString(PyExc_RuntimeError,
                        "deque mutated during iteration");
        return NULL;
    }
    assert (!(it->b == it->deque->leftblock &&
              it->index < it->deque->leftindex));

    item = it->b->data[it->index];
    it->index--;
    it->counter--;
    if (it->index == -1 && it->counter > 0) {
        CHECK_NOT_END(it->b->leftlink);
        it->b = it->b->leftlink;
        it->index = BLOCKLEN - 1;
    }
    Py_INCREF(item);
    return item;
}

static PyObject *
dequereviter_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
{
    Py_ssize_t i, index=0;
    PyObject *deque;
    dequeiterobject *it;
    if (!PyArg_ParseTuple(args, "O!|n", &deque_type, &deque, &index))
        return NULL;
    assert(type == &dequereviter_type);

    it = (dequeiterobject*)deque_reviter((dequeobject *)deque);
    if (!it)
        return NULL;
    /* consume items from the queue */
    for(i=0; i<index; i++) {
        PyObject *item = dequereviter_next(it);
        if (item) {
            Py_DECREF(item);
        } else {
            if (it->counter) {
                Py_DECREF(it);
                return NULL;
            } else
                break;
        }
    }
    return (PyObject*)it;
}

static PyTypeObject dequereviter_type = {
    PyVarObject_HEAD_INIT(NULL, 0)
    "_collections._deque_reverse_iterator",      /* tp_name */
    sizeof(dequeiterobject),                    /* tp_basicsize */
    0,                                          /* tp_itemsize */
    /* methods */
    (destructor)dequeiter_dealloc,              /* tp_dealloc */
    0,                                          /* tp_print */
    0,                                          /* tp_getattr */
    0,                                          /* tp_setattr */
    0,                                          /* tp_reserved */
    0,                                          /* tp_repr */
    0,                                          /* tp_as_number */
    0,                                          /* tp_as_sequence */
    0,                                          /* tp_as_mapping */
    0,                                          /* tp_hash */
    0,                                          /* tp_call */
    0,                                          /* tp_str */
    PyObject_GenericGetAttr,                    /* tp_getattro */
    0,                                          /* tp_setattro */
    0,                                          /* tp_as_buffer */
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,/* tp_flags */
    0,                                          /* tp_doc */
    (traverseproc)dequeiter_traverse,           /* tp_traverse */
    0,                                          /* tp_clear */
    0,                                          /* tp_richcompare */
    0,                                          /* tp_weaklistoffset */
    PyObject_SelfIter,                          /* tp_iter */
    (iternextfunc)dequereviter_next,            /* tp_iternext */
    dequeiter_methods,                          /* tp_methods */
    0,                                          /* tp_members */
    0,                                          /* tp_getset */
    0,                                          /* tp_base */
    0,                                          /* tp_dict */
    0,                                          /* tp_descr_get */
    0,                                          /* tp_descr_set */
    0,                                          /* tp_dictoffset */
    0,                                          /* tp_init */
    0,                                          /* tp_alloc */
    dequereviter_new,                           /* tp_new */
    0,
};

/* defaultdict type *********************************************************/

typedef struct {
    PyDictObject dict;
    PyObject *default_factory;
} defdictobject;

static PyTypeObject defdict_type; /* Forward */

PyDoc_STRVAR(defdict_missing_doc,
"__missing__(key) # Called by __getitem__ for missing key; pseudo-code:\n\
  if self.default_factory is None: raise KeyError((key,))\n\
  self[key] = value = self.default_factory()\n\
  return value\n\
");

static PyObject *
defdict_missing(defdictobject *dd, PyObject *key)
{
    PyObject *factory = dd->default_factory;
    PyObject *value;
    if (factory == NULL || factory == Py_None) {
        /* XXX Call dict.__missing__(key) */
        PyObject *tup;
        tup = PyTuple_Pack(1, key);
        if (!tup) return NULL;
        PyErr_SetObject(PyExc_KeyError, tup);
        Py_DECREF(tup);
        return NULL;
    }
    value = PyEval_CallObject(factory, NULL);
    if (value == NULL)
        return value;
    if (PyObject_SetItem((PyObject *)dd, key, value) < 0) {
        Py_DECREF(value);
        return NULL;
    }
    return value;
}

PyDoc_STRVAR(defdict_copy_doc, "D.copy() -> a shallow copy of D.");

static PyObject *
defdict_copy(defdictobject *dd)
{
    /* This calls the object's class.  That only works for subclasses
       whose class constructor has the same signature.  Subclasses that
       define a different constructor signature must override copy().
    */

    if (dd->default_factory == NULL)
        return PyObject_CallFunctionObjArgs((PyObject*)Py_TYPE(dd), Py_None, dd, NULL);
    return PyObject_CallFunctionObjArgs((PyObject*)Py_TYPE(dd),
                                        dd->default_factory, dd, NULL);
}

static PyObject *
defdict_reduce(defdictobject *dd)
{
    /* __reduce__ must return a 5-tuple as follows:

       - factory function
       - tuple of args for the factory function
       - additional state (here None)
       - sequence iterator (here None)
       - dictionary iterator (yielding successive (key, value) pairs

       This API is used by pickle.py and copy.py.

