9090:class:`~pyopencl.array.Array` is used.
9191
9292.. autoclass:: Expression
93+ :show-inheritance:
94+ :undoc-members:
95+ :members: mapper_method
9396
9497Diagnostics
9598^^^^^^^^^^^
9699
97100.. autoclass:: ErrorExpression
101+ :show-inheritance:
102+ :undoc-members:
103+ :members: mapper_method
98104
99105.. _placeholders:
100106
101107Placeholders
102108^^^^^^^^^^^^
103109
104110.. autoclass:: var
111+
105112.. autoclass:: SpatialConstant
113+ :show-inheritance:
114+ :undoc-members:
115+ :members: mapper_method
116+
106117.. autofunction:: make_sym_mv
107118.. autofunction:: make_sym_surface_mv
108119
139150Discretization properties
140151^^^^^^^^^^^^^^^^^^^^^^^^^
141152
153+ .. autoclass:: DiscretizationProperty
154+ :show-inheritance:
155+ :undoc-members:
156+ :members: mapper_method
157+
142158.. autoclass:: IsShapeClass
159+ :show-inheritance:
160+ :undoc-members:
161+ :members: mapper_method
162+
143163.. autoclass:: QWeight
164+ :show-inheritance:
165+ :undoc-members:
166+ :members: mapper_method
167+
144168.. autofunction:: nodes
145169.. autofunction:: parametrization_derivative
146170.. autofunction:: parametrization_derivative_matrix
162186^^^^^^^^^^^^^^^^^^^
163187
164188.. autoclass:: NumReferenceDerivative
189+ :show-inheritance:
190+ :undoc-members:
191+ :members: mapper_method
192+
165193.. autoclass:: NodeSum
194+ :undoc-members:
195+ :members: mapper_method
196+
166197.. autoclass:: NodeMax
198+ :undoc-members:
199+ :members: mapper_method
200+
167201.. autoclass:: NodeMin
202+ :undoc-members:
203+ :members: mapper_method
204+
168205.. autoclass:: ElementwiseSum
206+ :undoc-members:
207+ :members: mapper_method
208+
209+ .. autoclass:: ElementwiseMin
210+ :undoc-members:
211+ :members: mapper_method
212+
169213.. autoclass:: ElementwiseMax
214+ :undoc-members:
215+ :members: mapper_method
216+
170217.. autofunction:: integral
218+
171219.. autoclass:: Ones
220+ :show-inheritance:
221+ :undoc-members:
222+ :members: mapper_method
223+
172224.. autofunction:: ones_vec
173225.. autofunction:: area
174226.. autofunction:: mean
227+
175228.. autoclass:: IterativeInverse
229+ :show-inheritance:
230+ :undoc-members:
231+ :members: mapper_method
232+
176233
177234Operators
178235^^^^^^^^^
179236
180237.. autoclass:: Interpolation
238+ :show-inheritance:
239+ :undoc-members:
240+ :members: mapper_method
241+
181242.. autofunction:: interp
182243
183244Geometric Calculus (based on Geometric/Clifford Algebra)
184245^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
185246
186247.. autoclass:: Derivative
248+ :undoc-members:
187249
188250Conventional Calculus
189251^^^^^^^^^^^^^^^^^^^^^
200262^^^^^^^^^^^^^^^^
201263
202264.. autoclass:: IntG
265+ :show-inheritance:
266+ :undoc-members:
267+ :members: mapper_method
268+
203269.. autofunction:: int_g_dsource
204270.. autofunction:: int_g_vec
205271
@@ -310,9 +376,7 @@ def array_to_tuple(ary):
310376
311377@expr_dataclass ()
312378class Expression (ExpressionBase ):
313- """Bases: :class:`~pymbolic.primitives.Expression`.
314-
315- A subclass of :class:`~pymbolic.primitives.Expression` for use with
379+ """A subclass of :class:`pymbolic.primitives.Expression` for use with
316380 :mod:`pytential` mappers.
317381 """
318382
@@ -338,16 +402,16 @@ class ErrorExpression(Expression):
338402 """The error message to raise when this expression is encountered."""
