Skip to content

nodes

Aggregate dataclass

Bases: LogicTree, LogicExpression

Represents a logical AST statement that reduces arg using op, starting with init. idxs are the dimensions to reduce. May happen in any order. init may be a literal or a tensor expression. The fields of the result are those of arg which are not reduced, followed by the fields of init which are not in arg. init and arg are broadcast over the fields of the result which they lack, as in a MapJoin.

Attributes:

Name Type Description
op Literal

The reduction operation.

init LogicExpression

The initial value for the reduction.

arg LogicExpression

The argument to reduce.

idxs tuple[Field, ...]

The dimensions to reduce.

Source code in src/finch/finch_logic/nodes.py
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
@dataclass(eq=True, frozen=True)
class Aggregate(LogicTree, LogicExpression):
    """
    Represents a logical AST statement that reduces `arg` using `op`, starting
    with `init`. `idxs` are the dimensions to reduce. May happen in any order.
    `init` may be a literal or a tensor expression. The fields of the result
    are those of `arg` which are not reduced, followed by the fields of `init`
    which are not in `arg`. `init` and `arg` are broadcast over the fields of
    the result which they lack, as in a `MapJoin`.

    Attributes:
        op: The reduction operation.
        init: The initial value for the reduction.
        arg: The argument to reduce.
        idxs: The dimensions to reduce.
    """

    op: Literal
    init: LogicExpression
    arg: LogicExpression
    idxs: tuple[Field, ...]

    @property
    def children(self):
        """Returns the children of the node."""
        return [self.op, self.init, self.arg, *self.idxs]

    def fields(self) -> tuple[Field, ...]:
        """Returns fields of the node."""
        arg_fields = [field for field in self.arg.fields() if field not in self.idxs]
        return tuple(dict.fromkeys([*arg_fields, *self.init.fields()]))

    def dimmap(
        self,
        op: Callable,
        dim_bindings: dict[Alias, tuple[T | None, ...]],
    ) -> tuple[T | None, ...]:
        idxs = self.arg.fields()
        dims = self.arg.dimmap(op, dim_bindings)
        idx_dims = {
            idx: val
            for idx, val in zip(idxs, dims, strict=True)
            if idx not in self.idxs
        }
        init_dims = self.init.dimmap(op, dim_bindings)
        for idx, dim in zip(self.init.fields(), init_dims, strict=True):
            if idx in self.idxs:
                raise ValueError(f"The init of an aggregate can't have reduced {idx}")
            idx_dims[idx] = op(idx_dims[idx], dim) if idx in idx_dims else dim
        return tuple(idx_dims.values())

    def valmap(
        self,
        f: Callable,
        g: Callable,
        bindings: dict[Alias, T],
    ) -> T:
        return g(
            self.op.val,
            self.init.valmap(f, g, bindings),
            self.arg.valmap(f, g, bindings),
        )

    @classmethod
    def from_children(cls, op, init, arg, *idxs):
        return cls(op, init, arg, idxs)

children property

Returns the children of the node.

fields()

Returns fields of the node.

Source code in src/finch/finch_logic/nodes.py
569
570
571
572
def fields(self) -> tuple[Field, ...]:
    """Returns fields of the node."""
    arg_fields = [field for field in self.arg.fields() if field not in self.idxs]
    return tuple(dict.fromkeys([*arg_fields, *self.init.fields()]))

Alias dataclass

Bases: LogicNode, NamedTerm

Represents a logical AST expression for an alias named name. Aliases are used to refer to tables in the program.

Attributes:

Name Type Description
name str

The name of the alias.

Source code in src/finch/finch_logic/nodes.py
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
@dataclass(eq=True, frozen=True)
class Alias(LogicNode, NamedTerm):
    """
    Represents a logical AST expression for an alias named `name`. Aliases are used to
    refer to tables in the program.

    Attributes:
        name: The name of the alias.
    """

    name: str

    @property
    def symbol(self) -> str:
        return self.name

    def fields(self) -> tuple[Field, ...]:
        """Returns fields of the node."""
        raise NotImplementedError(
            "Aliases do not have fields because they are tensors not tables!"
        )

    def dimmap(
        self,
        op: Callable,
        dim_bindings: dict[Alias, tuple[T | None, ...]],
    ) -> tuple[T | None, ...]:
        if dim_bindings is None or self not in dim_bindings:
            raise NotImplementedError(f"Cannot resolve dims of Alias {self.name}")
        return dim_bindings[self]

    def valmap(
        self,
        f: Callable,
        g: Callable,
        bindings: dict[Alias, T],
    ) -> T:
        if bindings is None or self not in bindings:
            raise NotImplementedError(f"Cannot resolve value of Alias {self.name}")
        return bindings[self]

fields()

Returns fields of the node.

