mirror of
https://github.com/leanprover/lean4.git
synced 2026-03-17 18:34:06 +00:00
Merge branch 'sofia/async-http-headers' into sofia/async-http-uri
This commit is contained in:
Sofia Rodrigues
6
.gitattributes
vendored
6
.gitattributes
vendored
@@ -5,9 +5,3 @@ stage0/** binary linguist-generated
|
||||
# The following file is often manually edited, so do show it in diffs
|
||||
stage0/src/stdlib_flags.h -binary -linguist-generated
|
||||
doc/std/grove/GroveStdlib/Generated/** linguist-generated
|
||||
# These files should not have line endings translated on Windows, because
|
||||
# it throws off parser tests. Later lines override earlier ones, so the
|
||||
# runner code is still treated as ordinary text.
|
||||
tests/lean/docparse/* eol=lf
|
||||
tests/lean/docparse/*.lean eol=auto
|
||||
tests/lean/docparse/*.sh eol=auto
|
||||
|
||||
19
.github/workflows/ci.yml
vendored
19
.github/workflows/ci.yml
vendored
@@ -166,7 +166,7 @@ jobs:
|
||||
# 0: PRs without special label
|
||||
# 1: PRs with `merge-ci` label, merge queue checks, master commits
|
||||
# 2: nightlies
|
||||
# 3: PRs with `release-ci` label, full releases
|
||||
# 3: PRs with `release-ci` or `lake-ci` label, full releases
|
||||
- name: Set check level
|
||||
id: set-level
|
||||
# We do not use github.event.pull_request.labels.*.name here because
|
||||
@@ -175,6 +175,7 @@ jobs:
|
||||
run: |
|
||||
check_level=0
|
||||
fast=false
|
||||
lake_ci=false
|
||||
|
||||
if [[ -n "${{ steps.set-release.outputs.RELEASE_TAG }}" || -n "${{ steps.set-release-custom.outputs.RELEASE_TAG }}" ]]; then
|
||||
check_level=3
|
||||
@@ -189,13 +190,19 @@ jobs:
|
||||
elif echo "$labels" | grep -q "merge-ci"; then
|
||||
check_level=1
|
||||
fi
|
||||
if echo "$labels" | grep -q "lake-ci"; then
|
||||
lake_ci=true
|
||||
fi
|
||||
if echo "$labels" | grep -q "fast-ci"; then
|
||||
fast=true
|
||||
fi
|
||||
fi
|
||||
|
||||
echo "check-level=$check_level" >> "$GITHUB_OUTPUT"
|
||||
echo "fast=$fast" >> "$GITHUB_OUTPUT"
|
||||
{
|
||||
echo "check-level=$check_level"
|
||||
echo "fast=$fast"
|
||||
echo "lake-ci=$lake_ci"
|
||||
} >> "$GITHUB_OUTPUT"
|
||||
env:
|
||||
GH_TOKEN: ${{ github.token }}
|
||||
|
||||
@@ -206,6 +213,7 @@ jobs:
|
||||
script: |
|
||||
const level = ${{ steps.set-level.outputs.check-level }};
|
||||
const fast = ${{ steps.set-level.outputs.fast }};
|
||||
const lakeCi = "${{ steps.set-level.outputs.lake-ci }}" == "true";
|
||||
console.log(`level: ${level}, fast: ${fast}`);
|
||||
// use large runners where available (original repo)
|
||||
let large = ${{ github.repository == 'leanprover/lean4' }};
|
||||
@@ -379,6 +387,11 @@ jobs:
|
||||
job["CMAKE_OPTIONS"] = (job["CMAKE_OPTIONS"] ? job["CMAKE_OPTIONS"] + " " : "") + "-DUSE_LAKE=OFF";
|
||||
}
|
||||
}
|
||||
if (lakeCi) {
|
||||
for (const job of matrix) {
|
||||
job["CMAKE_OPTIONS"] = (job["CMAKE_OPTIONS"] ? job["CMAKE_OPTIONS"] + " " : "") + "-DLAKE_CI=ON";
|
||||
}
|
||||
}
|
||||
console.log(`matrix:\n${JSON.stringify(matrix, null, 2)}`);
|
||||
matrix = matrix.filter((job) => job["enabled"]);
|
||||
core.setOutput('matrix', matrix.filter((job) => !job["secondary"]));
|
||||
|
||||
8
.github/workflows/labels-from-comments.yml
vendored
8
.github/workflows/labels-from-comments.yml
vendored
@@ -1,5 +1,5 @@
|
||||
# This workflow allows any user to add one of the `awaiting-review`, `awaiting-author`, `WIP`,
|
||||
# `release-ci`, or a `changelog-XXX` label by commenting on the PR or issue.
|
||||
# `release-ci`, `lake-ci`, or a `changelog-XXX` label by commenting on the PR or issue.
|
||||
# If any labels from the set {`awaiting-review`, `awaiting-author`, `WIP`} are added, other labels
|
||||
# from that set are removed automatically at the same time.
|
||||
# Similarly, if any `changelog-XXX` label is added, other `changelog-YYY` labels are removed.
|
||||
@@ -12,7 +12,7 @@ on:
|
||||
|
||||
jobs:
|
||||
update-label:
|
||||
if: github.event.issue.pull_request != null && (contains(github.event.comment.body, 'awaiting-review') || contains(github.event.comment.body, 'awaiting-author') || contains(github.event.comment.body, 'WIP') || contains(github.event.comment.body, 'release-ci') || contains(github.event.comment.body, 'changelog-'))
|
||||
if: github.event.issue.pull_request != null && (contains(github.event.comment.body, 'awaiting-review') || contains(github.event.comment.body, 'awaiting-author') || contains(github.event.comment.body, 'WIP') || contains(github.event.comment.body, 'release-ci') || contains(github.event.comment.body, 'lake-ci') || contains(github.event.comment.body, 'changelog-'))
|
||||
runs-on: ubuntu-latest
|
||||
|
||||
steps:
|
||||
@@ -28,6 +28,7 @@ jobs:
|
||||
const awaitingAuthor = commentLines.includes('awaiting-author');
|
||||
const wip = commentLines.includes('WIP');
|
||||
const releaseCI = commentLines.includes('release-ci');
|
||||
const lakeCI = commentLines.includes('lake-ci');
|
||||
const changelogMatch = commentLines.find(line => line.startsWith('changelog-'));
|
||||
|
||||
if (awaitingReview || awaitingAuthor || wip) {
|
||||
@@ -49,6 +50,9 @@ jobs:
|
||||
if (releaseCI) {
|
||||
await github.rest.issues.addLabels({ owner, repo, issue_number, labels: ['release-ci'] });
|
||||
}
|
||||
if (lakeCI) {
|
||||
await github.rest.issues.addLabels({ owner, repo, issue_number, labels: ['lake-ci'] });
|
||||
}
|
||||
|
||||
if (changelogMatch) {
|
||||
const changelogLabel = changelogMatch.trim();
|
||||
|
||||
2
.github/workflows/restart-on-label.yml
vendored
2
.github/workflows/restart-on-label.yml
vendored
@@ -7,7 +7,7 @@ on:
|
||||
jobs:
|
||||
restart-on-label:
|
||||
runs-on: ubuntu-latest
|
||||
if: contains(github.event.label.name, 'merge-ci') || contains(github.event.label.name, 'release-ci')
|
||||
if: contains(github.event.label.name, 'merge-ci') || contains(github.event.label.name, 'release-ci') || contains(github.event.label.name, 'lake-ci')
|
||||
steps:
|
||||
- run: |
|
||||
# Finding latest CI workflow run on current pull request
|
||||
|
||||
@@ -41,7 +41,7 @@ if(NOT (DEFINED STAGE0_CMAKE_EXECUTABLE_SUFFIX))
|
||||
set(STAGE0_CMAKE_EXECUTABLE_SUFFIX "${CMAKE_EXECUTABLE_SUFFIX}")
|
||||
endif()
|
||||
|
||||
# Don't do anything with cadical on wasm
|
||||
# Don't do anything with cadical/leantar on wasm
|
||||
if(NOT CMAKE_SYSTEM_NAME MATCHES "Emscripten")
|
||||
find_program(CADICAL cadical)
|
||||
if(NOT CADICAL)
|
||||
@@ -77,7 +77,44 @@ if(NOT CMAKE_SYSTEM_NAME MATCHES "Emscripten")
|
||||
set(CADICAL ${CMAKE_BINARY_DIR}/cadical/cadical${CMAKE_EXECUTABLE_SUFFIX})
|
||||
list(APPEND EXTRA_DEPENDS cadical)
|
||||
endif()
|
||||
list(APPEND CL_ARGS -DCADICAL=${CADICAL})
|
||||
find_program(LEANTAR leantar)
|
||||
if(NOT LEANTAR)
|
||||
set(LEANTAR_VERSION v0.1.18)
|
||||
if(CMAKE_SYSTEM_NAME MATCHES "Windows")
|
||||
set(LEANTAR_ARCHIVE_SUFFIX .zip)
|
||||
set(LEANTAR_TARGET x86_64-pc-windows-msvc)
|
||||
else()
|
||||
set(LEANTAR_ARCHIVE_SUFFIX .tar.gz)
|
||||
if(CMAKE_SYSTEM_PROCESSOR MATCHES "arm64")
|
||||
