#include "Python.h"
#include "pycore_pymem.h"
#include "pycore_pystate.h"
#include "pycore_tupleobject.h"
#include "structmember.h"
#include "pycore_object.h" // _PyObject_GC_TRACK

/* _functools module written and maintained
 by Hye-Shik Chang <perky@FreeBSD.org>
 with adaptations by Raymond Hettinger <python@rcn.com>
 Copyright (c) 2004, 2005, 2006 Python Software Foundation.
 All rights reserved.
*/

/* partial object **********************************************************/

typedef struct {
 PyObject_HEAD
 PyObject *fn;
 PyObject *args;
 PyObject *kw;
 PyObject *dict;
 PyObject *weakreflist; /* List of weak references */
 int use_fastcall;
} partialobject;

static PyTypeObject partial_type;

static PyObject *
partial_new(PyTypeObject *type, PyObject *args, PyObject *kw)
{
 PyObject *func, *pargs, *nargs, *pkw;
 partialobject *pto;

 if (PyTuple_GET_SIZE(args) < 1) {
 PyErr_SetString(PyExc_TypeError,
 "type 'partial' takes at least one argument");
 return NULL;
 }

 pargs = pkw = NULL;
 func = PyTuple_GET_ITEM(args, 0);
 if (Py_TYPE(func) == &partial_type && type == &partial_type) {
 partialobject *part = (partialobject *)func;
 if (part->dict == NULL) {
 pargs = part->args;
 pkw = part->kw;
 func = part->fn;
 assert(PyTuple_Check(pargs));
 assert(PyDict_Check(pkw));
 }
 }
 if (!PyCallable_Check(func)) {
 PyErr_SetString(PyExc_TypeError,
 "the first argument must be callable");
 return NULL;
 }

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

 pto->fn = func;
 Py_INCREF(func);

 nargs = PyTuple_GetSlice(args, 1, PY_SSIZE_T_MAX);
 if (nargs == NULL) {
 Py_DECREF(pto);
 return NULL;
 }
 if (pargs == NULL) {
 pto->args = nargs;
 }
 else {
 pto->args = PySequence_Concat(pargs, nargs);
 Py_DECREF(nargs);
 if (pto->args == NULL) {
 Py_DECREF(pto);
 return NULL;
 }
 assert(PyTuple_Check(pto->args));
 }

 if (pkw == NULL || PyDict_GET_SIZE(pkw) == 0) {
 if (kw == NULL) {
 pto->kw = PyDict_New();
 }
 else if (Py_REFCNT(kw) == 1) {
 Py_INCREF(kw);
 pto->kw = kw;
 }
 else {
 pto->kw = PyDict_Copy(kw);
 }
 }
 else {
 pto->kw = PyDict_Copy(pkw);
 if (kw != NULL && pto->kw != NULL) {
 if (PyDict_Merge(pto->kw, kw, 1) != 0) {
 Py_DECREF(pto);
 return NULL;
 }
 }
 }
 if (pto->kw == NULL) {
 Py_DECREF(pto);
 return NULL;
 }

 pto->use_fastcall = (_PyVectorcall_Function(func) != NULL);

 return (PyObject *)pto;
}

static void
partial_dealloc(partialobject *pto)
{
 /* bpo-31095: UnTrack is needed before calling any callbacks */
 PyObject_GC_UnTrack(pto);
 if (pto->weakreflist != NULL)
 PyObject_ClearWeakRefs((PyObject *) pto);
 Py_XDECREF(pto->fn);
 Py_XDECREF(pto->args);
 Py_XDECREF(pto->kw);
 Py_XDECREF(pto->dict);
 Py_TYPE(pto)->tp_free(pto);
}

static PyObject *
partial_fastcall(partialobject *pto, PyObject **args, Py_ssize_t nargs,
 PyObject *kwargs)
{
 PyObject *small_stack[_PY_FASTCALL_SMALL_STACK];
 PyObject *ret;
 PyObject **stack, **stack_buf = NULL;
 Py_ssize_t nargs2, pto_nargs;

 pto_nargs = PyTuple_GET_SIZE(pto->args);
 nargs2 = pto_nargs + nargs;

 if (pto_nargs == 0) {
 stack = args;
 }
 else if (nargs == 0) {
 stack = _PyTuple_ITEMS(pto->args);
 }
 else {
 if (nargs2 <= (Py_ssize_t)Py_ARRAY_LENGTH(small_stack)) {
 stack = small_stack;
 }
 else {
 stack_buf = PyMem_Malloc(nargs2 * sizeof(PyObject *));
 if (stack_buf == NULL) {
 PyErr_NoMemory();
 return NULL;
 }
 stack = stack_buf;
 }

 /* use borrowed references */
 memcpy(stack,
 _PyTuple_ITEMS(pto->args),
 pto_nargs * sizeof(PyObject*));
 memcpy(&stack[pto_nargs],
 args,
 nargs * sizeof(PyObject*));
 }

 ret = _PyObject_FastCallDict(pto->fn, stack, nargs2, kwargs);
 PyMem_Free(stack_buf);
 return ret;
}

static PyObject *
partial_call_impl(partialobject *pto, PyObject *args, PyObject *kwargs)
{
 PyObject *ret, *args2;