Source code in src/finch/finch_logic/nodes.py
408
409
410
411
412
def fields(self) -> tuple[Field, ...]:
    """Returns fields of the node."""
    raise NotImplementedError(
        "Aliases do not have fields because they are tensors not tables!"
    )

Field dataclass

Bases: LogicNode, NamedTerm

Represents a logical AST expression for a field named name. Fields are used to name the dimensions of a tensor. The named tensor is referred to as a "table".

Attributes:

Name Type Description
name str

The name of the field.

Source code in src/finch/finch_logic/nodes.py
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
@dataclass(eq=True, frozen=True)
class Field(LogicNode, NamedTerm):
    """
    Represents a logical AST expression for a field named `name`.
    Fields are used to name the dimensions of a tensor. The named
    tensor is referred to as a "table".

    Attributes:
        name: The name of the field.
    """

    name: str

    @property
    def symbol(self) -> str:
        return self.name

Literal dataclass

Bases: LogicExpression, LiteralTerm, ExpressionTerm

Represents a logical AST expression for the literal value val.

A literal behaves as a zero-dimensional tensor: it has no fields, and its element type and fill value are those of val itself.

Attributes:

Name Type Description
val T

The literal value.

Source code in src/finch/finch_logic/nodes.py
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
@dataclass(eq=True, frozen=True)
class Literal(LogicExpression, LiteralTerm, ExpressionTerm):
    """
    Represents a logical AST expression for the literal value `val`.

    A literal behaves as a zero-dimensional tensor: it has no fields, and its
    element type and fill value are those of `val` itself.

    Attributes:
        val: The literal value.
    """

    @property
    def result_type(self) -> FType:
        return ftype(self.val)

    def __hash__(self):
        try:
            return hash((type(self.val), self.val))
        except TypeError:
            return hash(id(self.val))

    def __eq__(self, value):
        if not isinstance(value, Literal):
            return False
        if type(self.val) is not type(value.val):
            return False
        # For consistency with __hash__, we fall back to pointer equality
        # when the value is unhashable
        try:
            hash(value.val)
            hash(self.val)
            return self.val == value.val
        except TypeError:
            return id(self.val) == id(value.val)

    def __repr__(self) -> str:
        return literal_repr(type(self).__name__, {"val": self.val})

    def fields(self) -> tuple[Field, ...]:
        """Returns fields of the node."""
        return ()

    def dimmap(
        self,
        op: Callable,
        dim_bindings: dict[Alias, tuple[T | None, ...]],
    ) -> tuple[T | None, ...]:
        return ()

    def valmap(
        self,
        f: Callable,
        g: Callable,
        bindings: dict[Alias, T],
    ) -> T:
        return self.val

fields()

Returns fields of the node.

Source code in src/finch/finch_logic/nodes.py
339
340
341
def fields(self) -> tuple[Field, ...]:
    """Returns fields of the node."""
    return ()

LogicExpression dataclass

Bases: LogicNode

Logic AST expression base class.

A Logic expression is a program node which evaluates to a TableValue, a tensor with named dimensions.

Source code in src/finch/finch_logic/nodes.py
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
class LogicExpression(LogicNode):
    """
    Logic AST expression base class.

    A Logic expression is a program node which evaluates to a TableValue, a
    tensor with named dimensions.
    """

    @abstractmethod
    def fields(self) -> tuple[Field, ...]:
        """Returns fields of the node."""
        ...

    @abstractmethod
    def dimmap(
        self,
        op: Callable,
        dim_bindings: dict[Alias, tuple[T | None, ...]],
    ) -> tuple[T | None, ...]:
        """Compute per-dimension values, combining using `op`. When dimensions
        are expanded, None is used. When dimensions are contracted, the value
        is combined with None."""
        ...

    @abstractmethod
    def valmap(
        self,
        f: Callable,
        g: Callable,
        bindings: dict[Alias, T],
    ) -> T:
        """Compute per-tensor values. `f(op, args)` is used to combine values in
        mapjoin, and `g(op, init, arg)` is used to combine values in
        aggregation."""
        ...

    def shape_type(
        self,
        dim_bindings: dict[Alias, tuple[FType | None, ...]],
    ) -> tuple[FType | None, ...]:
        """Returns the shape type of the node."""
        return self.dimmap(merge_dim_type, dim_bindings)

    def shape(
        self,
        dim_bindings: dict[Alias, tuple[Any, ...]],
    ) -> tuple[Any, ...]:
        """Returns the shape of the node."""
        return self.dimmap(merge_dim, dim_bindings)

    def element_type(self, bindings: dict[Alias, FType]) -> FType:
        """Returns element type of the node."""
        return ftype(self.valmap(merge_element_type, reduce_element_type, bindings))

    def fill_value(self, bindings: dict[Alias, AbstractFill]) -> AbstractFill:
        """Returns fill value of the node."""
        return self.valmap(merge_fill_value, reduce_fill_value, bindings)

dimmap(op, dim_bindings) abstractmethod

Compute per-dimension values, combining using op. When dimensions are expanded, None is used. When dimensions are contracted, the value is combined with None.

