datafusion_expr/udwf.rs
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17
18//! [`WindowUDF`]: User Defined Window Functions
19
20use arrow::compute::SortOptions;
21use std::cmp::Ordering;
22use std::hash::{DefaultHasher, Hash, Hasher};
23use std::{
24 any::Any,
25 fmt::{self, Debug, Display, Formatter},
26 sync::Arc,
27};
28
29use arrow::datatypes::{DataType, FieldRef};
30
31use crate::expr::WindowFunction;
32use crate::{
33 function::WindowFunctionSimplification, Expr, PartitionEvaluator, Signature,
34};
35use datafusion_common::{not_impl_err, Result};
36use datafusion_doc::Documentation;
37use datafusion_functions_window_common::expr::ExpressionArgs;
38use datafusion_functions_window_common::field::WindowUDFFieldArgs;
39use datafusion_functions_window_common::partition::PartitionEvaluatorArgs;
40use datafusion_physical_expr_common::physical_expr::PhysicalExpr;
41
42/// Logical representation of a user-defined window function (UDWF).
43///
44/// A Window Function is called via the SQL `OVER` clause:
45///
46/// ```sql
47/// SELECT first_value(col) OVER (PARTITION BY a, b ORDER BY c) FROM foo;
48/// ```
49///
50/// A UDWF is different from a user defined function (UDF) in that it is
51/// stateful across batches.
52///
53/// See the documentation on [`PartitionEvaluator`] for more details
54///
55/// 1. For simple use cases, use [`create_udwf`] (examples in
56/// [`simple_udwf.rs`]).
57///
58/// 2. For advanced use cases, use [`WindowUDFImpl`] which provides full API
59/// access (examples in [`advanced_udwf.rs`]).
60///
61/// # API Note
62/// This is a separate struct from `WindowUDFImpl` to maintain backwards
63/// compatibility with the older API.
64///
65/// [`PartitionEvaluator`]: crate::PartitionEvaluator
66/// [`create_udwf`]: crate::expr_fn::create_udwf
67/// [`simple_udwf.rs`]: https://github.com/apache/datafusion/blob/main/datafusion-examples/examples/simple_udwf.rs
68/// [`advanced_udwf.rs`]: https://github.com/apache/datafusion/blob/main/datafusion-examples/examples/advanced_udwf.rs
69#[derive(Debug, Clone, PartialOrd)]
70pub struct WindowUDF {
71 inner: Arc<dyn WindowUDFImpl>,
72}
73
74/// Defines how the WindowUDF is shown to users
75impl Display for WindowUDF {
76 fn fmt(&self, f: &mut Formatter) -> fmt::Result {
77 write!(f, "{}", self.name())
78 }
79}
80
81impl PartialEq for WindowUDF {
82 fn eq(&self, other: &Self) -> bool {
83 self.inner.equals(other.inner.as_ref())
84 }
85}
86
87impl Eq for WindowUDF {}
88
89impl Hash for WindowUDF {
90 fn hash<H: Hasher>(&self, state: &mut H) {
91 self.inner.hash_value().hash(state)
92 }
93}
94
95impl WindowUDF {
96 /// Create a new `WindowUDF` from a `[WindowUDFImpl]` trait object
97 ///
98 /// Note this is the same as using the `From` impl (`WindowUDF::from`)
99 pub fn new_from_impl<F>(fun: F) -> WindowUDF
100 where
101 F: WindowUDFImpl + 'static,
102 {
103 Self::new_from_shared_impl(Arc::new(fun))
104 }
105
106 /// Create a new `WindowUDF` from a `[WindowUDFImpl]` trait object
107 pub fn new_from_shared_impl(fun: Arc<dyn WindowUDFImpl>) -> WindowUDF {
108 Self { inner: fun }
109 }
110
111 /// Return the underlying [`WindowUDFImpl`] trait object for this function
112 pub fn inner(&self) -> &Arc<dyn WindowUDFImpl> {
113 &self.inner
114 }
115
116 /// Adds additional names that can be used to invoke this function, in
117 /// addition to `name`
118 ///
119 /// If you implement [`WindowUDFImpl`] directly you should return aliases directly.
