Add and fix type hints

aesara/compile/debugmode.py

@@ -14,6 +14,7 @@ from io import StringIO
 from itertools import chain
 from itertools import product as itertools_product
 from logging import Logger
+from typing import Optional
 from warnings import warn
 
 import numpy as np
@@ -1362,14 +1363,14 @@ class _Linker(LocalLinker):
         self.maker = maker
         super().__init__(scheduler=schedule)
 
-    def accept(self, fgraph, no_recycling=None, profile=None):
+    def accept(self, fgraph, no_recycling: Optional[list] = None, profile=None):
         if no_recycling is None:
             no_recycling = []
         if self.fgraph is not None and self.fgraph is not fgraph:
             assert type(self) is _Linker
             return type(self)(maker=self.maker).accept(fgraph, no_recycling, profile)
         self.fgraph = fgraph
-        self.no_recycling = no_recycling
+        self.no_recycling: list = no_recycling
         return self
 
     def make_all(
@@ -1401,7 +1402,7 @@ class _Linker(LocalLinker):
         # check_preallocated_output even on the output of the function.
         # no_recycling in individual thunks does not really matter, since
         # the function's outputs will always be freshly allocated.
-        no_recycling = []
+        no_recycling: list = []
 
         input_storage, output_storage, storage_map = map_storage(
             fgraph, order, input_storage_, output_storage_, storage_map
@@ -1492,6 +1493,7 @@ class _Linker(LocalLinker):
         # Use self.no_recycling (that was passed in accept()) to always
         # use new memory storage when it is needed, in particular for the
         # function's outputs. no_recycling_map will be used in f() below.
+        no_recycling_map: list = []
         if self.no_recycling is True:
             no_recycling_map = list(storage_map.values())
             no_recycling_map = difference(no_recycling_map, input_storage)

aesara/gpuarray/basic_ops.py

@@ -36,6 +36,7 @@ from aesara.gpuarray.type import (
     ContextNotDefined,
     GpuArrayConstant,
     GpuArrayType,
+    GpuContextType,
     get_context,
     gpu_context_type,
 )
@@ -307,7 +308,7 @@ class GpuKernelBase:
 
     """
 
-    params_type: Union[ParamsType, gpu_context_type] = gpu_context_type
+    params_type: Union[ParamsType, GpuContextType] = gpu_context_type
 
     def get_params(self, node):
         # Default implementation, suitable for most sub-classes.

aesara/gpuarray/type.py

@@ -983,7 +983,7 @@ Py_INCREF(%(name)s);
 Instance of :class:`GpuContextType` to use for the context_type
 declaration of an operation.
 """
-gpu_context_type = GpuContextType()
+gpu_context_type: GpuContextType = GpuContextType()
 
 
 # THIS WORKS But GpuArray instances don't compare equal to one

aesara/graph/basic.py

@@ -104,7 +104,7 @@ class Apply(Node):
 
         """
         self.op = op
-        self.inputs = []
+        self.inputs: List[Variable] = []
         self.tag = Scratchpad()
 
         if not isinstance(inputs, (list, tuple)):
@@ -121,7 +121,7 @@ class Apply(Node):
                 raise TypeError(
                     f"The 'inputs' argument to Apply must contain Variable instances, not {input}"
                 )
-        self.outputs = []
+        self.outputs: List[Variable] = []
         # filter outputs to make sure each element is a Variable
         for i, output in enumerate(outputs):
             if isinstance(output, Variable):
@@ -630,7 +630,7 @@ def walk(
     bfs: bool = True,
     return_children: bool = False,
     hash_fn: Callable[[T], Hashable] = id,
-) -> Generator[T, None, Dict[T, List[T]]]:
+) -> Generator[Union[T, Tuple[T, Optional[Sequence[T]]]], None, None]:
     """Walk through a graph, either breadth- or depth-first.
 
     Parameters
@@ -870,7 +870,7 @@ def clone_get_equiv(
     copy_inputs: bool = True,
     copy_orphans: bool = True,
     memo: Optional[Dict[Variable, Variable]] = None,
-):
+) -> Dict[Variable, Variable]:
     """
     Return a dictionary that maps from `Variable` and `Apply` nodes in the
     original graph to a new node (a clone) in a new graph.
@@ -1050,7 +1050,7 @@ def general_toposort(
     if deps_cache is None:
         raise ValueError("deps_cache cannot be None")
 
-    search_res: List[T, Optional[List[T]]] = list(
+    search_res: List[Tuple[T, Optional[List[T]]]] = list(
         walk(outputs, compute_deps_cache, bfs=False, return_children=True)
     )
 
@@ -1088,8 +1088,8 @@ def general_toposort(
 
 
 def io_toposort(
-    inputs: List[Variable],
-    outputs: List[Variable],
+    inputs: Iterable[Variable],
+    outputs: Iterable[Variable],
     orderings: Optional[Dict[Apply, List[Apply]]] = None,
     clients: Optional[Dict[Variable, List[Variable]]] = None,
 ) -> List[Apply]:
@@ -1586,7 +1586,7 @@ def equal_computations(xs, ys, in_xs=None, in_ys=None):
 
 def get_var_by_name(
     graphs: Iterable[Variable], target_var_id: str, ids: str = "CHAR"
-) -> Tuple[Variable]:
+) -> Tuple[Variable, ...]:
     r"""Get variables in a graph using their names.
 
