Revert "Raise a RuntimeError when tee iterator is consumed from different threads (pythonGH-15567)" (pythonGH-15736)

This reverts commit fa220ec.

Author: serhiy-storchaka

Doc/library/itertools.rst

@@ -643,8 +643,7 @@ loops that truncate the stream.
 
    Once :func:`tee` has made a split, the original *iterable* should not be
    used anywhere else; otherwise, the *iterable* could get advanced without
-   the tee objects being informed. the :func:`tee` iterator can not be consumed
-   from different threads, even if an underlying iterator is thread-safe.
+   the tee objects being informed.
 
    This itertool may require significant auxiliary storage (depending on how
    much temporary data needs to be stored). In general, if one iterator uses

Misc/NEWS.d/next/Library/2019-08-29-10-26-57.bpo-34410.ttCIpm.rst

@@ -452,7 +452,6 @@ typedef struct {
     teedataobject *dataobj;
     int index;                  /* 0 <= index <= LINKCELLS */
     PyObject *weakreflist;
-    unsigned long thread_id;
 } teeobject;
 
 static PyTypeObject teedataobject_type;
@@ -681,11 +680,6 @@ tee_next(teeobject *to)
 {
     PyObject *value, *link;
 
-    if (to->thread_id != PyThread_get_thread_ident()) {
-        PyErr_SetString(PyExc_RuntimeError,
-            "tee() iterator can not be consumed from different threads.");
-        return NULL;
-    }
     if (to->index >= LINKCELLS) {
         link = teedataobject_jumplink(to->dataobj);
         if (link == NULL)
@@ -719,7 +713,6 @@ tee_copy(teeobject *to, PyObject *Py_UNUSED(ignored))
     newto->dataobj = to->dataobj;
     newto->index = to->index;
     newto->weakreflist = NULL;
-    newto->thread_id = to->thread_id;
     PyObject_GC_Track(newto);
     return (PyObject *)newto;
 }
@@ -752,7 +745,6 @@ tee_fromiterable(PyObject *iterable)
 
     to->index = 0;
     to->weakreflist = NULL;
-    to->thread_id = PyThread_get_thread_ident();
     PyObject_GC_Track(to);
 done:
     Py_XDECREF(it);