Source code in src/finch/finch_logic/nodes.py
194
195
196
197
198
199
200
201
202
203
@abstractmethod
def dimmap(
    self,
    op: Callable,
    dim_bindings: dict[Alias, tuple[T | None, ...]],
) -> tuple[T | None, ...]:
    """Compute per-dimension values, combining using `op`. When dimensions
    are expanded, None is used. When dimensions are contracted, the value
    is combined with None."""
    ...

element_type(bindings)

Returns element type of the node.

Source code in src/finch/finch_logic/nodes.py
231
232
233
def element_type(self, bindings: dict[Alias, FType]) -> FType:
    """Returns element type of the node."""
    return ftype(self.valmap(merge_element_type, reduce_element_type, bindings))

fields() abstractmethod

Returns fields of the node.

Source code in src/finch/finch_logic/nodes.py
189
190
191
192
@abstractmethod
def fields(self) -> tuple[Field, ...]:
    """Returns fields of the node."""
    ...

fill_value(bindings)

Returns fill value of the node.

Source code in src/finch/finch_logic/nodes.py
235
236
237
def fill_value(self, bindings: dict[Alias, AbstractFill]) -> AbstractFill:
    """Returns fill value of the node."""
    return self.valmap(merge_fill_value, reduce_fill_value, bindings)

shape(dim_bindings)

Returns the shape of the node.

Source code in src/finch/finch_logic/nodes.py
224
225
226
227
228
229
def shape(
    self,
    dim_bindings: dict[Alias, tuple[Any, ...]],
) -> tuple[Any, ...]:
    """Returns the shape of the node."""
    return self.dimmap(merge_dim, dim_bindings)

shape_type(dim_bindings)

Returns the shape type of the node.

Source code in src/finch/finch_logic/nodes.py
217
218
219
220
221
222
def shape_type(
    self,
    dim_bindings: dict[Alias, tuple[FType | None, ...]],
) -> tuple[FType | None, ...]:
    """Returns the shape type of the node."""
    return self.dimmap(merge_dim_type, dim_bindings)

valmap(f, g, bindings) abstractmethod

Compute per-tensor values. f(op, args) is used to combine values in mapjoin, and g(op, init, arg) is used to combine values in aggregation.

Source code in src/finch/finch_logic/nodes.py
205
206
207
208
209
210
211
212
213
214
215
@abstractmethod
def valmap(
    self,
    f: Callable,
    g: Callable,
    bindings: dict[Alias, T],
) -> T:
    """Compute per-tensor values. `f(op, args)` is used to combine values in
    mapjoin, and `g(op, init, arg)` is used to combine values in
    aggregation."""
    ...

LogicNode dataclass

Bases: Term, ABC

LogicNode

Represents a Finch Logic IR node. Finch uses a variant of Concrete Field Notation as an intermediate representation.

The LogicNode struct represents many different Finch IR nodes.

Source code in src/finch/finch_logic/nodes.py
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
@dataclass(eq=True, frozen=True)
class LogicNode(Term, ABC):
    """
    LogicNode

    Represents a Finch Logic IR node. Finch uses a variant of Concrete Field Notation
    as an intermediate representation.

    The LogicNode struct represents many different Finch IR nodes.
    """

    @classmethod
    def head(cls) -> Callable[..., Self]:
        """Returns the head of the node."""
        return cls

    @classmethod
    def make_term(cls, head, *children: Term) -> Self:
        return head.from_children(*children)

    @classmethod
    def from_children(cls, *children: Term) -> Self:
        return cls(*children)

    def __str__(self):
        """Returns a string representation of the node."""
        ctx = LogicPrinterContext()
        res = ctx(self)
        return res if res is not None else ctx.emit()

__str__()

Returns a string representation of the node.

Source code in src/finch/finch_logic/nodes.py
163
164
165
166
167
def __str__(self):
    """Returns a string representation of the node."""
    ctx = LogicPrinterContext()
    res = ctx(self)
    return res if res is not None else ctx.emit()

head() classmethod

Returns the head of the node.

Source code in src/finch/finch_logic/nodes.py
150
151
152
153
@classmethod
def head(cls) -> Callable[..., Self]:
    """Returns the head of the node."""
    return cls

LogicStatement dataclass

Bases: LogicNode

Logic AST statement base class.

A Logic statement may modify the state of the machine by assigning tensors to Aliases.

Logic statements evaluate to a tuple of tensors.

Source code in src/finch/finch_logic/nodes.py
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
class LogicStatement(LogicNode):
    """
    Logic AST statement base class.

    A Logic statement may modify the state of the machine by assigning tensors
    to Aliases.

    Logic statements evaluate to a tuple of tensors.
    """

    @abstractmethod
    def infer_dimmap(
        self,
        op: Callable,
        dim_bindings: dict[Alias, tuple[T | None, ...]],
    ) -> dict[Alias, tuple[T | None, ...]]:
        """Infers dimmaps for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        ...