set(LEANTAR_TARGET_ARCH aarch64)
|
||||
else()
|
||||
set(LEANTAR_TARGET_ARCH x86_64)
|
||||
endif()
|
||||
if(CMAKE_SYSTEM_NAME MATCHES "Darwin")
|
||||
set(LEANTAR_TARGET_OS apple-darwin)
|
||||
else()
|
||||
set(LEANTAR_TARGET_OS unknown-linux-musl)
|
||||
endif()
|
||||
set(LEANTAR_TARGET ${LEANTAR_TARGET_ARCH}-${LEANTAR_TARGET_OS})
|
||||
endif()
|
||||
set(
|
||||
LEANTAR
|
||||
${CMAKE_BINARY_DIR}/leantar/leantar-${LEANTAR_VERSION}-${LEANTAR_TARGET}/leantar${CMAKE_EXECUTABLE_SUFFIX}
|
||||
)
|
||||
if(NOT EXISTS "${LEANTAR}")
|
||||
file(
|
||||
DOWNLOAD
|
||||
https://github.com/digama0/leangz/releases/download/${LEANTAR_VERSION}/leantar-${LEANTAR_VERSION}-${LEANTAR_TARGET}${LEANTAR_ARCHIVE_SUFFIX}
|
||||
${CMAKE_BINARY_DIR}/leantar${LEANTAR_ARCHIVE_SUFFIX}
|
||||
)
|
||||
file(
|
||||
ARCHIVE_EXTRACT
|
||||
INPUT ${CMAKE_BINARY_DIR}/leantar${LEANTAR_ARCHIVE_SUFFIX}
|
||||
DESTINATION ${CMAKE_BINARY_DIR}/leantar
|
||||
)
|
||||
endif()
|
||||
endif()
|
||||
list(APPEND CL_ARGS -DCADICAL=${CADICAL} -DLEANTAR=${LEANTAR})
|
||||
endif()
|
||||
|
||||
if(USE_MIMALLOC)
|
||||
|
||||
@@ -7,7 +7,7 @@ Helpful links
|
||||
-------
|
||||
|
||||
* [Development Setup](./doc/dev/index.md)
|
||||
* [Testing](./doc/dev/testing.md)
|
||||
* [Testing](./tests/README.md)
|
||||
* [Commit convention](./doc/dev/commit_convention.md)
|
||||
|
||||
Before You Submit a Pull Request (PR):
|
||||
|
||||
206
LICENSES
206
LICENSES
@@ -1370,4 +1370,208 @@ FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
||||
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
||||
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
||||
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
|
||||
SOFTWARE.
|
||||
SOFTWARE.
|
||||
==============================================================================
|
||||
leantar is by Mario Carneiro and distributed under the Apache 2.0 License:
|
||||
==============================================================================
|
||||
Apache License
|
||||
Version 2.0, January 2004
|
||||
http://www.apache.org/licenses/
|
||||
|
||||
TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
|
||||
|
||||
1. Definitions.
|
||||
|
||||
"License" shall mean the terms and conditions for use, reproduction,
|
||||
and distribution as defined by Sections 1 through 9 of this document.
|
||||
|
||||
"Licensor" shall mean the copyright owner or entity authorized by
|
||||
the copyright owner that is granting the License.
|
||||
|
||||
"Legal Entity" shall mean the union of the acting entity and all
|
||||
other entities that control, are controlled by, or are under common
|
||||
control with that entity. For the purposes of this definition,
|
||||
"control" means (i) the power, direct or indirect, to cause the
|
||||
direction or management of such entity, whether by contract or
|
||||
otherwise, or (ii) ownership of fifty percent (50%) or more of the
|
||||
outstanding shares, or (iii) beneficial ownership of such entity.
|
||||
|
||||
"You" (or "Your") shall mean an individual or Legal Entity
|
||||
exercising permissions granted by this License.
|
||||
|
||||
"Source" form shall mean the preferred form for making modifications,
|
||||
including but not limited to software source code, documentation
|
||||
source, and configuration files.
|
||||
|
||||
"Object" form shall mean any form resulting from mechanical
|
||||
transformation or translation of a Source form, including but
|
||||
not limited to compiled object code, generated documentation,
|
||||
and conversions to other media types.
|
||||
|
||||
"Work" shall mean the work of authorship, whether in Source or
|
||||
Object form, made available under the License, as indicated by a
|
||||
copyright notice that is included in or attached to the work
|
||||
(an example is provided in the Appendix below).
|
||||
|
||||
"Derivative Works" shall mean any work, whether in Source or Object
|
||||
form, that is based on (or derived from) the Work and for which the
|
||||
editorial revisions, annotations, elaborations, or other modifications
|
||||
represent, as a whole, an original work of authorship. For the purposes
|
||||
of this License, Derivative Works shall not include works that remain
|
||||
separable from, or merely link (or bind by name) to the interfaces of,
|
||||
the Work and Derivative Works thereof.
|
||||
|
||||
"Contribution" shall mean any work of authorship, including
|
||||
the original version of the Work and any modifications or additions
|
||||
to that Work or Derivative Works thereof, that is intentionally
|
||||
submitted to Licensor for inclusion in the Work by the copyright owner
|
||||
or by an individual or Legal Entity authorized to submit on behalf of
|
||||
the copyright owner. For the purposes of this definition, "submitted"
|
||||
means any form of electronic, verbal, or written communication sent
|
||||
to the Licensor or its representatives, including but not limited to
|
||||
communication on electronic mailing lists, source code control systems,
|
||||
and issue tracking systems that are managed by, or on behalf of, the
|
||||
Licensor for the purpose of discussing and improving the Work, but
|
||||
excluding communication that is conspicuously marked or otherwise
|
||||
designated in writing by the copyright owner as "Not a Contribution."
|
||||
|
||||
"Contributor" shall mean Licensor and any individual or Legal Entity
|
||||
on behalf of whom a Contribution has been received by Licensor and
|
||||
subsequently incorporated within the Work.
|
||||
|
||||
2. Grant of Copyright License. Subject to the terms and conditions of
|
||||
this License, each Contributor hereby grants to You a perpetual,
|
||||
worldwide, non-exclusive, no-charge, royalty-free, irrevocable
|
||||
copyright license to reproduce, prepare Derivative Works of,
|
||||
publicly display, publicly perform, sublicense, and distribute the
|
||||
Work and such Derivative Works in Source or Object form.
|
||||
|
||||
3. Grant of Patent License. Subject to the terms and conditions of
|
||||
this License, each Contributor hereby grants to You a perpetual,
|
||||
worldwide, non-exclusive, no-charge, royalty-free, irrevocable
|
||||
(except as stated in this section) patent license to make, have made,
|
||||
use, offer to sell, sell, import, and otherwise transfer the Work,
|
||||
where such license applies only to those patent claims licensable
|
||||
by such Contributor that are necessarily infringed by their
|
||||
Contribution(s) alone or by combination of their Contribution(s)
|
||||
with the Work to which such Contribution(s) was submitted. If You
|
||||
institute patent litigation against any entity (including a
|
||||
cross-claim or counterclaim in a lawsuit) alleging that the Work
|
||||
or a Contribution incorporated within the Work constitutes direct
|
||||
or contributory patent infringement, then any patent licenses
|
||||
granted to You under this License for that Work shall terminate
|
||||
as of the date such litigation is filed.