 /* Note: tupleconcat() is optimized for empty tuples */
 args2 = PySequence_Concat(pto->args, args);
 if (args2 == NULL) {
 return NULL;
 }
 assert(PyTuple_Check(args2));

 ret = PyObject_Call(pto->fn, args2, kwargs);
 Py_DECREF(args2);
 return ret;
}

static PyObject *
partial_call(partialobject *pto, PyObject *args, PyObject *kwargs)
{
 PyObject *kwargs2, *res;

 assert (PyCallable_Check(pto->fn));
 assert (PyTuple_Check(pto->args));
 assert (PyDict_Check(pto->kw));

 if (PyDict_GET_SIZE(pto->kw) == 0) {
 /* kwargs can be NULL */
 kwargs2 = kwargs;
 Py_XINCREF(kwargs2);
 }
 else {
 /* bpo-27840, bpo-29318: dictionary of keyword parameters must be
 copied, because a function using "**kwargs" can modify the
 dictionary. */
 kwargs2 = PyDict_Copy(pto->kw);
 if (kwargs2 == NULL) {
 return NULL;
 }

 if (kwargs != NULL) {
 if (PyDict_Merge(kwargs2, kwargs, 1) != 0) {
 Py_DECREF(kwargs2);
 return NULL;
 }
 }
 }


 if (pto->use_fastcall) {
 res = partial_fastcall(pto,
 _PyTuple_ITEMS(args),
 PyTuple_GET_SIZE(args),
 kwargs2);
 }
 else {
 res = partial_call_impl(pto, args, kwargs2);
 }
 Py_XDECREF(kwargs2);
 return res;
}

static int
partial_traverse(partialobject *pto, visitproc visit, void *arg)
{
 Py_VISIT(pto->fn);
 Py_VISIT(pto->args);
 Py_VISIT(pto->kw);
 Py_VISIT(pto->dict);
 return 0;
}

PyDoc_STRVAR(partial_doc,
"partial(func, *args, **keywords) - new function with partial application\n\
 of the given arguments and keywords.\n");

#define OFF(x) offsetof(partialobject, x)
static PyMemberDef partial_memberlist[] = {
 {"func", T_OBJECT, OFF(fn), READONLY,
 "function object to use in future partial calls"},
 {"args", T_OBJECT, OFF(args), READONLY,
 "tuple of arguments to future partial calls"},
 {"keywords", T_OBJECT, OFF(kw), READONLY,
 "dictionary of keyword arguments to future partial calls"},
 {NULL} /* Sentinel */
};

static PyGetSetDef partial_getsetlist[] = {
 {"__dict__", PyObject_GenericGetDict, PyObject_GenericSetDict},
 {NULL} /* Sentinel */
};

static PyObject *
partial_repr(partialobject *pto)
{
 PyObject *result = NULL;
 PyObject *arglist;
 Py_ssize_t i, n;
 PyObject *key, *value;
 int status;

 status = Py_ReprEnter((PyObject *)pto);
 if (status != 0) {
 if (status < 0)
 return NULL;
 return PyUnicode_FromString("...");
 }

 arglist = PyUnicode_FromString("");
 if (arglist == NULL)
 goto done;
 /* Pack positional arguments */
 assert (PyTuple_Check(pto->args));
 n = PyTuple_GET_SIZE(pto->args);
 for (i = 0; i < n; i++) {
 Py_SETREF(arglist, PyUnicode_FromFormat("%U, %R", arglist,
 PyTuple_GET_ITEM(pto->args, i)));
 if (arglist == NULL)
 goto done;
 }
 /* Pack keyword arguments */
 assert (PyDict_Check(pto->kw));
 for (i = 0; PyDict_Next(pto->kw, &i, &key, &value);) {
 /* Prevent key.__str__ from deleting the value. */
 Py_INCREF(value);
 Py_SETREF(arglist, PyUnicode_FromFormat("%U, %S=%R", arglist,
 key, value));
 Py_DECREF(value);
 if (arglist == NULL)
 goto done;
 }
 result = PyUnicode_FromFormat("%s(%R%U)", Py_TYPE(pto)->tp_name,
 pto->fn, arglist);
 Py_DECREF(arglist);

 done:
 Py_ReprLeave((PyObject *)pto);
 return result;
}

/* Pickle strategy:
 __reduce__ by itself doesn't support getting kwargs in the unpickle
 operation so we define a __setstate__ that replaces all the information
 about the partial. If we only replaced part of it someone would use
 it as a hook to do strange things.
 */

static PyObject *
partial_reduce(partialobject *pto, PyObject *unused)
{
 return Py_BuildValue("O(O)(OOOO)", Py_TYPE(pto), pto->fn, pto->fn,
 pto->args, pto->kw,
 pto->dict ? pto->dict : Py_None);
}

static PyObject *
partial_setstate(partialobject *pto, PyObject *state)
{
 PyObject *fn, *fnargs, *kw, *dict;

 if (!PyTuple_Check(state) ||
 !PyArg_ParseTuple(state, "OOOO", &fn, &fnargs, &kw, &dict) ||
 !PyCallable_Check(fn) ||
 !PyTuple_Check(fnargs) ||
 (kw != Py_None && !PyDict_Check(kw)))
 {
 PyErr_SetString(PyExc_TypeError, "invalid partial state");
 return NULL;
 }

 if(!PyTuple_CheckExact(fnargs))
 fnargs = PySequence_Tuple(fnargs);
 else
 Py_INCREF(fnargs);
 if (fnargs == NULL)
 return NULL;

 if (kw == Py_None)
 kw = PyDict_New();
 else if(!PyDict_CheckExact(kw))
 kw = PyDict_Copy(kw);
 else
 Py_INCREF(kw);
 if (kw == NULL) {
 Py_DECREF(fnargs);
 return NULL;
 }

 if (dict == Py_None)
 dict = NULL;
 else
 Py_INCREF(dict);

