Added draft chapter to typing spec for tuples. This consolidates and …

…augments existing information about tuples within the type system.

docs/spec/generics.rst

@@ -1239,26 +1239,10 @@ allow unpacking a tuple type. As we shall see, this also enables a
 number of interesting features.
 
 
-Unpacking Concrete Tuple Types
-""""""""""""""""""""""""""""""
-
-Unpacking a concrete tuple type is analogous to unpacking a tuple of
-values at runtime. ``tuple[int, *tuple[bool, bool], str]`` is
-equivalent to ``tuple[int, bool, bool, str]``.
-
 Unpacking Unbounded Tuple Types
 """""""""""""""""""""""""""""""
 
-Unpacking an unbounded tuple preserves the unbounded tuple as it is.
-That is, ``*tuple[int, ...]`` remains ``*tuple[int, ...]``; there's no
-simpler form. This enables us to specify types such as ``tuple[int,
-*tuple[str, ...], str]`` - a tuple type where the first element is
-guaranteed to be of type ``int``, the last element is guaranteed to be
-of type ``str``, and the elements in the middle are zero or more
-elements of type ``str``. Note that ``tuple[*tuple[int, ...]]`` is
-equivalent to ``tuple[int, ...]``.
-
-Unpacking unbounded tuples is also useful in function signatures where
+Unpacking unbounded tuples is useful in function signatures where
 we don't care about the exact elements and don't want to define an
 unnecessary ``TypeVarTuple``:
 
@@ -1313,18 +1297,6 @@ explicitly marking the code as unsafe (by using ``y: Array[*tuple[Any,
 checker every time they tried to use the variable ``y``, which would
 hinder them when migrating a legacy code base to use ``TypeVarTuple``.
 
-Multiple Unpackings in a Tuple: Not Allowed
-"""""""""""""""""""""""""""""""""""""""""""
-
-As with ``TypeVarTuples``, `only one <Multiple Type Variable Tuples:
-Not Allowed_>`_ unpacking may appear in a tuple:
-
-
-::
-
-    x: tuple[int, *Ts, str, *Ts2]  # Error
-    y: tuple[int, *tuple[int, ...], str, *tuple[str, ...]]  # Error
-
 
 ``*args`` as a Type Variable Tuple
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

docs/spec/index.rst

@@ -20,6 +20,7 @@ Specification for the Python type system
    overload
    dataclasses
    typeddict
+   tuples
    narrowing
    directives
    distributing

docs/spec/special-types.rst

@@ -96,15 +96,6 @@ The ``NoReturn`` type is conventionally used in return annotations of
 functions, and ``Never`` is typically used in other locations, but the two
 types are completely interchangeable.
 
-Tuples
-------
-
-The type of a tuple can be expressed by listing the element
-types: ``tuple[int, int, str]`` is a tuple containing an int,
-another int, and a str.  The empty tuple can be typed as
-``tuple[()]``.  Arbitrary-length homogeneous tuples can be
-expressed using one type and ellipsis, for example ``tuple[int, ...]``.
-
 Special cases for ``float`` and ``complex``
 -------------------------------------------
 