     Parameters
@@ -1613,7 +1613,7 @@ def get_var_by_name(
 
             return res
 
-    results = ()
+    results: Tuple[Variable, ...] = ()
     for var in walk(graphs, expand, False):
         if target_var_id == var.name or target_var_id == var.auto_name:
             results += (var,)

aesara/graph/fg.py

 """A container for specifying and manipulating a graph with distinct inputs and outputs."""
 import time
 from collections import OrderedDict
-from typing import Any, Dict, List, Optional, Tuple, Union
+from typing import Any, Dict, Iterable, List, Optional, Sequence, Set, Tuple, Union
 
 import aesara
 from aesara.configdefaults import config
@@ -47,9 +47,9 @@ class FunctionGraph(MetaObject):
 
     def __init__(
         self,
-        inputs: Optional[List[Variable]] = None,
-        outputs: Optional[List[Variable]] = None,
-        features: Optional[List[Feature]] = None,
+        inputs: Optional[Sequence[Variable]] = None,
+        outputs: Optional[Sequence[Variable]] = None,
+        features: Optional[Sequence[Feature]] = None,
         clone: bool = True,
         update_mapping: Optional[Dict[Variable, Variable]] = None,
         memo: Optional[Dict[Variable, Variable]] = None,
@@ -98,25 +98,25 @@ class FunctionGraph(MetaObject):
             inputs = [memo[i] for i in inputs]
 
         self.execute_callbacks_time = 0
-        self.execute_callbacks_times = {}
+        self.execute_callbacks_times: Dict[Feature, float] = {}
 
         if features is None:
             features = []
 
-        self._features = []
+        self._features: List[Feature] = []
 
         # All apply nodes in the subgraph defined by inputs and
         # outputs are cached in this field
-        self.apply_nodes = set()
+        self.apply_nodes: Set[Apply] = set()
 
         # Ditto for variable nodes.
         # It must contain all fgraph.inputs and all apply_nodes
         # outputs even if they aren't used in the graph.
-        self.variables = set()
+        self.variables: Set[Variable] = set()
 
-        self.inputs = []
-        self.outputs = list(outputs)
-        self.clients = {}
+        self.inputs: List[Variable] = []
+        self.outputs: List[Variable] = list(outputs)
+        self.clients: Dict[Variable, List[Tuple[Union[Apply, str], int]]] = {}
 
         for f in features:
             self.attach_feature(f)
@@ -487,7 +487,7 @@ class FunctionGraph(MetaObject):
                 node, i, new_var, reason=reason, import_missing=import_missing
             )
 
-    def replace_all(self, pairs: List[Tuple[Variable, Variable]], **kwargs) -> None:
+    def replace_all(self, pairs: Iterable[Tuple[Variable, Variable]], **kwargs) -> None:
         """Replace variables in the `FunctionGraph` according to ``(var, new_var)`` pairs in a list."""
         for var, new_var in pairs:
             self.replace(var, new_var, **kwargs)
@@ -604,7 +604,7 @@ class FunctionGraph(MetaObject):
 
         """
         assert isinstance(self._features, list)
-        all_orderings = []
+        all_orderings: List[OrderedDict] = []
 
         for feature in self._features:
             if hasattr(feature, "orderings"):
@@ -630,7 +630,7 @@ class FunctionGraph(MetaObject):
             return all_orderings[0].copy()
         else:
             # If there is more than 1 ordering, combine them.
-            ords = OrderedDict()
+            ords: Dict[Apply, List[Apply]] = OrderedDict()
             for orderings in all_orderings:
                 for node, prereqs in orderings.items():
                     ords.setdefault(node, []).extend(prereqs)
@@ -695,7 +695,7 @@ class FunctionGraph(MetaObject):
 
     def clone_get_equiv(
         self, check_integrity: bool = True, attach_feature: bool = True
-    ) -> Union["FunctionGraph", Dict[Variable, Variable]]:
+    ) -> Tuple["FunctionGraph", Dict[Variable, Variable]]:
         """Clone the graph and return a ``dict`` that maps old nodes to new nodes.
 
         Parameters

aesara/graph/op.py

@@ -17,6 +17,7 @@ from typing import (
     Any,
     Callable,
     ClassVar,
+    Collection,
     Dict,
     List,
     Optional,
@@ -47,8 +48,8 @@ if TYPE_CHECKING:
     from aesara.compile.function.types import Function
     from aesara.graph.fg import FunctionGraph
 
-StorageMapType = List[Optional[List[Any]]]
-ComputeMapType = List[bool]
+StorageMapType = Dict[Variable, List[Optional[List[Any]]]]
+ComputeMapType = Dict[Variable, List[bool]]
 OutputStorageType = List[Optional[List[Any]]]
 ParamsInputType = Optional[Tuple[Any]]
 PerformMethodType = Callable[
@@ -613,7 +614,7 @@ class COp(Op, CLinkerOp):
         node: Apply,
         storage_map: StorageMapType,
         compute_map: ComputeMapType,
-        no_recycling: bool,
+        no_recycling: Collection[Apply],
     ) -> ThunkType:
         """Create a thunk for a C implementation.
 