|
||||
|
||||
4. Redistribution. You may reproduce and distribute copies of the
|
||||
Work or Derivative Works thereof in any medium, with or without
|
||||
modifications, and in Source or Object form, provided that You
|
||||
meet the following conditions:
|
||||
|
||||
(a) You must give any other recipients of the Work or
|
||||
Derivative Works a copy of this License; and
|
||||
|
||||
(b) You must cause any modified files to carry prominent notices
|
||||
stating that You changed the files; and
|
||||
|
||||
(c) You must retain, in the Source form of any Derivative Works
|
||||
that You distribute, all copyright, patent, trademark, and
|
||||
attribution notices from the Source form of the Work,
|
||||
excluding those notices that do not pertain to any part of
|
||||
the Derivative Works; and
|
||||
|
||||
(d) If the Work includes a "NOTICE" text file as part of its
|
||||
distribution, then any Derivative Works that You distribute must
|
||||
include a readable copy of the attribution notices contained
|
||||
within such NOTICE file, excluding those notices that do not
|
||||
pertain to any part of the Derivative Works, in at least one
|
||||
of the following places: within a NOTICE text file distributed
|
||||
as part of the Derivative Works; within the Source form or
|
||||
documentation, if provided along with the Derivative Works; or,
|
||||
within a display generated by the Derivative Works, if and
|
||||
wherever such third-party notices normally appear. The contents
|
||||
of the NOTICE file are for informational purposes only and
|
||||
do not modify the License. You may add Your own attribution
|
||||
notices within Derivative Works that You distribute, alongside
|
||||
or as an addendum to the NOTICE text from the Work, provided
|
||||
that such additional attribution notices cannot be construed
|
||||
as modifying the License.
|
||||
|
||||
You may add Your own copyright statement to Your modifications and
|
||||
may provide additional or different license terms and conditions
|
||||
for use, reproduction, or distribution of Your modifications, or
|
||||
for any such Derivative Works as a whole, provided Your use,
|
||||
reproduction, and distribution of the Work otherwise complies with
|
||||
the conditions stated in this License.
|
||||
|
||||
5. Submission of Contributions. Unless You explicitly state otherwise,
|
||||
any Contribution intentionally submitted for inclusion in the Work
|
||||
by You to the Licensor shall be under the terms and conditions of
|
||||
this License, without any additional terms or conditions.
|
||||
Notwithstanding the above, nothing herein shall supersede or modify
|
||||
the terms of any separate license agreement you may have executed
|
||||
with Licensor regarding such Contributions.
|
||||
|
||||
6. Trademarks. This License does not grant permission to use the trade
|
||||
names, trademarks, service marks, or product names of the Licensor,
|
||||
except as required for reasonable and customary use in describing the
|
||||
origin of the Work and reproducing the content of the NOTICE file.
|
||||
|
||||
7. Disclaimer of Warranty. Unless required by applicable law or
|
||||
agreed to in writing, Licensor provides the Work (and each
|
||||
Contributor provides its Contributions) on an "AS IS" BASIS,
|
||||
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
|
||||
implied, including, without limitation, any warranties or conditions
|
||||
of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
|
||||
PARTICULAR PURPOSE. You are solely responsible for determining the
|
||||
appropriateness of using or redistributing the Work and assume any
|
||||
risks associated with Your exercise of permissions under this License.
|
||||
|
||||
8. Limitation of Liability. In no event and under no legal theory,
|
||||
whether in tort (including negligence), contract, or otherwise,
|
||||
unless required by applicable law (such as deliberate and grossly
|
||||
negligent acts) or agreed to in writing, shall any Contributor be
|
||||
liable to You for damages, including any direct, indirect, special,
|
||||
incidental, or consequential damages of any character arising as a
|
||||
result of this License or out of the use or inability to use the
|
||||
Work (including but not limited to damages for loss of goodwill,
|
||||
work stoppage, computer failure or malfunction, or any and all
|
||||
other commercial damages or losses), even if such Contributor
|
||||
has been advised of the possibility of such damages.
|
||||
|
||||
9. Accepting Warranty or Additional Liability. While redistributing
|
||||
the Work or Derivative Works thereof, You may choose to offer,
|
||||
and charge a fee for, acceptance of support, warranty, indemnity,
|
||||
or other liability obligations and/or rights consistent with this
|
||||
License. However, in accepting such obligations, You may act only
|
||||
on Your own behalf and on Your sole responsibility, not on behalf
|
||||
of any other Contributor, and only if You agree to indemnify,
|
||||
defend, and hold each Contributor harmless for any liability
|
||||
incurred by, or claims asserted against, such Contributor by reason
|
||||
of your accepting any such warranty or additional liability.
|
||||
|
||||
END OF TERMS AND CONDITIONS
|
||||
|
||||
APPENDIX: How to apply the Apache License to your work.
|
||||
|
||||
To apply the Apache License to your work, attach the following
|
||||
boilerplate notice, with the fields enclosed by brackets "[]"
|
||||
replaced with your own identifying information. (Don't include
|
||||
the brackets!) The text should be enclosed in the appropriate
|
||||
comment syntax for the file format. We also recommend that a
|
||||
file or class name and description of purpose be included on the
|
||||
same "printed page" as the copyright notice for easier
|
||||
identification within third-party archives.
|
||||
|
||||
Copyright [yyyy] [name of copyright owner]
|
||||
|
||||
Licensed under the Apache License, Version 2.0 (the "License");
|
||||
you may not use this file except in compliance with the License.
|
||||
You may obtain a copy of the License at
|
||||
|
||||
http://www.apache.org/licenses/LICENSE-2.0
|
||||
|
||||
Unless required by applicable law or agreed to in writing, software
|
||||
distributed under the License is distributed on an "AS IS" BASIS,
|
||||
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||
See the License for the specific language governing permissions and
|
||||
limitations under the License.
|
||||
|
||||
1
doc/.gitignore
vendored
1
doc/.gitignore
vendored
@@ -1 +0,0 @@
|
||||
out
|
||||
@@ -1,7 +1,9 @@
|
||||
# Development Workflow
|
||||
|
||||
If you want to make changes to Lean itself, start by [building Lean](../make/index.md) from a clean checkout to make sure that everything is set up correctly.
|
||||
After that, read on below to find out how to set up your editor for changing the Lean source code, followed by further sections of the development manual where applicable such as on the [test suite](testing.md) and [commit convention](commit_convention.md).
|
||||
After that, read on below to find out how to set up your editor for changing the Lean source code,
|
||||
followed by further sections of the development manual where applicable
|
||||
such as on the [test suite](../../tests/README.md) and [commit convention](commit_convention.md).
|
||||
|
||||
If you are planning to make any changes that may affect the compilation of Lean itself, e.g. changes to the parser, elaborator, or compiler, you should first read about the [bootstrapping pipeline](bootstrap.md).
|
||||
You should not edit the `stage0` directory except using the commands described in that section when necessary.
|
||||
|
||||
@@ -1,142 +0,0 @@
|
||||
# Test Suite
|
||||
|
||||
**Warning:** This document is partially outdated.
|
||||
It describes the old test suite, which is currently in the process of being replaced.
|
||||
The new test suite's documentation can be found at [`tests/README.md`](../../tests/README.md).
|
||||
|
||||
After [building Lean](../make/index.md) you can run all the tests using
|
||||
```
|
||||
cd build/release
|
||||
make test ARGS=-j4
|
||||
```
|
||||
Change the 4 to the maximum number of parallel tests you want to
|
||||
allow. The best choice is the number of CPU cores on your machine as
|
||||
the tests are mostly CPU bound. You can find the number of processors
|
||||
on linux using `nproc` and on Windows it is the `NUMBER_OF_PROCESSORS`
|
||||
environment variable.
|
||||
|
||||
You can run tests after [building a specific stage](bootstrap.md) by
|
||||
adding the `-C stageN` argument. The default when run as above is stage 1. The
|
||||
Lean tests will automatically use that stage's corresponding Lean
|
||||
executables
|
||||
|
||||
Running `make test` will not pick up new test files; run
|
||||
```bash
|
||||
cmake build/release/stage1
|
||||
```
|
||||
to update the list of tests.
|
||||
|
||||
You can also use `ctest` directly if you are in the right folder. So
|
||||
to run stage1 tests with a 300 second timeout run this:
|
||||
|
||||
```bash
|
||||
cd build/release/stage1
|
||||
ctest -j 4 --output-on-failure --timeout 300
|
||||
```
|
||||
Useful `ctest` flags are `-R <name of test>` to run a single test, and
|
||||
`--rerun-failed` to run all tests that failed during the last run.
|
||||
You can also pass `ctest` flags via `make test ARGS="--rerun-failed"`.
|
||||
|
||||
To get verbose output from ctest pass the `--verbose` command line
|
||||
option. Test output is normally suppressed and only summary
|
||||
information is displayed. This option will show all test output.