docs/spec/tuples.rst

@@ -0,0 +1,143 @@
+Tuples
+======
+
+The ``tuple`` class has some special behaviors and properties that make it
+different from other classes from a typing perspective. The most obvious
+difference is that ``tuple`` is variadic -- it supports an arbitrary number
+of type arguments. Each type argument represents a single element, and those
+elements are immutable at runtime. These properties affect subtyping rules and
+other behaviors as described below.
+
+
+Tuple Type Form
+---------------
+
+The type of a tuple can be expressed by listing the element types. For
+example, ``tuple[int, int, str]`` is a tuple containing an ``int``, another
+``int``, and a ``str``.
+
+The empty tuple can be annotated as ``tuple[()]``.
+
+Arbitrary-length homogeneous tuples can be expressed using one type and
+ellipsis, for example ``tuple[int, ...]``. This type is equivalent to a union
+of tuples containing zero or more ``int`` elements (``tuple[()] |
+tuple[int] | tuple[int, int] | tuple[int, int, int] | ...``).
+Arbitrary-length homogeneous tuples are sometimes referred to as "unbounded
+tuples". Both of these terms appear within the typing spec, and they refer to
+the same concept.
+
+The type ``tuple[Any, ...]`` is special in that it is bidirectionally
+compatible with any tuple of any length. This is useful for gradual typing.
+The type ``tuple`` (with no type arguments provided) is equivalent to
+``tuple[Any, ...]``.
+
+
+Unpacked Tuple Form
+-------------------
+
+An unpacked form of ``tuple`` (using an unpack operator ``*``) can be used
+within a tuple type argument list. For example, ``tuple[int, *tuple[str]]``
+is equivalent to ``tuple[int, str]``. Unpacking an unbounded tuple preserves
+the unbounded tuple as it is. That is, ``*tuple[int, ...]`` remains
+``*tuple[int, ...]``; there's no simpler form. This enables us to specify
+types such as ``tuple[int, *tuple[str, ...], str]`` -- a tuple type where the
+first element is guaranteed to be of type ``int``, the last element is
+guaranteed to be of type ``str``, and the elements in the middle are zero or
+more elements of type ``str``. The type ``tuple[*tuple[int, ...]]`` is
+equivalent to ``tuple[int, ...]``.
+
+If an unpacked ``*tuple[Any, ...]`` is embedded within another tuple, that
+portion of the tuple is bidirectionally type compatible with any tuple of
+any length.
+
+Only one unbounded tuple can be used with another tuple::
+
+    t1: tuple[*tuple[str], *tuple[str]]  # OK
+    t2: tuple[*tuple[str, *tuple[str, ...]]]  # OK
+    t3: tuple[*tuple[str, ...], *tuple[int, ...]]  # Type error
+    t4: tuple[*tuple[str, *tuple[str, ...]], *tuple[int, ...]]  # Type error
+
+An unpacked TypeVarTuple counts as an unbounded tuple in the context of this rule::
+
+    def func[*Ts](t: tuple[*Ts]):
+        t5: tuple[*tuple[str], *Ts]  # OK
+        t6: tuple[*tuple[str, ...], *Ts]  # Type error
+
+The ``*`` syntax requires Python 3.11 or newer. For older versions of Python,
+the ``typing.Unpack`` special form can be used:
+``tuple[int, Unpack[tuple[str, ...]], int]``.
+
+Unpacked tuples can also be used for ``*args`` parameters in a function
+signature. For example, ``def f(*args: *tuple[int, str]): ...``. Unpacked tuples
+can also be used for specializing generic classes or type variables that are
+parameterized using a ``TypeVarTuple``. For more details, see "``*args`` as a
+Type Variable Tuple" in the Generics section. [TODO: not sure how to create a
+link to a heading in another .rst file]
+
+
+Type Compatibility Rules
+------------------------
+
+Because tuple contents are immutable, the element types of a tuple are covariant.
+For example, ``tuple[int, int]`` is a subtype of ``tuple[float, complex]``.
+
+As discussed above, a homogeneous tuple of arbitrary length is equivalent
+to a union of tuples of different lengths. That means ``tuple[()]``, 
+``tuple[int]`` and ``tuple[int, *tuple[int, ...]]`` are all subtypes of
+``tuple[int, ...]``.
+
+The type ``tuple[Any, ...]`` is bidirectionally compatible with any tuple::
+
+    def func(t1: tuple[int], t2: tuple[int, ...], t3: tuple[Any, ...]):
+        v1: tuple[int, ...] = t1  # OK
+        v2: tuple[Any, ...] = t1  # OK
+
+        v3: tuple[int] = t2  # Type error
+        v4: tuple[Any, ...] = t2  # OK
+
+        v5: tuple[float, float] = t3  # OK
+        v6: tuple[int, *tuple[str, ...]] = t3  # OK
+
+
+The length of a tuple at runtime is immutable, so it is safe for type checkers
+to use length checks to narrow the type of a tuple::
+
+    def func(val: tuple[int] | tuple[str, str] | tuple[int, *tuple[str], int]):
+        if len(val) == 1:
+            # Type can be narrowed to tuple[int].
+            reveal_type(val)  # tuple[int]
+        
+        if len(val) == 2:
+            # Type can be narrowed to tuple[str, str] | tuple[int, int].
+            reveal_type(val)  # tuple[str, str] | tuple[int, int]
+
+        if len(val) == 3:
+            # Type can be narrowed to tuple[int, str, int].
+            reveal_type(val)  # tuple[int, str, int]
+
+This property may also be used to safely narrow tuple types within a ``match``
+statement that uses sequence patterns.
+
+If a tuple element is a union type, the tuple can be safely expanded into a
+union of tuples. For example, ``tuple[int | str]`` is equivalent to 
+``tuple[int] | tuple[str]``. If multiple elements are union types, the expansion
+must consider all combinations. For example, ``tuple[int | str, int | str]`` is
+equivalent to ``tuple[int, int] | tuple[int, str] | tuple[str, int] | tuple[str, str]``.
+Unbounded tuples cannot be expanded in this manner. 
+
+Type checkers may safely use this equivalency rule when narrowing tuple types::
+
+    def func(subj: tuple[int | str, int | str]):
+        match subj:
+            case x, str():
+                reveal_type(subj)  # tuple[int | str, str]
+            case y:
+                reveal_type(subj)  # tuple[int | str, int]
+
+The ``tuple`` class derives from ``Sequence[T_co]`` where ``T_co`` is a covariant
+(non-variadic) type variable. The specialized type of ``T_co`` should be computed
+by a type checker based on the union of element types within the tuple.
+For example, ``tuple[int, *tuple[str, ...]]`` is a subtype of ``Sequence[int | str]``.
+A zero-length tuple (``tuple[()]``) is a subtype of ``Sequence[Never]``.
+
+