120 pub fn with_aliases(self, aliases: impl IntoIterator<Item = &'static str>) -> Self {
121 Self::new_from_impl(AliasedWindowUDFImpl::new(Arc::clone(&self.inner), aliases))
122 }
123
124 /// creates a [`Expr`] that calls the window function with default
125 /// values for `order_by`, `partition_by`, `window_frame`.
126 ///
127 /// See [`ExprFunctionExt`] for details on setting these values.
128 ///
129 /// This utility allows using a user defined window function without
130 /// requiring access to the registry, such as with the DataFrame API.
131 ///
132 /// [`ExprFunctionExt`]: crate::expr_fn::ExprFunctionExt
133 pub fn call(&self, args: Vec<Expr>) -> Expr {
134 let fun = crate::WindowFunctionDefinition::WindowUDF(Arc::new(self.clone()));
135
136 Expr::from(WindowFunction::new(fun, args))
137 }
138
139 /// Returns this function's name
140 ///
141 /// See [`WindowUDFImpl::name`] for more details.
142 pub fn name(&self) -> &str {
143 self.inner.name()
144 }
145
146 /// Returns the aliases for this function.
147 pub fn aliases(&self) -> &[String] {
148 self.inner.aliases()
149 }
150
151 /// Returns this function's signature (what input types are accepted)
152 ///
153 /// See [`WindowUDFImpl::signature`] for more details.
154 pub fn signature(&self) -> &Signature {
155 self.inner.signature()
156 }
157
158 /// Do the function rewrite
159 ///
160 /// See [`WindowUDFImpl::simplify`] for more details.
161 pub fn simplify(&self) -> Option<WindowFunctionSimplification> {
162 self.inner.simplify()
163 }
164
165 /// Expressions that are passed to the [`PartitionEvaluator`].
166 ///
167 /// See [`WindowUDFImpl::expressions`] for more details.
168 pub fn expressions(&self, expr_args: ExpressionArgs) -> Vec<Arc<dyn PhysicalExpr>> {
169 self.inner.expressions(expr_args)
170 }
171 /// Return a `PartitionEvaluator` for evaluating this window function
172 pub fn partition_evaluator_factory(
173 &self,
174 partition_evaluator_args: PartitionEvaluatorArgs,
175 ) -> Result<Box<dyn PartitionEvaluator>> {
176 self.inner.partition_evaluator(partition_evaluator_args)
177 }
178
179 /// Returns the field of the final result of evaluating this window function.
180 ///
181 /// See [`WindowUDFImpl::field`] for more details.
182 pub fn field(&self, field_args: WindowUDFFieldArgs) -> Result<FieldRef> {
183 self.inner.field(field_args)
184 }
185
186 /// Returns custom result ordering introduced by this window function
187 /// which is used to update ordering equivalences.
188 ///
189 /// See [`WindowUDFImpl::sort_options`] for more details.
190 pub fn sort_options(&self) -> Option<SortOptions> {
191 self.inner.sort_options()
192 }
193
194 /// See [`WindowUDFImpl::coerce_types`] for more details.
195 pub fn coerce_types(&self, arg_types: &[DataType]) -> Result<Vec<DataType>> {
196 self.inner.coerce_types(arg_types)
197 }
198
199 /// Returns the reversed user-defined window function when the
200 /// order of evaluation is reversed.
201 ///
202 /// See [`WindowUDFImpl::reverse_expr`] for more details.
203 pub fn reverse_expr(&self) -> ReversedUDWF {
204 self.inner.reverse_expr()
205 }
206
207 /// Returns the documentation for this Window UDF.
208 ///
209 /// Documentation can be accessed programmatically as well as
210 /// generating publicly facing documentation.
211 pub fn documentation(&self) -> Option<&Documentation> {
212 self.inner.documentation()
213 }
214}
215
216impl<F> From<F> for WindowUDF
217where
218 F: WindowUDFImpl + Send + Sync + 'static,
219{
220 fn from(fun: F) -> Self {
221 Self::new_from_impl(fun)
222 }
223}
224
225/// Trait for implementing [`WindowUDF`].
226///
227/// This trait exposes the full API for implementing user defined window functions and
228/// can be used to implement any function.
229///
230/// See [`advanced_udwf.rs`] for a full example with complete implementation and
231/// [`WindowUDF`] for other available options.