|
||||
|
||||
## Test Suite Organization
|
||||
|
||||
All these tests are included by [src/shell/CMakeLists.txt](https://github.com/leanprover/lean4/blob/master/src/shell/CMakeLists.txt):
|
||||
|
||||
- [`tests/lean`](https://github.com/leanprover/lean4/tree/master/tests/lean/): contains tests that come equipped with a
|
||||
.lean.expected.out file. The driver script [`test_single.sh`](https://github.com/leanprover/lean4/tree/master/tests/lean/test_single.sh) runs
|
||||
each test and checks the actual output (*.produced.out) with the
|
||||
checked in expected output.
|
||||
|
||||
- [`tests/lean/run`](https://github.com/leanprover/lean4/tree/master/tests/lean/run/): contains tests that are run through the lean
|
||||
command line one file at a time. These tests only look for error
|
||||
codes and do not check the expected output even though output is
|
||||
produced, it is ignored.
|
||||
|
||||
**Note:** Tests in this directory run with `-Dlinter.all=false` to reduce noise.
|
||||
If your test needs to verify linter behavior (e.g., deprecation warnings),
|
||||
explicitly enable the relevant linter with `set_option linter.<name> true`.
|
||||
|
||||
- [`tests/lean/interactive`](https://github.com/leanprover/lean4/tree/master/tests/lean/interactive/): are designed to test server requests at a
|
||||
given position in the input file. Each .lean file contains comments
|
||||
that indicate how to simulate a client request at that position.
|
||||
using a `--^` point to the line position. Example:
|
||||
```lean,ignore
|
||||
open Foo in
|
||||
theorem tst2 (h : a ≤ b) : a + 2 ≤ b + 2 :=
|
||||
Bla.
|
||||
--^ completion
|
||||
```
|
||||
In this example, the test driver [`test_single.sh`](https://github.com/leanprover/lean4/tree/master/tests/lean/interactive/test_single.sh) will simulate an
|
||||
auto-completion request at `Bla.`. The expected output is stored in
|
||||
a .lean.expected.out in the json format that is part of the
|
||||
[Language Server
|
||||
Protocol](https://microsoft.github.io/language-server-protocol/).
|
||||
|
||||
This can also be used to test the following additional requests:
|
||||
```
|
||||
--^ textDocument/hover
|
||||
--^ textDocument/typeDefinition
|
||||
--^ textDocument/definition
|
||||
--^ $/lean/plainGoal
|
||||
--^ $/lean/plainTermGoal
|
||||
--^ insert: ...
|
||||
--^ collectDiagnostics
|
||||
```
|
||||
|
||||
- [`tests/lean/server`](https://github.com/leanprover/lean4/tree/master/tests/lean/server/): Tests more of the Lean `--server` protocol.
|
||||
There are just a few of them, and it uses .log files containing
|
||||
JSON.
|
||||
|
||||
- [`tests/compiler`](https://github.com/leanprover/lean4/tree/master/tests/compiler/): contains tests that will run the Lean compiler and
|
||||
build an executable that is executed and the output is compared to
|
||||
the .lean.expected.out file. This test also contains a subfolder
|
||||
[`foreign`](https://github.com/leanprover/lean4/tree/master/tests/compiler/foreign/) which shows how to extend Lean using C++.
|
||||
|
||||
- [`tests/lean/trust0`](https://github.com/leanprover/lean4/tree/master/tests/lean/trust0): tests that run Lean in a mode that Lean doesn't
|
||||
even trust the .olean files (i.e., trust 0).
|
||||
|
||||
- [`tests/bench`](https://github.com/leanprover/lean4/tree/master/tests/bench/): contains performance tests.
|
||||
|
||||
- [`tests/plugin`](https://github.com/leanprover/lean4/tree/master/tests/plugin/): tests that compiled Lean code can be loaded into
|
||||
`lean` via the `--plugin` command line option.
|
||||
|
||||
## Writing Good Tests
|
||||
|
||||
Every test file should contain:
|
||||
* an initial `/-! -/` module docstring summarizing the test's purpose
|
||||
* a module docstring for each test section that describes what is tested
|
||||
and, if not 100% clear, why that is the desirable behavior
|
||||
|
||||
At the time of writing, most tests do not follow these new guidelines yet.
|
||||
For an example of a conforming test, see [`tests/lean/1971.lean`](https://github.com/leanprover/lean4/tree/master/tests/lean/1971.lean).
|
||||
|
||||
## Fixing Tests
|
||||
|
||||
When the Lean source code or the standard library are modified, some of the
|
||||
tests break because the produced output is slightly different, and we have
|
||||
to reflect the changes in the `.lean.expected.out` files.
|
||||
We should not blindly copy the new produced output since we may accidentally
|
||||
miss a bug introduced by recent changes.
|
||||
The test suite contains commands that allow us to see what changed in a convenient way.
|
||||
First, we must install [meld](http://meldmerge.org/). On Ubuntu, we can do it by simply executing
|
||||
|
||||
```
|
||||
sudo apt-get install meld
|
||||
```
|
||||
|
||||
Now, suppose `bad_class.lean` test is broken. We can see the problem by going to [`tests/lean`](https://github.com/leanprover/lean4/tree/master/tests/lean) directory and
|
||||
executing
|
||||
|
||||
```
|
||||
./test_single.sh -i bad_class.lean
|
||||
```
|
||||
|
||||
When the `-i` option is provided, `meld` is automatically invoked
|
||||
whenever there is discrepancy between the produced and expected
|
||||
outputs. `meld` can also be used to repair the problems.
|
||||
|
||||
In Emacs, we can also execute `M-x lean4-diff-test-file` to check/diff the file of the current buffer.
|
||||
To mass-copy all `.produced.out` files to the respective `.expected.out` file, use `tests/lean/copy-produced`.
|
||||
2
doc/examples/.gitignore
vendored
Normal file
2
doc/examples/.gitignore
vendored
Normal file
@@ -0,0 +1,2 @@
|
||||
*.out.produced
|
||||
*.exit.produced
|
||||
2
doc/examples/bintree.lean.out.expected
Normal file
2
doc/examples/bintree.lean.out.expected
Normal file
@@ -0,0 +1,2 @@
|
||||
Tree.node (Tree.node (Tree.leaf) 1 "one" (Tree.leaf)) 2 "two" (Tree.node (Tree.leaf) 3 "three" (Tree.leaf))
|
||||
[(1, "one"), (2, "two"), (3, "three")]
|
||||
7
doc/examples/compiler/run_test
Executable file
7
doc/examples/compiler/run_test
Executable file
@@ -0,0 +1,7 @@
|
||||
#!/usr/bin/env bash
|
||||
source ../../../tests/env_test.sh
|
||||
|
||||
leanmake --always-make bin
|
||||
|
||||
capture ./build/bin/test hello world
|
||||
check_out_contains "[hello, world]"
|
||||
1
doc/examples/compiler/test.lean.out.expected
Normal file
1
doc/examples/compiler/test.lean.out.expected
Normal file
@@ -0,0 +1 @@
|
||||
[hello, world]
|
||||
3
doc/examples/interp.lean.out.expected
Normal file
3
doc/examples/interp.lean.out.expected
Normal file
@@ -0,0 +1,3 @@
|
||||
30
|
||||
interp.lean:146:4: warning: declaration uses `sorry`
|
||||
3628800
|
||||
2
doc/examples/palindromes.lean.out.expected
Normal file
2
doc/examples/palindromes.lean.out.expected
Normal file
@@ -0,0 +1,2 @@
|
||||
true
|
||||
false
|
||||
2
doc/examples/phoas.lean.out.expected
Normal file
2
doc/examples/phoas.lean.out.expected
Normal file
@@ -0,0 +1,2 @@
|
||||
"(((fun x_1 => (fun x_2 => (x_1 + x_2))) 1) 2)"
|
||||
"((((fun x_1 => (fun x_2 => (x_1 + x_2))) 1) 2) + 5)"
|
||||
7
doc/examples/run_test
Executable file
7
doc/examples/run_test
Executable file
@@ -0,0 +1,7 @@
|
||||
#!/usr/bin/env bash
|
||||
source ../../tests/env_test.sh
|
||||
|
||||
capture_only "$1" \
|
||||
lean -Dlinter.all=false "$1"
|
||||
check_exit_is_success
|
||||
check_out_file
|
||||
@@ -1,4 +0,0 @@
|
||||
#!/usr/bin/env bash
|
||||
source ../../tests/common.sh
|
||||
|
||||
exec_check_raw lean -Dlinter.all=false "$f"
|
||||
@@ -1,9 +1,11 @@
|
||||
#!/usr/bin/env python3
|
||||
"""
|
||||
Lean name demangler.
