From d5275aeadf0b9ba9e4b5608c4376a45b3484ab49 Mon Sep 17 00:00:00 2001
From: Alexandru Fikl <alexfikl@gmail.com>
Date: Tue, 12 Aug 2025 20:12:56 +0300
Subject: [PATCH 01/12] feat(typing): add more types to pytential.collection

---
 pytential/collection.py | 79 ++++++++++++++++++++++++++++++-----------
 1 file changed, 59 insertions(+), 20 deletions(-)

diff --git a/pytential/collection.py b/pytential/collection.py
index 1a57322f6..50871224d 100644
--- a/pytential/collection.py
+++ b/pytential/collection.py
@@ -30,8 +30,10 @@
 from typing import Any
 
 from constantdict import constantdict
+from typing_extensions import override
 
 from meshmode.discretization import Discretization
+from meshmode.discretization.connection.direct import DiscretizationConnection
 
 import pytential.symbolic.primitives as sym
 from pytential.qbx import QBXLayerPotentialSource
@@ -40,7 +42,12 @@
     PointPotentialSource,
     PotentialSource,
 )
-from pytential.symbolic.dof_desc import DiscretizationStage, DOFDescriptorLike
+from pytential.symbolic.dof_desc import (
+    DiscretizationStage,
+    DOFDescriptor,
+    DOFDescriptorLike,
+    GeometryId,
+)
 from pytential.target import PointsTarget, TargetBase
 
 
@@ -121,11 +128,17 @@ class GeometryCollection:
 
     """
 
+    ambient_dim: int
+    places: Mapping[GeometryId, GeometryLike]
+    auto_where: tuple[DOFDescriptor, DOFDescriptor]
+
+    _caches: dict[Hashable, Any]
+
     def __init__(self,
             places: (
                 GeometryLike
                 | tuple[GeometryLike, GeometryLike]
-                | Mapping[Hashable, GeometryLike]
+                | Mapping[GeometryId, GeometryLike]
                 ),
             auto_where: AutoWhereLike | None = None) -> None:
         r"""
@@ -153,7 +166,7 @@ def __init__(self,
         from pytential.symbolic.execution import _prepare_auto_where
         auto_source, auto_target = _prepare_auto_where(auto_where)
 
-        places_dict: Mapping[Hashable, GeometryLike]
+        places_dict: Mapping[GeometryId, GeometryLike]
         if isinstance(places, QBXLayerPotentialSource):
             places_dict = {auto_source.geometry: places}
             auto_target = auto_source
@@ -215,7 +228,7 @@ def __init__(self,
         self.places = constantdict(places_dict)
         self.auto_where = (auto_source, auto_target)
 
-        self._caches: dict[str, Any] = {}
+        self._caches = {}
 
     @property
     def auto_source(self) -> sym.DOFDescriptor:
@@ -227,10 +240,12 @@ def auto_target(self) -> sym.DOFDescriptor:
 
     # {{{ cache handling
 
-    def _get_cache(self, name):
+    def _get_cache(self, name: Hashable) -> dict[Hashable, Any]:
         return self._caches.setdefault(name, {})
 
-    def _get_discr_from_cache(self, geometry, discr_stage):
+    def _get_discr_from_cache(self,
+                              geometry: GeometryId,
+                              discr_stage: DiscretizationStage) -> Discretization:
         cache = self._get_cache(_GeometryCollectionDiscretizationCacheKey)
         key = (geometry, discr_stage)
 
@@ -239,9 +254,15 @@ def _get_discr_from_cache(self, geometry, discr_stage):
                     f"cached discretization does not exist on '{geometry}' "
                     f"for stage '{discr_stage}'")
 
-        return cache[key]
+        result = cache[key]
+        assert isinstance(result, Discretization)
 
-    def _add_discr_to_cache(self, discr, geometry, discr_stage):
+        return result
+
+    def _add_discr_to_cache(self,
+                            discr: Discretization,
+                            geometry: GeometryId,
+                            discr_stage: DiscretizationStage) -> None:
         cache = self._get_cache(_GeometryCollectionDiscretizationCacheKey)
         key = (geometry, discr_stage)
 
@@ -251,7 +272,11 @@ def _add_discr_to_cache(self, discr, geometry, discr_stage):
 
         cache[key] = discr
 
-    def _get_conn_from_cache(self, geometry, from_stage, to_stage):
+    def _get_conn_from_cache(self,
+                             geometry: GeometryId,
+                             from_stage: DiscretizationStage | None,
+                             to_stage: DiscretizationStage | None
+                             ) -> DiscretizationConnection:
         cache = self._get_cache(_GeometryCollectionConnectionCacheKey)
         key = (geometry, from_stage, to_stage)
 
@@ -259,9 +284,16 @@ def _get_conn_from_cache(self, geometry, from_stage, to_stage):
             raise KeyError("cached connection does not exist on "
                     f"'{geometry}' from stage '{from_stage}' to '{to_stage}'")
 
-        return cache[key]
+        result = cache[key]
+        assert isinstance(result, DiscretizationConnection)
+
+        return result
 
-    def _add_conn_to_cache(self, conn, geometry, from_stage, to_stage):
+    def _add_conn_to_cache(self,
+                           conn: DiscretizationConnection,
+                           geometry: GeometryId,
+                           from_stage: DiscretizationStage,
+                           to_stage: DiscretizationStage) -> None:
         cache = self._get_cache(_GeometryCollectionConnectionCacheKey)
         key = (geometry, from_stage, to_stage)
 
@@ -271,8 +303,11 @@ def _add_conn_to_cache(self, conn, geometry, from_stage, to_stage):
 
         cache[key] = conn
 
-    def _get_qbx_discretization(self, geometry, discr_stage):
+    def _get_qbx_discretization(self,
+                                geometry: GeometryId,
+                                discr_stage: DiscretizationStage) -> Discretization:
         lpot_source = self.get_geometry(geometry)
+        assert isinstance(lpot_source, LayerPotentialSourceBase)
 
         try:
             discr = self._get_discr_from_cache(geometry, discr_stage)
@@ -291,7 +326,9 @@ def _get_qbx_discretization(self, geometry, discr_stage):
 
     # }}}
 
-    def get_connection(self, from_dd: DOFDescriptorLike, to_dd: DOFDescriptorLike):
+    def get_connection(self,
+                       from_dd: DOFDescriptorLike,
+                       to_dd: DOFDescriptorLike) -> DiscretizationConnection:
         """Construct a connection from *from_dd* to *to_dd* geometries.
 
         :returns: an object compatible with the
@@ -303,7 +340,7 @@ def get_connection(self, from_dd: DOFDescriptorLike, to_dd: DOFDescriptorLike):
         return connection_from_dds(self, from_dd, to_dd)
 
     def get_discretization(
-            self, geometry: Hashable,
+            self, geometry: GeometryId,
             discr_stage: DiscretizationStage | None = None
             ) -> GeometryLike:
         """Get the geometry or discretization in the collection.
@@ -334,7 +371,7 @@ def get_discretization(
         else:
             return discr
 
-    def get_geometry(self, geometry: Hashable) -> GeometryLike:
+    def get_geometry(self, geometry: GeometryId) -> GeometryLike:
         """
         :arg geometry: the identifier of the geometry in the collection.
         """
@@ -346,7 +383,7 @@ def get_geometry(self, geometry: Hashable) -> GeometryLike:
 
     def copy(
             self,
-            places: Mapping[Hashable, GeometryLike] | None = None,
+            places: Mapping[GeometryId, GeometryLike] | None = None,
             auto_where: AutoWhereLike | None = None,
             ) -> GeometryCollection:
         """Get a shallow copy of the geometry collection."""
@@ -356,7 +393,7 @@ def copy(
 
     def merge(
             self,
-            places: GeometryCollection | Mapping[Hashable, GeometryLike],
+            places: GeometryCollection | Mapping[GeometryId, GeometryLike],
             ) -> GeometryCollection:
         """Merges two geometry collections and returns the new collection.
 
@@ -373,10 +410,12 @@ def merge(
 
         return self.copy(places=new_places)
 
-    def __repr__(self):
+    @override
+    def __repr__(self) -> str:
         return f"{type(self).__name__}({self.places!r})"
 
-    def __str__(self):
+    @override
+    def __str__(self) -> str:
         return f"{type(self).__name__}({self.places!r})"
 
 
@@ -387,7 +426,7 @@ def __str__(self):
 
 def add_geometry_to_collection(
         places: GeometryCollection,
-        geometries: Mapping[Hashable, GeometryLike]) -> GeometryCollection:
+        geometries: Mapping[GeometryId, GeometryLike]) -> GeometryCollection:
     """Adds a mapping of geometries to an existing collection.
 
     This function is similar to :meth:`GeometryCollection.merge`, but it makes

From 9c20299ddd804ed55f52bfb13371ac05d7aa559d Mon Sep 17 00:00:00 2001
From: Alexandru Fikl <alexfikl@gmail.com>
Date: Tue, 12 Aug 2025 20:13:19 +0300
Subject: [PATCH 02/12] feat(typing): update type for preprocess_optemplate

---
 pytential/source.py | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/pytential/source.py b/pytential/source.py
index c6e072941..252f41560 100644
--- a/pytential/source.py
+++ b/pytential/source.py
@@ -103,7 +103,7 @@ def get_p2p(self,
         """
 
     def preprocess_optemplate(self,
-                name: str,
+                name: Hashable,
                 discretizations: GeometryCollection,
                 expr: T) -> T:
         """

From 89521ce04f46f47d5a1df5a41c7192ee24604c9a Mon Sep 17 00:00:00 2001
From: Alexandru Fikl <alexfikl@gmail.com>
Date: Tue, 12 Aug 2025 20:13:56 +0300
Subject: [PATCH 03/12] feat(typing): add and simplify types in dof_connection

---
 pytential/symbolic/dof_connection.py | 149 +++++++++++++++------------
 1 file changed, 82 insertions(+), 67 deletions(-)

diff --git a/pytential/symbolic/dof_connection.py b/pytential/symbolic/dof_connection.py
index e488f53b7..23da50ad7 100644
--- a/pytential/symbolic/dof_connection.py
+++ b/pytential/symbolic/dof_connection.py
@@ -26,19 +26,36 @@
 THE SOFTWARE.
 """
 
+from typing import TYPE_CHECKING
+
 import numpy as np  # noqa: F401
+from typing_extensions import override
 
 import loopy as lp
+from meshmode.discretization import Discretization
+from meshmode.discretization.connection import (
+    DiscretizationConnection,
+    IdentityDiscretizationConnection,
+)
 from meshmode.dof_array import DOFArray
 from pytools import memoize_in
 
+from pytential.symbolic import dof_desc
+
+
+if TYPE_CHECKING:
+    from collections.abc import Sequence
+
+    from arraycontext import Array, ArrayOrContainerOrScalarT
+
+    from pytential.collection import GeometryCollection
+    from pytential.symbolic.dof_desc import DOFDescriptor, DOFDescriptorLike
 
 __doc__ = """
 
 Connections
 -----------
 
-.. autoclass:: GranularityConnection
 .. autoclass:: CenterGranularityConnection
 .. autoclass:: DOFConnection
 .. autofunction:: connection_from_dds
@@ -48,31 +65,9 @@
 
 # {{{ granularity connections
 
-class GranularityConnection:
-    """Abstract interface for transporting a DOF between different levels
-    of granularity.
-
-    .. attribute:: discr
-    .. automethod:: __call__
-    """
-
-    def __init__(self, discr):
-        self.discr = discr
-
-    @property
-    def from_discr(self):
-        return self.discr
-
-    @property
-    def to_discr(self):
-        return self.discr
-
-    def __call__(self, ary):
-        raise NotImplementedError()
-
-
-class CenterGranularityConnection(GranularityConnection):
-    """A :class:`GranularityConnection` used to transport from node data
+class CenterGranularityConnection(DiscretizationConnection):
+    """A :class:`~meshmode.discretization.connection.DiscretizationConnection`
+    used to transport from node data
     (:class:`~pytential.symbolic.primitives.GRANULARITY_NODE`) to expansion
     centers (:class:`~pytential.symbolic.primitives.GRANULARITY_CENTER`).
 