       For this to be useful with pickle.py, the default_factory
       must be picklable; e.g., None, a built-in, or a global
       function in a module or package.

       Both shallow and deep copying are supported, but for deep
       copying, the default_factory must be deep-copyable; e.g. None,
       or a built-in (functions are not copyable at this time).

       This only works for subclasses as long as their constructor
       signature is compatible; the first argument must be the
       optional default_factory, defaulting to None.
    */
    PyObject *args;
    PyObject *items;
    PyObject *iter;
    PyObject *result;
    _Py_IDENTIFIER(items);

    if (dd->default_factory == NULL || dd->default_factory == Py_None)
        args = PyTuple_New(0);
    else
        args = PyTuple_Pack(1, dd->default_factory);
    if (args == NULL)
        return NULL;
    items = _PyObject_CallMethodId((PyObject *)dd, &PyId_items, "()");
    if (items == NULL) {
        Py_DECREF(args);
        return NULL;
    }
    iter = PyObject_GetIter(items);
    if (iter == NULL) {
        Py_DECREF(items);
        Py_DECREF(args);
        return NULL;
    }
    result = PyTuple_Pack(5, Py_TYPE(dd), args,
                          Py_None, Py_None, iter);
    Py_DECREF(iter);
    Py_DECREF(items);
    Py_DECREF(args);
    return result;
}

static PyMethodDef defdict_methods[] = {
    {"__missing__", (PyCFunction)defdict_missing, METH_O,
     defdict_missing_doc},
    {"copy", (PyCFunction)defdict_copy, METH_NOARGS,
     defdict_copy_doc},
    {"__copy__", (PyCFunction)defdict_copy, METH_NOARGS,
     defdict_copy_doc},
    {"__reduce__", (PyCFunction)defdict_reduce, METH_NOARGS,
     reduce_doc},
    {NULL}
};

static PyMemberDef defdict_members[] = {
    {"default_factory", T_OBJECT,
     offsetof(defdictobject, default_factory), 0,
     PyDoc_STR("Factory for default value called by __missing__().")},
    {NULL}
};

static void
defdict_dealloc(defdictobject *dd)
{
    Py_CLEAR(dd->default_factory);
    PyDict_Type.tp_dealloc((PyObject *)dd);
}

static PyObject *
defdict_repr(defdictobject *dd)
{
    PyObject *baserepr;
    PyObject *defrepr;
    PyObject *result;
    baserepr = PyDict_Type.tp_repr((PyObject *)dd);
    if (baserepr == NULL)
        return NULL;
    if (dd->default_factory == NULL)
        defrepr = PyUnicode_FromString("None");
    else
    {
        int status = Py_ReprEnter(dd->default_factory);
        if (status != 0) {
            if (status < 0) {
                Py_DECREF(baserepr);
                return NULL;
            }
            defrepr = PyUnicode_FromString("...");
        }
        else
            defrepr = PyObject_Repr(dd->default_factory);
        Py_ReprLeave(dd->default_factory);
    }
    if (defrepr == NULL) {
        Py_DECREF(baserepr);
        return NULL;
    }
    result = PyUnicode_FromFormat("defaultdict(%U, %U)",
                                  defrepr, baserepr);
    Py_DECREF(defrepr);
    Py_DECREF(baserepr);
    return result;
}

static int
defdict_traverse(PyObject *self, visitproc visit, void *arg)
{
    Py_VISIT(((defdictobject *)self)->default_factory);
    return PyDict_Type.tp_traverse(self, visit, arg);
}

static int
defdict_tp_clear(defdictobject *dd)
{
    Py_CLEAR(dd->default_factory);
    return PyDict_Type.tp_clear((PyObject *)dd);
}