@@ -1073,7 +1074,7 @@ class ExternalCOp(COp):
                     f"No valid section marker was found in file {func_files[i]}"
                 )
 
-    def __get_op_params(self) -> Union[List[Text], List[Tuple[str, Any]]]:
+    def __get_op_params(self) -> List[Tuple[str, Any]]:
         """Construct name, value pairs that will be turned into macros for use within the `Op`'s code.
 
         The names must be strings that are not a C keyword and the
@@ -1089,9 +1090,10 @@ class ExternalCOp(COp):
            associated to ``key``.
 
         """
+        params: List[Tuple[str, Any]] = []
         if hasattr(self, "params_type") and isinstance(self.params_type, ParamsType):
             wrapper = self.params_type
-            params = [("PARAMS_TYPE", wrapper.name)]
+            params.append(("PARAMS_TYPE", wrapper.name))
             for i in range(wrapper.length):
                 c_type = wrapper.types[i].c_element_type()
                 if c_type:
@@ -1105,8 +1107,7 @@ class ExternalCOp(COp):
                             c_type,
                         )
                     )
-            return params
-        return []
+        return params
 
     def c_code_cache_version(self):
         version = (hash(tuple(self.func_codes)),)

aesara/graph/opt.py

@@ -17,7 +17,7 @@ from collections import UserList, defaultdict, deque
 from collections.abc import Iterable
 from functools import partial, reduce
 from itertools import chain
-from typing import Dict, List, Optional, Tuple, Union
+from typing import Dict, List, Optional, Sequence, Tuple, Union
 
 import aesara
 from aesara.configdefaults import config
@@ -1068,7 +1068,7 @@ class FromFunctionLocalOptimizer(LocalOptimizer):
 
 
 def local_optimizer(
-    tracks: Optional[List[Union[Op, type]]],
+    tracks: Optional[Sequence[Union[Op, type]]],
     inplace: bool = False,
     requirements: Optional[Tuple[type, ...]] = (),
 ):
@@ -1184,7 +1184,10 @@ class LocalOptGroup(LocalOptimizer):
     """
 
     def __init__(
-        self, *optimizers, apply_all_opts: bool = False, profile: bool = False
+        self,
+        *optimizers: Sequence[Rewriter],
+        apply_all_opts: bool = False,
+        profile: bool = False,
     ):
         """
 
@@ -1205,7 +1208,7 @@ class LocalOptGroup(LocalOptimizer):
         if len(optimizers) == 1 and isinstance(optimizers[0], list):
             # This happen when created by LocalGroupDB.
             optimizers = tuple(optimizers[0])
-        self.opts = optimizers
+        self.opts: Sequence[Rewriter] = optimizers
         assert isinstance(self.opts, tuple)
 
         self.reentrant = any(getattr(opt, "reentrant", True) for opt in optimizers)
@@ -1217,10 +1220,10 @@ class LocalOptGroup(LocalOptimizer):
 
         self.profile = profile
         if self.profile:
-            self.time_opts = {}
-            self.process_count = {}
-            self.applied_true = {}
-            self.node_created = {}
+            self.time_opts: Dict[Rewriter, float] = {}
+            self.process_count: Dict[Rewriter, int] = {}
+            self.applied_true: Dict[Rewriter, int] = {}
+            self.node_created: Dict[Rewriter, int] = {}
 
         self.tracker = LocalOptTracker()
 

aesara/graph/type.py

@@ -6,6 +6,8 @@ import re
 from abc import abstractmethod
 from typing import Any, Optional, Text, TypeVar, Union
 
+from typing_extensions import TypeAlias
+
 from aesara.graph import utils
 from aesara.graph.basic import Constant, Variable
 from aesara.graph.utils import MetaObject
@@ -33,12 +35,12 @@ class Type(MetaObject):
 
     """
 
-    Variable = Variable
+    Variable: TypeAlias = Variable
     """
     The `Type` that will be created by a call to `Type.make_variable`.
     """
 
-    Constant = Constant
+    Constant: TypeAlias = Constant
     """
     The `Type` that will be created by a call to `Type.make_constant`.
     """
@@ -109,7 +111,7 @@ class Type(MetaObject):
         storage: Any,
         strict: bool = False,
         allow_downcast: Optional[bool] = None,
-    ) -> None:
+    ):
         """Return data or an appropriately wrapped/converted data by converting it in-place.
 
         This method allows one to reuse old allocated memory.  If this method

aesara/graph/utils.py

@@ -3,10 +3,12 @@ import sys
 import traceback
 from abc import ABCMeta
 from io import StringIO
-from typing import List
+from typing import List, Optional, Sequence, Tuple
 
 
-def simple_extract_stack(f=None, limit=None, skips=None):
+def simple_extract_stack(
+    f=None, limit: Optional[int] = None, skips: Optional[Sequence[str]] = None
+) -> List[Tuple[Optional[str], int, str, str]]:
     """This is traceback.extract_stack from python 2.7 with this change:
 
     - Comment the update of the cache.
@@ -33,7 +35,7 @@ def simple_extract_stack(f=None, limit=None, skips=None):
     if limit is None:
         if hasattr(sys, "tracebacklimit"):
             limit = sys.tracebacklimit
-    trace = []
+    trace: List[Tuple[Optional[str], int, str, str]] = []
     n = 0
     while f is not None and (limit is None or n < limit):
         lineno = f.f_lineno
@@ -67,7 +69,7 @@ def simple_extract_stack(f=None, limit=None, skips=None):
     return trace
 
 
-def add_tag_trace(thing, user_line=None):
+def add_tag_trace(thing, user_line: Optional[int] = None):
     """Add tag.trace to a node or variable.
 