 Py_INCREF(fn);
 pto->use_fastcall = (_PyVectorcall_Function(fn) != NULL);
 Py_SETREF(pto->fn, fn);
 Py_SETREF(pto->args, fnargs);
 Py_SETREF(pto->kw, kw);
 Py_XSETREF(pto->dict, dict);
 Py_RETURN_NONE;
}

static PyMethodDef partial_methods[] = {
 {"__reduce__", (PyCFunction)partial_reduce, METH_NOARGS},
 {"__setstate__", (PyCFunction)partial_setstate, METH_O},
 {NULL, NULL} /* sentinel */
};

static PyTypeObject partial_type = {
 PyVarObject_HEAD_INIT(NULL, 0)
 "functools.partial", /* tp_name */
 sizeof(partialobject), /* tp_basicsize */
 0, /* tp_itemsize */
 /* methods */
 (destructor)partial_dealloc, /* tp_dealloc */
 0, /* tp_vectorcall_offset */
 0, /* tp_getattr */
 0, /* tp_setattr */
 0, /* tp_as_async */
 (reprfunc)partial_repr, /* tp_repr */
 0, /* tp_as_number */
 0, /* tp_as_sequence */
 0, /* tp_as_mapping */
 0, /* tp_hash */
 (ternaryfunc)partial_call, /* tp_call */
 0, /* tp_str */
 PyObject_GenericGetAttr, /* tp_getattro */
 PyObject_GenericSetAttr, /* tp_setattro */
 0, /* tp_as_buffer */
 Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC |
 Py_TPFLAGS_BASETYPE, /* tp_flags */
 partial_doc, /* tp_doc */
 (traverseproc)partial_traverse, /* tp_traverse */
 0, /* tp_clear */
 0, /* tp_richcompare */
 offsetof(partialobject, weakreflist), /* tp_weaklistoffset */
 0, /* tp_iter */
 0, /* tp_iternext */
 partial_methods, /* tp_methods */
 partial_memberlist, /* tp_members */
 partial_getsetlist, /* tp_getset */
 0, /* tp_base */
 0, /* tp_dict */
 0, /* tp_descr_get */
 0, /* tp_descr_set */
 offsetof(partialobject, dict), /* tp_dictoffset */
 0, /* tp_init */
 0, /* tp_alloc */
 partial_new, /* tp_new */
 PyObject_GC_Del, /* tp_free */
};


/* cmp_to_key ***************************************************************/

typedef struct {
 PyObject_HEAD
 PyObject *cmp;
 PyObject *object;
} keyobject;

static void
keyobject_dealloc(keyobject *ko)
{
 Py_DECREF(ko->cmp);
 Py_XDECREF(ko->object);
 PyObject_FREE(ko);
}

static int
keyobject_traverse(keyobject *ko, visitproc visit, void *arg)
{
 Py_VISIT(ko->cmp);
 if (ko->object)
 Py_VISIT(ko->object);
 return 0;
}

static int
keyobject_clear(keyobject *ko)
{
 Py_CLEAR(ko->cmp);
 if (ko->object)
 Py_CLEAR(ko->object);
 return 0;
}

static PyMemberDef keyobject_members[] = {
 {"obj", T_OBJECT,
 offsetof(keyobject, object), 0,
 PyDoc_STR("Value wrapped by a key function.")},
 {NULL}
};

static PyObject *
keyobject_call(keyobject *ko, PyObject *args, PyObject *kwds);

static PyObject *
keyobject_richcompare(PyObject *ko, PyObject *other, int op);

static PyTypeObject keyobject_type = {
 PyVarObject_HEAD_INIT(&PyType_Type, 0)
 "functools.KeyWrapper", /* tp_name */
 sizeof(keyobject), /* tp_basicsize */
 0, /* tp_itemsize */
 /* methods */
 (destructor)keyobject_dealloc, /* tp_dealloc */
 0, /* tp_vectorcall_offset */
 0, /* tp_getattr */
 0, /* tp_setattr */
 0, /* tp_as_async */
 0, /* tp_repr */
 0, /* tp_as_number */
 0, /* tp_as_sequence */
 0, /* tp_as_mapping */
 0, /* tp_hash */
 (ternaryfunc)keyobject_call, /* tp_call */
 0, /* tp_str */
 PyObject_GenericGetAttr, /* tp_getattro */
 0, /* tp_setattro */
 0, /* tp_as_buffer */
 Py_TPFLAGS_DEFAULT, /* tp_flags */
 0, /* tp_doc */
 (traverseproc)keyobject_traverse, /* tp_traverse */
 (inquiry)keyobject_clear, /* tp_clear */
 keyobject_richcompare, /* tp_richcompare */
 0, /* tp_weaklistoffset */
 0, /* tp_iter */
 0, /* tp_iternext */
 0, /* tp_methods */
 keyobject_members, /* tp_members */
 0, /* tp_getset */
};

static PyObject *
keyobject_call(keyobject *ko, PyObject *args, PyObject *kwds)
{
 PyObject *object;
 keyobject *result;
 static char *kwargs[] = {"obj", NULL};

 if (!PyArg_ParseTupleAndKeywords(args, kwds, "O:K", kwargs, &object))
 return NULL;
 result = PyObject_New(keyobject, &keyobject_type);
 if (!result)
 return NULL;
 Py_INCREF(ko->cmp);
 result->cmp = ko->cmp;
 Py_INCREF(object);
 result->object = object;
 return (PyObject *)result;
}

static PyObject *
keyobject_richcompare(PyObject *ko, PyObject *other, int op)
{
 PyObject *res;
 PyObject *x;
 PyObject *y;
 PyObject *compare;
 PyObject *answer;
 PyObject* stack[2];

 if (Py_TYPE(other) != &keyobject_type){
 PyErr_Format(PyExc_TypeError, "other argument must be K instance");
 return NULL;
 }
 compare = ((keyobject *) ko)->cmp;
 assert(compare != NULL);
 x = ((keyobject *) ko)->object;
 y = ((keyobject *) other)->object;
 if (!x || !y){
 PyErr_Format(PyExc_AttributeError, "object");
 return NULL;
 }