    @abstractmethod
    def infer_valmap(
        self,
        f: Callable,
        g: Callable,
        bindings: dict[Alias, T],
    ) -> dict[Alias, T]:
        """Infers valmaps for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        ...

    def infer_shape_type(
        self,
        dim_bindings: dict[Alias, tuple[FType | None, ...]],
    ) -> dict[Alias, tuple[FType | None, ...]]:
        """Infers shape_type for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        return self.infer_dimmap(merge_dim_type, dim_bindings)

    def infer_shape(
        self,
        dim_bindings: dict[Alias, tuple[Any, ...]],
    ) -> dict[Alias, tuple[Any, ...]]:
        """Infers shapes for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        return self.infer_dimmap(merge_dim, dim_bindings)

    def infer_element_type(self, bindings: dict[Alias, FType]) -> dict[Alias, FType]:
        """Infers element types for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        return self.infer_valmap(merge_element_type, reduce_element_type, bindings)

    def infer_fill_value(
        self, bindings: dict[Alias, AbstractFill]
    ) -> dict[Alias, AbstractFill]:
        """Infers fill_values for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        return self.infer_valmap(merge_fill_value, reduce_fill_value, bindings)

infer_dimmap(op, dim_bindings) abstractmethod

Infers dimmaps for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
250
251
252
253
254
255
256
257
258
@abstractmethod
def infer_dimmap(
    self,
    op: Callable,
    dim_bindings: dict[Alias, tuple[T | None, ...]],
) -> dict[Alias, tuple[T | None, ...]]:
    """Infers dimmaps for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    ...

infer_element_type(bindings)

Infers element types for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
287
288
289
290
def infer_element_type(self, bindings: dict[Alias, FType]) -> dict[Alias, FType]:
    """Infers element types for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    return self.infer_valmap(merge_element_type, reduce_element_type, bindings)

infer_fill_value(bindings)

Infers fill_values for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
292
293
294
295
296
297
def infer_fill_value(
    self, bindings: dict[Alias, AbstractFill]
) -> dict[Alias, AbstractFill]:
    """Infers fill_values for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    return self.infer_valmap(merge_fill_value, reduce_fill_value, bindings)

infer_shape(dim_bindings)

Infers shapes for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
279
280
281
282
283
284
285
def infer_shape(
    self,
    dim_bindings: dict[Alias, tuple[Any, ...]],
) -> dict[Alias, tuple[Any, ...]]:
    """Infers shapes for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    return self.infer_dimmap(merge_dim, dim_bindings)

infer_shape_type(dim_bindings)

Infers shape_type for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
271
272
273
274
275
276
277
def infer_shape_type(
    self,
    dim_bindings: dict[Alias, tuple[FType | None, ...]],
) -> dict[Alias, tuple[FType | None, ...]]:
    """Infers shape_type for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    return self.infer_dimmap(merge_dim_type, dim_bindings)

infer_valmap(f, g, bindings) abstractmethod

Infers valmaps for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
260
261
262
263
264
265
266
267
268
269
@abstractmethod
def infer_valmap(
    self,
    f: Callable,
    g: Callable,
    bindings: dict[Alias, T],
) -> dict[Alias, T]:
    """Infers valmaps for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    ...

MapJoin dataclass

Bases: LogicTree, LogicExpression, CallTerm

Represents a logical AST expression for mapping the function op across args.... Dimensions which are not present are broadcasted. Dimensions which are present must match. The order of fields in the mapjoin is unique(vcat(map(getfields, args)...))

Attributes:

Name Type Description
op Literal

The function to map.

args tuple[LogicExpression, ...]

The arguments to map the function across.

Source code in src/finch/finch_logic/nodes.py
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
@dataclass(eq=True, frozen=True)
class MapJoin(LogicTree, LogicExpression, CallTerm):
    """
    Represents a logical AST expression for mapping the function `op` across `args...`.
    Dimensions which are not present are broadcasted. Dimensions which are
    present must match.  The order of fields in the mapjoin is
    `unique(vcat(map(getfields, args)...))`

    Attributes:
        op: The function to map.
        args: The arguments to map the function across.
    """

    op: Literal
    args: tuple[LogicExpression, ...]

    @property
    def children(self):
        """Returns the children of the node."""
        return [self.op, *self.args]

    def fields(self) -> tuple[Field, ...]:
        """Returns fields of the node."""
        args_fields = [x.fields() for x in self.args]
        return tuple(dict.fromkeys([f for fs in args_fields for f in fs]))

    def dimmap(
        self,
        op: Callable,
        dim_bindings: dict[Alias, tuple[T | None, ...]],
    ) -> tuple[T | None, ...]:
        arg_dims: dict[Field, T | None] = {}
        for arg in self.args:
            dims = arg.dimmap(op, dim_bindings)
            fields = arg.fields()
            for idx, dim in zip(fields, dims, strict=True):
                if idx in arg_dims:
                    arg_dims[idx] = op(arg_dims[idx], dim)
                else:
                    arg_dims[idx] = dim
        return tuple(arg_dims[f] for f in self.fields())

    def valmap(
        self,
        f: Callable,
        g: Callable,
        bindings: dict[Alias, T],
    ) -> T:
        return f(self.op.val, *[arg.valmap(f, g, bindings) for arg in self.args])

    @classmethod
    def from_children(cls, op, *args):
        return cls(op, args)

children property

Returns the children of the node.

fields()

Returns fields of the node.