     The argument is returned after being affected (inplace).

aesara/ifelse.py

@@ -13,7 +13,7 @@ is a global operation with a scalar condition.
 
 import logging
 from copy import deepcopy
-from typing import List, Union
+from typing import List, Sequence, Union
 
 import numpy as np
 
@@ -311,7 +311,7 @@ def ifelse(
     then_branch: Union[Variable, List[Variable]],
     else_branch: Union[Variable, List[Variable]],
     name: str = None,
-) -> Union[Variable, List[Variable]]:
+) -> Union[Variable, Sequence[Variable]]:
     """
     This function corresponds to an if statement, returning (and evaluating)
     inputs in the ``then_branch`` if ``condition`` evaluates to True or
@@ -340,13 +340,13 @@ def ifelse(
 
     Returns
     =======
-        A list of aesara variables or a single variable (depending on the
+        A sequence of aesara variables or a single variable (depending on the
         nature of the ``then_branch`` and ``else_branch``). More exactly if
         ``then_branch`` and ``else_branch`` is a tensor, then
         the return variable will be just a single variable, otherwise a
-        list. The value returns correspond either to the values in the
+        sequence. The value returns correspond either to the values in the
         ``then_branch`` or in the ``else_branch`` depending on the value of
-        ``cond``.
+        ``condition``.
     """
 
     rval_type = None

aesara/link/basic.py

@@ -51,7 +51,7 @@ class Container:
     def __init__(
         self,
         r: MetaObject,
-        storage: Any,
+        storage: List[Any],
         *,
         readonly: bool = False,
         strict: bool = False,

aesara/link/c/interface.py

@@ -148,7 +148,7 @@ class CLinkerObject:
         """Return a list of code snippets to be inserted in module initialization."""
         return []
 
-    def c_code_cache_version(self) -> Union[Tuple[int], Tuple]:
+    def c_code_cache_version(self) -> Union[Tuple[int, ...], Tuple]:
         """Return a tuple of integers indicating the version of this `Op`.
 
         An empty tuple indicates an "unversioned" `Op` that will not be cached
@@ -211,7 +211,7 @@ class CLinkerOp(CLinkerObject):
         """
         raise NotImplementedError()
 
-    def c_code_cache_version_apply(self, node: Apply) -> Tuple[int]:
+    def c_code_cache_version_apply(self, node: Apply) -> Tuple[int, ...]:
         """Return a tuple of integers indicating the version of this `Op`.
 
         An empty tuple indicates an "unversioned" `Op` that will not be

aesara/link/utils.py

@@ -24,7 +24,7 @@ def map_storage(
     order: Iterable[Apply],
     input_storage: Optional[List],
     output_storage: Optional[List],
-    storage_map: Dict = None,
+    storage_map: Optional[Dict] = None,
 ) -> Tuple[List, List, Dict]:
     """Ensure there is storage (a length-1 list) for inputs, outputs, and interior nodes.
 

aesara/printing.py

@@ -13,7 +13,7 @@ from contextlib import contextmanager
 from copy import copy
 from functools import reduce
 from io import IOBase, StringIO
-from typing import Callable, Dict, Iterable, List, Optional, Union
+from typing import Any, Callable, Dict, Iterable, List, Optional, Tuple, Union
 
 import numpy as np
 
@@ -168,9 +168,9 @@ def debugprint(
         used_ids = dict()
 
     results_to_print = []
-    profile_list = []
-    order = []  # Toposort
-    smap = []  # storage_map
+    profile_list: List[Optional[Any]] = []
+    order: List[Optional[List[Apply]]] = []  # Toposort
+    smap: List[Optional[StorageMapType]] = []  # storage_map
 
     if isinstance(obj, (list, tuple, set)):
         lobj = obj
@@ -881,8 +881,8 @@ default_printer = DefaultPrinter()
 
 class PPrinter(Printer):
     def __init__(self):
-        self.printers = []
-        self.printers_dict = {}
+        self.printers: List[Tuple[Union[Op, type, Callable], Printer]] = []
+        self.printers_dict: Dict[Union[Op, type, Callable], Printer] = {}
 
     def assign(self, condition: Union[Op, type, Callable], printer: Printer):
         if isinstance(condition, (Op, type)):
@@ -999,7 +999,7 @@ else:
     )
 
 
-pprint = PPrinter()
+pprint: PPrinter = PPrinter()
 pprint.assign(lambda pstate, r: True, default_printer)
 pprint.assign(lambda pstate, r: isinstance(r, Constant), constant_printer)
 
@@ -1705,7 +1705,7 @@ def get_node_by_id(
     if isinstance(graphs, Variable):
         graphs = (graphs,)
 