232///
233///
234/// [`advanced_udwf.rs`]: https://github.com/apache/datafusion/blob/main/datafusion-examples/examples/advanced_udwf.rs
235/// # Basic Example
236/// ```
237/// # use std::any::Any;
238/// # use std::sync::LazyLock;
239/// # use arrow::datatypes::{DataType, Field, FieldRef};
240/// # use datafusion_common::{DataFusionError, plan_err, Result};
241/// # use datafusion_expr::{col, Signature, Volatility, PartitionEvaluator, WindowFrame, ExprFunctionExt, Documentation};
242/// # use datafusion_expr::{WindowUDFImpl, WindowUDF};
243/// # use datafusion_functions_window_common::field::WindowUDFFieldArgs;
244/// # use datafusion_functions_window_common::partition::PartitionEvaluatorArgs;
245/// # use datafusion_expr::window_doc_sections::DOC_SECTION_ANALYTICAL;
246///
247/// #[derive(Debug, Clone)]
248/// struct SmoothIt {
249/// signature: Signature,
250/// }
251///
252/// impl SmoothIt {
253/// fn new() -> Self {
254/// Self {
255/// signature: Signature::uniform(1, vec![DataType::Int32], Volatility::Immutable),
256/// }
257/// }
258/// }
259///
260/// static DOCUMENTATION: LazyLock<Documentation> = LazyLock::new(|| {
261/// Documentation::builder(DOC_SECTION_ANALYTICAL, "smooths the windows", "smooth_it(2)")
262/// .with_argument("arg1", "The int32 number to smooth by")
263/// .build()
264/// });
265///
266/// fn get_doc() -> &'static Documentation {
267/// &DOCUMENTATION
268/// }
269///
270/// /// Implement the WindowUDFImpl trait for SmoothIt
271/// impl WindowUDFImpl for SmoothIt {
272/// fn as_any(&self) -> &dyn Any { self }
273/// fn name(&self) -> &str { "smooth_it" }
274/// fn signature(&self) -> &Signature { &self.signature }
275/// // The actual implementation would smooth the window
276/// fn partition_evaluator(
277/// &self,
278/// _partition_evaluator_args: PartitionEvaluatorArgs,
279/// ) -> Result<Box<dyn PartitionEvaluator>> {
280/// unimplemented!()
281/// }
282/// fn field(&self, field_args: WindowUDFFieldArgs) -> Result<FieldRef> {
283/// if let Some(DataType::Int32) = field_args.get_input_field(0).map(|f| f.data_type().clone()) {
284/// Ok(Field::new(field_args.name(), DataType::Int32, false).into())
285/// } else {
286/// plan_err!("smooth_it only accepts Int32 arguments")
287/// }
288/// }
289/// fn documentation(&self) -> Option<&Documentation> {
290/// Some(get_doc())
291/// }
292/// }
293///
294/// // Create a new WindowUDF from the implementation
295/// let smooth_it = WindowUDF::from(SmoothIt::new());
296///
297/// // Call the function `add_one(col)`
298/// // smooth_it(speed) OVER (PARTITION BY car ORDER BY time ASC)
299/// let expr = smooth_it.call(vec![col("speed")])
300/// .partition_by(vec![col("car")])
301/// .order_by(vec![col("time").sort(true, true)])
302/// .window_frame(WindowFrame::new(None))
303/// .build()
304/// .unwrap();
305/// ```
306pub trait WindowUDFImpl: Debug + Send + Sync {
307 // Note: When adding any methods (with default implementations), remember to add them also
308 // into the AliasedWindowUDFImpl below!
309
310 /// Returns this object as an [`Any`] trait object
311 fn as_any(&self) -> &dyn Any;
312
313 /// Returns this function's name
314 fn name(&self) -> &str;
315
316 /// Returns any aliases (alternate names) for this function.
317 ///
318 /// Note: `aliases` should only include names other than [`Self::name`].
319 /// Defaults to `[]` (no aliases)
320 fn aliases(&self) -> &[String] {
321 &[]
322 }
323
324 /// Returns the function's [`Signature`] for information about what input
325 /// types are accepted and the function's Volatility.
326 fn signature(&self) -> &Signature;
327
328 /// Returns the expressions that are passed to the [`PartitionEvaluator`].
