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docs: Correct terminology in std::cmp #103046
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Hey! It looks like you've submitted a new PR for the library teams! If this PR contains changes to any Examples of
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library/core/src/cmp.rs
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//! equivalence relations, respectively, and they overload the `==` and `!=` | ||
//! operators. |
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//! equivalence relations, respectively, and they overload the `==` and `!=` | |
//! operators. | |
//! equivalence relations, respectively. Implementing these traits for types | |
//! provides the `==` and `!=` operators for those types. |
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I have stumbled upon the wording "overloading" too, but I noticed it's also used for Ord
and PartialOrd
. Should I remove the term "overloading" completely?
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@JanBeh Not in this PR, but since you're changing this text anyway, I think we should take the opportunity to make this clearer.
I think the jargon "operator overloading" is less clear in this context than just "providing" (or "implementing") an operator.
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Done, but notice that "overloading an operator" is also used in the same list (for <
, <=
, >
, and >=
). If you want I can fix it as well, or leave as is.
@rustbot author |
I made a small fix in a7a048f1ed1e91d6dad6b69396e16a5d41d8e240 to use the wording "distinct" instead of "different" (which is the correct mathematical term, I believe). I didn't incorporate the other edits yet, see my comments/questions on the review. |
@rustbot label -S-waiting-on-author +S-waiting-on-review |
I think the distinction drawn between "weak ordering" and "total ordering" is wishy-washy outside of its mathematical context, and it's counterproductive to appeal to language like "distinct (mathematical) objects". What is a distinct mathematical object? Are two I take the position that Similarly, in the poker example you could argue that two poker hands with the same value are the same hand, with different representations - the exact representation chosen not mattering for the purpose of the program being written, in the same way that the exact location of From this perspective, trying to distinguish between a weak order and a total order on the grounds of reflexivity makes no sense. The relation is what defines the distinct-ness of members of the set; to argue that one |
An object that isn't the same as another object. The difficulty is that
are not the same. However,
That depends on definition/semantics.
If their value is equal, they are the same (indistinguishable). We can implement a type where two values See also @steffahn's comment here.
Note that the PR does not distinguish between a weak order and a total order based on reflexivity. Reflexivity (which is required by |
I hereby define "sameness", mathematically, as "returning
I declare that they are the same. Therefore, there is no difficulty.
In my interpretation,
"distinguishable" is a curious term; let's come back to this.
Precisely. They are distinct for some purposes but not others. Which puts your notion of "distinct (mathematical) object" on shaky ground.
They are not indistinguishable: I can distinguish between two
As I mentioned above, The problem with this extreme position is that it isn't useful to think of all I think where you are going wrong is in thinking "types are sets, and objects are members". I would argue that types represent sets, and objects represent members. It is fine to have multiple objects that represent the same member of the set, in a mathematically abstract sense. I could argue, mathematically, all poker hands with the same value but different cards represent the same member of the set |
You can make these definitions/declarations, but for the sake of a factual discussion, do you know of any notion in the Rust documentation that The Rust reference defines the In short: Moreover, I would claim that Moreover, I don't see any requirement in the docs which demand that I think you could be right if |
Mathematical equality of the represented objects is not the same as indistinguishability of their Rust representations. For example, two different I think it is correct to say that Now I consider |
I would say it isn't clear (or well-defined) whether "mathematical equality" is the same as "indistingushability" in the context of programming. It's a question of semantics, If and only if But let's look (again) at
If that was true, then Hence I don't think
The term "partial equality" has been removed by this PR. It is not a problem that there are different partial equivalence relations. Implementing |
The semantics of The later demand that it be an equivalence relation (on representations) exists because user types don't specify their intended mathematical interpretation in code. Any equivalence relation defines a mathematical interpretation. Any equivalence relation R on a set (of representations) creates another set (the quotient set of equivalence classes) of "mathematical interpretations" such that R(x, y) <=> Interpretation(x) = Interpretation(y). |
I thought so at first too, but the same phrase is used in Note that this PR removes that phrase (both in |
My problem with this is that it doesn't say which equivalence relation. There is no default one for integers! It sounds like it just implements an arbitrary one for For orders it's a bit different because when you say "the total order on integers" people generally know what you're talking about because there is a default order on integers. If you say "the equivalence relation on integers" to me, rather than "equality", I would be puzzled because I don't know which equivalence relation you're talking about, and if you meant "equality" you would just say that. |
I understand your concerns, but adding such a demand (for the general case) would go beyond the scope of this PR (and arguably be a breaking change). Moreover, I don't think it's necessary to restrict Regarding
That is pretty subjective. The situation for |
I agree. I didn't suggest there is. This doesn't contradict the idea that For instance, in poker, you can implement |
Do you mean mathematical equality or the equality comparison using the equality operator? This ambiguity is one of the things that this PR aims to solve.