Source code in src/finch/finch_logic/nodes.py
508
509
510
511
def fields(self) -> tuple[Field, ...]:
    """Returns fields of the node."""
    args_fields = [x.fields() for x in self.args]
    return tuple(dict.fromkeys([f for fs in args_fields for f in fs]))

Plan dataclass

Bases: LogicTree, LogicStatement

Represents a logical AST statement that executes a sequence of statements bodies.... Returns the last statement.

Attributes:

Name Type Description
bodies tuple[LogicStatement, ...]

The sequence of statements to execute.

Source code in src/finch/finch_logic/nodes.py
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
@dataclass(eq=True, frozen=True)
class Plan(LogicTree, LogicStatement):
    """
    Represents a logical AST statement that executes a sequence of statements
    `bodies...`. Returns the last statement.

    Attributes:
        bodies: The sequence of statements to execute.
    """

    bodies: tuple[LogicStatement, ...] = ()

    def infer_dimmap(
        self,
        op: Callable,
        dim_bindings: dict[Alias, tuple[T | None, ...]],
    ) -> dict[Alias, tuple[T | None, ...]]:
        """Infers dimmaps for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        for body in self.bodies:
            body.infer_dimmap(op, dim_bindings)
        return dim_bindings

    def infer_valmap(
        self,
        f: Callable,
        g: Callable,
        bindings: dict[Alias, T],
    ) -> dict[Alias, T]:
        """Infers valmaps for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        for body in self.bodies:
            body.infer_valmap(f, g, bindings)
        return bindings

    @property
    def children(self):
        """Returns the children of the node."""
        return [*self.bodies]

    @classmethod
    def from_children(cls, *bodies):
        return cls(bodies)

children property

Returns the children of the node.

infer_dimmap(op, dim_bindings)

Infers dimmaps for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
865
866
867
868
869
870
871
872
873
874
def infer_dimmap(
    self,
    op: Callable,
    dim_bindings: dict[Alias, tuple[T | None, ...]],
) -> dict[Alias, tuple[T | None, ...]]:
    """Infers dimmaps for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    for body in self.bodies:
        body.infer_dimmap(op, dim_bindings)
    return dim_bindings

infer_valmap(f, g, bindings)

Infers valmaps for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
876
877
878
879
880
881
882
883
884
885
886
def infer_valmap(
    self,
    f: Callable,
    g: Callable,
    bindings: dict[Alias, T],
) -> dict[Alias, T]:
    """Infers valmaps for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    for body in self.bodies:
        body.infer_valmap(f, g, bindings)
    return bindings

Produces dataclass

Bases: LogicTree, LogicStatement

Represents a logical AST statement that returns args... from the current plan. Halts execution of the program.

Attributes:

Name Type Description
args tuple[Alias | LogicExpression, ...]

The arguments to return.

Source code in src/finch/finch_logic/nodes.py
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
@dataclass(eq=True, frozen=True)
class Produces(LogicTree, LogicStatement):
    """
    Represents a logical AST statement that returns `args...` from the current plan.
    Halts execution of the program.

    Attributes:
        args: The arguments to return.
    """

    args: tuple[Alias | LogicExpression, ...]

    @property
    def children(self):
        """Returns the children of the node."""
        return [*self.args]

    @classmethod
    def from_children(cls, *args):
        return cls(args)

    def infer_dimmap(
        self,
        op: Callable,
        dim_bindings: dict[Alias, tuple[T | None, ...]],
    ) -> dict[Alias, tuple[T | None, ...]]:
        """Infers dimmaps for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        return dim_bindings

    def infer_valmap(
        self,
        f: Callable,
        g: Callable,
        bindings: dict[Alias, T],
    ) -> dict[Alias, T]:
        """Infers valmaps for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        return bindings

children property

Returns the children of the node.

infer_dimmap(op, dim_bindings)

Infers dimmaps for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
833
834
835
836
837
838
839
840
def infer_dimmap(
    self,
    op: Callable,
    dim_bindings: dict[Alias, tuple[T | None, ...]],
) -> dict[Alias, tuple[T | None, ...]]:
    """Infers dimmaps for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    return dim_bindings

infer_valmap(f, g, bindings)

Infers valmaps for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
842
843
844
845
846
847
848
849
850
def infer_valmap(
    self,
    f: Callable,
    g: Callable,
    bindings: dict[Alias, T],
) -> dict[Alias, T]:
    """Infers valmaps for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    return bindings

Query dataclass

Bases: LogicTree, LogicStatement

Represents a logical AST statement that evaluates rhs, storing the result in the table lhs. The alias lhs.tns is bound to a tensor whose dimensions are ordered as lhs.idxs, so a query behaves as though its right-hand side were wrapped in Reorder(rhs, lhs.idxs). A query is not in place: the previous value of lhs.tns is replaced, and is only read if rhs refers to it. See QueryInto for in-place updates.