|
||||
Lean name demangler — thin wrapper around the Lean CLI tool.
|
||||
|
||||
Demangles C symbol names produced by the Lean 4 compiler back into
|
||||
readable Lean hierarchical names.
|
||||
Spawns ``lean --run lean_demangle_cli.lean`` as a persistent subprocess
|
||||
and communicates via stdin/stdout pipes. This ensures a single source
|
||||
of truth for demangling logic (the Lean implementation in
|
||||
``Lean.Compiler.NameDemangling``).
|
||||
|
||||
Usage as a filter (like c++filt):
|
||||
echo "l_Lean_Meta_Sym_main" | python lean_demangle.py
|
||||
@@ -13,767 +15,68 @@ Usage as a module:
|
||||
print(demangle_lean_name("l_Lean_Meta_Sym_main"))
|
||||
"""
|
||||
|
||||
import atexit
|
||||
import os
|
||||
import subprocess
|
||||
import sys
|
||||
|
||||
|
||||
# ---------------------------------------------------------------------------
|
||||
# String.mangle / unmangle
|
||||
# ---------------------------------------------------------------------------
|
||||
|
||||
def _is_ascii_alnum(ch):
|
||||
"""Check if ch is an ASCII letter or digit (matching Lean's isAlpha/isDigit)."""
|
||||
return ('a' <= ch <= 'z') or ('A' <= ch <= 'Z') or ('0' <= ch <= '9')
|
||||
|
||||
|
||||
def mangle_string(s):
|
||||
"""Port of Lean's String.mangle: escape a single string for C identifiers."""
|
||||
result = []
|
||||
for ch in s:
|
||||
if _is_ascii_alnum(ch):
|
||||
result.append(ch)
|
||||
elif ch == '_':
|
||||
result.append('__')
|
||||
else:
|
||||
code = ord(ch)
|
||||
if code < 0x100:
|
||||
result.append('_x' + format(code, '02x'))
|
||||
elif code < 0x10000:
|
||||
result.append('_u' + format(code, '04x'))
|
||||
else:
|
||||
result.append('_U' + format(code, '08x'))
|
||||
return ''.join(result)
|
||||
|
||||
|
||||
def _parse_hex(s, pos, n):
|
||||
"""Parse n lowercase hex digits at pos. Returns (new_pos, value) or None."""
|
||||
if pos + n > len(s):
|
||||
return None
|
||||
val = 0
|
||||
for i in range(n):
|
||||
c = s[pos + i]
|
||||
if '0' <= c <= '9':
|
||||
val = (val << 4) | (ord(c) - ord('0'))
|
||||
elif 'a' <= c <= 'f':
|
||||
val = (val << 4) | (ord(c) - ord('a') + 10)
|
||||
else:
|
||||
return None
|
||||
return (pos + n, val)
|
||||
|
||||
|
||||
# ---------------------------------------------------------------------------
|
||||
# Name mangling (for round-trip verification)
|
||||
# ---------------------------------------------------------------------------
|
||||
|
||||
def _check_disambiguation(m):
|
||||
"""Port of Lean's checkDisambiguation: does mangled string m need a '00' prefix?"""
|
||||
pos = 0
|
||||
while pos < len(m):
|
||||
ch = m[pos]
|
||||
if ch == '_':
|
||||
pos += 1
|
||||
continue
|
||||
if ch == 'x':
|
||||
return _parse_hex(m, pos + 1, 2) is not None
|
||||
if ch == 'u':
|
||||
return _parse_hex(m, pos + 1, 4) is not None
|
||||
if ch == 'U':
|
||||
return _parse_hex(m, pos + 1, 8) is not None
|
||||
if '0' <= ch <= '9':
|
||||
return True
|
||||
return False
|
||||
# all underscores or empty
|
||||
return True
|
||||
|
||||
|
||||
def _need_disambiguation(prev_component, mangled_next):
|
||||
"""Port of Lean's needDisambiguation."""
|
||||
# Check if previous component (as a string) ends with '_'
|
||||
prev_ends_underscore = (isinstance(prev_component, str) and
|
||||
len(prev_component) > 0 and
|
||||
prev_component[-1] == '_')
|
||||
return prev_ends_underscore or _check_disambiguation(mangled_next)
|
||||
|
||||
|
||||
def mangle_name(components, prefix="l_"):
|
||||
"""
|
||||
Mangle a list of name components (str or int) into a C symbol.
|
||||
Port of Lean's Name.mangle.
|
||||
"""
|
||||
if not components:
|
||||
return prefix
|
||||
|
||||
parts = []
|
||||
prev = None
|
||||
for i, comp in enumerate(components):
|
||||
if isinstance(comp, int):
|
||||
if i == 0:
|
||||
parts.append(str(comp) + '_')
|
||||
else:
|
||||
parts.append('_' + str(comp) + '_')
|
||||
else:
|
||||
m = mangle_string(comp)
|
||||
if i == 0:
|
||||
if _check_disambiguation(m):
|
||||
parts.append('00' + m)
|
||||
else:
|
||||
parts.append(m)
|
||||
else:
|
||||
if _need_disambiguation(prev, m):
|
||||
parts.append('_00' + m)
|
||||
else:
|
||||
parts.append('_' + m)
|
||||
prev = comp
|
||||
|
||||
return prefix + ''.join(parts)
|
||||
|
||||
|
||||
# ---------------------------------------------------------------------------
|
||||
# Name demangling
|
||||
# ---------------------------------------------------------------------------
|
||||
|
||||
def demangle_body(s):
|
||||
"""
|
||||
Demangle a string produced by Name.mangleAux (without prefix).
|
||||
Returns a list of components (str or int).
|
||||
|
||||
This is a faithful port of Lean's Name.demangleAux from NameMangling.lean.
|
||||
"""
|
||||
components = []
|
||||
length = len(s)
|
||||
|
||||
def emit(comp):
|
||||
components.append(comp)
|
||||
|
||||
def decode_num(pos, n):
|
||||
"""Parse remaining digits, emit numeric component, continue."""
|
||||
while pos < length:
|
||||
ch = s[pos]
|
||||
if '0' <= ch <= '9':
|
||||
n = n * 10 + (ord(ch) - ord('0'))
|
||||
pos += 1
|
||||
else:
|
||||
# Expect '_' (trailing underscore of numeric encoding)
|
||||
pos += 1 # skip '_'
|
||||
emit(n)
|
||||
if pos >= length:
|
||||
return pos
|
||||
# Skip separator '_' and go to name_start
|
||||
pos += 1
|
||||
return name_start(pos)
|
||||
# End of string
|
||||
emit(n)
|
||||
return pos
|
||||
|
||||
def name_start(pos):
|
||||
"""Start parsing a new name component."""
|
||||
if pos >= length:
|
||||
return pos
|
||||
ch = s[pos]
|
||||
pos += 1
|
||||
if '0' <= ch <= '9':
|
||||
# Check for '00' disambiguation
|
||||
if ch == '0' and pos < length and s[pos] == '0':
|
||||
pos += 1
|
||||
return demangle_main(pos, "", 0)
|
||||
else:
|
||||
return decode_num(pos, ord(ch) - ord('0'))
|
||||
elif ch == '_':
|
||||
return demangle_main(pos, "", 1)
|
||||
else:
|
||||
return demangle_main(pos, ch, 0)
|
||||
|
||||
def demangle_main(pos, acc, ucount):
|
||||
"""Main demangling loop."""