According to my understanding, there is only one form of equality in mathematics (opposed to equivalence relations, of which there can exist many). The only way to
would be to require the user/programmer to define mathematical equality in a particular way (if |
Yes, for types that represent mathematical objects.
Nobody "defines mathematical equality". In mathematics, everybody knows already what equality means, nobody redefines equality. I already gave an example with poker hands where
It is the other way round. You first think about what mathematical objects your type represents, and then you implement |
I agree that you can proceed like that. But this means that if you implement Of course that's possible, but I doubt it's useful. An advantage would be that The problem with demanding "mathematical equality" in order to be allowed to implement Given that @tczajka I would like to add that this PR doesn't forbid the programmer to use mathematical models and the The new section in
This is just a consequence of the current status-quo, which I don't aim to change. |
Considering alternatives to this PR (in regard to 1. Leave documentation as isThis would mean that terms like "total equality" and "partial equality" are used, which aren't well-defined. Moreover, the use of the phrase "equality comparison" is ambiguous. That phrase is used for
is wrong. I therefore see a need to update the docs in that matter. 2. Clarify that
|
Ooops, I hope replacing "this" with "this trait" was alright for you. (It seemed to be approved instantly after I did the "bors r=you" thing. |
Yeah, that's fine. |
Please squash the fixup commits. @bors r- |
Some clarifications regarding used (mathematical) terminology: * Avoid using the terms "total equality" and "partial equality" in favor of "equivalence relation" and "partial equivalence relation", which are well-defined and unambiguous. * Clarify that `Ordering` is an ordering between two values (and not an order in the mathematical sense). * Avoid saying that `PartialEq` and `Eq` are "equality comparisons" because the terminology "equality comparison" could be misleading: it's possible to implement `PartialEq` and `Eq` for other (partial) equivalence relations, in particular for relations where `a == b` for some `a` and `b` even when `a` and `b` are not the same value. * Added a section "Strict and non-strict partial orders" to document that the `<=` and `>=` operators do not correspond to non-strict partial orders. * Corrected section "Corollaries" in documenation of Ord in regard to `<` only describing a strict total order in cases where `==` conforms to mathematical equality. Made documentation easier to understand: * Explicitly state at the beginning of `PartialEq`'s documentation comment that implementing the trait will provide the `==` and `!=` operators. * Added an easier to understand rule when to implement `Eq` in addition to `PartialEq`: "if it’s guaranteed that `PartialEq::eq(a, a)` always returns `true`." * Explicitly mention in documentation of `Eq` that the properties "symmetric" and "transitive" are already required by `PartialEq`.
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No, seems good to go, thanks. :) |
@bors rollup |
☀️ Test successful - checks-actions |
Finished benchmarking commit (3bcad65): comparison URL. Overall result: ✅ improvements - no action needed@rustbot label: -perf-regression Instruction countThis is a highly reliable metric that was used to determine the overall result at the top of this comment.
Max RSS (memory usage)ResultsThis is a less reliable metric that may be of interest but was not used to determine the overall result at the top of this comment.