-    used_ids = dict()
+    used_ids: Dict[Variable, str] = {}
 
     _ = debugprint(graphs, file="str", used_ids=used_ids, ids=ids)
 

aesara/scalar/basic.py

@@ -19,6 +19,7 @@ from textwrap import dedent
 from typing import Dict, Mapping, Optional, Tuple, Type, Union
 
 import numpy as np
+from typing_extensions import TypeAlias
 
 import aesara
 from aesara import printing
@@ -106,47 +107,6 @@ def as_common_dtype(*vars):
     return (v.astype(dtype) for v in vars)
 
 
-def get_scalar_type(dtype):
-    """
-    Return a Scalar(dtype) object.
-
-    This caches objects to save allocation and run time.
-
-    """
-    if dtype not in get_scalar_type.cache:
-        get_scalar_type.cache[dtype] = Scalar(dtype=dtype)
-    return get_scalar_type.cache[dtype]
-
-
-get_scalar_type.cache = {}
-
-
-def as_scalar(x, name=None):
-    from aesara.tensor.basic import scalar_from_tensor
-    from aesara.tensor.type import TensorType
-
-    if isinstance(x, Apply):
-        if len(x.outputs) != 1:
-            raise ValueError(
-                "It is ambiguous which output of a multi-output"
-                " Op has to be fetched.",
-                x,
-            )
-        else:
-            x = x.outputs[0]
-    if isinstance(x, Variable):
-        if isinstance(x.type, Scalar):
-            return x
-        elif isinstance(x.type, TensorType) and x.ndim == 0:
-            return scalar_from_tensor(x)
-        else:
-            raise TypeError("Variable type field must be a Scalar.", x, x.type)
-    try:
-        return constant(x)
-    except TypeError:
-        raise TypeError(f"Cannot convert {x} to Scalar", type(x))
-
-
 class NumpyAutocaster:
     """
     This class is used to cast python ints and floats to numpy arrays.
@@ -314,12 +274,6 @@ def convert(x, dtype=None):
     return x_
 
 
-def constant(x, name=None, dtype=None):
-    x = convert(x, dtype=dtype)
-    assert x.ndim == 0
-    return ScalarConstant(get_scalar_type(str(x.dtype)), x, name=name)
-
-
 class Scalar(CType):
 
     """
@@ -722,6 +676,21 @@ class Scalar(CType):
         return shape_info
 
 
+def get_scalar_type(dtype) -> Scalar:
+    """
+    Return a Scalar(dtype) object.
+
+    This caches objects to save allocation and run time.
+
+    """
+    if dtype not in get_scalar_type.cache:
+        get_scalar_type.cache[dtype] = Scalar(dtype=dtype)
+    return get_scalar_type.cache[dtype]
+
+
+get_scalar_type.cache = {}
+
+
 # Register C code for ViewOp on Scalars.
 aesara.compile.register_view_op_c_code(
     Scalar,
@@ -732,30 +701,31 @@ aesara.compile.register_view_op_c_code(
 )
 
 
-bool = get_scalar_type("bool")
-int8 = get_scalar_type("int8")
-int16 = get_scalar_type("int16")
-int32 = get_scalar_type("int32")
-int64 = get_scalar_type("int64")
-uint8 = get_scalar_type("uint8")
-uint16 = get_scalar_type("uint16")
-uint32 = get_scalar_type("uint32")
-uint64 = get_scalar_type("uint64")
-float16 = get_scalar_type("float16")
-float32 = get_scalar_type("float32")
-float64 = get_scalar_type("float64")
-complex64 = get_scalar_type("complex64")
-complex128 = get_scalar_type("complex128")
-
-int_types = int8, int16, int32, int64
-uint_types = uint8, uint16, uint32, uint64
-float_types = float16, float32, float64
-complex_types = complex64, complex128
-
-integer_types = int_types + uint_types
-discrete_types = (bool,) + integer_types
-continuous_types = float_types + complex_types
-all_types = discrete_types + continuous_types
+bool: Scalar = get_scalar_type("bool")
+int8: Scalar = get_scalar_type("int8")
+int16: Scalar = get_scalar_type("int16")
+int32: Scalar = get_scalar_type("int32")
+int64: Scalar = get_scalar_type("int64")
+uint8: Scalar = get_scalar_type("uint8")
+uint16: Scalar = get_scalar_type("uint16")
+uint32: Scalar = get_scalar_type("uint32")
+uint64: Scalar = get_scalar_type("uint64")
+float16: Scalar = get_scalar_type("float16")
+float32: Scalar = get_scalar_type("float32")
+float64: Scalar = get_scalar_type("float64")
+complex64: Scalar = get_scalar_type("complex64")
+complex128: Scalar = get_scalar_type("complex128")
+
+_ScalarTypes: TypeAlias = Tuple[Scalar, ...]
+int_types: _ScalarTypes = (int8, int16, int32, int64)
+uint_types: _ScalarTypes = (uint8, uint16, uint32, uint64)
+float_types: _ScalarTypes = (float16, float32, float64)
+complex_types: _ScalarTypes = (complex64, complex128)
+
+integer_types: _ScalarTypes = int_types + uint_types
+discrete_types: _ScalarTypes = (bool,) + integer_types
+continuous_types: _ScalarTypes = float_types + complex_types
+all_types: _ScalarTypes = discrete_types + continuous_types
 
 discrete_dtypes = tuple(t.dtype for t in discrete_types)
 