Attributes:

Name Type Description
lhs Table

The table to write, a Table wrapping an Alias.

rhs LogicExpression

The right-hand side to evaluate.

Source code in src/finch/finch_logic/nodes.py
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
@dataclass(eq=True, frozen=True)
class Query(LogicTree, LogicStatement):
    """
    Represents a logical AST statement that evaluates `rhs`, storing the result
    in the table `lhs`. The alias `lhs.tns` is bound to a tensor whose
    dimensions are ordered as `lhs.idxs`, so a query behaves as though its
    right-hand side were wrapped in `Reorder(rhs, lhs.idxs)`. A query is not
    in place: the previous value of `lhs.tns` is replaced, and is only read if
    `rhs` refers to it. See `QueryInto` for in-place updates.

    Attributes:
        lhs: The table to write, a `Table` wrapping an `Alias`.
        rhs: The right-hand side to evaluate.
    """

    lhs: Table
    rhs: LogicExpression

    @property
    def children(self):
        """Returns the children of the node."""
        return [self.lhs, self.rhs]

    def infer_dimmap(
        self,
        op: Callable,
        dim_bindings: dict[Alias, tuple[T | None, ...]],
    ) -> dict[Alias, tuple[T | None, ...]]:
        """Infers dimmaps for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        var = self.lhs.tns
        assert isinstance(var, Alias)
        dims = Reorder(self.rhs, self.lhs.idxs).dimmap(op, dim_bindings)
        if var in dim_bindings:
            for dim1, dim2 in zip(dims, dim_bindings[var], strict=True):
                op(dim1, dim2)
        else:
            dim_bindings[var] = dims
        return dim_bindings

    def infer_valmap(
        self,
        f: Callable,
        g: Callable,
        bindings: dict[Alias, T],
    ) -> dict[Alias, T]:
        """Infers valmaps for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        var = self.lhs.tns
        assert isinstance(var, Alias)
        if var in bindings:
            val = self.rhs.valmap(f, g, bindings)
            prev = bindings[var]
            # A dynamic value is compatible with any value of its dtype.
            if not (is_dynamic(val) or is_dynamic(prev)) and val != prev:
                raise ValueError(f"Cannot rebind alias {var} to a different values")
        else:
            bindings[var] = self.rhs.valmap(f, g, bindings)
        return bindings

children property

Returns the children of the node.

infer_dimmap(op, dim_bindings)

Infers dimmaps for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
def infer_dimmap(
    self,
    op: Callable,
    dim_bindings: dict[Alias, tuple[T | None, ...]],
) -> dict[Alias, tuple[T | None, ...]]:
    """Infers dimmaps for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    var = self.lhs.tns
    assert isinstance(var, Alias)
    dims = Reorder(self.rhs, self.lhs.idxs).dimmap(op, dim_bindings)
    if var in dim_bindings:
        for dim1, dim2 in zip(dims, dim_bindings[var], strict=True):
            op(dim1, dim2)
    else:
        dim_bindings[var] = dims
    return dim_bindings

infer_valmap(f, g, bindings)

Infers valmaps for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
def infer_valmap(
    self,
    f: Callable,
    g: Callable,
    bindings: dict[Alias, T],
) -> dict[Alias, T]:
    """Infers valmaps for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    var = self.lhs.tns
    assert isinstance(var, Alias)
    if var in bindings:
        val = self.rhs.valmap(f, g, bindings)
        prev = bindings[var]
        # A dynamic value is compatible with any value of its dtype.
        if not (is_dynamic(val) or is_dynamic(prev)) and val != prev:
            raise ValueError(f"Cannot rebind alias {var} to a different values")
    else:
        bindings[var] = self.rhs.valmap(f, g, bindings)
    return bindings

QueryInto dataclass

Bases: LogicTree, LogicStatement

Represents a logical AST statement that updates the table lhs in place, using the reduction operator op to fold each element of rhs into the matching element of lhs. The alias lhs.tns must already be bound. The fields of rhs which are not in lhs.idxs are reduced with op, and rhs is broadcast over the fields of lhs which it lacks, so a QueryInto is equivalent to the aggregate which starts from lhs, Query(lhs, Aggregate(op, lhs, rhs, setdiff(rhs.fields(), lhs.idxs))).

Attributes:

Name Type Description
lhs Table

The table to update, a Table wrapping an Alias.

op Literal

The reduction operator used to combine old and new values.

rhs LogicExpression

The right-hand side to evaluate.