|
||||
while pos < length:
|
||||
ch = s[pos]
|
||||
pos += 1
|
||||
|
||||
if ch == '_':
|
||||
ucount += 1
|
||||
continue
|
||||
|
||||
if ucount % 2 == 0:
|
||||
# Even underscores: literal underscores in component name
|
||||
acc += '_' * (ucount // 2) + ch
|
||||
ucount = 0
|
||||
continue
|
||||
|
||||
# Odd ucount: separator or escape
|
||||
if '0' <= ch <= '9':
|
||||
# End current str component, start number
|
||||
emit(acc + '_' * (ucount // 2))
|
||||
if ch == '0' and pos < length and s[pos] == '0':
|
||||
pos += 1
|
||||
return demangle_main(pos, "", 0)
|
||||
else:
|
||||
return decode_num(pos, ord(ch) - ord('0'))
|
||||
|
||||
# Try hex escapes
|
||||
if ch == 'x':
|
||||
result = _parse_hex(s, pos, 2)
|
||||
if result is not None:
|
||||
new_pos, val = result
|
||||
acc += '_' * (ucount // 2) + chr(val)
|
||||
pos = new_pos
|
||||
ucount = 0
|
||||
continue
|
||||
|
||||
if ch == 'u':
|
||||
result = _parse_hex(s, pos, 4)
|
||||
if result is not None:
|
||||
new_pos, val = result
|
||||
acc += '_' * (ucount // 2) + chr(val)
|
||||
pos = new_pos
|
||||
ucount = 0
|
||||
continue
|
||||
|
||||
if ch == 'U':
|
||||
result = _parse_hex(s, pos, 8)
|
||||
if result is not None:
|
||||
new_pos, val = result
|
||||
acc += '_' * (ucount // 2) + chr(val)
|
||||
pos = new_pos
|
||||
ucount = 0
|
||||
continue
|
||||
|
||||
# Name separator
|
||||
emit(acc)
|
||||
acc = '_' * (ucount // 2) + ch
|
||||
ucount = 0
|
||||
|
||||
# End of string
|
||||
acc += '_' * (ucount // 2)
|
||||
if acc:
|
||||
emit(acc)
|
||||
return pos
|
||||
|
||||
name_start(0)
|
||||
return components
|
||||
|
||||
|
||||
# ---------------------------------------------------------------------------
|
||||
# Prefix handling for lp_ (package prefix)
|
||||
# ---------------------------------------------------------------------------
|
||||
|
||||
def _is_valid_string_mangle(s):
|
||||
"""Check if s is a valid output of String.mangle (no trailing bare _)."""
|
||||
pos = 0
|
||||
length = len(s)
|
||||
while pos < length:
|
||||
ch = s[pos]
|
||||
if _is_ascii_alnum(ch):
|
||||
pos += 1
|
||||
elif ch == '_':
|
||||
if pos + 1 >= length:
|
||||
return False # trailing bare _
|
||||
nch = s[pos + 1]
|
||||
if nch == '_':
|
||||
pos += 2
|
||||
elif nch == 'x' and _parse_hex(s, pos + 2, 2) is not None:
|
||||
pos = _parse_hex(s, pos + 2, 2)[0]
|
||||
elif nch == 'u' and _parse_hex(s, pos + 2, 4) is not None:
|
||||
pos = _parse_hex(s, pos + 2, 4)[0]
|
||||
elif nch == 'U' and _parse_hex(s, pos + 2, 8) is not None:
|
||||
pos = _parse_hex(s, pos + 2, 8)[0]
|
||||
else:
|
||||
return False
|
||||
else:
|
||||
return False
|
||||
return True
|
||||
|
||||
|
||||
def _skip_string_mangle(s, pos):
|
||||
"""
|
||||
Skip past a String.mangle output in s starting at pos.
|
||||
Returns the position after the mangled string (where we expect the separator '_').
|
||||
This is a greedy scan.
|
||||
"""
|
||||
length = len(s)
|
||||
while pos < length:
|
||||
ch = s[pos]
|
||||
if _is_ascii_alnum(ch):
|
||||
pos += 1
|
||||
elif ch == '_':
|
||||
if pos + 1 < length:
|
||||
nch = s[pos + 1]
|
||||
if nch == '_':
|
||||
pos += 2
|
||||
elif nch == 'x' and _parse_hex(s, pos + 2, 2) is not None:
|
||||
pos = _parse_hex(s, pos + 2, 2)[0]
|
||||
elif nch == 'u' and _parse_hex(s, pos + 2, 4) is not None:
|
||||
pos = _parse_hex(s, pos + 2, 4)[0]
|
||||
elif nch == 'U' and _parse_hex(s, pos + 2, 8) is not None:
|
||||
pos = _parse_hex(s, pos + 2, 8)[0]
|
||||
else:
|
||||
return pos # bare '_': separator
|
||||
else:
|
||||
return pos
|
||||
else:
|
||||
return pos
|
||||
return pos
|
||||
|
||||
|
||||
def _find_lp_body(s):
|
||||
"""
|
||||
Given s = everything after 'lp_' in a symbol, find where the declaration
|
||||
body (Name.mangleAux output) starts.
|
||||
Returns the start index of the body within s, or None.
|
||||
|
||||
Strategy: try all candidate split points where the package part is a valid
|
||||
String.mangle output and the body round-trips. Prefer the longest valid
|
||||
package name (most specific match).
|
||||
"""
|
||||
length = len(s)
|
||||
|
||||
# Collect candidate split positions: every '_' that could be the separator
|
||||
candidates = []
|
||||
pos = 0
|
||||
while pos < length:
|
||||
if s[pos] == '_':
|
||||
candidates.append(pos)
|
||||
pos += 1
|
||||
|
||||
# Try each candidate; collect all valid splits
|
||||
valid_splits = []
|
||||
for split_pos in candidates:
|
||||
pkg_part = s[:split_pos]
|
||||
if not pkg_part:
|
||||
continue
|
||||
if not _is_valid_string_mangle(pkg_part):
|
||||
continue
|
||||
body = s[split_pos + 1:]
|
||||
if not body:
|
||||
continue
|
||||
components = demangle_body(body)
|
||||
if not components:
|
||||
continue
|
||||
remangled = mangle_name(components, prefix="")
|
||||
if remangled == body:
|
||||
first = components[0]
|
||||
# Score: prefer first component starting with uppercase
|
||||
has_upper = isinstance(first, str) and first and first[0].isupper()
|
||||
valid_splits.append((split_pos, has_upper))
|
||||
|
||||
if valid_splits:
|
||||
# Among splits where first decl component starts uppercase, pick longest pkg.
|
||||
# Otherwise pick shortest pkg.
|
||||
upper_splits = [s for s in valid_splits if s[1]]
|
||||
if upper_splits:
|
||||
best = max(upper_splits, key=lambda x: x[0])
|
||||
else:
|
||||
best = min(valid_splits, key=lambda x: x[0])
|
||||
return best[0] + 1
|
||||
|
||||
# Fallback: greedy String.mangle scan
|
||||
greedy_pos = _skip_string_mangle(s, 0)
|
||||
if greedy_pos < length and s[greedy_pos] == '_':
|
||||
return greedy_pos + 1
|
||||
|
||||
return None
|
||||
|
||||
|
||||
# ---------------------------------------------------------------------------
|
||||
# Format name components for display
|
||||
# ---------------------------------------------------------------------------
|
||||
|
||||
def format_name(components):
|
||||
"""Format a list of name components as a dot-separated string."""
|
||||
return '.'.join(str(c) for c in components)
|
||||
|
||||
|
||||
# ---------------------------------------------------------------------------
|
||||
# Human-friendly postprocessing
|
||||
# ---------------------------------------------------------------------------
|
||||
|
||||
# Compiler-generated suffix components — exact match
|
||||
_SUFFIX_FLAGS_EXACT = {
|
||||
'_redArg': 'arity\u2193',
|
||||
'_boxed': 'boxed',
|
||||
'_impl': 'impl',
|
||||
}
|
||||
|
||||
# Compiler-generated suffix prefixes — match with optional _N index
|
||||
# e.g., _lam, _lam_0, _lam_3, _lambda_0, _closed_2
|
||||
_SUFFIX_FLAGS_PREFIX = {
|
||||
'_lam': '\u03bb',
|
||||
'_lambda': '\u03bb',
|
||||
'_elam': '\u03bb',
|
||||
'_jp': 'jp',
|
||||
'_closed': 'closed',
|
||||
}
|
||||
|
||||
|
||||
def _match_suffix(component):
|
||||
"""
|
||||
Check if a string component is a compiler-generated suffix.
|
||||
Returns the flag label or None.
|
||||
|
||||
Handles both exact matches (_redArg, _boxed) and indexed suffixes
|
||||
(_lam_0, _lambda_2, _closed_0) produced by appendIndexAfter.
|
||||
"""
|
||||
if not isinstance(component, str):
|
||||
return None
|
||||
if component in _SUFFIX_FLAGS_EXACT:
|
||||
return _SUFFIX_FLAGS_EXACT[component]
|
||||
if component in _SUFFIX_FLAGS_PREFIX:
|
||||
return _SUFFIX_FLAGS_PREFIX[component]
|
||||
# Check for indexed suffix: prefix + _N
|
||||
for prefix, label in _SUFFIX_FLAGS_PREFIX.items():
|
||||
if component.startswith(prefix + '_'):
|
||||
rest = component[len(prefix) + 1:]
|
||||
if rest.isdigit():
|
||||
return label
|
||||
return None
|
||||
|
||||
|
||||
def _strip_private(components):
|
||||
"""Strip _private.Module.0. prefix. Returns (stripped_parts, is_private)."""