@@ -80,20 +75,22 @@ class CenterGranularityConnection(GranularityConnection):
     .. automethod:: __call__
     """
 
-    def __init__(self, discr):
-        super().__init__(discr)
+    def __init__(self, discr: Discretization) -> None:
+        super().__init__(discr, discr, is_surjective=False)
 
-    def _interleave_dof_arrays(self, ary1, ary2):
+    def _interleave_dof_arrays(self, ary1: DOFArray, ary2: DOFArray) -> DOFArray:
         if not isinstance(ary1, DOFArray) or not isinstance(ary2, DOFArray):
             raise TypeError("non-array passed to connection")
 
         if ary1.array_context is not ary2.array_context:
             raise ValueError("array context of the two arguments must match")
 
+        if ary1.array_context is None:
+            raise ValueError("cannot transport frozen arrays")
+
         actx = ary1.array_context
 
-        @memoize_in(actx,
-                 (CenterGranularityConnection, "interleave"))
+        @memoize_in(actx, (CenterGranularityConnection, "interleave"))
         def prg():
             from arraycontext import make_loopy_program
             t_unit = make_loopy_program(
@@ -117,8 +114,9 @@ def prg():
                 "iel": ConcurrentElementInameTag(),
                 "idof": ConcurrentDOFInameTag()})
 
-        results = []
-        for grp, subary1, subary2 in zip(self.discr.groups, ary1, ary2, strict=True):
+        discr = self.from_discr
+        results: list[Array] = []
+        for grp, subary1, subary2 in zip(discr.groups, ary1, ary2, strict=True):
             if subary1.dtype != subary2.dtype:
                 raise ValueError("dtype mismatch in inputs: "
                     f"'{subary1.dtype.name}' and '{subary2.dtype.name}'")
@@ -135,7 +133,8 @@ def prg():
 
         return DOFArray(actx, tuple(results))
 
-    def __call__(self, arys):
+    @override
+    def __call__(self, arys: ArrayOrContainerOrScalarT) -> ArrayOrContainerOrScalarT:
         r"""
         :param arys: a pair of :class:`~arraycontext.ArrayContainer`-like
             classes. Can also be a single element, in which case it is
@@ -165,17 +164,15 @@ def __call__(self, arys):
 
 # {{{ dof connection
 
-class DOFConnection:
+class DOFConnection(DiscretizationConnection):
     """An interpolation operation for converting a DOF vector between
     different DOF types, as described by
     :class:`~pytential.symbolic.dof_desc.DOFDescriptor`.
 
     .. attribute:: connections
 
-        A list of
-        :class:`~meshmode.discretization.connection.DiscretizationConnection`s
-        and :class:`GranularityConnection`s used to transport from the given
-        source to the target.
+        A list of :class:`~meshmode.discretization.connection.DiscretizationConnection`s
+        used to transport from the given source to the target.
 
     .. attribute:: from_dd
 
@@ -193,29 +190,42 @@ class DOFConnection:
     .. automethod:: __call__
     """
 
-    def __init__(self, connections, from_dd=None, to_dd=None):
-        self.from_dd = from_dd
-        self.to_dd = to_dd
-        self.connections = connections
+    from_dd: DOFDescriptor
+    to_dd: DOFDescriptor
+    connections: tuple[DiscretizationConnection, ...]
+
+    def __init__(self,
+                 connections: Sequence[DiscretizationConnection],
+                 from_dd: DOFDescriptorLike | None = None,
+                 to_dd: DOFDescriptorLike | None = None) -> None:
+        self.from_dd = dof_desc.as_dofdesc(from_dd)
+        self.to_dd = dof_desc.as_dofdesc(to_dd)
+        self.connections = tuple(connections)
+
+        if not self.connections:
+            raise ValueError(
+                "no connections given (use 'IdentityDiscretizationConnection')")
 
         from meshmode.discretization.connection import DiscretizationConnection
         for conn in self.connections:
-            if not isinstance(conn,
-                    DiscretizationConnection | GranularityConnection):
-                raise ValueError("unsupported connection type: {type(conn)}")
+            if not isinstance(conn, DiscretizationConnection):
+                raise ValueError(f"unsupported connection type: {type(conn)}")
 
-        if self.connections:
-            self.from_discr = self.connections[0].from_discr
-            self.to_discr = self.connections[-1].to_discr
+        from_discr = self.connections[0].from_discr
+        to_discr = self.connections[-1].to_discr
+        super().__init__(from_discr, to_discr, is_surjective=False)
 
-    def __call__(self, ary):
+    @override
+    def __call__(self, ary: ArrayOrContainerOrScalarT) -> ArrayOrContainerOrScalarT:
         for conn in self.connections:
             ary = conn(ary)
 
         return ary
 
 
-def connection_from_dds(places, from_dd, to_dd):
+def connection_from_dds(places: GeometryCollection,
+                        from_dd: DOFDescriptorLike,
+                        to_dd: DOFDescriptorLike) -> DiscretizationConnection:
     """
     :arg places: a :class:`~pytential.collection.GeometryCollection`
         or an argument taken by its constructor.
@@ -229,9 +239,8 @@ def connection_from_dds(places, from_dd, to_dd):
         kinds of DOF vectors.
     """
 
-    from pytential import sym
-    from_dd = sym.as_dofdesc(from_dd)
-    to_dd = sym.as_dofdesc(to_dd)
+    from_dd = dof_desc.as_dofdesc(from_dd)
+    to_dd = dof_desc.as_dofdesc(to_dd)
 
     from pytential import GeometryCollection
     if not isinstance(places, GeometryCollection):
@@ -241,31 +250,33 @@ def connection_from_dds(places, from_dd, to_dd):
     from_discr = places.get_discretization(from_dd.geometry, from_dd.discr_stage)
     to_discr = places.get_discretization(to_dd.geometry, to_dd.discr_stage)
 
+    assert isinstance(from_discr, Discretization)
+    assert isinstance(to_discr, Discretization)
+
     if from_dd.geometry != to_dd.geometry:
         raise ValueError("cannot interpolate between different geometries")
 
-    if from_dd.granularity is not sym.GRANULARITY_NODE:
+    if from_dd.granularity is not dof_desc.GRANULARITY_NODE:
         raise ValueError("can only interpolate from `GRANULARITY_NODE`")
 
-    connections = []
+    connections: list[DiscretizationConnection] = []
     if from_dd.discr_stage is not to_dd.discr_stage:
         from pytential.qbx import QBXLayerPotentialSource
         if not isinstance(lpot, QBXLayerPotentialSource):
             raise ValueError("can only interpolate on a "
                     "`QBXLayerPotentialSource`")
 
-        if to_dd.discr_stage is not sym.QBX_SOURCE_QUAD_STAGE2:
+        if to_dd.discr_stage is not dof_desc.QBX_SOURCE_QUAD_STAGE2:
             # TODO: can probably extend this to project from a QUAD_STAGE2
             # using L2ProjectionInverseDiscretizationConnection
-            raise ValueError("can only interpolate to "
-                "`QBX_SOURCE_QUAD_STAGE2`")
+            raise ValueError("can only interpolate to `QBX_SOURCE_QUAD_STAGE2`")
 
         # FIXME: would be nice if these were ordered by themselves
         stage_name_to_index_map = {
                 None: 0,
-                sym.QBX_SOURCE_STAGE1: 1,
-                sym.QBX_SOURCE_STAGE2: 2,
-                sym.QBX_SOURCE_QUAD_STAGE2: 3
+                dof_desc.QBX_SOURCE_STAGE1: 1,
+                dof_desc.QBX_SOURCE_STAGE2: 2,
+                dof_desc.QBX_SOURCE_QUAD_STAGE2: 3
                 }
         stage_index_to_name_map = {
                 i: name for name, i in stage_name_to_index_map.items()}
@@ -274,24 +285,28 @@ def connection_from_dds(places, from_dd, to_dd):
         to_stage = stage_name_to_index_map[to_dd.discr_stage]
 
         for istage in range(from_stage, to_stage):
-            conn = places._get_conn_from_cache(from_dd.geometry,
+            conn = places._get_conn_from_cache(
+                    from_dd.geometry,
                     stage_index_to_name_map[istage],
                     stage_index_to_name_map[istage + 1])
             connections.append(conn)
 
     if from_dd.granularity is not to_dd.granularity:
-        if to_dd.granularity is sym.GRANULARITY_NODE:
+        if to_dd.granularity is dof_desc.GRANULARITY_NODE:
             pass
-        elif to_dd.granularity is sym.GRANULARITY_CENTER:
+        elif to_dd.granularity is dof_desc.GRANULARITY_CENTER:
             connections.append(CenterGranularityConnection(to_discr))
-        elif to_dd.granularity is sym.GRANULARITY_ELEMENT:
+        elif to_dd.granularity is dof_desc.GRANULARITY_ELEMENT:
             raise ValueError("Creating a connection to element granularity "
                     "is not allowed. Use Elementwise{Max,Min,Sum}.")
         else:
             raise ValueError(f"invalid to_dd granularity: {to_dd.granularity}")
 
     if from_dd.granularity is not to_dd.granularity:
-        conn = DOFConnection(connections, from_dd=from_dd, to_dd=to_dd)
+        if connections:
+            conn = DOFConnection(connections, from_dd=from_dd, to_dd=to_dd)
+        else:
+            conn = IdentityDiscretizationConnection(from_discr)
     else:
         from meshmode.discretization.connection import ChainedDiscretizationConnection
         conn = ChainedDiscretizationConnection(connections,

From 976bf9f52246d67fe3a0c53b2cb46f3a9fa14a84 Mon Sep 17 00:00:00 2001
From: Alexandru Fikl <alexfikl@gmail.com>
Date: Tue, 12 Aug 2025 20:14:41 +0300
Subject: [PATCH 04/12] feat(typing): add more types to symbolic.execution

---
 pytential/symbolic/execution.py | 8 +++++---
 1 file changed, 5 insertions(+), 3 deletions(-)

diff --git a/pytential/symbolic/execution.py b/pytential/symbolic/execution.py
index 09732be73..3ab49dc53 100644
--- a/pytential/symbolic/execution.py
+++ b/pytential/symbolic/execution.py
@@ -620,7 +620,9 @@ def _prepare_auto_where(
     return (sym.as_dofdesc(auto_source), sym.as_dofdesc(auto_target))
 
 
-def _prepare_expr(places, expr, auto_where=None):
+def _prepare_expr(places: GeometryCollection,
+                  expr: OperandTc,
+                  auto_where: AutoWhereLike | None = None) -> OperandTc:
     """
     :arg places: :class:`~pytential.collection.GeometryCollection`.
     :arg expr: a symbolic expression.
@@ -747,7 +749,7 @@ class BoundExpression(Generic[OperandTc]):
     Created by calling :func:`pytential.bind`.
     """
 
-    def __init__(self, places, sym_op_expr):
+    def __init__(self, places: GeometryCollection, sym_op_expr: OperandTc) -> None:
         self.places: GeometryCollection = places
         self.sym_op_expr: OperandTc = sym_op_expr
         self.caches: dict[Hashable, object] = {}
@@ -758,7 +760,7 @@ def code(self):
         from pytential.symbolic.compiler import OperatorCompiler
         return OperatorCompiler(self.places)(self.sym_op_expr)
 
-    def _get_cache(self, name):
+    def _get_cache(self, name: Hashable) -> object:
         return self.caches.setdefault(name, {})
 
     def cost_per_stage(self, calibration_params, **kwargs):

From 1ce610fbcd2c18b1ffc2695d91915b0386e2129d Mon Sep 17 00:00:00 2001
From: Alexandru Fikl <alexfikl@gmail.com>
Date: Wed, 13 Aug 2025 10:16:27 +0300
Subject: [PATCH 05/12] feat(typing): add more types to symbolic.dof_desc

---
 pytential/symbolic/dof_desc.py | 92 ++++++++++++++++++----------------
 1 file changed, 48 insertions(+), 44 deletions(-)

diff --git a/pytential/symbolic/dof_desc.py b/pytential/symbolic/dof_desc.py
index 24dd97350..d1562be79 100644
--- a/pytential/symbolic/dof_desc.py
+++ b/pytential/symbolic/dof_desc.py
@@ -26,6 +26,8 @@
 from collections.abc import Hashable
 from typing import Any, TypeAlias
 
+from typing_extensions import override
+
 
 __doc__ = """
 .. autoclass:: DEFAULT_SOURCE
@@ -42,19 +44,10 @@
 .. autoclass:: DOFDescriptor
 .. autofunction:: as_dofdesc
 
-.. class:: DiscretizationStages
-
-    A :class:`~typing.Union` of all the allowed discretization stages.
-
-.. class:: DOFGranularities
-
-    A :class:`~typing.Union` of all the allowed DOF granularity types.
-
-.. class:: DOFDescriptorLike
-
-    Types convertible to a :class:`~pytential.symbolic.dof_desc.DOFDescriptor`
-    by :func:`~pytential.symbolic.dof_desc.as_dofdesc`.
-
+.. autodata:: GeometryId
+.. autodata:: DiscretizationStage
+.. autodata:: DOFGranularity
+.. autodata:: DOFDescriptorLike
 """
 
 
@@ -120,9 +113,6 @@ class GRANULARITY_ELEMENT:              # noqa: N801
 # }}}
 
 
-GeometryId: TypeAlias = Hashable
-
-
 # {{{ DOFDescriptor
 
 class _NoArgSentinel:
@@ -137,28 +127,9 @@ class DOFDescriptor:
     :attr:`granularity`, the data structure describes how the geometric object
     is discretized (e.g. conventional nodal data, per-element scalars, etc.)
 