static int
defdict_init(PyObject *self, PyObject *args, PyObject *kwds)
{
    defdictobject *dd = (defdictobject *)self;
    PyObject *olddefault = dd->default_factory;
    PyObject *newdefault = NULL;
    PyObject *newargs;
    int result;
    if (args == NULL || !PyTuple_Check(args))
        newargs = PyTuple_New(0);
    else {
        Py_ssize_t n = PyTuple_GET_SIZE(args);
        if (n > 0) {
            newdefault = PyTuple_GET_ITEM(args, 0);
            if (!PyCallable_Check(newdefault) && newdefault != Py_None) {
                PyErr_SetString(PyExc_TypeError,
                    "first argument must be callable");
                return -1;
            }
        }
        newargs = PySequence_GetSlice(args, 1, n);
    }
    if (newargs == NULL)
        return -1;
    Py_XINCREF(newdefault);
    dd->default_factory = newdefault;
    result = PyDict_Type.tp_init(self, newargs, kwds);
    Py_DECREF(newargs);
    Py_XDECREF(olddefault);
    return result;
}

PyDoc_STRVAR(defdict_doc,
"defaultdict(default_factory[, ...]) --> dict with default factory\n\
\n\
The default factory is called without arguments to produce\n\
a new value when a key is not present, in __getitem__ only.\n\
A defaultdict compares equal to a dict with the same items.\n\
All remaining arguments are treated the same as if they were\n\
passed to the dict constructor, including keyword arguments.\n\
");

/* See comment in xxsubtype.c */
#define DEFERRED_ADDRESS(ADDR) 0

static PyTypeObject defdict_type = {
    PyVarObject_HEAD_INIT(DEFERRED_ADDRESS(&PyType_Type), 0)
    "collections.defaultdict",          /* tp_name */
    sizeof(defdictobject),              /* tp_basicsize */
    0,                                  /* tp_itemsize */
    /* methods */
    (destructor)defdict_dealloc,        /* tp_dealloc */
    0,                                  /* tp_print */
    0,                                  /* tp_getattr */
    0,                                  /* tp_setattr */
    0,                                  /* tp_reserved */
    (reprfunc)defdict_repr,             /* tp_repr */
    0,                                  /* tp_as_number */
    0,                                  /* tp_as_sequence */
    0,                                  /* tp_as_mapping */
    0,                                  /* tp_hash */
    0,                                  /* tp_call */
    0,                                  /* tp_str */
    PyObject_GenericGetAttr,            /* tp_getattro */
    0,                                  /* tp_setattro */
    0,                                  /* tp_as_buffer */
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_BASETYPE | Py_TPFLAGS_HAVE_GC,
                                    /* tp_flags */
    defdict_doc,                        /* tp_doc */
    defdict_traverse,                   /* tp_traverse */
    (inquiry)defdict_tp_clear,          /* tp_clear */
    0,                                  /* tp_richcompare */
    0,                                  /* tp_weaklistoffset*/
    0,                                  /* tp_iter */
    0,                                  /* tp_iternext */
    defdict_methods,                    /* tp_methods */
    defdict_members,                    /* tp_members */
    0,                                  /* tp_getset */
    DEFERRED_ADDRESS(&PyDict_Type),     /* tp_base */
    0,                                  /* tp_dict */
    0,                                  /* tp_descr_get */
    0,                                  /* tp_descr_set */
    0,                                  /* tp_dictoffset */
    defdict_init,                       /* tp_init */
    PyType_GenericAlloc,                /* tp_alloc */
    0,                                  /* tp_new */
    PyObject_GC_Del,                    /* tp_free */
};

/* helper function for Counter  *********************************************/

PyDoc_STRVAR(_count_elements_doc,
"_count_elements(mapping, iterable) -> None\n\
\n\
Count elements in the iterable, updating the mappping");

static PyObject *
_count_elements(PyObject *self, PyObject *args)
{
    _Py_IDENTIFIER(get);
    _Py_IDENTIFIER(__setitem__);
    PyObject *it, *iterable, *mapping, *oldval;
    PyObject *newval = NULL;
    PyObject *key = NULL;
    PyObject *zero = NULL;
    PyObject *one = NULL;
    PyObject *bound_get = NULL;
    PyObject *mapping_get;
    PyObject *dict_get;
    PyObject *mapping_setitem;
    PyObject *dict_setitem;

    if (!PyArg_UnpackTuple(args, "_count_elements", 2, 2, &mapping, &iterable))
        return NULL;

    it = PyObject_GetIter(iterable);
    if (it == NULL)
        return NULL;

    one = PyLong_FromLong(1);
    if (one == NULL)
        goto done;