|
||||
if (len(components) >= 3 and isinstance(components[0], str) and
|
||||
components[0] == '_private'):
|
||||
for i in range(1, len(components)):
|
||||
if components[i] == 0:
|
||||
if i + 1 < len(components):
|
||||
return components[i + 1:], True
|
||||
break
|
||||
return components, False
|
||||
|
||||
|
||||
def _strip_spec_suffixes(components):
|
||||
"""Strip trailing spec_N components (from appendIndexAfter)."""
|
||||
parts = list(components)
|
||||
while parts and isinstance(parts[-1], str) and parts[-1].startswith('spec_'):
|
||||
rest = parts[-1][5:]
|
||||
if rest.isdigit():
|
||||
parts.pop()
|
||||
else:
|
||||
break
|
||||
return parts
|
||||
|
||||
|
||||
def _is_spec_index(component):
|
||||
"""Check if a component is a spec_N index (from appendIndexAfter)."""
|
||||
return (isinstance(component, str) and
|
||||
component.startswith('spec_') and component[5:].isdigit())
|
||||
|
||||
|
||||
def _parse_spec_entries(rest):
|
||||
"""Parse _at_..._spec pairs into separate spec context entries.
|
||||
|
||||
Given components starting from the first _at_, returns:
|
||||
- entries: list of component lists, one per _at_..._spec block
|
||||
- remaining: components after the last _spec N (trailing suffixes)
|
||||
"""
|
||||
entries = []
|
||||
current_ctx = None
|
||||
remaining = []
|
||||
skip_next = False
|
||||
|
||||
for p in rest:
|
||||
if skip_next:
|
||||
skip_next = False
|
||||
continue
|
||||
if isinstance(p, str) and p == '_at_':
|
||||
if current_ctx is not None:
|
||||
entries.append(current_ctx)
|
||||
current_ctx = []
|
||||
continue
|
||||
if isinstance(p, str) and p == '_spec':
|
||||
if current_ctx is not None:
|
||||
entries.append(current_ctx)
|
||||
current_ctx = None
|
||||
skip_next = True
|
||||
continue
|
||||
if isinstance(p, str) and p.startswith('_spec'):
|
||||
if current_ctx is not None:
|
||||
entries.append(current_ctx)
|
||||
current_ctx = None
|
||||
continue
|
||||
if current_ctx is not None:
|
||||
current_ctx.append(p)
|
||||
else:
|
||||
remaining.append(p)
|
||||
|
||||
if current_ctx is not None:
|
||||
entries.append(current_ctx)
|
||||
|
||||
return entries, remaining
|
||||
|
||||
|
||||
def _process_spec_context(components):
|
||||
"""Process a spec context into a clean name and its flags.
|
||||
|
||||
Returns (name_parts, flags) where name_parts are the cleaned components
|
||||
and flags is a deduplicated list of flag labels from compiler suffixes.
|
||||
"""
|
||||
parts = list(components)
|
||||
parts, _ = _strip_private(parts)
|
||||
|
||||
name_parts = []
|
||||
ctx_flags = []
|
||||
seen = set()
|
||||
|
||||
for p in parts:
|
||||
flag = _match_suffix(p)
|
||||
if flag is not None:
|
||||
if flag not in seen:
|
||||
ctx_flags.append(flag)
|
||||
seen.add(flag)
|
||||
elif _is_spec_index(p):
|
||||
pass
|
||||
else:
|
||||
name_parts.append(p)
|
||||
|
||||
return name_parts, ctx_flags
|
||||
|
||||
|
||||
def postprocess_name(components):
|
||||
"""
|
||||
Transform raw demangled components into a human-friendly display string.
|
||||
|
||||
Applies:
|
||||
- Private name cleanup: _private.Module.0.Name.foo -> Name.foo [private]
|
||||
- Hygienic name cleanup: strips _@.module._hygCtx._hyg.N
|
||||
- Suffix folding: _redArg, _boxed, _lam_0, etc. -> [flags]
|
||||
- Specialization: f._at_.g._spec.N -> f spec at g
|
||||
Shown after base [flags], with context flags: spec at g[ctx_flags]
|
||||
"""
|
||||
if not components:
|
||||
return ""
|
||||
|
||||
parts = list(components)
|
||||
flags = []
|
||||
spec_entries = []
|
||||
|
||||
# --- Strip _private prefix ---
|
||||
parts, is_private = _strip_private(parts)
|
||||
|
||||
# --- Strip hygienic suffixes: everything from _@ onward ---
|
||||
at_idx = None
|
||||
for i, p in enumerate(parts):
|
||||
if isinstance(p, str) and p.startswith('_@'):
|
||||
at_idx = i
|
||||
break
|
||||
if at_idx is not None:
|
||||
parts = parts[:at_idx]
|
||||
|
||||
# --- Handle specialization: _at_ ... _spec N ---
|
||||
at_positions = [i for i, p in enumerate(parts)
|
||||
if isinstance(p, str) and p == '_at_']
|
||||
if at_positions:
|
||||
first_at = at_positions[0]
|
||||
base = parts[:first_at]
|
||||
rest = parts[first_at:]
|
||||
|
||||
entries, remaining = _parse_spec_entries(rest)
|
||||
for ctx_components in entries:
|
||||
ctx_name, ctx_flags = _process_spec_context(ctx_components)
|
||||
if ctx_name or ctx_flags:
|
||||
spec_entries.append((ctx_name, ctx_flags))
|
||||
|
||||
parts = base + remaining
|
||||
|
||||
# --- Collect suffix flags from the end ---
|
||||
while parts:
|
||||
last = parts[-1]
|
||||
flag = _match_suffix(last)
|
||||
if flag is not None:
|
||||
flags.append(flag)
|
||||
parts.pop()
|
||||
elif isinstance(last, int) and len(parts) >= 2:
|
||||
prev_flag = _match_suffix(parts[-2])
|
||||
if prev_flag is not None:
|
||||
flags.append(prev_flag)
|
||||
parts.pop() # remove the number
|
||||
parts.pop() # remove the suffix
|
||||
else:
|
||||
break
|
||||
else:
|
||||
break
|
||||
|
||||
if is_private:
|
||||
flags.append('private')
|
||||
|
||||
# --- Format result ---
|
||||
name = '.'.join(str(c) for c in parts) if parts else '?'
|
||||
result = name
|
||||
if flags:
|
||||
flag_str = ', '.join(flags)
|
||||
result += f' [{flag_str}]'
|
||||
|
||||
for ctx_name, ctx_flags in spec_entries:
|
||||
ctx_str = '.'.join(str(c) for c in ctx_name) if ctx_name else '?'
|
||||
if ctx_flags:
|
||||
ctx_flag_str = ', '.join(ctx_flags)
|
||||
result += f' spec at {ctx_str}[{ctx_flag_str}]'
|
||||
else:
|
||||
result += f' spec at {ctx_str}'
|
||||
|
||||
return result
|
||||
|
||||
|
||||
# ---------------------------------------------------------------------------
|
||||
# Main demangling entry point
|
||||
# ---------------------------------------------------------------------------
|
||||
|
||||
def demangle_lean_name_raw(mangled):
|
||||
"""
|
||||
Demangle a Lean C symbol, preserving all internal name components.
|
||||
|
||||
Returns the exact demangled name with all compiler-generated suffixes
|
||||
intact. Use demangle_lean_name() for human-friendly output.
|
||||
"""
|
||||
try:
|
||||
return _demangle_lean_name_inner(mangled, human_friendly=False)
|
||||
except Exception:
|
||||
return mangled
|
||||
_process = None
|
||||
_script_dir = os.path.dirname(os.path.abspath(__file__))
|
||||
_cli_script = os.path.join(_script_dir, "lean_demangle_cli.lean")
|
||||
|
||||
|
||||
def _get_process():
|
||||
"""Get or create the persistent Lean demangler subprocess."""
|
||||
global _process
|
||||
if _process is not None and _process.poll() is None:
|
||||
return _process
|
||||
|
||||
lean = os.environ.get("LEAN", "lean")
|
||||
_process = subprocess.Popen(
|
||||
[lean, "--run", _cli_script],
|
||||
stdin=subprocess.PIPE,
|
||||
stdout=subprocess.PIPE,
|
||||
stderr=subprocess.DEVNULL,
|
||||
text=True,
|
||||
bufsize=1, # line buffered
|
||||
)
|
||||
atexit.register(_cleanup)
|
||||
return _process
|
||||
|
||||
|
||||
def _cleanup():
|
||||
global _process
|
||||
if _process is not None:
|
||||
try:
|
||||
_process.stdin.close()
|
||||
_process.wait(timeout=5)
|
||||
except Exception:
|
||||
_process.kill()
|
||||
_process = None
|
||||
|
||||
|
||||
def demangle_lean_name(mangled):
|
||||
"""
|
||||
Demangle a C symbol name produced by the Lean 4 compiler.