CyclesThis benchmark run did not return any relevant results for this metric. Binary sizeThis benchmark run did not return any relevant results for this metric. Bootstrap: 623.65s -> 621.776s (-0.30%) |
23: Fix divergence from upstream `master` r=tshepang a=pvdrz * rust-lang/rust#116483 * rust-lang/rust#116475 * rust-lang/rust#116329 * rust-lang/rust#116198 * rust-lang/rust#115588 * rust-lang/rust#115522 * rust-lang/rust#115454 * rust-lang/rust#111595 * rust-lang/rust#116018 * rust-lang/rust#116472 * rust-lang/rust#116469 * rust-lang/rust#116421 * rust-lang/rust#116463 * rust-lang/rust#101150 * rust-lang/rust#116269 * rust-lang/rust#116417 * rust-lang/rust#116455 * rust-lang/rust#116452 * rust-lang/rust#116428 * rust-lang/rust#116415 * rust-lang/rust#116288 * rust-lang/rust#116220 * rust-lang/rust#103046 * rust-lang/rust#114042 * rust-lang/rust#104153 * rust-lang/rust#116427 * rust-lang/rust#116443 * rust-lang/rust#116432 * rust-lang/rust#116431 * rust-lang/rust#116429 * rust-lang/rust#116296 * rust-lang/rust#116223 * rust-lang/rust#116273 * rust-lang/rust#116184 * rust-lang/rust#116370 * rust-lang/rust#114417 * rust-lang/rust#115200 * rust-lang/rust#116413 * rust-lang/rust#116381 * rust-lang/rust#116360 * rust-lang/rust#116353 * rust-lang/rust#116406 * rust-lang/rust#116408 * rust-lang/rust#116395 * rust-lang/rust#116393 * rust-lang/rust#116388 * rust-lang/rust#116365 * rust-lang/rust#116363 * rust-lang/rust#116146 * rust-lang/rust#115961 * rust-lang/rust#116386 * rust-lang/rust#116367 * rust-lang/rust#105394 * rust-lang/rust#115301 * rust-lang/rust#116384 * rust-lang/rust#116379 * rust-lang/rust#116328 * rust-lang/rust#116282 * rust-lang/rust#116261 * rust-lang/rust#114654 * rust-lang/rust#116376 * rust-lang/rust#116374 * rust-lang/rust#116371 * rust-lang/rust#116358 * rust-lang/rust#116210 * rust-lang/rust#115863 * rust-lang/rust#115025 * rust-lang/rust#116372 * rust-lang/rust#116361 * rust-lang/rust#116355 * rust-lang/rust#116351 * rust-lang/rust#116158 * rust-lang/rust#115726 * rust-lang/rust#113053 * rust-lang/rust#116083 * rust-lang/rust#102099 * rust-lang/rust#116356 * rust-lang/rust#116350 * rust-lang/rust#116349 * rust-lang/rust#116289 * rust-lang/rust#114454 * rust-lang/rust#114453 * rust-lang/rust#116331 * rust-lang/rust#116346 * rust-lang/rust#116340 * rust-lang/rust#116326 * rust-lang/rust#116313 * rust-lang/rust#116276 * rust-lang/rust#115898 * rust-lang/rust#116325 * rust-lang/rust#116317 * rust-lang/rust#116207 * rust-lang/rust#116281 * rust-lang/rust#116304 * rust-lang/rust#116259 * rust-lang/rust#116228 * rust-lang/rust#116224 * rust-lang/rust#115554 * rust-lang/rust#116311 * rust-lang/rust#116299 * rust-lang/rust#116295 * rust-lang/rust#116292 * rust-lang/rust#116307 * rust-lang/rust#115670 * rust-lang/rust#116225 * rust-lang/rust#116302 * rust-lang/rust#116108 * rust-lang/rust#116160 * rust-lang/rust#116157 * rust-lang/rust#116127 * rust-lang/rust#116286 * rust-lang/rust#116254 * rust-lang/rust#116195 * rust-lang/rust#116280 * rust-lang/rust#115933 * rust-lang/rust#115546 * rust-lang/rust#115368 * rust-lang/rust#116275 * rust-lang/rust#116263 * rust-lang/rust#116241 * rust-lang/rust#116216 * rust-lang/rust#116030 * rust-lang/rust#116024 * rust-lang/rust#112123 * rust-lang/rust#113301 * rust-lang/rust#113797 * rust-lang/rust#115759 * rust-lang/rust#116260 * rust-lang/rust#116253 * rust-lang/rust#116245 * rust-lang/rust#116239 * rust-lang/rust#116234 * rust-lang/rust#116231 * rust-lang/rust#116201 * rust-lang/rust#116133 * rust-lang/rust#116176 * rust-lang/rust#116089 * rust-lang/rust#115986 Co-authored-by: ouz-a <ouz.agz@gmail.com> Co-authored-by: bors <bors@rust-lang.org> Co-authored-by: Samuel Thibault <samuel.thibault@ens-lyon.org> Co-authored-by: linkmauve <linkmauve@linkmauve.fr> Co-authored-by: onur-ozkan <work@onurozkan.dev> Co-authored-by: asquared31415 <34665709+asquared31415@users.noreply.github.com> Co-authored-by: Emmanuel Ferdman <emmanuelferdman@gmail.com> Co-authored-by: Ralf Jung <post@ralfj.de> Co-authored-by: Nadrieril <nadrieril+git@gmail.com> Co-authored-by: Raekye <Raekye@users.noreply.github.com> Co-authored-by: Mark Rousskov <mark.simulacrum@gmail.com> Co-authored-by: Zalathar <Zalathar@users.noreply.github.com>
23: Fix divergence from upstream `master` r=pietroalbini a=pvdrz * rust-lang/rust#116483 * rust-lang/rust#116475 * rust-lang/rust#116329 * rust-lang/rust#116198 * rust-lang/rust#115588 * rust-lang/rust#115522 * rust-lang/rust#115454 * rust-lang/rust#111595 * rust-lang/rust#116018 * rust-lang/rust#116472 * rust-lang/rust#116469 * rust-lang/rust#116421 * rust-lang/rust#116463 * rust-lang/rust#101150 * rust-lang/rust#116269 * rust-lang/rust#116417 * rust-lang/rust#116455 * rust-lang/rust#116452 * rust-lang/rust#116428 * rust-lang/rust#116415 * rust-lang/rust#116288 * rust-lang/rust#116220 * rust-lang/rust#103046 * rust-lang/rust#114042 * rust-lang/rust#104153 * rust-lang/rust#116427 * rust-lang/rust#116443 * rust-lang/rust#116432 * rust-lang/rust#116431 * rust-lang/rust#116429 * rust-lang/rust#116296 * rust-lang/rust#116223 * rust-lang/rust#116273 * rust-lang/rust#116184 * rust-lang/rust#116370 * rust-lang/rust#114417 * rust-lang/rust#115200 * rust-lang/rust#116413 * rust-lang/rust#116381 * rust-lang/rust#116360 * rust-lang/rust#116353 * rust-lang/rust#116406 * rust-lang/rust#116408 * rust-lang/rust#116395 * rust-lang/rust#116393 * rust-lang/rust#116388 * rust-lang/rust#116365 * rust-lang/rust#116363 * rust-lang/rust#116146 * rust-lang/rust#115961 * rust-lang/rust#116386 * rust-lang/rust#116367 * rust-lang/rust#105394 * rust-lang/rust#115301 * rust-lang/rust#116384 * rust-lang/rust#116379 * rust-lang/rust#116328 * rust-lang/rust#116282 * rust-lang/rust#116261 * rust-lang/rust#114654 * rust-lang/rust#116376 * rust-lang/rust#116374 * rust-lang/rust#116371 * rust-lang/rust#116358 * rust-lang/rust#116210 * rust-lang/rust#115863 * rust-lang/rust#115025 * rust-lang/rust#116372 * rust-lang/rust#116361 * rust-lang/rust#116355 * rust-lang/rust#116351 * rust-lang/rust#116158 * rust-lang/rust#115726 * rust-lang/rust#113053 * rust-lang/rust#116083 * rust-lang/rust#102099 * rust-lang/rust#116356 * rust-lang/rust#116350 * rust-lang/rust#116349 * rust-lang/rust#116289 * rust-lang/rust#114454 * rust-lang/rust#114453 * rust-lang/rust#116331 * rust-lang/rust#116346 * rust-lang/rust#116340 * rust-lang/rust#116326 * rust-lang/rust#116313 * rust-lang/rust#116276 * rust-lang/rust#115898 * rust-lang/rust#116325 * rust-lang/rust#116317 * rust-lang/rust#116207 * rust-lang/rust#116281 * rust-lang/rust#116304 * rust-lang/rust#116259 * rust-lang/rust#116228 * rust-lang/rust#116224 * rust-lang/rust#115554 * rust-lang/rust#116311 * rust-lang/rust#116299 * rust-lang/rust#116295 * rust-lang/rust#116292 * rust-lang/rust#116307 * rust-lang/rust#115670 * rust-lang/rust#116225 * rust-lang/rust#116302 * rust-lang/rust#116108 * rust-lang/rust#116160 * rust-lang/rust#116157 * rust-lang/rust#116127 * rust-lang/rust#116286 * rust-lang/rust#116254 * rust-lang/rust#116195 * rust-lang/rust#116280 * rust-lang/rust#115933 * rust-lang/rust#115546 * rust-lang/rust#115368 * rust-lang/rust#116275 * rust-lang/rust#116263 * rust-lang/rust#116241 * rust-lang/rust#116216 * rust-lang/rust#116030 * rust-lang/rust#116024 * rust-lang/rust#112123 * rust-lang/rust#113301 * rust-lang/rust#113797 * rust-lang/rust#115759 * rust-lang/rust#116260 * rust-lang/rust#116253 * rust-lang/rust#116245 * rust-lang/rust#116239 * rust-lang/rust#116234 * rust-lang/rust#116231 * rust-lang/rust#116201 * rust-lang/rust#116133 * rust-lang/rust#116176 * rust-lang/rust#116089 * rust-lang/rust#115986 Co-authored-by: bors <bors@rust-lang.org> Co-authored-by: ouz-a <ouz.agz@gmail.com> Co-authored-by: Samuel Thibault <samuel.thibault@ens-lyon.org> Co-authored-by: linkmauve <linkmauve@linkmauve.fr> Co-authored-by: onur-ozkan <work@onurozkan.dev> Co-authored-by: asquared31415 <34665709+asquared31415@users.noreply.github.com> Co-authored-by: Emmanuel Ferdman <emmanuelferdman@gmail.com> Co-authored-by: Ralf Jung <post@ralfj.de> Co-authored-by: Nadrieril <nadrieril+git@gmail.com> Co-authored-by: Raekye <Raekye@users.noreply.github.com> Co-authored-by: Mark Rousskov <mark.simulacrum@gmail.com> Co-authored-by: Zalathar <Zalathar@users.noreply.github.com>
23: Fix divergence from upstream `master` r=Dajamante a=pvdrz * rust-lang/rust#116483 * rust-lang/rust#116475 * rust-lang/rust#116329 * rust-lang/rust#116198 * rust-lang/rust#115588 * rust-lang/rust#115522 * rust-lang/rust#115454 * rust-lang/rust#111595 * rust-lang/rust#116018 * rust-lang/rust#116472 * rust-lang/rust#116469 * rust-lang/rust#116421 * rust-lang/rust#116463 * rust-lang/rust#101150 * rust-lang/rust#116269 * rust-lang/rust#116417 * rust-lang/rust#116455 * rust-lang/rust#116452 * rust-lang/rust#116428 * rust-lang/rust#116415 * rust-lang/rust#116288 * rust-lang/rust#116220 * rust-lang/rust#103046 * rust-lang/rust#114042 * rust-lang/rust#104153 * rust-lang/rust#116427 * rust-lang/rust#116443 * rust-lang/rust#116432 * rust-lang/rust#116431 * rust-lang/rust#116429 * rust-lang/rust#116296 * rust-lang/rust#116223 * rust-lang/rust#116273 * rust-lang/rust#116184 * rust-lang/rust#116370 * rust-lang/rust#114417 * rust-lang/rust#115200 * rust-lang/rust#116413 * rust-lang/rust#116381 * rust-lang/rust#116360 * rust-lang/rust#116353 * rust-lang/rust#116406 * rust-lang/rust#116408 * rust-lang/rust#116395 * rust-lang/rust#116393 * rust-lang/rust#116388 * rust-lang/rust#116365 * rust-lang/rust#116363 * rust-lang/rust#116146 * rust-lang/rust#115961 * rust-lang/rust#116386 * rust-lang/rust#116367 * rust-lang/rust#105394 * rust-lang/rust#115301 * rust-lang/rust#116384 * rust-lang/rust#116379 * rust-lang/rust#116328 * rust-lang/rust#116282 * rust-lang/rust#116261 * rust-lang/rust#114654 * rust-lang/rust#116376 * rust-lang/rust#116374 * rust-lang/rust#116371 * rust-lang/rust#116358 * rust-lang/rust#116210 * rust-lang/rust#115863 * rust-lang/rust#115025 * rust-lang/rust#116372 * rust-lang/rust#116361 * rust-lang/rust#116355 * rust-lang/rust#116351 * rust-lang/rust#116158 * rust-lang/rust#115726 * rust-lang/rust#113053 * rust-lang/rust#116083 * rust-lang/rust#102099 * rust-lang/rust#116356 * rust-lang/rust#116350 * rust-lang/rust#116349 * rust-lang/rust#116289 * rust-lang/rust#114454 * rust-lang/rust#114453 * rust-lang/rust#116331 * rust-lang/rust#116346 * rust-lang/rust#116340 * rust-lang/rust#116326 * rust-lang/rust#116313 * rust-lang/rust#116276 * rust-lang/rust#115898 * rust-lang/rust#116325 * rust-lang/rust#116317 * rust-lang/rust#116207 * rust-lang/rust#116281 * rust-lang/rust#116304 * rust-lang/rust#116259 * rust-lang/rust#116228 * rust-lang/rust#116224 * rust-lang/rust#115554 * rust-lang/rust#116311 * rust-lang/rust#116299 * rust-lang/rust#116295 * rust-lang/rust#116292 * rust-lang/rust#116307 * rust-lang/rust#115670 * rust-lang/rust#116225 * rust-lang/rust#116302 * rust-lang/rust#116108 * rust-lang/rust#116160 * rust-lang/rust#116157 * rust-lang/rust#116127 * rust-lang/rust#116286 * rust-lang/rust#116254 * rust-lang/rust#116195 * rust-lang/rust#116280 * rust-lang/rust#115933 * rust-lang/rust#115546 * rust-lang/rust#115368 * rust-lang/rust#116275 * rust-lang/rust#116263 * rust-lang/rust#116241 * rust-lang/rust#116216 * rust-lang/rust#116030 * rust-lang/rust#116024 * rust-lang/rust#112123 * rust-lang/rust#113301 * rust-lang/rust#113797 * rust-lang/rust#115759 * rust-lang/rust#116260 * rust-lang/rust#116253 * rust-lang/rust#116245 * rust-lang/rust#116239 * rust-lang/rust#116234 * rust-lang/rust#116231 * rust-lang/rust#116201 * rust-lang/rust#116133 * rust-lang/rust#116176 * rust-lang/rust#116089 * rust-lang/rust#115986 35: Automated pull from `rust-lang/libc` r=pietroalbini a=github-actions[bot] This PR pulls the following changes from the [`rust-lang/libc`](https://github.com/rust-lang/libc) repository: * rust-lang/libc#3335 * rust-lang/libc#3373 * rust-lang/libc#3360 * rust-lang/libc#3374 * rust-lang/libc#3375 * rust-lang/libc#3376 * rust-lang/libc#3377 Co-authored-by: ouz-a <ouz.agz@gmail.com> Co-authored-by: Samuel Thibault <samuel.thibault@ens-lyon.org> Co-authored-by: bors <bors@rust-lang.org> Co-authored-by: linkmauve <linkmauve@linkmauve.fr> Co-authored-by: onur-ozkan <work@onurozkan.dev> Co-authored-by: asquared31415 <34665709+asquared31415@users.noreply.github.com> Co-authored-by: Emmanuel Ferdman <emmanuelferdman@gmail.com> Co-authored-by: Ralf Jung <post@ralfj.de> Co-authored-by: Nadrieril <nadrieril+git@gmail.com> Co-authored-by: Raekye <Raekye@users.noreply.github.com> Co-authored-by: Mark Rousskov <mark.simulacrum@gmail.com> Co-authored-by: Zalathar <Zalathar@users.noreply.github.com> Co-authored-by: Nikolay Arhipov <nikolajs.arhipovs@gmail.com> Co-authored-by: Brian Cain <bcain@quicinc.com> Co-authored-by: Steve Lau <stevelauc@outlook.com> Co-authored-by: David CARLIER <devnexen@gmail.com> Co-authored-by: Louis Dupré Bertoni <louisdb@lespetitspedestres.org> Co-authored-by: Taiki Endo <te316e89@gmail.com> Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com>