-    .. attribute:: geometry
-
-        An identifier for the geometry on which the DOFs exist. This can be a
-        simple string or any other hashable identifier for the geometric object.
-        The geometric objects are generally subclasses of
-        :class:`~pytential.source.PotentialSource`,
-        :class:`~pytential.target.TargetBase` or
-        :class:`~meshmode.discretization.Discretization`.
-
-    .. attribute:: discr_stage
-
-        Specific to a :class:`pytential.source.LayerPotentialSourceBase`,
-        this describes on which of the discretizations the
-        DOFs are defined. Can be one of :class:`QBX_SOURCE_STAGE1`,
-        :class:`QBX_SOURCE_STAGE2` or :class:`QBX_SOURCE_QUAD_STAGE2`.
-
-    .. attribute:: granularity
-
-        Describes the level of granularity of the DOF vector.
-        Can be one of :class:`GRANULARITY_NODE` (one DOF per node),
-        :class:`GRANULARITY_CENTER` (two DOFs per node, one per side) or
-        :class:`GRANULARITY_ELEMENT` (one DOF per element).
+    .. autoattribute:: geometry
+    .. autoattribute:: discr_stage
+    .. autoattribute:: granularity
 
     .. automethod:: copy
     .. automethod:: to_stage1
@@ -166,6 +137,28 @@ class DOFDescriptor:
     .. automethod:: to_quad_stage2
     """
 
+    geometry: GeometryId
+    """An identifier for the geometry on which the DOFs exist. This can be a
+    simple string or any other hashable identifier for the geometric object.
+    The geometric objects are generally subclasses of
+    :class:`~pytential.source.PotentialSource`,
+    :class:`~pytential.target.TargetBase` or
+    :class:`~meshmode.discretization.Discretization`.
+    """
+
+    discr_stage: DiscretizationStage | None
+    """Specific to a :class:`pytential.source.LayerPotentialSourceBase`, this
+    describes on which of the discretizations the DOFs are defined. Can be one
+    of :class:`QBX_SOURCE_STAGE1`, :class:`QBX_SOURCE_STAGE2` or
+    :class:`QBX_SOURCE_QUAD_STAGE2`.
+    """
+
+    granularity: DOFGranularity
+    """Describes the level of granularity of the DOF vector. Can be one of
+    :class:`GRANULARITY_NODE` (one DOF per node), :class:`GRANULARITY_CENTER`
+    (two DOFs per node, one per side) or :class:`GRANULARITY_ELEMENT` (one DOF
+    per element)."""
+
     def __init__(self,
             geometry: GeometryId | None = None,
             discr_stage: DiscretizationStage | None = None,
@@ -228,6 +221,7 @@ def __eq__(self, other: Any) -> bool:
     def __ne__(self, other: Any) -> bool:
         return not self.__eq__(other)
 
+    @override
     def __repr__(self) -> str:
         discr_stage = self.discr_stage \
                 if self.discr_stage is None else self.discr_stage.__name__
@@ -235,8 +229,9 @@ def __repr__(self) -> str:
         return "{}(geometry={}, stage={}, granularity={})".format(
                 type(self).__name__, self.geometry, discr_stage, granularity)
 
+    @override
     def __str__(self) -> str:
-        name = []
+        name: list[str] = []
         if self.geometry is None:
             name.append("?")
         elif self.geometry in (_UNNAMED_SOURCE, DEFAULT_SOURCE):
@@ -268,10 +263,10 @@ def as_dofdesc(desc: DOFDescriptorLike) -> DOFDescriptor:
 
     if desc in (QBX_SOURCE_STAGE1, QBX_SOURCE_STAGE2, QBX_SOURCE_QUAD_STAGE2):
         # NOTE: mypy is not able to be more specific about the type of `desc`
-        return DOFDescriptor(discr_stage=desc)  # type: ignore[arg-type]
+        return DOFDescriptor(discr_stage=desc)
 
     if desc in (GRANULARITY_NODE, GRANULARITY_CENTER, GRANULARITY_ELEMENT):
-        return DOFDescriptor(granularity=desc)  # type: ignore[arg-type]
+        return DOFDescriptor(granularity=desc)
 
     return DOFDescriptor(geometry=desc)
 
@@ -282,18 +277,27 @@ def as_dofdesc(desc: DOFDescriptorLike) -> DOFDescriptor:
 
 DEFAULT_DOFDESC = DOFDescriptor()
 
-DiscretizationStage = (
+GeometryId: TypeAlias = Hashable
+"""Type used for geometry identifiers."""
+
+DiscretizationStage: TypeAlias = (
         type[QBX_SOURCE_STAGE1]
         | type[QBX_SOURCE_STAGE2]
         | type[QBX_SOURCE_QUAD_STAGE2]
         )
+"""A :class:`~typing.Union` of all the allowed discretization stages."""
 
-DOFGranularity = (
+DOFGranularity: TypeAlias = (
         type[GRANULARITY_NODE]
         | type[GRANULARITY_CENTER]
         | type[GRANULARITY_ELEMENT]
         )
+"""A :class:`~typing.Union` of all the allowed DOF granularity types."""
+
+DOFDescriptorLike: TypeAlias = DOFDescriptor | GeometryId
+"""Types convertible to a :class:`~pytential.symbolic.dof_desc.DOFDescriptor`
+by :func:`~pytential.symbolic.dof_desc.as_dofdesc`.
+"""
 
-DOFDescriptorLike = DOFDescriptor | GeometryId
 
 # }}}

From 3b58ee49105e3a001711fd24392579f862ec98ef Mon Sep 17 00:00:00 2001
From: Alexandru Fikl <alexfikl@gmail.com>
Date: Tue, 12 Aug 2025 20:15:07 +0300
Subject: [PATCH 06/12] feat(typing): update types for linalg.utils

---
 pytential/linalg/utils.py | 70 ++++++++++++++++++++++++---------------
 1 file changed, 43 insertions(+), 27 deletions(-)

diff --git a/pytential/linalg/utils.py b/pytential/linalg/utils.py
index dc4dce82c..d7bc12898 100644
--- a/pytential/linalg/utils.py
+++ b/pytential/linalg/utils.py
@@ -24,15 +24,17 @@
 """
 
 from dataclasses import dataclass
-from typing import TYPE_CHECKING, Any
+from typing import TYPE_CHECKING, Any, TypeVar
 
 import numpy as np
 import numpy.linalg as la
 
-from pytools import memoize_in, memoize_method
+from pytools import memoize_in, memoize_method, obj_array
 
 
 if TYPE_CHECKING:
+    from numpy.typing import NDArray
+
     from arraycontext import Array, PyOpenCLArrayContext
 