@@ -885,6 +855,38 @@ class ScalarConstant(ScalarVariable, Constant):
 Scalar.Constant = ScalarConstant
 
 
+def constant(x, name=None, dtype=None) -> ScalarConstant:
+    x = convert(x, dtype=dtype)
+    assert x.ndim == 0
+    return ScalarConstant(get_scalar_type(str(x.dtype)), x, name=name)
+
+
+def as_scalar(x, name=None) -> ScalarConstant:
+    from aesara.tensor.basic import scalar_from_tensor
+    from aesara.tensor.type import TensorType
+
+    if isinstance(x, Apply):
+        if len(x.outputs) != 1:
+            raise ValueError(
+                "It is ambiguous which output of a multi-output"
+                " Op has to be fetched.",
+                x,
+            )
+        else:
+            x = x.outputs[0]
+    if isinstance(x, Variable):
+        if isinstance(x.type, Scalar):
+            return x
+        elif isinstance(x.type, TensorType) and x.ndim == 0:
+            return scalar_from_tensor(x)
+        else:
+            raise TypeError("Variable type field must be a Scalar.", x, x.type)
+    try:
+        return constant(x)
+    except TypeError:
+        raise TypeError(f"Cannot convert {x} to Scalar", type(x))
+
+
 # Easy constructors
 
 ints = apply_across_args(int64)
@@ -1276,9 +1278,9 @@ class BinaryScalarOp(ScalarOp):
     # One may define in subclasses the following fields:
     #   - `commutative`: whether op(a, b) == op(b, a)
     #   - `associative`: whether op(op(a, b), c) == op(a, op(b, c))
-    commutative: Optional[bool] = None
-    associative: Optional[bool] = None
-    identity: Optional[bool] = None
+    commutative: Optional[builtins.bool] = None
+    associative: Optional[builtins.bool] = None
+    identity: Optional[builtins.bool] = None
     """
     For an associative operation, the identity object corresponds to the neutral
     element. For instance, it will be ``0`` for addition, ``1`` for multiplication,
@@ -2501,20 +2503,20 @@ class Cast(UnaryScalarOp):
             return s
 
 
-convert_to_bool = Cast(bool, name="convert_to_bool")
-convert_to_int8 = Cast(int8, name="convert_to_int8")
-convert_to_int16 = Cast(int16, name="convert_to_int16")
-convert_to_int32 = Cast(int32, name="convert_to_int32")
-convert_to_int64 = Cast(int64, name="convert_to_int64")
-convert_to_uint8 = Cast(uint8, name="convert_to_uint8")
-convert_to_uint16 = Cast(uint16, name="convert_to_uint16")
-convert_to_uint32 = Cast(uint32, name="convert_to_uint32")
-convert_to_uint64 = Cast(uint64, name="convert_to_uint64")
-convert_to_float16 = Cast(float16, name="convert_to_float16")
-convert_to_float32 = Cast(float32, name="convert_to_float32")
-convert_to_float64 = Cast(float64, name="convert_to_float64")
-convert_to_complex64 = Cast(complex64, name="convert_to_complex64")
-convert_to_complex128 = Cast(complex128, name="convert_to_complex128")
+convert_to_bool: Cast = Cast(bool, name="convert_to_bool")
+convert_to_int8: Cast = Cast(int8, name="convert_to_int8")
+convert_to_int16: Cast = Cast(int16, name="convert_to_int16")
+convert_to_int32: Cast = Cast(int32, name="convert_to_int32")
+convert_to_int64: Cast = Cast(int64, name="convert_to_int64")
+convert_to_uint8: Cast = Cast(uint8, name="convert_to_uint8")
+convert_to_uint16: Cast = Cast(uint16, name="convert_to_uint16")
+convert_to_uint32: Cast = Cast(uint32, name="convert_to_uint32")
+convert_to_uint64: Cast = Cast(uint64, name="convert_to_uint64")
+convert_to_float16: Cast = Cast(float16, name="convert_to_float16")
+convert_to_float32: Cast = Cast(float32, name="convert_to_float32")
+convert_to_float64: Cast = Cast(float64, name="convert_to_float64")
+convert_to_complex64: Cast = Cast(complex64, name="convert_to_complex64")
+convert_to_complex128: Cast = Cast(complex128, name="convert_to_complex128")
 
 _cast_mapping = {
     "bool": convert_to_bool,

aesara/scan/opt.py

@@ -683,7 +683,7 @@ def push_out_inner_vars(
     outer_vars = [None] * len(inner_vars)
     new_scan_node = old_scan_node
     new_scan_args = old_scan_args
-    replacements = {}
+    replacements: Dict[Variable, Variable] = {}
 
     # For the inner_vars that already exist in the outer graph,
     # simply obtain a reference to them

aesara/scan/utils.py

@@ -1016,7 +1016,7 @@ class ScanArgs:
 
     def find_among_fields(
         self, i: Variable, field_filter: Callable[[str], bool] = default_filter
-    ) -> Optional[Tuple[str, int, int, int]]:
+    ) -> Optional[FieldInfo]:
         """Find the type and indices of the field containing a given element.
 