Update Rust toolchain from nightly-2023-10-05 to nightly-2023-10-06 without any other source changes. This is an automatically generated pull request. If any of the CI checks fail, manual intervention is required. In such a case, review the changes at https://github.com/rust-lang/rust from rust-lang@2bbb619 up to rust-lang@cae0791. The log for this commit range is: rust-lang@cae0791da4 Auto merge of rust-lang#116417 - ouz-a:trait_type_detective, r=compiler-errors rust-lang@e30d27be00 remove is global hack rust-lang@cdca82c2c8 Auto merge of rust-lang#116455 - matthiaskrgr:rollup-p226a5u, r=matthiaskrgr rust-lang@76d0b794cb Rollup merge of rust-lang#116452 - cjgillot:noassert-erased, r=oli-obk rust-lang@c1c5ab717e Rollup merge of rust-lang#116428 - Alexendoo:note-duplicate-diagnostics, r=compiler-errors,estebank rust-lang@08cc7428d9 Rollup merge of rust-lang#116415 - ouz-a:move_subtyper, r=oli-obk rust-lang@b301bd4220 Rollup merge of rust-lang#116288 - ouz-a:smir_spans, r=spastorino rust-lang@864e5d8d94 Rollup merge of rust-lang#116220 - llogiq:stabilize-option-as-slice, r=BurntSushi rust-lang@3088c4b046 move subtyper change reveal_all rust-lang@14c846cb05 Do not assert that hidden types don't have erased regions. rust-lang@3bcad65fbf Auto merge of rust-lang#103046 - JanBeh:PR_clarify_cmp_terminology, r=workingjubilee rust-lang@cf9fd95b1c Auto merge of rust-lang#114042 - liushuyu:ubuntu/i586-fpmath, r=workingjubilee rust-lang@86b031b734 docs: Correct terminology in std::cmp rust-lang@90f3a6f920 Auto merge of rust-lang#104153 - tspiteri:doc-float-constants, r=workingjubilee rust-lang@5c3a0e932b Auto merge of rust-lang#116427 - cjgillot:no-internal, r=oli-obk rust-lang@a49138e46e impl stable for kinds rust-lang@a79567b01c add span to statements rust-lang@e293927016 Auto merge of rust-lang#116443 - workingjubilee:rollup-r9mh13f, r=workingjubilee rust-lang@4a14a80605 Rollup merge of rust-lang#116432 - notriddle:master, r=fmease rust-lang@d7b02c3d40 Rollup merge of rust-lang#116431 - estebank:issue-80476, r=compiler-errors rust-lang@a9a389cf44 Rollup merge of rust-lang#116429 - fmease:clean-up-struct-field-suggs, r=compiler-errors rust-lang@cfce3a919d Rollup merge of rust-lang#116296 - compiler-errors:default-return, r=estebank rust-lang@ea3454eabb Rollup merge of rust-lang#116223 - catandcoder:master, r=cjgillot rust-lang@5236c8e1fa Auto merge of rust-lang#116273 - compiler-errors:refine2, r=tmandry rust-lang@b781645332 Auto merge of rust-lang#116184 - compiler-errors:afit-lint, r=tmandry rust-lang@5453a9f34d Add a note to duplicate diagnostics rust-lang@afe67fa2ef Auto merge of rust-lang#116370 - nnethercote:more-arena-stuff, r=cjgillot rust-lang@2f5249019e Apply suggestions from code review rust-lang@dd5f26c42d Fix spans for comments in rustfmt rust-lang@1f079cfb44 Point to closure return instead of output if defaulted