     from pytential.linalg.skeletonization import SkeletonizationResult
@@ -42,6 +44,8 @@
 Misc
 ~~~~
 
+.. autoclass:: InexactT
+
 .. currentmodule:: pytential.linalg
 
 .. autoclass:: IndexList
@@ -51,6 +55,8 @@
 .. autofunction:: make_index_cluster_cartesian_product
 """
 
+InexactT = TypeVar("InexactT", bound=np.inexact)
+
 
 # {{{ cluster index handling
 
@@ -76,21 +82,21 @@ class IndexList:
     .. automethod:: cluster_take
     """
 
-    indices: np.ndarray
-    starts: np.ndarray
+    indices: NDArray[np.integer]
+    starts: NDArray[np.integer]
 
     @property
     def nclusters(self) -> int:
         return self.starts.size - 1
 
-    def cluster_size(self, i: int) -> int:
+    def cluster_size(self, i: int | np.integer) -> int:
         if not (0 <= i < self.nclusters):
             raise IndexError(
                     f"cluster {i} is out of bounds for {self.nclusters} clusters")
 
         return self.starts[i + 1] - self.starts[i]
 
-    def cluster_indices(self, i: int) -> np.ndarray:
+    def cluster_indices(self, i: int | np.integer) -> NDArray[np.integer]:
         """
         :returns: a view into the :attr:`indices` array for the range
             corresponding to cluster *i*.
@@ -101,7 +107,9 @@ def cluster_indices(self, i: int) -> np.ndarray:
 
         return self.indices[self.starts[i]:self.starts[i + 1]]
 
-    def cluster_take(self, x: np.ndarray, i: int) -> np.ndarray:
+    def cluster_take(self,
+                     x: NDArray[InexactT],
+                     i: int | np.integer) -> NDArray[InexactT]:
         """
         :returns: a subset of *x* corresponding to the indices in cluster *i*.
             The returned array is a copy (not a view) of the elements of *x*.
@@ -135,7 +143,7 @@ class TargetAndSourceClusterList:
     targets: IndexList
     sources: IndexList
 
-    def __post_init__(self):
+    def __post_init__(self) -> None:
         if self.targets.nclusters != self.sources.nclusters:
             raise ValueError(
                     "targets and sources must have the same number of clusters: "
@@ -143,35 +151,41 @@ def __post_init__(self):
                     f"and {self.sources.nclusters} source clusters")
 
     @property
-    def nclusters(self):
+    def nclusters(self) -> int:
         return self.targets.nclusters
 
     @property
     @memoize_method
-    def _flat_cluster_starts(self):
+    def _flat_cluster_starts(self) -> NDArray[np.integer]:
         return np.cumsum([0] + [
             self.targets.cluster_size(i) * self.sources.cluster_size(i)
             for i in range(self.nclusters)
             ])
 
     @property
-    def _flat_total_size(self):
+    def _flat_total_size(self) -> int:
         return self._flat_cluster_starts[-1]
 
-    def cluster_shape(self, i: int, j: int) -> tuple[int, int]:
+    def cluster_shape(
+            self, i: int | np.integer, j: int | np.integer
+        ) -> tuple[int, int]:
         r"""
         :returns: the shape of the cluster ``(i, j)``, where *i* indexes into
             the :attr:`targets` and *j* into the :attr:`sources`.
         """
         return (self.targets.cluster_size(i), self.sources.cluster_size(j))
 
-    def cluster_indices(self, i: int, j: int) -> tuple[np.ndarray, np.ndarray]:
+    def cluster_indices(
+            self, i: int | np.integer, j: int | np.integer
+        ) -> tuple[NDArray[np.integer], NDArray[np.integer]]:
         """
         :returns: a view into the indices that make up the cluster ``(i, j)``.
         """
         return (self.targets.cluster_indices(i), self.sources.cluster_indices(j))
 
-    def cluster_take(self, x: np.ndarray, i: int, j: int) -> np.ndarray:
+    def cluster_take(
+            self, x: NDArray[InexactT], i: int | np.integer, j: int | np.integer
+        ) -> NDArray[InexactT]:
         """
         :returns: a subset of the matrix *x* corresponding to the indices in
             the cluster ``(i, j)``. The returned array is a copy of the elements
@@ -182,7 +196,7 @@ def cluster_take(self, x: np.ndarray, i: int, j: int) -> np.ndarray:
         itargets, isources = self.cluster_indices(i, j)
         return x[np.ix_(itargets, isources)]
 
-    def flat_cluster_take(self, x: np.ndarray, i: int) -> np.ndarray:
+    def flat_cluster_take(self, x: NDArray[InexactT], i: int) -> NDArray[InexactT]:
         """
         :returns: a subset of an array *x* corresponding to the indices in
             the cluster *i*. Unlike :meth:`cluster_take`, this method indexes
@@ -196,8 +210,8 @@ def flat_cluster_take(self, x: np.ndarray, i: int) -> np.ndarray:
 
 
 def make_index_list(
-        indices: np.ndarray,
-        starts: np.ndarray | None = None) -> IndexList:
+        indices: NDArray[np.integer] | obj_array.ObjectArray1D[NDArray[np.integer]],
+        starts: NDArray[np.integer] | None = None) -> IndexList:
     """Wrap a ``(indices, starts)`` tuple into an :class:`IndexList`.
 
     :param starts: if *None*, then *indices* is expected to be an object
@@ -290,7 +304,7 @@ def prg():
         return knl.executor(actx.context)
 
     @memoize_in(mindex, (make_index_cluster_cartesian_product, "index_product"))
-    def _product():
+    def _product() -> tuple[Array, Array]:
         _, (tgtindices, srcindices) = prg()(actx.queue,
                 tgtindices=actx.from_numpy(mindex.targets.indices),
                 tgtstarts=actx.from_numpy(mindex.targets.starts),
@@ -306,8 +320,9 @@ def _product():
 
 
 def make_flat_cluster_diag(
-        mat: np.ndarray,
-        mindex: TargetAndSourceClusterList) -> np.ndarray:
+        mat: NDArray[InexactT],
+        mindex: TargetAndSourceClusterList,
+    ) -> obj_array.ObjectArray2D[NDArray[InexactT]]:
     """
     :param mat: a one-dimensional :class:`~numpy.ndarray` that has a one-to-one
         correspondence to the index sets constructed by
@@ -317,8 +332,7 @@ def make_flat_cluster_diag(
         diagonal element :math:`(i, i)` is the reshaped slice of *mat* that
         corresponds to the cluster :math:`i`.
     """
-    cluster_mat: np.ndarray = np.full((mindex.nclusters, mindex.nclusters), 0,
-                                      dtype=object)
+    cluster_mat = np.full((mindex.nclusters, mindex.nclusters), 0, dtype=object)
     for i in range(mindex.nclusters):
         shape = mindex.cluster_shape(i, i)
         cluster_mat[i, i] = mindex.flat_cluster_take(mat, i).reshape(*shape)
@@ -331,11 +345,11 @@ def make_flat_cluster_diag(
 # {{{ interpolative decomposition
 
 def interp_decomp(
-        A: np.ndarray, *,
+        A: NDArray[np.inexact], *,
         rank: int | None,
         eps: float | None,
         rng: np.random.Generator | None = None,
-        ) -> tuple[int, np.ndarray, np.ndarray]:
+        ) -> tuple[int, NDArray[np.integer], NDArray[np.inexact]]:
     """Wrapper for :func:`~scipy.linalg.interpolative.interp_decomp` that
     always has the same output signature.
 
@@ -357,6 +371,7 @@ def interp_decomp(
     import scipy.linalg.interpolative as sli
 
     if rank is None:
+        assert eps is not None
         k, idx, proj = sli.interp_decomp(A, eps, **kwargs)
     else:
         idx, proj = sli.interp_decomp(A, rank, **kwargs)
@@ -371,9 +386,10 @@ def interp_decomp(
 # {{{ cluster matrix errors
 
 def cluster_skeletonization_error(
-        mat: np.ndarray, skeleton: SkeletonizationResult, *,
+        mat: NDArray[Any],
+        skeleton: SkeletonizationResult, *,
         ord: float | None = None,
-        relative: bool = False) -> tuple[np.ndarray, np.ndarray]:
+        relative: bool = False) -> tuple[NDArray[np.floating], NDArray[np.floating]]:
     r"""Evaluate the cluster-wise skeletonization errors for the given *skeleton*.
 
     Errors are computed for all interactions between cluster :math:`i` and
@@ -407,7 +423,7 @@ def cluster_skeletonization_error(
     tgt_src_index = skeleton.tgt_src_index
     nclusters = skeleton.nclusters
 
-    def mnorm(x: np.ndarray, y: np.ndarray) -> np.floating[Any]:
+    def mnorm(x: NDArray[Any], y: NDArray[Any]) -> np.floating[Any]:
         result = la.norm(x - y, ord=ord)
         if relative:
             result = result / la.norm(x, ord=ord)

From c2efc6d462a28c6e105e987236687ba4a3b8b1fa Mon Sep 17 00:00:00 2001
From: Alexandru Fikl <alexfikl@gmail.com>
Date: Tue, 12 Aug 2025 20:15:20 +0300
Subject: [PATCH 07/12] feat(typing): update types for
 linalg.direct_solve_symbolic

---
 pytential/linalg/direct_solver_symbolic.py | 69 ++++++++++++++++------
 1 file changed, 51 insertions(+), 18 deletions(-)

diff --git a/pytential/linalg/direct_solver_symbolic.py b/pytential/linalg/direct_solver_symbolic.py
index c2e0c2afa..e0cbb24f7 100644
--- a/pytential/linalg/direct_solver_symbolic.py
+++ b/pytential/linalg/direct_solver_symbolic.py
@@ -23,11 +23,25 @@
 THE SOFTWARE.
 """
 
+from typing import TYPE_CHECKING
+
+from typing_extensions import override
+
 from pytools import obj_array
 
 from pytential.symbolic.mappers import IdentityMapper, LocationTagger, OperatorCollector
 
 
+if TYPE_CHECKING:
+    from collections.abc import Iterable
+
+    from pymbolic.primitives import Product, Sum
+    from pymbolic.typing import ArithmeticExpression, Scalar
+
+    from pytential.collection import GeometryCollection
+    from pytential.symbolic.dof_desc import DOFDescriptor, DOFDescriptorLike
+    from pytential.symbolic.primitives import IntG
+
 __doc__ = """
 .. autoclass:: KernelTransformationRemover
 .. autoclass:: IntGTermCollector
@@ -45,15 +59,24 @@ class PROXY_SKELETONIZATION_TARGET:             # noqa: N801
     pass
 
 
-def prepare_expr(places, exprs, auto_where=None):
+def prepare_expr(
+        places: GeometryCollection,
+        exprs: Iterable[ArithmeticExpression],
+        auto_where: tuple[DOFDescriptorLike, DOFDescriptorLike],
+    ) -> obj_array.ObjectArray1D[ArithmeticExpression]:
     from pytential.symbolic.execution import _prepare_expr
+
     return obj_array.new_1d([
         _prepare_expr(places, expr, auto_where=auto_where)
         for expr in exprs])
 
 
-def prepare_proxy_expr(places, exprs, auto_where=None):
-    def _prepare_expr(expr):
+def prepare_proxy_expr(
+        places: GeometryCollection,
+        exprs: Iterable[ArithmeticExpression],
+        auto_where: tuple[DOFDescriptorLike, DOFDescriptorLike],
+    ) -> obj_array.ObjectArray1D[ArithmeticExpression]:
+    def _prepare_expr(expr: ArithmeticExpression) -> ArithmeticExpression:
         # remove all diagonal / non-operator terms in the expression
         expr = IntGTermCollector()(expr)
         # ensure all IntGs remove all the kernel derivatives
@@ -87,10 +110,11 @@ def __init__(self):
             SourceTransformationRemover,
             TargetTransformationRemover,
         )
-        self.sxr = SourceTransformationRemover()
-        self.txr = TargetTransformationRemover()
+        self.sxr: SourceTransformationRemover = SourceTransformationRemover()
+        self.txr: TargetTransformationRemover = TargetTransformationRemover()
 
-    def map_int_g(self, expr):
+    @override
+    def map_int_g(self, expr: IntG) -> IntG:
         target_kernel = self.txr(expr.target_kernel)
         source_kernels = tuple(self.sxr(kernel) for kernel in expr.source_kernels)
         if (target_kernel == expr.target_kernel
@@ -99,7 +123,8 @@ def map_int_g(self, expr):
 
         # remove all args that come from the source transformations
         source_args = {
-            arg.name for kernel in expr.source_kernels
+            arg.name
+            for kernel in expr.source_kernels
             for arg in kernel.get_source_args()}
         kernel_arguments = {
             name: self.rec(arg) for name, arg in expr.kernel_arguments.items()
@@ -140,10 +165,11 @@ class IntGTermCollector(IdentityMapper):
     meant for self-evaluation.
     """
 
-    def map_sum(self, expr):
+    @override
+    def map_sum(self, expr: Sum) -> Sum:
         collector = OperatorCollector()
 
-        children = []
+        children: list[ArithmeticExpression] = []
         for child in expr.children:
             rec_child = self.rec(child)
             if collector(rec_child):
@@ -152,13 +178,15 @@ def map_sum(self, expr):
         from pymbolic.primitives import flattened_sum
         return flattened_sum(children)
 
-    def map_product(self, expr):
-
+    @override
+    def map_product(self, expr: Product) -> Product:
         collector = OperatorCollector()
 
         from pymbolic.primitives import is_constant
-        children_const = []
-        children_int_g = []
+
+        children_const: list[Scalar] = []
+        children_int_g: list[ArithmeticExpression] = []
+
         for child in expr.children:
             if is_constant(child):
                 children_const.append(child)
@@ -173,9 +201,10 @@ def map_product(self, expr):
                     children_int_g.append(rec_child)
 
         from pymbolic.primitives import flattened_product
-        return flattened_product(children_const + children_int_g)
+        return flattened_product([*children_const, *children_int_g])
 
-    def map_int_g(self, expr):
+    @override
+    def map_int_g(self, expr: IntG) -> IntG:
         return expr
 
 # }}}
@@ -189,10 +218,12 @@ class _LocationReplacer(LocationTagger):
     :class:`~pytential.symbolic.dof_desc.DOFDescriptor` in the expression.
     """
 
-    def _default_dofdesc(self, dofdesc):
+    @override
+    def _default_dofdesc(self, dofdesc: DOFDescriptorLike) -> DOFDescriptor:
         return self.default_target
 
-    def map_int_g(self, expr):
+    @override