         NOTE: This only returns the *first* field containing the given element.
@@ -1158,14 +1158,14 @@ class ScanArgs:
 
     def remove_from_fields(
         self, i: Variable, rm_dependents: bool = True
-    ) -> List[FieldInfo]:
+    ) -> List[Tuple[Variable, Optional[FieldInfo]]]:
 
         if rm_dependents:
             vars_to_remove = self.get_dependent_nodes(i) | {i}
         else:
             vars_to_remove = {i}
 
-        rm_info = []
+        rm_info: List[Tuple[Variable, Optional[FieldInfo]]] = []
         for v in vars_to_remove:
             dependent_rm_info = self._remove_from_fields(v)
             rm_info.append((v, dependent_rm_info))

aesara/tensor/__init__.py

@@ -9,7 +9,7 @@ from aesara.graph.op import Op
 
 def as_tensor_variable(
     x: Any, name: Optional[str] = None, ndim: Optional[int] = None, **kwargs
-) -> Variable:
+) -> "TensorVariable":
     """Convert `x` into an equivalent `TensorVariable`.
 
     This function can be used to turn ndarrays, numbers, `Scalar` instances,
@@ -45,7 +45,7 @@ def as_tensor_variable(
 @singledispatch
 def _as_tensor_variable(
     x, name: Optional[str], ndim: Optional[int], **kwargs
-) -> NoReturn:
+) -> "TensorVariable":
     raise NotImplementedError(f"Cannot convert {x} to a tensor variable.")
 
 
@@ -80,7 +80,7 @@ def get_vector_length(v: Any):
 
 
 @singledispatch
-def _get_vector_length(op: Union[Op, Variable], var: Variable) -> NoReturn:
+def _get_vector_length(op: Union[Op, Variable], var: Variable):
     """`Op`-based dispatch for `get_vector_length`."""
     raise ValueError(f"Length of {var} cannot be determined")
 

aesara/tensor/basic.py

@@ -184,7 +184,7 @@ def _as_tensor_bool(x, name, ndim, **kwargs):
 as_tensor = as_tensor_variable
 
 
-def constant(x, name=None, ndim=None, dtype=None):
+def constant(x, name=None, ndim=None, dtype=None) -> TensorConstant:
     """Return a `TensorConstant` with value `x`.
 
     Raises
@@ -795,7 +795,7 @@ register_rebroadcast_c_code(
 
 # to be removed as we get the epydoc routine-documenting thing going
 # -JB 20080924
-def _conversion(real_value, name):
+def _conversion(real_value: Op, name: str) -> Op:
     __oplist_tag(real_value, "casting")
     real_value.__module__ = "tensor.basic"
     pprint.assign(real_value, printing.FunctionPrinter([name]))
@@ -807,46 +807,50 @@ def _conversion(real_value, name):
 # what types you are casting to what.  That logic is implemented by the
 # `cast()` function below.
 
-_convert_to_bool = _conversion(Elemwise(aes.convert_to_bool), "bool")
+_convert_to_bool: Elemwise = _conversion(Elemwise(aes.convert_to_bool), "bool")
 """Cast to boolean"""
 
-_convert_to_int8 = _conversion(Elemwise(aes.convert_to_int8), "int8")
+_convert_to_int8: Elemwise = _conversion(Elemwise(aes.convert_to_int8), "int8")
 """Cast to 8-bit integer"""
 
-_convert_to_int16 = _conversion(Elemwise(aes.convert_to_int16), "int16")
+_convert_to_int16: Elemwise = _conversion(Elemwise(aes.convert_to_int16), "int16")
 """Cast to 16-bit integer"""
 
-_convert_to_int32 = _conversion(Elemwise(aes.convert_to_int32), "int32")
+_convert_to_int32: Elemwise = _conversion(Elemwise(aes.convert_to_int32), "int32")
 """Cast to 32-bit integer"""
 
-_convert_to_int64 = _conversion(Elemwise(aes.convert_to_int64), "int64")
+_convert_to_int64: Elemwise = _conversion(Elemwise(aes.convert_to_int64), "int64")
 """Cast to 64-bit integer"""
 
-_convert_to_uint8 = _conversion(Elemwise(aes.convert_to_uint8), "uint8")
+_convert_to_uint8: Elemwise = _conversion(Elemwise(aes.convert_to_uint8), "uint8")
 """Cast to unsigned 8-bit integer"""
 
-_convert_to_uint16 = _conversion(Elemwise(aes.convert_to_uint16), "uint16")
+_convert_to_uint16: Elemwise = _conversion(Elemwise(aes.convert_to_uint16), "uint16")
 """Cast to unsigned 16-bit integer"""
 
-_convert_to_uint32 = _conversion(Elemwise(aes.convert_to_uint32), "uint32")
+_convert_to_uint32: Elemwise = _conversion(Elemwise(aes.convert_to_uint32), "uint32")
 """Cast to unsigned 32-bit integer"""
 
-_convert_to_uint64 = _conversion(Elemwise(aes.convert_to_uint64), "uint64")
+_convert_to_uint64: Elemwise = _conversion(Elemwise(aes.convert_to_uint64), "uint64")
 """Cast to unsigned 64-bit integer"""
 
-_convert_to_float16 = _conversion(Elemwise(aes.convert_to_float16), "float16")
+_convert_to_float16: Elemwise = _conversion(Elemwise(aes.convert_to_float16), "float16")
 """Cast to half-precision floating point"""
 