329 fn expressions(&self, expr_args: ExpressionArgs) -> Vec<Arc<dyn PhysicalExpr>> {
330 expr_args.input_exprs().into()
331 }
332
333 /// Invoke the function, returning the [`PartitionEvaluator`] instance
334 fn partition_evaluator(
335 &self,
336 partition_evaluator_args: PartitionEvaluatorArgs,
337 ) -> Result<Box<dyn PartitionEvaluator>>;
338
339 /// Optionally apply per-UDWF simplification / rewrite rules.
340 ///
341 /// This can be used to apply function specific simplification rules during
342 /// optimization. The default implementation does nothing.
343 ///
344 /// Note that DataFusion handles simplifying arguments and "constant
345 /// folding" (replacing a function call with constant arguments such as
346 /// `my_add(1,2) --> 3` ). Thus, there is no need to implement such
347 /// optimizations manually for specific UDFs.
348 ///
349 /// Example:
350 /// [`advanced_udwf.rs`]: <https://github.com/apache/arrow-datafusion/blob/main/datafusion-examples/examples/advanced_udwf.rs>
351 ///
352 /// # Returns
353 /// [None] if simplify is not defined or,
354 ///
355 /// Or, a closure with two arguments:
356 /// * 'window_function': [crate::expr::WindowFunction] for which simplified has been invoked
357 /// * 'info': [crate::simplify::SimplifyInfo]
358 fn simplify(&self) -> Option<WindowFunctionSimplification> {
359 None
360 }
361
362 /// Return true if this window UDF is equal to the other.
363 ///
364 /// Allows customizing the equality of window UDFs.
365 /// *Must* be implemented explicitly if the UDF type has internal state.
366 /// Must be consistent with [`Self::hash_value`] and follow the same rules as [`Eq`]:
367 ///
368 /// - reflexive: `a.equals(a)`;
369 /// - symmetric: `a.equals(b)` implies `b.equals(a)`;
370 /// - transitive: `a.equals(b)` and `b.equals(c)` implies `a.equals(c)`.
371 ///
372 /// By default, compares type, [`Self::name`], [`Self::aliases`] and [`Self::signature`].
373 fn equals(&self, other: &dyn WindowUDFImpl) -> bool {
374 self.as_any().type_id() == other.as_any().type_id()
375 && self.name() == other.name()
376 && self.aliases() == other.aliases()
377 && self.signature() == other.signature()
378 }
379
380 /// Returns a hash value for this window UDF.
381 ///
382 /// Allows customizing the hash code of window UDFs.
383 /// *Must* be implemented explicitly whenever [`Self::equals`] is implemented.
384 ///
385 /// Similarly to [`Hash`] and [`Eq`], if [`Self::equals`] returns true for two UDFs,
386 /// their `hash_value`s must be the same.
387 ///
388 /// By default, it is consistent with default implementation of [`Self::equals`].
389 fn hash_value(&self) -> u64 {
390 let hasher = &mut DefaultHasher::new();
391 self.as_any().type_id().hash(hasher);
392 self.name().hash(hasher);
393 self.aliases().hash(hasher);
394 self.signature().hash(hasher);
395 hasher.finish()
396 }
397
398 /// The [`FieldRef`] of the final result of evaluating this window function.
399 ///
400 /// Call `field_args.name()` to get the fully qualified name for defining
401 /// the [`FieldRef`]. For a complete example see the implementation in the
402 /// [Basic Example](WindowUDFImpl#basic-example) section.
403 fn field(&self, field_args: WindowUDFFieldArgs) -> Result<FieldRef>;
404
405 /// Allows the window UDF to define a custom result ordering.
406 ///
407 /// By default, a window UDF doesn't introduce an ordering.
408 /// But when specified by a window UDF this is used to update
409 /// ordering equivalences.
410 fn sort_options(&self) -> Option<SortOptions> {
411 None
412 }
413
414 /// Coerce arguments of a function call to types that the function can evaluate.
415 ///
416 /// This function is only called if [`WindowUDFImpl::signature`] returns [`crate::TypeSignature::UserDefined`]. Most
417 /// UDWFs should return one of the other variants of `TypeSignature` which handle common
418 /// cases
419 ///
420 /// See the [type coercion module](crate::type_coercion)
421 /// documentation for more details on type coercion
422 ///
423 /// For example, if your function requires a floating point arguments, but the user calls
424 /// it like `my_func(1::int)` (aka with `1` as an integer), coerce_types could return `[DataType::Float64]`
425 /// to ensure the argument was cast to `1::double`
426 ///
427 /// # Parameters
428 /// * `arg_types`: The argument types of the arguments this function with
429 ///
430 /// # Return value
431 /// A Vec the same length as `arg_types`. DataFusion will `CAST` the function call
432 /// arguments to these specific types.