+    def map_int_g(self, expr: IntG) -> IntG:
         return type(expr)(
                 expr.target_kernel, expr.source_kernels,
                 densities=self.operand_rec(expr.densities),
@@ -217,7 +248,9 @@ class DOFDescriptorReplacer(_LocationReplacer):
     .. automethod:: __init__
     """
 
-    def __init__(self, source, target):
+    operand_rec: _LocationReplacer
+
+    def __init__(self, source: DOFDescriptorLike, target: DOFDescriptorLike) -> None:
         """
         :param source: a descriptor for all expressions to be evaluated on
             the source geometry.

From f9b9b8c22e280e548d388ef6a6caeb791396e379 Mon Sep 17 00:00:00 2001
From: Alexandru Fikl <alexfikl@gmail.com>
Date: Tue, 12 Aug 2025 20:14:59 +0300
Subject: [PATCH 08/12] feat(typing): update types for linalg.proxy

---
 pytential/linalg/proxy.py | 85 +++++++++++++++++++++++++--------------
 1 file changed, 55 insertions(+), 30 deletions(-)

diff --git a/pytential/linalg/proxy.py b/pytential/linalg/proxy.py
index 4854869bd..8d98191ad 100644
--- a/pytential/linalg/proxy.py
+++ b/pytential/linalg/proxy.py
@@ -24,10 +24,11 @@
 """
 
 from dataclasses import dataclass
-from typing import TYPE_CHECKING, Any, cast
+from typing import TYPE_CHECKING, cast
 
 import numpy as np
 import numpy.linalg as la
+from typing_extensions import override
 
 import loopy as lp
 from arraycontext import Array, ArrayContainer, PyOpenCLArrayContext, flatten
@@ -43,10 +44,14 @@
 
 
 if TYPE_CHECKING:
-    from collections.abc import Callable
+    from collections.abc import Callable, Sequence
 
     from numpy.typing import NDArray
 
+    from boxtree.tree_build import TreeKind
+    from sumpy.expansion import ExpansionBase
+    from sumpy.kernel import Kernel
+
     from pytential.linalg.utils import IndexList
     from pytential.symbolic.dof_desc import DOFDescriptorLike
 
@@ -76,9 +81,10 @@
 # {{{ point index partitioning
 
 def partition_by_nodes(
-        actx: PyOpenCLArrayContext, places: GeometryCollection, *,
+        actx: PyOpenCLArrayContext,
+        places: GeometryCollection, *,
         dofdesc: DOFDescriptorLike | None = None,
-        tree_kind: str | None = "adaptive-level-restricted",
+        tree_kind: TreeKind | None = "adaptive-level-restricted",
         max_particles_in_box: int | None = None) -> IndexList:
     """Generate equally sized ranges of nodes. The partition is created at the
     lowest level of granularity, i.e. nodes. This results in balanced ranges
@@ -119,13 +125,14 @@ def partition_by_nodes(
 
         from boxtree import box_flags_enum
         tree = tree.get(actx.queue)
-        # FIXME maybe this should use IS_LEAF once available?
+        # FIXME: maybe this should use IS_LEAF once available?
+        assert tree.box_flags is not None
         leaf_boxes, = (
                 tree.box_flags & box_flags_enum.HAS_SOURCE_OR_TARGET_CHILD_BOXES == 0
                 ).nonzero()
 
-        indices: np.ndarray = np.empty(len(leaf_boxes), dtype=object)
-        starts: np.ndarray | None = None
+        indices = np.empty(len(leaf_boxes), dtype=object)
+        starts: NDArray[np.integer] | None = None
 
         for i, ibox in enumerate(leaf_boxes):
             box_start = tree.box_source_starts[ibox]
@@ -139,9 +146,6 @@ def partition_by_nodes(
         indices = np.arange(0, discr.ndofs, dtype=np.int64)
         starts = np.linspace(0, discr.ndofs, nclusters + 1, dtype=np.int64)
 
-        # FIXME: I'm not sure why mypy can't figure this out.
-        assert starts is not None
-
         assert starts[-1] == discr.ndofs
 
     from pytential.linalg import make_index_list
@@ -157,6 +161,8 @@ class ProxyPointSource(PointPotentialSource):
     .. automethod:: get_expansion_for_qbx_direct_eval
     """
 
+    lpot_source: QBXLayerPotentialSource
+
     def __init__(self,
             lpot_source: QBXLayerPotentialSource,
             proxies: Array) -> None:
@@ -170,7 +176,9 @@ def __init__(self,
         super().__init__(proxies)
         self.lpot_source = lpot_source
 
-    def get_expansion_for_qbx_direct_eval(self, base_kernel, target_kernels):
+    def get_expansion_for_qbx_direct_eval(
+            self, base_kernel: Kernel, target_kernels: Sequence[Kernel]
+        ) -> ExpansionBase:
         """Wrapper around
         ``pytential.qbx.QBXLayerPotentialSource.get_expansion_for_qbx_direct_eval``
         to allow this class to be used by the matrix builders.
@@ -180,6 +188,8 @@ def get_expansion_for_qbx_direct_eval(self, base_kernel, target_kernels):
 
 
 class ProxyPointTarget(PointsTarget):
+    lpot_source: QBXLayerPotentialSource
+
     def __init__(self,
             lpot_source: QBXLayerPotentialSource,
             proxies: Array) -> None:
@@ -235,21 +245,23 @@ class ProxyClusterGeometryData:
     srcindex: IndexList
     pxyindex: IndexList
 
-    points: NDArray[Any]
-    centers: NDArray[Any]
-    radii: NDArray[Any]
+    points: Array
+    centers: Array
+    radii: Array
 
-    _cluster_radii: np.ndarray | None = None
+    _cluster_radii: Array | None = None
 
     @property
     def nclusters(self) -> int:
         return self.srcindex.nclusters
 
     @property
-    def discr(self):
-        return self.places.get_discretization(
-                self.dofdesc.geometry,
-                self.dofdesc.discr_stage)
+    def discr(self) -> Discretization:
+        discr = self.places.get_discretization(
+            self.dofdesc.geometry, self.dofdesc.discr_stage)
+        assert isinstance(discr, Discretization)
+
+        return discr
 
     def to_numpy(self, actx: PyOpenCLArrayContext) -> ProxyClusterGeometryData:
         if self._cluster_radii is not None:
@@ -268,20 +280,22 @@ def as_sources(self) -> ProxyPointSource:
         lpot_source = self.places.get_geometry(self.dofdesc.geometry)
         assert isinstance(lpot_source, QBXLayerPotentialSource)
 
-        return ProxyPointSource(lpot_source, cast("Array", self.points))
+        return ProxyPointSource(lpot_source, self.points)
 
     def as_targets(self) -> ProxyPointTarget:
         lpot_source = self.places.get_geometry(self.dofdesc.geometry)
         assert isinstance(lpot_source, QBXLayerPotentialSource)
 
-        return ProxyPointTarget(lpot_source, cast("Array", self.points))
+        return ProxyPointTarget(lpot_source, self.points)
 
 # }}}
 
 
 # {{{ proxy point generator
 
-def _generate_unit_sphere(ambient_dim: int, approx_npoints: int) -> np.ndarray:
+def _generate_unit_sphere(
+        ambient_dim: int,
+        approx_npoints: int) -> NDArray[np.floating]:
     """Generate uniform points on a unit sphere.
 
     :arg ambient_dim: dimension of the ambient space.
@@ -306,7 +320,7 @@ def _generate_unit_sphere(ambient_dim: int, approx_npoints: int) -> np.ndarray:
 def make_compute_cluster_centers_kernel_ex(
         actx: PyOpenCLArrayContext, ndim: int, norm_type: str) -> lp.ExecutorBase:
     @memoize_in(actx, (make_compute_cluster_centers_kernel_ex, ndim, norm_type))
-    def prg():
+    def prg() -> lp.ExecutorBase:
         if norm_type == "l2":
             # NOTE: computes first-order approximation of the source centroids
             insns = """
@@ -368,13 +382,19 @@ class ProxyGeneratorBase:
     .. automethod:: __call__
     """
 
+    places: GeometryCollection
+    radius_factor: float
+    norm_type: str
+    ref_points: NDArray[np.floating]
+
     def __init__(
-            self, places: GeometryCollection,
+            self,
+            places: GeometryCollection,
             approx_nproxy: int | None = None,
             radius_factor: float | None = None,
             norm_type: str = "linf",
 
-            _generate_ref_proxies: Callable[[int], np.ndarray] | None = None,
+            _generate_ref_proxies: Callable[[int], NDArray[np.floating]] | None = None,
             ) -> None:
         """
         :param approx_nproxy: desired number of proxy points. In higher
@@ -433,7 +453,8 @@ def __call__(self,
             actx: PyOpenCLArrayContext,
             source_dd: DOFDescriptorLike | None,
             dof_index: IndexList,
-            **kwargs: Any) -> ProxyClusterGeometryData:
+            include_cluster_radii: bool = False,
+            **kwargs: ArrayContainer) -> ProxyClusterGeometryData:
         """Generate proxy points for each cluster in *dof_index_set* with nodes in
         the discretization *source_dd*.
 
@@ -449,8 +470,6 @@ def __call__(self,
                 source_dd.geometry, source_dd.discr_stage)
         assert isinstance(discr, Discretization)
 
-        include_cluster_radii = kwargs.pop("include_cluster_radii", False)
-
         # {{{ get proxy centers and radii
 
         sources = flatten(discr.nodes(), actx, leaf_class=DOFArray)
@@ -565,6 +584,7 @@ class ProxyGenerator(ProxyGeneratorBase):
     Inherits from :class:`ProxyGeneratorBase`.
     """
 
+    @override
     def get_radii_kernel_ex(self, actx: PyOpenCLArrayContext) -> lp.ExecutorBase:
         return make_compute_cluster_radii_kernel_ex(actx, self.ambient_dim)
 
@@ -572,7 +592,7 @@ def get_radii_kernel_ex(self, actx: PyOpenCLArrayContext) -> lp.ExecutorBase:
 def make_compute_cluster_qbx_radii_kernel_ex(
         actx: PyOpenCLArrayContext, ndim: int) -> lp.ExecutorBase:
     @memoize_in(actx, (make_compute_cluster_qbx_radii_kernel_ex, ndim))
-    def prg():
+    def prg() -> lp.ExecutorBase:
         knl = lp.make_kernel([
             "{[icluster]: 0 <= icluster < nclusters}",
             "{[i]: 0 <= i < npoints}",
@@ -629,13 +649,17 @@ class QBXProxyGenerator(ProxyGeneratorBase):
     Inherits from :class:`ProxyGeneratorBase`.
     """
 
+    @override
     def get_radii_kernel_ex(self, actx: PyOpenCLArrayContext) -> lp.ExecutorBase:
         return make_compute_cluster_qbx_radii_kernel_ex(actx, self.ambient_dim)
 
+    @override
     def __call__(self,
             actx: PyOpenCLArrayContext,
             source_dd: DOFDescriptorLike | None,
-            dof_index: IndexList, **kwargs) -> ProxyClusterGeometryData:
+            dof_index: IndexList,
+            include_cluster_radii: bool = False,
+            **kwargs: ArrayContainer) -> ProxyClusterGeometryData:
         if source_dd is None:
             source_dd = self.places.auto_source
         source_dd = sym.as_dofdesc(source_dd)
@@ -651,6 +675,7 @@ def __call__(self,
                 expansion_radii=flatten(radii, actx),
                 center_int=flatten(center_int, actx, leaf_class=DOFArray),
                 center_ext=flatten(center_ext, actx, leaf_class=DOFArray),
+                include_cluster_radii=include_cluster_radii,
                 **kwargs)
 
 # }}}

From 48a68d29a244f4e81dcbca08ff8d2e52af4c5061 Mon Sep 17 00:00:00 2001
From: Alexandru Fikl <alexfikl@gmail.com>
Date: Tue, 12 Aug 2025 20:15:31 +0300
Subject: [PATCH 09/12] feat(typing): update types for linalg.skeletonization

---
 pytential/linalg/skeletonization.py | 106 ++++++++++++++++------------
 1 file changed, 62 insertions(+), 44 deletions(-)

diff --git a/pytential/linalg/skeletonization.py b/pytential/linalg/skeletonization.py
index e23437f13..ce7942096 100644
--- a/pytential/linalg/skeletonization.py
+++ b/pytential/linalg/skeletonization.py
@@ -23,12 +23,15 @@
 THE SOFTWARE.
 """
 
-from collections.abc import Callable, Hashable, Sequence
 from dataclasses import dataclass
 from typing import TYPE_CHECKING, Any
 
 import numpy as np
 
+from meshmode.discretization import Discretization
+from pytools import memoize_in, obj_array
+
+from pytential import GeometryCollection, sym
 from pytential.linalg.direct_solver_symbolic import (
     PROXY_SKELETONIZATION_SOURCE,
     PROXY_SKELETONIZATION_TARGET,
@@ -39,9 +42,13 @@
 
 
 if TYPE_CHECKING:
+    from collections.abc import Callable, Hashable, Sequence
+
+    from numpy.typing import NDArray
+
     from arraycontext import Array, PyOpenCLArrayContext
+    from pymbolic.typing import ArithmeticExpression
 
-    from pytential import GeometryCollection, sym
     from pytential.linalg.proxy import ProxyClusterGeometryData, ProxyGeneratorBase
     from pytential.symbolic.matrix import ClusterMatrixBuilderBase
 
@@ -128,8 +135,6 @@ def _approximate_geometry_waa_magnitude(
         of the quadrature weights and area elements in the cluster. Currently,
         this is a simple average.
     """
-    from pytools import memoize_in
-
     from pytential import bind, sym
 
     @memoize_in(actx, (_approximate_geometry_waa_magnitude, "mean_over_cluster"))
@@ -165,11 +170,11 @@ def prg():
 
 def _apply_weights(
         actx: PyOpenCLArrayContext,
-        mat: np.ndarray,
+        mat: NDArray[Any],
         places: GeometryCollection,
         tgt_pxy_index: TargetAndSourceClusterList,
         cluster_index: IndexList,
-        domain: sym.DOFDescriptor) -> np.ndarray:
+        domain: sym.DOFDescriptor) -> NDArray[Any]:
     """Computes the weights using :func:`_approximate_geometry_waa_magnitude`
     and multiplies each cluster in *mat* by its corresponding weight.
 
@@ -259,7 +264,7 @@ class SkeletonizationWrangler:
     """
 
     # operator
-    exprs: np.ndarray
+    exprs: obj_array.ObjectArray1D[ArithmeticExpression]
     input_exprs: tuple[sym.var, ...]
     domains: tuple[sym.DOFDescriptor, ...]
     context: dict[str, Any]
@@ -268,12 +273,12 @@ class SkeletonizationWrangler:
 
     # target skeletonization
     weighted_targets: bool
-    target_proxy_exprs: np.ndarray
+    target_proxy_exprs: obj_array.ObjectArray1D[ArithmeticExpression]
     proxy_target_cluster_builder: type[ClusterMatrixBuilderBase]
 
     # source skeletonization