 /* Call the user's comparison function and translate the 3-way
 * result into true or false (or error).
 */
 stack[0] = x;
 stack[1] = y;
 res = _PyObject_FastCall(compare, stack, 2);
 if (res == NULL) {
 return NULL;
 }

 answer = PyObject_RichCompare(res, _PyLong_Zero, op);
 Py_DECREF(res);
 return answer;
}

static PyObject *
functools_cmp_to_key(PyObject *self, PyObject *args, PyObject *kwds)
{
 PyObject *cmp;
 static char *kwargs[] = {"mycmp", NULL};
 keyobject *object;

 if (!PyArg_ParseTupleAndKeywords(args, kwds, "O:cmp_to_key", kwargs, &cmp))
 return NULL;
 object = PyObject_New(keyobject, &keyobject_type);
 if (!object)
 return NULL;
 Py_INCREF(cmp);
 object->cmp = cmp;
 object->object = NULL;
 return (PyObject *)object;
}

PyDoc_STRVAR(functools_cmp_to_key_doc,
"Convert a cmp= function into a key= function.");

/* reduce (used to be a builtin) ********************************************/

static PyObject *
functools_reduce(PyObject *self, PyObject *args)
{
 PyObject *seq, *func, *result = NULL, *it;

 if (!PyArg_UnpackTuple(args, "reduce", 2, 3, &func, &seq, &result))
 return NULL;
 if (result != NULL)
 Py_INCREF(result);

 it = PyObject_GetIter(seq);
 if (it == NULL) {
 if (PyErr_ExceptionMatches(PyExc_TypeError))
 PyErr_SetString(PyExc_TypeError,
 "reduce() arg 2 must support iteration");
 Py_XDECREF(result);
 return NULL;
 }

 if ((args = PyTuple_New(2)) == NULL)
 goto Fail;

 for (;;) {
 PyObject *op2;

 if (args->ob_refcnt > 1) {
 Py_DECREF(args);
 if ((args = PyTuple_New(2)) == NULL)
 goto Fail;
 }

 op2 = PyIter_Next(it);
 if (op2 == NULL) {
 if (PyErr_Occurred())
 goto Fail;
 break;
 }

 if (result == NULL)
 result = op2;
 else {
 /* Update the args tuple in-place */
 assert(args->ob_refcnt == 1);
 Py_XSETREF(_PyTuple_ITEMS(args)[0], result);
 Py_XSETREF(_PyTuple_ITEMS(args)[1], op2);
 if ((result = PyObject_Call(func, args, NULL)) == NULL) {
 goto Fail;
 }
 // bpo-42536: The GC may have untracked this args tuple. Since we're
 // recycling it, make sure it's tracked again:
 if (!_PyObject_GC_IS_TRACKED(args)) {
 _PyObject_GC_TRACK(args);
 }
 }
 }

 Py_DECREF(args);

 if (result == NULL)
 PyErr_SetString(PyExc_TypeError,
 "reduce() of empty sequence with no initial value");

 Py_DECREF(it);
 return result;

Fail:
 Py_XDECREF(args);
 Py_XDECREF(result);
 Py_DECREF(it);
 return NULL;
}

PyDoc_STRVAR(functools_reduce_doc,
"reduce(function, sequence[, initial]) -> value\n\
\n\
Apply a function of two arguments cumulatively to the items of a sequence,\n\
from left to right, so as to reduce the sequence to a single value.\n\
For example, reduce(lambda x, y: x+y, [1, 2, 3, 4, 5]) calculates\n\
((((1+2)+3)+4)+5). If initial is present, it is placed before the items\n\
of the sequence in the calculation, and serves as a default when the\n\
sequence is empty.");

/* lru_cache object **********************************************************/

/* There are four principal algorithmic differences from the pure python version:

 1). The C version relies on the GIL instead of having its own reentrant lock.

 2). The prev/next link fields use borrowed references.

 3). For a full cache, the pure python version rotates the location of the
 root entry so that it never has to move individual links and it can
 limit updates to just the key and result fields. However, in the C
 version, links are temporarily removed while the cache dict updates are
 occurring. Afterwards, they are appended or prepended back into the
 doubly-linked lists.

 4) In the Python version, the _HashSeq class is used to prevent __hash__
 from being called more than once. In the C version, the "known hash"
 variants of dictionary calls as used to the same effect.

*/


/* this object is used delimit args and keywords in the cache keys */
static PyObject *kwd_mark = NULL;

struct lru_list_elem;
struct lru_cache_object;

typedef struct lru_list_elem {
 PyObject_HEAD
 struct lru_list_elem *prev, *next; /* borrowed links */
 Py_hash_t hash;
 PyObject *key, *result;
} lru_list_elem;

static void
lru_list_elem_dealloc(lru_list_elem *link)
{
 Py_XDECREF(link->key);
 Py_XDECREF(link->result);
 PyObject_Del(link);
}

static PyTypeObject lru_list_elem_type = {
 PyVarObject_HEAD_INIT(&PyType_Type, 0)
 "functools._lru_list_elem", /* tp_name */
 sizeof(lru_list_elem), /* tp_basicsize */
 0, /* tp_itemsize */
 /* methods */
 (destructor)lru_list_elem_dealloc, /* tp_dealloc */
 0, /* tp_vectorcall_offset */
 0, /* tp_getattr */
 0, /* tp_setattr */
 0, /* tp_as_async */
 0, /* tp_repr */
 0, /* tp_as_number */
 0, /* tp_as_sequence */
 0, /* tp_as_mapping */
 0, /* tp_hash */
 0, /* tp_call */
 0, /* tp_str */
 0, /* tp_getattro */
 0, /* tp_setattro */
 0, /* tp_as_buffer */
 Py_TPFLAGS_DEFAULT, /* tp_flags */
};