rust-lang@89b14ae212 Fix clippy rust-lang@137b6d0b01 Point to where missing return type should go rust-lang@a46ccd8d3f Add URL to test case issues rust-lang@9266270ef5 Rename issue-\d+.rs tests to have meaningful names rust-lang@041e54bd92 Tweak wording of E0562 rust-lang@867cc41b5b clean up struct field suggestions rust-lang@a198aff4a4 Add `crate_name` to test so that it can be renamed rust-lang@e63d19c4dd Remove mir::LocalDecl::internal. rust-lang@f44d116e1f Fix misuses of a vs an rust-lang@a2051dd578 Optimize some `alloc_from_iter` call sites. rust-lang@816383c60d Remove the `TypedArena::alloc_from_iter` specialization. rust-lang@c373d206cd Address review nits rust-lang@90dfa24415 Only reachable traits rust-lang@afea0b4eab Fill in prose to describe the `async_fn_in_trait` lint rust-lang@28d58f6524 Bless tests rust-lang@ec79720c1e Add async_fn_in_trait lint rust-lang@999a354a81 add span to terminator rust-lang@9130484db9 create localdecl and add span to it rust-lang@06d9602d33 Only trigger refine lint on reachable traits rust-lang@702da3b89c stabilize `Option::as_`(`mut_`)`slice` rust-lang@40a52cf55c core library: Disable fpmath tests for i386 ... rust-lang@c953b6c014 doc: expand description for f32 and f64 associated constants Co-authored-by: celinval <celinval@users.noreply.github.com>
This PR is the result of some discussions on URLO:
std::cmp
and mathematical terminologyOrd
orPartialOrd
?Arguably, the documentation currently isn't very precise regarding mathematical terminology. This can lead to misunderstandings of what
PartialEq
,Eq
,PartialOrd
, andOrd
actually do.While I believe this PR doesn't give any new API guarantees, it expliclitly mentions that
PartialEq::eq(a, b)
may returntrue
for two distinct valuesa
andb
(i.e. wherea
andb
are not equal in the mathematical sense). This leads to the consequence thatOrd
may describe a weak ordering instead of a total ordering.In either case, I believe this PR should be thoroughly reviewed, ideally by someone with mathematical background to make sure the terminology is correct now, and also to ensure that no unwanted new API guarantees are made.
In particular, the following problems are addressed:
Ordering
is an ordering between two values (and not an order in the mathematical sense).PartialEq
andEq
are "equality comparisons" because the terminology "equality comparison" could be misleading: it's possible to implementPartialEq
andEq
for other (partial) equivalence relations, in particular for relations wherea == b
for somea
andb
even whena
andb
are not the same value.<=
and>=
operators do not correspond to non-strict partial orders.Ord
in regard to<
only describing a strict total order in cases where==
conforms to mathematical equality.Added a section "Weak orders" to explain that(Removed, see comment)Ord
may also describe a weak order or total preorder, depending on howPartialEq::eq
has been implemented.PartialEq
's documentation comment that implementing the trait will provide the==
and!=
operators.Eq
in addition toPartialEq
: "if it’s guaranteed thatPartialEq::eq(a, a)
always returnstrue
."Eq
that the properties "symmetric" and "transitive" are already required byPartialEq
.