     weighted_sources: bool
-    source_proxy_exprs: np.ndarray
+    source_proxy_exprs: obj_array.ObjectArray1D[ArithmeticExpression]
     proxy_source_cluster_builder: type[ClusterMatrixBuilderBase]
 
     @property
@@ -284,13 +289,21 @@ def nrows(self) -> int:
     def ncols(self) -> int:
         return len(self.input_exprs)
 
-    def _evaluate_expr(self,
-            actx, places, eval_mapper_cls, tgt_src_index, expr, idomain,
-            **kwargs):
+    def _evaluate_expr(
+            self,
+            actx: PyOpenCLArrayContext,
+            places: GeometryCollection,
+            eval_mapper_cls: type[ClusterMatrixBuilderBase],
+            tgt_src_index: TargetAndSourceClusterList,
+            expr: ArithmeticExpression,
+            idomain: int,
+            **kwargs: Any) -> NDArray[Any]:
         domain = self.domains[idomain]
         dep_discr = places.get_discretization(domain.geometry, domain.discr_stage)
+        assert isinstance(dep_discr, Discretization)
 
-        return eval_mapper_cls(actx,
+        return eval_mapper_cls(
+                actx,
                 dep_expr=self.input_exprs[idomain],
                 other_dep_exprs=(
                     self.input_exprs[:idomain]
@@ -306,8 +319,9 @@ def _evaluate_expr(self,
     def evaluate_source_neighbor_interaction(self,
             actx: PyOpenCLArrayContext,
             places: GeometryCollection,
-            pxy: ProxyClusterGeometryData, nbrindex: IndexList, *,
-            ibrow: int, ibcol: int) -> tuple[np.ndarray, TargetAndSourceClusterList]:
+            pxy: ProxyClusterGeometryData,
+            nbrindex: IndexList, *,
+            ibrow: int, ibcol: int) -> tuple[NDArray[Any], TargetAndSourceClusterList]:
         nbr_src_index = TargetAndSourceClusterList(nbrindex, pxy.srcindex)
 
         eval_mapper_cls = self.neighbor_cluster_builder
@@ -321,8 +335,9 @@ def evaluate_source_neighbor_interaction(self,
     def evaluate_target_neighbor_interaction(self,
             actx: PyOpenCLArrayContext,
             places: GeometryCollection,
-            pxy: ProxyClusterGeometryData, nbrindex: IndexList, *,
-            ibrow: int, ibcol: int) -> tuple[np.ndarray, TargetAndSourceClusterList]:
+            pxy: ProxyClusterGeometryData,
+            nbrindex: IndexList, *,
+            ibrow: int, ibcol: int) -> tuple[NDArray[Any], TargetAndSourceClusterList]:
         tgt_nbr_index = TargetAndSourceClusterList(pxy.srcindex, nbrindex)
 
         eval_mapper_cls = self.neighbor_cluster_builder
@@ -340,8 +355,9 @@ def evaluate_target_neighbor_interaction(self,
     def evaluate_source_proxy_interaction(self,
             actx: PyOpenCLArrayContext,
             places: GeometryCollection,
-            pxy: ProxyClusterGeometryData, nbrindex: IndexList, *,
-            ibrow: int, ibcol: int) -> tuple[np.ndarray, TargetAndSourceClusterList]:
+            pxy: ProxyClusterGeometryData,
+            nbrindex: IndexList, *,
+            ibrow: int, ibcol: int) -> tuple[NDArray[Any], TargetAndSourceClusterList]:
         from pytential.collection import add_geometry_to_collection
         pxy_src_index = TargetAndSourceClusterList(pxy.pxyindex, pxy.srcindex)
         places = add_geometry_to_collection(
@@ -362,7 +378,7 @@ def evaluate_target_proxy_interaction(self,
             actx: PyOpenCLArrayContext,
             places: GeometryCollection,
             pxy: ProxyClusterGeometryData, nbrindex: IndexList, *,
-            ibrow: int, ibcol: int) -> tuple[np.ndarray, TargetAndSourceClusterList]:
+            ibrow: int, ibcol: int) -> tuple[NDArray[Any], TargetAndSourceClusterList]:
         from pytential.collection import add_geometry_to_collection
         tgt_pxy_index = TargetAndSourceClusterList(pxy.srcindex, pxy.pxyindex)
         places = add_geometry_to_collection(
@@ -389,7 +405,7 @@ def evaluate_target_proxy_interaction(self,
 
 def make_skeletonization_wrangler(
         places: GeometryCollection,
-        exprs: sym.var | Sequence[sym.var],
+        exprs: ArithmeticExpression | Sequence[ArithmeticExpression],
         input_exprs: sym.var | Sequence[sym.var], *,
         domains: Sequence[Hashable] | None = None,
         context: dict[str, Any] | None = None,
@@ -406,16 +422,17 @@ def make_skeletonization_wrangler(
 
     # {{{ setup expressions
 
-    try:
+    from pymbolic.primitives import is_arithmetic_expression
+
+    if is_arithmetic_expression(exprs):
+        lpot_exprs = [exprs]
+    else:
         lpot_exprs = list(exprs)
-    except TypeError:
-        lpot_exprs = [exprs]  # type: ignore[list-item]
 
-    try:
-        input_exprs = list(input_exprs)
-    except TypeError:
-        assert not isinstance(input_exprs, Sequence)
+    if isinstance(input_exprs, sym.var):
         input_exprs = [input_exprs]
+    else:
+        input_exprs = list(input_exprs)
 
     from pytential.symbolic.execution import _prepare_auto_where, _prepare_domains
 
@@ -526,13 +543,13 @@ class _ProxyNeighborEvaluationResult:
 
     pxy: ProxyClusterGeometryData
 
-    pxymat: np.ndarray
+    pxymat: NDArray[Any]
     pxyindex: TargetAndSourceClusterList
 
-    nbrmat: np.ndarray
+    nbrmat: NDArray[Any]
     nbrindex: TargetAndSourceClusterList
 
-    def __getitem__(self, i: int) -> tuple[np.ndarray, np.ndarray]:
+    def __getitem__(self, i: int) -> tuple[NDArray[Any], NDArray[Any]]:
         """
         :returns: a :class:`tuple` of ``(pxymat, nbrmat)`` containing the
             :math:`i`-th cluster interactions. The matrices are reshaped into
@@ -555,9 +572,9 @@ def _evaluate_proxy_skeletonization_interaction(
         wrangler: SkeletonizationWrangler,
         cluster_index: IndexList, *,
         evaluate_proxy: Callable[...,
-            tuple[np.ndarray, TargetAndSourceClusterList]],
+            tuple[NDArray[Any], TargetAndSourceClusterList]],
         evaluate_neighbor: Callable[...,
-            tuple[np.ndarray, TargetAndSourceClusterList]],
+            tuple[NDArray[Any], TargetAndSourceClusterList]],
         dofdesc: sym.DOFDescriptor | None = None,
         max_particles_in_box: int | None = None,
         ) -> _ProxyNeighborEvaluationResult:
@@ -625,12 +642,12 @@ def _skeletonize_block_by_proxy_with_mats(
                 ibrow=ibrow, ibcol=ibcol)
             )
 
-    src_skl_indices: np.ndarray = np.empty(nclusters, dtype=object)
-    tgt_skl_indices: np.ndarray = np.empty(nclusters, dtype=object)
-    skel_starts: np.ndarray = np.zeros(nclusters + 1, dtype=np.int32)
+    src_skl_indices = np.empty(nclusters, dtype=object)
+    tgt_skl_indices = np.empty(nclusters, dtype=object)
+    skel_starts = np.zeros(nclusters + 1, dtype=np.int32)
 
-    L: np.ndarray = np.empty(nclusters, dtype=object)
-    R: np.ndarray = np.empty(nclusters, dtype=object)
+    L = np.empty(nclusters, dtype=object)
+    R = np.empty(nclusters, dtype=object)
 
     from pytential.linalg import interp_decomp
 
@@ -730,8 +747,8 @@ class SkeletonizationResult:
         matrix.
     """
 
-    L: np.ndarray
-    R: np.ndarray
+    L: obj_array.ObjectArray1D[NDArray[Any]]
+    R: obj_array.ObjectArray1D[NDArray[Any]]
 
     tgt_src_index: TargetAndSourceClusterList
     skel_tgt_src_index: TargetAndSourceClusterList
@@ -741,7 +758,7 @@ class SkeletonizationResult:
     _src_eval_result: _ProxyNeighborEvaluationResult | None = None
     _tgt_eval_result: _ProxyNeighborEvaluationResult | None = None
 
-    def __post_init__(self):
+    def __post_init__(self) -> None:
         if __debug__:
             nclusters = self.tgt_src_index.nclusters
             shape = (nclusters,)
@@ -758,7 +775,7 @@ def __post_init__(self):
                 raise ValueError(f"'R' has shape {self.R.shape}, expected {shape}")
 
     @property
-    def nclusters(self):
+    def nclusters(self) -> int:
         return self.tgt_src_index.nclusters
 
 
@@ -778,7 +795,8 @@ def skeletonize_by_proxy(
         id_eps: float | None = None,
         id_rank: int | None = None,
         rng: np.random.Generator | None = None,
-        max_particles_in_box: int | None = None) -> np.ndarray:
+        max_particles_in_box: int | None = None,
+    ) -> obj_array.ObjectArray2D[NDArray[Any]]:
     r"""Evaluate and skeletonize a symbolic expression using proxy-based methods.
 
     :arg tgt_src_index: a :class:`~pytential.linalg.TargetAndSourceClusterList`
@@ -809,7 +827,7 @@ def skeletonize_by_proxy(
             approx_nproxy=approx_nproxy,
             radius_factor=proxy_radius_factor)
 
-    skels: np.ndarray = np.empty((wrangler.nrows, wrangler.ncols), dtype=object)
+    skels = np.empty((wrangler.nrows, wrangler.ncols), dtype=object)
     for ibrow in range(wrangler.nrows):
         for ibcol in range(wrangler.ncols):
             skels[ibrow, ibcol] = _skeletonize_block_by_proxy_with_mats(

From 41fdef350c03551d06284c4d740a1022b7ca0083 Mon Sep 17 00:00:00 2001
From: Alexandru Fikl <alexfikl@gmail.com>
Date: Tue, 12 Aug 2025 20:49:32 +0300
Subject: [PATCH 10/12] docs: add missing references

---
 doc/conf.py        | 31 ++++++++++++++++++++++---------
 pytential/utils.py |  5 ++---
 2 files changed, 24 insertions(+), 12 deletions(-)

diff --git a/doc/conf.py b/doc/conf.py
index dc6b28635..71043e18a 100644
--- a/doc/conf.py
+++ b/doc/conf.py
@@ -13,8 +13,8 @@
 
 autodoc_type_aliases = {
         "GeometryLike": "pytential.collection.GeometryLike",
-        "DiscretizationStages": "pytential.symbolic.dof_desc.DiscretizationStages",
-        "DOFGranularities": "pytential.symbolic.dof_desc.DOFGranularities",
+        "DiscretizationStage": "pytential.symbolic.dof_desc.DiscretizationStage",
+        "DOFGranularity": "pytential.symbolic.dof_desc.DOFGranularity",
         "DOFDescriptorLike": "pytential.symbolic.dof_desc.DOFDescriptorLike",
         }
 
@@ -40,41 +40,54 @@
     ["py:class", r"TypeAliasForwardRef"],
     ["py:class", r"arraycontext.typing._UserDefinedArrayContainer"],
     ["py:class", r"arraycontext.typing._UserDefinedArithArrayContainer"],
-    ["py:class", r"T"],
+    ["py:class", r"TreeKind"],
 ]
 
 
 sphinxconfig_missing_reference_aliases = {
     # numpy
     "NDArray": "obj:numpy.typing.NDArray",
+    "np.integer": "obj:numpy.integer",
+    "np.floating": "obj:numpy.floating",
     # pytools
     "ObjectArrayND": "obj:pytools.obj_array.ObjectArrayND",
+    "T": "obj:pytools.T",
+    "obj_array.ObjectArray1D": "obj:pytools.obj_array.ObjectArray1D",
     # pyopencl
     "WaitList": "obj:pyopencl.WaitList",
     # pymbolic
-    "Variable": "class:pymbolic.primitives.Variable",
-    "Expression": "obj:pymbolic.typing.Expression",
     "ArithmeticExpression": "obj:pymbolic.ArithmeticExpression",
+    "Expression": "obj:pymbolic.typing.Expression",
     "MultiVector": "obj:pymbolic.geometric_algebra.MultiVector",
+    "Variable": "class:pymbolic.primitives.Variable",
     # arraycontext
-    "ScalarLike": "obj:arraycontext.ScalarLike",
     "ArrayOrContainerOrScalar": "obj:arraycontext.ArrayOrContainerOrScalar",
     "PyOpenCLArrayContext": "class:arraycontext.PyOpenCLArrayContext",
+    "ScalarLike": "obj:arraycontext.ScalarLike",
     # modepy
     "mp.Shape": "class:modepy.Shape",
     # meshmode
     "Discretization": "class:meshmode.discretization.Discretization",
     "DOFArray": "class:meshmode.dof_array.DOFArray",
+    # boxtree
+    # "TreeKind": "obj:boxtree.tree_build.TreeKind",
     # sumpy
+    "ExpansionBase": "class:sumpy.expansion.ExpansionBase",
+    "ExpansionFactoryBase": "class:sumpy.expansion.ExpansionFactoryBase",
     "Kernel": "class:sumpy.kernel.Kernel",
     "P2PBase": "class:sumpy.p2p.P2PBase",
-    "ExpansionFactoryBase": "class:sumpy.expansion.ExpansionFactoryBase",
     # pytential
-    "sym.IntG": "class:pytential.symbolic.primitives.IntG",
-    "sym.DOFDescriptor": "class:pytential.symbolic.dof_desc.DOFDescriptor",
+    "DOFDescriptorLike": "data:pytential.symbolic.dof_desc.DOFDescriptorLike",
+    "DOFGranularity": "data:pytential.symbolic.dof_desc.DOFGranularity",
+    "DiscretizationStage": "data:pytential.symbolic.dof_desc.DiscretizationStage",
+    "GeometryId": "data:pytential.symbolic.dof_desc.GeometryId",
     "Operand": "obj:pytential.symbolic.primitives.Operand",
     "QBXForcedLimit": "obj:pytential.symbolic.primitives.QBXForcedLimit",
     "TargetOrDiscretization": "obj:pytential.target.TargetOrDiscretization",
+    "pytential.symbolic.dof_desc.DOFDescriptorLike":
+        "data:pytential.symbolic.dof_desc.DOFDescriptorLike",
+    "sym.DOFDescriptor": "class:pytential.symbolic.dof_desc.DOFDescriptor",
+    "sym.IntG": "class:pytential.symbolic.primitives.IntG",
 }
 
 
diff --git a/pytential/utils.py b/pytential/utils.py
index e21e9d5a9..4b0db55f5 100644
--- a/pytential/utils.py
+++ b/pytential/utils.py
@@ -27,7 +27,7 @@
 """
 
 import sys
-from typing import TYPE_CHECKING, TypeVar
+from typing import TYPE_CHECKING
 
 
 if TYPE_CHECKING:
@@ -35,8 +35,7 @@
 
     from useful_types import SupportsRichComparison
 
-
-T = TypeVar("T")
+    from pytools import T
 
 
 def sort_arrays_together(

From e4381985f62fccdda181cbd7ba6651c665482d10 Mon Sep 17 00:00:00 2001
From: Alexandru Fikl <alexfikl@gmail.com>
Date: Tue, 12 Aug 2025 20:16:12 +0300
Subject: [PATCH 11/12] chore: update baseline

---
 .basedpyright/baseline.json          | 13564 ++++++++++---------------
 pyproject.toml                       |     5 +-
 pytential/symbolic/dof_connection.py |     6 +-
 3 files changed, 5195 insertions(+), 8380 deletions(-)

diff --git a/.basedpyright/baseline.json b/.basedpyright/baseline.json
index 79468467a..914302583 100644