339403
340404
341- def make_sym_mv (name , num_components ) :
405+ def make_sym_mv (name : str , num_components : int ) -> MultiVector [ Expression ] :
342406 return MultiVector (make_sym_vector (name , num_components ))
343407
344408
345409def make_sym_surface_mv (name , ambient_dim , dim , dofdesc = None ):
346410 par_grad = parametrization_derivative_matrix (ambient_dim , dim , dofdesc )
347411
348412 return sum (
349- var ("%s%d" % ( name , i ) )
350- * cse (MultiVector (vec ), "tangent%d" % i , cse_scope .DISCRETIZATION )
413+ var (f" { name } { i } " )
414+ * cse (MultiVector (vec ), f "tangent{ i } " , cse_scope .DISCRETIZATION )
351415 for i , vec in enumerate (par_grad .T ))
352416
353417
@@ -1128,17 +1192,26 @@ def make_op(operand_i):
11281192
11291193@expr_dataclass ()
11301194class NodeSum (SingleScalarOperandExpression ):
1131- """Implements a global sum over all discretization nodes."""
1195+ """Bases: :class:`~pytential.symbolic.primitives.Expression`.
1196+
1197+ Implements a global sum over all discretization nodes.
1198+ """
11321199
11331200
11341201@expr_dataclass ()
11351202class NodeMax (SingleScalarOperandExpression ):
1136- """Implements a global maximum over all discretization nodes."""
1203+ """Bases: :class:`~pytential.symbolic.primitives.Expression`.
1204+
1205+ Implements a global maximum over all discretization nodes.
1206+ """
11371207
11381208
11391209@expr_dataclass ()
11401210class NodeMin (SingleScalarOperandExpression ):
1141- """Implements a global minimum over all discretization nodes."""
1211+ """Bases: :class:`~pytential.symbolic.primitives.Expression`.
1212+
1213+ Implements a global minimum over all discretization nodes.
1214+ """
11421215
11431216
11441217def integral (ambient_dim , dim , operand , dofdesc = None ):
@@ -1191,21 +1264,27 @@ def __post_init__(self) -> None:
11911264
11921265@expr_dataclass ()
11931266class ElementwiseSum (SingleScalarOperandExpressionWithWhere ):
1194- """Returns a vector of DOFs with all entries on each element set
1267+ """Bases: :class:`~pytential.symbolic.primitives.Expression`.
1268+
1269+ Returns a vector of DOFs with all entries on each element set
11951270 to the sum of DOFs on that element.
11961271 """
11971272
11981273
11991274@expr_dataclass ()
12001275class ElementwiseMin (SingleScalarOperandExpressionWithWhere ):
1201- """Returns a vector of DOFs with all entries on each element set
1276+ """Bases: :class:`~pytential.symbolic.primitives.Expression`.
1277+
1278+ Returns a vector of DOFs with all entries on each element set
12021279 to the minimum of DOFs on that element.
12031280 """
12041281
12051282
12061283@expr_dataclass ()
12071284class ElementwiseMax (SingleScalarOperandExpressionWithWhere ):
1208- """Returns a vector of DOFs with all entries on each element set
1285+ """Bases: :class:`~pytential.symbolic.primitives.Expression`.
1286+
1287+ Returns a vector of DOFs with all entries on each element set
12091288 to the maximum of DOFs on that element.
12101289 """
12111290
@@ -1281,6 +1360,15 @@ def __post_init__(self) -> None:
12811360
12821361
12831362class Derivative (DerivativeBase ):
1363+ """A symbolic derivative.
1364+
1365+ This mechanism cannot be used to take more than one derivative at a time.
1366+
1367+ .. automethod:: __call__
1368+ .. automethod:: dnabla
1369+ .. automethod:: resolve
1370+ """
1371+
12841372 @property
12851373 def nabla (self ):
12861374 raise ValueError ("Derivative.nabla should not be used"
@@ -1364,7 +1452,7 @@ class IntG(Expression):
13641452 r"""
13651453 .. math::
13661454
1367- \int_\Gamma T (\ sum S_k[G](x-y) \sigma_k(y)) dS_y
1455+ \int_\Gamma T \left[\ sum S_k[G](x-y) \sigma_k(y)\right] \,\mathrm{d} S_y
13681456
13691457 where :math:`\sigma_k` is the k-th *density*, :math:`G` is a Green's
13701458 function, :math:`S_k` are source derivative operators and :math:`T` is a
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