-_convert_to_float32 = _conversion(Elemwise(aes.convert_to_float32), "float32")
+_convert_to_float32: Elemwise = _conversion(Elemwise(aes.convert_to_float32), "float32")
 """Cast to single-precision floating point"""
 
-_convert_to_float64 = _conversion(Elemwise(aes.convert_to_float64), "float64")
+_convert_to_float64: Elemwise = _conversion(Elemwise(aes.convert_to_float64), "float64")
 """Cast to double-precision floating point"""
 
-_convert_to_complex64 = _conversion(Elemwise(aes.convert_to_complex64), "complex64")
+_convert_to_complex64: Elemwise = _conversion(
+    Elemwise(aes.convert_to_complex64), "complex64"
+)
 """Cast to single-precision complex"""
 
-_convert_to_complex128 = _conversion(Elemwise(aes.convert_to_complex128), "complex128")
+_convert_to_complex128: Elemwise = _conversion(
+    Elemwise(aes.convert_to_complex128), "complex128"
+)
 """Cast to double-precision complex"""
 
 _cast_mapping = {
@@ -867,7 +871,7 @@ _cast_mapping = {
 }
 
 
-def cast(x, dtype):
+def cast(x, dtype: Union[str, np.dtype]) -> TensorVariable:
     """Symbolically cast `x` to a Tensor of type `dtype`."""
 
     if isinstance(dtype, str) and dtype == "floatX":

aesara/tensor/random/op.py

 from copy import copy
-from typing import List, Optional, Sequence, Tuple
+from typing import Optional, Sequence, Tuple, Union
 
 import numpy as np
 
@@ -27,9 +27,9 @@ from aesara.tensor.var import TensorVariable
 def default_supp_shape_from_params(
     ndim_supp: int,
     dist_params: Sequence[Variable],
-    rep_param_idx: Optional[int] = 0,
+    rep_param_idx: int = 0,
     param_shapes: Optional[Sequence[Tuple[ScalarVariable]]] = None,
-) -> Tuple[int, ...]:
+) -> Union[TensorVariable, Tuple[ScalarVariable, ...]]:
     """Infer the dimensions for the output of a `RandomVariable`.
 
     This is a function that derives a random variable's support
@@ -171,10 +171,10 @@ class RandomVariable(Op):
 
     def _infer_shape(
         self,
-        size: Tuple[TensorVariable],
-        dist_params: List[TensorVariable],
-        param_shapes: Optional[List[Tuple[TensorVariable]]] = None,
-    ) -> Tuple[ScalarVariable]:
+        size: TensorVariable,
+        dist_params: Sequence[TensorVariable],
+        param_shapes: Optional[Sequence[Tuple[Variable, ...]]] = None,
+    ) -> Union[TensorVariable, Tuple[ScalarVariable, ...]]:
         """Compute the output shape given the size and distribution parameters.
 
         Parameters

aesara/tensor/random/utils.py

 from collections.abc import Sequence
 from functools import wraps
 from itertools import zip_longest
+from typing import Optional, Union
 
 import numpy as np
 
@@ -111,7 +112,9 @@ def broadcast_params(params, ndims_params):
     return bcast_params
 
 
-def normalize_size_param(size):
+def normalize_size_param(
+    size: Optional[Union[int, np.ndarray, Variable, Sequence]]
+) -> Variable:
     """Create an Aesara value for a ``RandomVariable`` ``size`` parameter."""
     if size is None:
         size = constant([], dtype="int64")

aesara/tensor/shape.py

@@ -16,7 +16,7 @@ from aesara.tensor import basic as at
 from aesara.tensor import get_vector_length
 from aesara.tensor.exceptions import NotScalarConstantError
 from aesara.tensor.type import TensorType, int_dtypes, tensor
-from aesara.tensor.var import TensorConstant
+from aesara.tensor.var import TensorConstant, TensorVariable
 
 
 def register_shape_c_code(type, code, version=()):
@@ -155,7 +155,7 @@ def _get_vector_length_Shape(op, var):
     return var.owner.inputs[0].type.ndim
 
 
-def shape_tuple(x: Variable) -> Tuple[Variable]:
+def shape_tuple(x: TensorVariable) -> Tuple[Variable, ...]:
     """Get a tuple of symbolic shape values.
 
     This will return a `ScalarConstant` with the value ``1`` wherever

aesara/tensor/subtensor.py

@@ -135,8 +135,8 @@ def as_index_constant(
 
 
 def as_index_literal(
-    idx: Union[Variable, slice, type(np.newaxis)]
-) -> Union[int, slice, type(np.newaxis)]:
+    idx: Optional[Union[Variable, slice]]
+) -> Optional[Union[int, slice]]:
     """Convert a symbolic index element to its Python equivalent.
 
     This is like the inverse of `as_index_constant`

environment.yml

@@ -48,6 +48,7 @@ dependencies:
   # developer tools
   - pre-commit
   - packaging
+  - typing_extensions
   # optional
   - sympy
   - cython

requirements.txt

@@ -18,3 +18,4 @@ diff-cover
 pre-commit
 isort
 packaging
+typing_extensions

setup.py

@@ -52,6 +52,7 @@ install_requires = [
     "logical-unification",
     "miniKanren",
     "cons",
+    "typing_extensions",
 ]