Source code in src/finch/finch_logic/nodes.py
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
@dataclass(eq=True, frozen=True)
class QueryInto(LogicTree, LogicStatement):
    """
    Represents a logical AST statement that updates the table `lhs` in place,
    using the reduction operator `op` to fold each element of `rhs` into the
    matching element of `lhs`. The alias `lhs.tns` must already be bound. The
    fields of `rhs` which are not in `lhs.idxs` are reduced with `op`, and `rhs`
    is broadcast over the fields of `lhs` which it lacks, so a `QueryInto` is
    equivalent to the aggregate which starts from `lhs`,
    `Query(lhs, Aggregate(op, lhs, rhs, setdiff(rhs.fields(), lhs.idxs)))`.

    Attributes:
        lhs: The table to update, a `Table` wrapping an `Alias`.
        op: The reduction operator used to combine old and new values.
        rhs: The right-hand side to evaluate.
    """

    lhs: Table
    op: Literal
    rhs: LogicExpression

    @property
    def children(self):
        """Returns the children of the node."""
        return [self.lhs, self.op, self.rhs]

    def as_query(self) -> Query:
        """The equivalent aggregate query, which is not in place."""
        idxs = tuple(idx for idx in self.rhs.fields() if idx not in self.lhs.idxs)
        return Query(self.lhs, Aggregate(self.op, self.lhs, self.rhs, idxs))

    def infer_dimmap(
        self,
        op: Callable,
        dim_bindings: dict[Alias, tuple[T | None, ...]],
    ) -> dict[Alias, tuple[T | None, ...]]:
        """Infers dimmaps for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        return self.as_query().infer_dimmap(op, dim_bindings)

    def infer_valmap(
        self,
        f: Callable,
        g: Callable,
        bindings: dict[Alias, T],
    ) -> dict[Alias, T]:
        """Infers valmaps for all aliases defined in the statement. The results
        will be stored in the dictionary passed to the method."""
        return self.as_query().infer_valmap(f, g, bindings)

children property

Returns the children of the node.

as_query()

The equivalent aggregate query, which is not in place.

Source code in src/finch/finch_logic/nodes.py
787
788
789
790
def as_query(self) -> Query:
    """The equivalent aggregate query, which is not in place."""
    idxs = tuple(idx for idx in self.rhs.fields() if idx not in self.lhs.idxs)
    return Query(self.lhs, Aggregate(self.op, self.lhs, self.rhs, idxs))

infer_dimmap(op, dim_bindings)

Infers dimmaps for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
792
793
794
795
796
797
798
799
def infer_dimmap(
    self,
    op: Callable,
    dim_bindings: dict[Alias, tuple[T | None, ...]],
) -> dict[Alias, tuple[T | None, ...]]:
    """Infers dimmaps for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    return self.as_query().infer_dimmap(op, dim_bindings)

infer_valmap(f, g, bindings)

Infers valmaps for all aliases defined in the statement. The results will be stored in the dictionary passed to the method.

Source code in src/finch/finch_logic/nodes.py
801
802
803
804
805
806
807
808
809
def infer_valmap(
    self,
    f: Callable,
    g: Callable,
    bindings: dict[Alias, T],
) -> dict[Alias, T]:
    """Infers valmaps for all aliases defined in the statement. The results
    will be stored in the dictionary passed to the method."""
    return self.as_query().infer_valmap(f, g, bindings)

Relabel dataclass

Bases: LogicTree, LogicExpression

Represents a logical AST statement that relabels the dimensions of arg to be idxs.... Number of fields of arg and idxs must match.

Attributes:

Name Type Description
arg LogicExpression

The argument to relabel.

idxs tuple[Field, ...]

The new labels for dimensions.

Source code in src/finch/finch_logic/nodes.py
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
@dataclass(eq=True, frozen=True)
class Relabel(LogicTree, LogicExpression):
    """
    Represents a logical AST statement that relabels the dimensions of `arg` to be
    `idxs...`. Number of fields of `arg` and `idxs` must match.

    Attributes:
        arg: The argument to relabel.
        idxs: The new labels for dimensions.
    """

    arg: LogicExpression
    idxs: tuple[Field, ...]

    def fields(self) -> tuple[Field, ...]:
        """Returns fields of the node."""
        return self.idxs

    def dimmap(
        self, op: Callable, dim_bindings: dict[Alias, tuple[T | None, ...]]
    ) -> tuple[T | None, ...]:
        return self.arg.dimmap(op, dim_bindings)

    def valmap(
        self,
        f: Callable,
        g: Callable,
        bindings: dict[Alias, T],
    ) -> T:
        return self.arg.valmap(f, g, bindings)

    @property
    def children(self):
        """Returns the children of the node."""
        return [self.arg, *self.idxs]

    @classmethod
    def from_children(cls, arg, *idxs):
        return cls(arg, idxs)

children property

Returns the children of the node.

fields()

Returns fields of the node.