433 fn coerce_types(&self, _arg_types: &[DataType]) -> Result<Vec<DataType>> {
434 not_impl_err!("Function {} does not implement coerce_types", self.name())
435 }
436
437 /// Allows customizing the behavior of the user-defined window
438 /// function when it is evaluated in reverse order.
439 fn reverse_expr(&self) -> ReversedUDWF {
440 ReversedUDWF::NotSupported
441 }
442
443 /// Returns the documentation for this Window UDF.
444 ///
445 /// Documentation can be accessed programmatically as well as
446 /// generating publicly facing documentation.
447 fn documentation(&self) -> Option<&Documentation> {
448 None
449 }
450}
451
452pub enum ReversedUDWF {
453 /// The result of evaluating the user-defined window function
454 /// remains identical when reversed.
455 Identical,
456 /// A window function which does not support evaluating the result
457 /// in reverse order.
458 NotSupported,
459 /// Customize the user-defined window function for evaluating the
460 /// result in reverse order.
461 Reversed(Arc<WindowUDF>),
462}
463
464impl PartialEq for dyn WindowUDFImpl {
465 fn eq(&self, other: &Self) -> bool {
466 self.equals(other)
467 }
468}
469
470impl PartialOrd for dyn WindowUDFImpl {
471 fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
472 match self.name().partial_cmp(other.name()) {
473 Some(Ordering::Equal) => self.signature().partial_cmp(other.signature()),
474 cmp => cmp,
475 }
476 }
477}
478
479/// WindowUDF that adds an alias to the underlying function. It is better to
480/// implement [`WindowUDFImpl`], which supports aliases, directly if possible.
481#[derive(Debug)]
482struct AliasedWindowUDFImpl {
483 inner: Arc<dyn WindowUDFImpl>,
484 aliases: Vec<String>,
485}
486
487impl AliasedWindowUDFImpl {
488 pub fn new(
489 inner: Arc<dyn WindowUDFImpl>,
490 new_aliases: impl IntoIterator<Item = &'static str>,
491 ) -> Self {
492 let mut aliases = inner.aliases().to_vec();
493 aliases.extend(new_aliases.into_iter().map(|s| s.to_string()));
494
495 Self { inner, aliases }
496 }
497}
498
499impl WindowUDFImpl for AliasedWindowUDFImpl {
500 fn as_any(&self) -> &dyn Any {
501 self
502 }
503
504 fn name(&self) -> &str {
505 self.inner.name()
506 }
507
508 fn signature(&self) -> &Signature {
509 self.inner.signature()
510 }
511
512 fn expressions(&self, expr_args: ExpressionArgs) -> Vec<Arc<dyn PhysicalExpr>> {
513 expr_args
514 .input_exprs()
515 .first()
516 .map_or(vec![], |expr| vec![Arc::clone(expr)])
517 }
518
519 fn partition_evaluator(
520 &self,
521 partition_evaluator_args: PartitionEvaluatorArgs,
522 ) -> Result<Box<dyn PartitionEvaluator>> {
523 self.inner.partition_evaluator(partition_evaluator_args)
524 }
525
526 fn aliases(&self) -> &[String] {
527 &self.aliases
528 }
529
530 fn simplify(&self) -> Option<WindowFunctionSimplification> {
531 self.inner.simplify()
532 }
533
534 fn equals(&self, other: &dyn WindowUDFImpl) -> bool {
535 if let Some(other) = other.as_any().downcast_ref::<AliasedWindowUDFImpl>() {
536 self.inner.equals(other.inner.as_ref()) && self.aliases == other.aliases
537 } else {
538 false
539 }
540 }
541
542 fn hash_value(&self) -> u64 {
543 let hasher = &mut DefaultHasher::new();
544 self.inner.hash_value().hash(hasher);
545 self.aliases.hash(hasher);
546 hasher.finish()
547 }
548
549 fn field(&self, field_args: WindowUDFFieldArgs) -> Result<FieldRef> {
550 self.inner.field(field_args)
551 }
552
553 fn sort_options(&self) -> Option<SortOptions> {