typedef PyObject *(*lru_cache_ternaryfunc)(struct lru_cache_object *, PyObject *, PyObject *);

typedef struct lru_cache_object {
 lru_list_elem root; /* includes PyObject_HEAD */
 lru_cache_ternaryfunc wrapper;
 int typed;
 PyObject *cache;
 Py_ssize_t hits;
 PyObject *func;
 Py_ssize_t maxsize;
 Py_ssize_t misses;
 PyObject *cache_info_type;
 PyObject *dict;
} lru_cache_object;

static PyTypeObject lru_cache_type;

static PyObject *
lru_cache_make_key(PyObject *args, PyObject *kwds, int typed)
{
 PyObject *key, *keyword, *value;
 Py_ssize_t key_size, pos, key_pos, kwds_size;

 kwds_size = kwds ? PyDict_GET_SIZE(kwds) : 0;

 /* short path, key will match args anyway, which is a tuple */
 if (!typed && !kwds_size) {
 if (PyTuple_GET_SIZE(args) == 1) {
 key = PyTuple_GET_ITEM(args, 0);
 if (PyUnicode_CheckExact(key) || PyLong_CheckExact(key)) {
 /* For common scalar keys, save space by
 dropping the enclosing args tuple */
 Py_INCREF(key);
 return key;
 }
 }
 Py_INCREF(args);
 return args;
 }

 key_size = PyTuple_GET_SIZE(args);
 if (kwds_size)
 key_size += kwds_size * 2 + 1;
 if (typed)
 key_size += PyTuple_GET_SIZE(args) + kwds_size;

 key = PyTuple_New(key_size);
 if (key == NULL)
 return NULL;

 key_pos = 0;
 for (pos = 0; pos < PyTuple_GET_SIZE(args); ++pos) {
 PyObject *item = PyTuple_GET_ITEM(args, pos);
 Py_INCREF(item);
 PyTuple_SET_ITEM(key, key_pos++, item);
 }
 if (kwds_size) {
 Py_INCREF(kwd_mark);
 PyTuple_SET_ITEM(key, key_pos++, kwd_mark);
 for (pos = 0; PyDict_Next(kwds, &pos, &keyword, &value);) {
 Py_INCREF(keyword);
 PyTuple_SET_ITEM(key, key_pos++, keyword);
 Py_INCREF(value);
 PyTuple_SET_ITEM(key, key_pos++, value);
 }
 assert(key_pos == PyTuple_GET_SIZE(args) + kwds_size * 2 + 1);
 }
 if (typed) {
 for (pos = 0; pos < PyTuple_GET_SIZE(args); ++pos) {
 PyObject *item = (PyObject *)Py_TYPE(PyTuple_GET_ITEM(args, pos));
 Py_INCREF(item);
 PyTuple_SET_ITEM(key, key_pos++, item);
 }
 if (kwds_size) {
 for (pos = 0; PyDict_Next(kwds, &pos, &keyword, &value);) {
 PyObject *item = (PyObject *)Py_TYPE(value);
 Py_INCREF(item);
 PyTuple_SET_ITEM(key, key_pos++, item);
 }
 }
 }
 assert(key_pos == key_size);
 return key;
}

static PyObject *
uncached_lru_cache_wrapper(lru_cache_object *self, PyObject *args, PyObject *kwds)
{
 PyObject *result;

 self->misses++;
 result = PyObject_Call(self->func, args, kwds);
 if (!result)
 return NULL;
 return result;
}

static PyObject *
infinite_lru_cache_wrapper(lru_cache_object *self, PyObject *args, PyObject *kwds)
{
 PyObject *result;
 Py_hash_t hash;
 PyObject *key = lru_cache_make_key(args, kwds, self->typed);
 if (!key)
 return NULL;
 hash = PyObject_Hash(key);
 if (hash == -1) {
 Py_DECREF(key);
 return NULL;
 }
 result = _PyDict_GetItem_KnownHash(self->cache, key, hash);
 if (result) {
 Py_INCREF(result);
 self->hits++;
 Py_DECREF(key);
 return result;
 }
 if (PyErr_Occurred()) {
 Py_DECREF(key);
 return NULL;
 }
 self->misses++;
 result = PyObject_Call(self->func, args, kwds);
 if (!result) {
 Py_DECREF(key);
 return NULL;
 }
 if (_PyDict_SetItem_KnownHash(self->cache, key, result, hash) < 0) {
 Py_DECREF(result);
 Py_DECREF(key);
 return NULL;
 }
 Py_DECREF(key);
 return result;
}

static void
lru_cache_extract_link(lru_list_elem *link)
{
 lru_list_elem *link_prev = link->prev;
 lru_list_elem *link_next = link->next;
 link_prev->next = link->next;
 link_next->prev = link->prev;
}

static void
lru_cache_append_link(lru_cache_object *self, lru_list_elem *link)
{
 lru_list_elem *root = &self->root;
 lru_list_elem *last = root->prev;
 last->next = root->prev = link;
 link->prev = last;
 link->next = root;
}

static void
lru_cache_prepend_link(lru_cache_object *self, lru_list_elem *link)
{
 lru_list_elem *root = &self->root;
 lru_list_elem *first = root->next;
 first->prev = root->next = link;
 link->prev = root;
 link->next = first;
}

/* General note on reentrancy:

 There are four dictionary calls in the bounded_lru_cache_wrapper():
 1) The initial check for a cache match. 2) The post user-function
 check for a cache match. 3) The deletion of the oldest entry.
 4) The addition of the newest entry.