Source code in src/finch/finch_logic/nodes.py
673
674
675
def fields(self) -> tuple[Field, ...]:
    """Returns fields of the node."""
    return self.idxs

Reorder dataclass

Bases: LogicTree, LogicExpression

Represents a logical AST statement that reorders the dimensions of arg to be idxs.... Dimensions known to be length 1 may be dropped. Dimensions that do not exist in arg may be added.

Attributes:

Name Type Description
arg LogicExpression

The argument to reorder.

idxs tuple[Field, ...]

The new order of dimensions.

Source code in src/finch/finch_logic/nodes.py
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
@dataclass(eq=True, frozen=True)
class Reorder(LogicTree, LogicExpression):
    """
    Represents a logical AST statement that reorders the dimensions of `arg` to be
    `idxs...`. Dimensions known to be length 1 may be dropped. Dimensions that do not
    exist in `arg` may be added.

    Attributes:
        arg: The argument to reorder.
        idxs: The new order of dimensions.
    """

    arg: LogicExpression
    idxs: tuple[Field, ...]

    @property
    def children(self):
        """Returns the children of the node."""
        return [self.arg, *self.idxs]

    def fields(self) -> tuple[Field, ...]:
        """Returns fields of the node."""
        return self.idxs

    def dimmap(
        self, op: Callable, dim_bindings: dict[Alias, tuple[T | None, ...]]
    ) -> tuple[T | None, ...]:
        idxs = self.arg.fields()
        dims = self.arg.dimmap(op, dim_bindings)
        idx_dims = dict(zip(idxs, dims, strict=True))
        for idx in idxs:
            if idx not in self.idxs:
                # when squeezing a dimension, we combine with None
                op(idx_dims[idx], None)
        return tuple(idx_dims.get(f) for f in self.idxs)

    def valmap(
        self,
        f: Callable,
        g: Callable,
        bindings: dict[Alias, T],
    ) -> T:
        return self.arg.valmap(f, g, bindings)

    @classmethod
    def from_children(cls, arg, *idxs):
        return cls(arg, idxs)

children property

Returns the children of the node.

fields()

Returns fields of the node.

Source code in src/finch/finch_logic/nodes.py
630
631
632
def fields(self) -> tuple[Field, ...]:
    """Returns fields of the node."""
    return self.idxs

Table dataclass

Bases: LogicTree, LogicExpression

Represents a logical AST expression for a tensor object tns, indexed by fields idxs.... A table is a tensor with named dimensions.

Attributes:

Name Type Description
tns Literal | Alias

The tensor object.

idxs tuple[Field, ...]

The fields indexing the tensor.

Source code in src/finch/finch_logic/nodes.py
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
@dataclass(eq=True, frozen=True)
class Table(LogicTree, LogicExpression):
    """
    Represents a logical AST expression for a tensor object `tns`, indexed by fields
    `idxs...`. A table is a tensor with named dimensions.

    Attributes:
        tns: The tensor object.
        idxs: The fields indexing the tensor.
    """

    tns: Literal | Alias
    idxs: tuple[Field, ...]

    @property
    def children(self):
        """Returns the children of the node."""
        return [self.tns, *self.idxs]

    def fields(self) -> tuple[Field, ...]:
        """Returns fields of the node."""
        return self.idxs

    def dimmap(
        self, op: Callable, dim_bindings: dict[Alias, tuple[T | None, ...]]
    ) -> tuple[T | None, ...]:
        if isinstance(self.tns, Alias):
            if self.tns not in dim_bindings:
                raise NotImplementedError(
                    f"Cannot resolve dims of Alias {self.tns.name}"
                )
            return dim_bindings[self.tns]
        raise NotImplementedError(f"Cannot resolve dims of {type(self.tns).__name__}")

    def valmap(
        self,
        f: Callable,
        g: Callable,
        bindings: dict[Alias, T],
    ) -> T:
        if isinstance(self.tns, Alias):
            if self.tns not in bindings:
                raise NotImplementedError(
                    f"Cannot resolve value of Alias {self.tns.name}"
                )
            return bindings[self.tns]
        raise NotImplementedError("Cannot resolve value of Tables")

    @classmethod
    def from_children(cls, tns, *idxs):
        return cls(tns, idxs)

children property

Returns the children of the node.

fields()

Returns fields of the node.

Source code in src/finch/finch_logic/nodes.py
453
454
455
def fields(self) -> tuple[Field, ...]:
    """Returns fields of the node."""
    return self.idxs

Value dataclass

Bases: LogicNode

Represents a logical AST expression for an expression ex of type type, yet to be evaluated.

Attributes:

Name Type Description
ex Any

The expression to be evaluated.

type_ Any

The type of the expression.

Source code in src/finch/finch_logic/nodes.py
359
360
361
362
363
364
365
366
367
368
369
370
371
@dataclass(eq=True, frozen=True)
class Value(LogicNode):
    """
    Represents a logical AST expression for an expression `ex` of type `type`,
    yet to be evaluated.

    Attributes:
        ex: The expression to be evaluated.
        type_: The type of the expression.
    """

    ex: Any
    type_: Any