For experimentation by @the-sofi-uwu.
I also have an efficient number parser in LeanSAT that I am planning to
upstream after we have sufficiently bikeshed this change.
This modification improves the performance of the example in issue
#4861. It no longer times out but is still expensive.
Here is the analysis of the performance issue: Given `(x : Int)`, to
elaborate `x ^ 1`, a few default instances have to be tried.
First, the homogeneous instance is tried and fails since `Int` does not
implement `Pow Int`. Then, the `NatPow` instance is tried, and it also
fails. The same process is performed for each term of the form `p ^ 1`.
There are seveal of them at #4861. After all of these fail, the lower
priority default instance for numerals is tried, and `x ^ 1` becomes `x
^ (1 : Nat)`. Then, `HPow Int Nat Int` can be applied, and the
elaboration succeeds. However, this process has to be repeated for every
single term of the form `p ^ 1`. The elaborator tries all homogeneous
`HPow` and `NatPow` instances for all `p ^ 1` terms before trying the
lower priority default instance `OfNat`.
This commit ensures `Int` has a `NatPow` instance instead of `HPow Int
Nat Int`. This change shortcuts the process, but it still first tries
the homogeneous `HPow` instance, fails, and then tries `NatPow`. The
elaboration can be made much more efficient by writing `p ^ (1 : Nat)`.
This allows bitblasting `BitVec.replicate`.
I changed the definition of `BitVec.replicate` to use `BitVec.cast` in
order to make the proof smoother, since it's an easier time simplifying
away terms with `BitVec.cast`.
---------
Co-authored-by: Tobias Grosser <tobias@grosser.es>
This is part 2 of 2 of #4801 (which closes#4654). That PR was split in
two to allow a stage0 update between declaring the `usize` functions and
using them where they are needed.
Add efficient `usize` functions for `Array`, `ByteArray`, `FloatArray`.
This is part 1 of 2 since there is a need to update stage0 between the
two parts. (See discussion below.)
Closes#4654
Upstreaming of basic material on `List.Pairwise` and `List.Nodup`. More
complete API to follow later, this is just a first approximation of what
leansat will need.
I'll update `list_simp.lean` (simp normal form testing) and add missing
lemmas in follow-up PRs.
This just upstreams the material, and reorders the lemmas to match the
other sections.
This PR refactors the 'ext' attribute and implements the following
features:
- The 'local' and 'scoped' attribute kinds are now usable.
- The attribute realizes the `ext`/`ext_iff` lemmas when they do not
already exist, rather than always generating them. This is useful in
conjunction with `@[local ext]`.
- Adding `@[ext]` to a user ext lemma now realizes an `ext_iff` lemma as
well; formerly this was only for structures. The name of the generated
`ext_iff` theorem for a user `ext` theorem named `A.B.myext` is
`A.B.myext_iff`. If this process leads to an error, the user can write
`@[ext (iff := false)]` to disable this feature.
Breaking changes:
- Now the "x" and "y" term arguments to the realized `ext` and `ext_iff`
lemmas are implicit.
- Now the realized `ext` and `ext_iff` lemmas are protected.
Bootstrapping notes:
- There are a few `ext_iff` lemmas to address after the next stage0
update.
Closes https://github.com/leanprover/lean4/issues/3643
Suggested by Floris [on
Zulip](https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/.22Missing.20Tactics.22.20list/near/446267660).
### Preliminary PRs:
- [x] #4597
- [x] #4599
- [x] #4600
- [x] #4602
- [x] #4603
- [x] #4604
- [x] #4605
- [x] #4607
- [x] #4627
- [x] #4629
### Quick overview over API/naming changes compared to `Lean.HashMap`
and `Batteries.HashMap`:
#### Lean
* `find?` -> `get?`/`getElem?`
* `find!` -> `get!`/`gtetElem!`
* `findD` -> `getD`
* `findEntry?` -> not implemented for now
* `insert'` -> `containsThenInsert` (order reversed in result)
* `insertIfNew` -> `getThenInsertIfNew?` (order reversed in result)
* `numBuckets` -> `Internal.numBuckets`
* `ofListWith` -> not implemented for now
* `Array.groupByKey` -> not implemented for now
* `merge` -> not implemented for now, but you can use `insertMany`
#### Batteries
* `modify` -> not implemented for now
* `mergeWith` -> not implemented for now
* `mergeWithM` -> not implemented for now
Split from #4583
There are two open questions, opinions appreciated:
- Should this material be part of `Init` or `Std`?
- Should the typeclasses be in the `Std` namespace?