--- a/.basedpyright/baseline.json
+++ b/.basedpyright/baseline.json
@@ -1,399 +1,5 @@
 {
     "files": {
-        "./doc/_build/html/_downloads/2c7d4287804d81451a1b25aa51537404/helmholtz-dirichlet.py": [
-            {
-                "code": "reportMissingParameterType",
-                "range": {
-                    "startColumn": 9,
-                    "endColumn": 18,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportMissingParameterType",
-                "range": {
-                    "startColumn": 30,
-                    "endColumn": 39,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownMemberType",
-                "range": {
-                    "startColumn": 12,
-                    "endColumn": 20,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownMemberType",
-                "range": {
-                    "startColumn": 30,
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@@ -31014,16 +28116,16 @@
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@@ -31044,58 +28146,66 @@
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@@ -31171,6 +28281,22 @@
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@@ -31239,7 +28365,15 @@
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@@ -36185,12 +33055,12 @@
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@@ -36237,30 +33099,6 @@
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@@ -36277,35 +33115,43 @@
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@@ -36373,6 +33219,38 @@
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@@ -36457,7 +33335,7 @@
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@@ -36512,16 +33390,32 @@
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@@ -36536,16 +33430,24 @@
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@@ -36582,42 +33484,50 @@
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@@ -36662,34 +33572,122 @@
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@@ -36697,7 +33695,15 @@
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@@ -36705,7 +33711,7 @@
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@@ -36713,7 +33719,7 @@
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@@ -36721,7 +33727,7 @@
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@@ -36729,7 +33735,7 @@
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@@ -36785,7 +33791,7 @@
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@@ -36793,15 +33799,15 @@
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@@ -36809,15 +33815,15 @@
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@@ -36830,10 +33836,10 @@
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@@ -36841,7 +33847,7 @@
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@@ -36881,7 +33887,7 @@
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@@ -36889,31 +33895,39 @@
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@@ -36926,63 +33940,111 @@
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@@ -36990,130 +34052,122 @@
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@@ -37121,143 +34175,135 @@
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-            },
-            {
-                "code": "reportUnknownMemberType",
-                "range": {
-                    "startColumn": 12,
-                    "endColumn": 23,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownMemberType",
-                "range": {
-                    "startColumn": 12,
-                    "endColumn": 23,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownMemberType",
-                "range": {
-                    "startColumn": 12,
-                    "endColumn": 23,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownMemberType",
-                "range": {
-                    "startColumn": 12,
-                    "endColumn": 23,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownMemberType",
-                "range": {
-                    "startColumn": 12,
-                    "endColumn": 23,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownArgumentType",
-                "range": {
-                    "startColumn": 24,
-                    "endColumn": 28,
-                    "lineCount": 1
-                }
-            },
             {
                 "code": "reportUnnecessaryContains",
                 "range": {
@@ -43283,14 +40249,6 @@
                     "lineCount": 4
                 }
             },
-            {
-                "code": "reportAbstractUsage",
-                "range": {
-                    "startColumn": 19,
-                    "endColumn": 18,
-                    "lineCount": 4
-                }
-            },
             {
                 "code": "reportCallIssue",
                 "range": {
@@ -43419,14 +40377,6 @@
                     "lineCount": 1
                 }
             },
-            {
-                "code": "reportAbstractUsage",
-                "range": {
-                    "startColumn": 19,
-                    "endColumn": 18,
-                    "lineCount": 4
-                }
-            },
             {
                 "code": "reportCallIssue",
                 "range": {
@@ -46515,54 +43465,6 @@
                     "lineCount": 1
                 }
             },
-            {
-                "code": "reportUnknownParameterType",
-                "range": {
-                    "startColumn": 18,
-                    "endColumn": 24,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportMissingParameterType",
-                "range": {
-                    "startColumn": 18,
-                    "endColumn": 24,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownParameterType",
-                "range": {
-                    "startColumn": 26,
-                    "endColumn": 30,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportMissingParameterType",
-                "range": {
-                    "startColumn": 26,
-                    "endColumn": 30,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownParameterType",
-                "range": {
-                    "startColumn": 32,
-                    "endColumn": 42,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportMissingParameterType",
-                "range": {
-                    "startColumn": 32,
-                    "endColumn": 42,
-                    "lineCount": 1
-                }
-            },
             {
                 "code": "reportUnknownVariableType",
                 "range": {
@@ -46572,82 +43474,58 @@
                 }
             },
             {
-                "code": "reportUnknownArgumentType",
-                "range": {
-                    "startColumn": 19,
-                    "endColumn": 23,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownArgumentType",
-                "range": {
-                    "startColumn": 51,
-                    "endColumn": 61,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownArgumentType",
-                "range": {
-                    "startColumn": 70,
-                    "endColumn": 76,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownVariableType",
+                "code": "reportAssignmentType",
                 "range": {
-                    "startColumn": 8,
-                    "endColumn": 12,
+                    "startColumn": 11,
+                    "endColumn": 24,
                     "lineCount": 1
                 }
             },
             {
-                "code": "reportUnknownVariableType",
+                "code": "reportAssignmentType",
                 "range": {
-                    "startColumn": 14,
-                    "endColumn": 19,
+                    "startColumn": 11,
+                    "endColumn": 57,
                     "lineCount": 1
                 }
             },
             {
-                "code": "reportUnknownMemberType",
+                "code": "reportArgumentType",
                 "range": {
-                    "startColumn": 23,
-                    "endColumn": 36,
+                    "startColumn": 52,
+                    "endColumn": 56,
                     "lineCount": 1
                 }
             },
             {
-                "code": "reportUnknownMemberType",
+                "code": "reportAssignmentType",
                 "range": {
-                    "startColumn": 23,
-                    "endColumn": 42,
+                    "startColumn": 11,
+                    "endColumn": 35,
                     "lineCount": 1
                 }
             },
             {
-                "code": "reportUnknownArgumentType",
+                "code": "reportArgumentType",
                 "range": {
-                    "startColumn": 47,
-                    "endColumn": 51,
+                    "startColumn": 30,
+                    "endColumn": 34,
                     "lineCount": 1
                 }
             },
             {
-                "code": "reportUnknownArgumentType",
+                "code": "reportAssignmentType",
                 "range": {
-                    "startColumn": 53,
-                    "endColumn": 59,
+                    "startColumn": 11,
+                    "endColumn": 50,
                     "lineCount": 1
                 }
             },
             {
-                "code": "reportUnknownArgumentType",
+                "code": "reportArgumentType",
                 "range": {
-                    "startColumn": 37,
-                    "endColumn": 43,
+                    "startColumn": 45,
+                    "endColumn": 49,
                     "lineCount": 1
                 }
             },
@@ -46907,62 +43785,6 @@
                     "lineCount": 1
                 }
             },
-            {
-                "code": "reportUnknownParameterType",
-                "range": {
-                    "startColumn": 23,
-                    "endColumn": 29,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportMissingParameterType",
-                "range": {
-                    "startColumn": 23,
-                    "endColumn": 29,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownParameterType",
-                "range": {
-                    "startColumn": 31,
-                    "endColumn": 42,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportMissingParameterType",
-                "range": {
-                    "startColumn": 31,
-                    "endColumn": 42,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownParameterType",
-                "range": {
-                    "startColumn": 25,
-                    "endColumn": 29,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportMissingParameterType",
-                "range": {
-                    "startColumn": 25,
-                    "endColumn": 29,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownArgumentType",
-                "range": {
-                    "startColumn": 38,
-                    "endColumn": 42,
-                    "lineCount": 1
-                }
-            },
             {
                 "code": "reportUnknownParameterType",
                 "range": {
@@ -47243,22 +44065,6 @@
                     "lineCount": 1
                 }
             },
-            {
-                "code": "reportAny",
-                "range": {
-                    "startColumn": 12,
-                    "endColumn": 17,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownMemberType",
-                "range": {
-                    "startColumn": 20,
-                    "endColumn": 42,
-                    "lineCount": 1
-                }
-            },
             {
                 "code": "reportAny",
                 "range": {
@@ -47307,14 +44113,6 @@
                     "lineCount": 1
                 }
             },
-            {
-                "code": "reportAssignmentType",
-                "range": {
-                    "startColumn": 11,
-                    "endColumn": 61,
-                    "lineCount": 1
-                }
-            },
             {
                 "code": "reportUnknownParameterType",
                 "range": {
@@ -47627,6 +44425,14 @@
                     "lineCount": 1
                 }
             },
+            {
+                "code": "reportUnknownVariableType",
+                "range": {
+                    "startColumn": 4,
+                    "endColumn": 9,
+                    "lineCount": 1
+                }
+            },
             {
                 "code": "reportUnknownArgumentType",
                 "range": {
@@ -47636,18 +44442,26 @@
                 }
             },
             {
-                "code": "reportUnknownMemberType",
+                "code": "reportUnknownArgumentType",
                 "range": {
-                    "startColumn": 46,
-                    "endColumn": 57,
+                    "startColumn": 52,
+                    "endColumn": 62,
                     "lineCount": 1
                 }
             },
             {
-                "code": "reportUnknownMemberType",
+                "code": "reportUnknownVariableType",
                 "range": {
-                    "startColumn": 46,
-                    "endColumn": 62,
+                    "startColumn": 8,
+                    "endColumn": 13,
+                    "lineCount": 1
+                }
+            },
+            {
+                "code": "reportUnknownArgumentType",