554 self.inner.sort_options()
555 }
556
557 fn coerce_types(&self, arg_types: &[DataType]) -> Result<Vec<DataType>> {
558 self.inner.coerce_types(arg_types)
559 }
560
561 fn documentation(&self) -> Option<&Documentation> {
562 self.inner.documentation()
563 }
564}
565
566// Window UDF doc sections for use in public documentation
567pub mod window_doc_sections {
568 use datafusion_doc::DocSection;
569
570 pub fn doc_sections() -> Vec<DocSection> {
571 vec![
572 DOC_SECTION_AGGREGATE,
573 DOC_SECTION_RANKING,
574 DOC_SECTION_ANALYTICAL,
575 ]
576 }
577
578 pub const DOC_SECTION_AGGREGATE: DocSection = DocSection {
579 include: true,
580 label: "Aggregate Functions",
581 description: Some("All aggregate functions can be used as window functions."),
582 };
583
584 pub const DOC_SECTION_RANKING: DocSection = DocSection {
585 include: true,
586 label: "Ranking Functions",
587 description: None,
588 };
589
590 pub const DOC_SECTION_ANALYTICAL: DocSection = DocSection {
591 include: true,
592 label: "Analytical Functions",
593 description: None,
594 };
595}
596
597#[cfg(test)]
598mod test {
599 use crate::{PartitionEvaluator, WindowUDF, WindowUDFImpl};
600 use arrow::datatypes::{DataType, FieldRef};
601 use datafusion_common::Result;
602 use datafusion_expr_common::signature::{Signature, Volatility};
603 use datafusion_functions_window_common::field::WindowUDFFieldArgs;
604 use datafusion_functions_window_common::partition::PartitionEvaluatorArgs;
605 use std::any::Any;
606 use std::cmp::Ordering;
607
608 #[derive(Debug, Clone)]
609 struct AWindowUDF {
610 signature: Signature,
611 }
612
613 impl AWindowUDF {
614 fn new() -> Self {
615 Self {
616 signature: Signature::uniform(
617 1,
618 vec![DataType::Int32],
619 Volatility::Immutable,
620 ),
621 }
622 }
623 }
624
625 /// Implement the WindowUDFImpl trait for AddOne
626 impl WindowUDFImpl for AWindowUDF {
627 fn as_any(&self) -> &dyn Any {
628 self
629 }
630 fn name(&self) -> &str {
631 "a"
632 }
633 fn signature(&self) -> &Signature {
634 &self.signature
635 }
636 fn partition_evaluator(
637 &self,
638 _partition_evaluator_args: PartitionEvaluatorArgs,
639 ) -> Result<Box<dyn PartitionEvaluator>> {
640 unimplemented!()
641 }
642 fn field(&self, _field_args: WindowUDFFieldArgs) -> Result<FieldRef> {
643 unimplemented!()
644 }
645 }
646
647 #[derive(Debug, Clone)]
648 struct BWindowUDF {
649 signature: Signature,
650 }
651
652 impl BWindowUDF {
653 fn new() -> Self {
654 Self {
655 signature: Signature::uniform(
656 1,
657 vec![DataType::Int32],
658 Volatility::Immutable,
659 ),
660 }
661 }
662 }
663
664 /// Implement the WindowUDFImpl trait for AddOne
665 impl WindowUDFImpl for BWindowUDF {
666 fn as_any(&self) -> &dyn Any {
667 self
668 }
669 fn name(&self) -> &str {
670 "b"
671 }
672 fn signature(&self) -> &Signature {
673 &self.signature
674 }
675 fn partition_evaluator(
676 &self,
677 _partition_evaluator_args: PartitionEvaluatorArgs,
678 ) -> Result<Box<dyn PartitionEvaluator>> {
679 unimplemented!()
680 }
681 fn field(&self, _field_args: WindowUDFFieldArgs) -> Result<FieldRef> {
682 unimplemented!()
683 }
684 }
685
686 #[test]
687 fn test_partial_ord() {
688 let a1 = WindowUDF::from(AWindowUDF::new());
689 let a2 = WindowUDF::from(AWindowUDF::new());
690 assert_eq!(a1.partial_cmp(&a2), Some(Ordering::Equal));
691
692 let b1 = WindowUDF::from(BWindowUDF::new());
693 assert!(a1 < b1);
694 assert!(!(a1 == b1));
695 }
696}