 In all four calls, we have a known hash which lets use avoid a call
 to __hash__(). That leaves only __eq__ as a possible source of a
 reentrant call.

 The __eq__ method call is always made for a cache hit (dict access #1).
 Accordingly, we have make sure not modify the cache state prior to
 this call.

 The __eq__ method call is never made for the deletion (dict access #3)
 because it is an identity match.

 For the other two accesses (#2 and #4), calls to __eq__ only occur
 when some other entry happens to have an exactly matching hash (all
 64-bits). Though rare, this can happen, so we have to make sure to
 either call it at the top of its code path before any cache
 state modifications (dict access #2) or be prepared to restore
 invariants at the end of the code path (dict access #4).

 Another possible source of reentrancy is a decref which can trigger
 arbitrary code execution. To make the code easier to reason about,
 the decrefs are deferred to the end of the each possible code path
 so that we know the cache is a consistent state.
 */

static PyObject *
bounded_lru_cache_wrapper(lru_cache_object *self, PyObject *args, PyObject *kwds)
{
 lru_list_elem *link;
 PyObject *key, *result, *testresult;
 Py_hash_t hash;

 key = lru_cache_make_key(args, kwds, self->typed);
 if (!key)
 return NULL;
 hash = PyObject_Hash(key);
 if (hash == -1) {
 Py_DECREF(key);
 return NULL;
 }
 link = (lru_list_elem *)_PyDict_GetItem_KnownHash(self->cache, key, hash);
 if (link != NULL) {
 lru_cache_extract_link(link);
 lru_cache_append_link(self, link);
 result = link->result;
 self->hits++;
 Py_INCREF(result);
 Py_DECREF(key);
 return result;
 }
 if (PyErr_Occurred()) {
 Py_DECREF(key);
 return NULL;
 }
 self->misses++;
 result = PyObject_Call(self->func, args, kwds);
 if (!result) {
 Py_DECREF(key);
 return NULL;
 }
 testresult = _PyDict_GetItem_KnownHash(self->cache, key, hash);
 if (testresult != NULL) {
 /* Getting here means that this same key was added to the cache
 during the PyObject_Call(). Since the link update is already
 done, we need only return the computed result. */
 Py_DECREF(key);
 return result;
 }
 if (PyErr_Occurred()) {
 /* This is an unusual case since this same lookup
 did not previously trigger an error during lookup.
 Treat it the same as an error in user function
 and return with the error set. */
 Py_DECREF(key);
 Py_DECREF(result);
 return NULL;
 }
 /* This is the normal case. The new key wasn't found before
 user function call and it is still not there. So we
 proceed normally and update the cache with the new result. */

 assert(self->maxsize > 0);
 if (PyDict_GET_SIZE(self->cache) < self->maxsize ||
 self->root.next == &self->root)
 {
 /* Cache is not full, so put the result in a new link */
 link = (lru_list_elem *)PyObject_New(lru_list_elem,
 &lru_list_elem_type);
 if (link == NULL) {
 Py_DECREF(key);
 Py_DECREF(result);
 return NULL;
 }

 link->hash = hash;
 link->key = key;
 link->result = result;
 /* What is really needed here is a SetItem variant with a "no clobber"
 option. If the __eq__ call triggers a reentrant call that adds
 this same key, then this setitem call will update the cache dict
 with this new link, leaving the old link as an orphan (i.e. not
 having a cache dict entry that refers to it). */
 if (_PyDict_SetItem_KnownHash(self->cache, key, (PyObject *)link,
 hash) < 0) {
 Py_DECREF(link);
 return NULL;
 }
 lru_cache_append_link(self, link);
 Py_INCREF(result); /* for return */
 return result;
 }
 /* Since the cache is full, we need to evict an old key and add
 a new key. Rather than free the old link and allocate a new
 one, we reuse the link for the new key and result and move it
 to front of the cache to mark it as recently used.

 We try to assure all code paths (including errors) leave all
 of the links in place. Either the link is successfully
 updated and moved or it is restored to its old position.
 However if an unrecoverable error is found, it doesn't
 make sense to reinsert the link, so we leave it out
 and the cache will no longer register as full.
 */
 PyObject *oldkey, *oldresult, *popresult;

 /* Extract the oldest item. */
 assert(self->root.next != &self->root);
 link = self->root.next;
 lru_cache_extract_link(link);
 /* Remove it from the cache.
 The cache dict holds one reference to the link.
 We created one other reference when the link was created.
 The linked list only has borrowed references. */
 popresult = _PyDict_Pop_KnownHash(self->cache, link->key,
 link->hash, Py_None);
 if (popresult == Py_None) {
 /* Getting here means that the user function call or another
 thread has already removed the old key from the dictionary.
 This link is now an orphan. Since we don't want to leave the
 cache in an inconsistent state, we don't restore the link. */
 Py_DECREF(popresult);
 Py_DECREF(link);
 Py_DECREF(key);
 return result;
 }
 if (popresult == NULL) {
 /* An error arose while trying to remove the oldest key (the one
 being evicted) from the cache. We restore the link to its
 original position as the oldest link. Then we allow the
 error propagate upward; treating it the same as an error
 arising in the user function. */
 lru_cache_prepend_link(self, link);
 Py_DECREF(key);
 Py_DECREF(result);
 return NULL;
 }
 /* Keep a reference to the old key and old result to prevent their
 ref counts from going to zero during the update. That will
 prevent potentially arbitrary object clean-up code (i.e. __del__)
 from running while we're still adjusting the links. */
 oldkey = link->key;
 oldresult = link->result;