+                "range": {
+                    "startColumn": 33,
+                    "endColumn": 40,
                     "lineCount": 1
                 }
             },
@@ -47699,6 +44513,14 @@
                     "lineCount": 1
                 }
             },
+            {
+                "code": "reportUnknownArgumentType",
+                "range": {
+                    "startColumn": 22,
+                    "endColumn": 27,
+                    "lineCount": 1
+                }
+            },
             {
                 "code": "reportUnknownArgumentType",
                 "range": {
@@ -47747,6 +44569,14 @@
                     "lineCount": 1
                 }
             },
+            {
+                "code": "reportArgumentType",
+                "range": {
+                    "startColumn": 29,
+                    "endColumn": 41,
+                    "lineCount": 1
+                }
+            },
             {
                 "code": "reportUnknownMemberType",
                 "range": {
@@ -53671,14 +50501,6 @@
                     "lineCount": 1
                 }
             },
-            {
-                "code": "reportAny",
-                "range": {
-                    "startColumn": 25,
-                    "endColumn": 60,
-                    "lineCount": 1
-                }
-            },
             {
                 "code": "reportIncompatibleMethodOverride",
                 "range": {
@@ -53887,6 +50709,14 @@
                     "lineCount": 1
                 }
             },
+            {
+                "code": "reportUnknownArgumentType",
+                "range": {
+                    "startColumn": 25,
+                    "endColumn": 74,
+                    "lineCount": 1
+                }
+            },
             {
                 "code": "reportUnknownArgumentType",
                 "range": {
@@ -53919,22 +50749,6 @@
                     "lineCount": 1
                 }
             },
-            {
-                "code": "reportAny",
-                "range": {
-                    "startColumn": 12,
-                    "endColumn": 17,
-                    "lineCount": 1
-                }
-            },
-            {
-                "code": "reportUnknownMemberType",
-                "range": {
-                    "startColumn": 20,
-                    "endColumn": 42,
-                    "lineCount": 1
-                }
-            },
             {
                 "code": "reportUnknownVariableType",
                 "range": {
diff --git a/pyproject.toml b/pyproject.toml
index d9a6f23f2..82fde8ffa 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -164,11 +164,12 @@ pythonVersion = "3.10"
 pythonPlatform = "All"
 
 ignore = [
-    "pytential/symbolic/old_diffop_primitives.py",
-    "pytential/symbolic/pde/maxwell/generalized_debye.py",
     "build",
+    "doc/_build",
     "doc/conf.py",
     "experiments",
+    "pytential/symbolic/old_diffop_primitives.py",
+    "pytential/symbolic/pde/maxwell/generalized_debye.py",
 ]
 
 [[tool.basedpyright.executionEnvironments]]
diff --git a/pytential/symbolic/dof_connection.py b/pytential/symbolic/dof_connection.py
index 23da50ad7..13ed669e8 100644
--- a/pytential/symbolic/dof_connection.py
+++ b/pytential/symbolic/dof_connection.py
@@ -26,7 +26,7 @@
 THE SOFTWARE.
 """
 
-from typing import TYPE_CHECKING
+from typing import TYPE_CHECKING, cast
 
 import numpy as np  # noqa: F401
 from typing_extensions import override
@@ -146,13 +146,13 @@ def __call__(self, arys: ArrayOrContainerOrScalarT) -> ArrayOrContainerOrScalarT
             interleaved as :math:`[x_1, y_1, x_2, y_2, \ddots, x_n, y_n]`.
         """
         if isinstance(arys, list | tuple):
-            ary1, ary2 = arys
+            ary1, ary2 = cast("Sequence[ArrayOrContainerOrScalarT]", arys)
         else:
             ary1, ary2 = arys, arys
 
         if type(ary1) is not type(ary2):
             raise TypeError("cannot interleave arrays of different types: "
-                    f"'{type(ary1).__name__}' and '{type(ary2.__name__)}'")
+                    f"'{type(ary1).__name__}' and '{type(ary2).__name__}'")
 
         from meshmode.dof_array import rec_multimap_dof_array_container
         return rec_multimap_dof_array_container(

From 55a1da318a02a8eff959fae8eba3add04a7a1735 Mon Sep 17 00:00:00 2001
From: Alexandru Fikl <alexfikl@gmail.com>
Date: Wed, 13 Aug 2025 10:37:14 +0300
Subject: [PATCH 12/12] chore: remove a bunch of mypy ignores

---
 pytential/source.py                 |  4 ++--
 pytential/symbolic/dof_desc.py      |  3 +--
 pytential/symbolic/mappers.py       |  6 +-----
 pytential/symbolic/primitives.py    | 18 ++++++++----------
 pytential/target.py                 |  2 +-
 test/extra_int_eq_data.py           | 10 +++++-----
 test/test_linalg_skeletonization.py |  2 +-
 7 files changed, 19 insertions(+), 26 deletions(-)

diff --git a/pytential/source.py b/pytential/source.py
index 252f41560..7e161d093 100644
--- a/pytential/source.py
+++ b/pytential/source.py
@@ -124,9 +124,9 @@ def get_p2p(self,
         def p2p(target_kernels: tuple[Kernel, ...],
                 source_kernels: tuple[Kernel, ...] | None) -> P2P:
             if any(knl.is_complex_valued for knl in target_kernels):
-                value_dtype = self.complex_dtype    # type: ignore[attr-defined]
+                value_dtype = self.complex_dtype
             else:
-                value_dtype = self.real_dtype       # type: ignore[attr-defined]
+                value_dtype = self.real_dtype
 
             from sumpy.p2p import P2P
             return P2P(actx.context,
diff --git a/pytential/symbolic/dof_desc.py b/pytential/symbolic/dof_desc.py
index d1562be79..2dba14bf7 100644
--- a/pytential/symbolic/dof_desc.py
+++ b/pytential/symbolic/dof_desc.py
@@ -183,7 +183,7 @@ def __init__(self,
 
     def copy(self,
             geometry: GeometryId | None = None,
-            discr_stage: DiscretizationStage | None = _NoArgSentinel,  # type: ignore[assignment]
+            discr_stage: DiscretizationStage | None = _NoArgSentinel,
             granularity: DOFGranularity | None = None) -> DOFDescriptor:
         if isinstance(geometry, DOFDescriptor):
             discr_stage = geometry.discr_stage \
@@ -262,7 +262,6 @@ def as_dofdesc(desc: DOFDescriptorLike) -> DOFDescriptor:
         return desc
 
     if desc in (QBX_SOURCE_STAGE1, QBX_SOURCE_STAGE2, QBX_SOURCE_QUAD_STAGE2):
-        # NOTE: mypy is not able to be more specific about the type of `desc`
         return DOFDescriptor(discr_stage=desc)
 
     if desc in (GRANULARITY_NODE, GRANULARITY_CENTER, GRANULARITY_ELEMENT):
diff --git a/pytential/symbolic/mappers.py b/pytential/symbolic/mappers.py
index 96309a10f..b361a50b1 100644
--- a/pytential/symbolic/mappers.py
+++ b/pytential/symbolic/mappers.py
@@ -323,11 +323,7 @@ def __init__(self,
         self.default_target: DOFDescriptor = prim.as_dofdesc(default_target)
 
     def map_common_subexpression_uncached(self, expr) -> Expression:
-        # Mypy 1.13 complains about this:
-        # error: Too few arguments for "map_common_subexpression" of "IdentityMapper"  [call-arg]  # noqa: E501
-        # error: Argument 1 to "map_common_subexpression" of "IdentityMapper" has incompatible type "LocationTagger"; expected "IdentityMapper[P]"  [arg-type]  # noqa: E501
-        # This seems spurious?
-        return IdentityMapper.map_common_subexpression(self, expr)  # type: ignore[arg-type, call-arg]
+        return IdentityMapper.map_common_subexpression(self, expr)
 
     def _default_dofdesc(self, dofdesc):
         if dofdesc.geometry is None:
diff --git a/pytential/symbolic/primitives.py b/pytential/symbolic/primitives.py
index e0a3ba436..6cf262656 100644
--- a/pytential/symbolic/primitives.py
+++ b/pytential/symbolic/primitives.py
@@ -626,7 +626,7 @@ class IsShapeClass(DiscretizationProperty):
     # FIXME: this is added for backwards compatibility with pre-dataclass expressions
     def __init__(self, shape: mp.Shape, dofdesc: DOFDescriptor) -> None:
         object.__setattr__(self, "shape", shape)
-        super().__init__(dofdesc)  # type: ignore[arg-type]
+        super().__init__(dofdesc)
 
 
 @expr_dataclass()
@@ -648,7 +648,7 @@ def __init__(self,
                  ambient_axis: int,
                  dofdesc: DOFDescriptor) -> None:
         object.__setattr__(self, "ambient_axis", ambient_axis)
-        super().__init__(dofdesc)   # type: ignore[arg-type]
+        super().__init__(dofdesc)
 
 
 def nodes(ambient_dim: int, dofdesc: DOFDescriptorLike = None):
@@ -695,9 +695,7 @@ def __new__(cls,
             def make_op(operand_i):
                 return cls(ref_axes, operand_i, as_dofdesc(dofdesc))
 
-            # FIXME: mypy is right: new should return `cls` instances and we're
-            # abusing it to vectorize the call like this.
-            return componentwise(make_op, operand)  # type: ignore[return-value]
+            return componentwise(make_op, operand)
         else:
             return DiscretizationProperty.__new__(cls)
 
@@ -731,7 +729,7 @@ def __init__(self,
 
         object.__setattr__(self, "ref_axes", ref_axes)
         object.__setattr__(self, "operand", operand)
-        super().__init__(dofdesc)   # type: ignore[arg-type]
+        super().__init__(dofdesc)
 
 
 @for_each_expression
@@ -1363,7 +1361,7 @@ def __new__(cls,
         to_dd = as_dofdesc(to_dd)
 
         if from_dd == to_dd:
-            return operand  # type: ignore[return-value]
+            return operand
 
         if isinstance(operand, np.ndarray | MultiVector):
             warn(f"Passing {type(operand)} directly to {cls.__name__!r} "
@@ -1374,7 +1372,7 @@ def __new__(cls,
             def make_op(operand_i):
                 return cls(from_dd, to_dd, operand_i)
 
-            return componentwise(make_op, operand)  # type: ignore[return-value]
+            return componentwise(make_op, operand)
         else:
             return ExpressionNode.__new__(cls)
 
@@ -1439,7 +1437,7 @@ def __new__(cls,
             def make_op(operand_i):
                 return cls(operand_i)
 
-            return componentwise(make_op, operand)  # type: ignore[return-value]
+            return componentwise(make_op, operand)
         else:
             return ExpressionNode.__new__(cls)
 
@@ -1525,7 +1523,7 @@ def __new__(cls,
             def make_op(operand_i):
                 return cls(operand_i, as_dofdesc(dofdesc))
 
-            return componentwise(make_op, operand)  # type: ignore[return-value]
+            return componentwise(make_op, operand)
         else:
             return ExpressionNode.__new__(cls)
 
diff --git a/pytential/target.py b/pytential/target.py
index ab0c6f4a8..50b3441a5 100644
--- a/pytential/target.py
+++ b/pytential/target.py
@@ -110,7 +110,7 @@ def ambient_dim(self) -> int:
     @property
     def ndofs(self) -> int:
         # NOTE: arraycontext.Array is not iterable theoretically
-        for coord_ary in self._nodes:   # type: ignore[attr-defined]
+        for coord_ary in self._nodes:
             return coord_ary.shape[0]
 
         raise AttributeError
diff --git a/test/extra_int_eq_data.py b/test/extra_int_eq_data.py
index ae5607ce4..b6e304afe 100644
--- a/test/extra_int_eq_data.py
+++ b/test/extra_int_eq_data.py
@@ -365,7 +365,7 @@ class HelmholtzEllisoidTestCase(Helmholtz3DTestCase):
 
     # test case
     resolutions: list[int] = field(
-        default_factory=lambda: [2.0, 0.8])     # type: ignore[list-item]
+        default_factory=lambda: [2.0, 0.8])
     inner_radius: float = 0.4
     outer_radius: float = 5.0
     check_gradient: bool = True
@@ -455,7 +455,7 @@ class GMSHSphereTestCase(SphereTestCase):
 
     radius: float = 1.5
     resolutions: list[int] = field(
-        default_factory=lambda: [0.4])      # type: ignore[list-item]
+        default_factory=lambda: [0.4])
 
     def get_mesh(self, resolution, mesh_order):
         from meshmode.mesh import SimplexElementGroup, TensorProductElementGroup
@@ -531,7 +531,7 @@ class MergedCubesTestCase(Helmholtz3DTestCase):
 
     # test case
     resolutions: list[int] = field(
-        default_factory=lambda: [1.4])  # type: ignore[list-item]
+        default_factory=lambda: [1.4])
     inner_radius: float = 0.4
     outer_radius: float = 12.0
 
@@ -612,7 +612,7 @@ class EllipticPlaneTestCase(IntegralEquationTestCase):
 
     # test case
     resolutions: list[int] = field(
-        default_factory=lambda: [0.1])  # type: ignore[list-item]
+        default_factory=lambda: [0.1])
     inner_radius: float = 0.2
     outer_radius: float = 12   # was '-13' in some large-scale run (?)
     check_gradient: bool = False
@@ -662,7 +662,7 @@ class BetterPlaneTestCase(IntegralEquationTestCase):
 
     # test case
     resolutions: list[int] = field(
-        default_factory=lambda: [0.2])  # type: ignore[list-item]
+        default_factory=lambda: [0.2])
     inner_radius: float = 0.2
     outer_radius: float = 15
     check_gradient: bool = False
diff --git a/test/test_linalg_skeletonization.py b/test/test_linalg_skeletonization.py
index d7500fa58..1f91379be 100644
--- a/test/test_linalg_skeletonization.py
+++ b/test/test_linalg_skeletonization.py
@@ -403,7 +403,7 @@ def test_skeletonize_by_proxy(actx_factory, case, visualize=False):
         extra.GMSHSphereTestCase(
             target_order=8,
             op_type="scalar",
-            resolutions=[0.4]),     # type: ignore[list-item]
+            resolutions=[0.4]),
         ]