    /* Only take the fast path when get() and __setitem__()
     * have not been overridden.
     */
    mapping_get = _PyType_LookupId(Py_TYPE(mapping), &PyId_get);
    dict_get = _PyType_LookupId(&PyDict_Type, &PyId_get);
    mapping_setitem = _PyType_LookupId(Py_TYPE(mapping), &PyId___setitem__);
    dict_setitem = _PyType_LookupId(&PyDict_Type, &PyId___setitem__);

    if (mapping_get != NULL && mapping_get == dict_get &&
        mapping_setitem != NULL && mapping_setitem == dict_setitem) {
        while (1) {
            /* Fast path advantages:
                   1. Eliminate double hashing
                      (by re-using the same hash for both the get and set)
                   2. Avoid argument overhead of PyObject_CallFunctionObjArgs
                      (argument tuple creation and parsing)
                   3. Avoid indirection through a bound method object
                      (creates another argument tuple)
                   4. Avoid initial increment from zero
                      (reuse an existing one-object instead)
            */
            Py_hash_t hash;

            key = PyIter_Next(it);
            if (key == NULL)
                break;

            if (!PyUnicode_CheckExact(key) ||
                (hash = ((PyASCIIObject *) key)->hash) == -1)
            {
                hash = PyObject_Hash(key);
                if (hash == -1) 
                    goto done;
            }

            oldval = _PyDict_GetItem_KnownHash(mapping, key, hash);
            if (oldval == NULL) {
                if (_PyDict_SetItem_KnownHash(mapping, key, one, hash) == -1)
                    goto done;
            } else {
                newval = PyNumber_Add(oldval, one);
                if (newval == NULL)
                    goto done;
                if (_PyDict_SetItem_KnownHash(mapping, key, newval, hash) == -1)
                    goto done;
                Py_CLEAR(newval);
            }
            Py_DECREF(key);
        }
    } else {
        bound_get = _PyObject_GetAttrId(mapping, &PyId_get);
        if (bound_get == NULL)
            goto done;

        zero = PyLong_FromLong(0);
        if (zero == NULL)
            goto done;

        while (1) {
            key = PyIter_Next(it);
            if (key == NULL)
                break;
            oldval = PyObject_CallFunctionObjArgs(bound_get, key, zero, NULL);
            if (oldval == NULL)
                break;
            newval = PyNumber_Add(oldval, one);
            Py_DECREF(oldval);
            if (newval == NULL)
                break;
            if (PyObject_SetItem(mapping, key, newval) == -1)
                break;
            Py_CLEAR(newval);
            Py_DECREF(key);
        }
    }

done:
    Py_DECREF(it);
    Py_XDECREF(key);
    Py_XDECREF(newval);
    Py_XDECREF(bound_get);
    Py_XDECREF(zero);
    Py_XDECREF(one);
    if (PyErr_Occurred())
        return NULL;
    Py_RETURN_NONE;
}

/* module level code ********************************************************/

PyDoc_STRVAR(module_doc,
"High performance data structures.\n\
- deque:        ordered collection accessible from endpoints only\n\
- defaultdict:  dict subclass with a default value factory\n\
");

static struct PyMethodDef module_functions[] = {
    {"_count_elements", _count_elements,    METH_VARARGS,   _count_elements_doc},
    {NULL,       NULL}          /* sentinel */
};

static struct PyModuleDef _collectionsmodule = {
    PyModuleDef_HEAD_INIT,
    "_collections",
    module_doc,
    -1,
    module_functions,
    NULL,
    NULL,
    NULL,
    NULL
};

PyMODINIT_FUNC
PyInit__collections(void)
{
    PyObject *m;

    m = PyModule_Create(&_collectionsmodule);
    if (m == NULL)
        return NULL;

    if (PyType_Ready(&deque_type) < 0)
        return NULL;
    Py_INCREF(&deque_type);
    PyModule_AddObject(m, "deque", (PyObject *)&deque_type);

    defdict_type.tp_base = &PyDict_Type;
    if (PyType_Ready(&defdict_type) < 0)
        return NULL;
    Py_INCREF(&defdict_type);
    PyModule_AddObject(m, "defaultdict", (PyObject *)&defdict_type);

    if (PyType_Ready(&dequeiter_type) < 0)
        return NULL;
    Py_INCREF(&dequeiter_type);
    PyModule_AddObject(m, "_deque_iterator", (PyObject *)&dequeiter_type);

    if (PyType_Ready(&dequereviter_type) < 0)
        return NULL;
    Py_INCREF(&dequereviter_type);
    PyModule_AddObject(m, "_deque_reverse_iterator", (PyObject *)&dequereviter_type);

    return m;
}