 link->hash = hash;
 link->key = key;
 link->result = result;
 /* Note: The link is being added to the cache dict without the
 prev and next fields set to valid values. We have to wait
 for successful insertion in the cache dict before adding the
 link to the linked list. Otherwise, the potentially reentrant
 __eq__ call could cause the then orphan link to be visited. */
 if (_PyDict_SetItem_KnownHash(self->cache, key, (PyObject *)link,
 hash) < 0) {
 /* Somehow the cache dict update failed. We no longer can
 restore the old link. Let the error propagate upward and
 leave the cache short one link. */
 Py_DECREF(popresult);
 Py_DECREF(link);
 Py_DECREF(oldkey);
 Py_DECREF(oldresult);
 return NULL;
 }
 lru_cache_append_link(self, link);
 Py_INCREF(result); /* for return */
 Py_DECREF(popresult);
 Py_DECREF(oldkey);
 Py_DECREF(oldresult);
 return result;
}

static PyObject *
lru_cache_new(PyTypeObject *type, PyObject *args, PyObject *kw)
{
 PyObject *func, *maxsize_O, *cache_info_type, *cachedict;
 int typed;
 lru_cache_object *obj;
 Py_ssize_t maxsize;
 PyObject *(*wrapper)(lru_cache_object *, PyObject *, PyObject *);
 static char *keywords[] = {"user_function", "maxsize", "typed",
 "cache_info_type", NULL};

 if (!PyArg_ParseTupleAndKeywords(args, kw, "OOpO:lru_cache", keywords,
 &func, &maxsize_O, &typed,
 &cache_info_type)) {
 return NULL;
 }

 if (!PyCallable_Check(func)) {
 PyErr_SetString(PyExc_TypeError,
 "the first argument must be callable");
 return NULL;
 }

 /* select the caching function, and make/inc maxsize_O */
 if (maxsize_O == Py_None) {
 wrapper = infinite_lru_cache_wrapper;
 /* use this only to initialize lru_cache_object attribute maxsize */
 maxsize = -1;
 } else if (PyIndex_Check(maxsize_O)) {
 maxsize = PyNumber_AsSsize_t(maxsize_O, PyExc_OverflowError);
 if (maxsize == -1 && PyErr_Occurred())
 return NULL;
 if (maxsize < 0) {
 maxsize = 0;
 }
 if (maxsize == 0)
 wrapper = uncached_lru_cache_wrapper;
 else
 wrapper = bounded_lru_cache_wrapper;
 } else {
 PyErr_SetString(PyExc_TypeError, "maxsize should be integer or None");
 return NULL;
 }

 if (!(cachedict = PyDict_New()))
 return NULL;

 obj = (lru_cache_object *)type->tp_alloc(type, 0);
 if (obj == NULL) {
 Py_DECREF(cachedict);
 return NULL;
 }

 obj->root.prev = &obj->root;
 obj->root.next = &obj->root;
 obj->wrapper = wrapper;
 obj->typed = typed;
 obj->cache = cachedict;
 Py_INCREF(func);
 obj->func = func;
 obj->misses = obj->hits = 0;
 obj->maxsize = maxsize;
 Py_INCREF(cache_info_type);
 obj->cache_info_type = cache_info_type;
 return (PyObject *)obj;
}

static lru_list_elem *
lru_cache_unlink_list(lru_cache_object *self)
{
 lru_list_elem *root = &self->root;
 lru_list_elem *link = root->next;
 if (link == root)
 return NULL;
 root->prev->next = NULL;
 root->next = root->prev = root;
 return link;
}

static void
lru_cache_clear_list(lru_list_elem *link)
{
 while (link != NULL) {
 lru_list_elem *next = link->next;
 Py_DECREF(link);
 link = next;
 }
}

static void
lru_cache_dealloc(lru_cache_object *obj)
{
 lru_list_elem *list;
 /* bpo-31095: UnTrack is needed before calling any callbacks */
 PyObject_GC_UnTrack(obj);

 list = lru_cache_unlink_list(obj);
 Py_XDECREF(obj->cache);
 Py_XDECREF(obj->func);
 Py_XDECREF(obj->cache_info_type);
 Py_XDECREF(obj->dict);
 lru_cache_clear_list(list);
 Py_TYPE(obj)->tp_free(obj);
}

static PyObject *
lru_cache_call(lru_cache_object *self, PyObject *args, PyObject *kwds)
{
 return self->wrapper(self, args, kwds);
}

static PyObject *
lru_cache_descr_get(PyObject *self, PyObject *obj, PyObject *type)
{
 if (obj == Py_None || obj == NULL) {
 Py_INCREF(self);
 return self;
 }
 return PyMethod_New(self, obj);
}

static PyObject *
lru_cache_cache_info(lru_cache_object *self, PyObject *unused)
{
 if (self->maxsize == -1) {
 return PyObject_CallFunction(self->cache_info_type, "nnOn",
 self->hits, self->misses, Py_None,
 PyDict_GET_SIZE(self->cache));
 }
 return PyObject_CallFunction(self->cache_info_type, "nnnn",
 self->hits, self->misses, self->maxsize,
 PyDict_GET_SIZE(self->cache));
}

static PyObject *
lru_cache_cache_clear(lru_cache_object *self, PyObject *unused)
{
 lru_list_elem *list = lru_cache_unlink_list(self);
 self->hits = self->misses = 0;
 PyDict_Clear(self->cache);
 lru_cache_clear_list(list);
 Py_RETURN_NONE;
}

static PyObject *
lru_cache_reduce(PyObject *self, PyObject *unused)
{
 return PyObject_GetAttrString(self, "__qualname__");
}

static PyObject *
lru_cache_copy(PyObject *self, PyObject *unused)
{
 Py_INCREF(self);
 return self;
}

static PyObject *
lru_cache_deepcopy(PyObject *self, PyObject *unused)
{
 Py_INCREF(self);
 return self;
}

static int
lru_cache_tp_traverse(lru_cache_object *self, visitproc visit, void *arg)
{
 lru_list_elem *link = self->root.next;
 while (link != &self->root) {
 lru_list_elem *next = link->next;
 Py_VISIT(link->key);
 Py_VISIT(link->result);
 link = next;
 }
 Py_VISIT(self->func);
 Py_VISIT(self->cache);
 Py_VISIT(self->cache_info_type);
 Py_VISIT(self->dict);
 return 0;
}

static int
lru_cache_tp_clear(lru_cache_object *self)
{
 lru_list_elem *list = lru_cache_unlink_list(self);
 Py_CLEAR(self->func);
 Py_CLEAR(self->cache);
 Py_CLEAR(self->cache_info_type);
 Py_CLEAR(self->dict);
 lru_cache_clear_list(list);
 return 0;
}


PyDoc_STRVAR(lru_cache_doc,
"Create a cached callable that wraps another function.\n\
\n\
user_function: the function being cached\n\
\n\
maxsize: 0 for no caching\n\
 None for unlimited cache size\n\
 n for a bounded cache\n\
\n\
typed: False cache f(3) and f(3.0) as identical calls\n\
 True cache f(3) and f(3.0) as distinct calls\n\
\n\
cache_info_type: namedtuple class with the fields:\n\
 hits misses currsize maxsize\n"
);

static PyMethodDef lru_cache_methods[] = {
 {"cache_info", (PyCFunction)lru_cache_cache_info, METH_NOARGS},
 {"cache_clear", (PyCFunction)lru_cache_cache_clear, METH_NOARGS},
 {"__reduce__", (PyCFunction)lru_cache_reduce, METH_NOARGS},
 {"__copy__", (PyCFunction)lru_cache_copy, METH_VARARGS},
 {"__deepcopy__", (PyCFunction)lru_cache_deepcopy, METH_VARARGS},
 {NULL}
};

static PyGetSetDef lru_cache_getsetlist[] = {
 {"__dict__", PyObject_GenericGetDict, PyObject_GenericSetDict},
 {NULL}
};

static PyTypeObject lru_cache_type = {
 PyVarObject_HEAD_INIT(NULL, 0)
 "functools._lru_cache_wrapper", /* tp_name */
 sizeof(lru_cache_object), /* tp_basicsize */
 0, /* tp_itemsize */
 /* methods */
 (destructor)lru_cache_dealloc, /* tp_dealloc */
 0, /* tp_vectorcall_offset */
 0, /* tp_getattr */
 0, /* tp_setattr */
 0, /* tp_as_async */
 0, /* tp_repr */
 0, /* tp_as_number */
 0, /* tp_as_sequence */
 0, /* tp_as_mapping */
 0, /* tp_hash */
 (ternaryfunc)lru_cache_call, /* tp_call */
 0, /* tp_str */
 0, /* tp_getattro */
 0, /* tp_setattro */
 0, /* tp_as_buffer */
 Py_TPFLAGS_DEFAULT | Py_TPFLAGS_BASETYPE |
 Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_METHOD_DESCRIPTOR,
 /* tp_flags */
 lru_cache_doc, /* tp_doc */
 (traverseproc)lru_cache_tp_traverse,/* tp_traverse */
 (inquiry)lru_cache_tp_clear, /* tp_clear */
 0, /* tp_richcompare */
 0, /* tp_weaklistoffset */
 0, /* tp_iter */
 0, /* tp_iternext */
 lru_cache_methods, /* tp_methods */
 0, /* tp_members */
 lru_cache_getsetlist, /* tp_getset */
 0, /* tp_base */
 0, /* tp_dict */
 lru_cache_descr_get, /* tp_descr_get */
 0, /* tp_descr_set */
 offsetof(lru_cache_object, dict), /* tp_dictoffset */
 0, /* tp_init */
 0, /* tp_alloc */
 lru_cache_new, /* tp_new */
};

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

PyDoc_STRVAR(module_doc,
"Tools that operate on functions.");

static PyMethodDef module_methods[] = {
 {"reduce", functools_reduce, METH_VARARGS, functools_reduce_doc},
 {"cmp_to_key", (PyCFunction)(void(*)(void))functools_cmp_to_key,
 METH_VARARGS | METH_KEYWORDS, functools_cmp_to_key_doc},
 {NULL, NULL} /* sentinel */
};

static void
module_free(void *m)
{
 Py_CLEAR(kwd_mark);
}

static struct PyModuleDef _functoolsmodule = {
 PyModuleDef_HEAD_INIT,
 "_functools",
 module_doc,
 -1,
 module_methods,
 NULL,
 NULL,
 NULL,
 module_free,
};

PyMODINIT_FUNC
PyInit__functools(void)
{
 int i;
 PyObject *m;
 const char *name;
 PyTypeObject *typelist[] = {
 &partial_type,
 &lru_cache_type,
 NULL
 };

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

 kwd_mark = _PyObject_CallNoArg((PyObject *)&PyBaseObject_Type);
 if (!kwd_mark) {
 Py_DECREF(m);
 return NULL;
 }

 for (i=0 ; typelist[i] != NULL ; i++) {
 if (PyType_Ready(typelist[i]) < 0) {
 Py_DECREF(m);
 return NULL;
 }
 name = _PyType_Name(typelist[i]);
 Py_INCREF(typelist[i]);
 PyModule_AddObject(m, name, (PyObject *)typelist[i]);
 }
 return m;
}