|
||||
|
||||
Returns a human-friendly demangled name with compiler suffixes folded
|
||||
into readable flags. Use demangle_lean_name_raw() to preserve all
|
||||
internal components.
|
||||
Returns a human-friendly demangled name, or the original string
|
||||
if it is not a Lean symbol.
|
||||
"""
|
||||
try:
|
||||
return _demangle_lean_name_inner(mangled, human_friendly=True)
|
||||
proc = _get_process()
|
||||
proc.stdin.write(mangled + "\n")
|
||||
proc.stdin.flush()
|
||||
result = proc.stdout.readline().rstrip("\n")
|
||||
return result if result else mangled
|
||||
except Exception:
|
||||
return mangled
|
||||
|
||||
|
||||
def _demangle_lean_name_inner(mangled, human_friendly=True):
|
||||
"""Inner demangle that may raise on malformed input."""
|
||||
|
||||
if mangled == "_lean_main":
|
||||
return "[lean] main"
|
||||
|
||||
# Handle lean_ runtime functions
|
||||
if human_friendly and mangled.startswith("lean_apply_"):
|
||||
rest = mangled[11:]
|
||||
if rest.isdigit():
|
||||
return f"<apply/{rest}>"
|
||||
|
||||
# Strip .cold.N suffix (LLVM linker cold function clones)
|
||||
cold_suffix = ""
|
||||
core = mangled
|
||||
dot_pos = core.find('.cold.')
|
||||
if dot_pos >= 0:
|
||||
cold_suffix = " " + core[dot_pos:]
|
||||
core = core[:dot_pos]
|
||||
elif core.endswith('.cold'):
|
||||
cold_suffix = " .cold"
|
||||
core = core[:-5]
|
||||
|
||||
result = _demangle_core(core, human_friendly)
|
||||
if result is None:
|
||||
return mangled
|
||||
return result + cold_suffix
|
||||
|
||||
|
||||
def _demangle_core(mangled, human_friendly=True):
|
||||
"""Demangle a symbol without .cold suffix. Returns None if not a Lean name."""
|
||||
|
||||
fmt = postprocess_name if human_friendly else format_name
|
||||
|
||||
# _init_ prefix
|
||||
if mangled.startswith("_init_"):
|
||||
rest = mangled[6:]
|
||||
body, pkg_display = _strip_lean_prefix(rest)
|
||||
if body is None:
|
||||
return None
|
||||
components = demangle_body(body)
|
||||
if not components:
|
||||
return None
|
||||
name = fmt(components)
|
||||
if pkg_display:
|
||||
return f"[init] {name} ({pkg_display})"
|
||||
return f"[init] {name}"
|
||||
|
||||
# initialize_ prefix (module init functions)
|
||||
if mangled.startswith("initialize_"):
|
||||
rest = mangled[11:]
|
||||
# With package: initialize_lp_{pkg}_{body} or initialize_l_{body}
|
||||
body, pkg_display = _strip_lean_prefix(rest)
|
||||
if body is not None:
|
||||
components = demangle_body(body)
|
||||
if components:
|
||||
name = fmt(components)
|
||||
if pkg_display:
|
||||
return f"[module_init] {name} ({pkg_display})"
|
||||
return f"[module_init] {name}"
|
||||
# Without package: initialize_{Name.mangleAux(moduleName)}
|
||||
if rest:
|
||||
components = demangle_body(rest)
|
||||
if components:
|
||||
return f"[module_init] {fmt(components)}"
|
||||
return None
|
||||
|
||||
# l_ or lp_ prefix
|
||||
body, pkg_display = _strip_lean_prefix(mangled)
|
||||
if body is None:
|
||||
return None
|
||||
components = demangle_body(body)
|
||||
if not components:
|
||||
return None
|
||||
name = fmt(components)
|
||||
if pkg_display:
|
||||
return f"{name} ({pkg_display})"
|
||||
return name
|
||||
|
||||
|
||||
def _strip_lean_prefix(s):
|
||||
"""
|
||||
Strip the l_ or lp_ prefix from a mangled symbol.
|
||||
Returns (body, pkg_display) where body is the Name.mangleAux output
|
||||
and pkg_display is None or a string describing the package.
|
||||
Returns (None, None) if the string doesn't have a recognized prefix.
|
||||
"""
|
||||
if s.startswith("l_"):
|
||||
return (s[2:], None)
|
||||
|
||||
if s.startswith("lp_"):
|
||||
after_lp = s[3:]
|
||||
body_start = _find_lp_body(after_lp)
|
||||
if body_start is not None:
|
||||
pkg_mangled = after_lp[:body_start - 1]
|
||||
# Unmangle the package name
|
||||
pkg_components = demangle_body(pkg_mangled)
|
||||
if pkg_components and len(pkg_components) == 1 and isinstance(pkg_components[0], str):
|
||||
pkg_display = pkg_components[0]
|
||||
else:
|
||||
pkg_display = pkg_mangled
|
||||
return (after_lp[body_start:], pkg_display)
|
||||
# Fallback: treat everything after lp_ as body
|
||||
return (after_lp, "?")
|
||||
|
||||
return (None, None)
|
||||
|
||||
|
||||
# ---------------------------------------------------------------------------
|
||||
# CLI
|
||||
# ---------------------------------------------------------------------------
|
||||
|
||||
def main():
|
||||
"""Filter stdin or arguments, demangling Lean names."""
|
||||
import argparse
|
||||
parser = argparse.ArgumentParser(
|
||||
description="Demangle Lean 4 C symbol names (like c++filt for Lean)")
|
||||
parser.add_argument('names', nargs='*',
|
||||
help='Names to demangle (reads stdin if none given)')
|
||||
parser.add_argument('--raw', action='store_true',
|
||||
help='Output exact demangled names without postprocessing')
|
||||
args = parser.parse_args()
|
||||
|
||||
demangle = demangle_lean_name_raw if args.raw else demangle_lean_name
|
||||
|
||||
if args.names:
|
||||
for name in args.names:
|
||||
print(demangle(name))
|
||||
else:
|
||||
for line in sys.stdin:
|
||||
print(demangle(line.rstrip('\n')))
|
||||
"""Filter stdin, demangling Lean names."""
|
||||
for line in sys.stdin:
|
||||
print(demangle_lean_name(line.rstrip("\n")))
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
if __name__ == "__main__":
|
||||
main()
|
||||
|
||||
32
script/profiler/lean_demangle_cli.lean
Normal file
32
script/profiler/lean_demangle_cli.lean
Normal file
@@ -0,0 +1,32 @@
|
||||
/-
|
||||
Copyright (c) 2026 Lean FRO, LLC. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Kim Morrison
|
||||
-/
|
||||
module
|
||||
|
||||
import Lean.Compiler.NameDemangling
|
||||
|
||||
/-!
|
||||
Lean name demangler CLI tool. Reads mangled symbol names from stdin (one per
|
||||
line) and writes demangled names to stdout. Non-Lean symbols pass through
|
||||
unchanged. Like `c++filt` but for Lean names.
|
||||
|
||||
Usage:
|
||||
echo "l_Lean_Meta_foo" | lean --run lean_demangle_cli.lean
|
||||
cat symbols.txt | lean --run lean_demangle_cli.lean
|
||||
-/
|
||||
|
||||
open Lean.Name.Demangle
|
||||
|
||||
def main : IO Unit := do
|
||||
let stdin ← IO.getStdin
|
||||
let stdout ← IO.getStdout
|
||||
repeat do
|
||||
let line ← stdin.getLine
|
||||
if line.isEmpty then break
|
||||
let sym := line.trimRight
|
||||
match demangleSymbol sym with
|
||||
| some s => stdout.putStrLn s
|
||||
| none => stdout.putStrLn sym
|
||||
stdout.flush
|
||||
@@ -1,670 +0,0 @@
|
||||
#!/usr/bin/env python3
|
||||
"""Tests for the Lean name demangler."""
|
||||
|
||||
import unittest
|
||||
import json
|
||||
import gzip
|
||||
import tempfile
|
||||
import os
|
||||
|
||||
from lean_demangle import (
|
||||
mangle_string, mangle_name, demangle_body, format_name,
|
||||
demangle_lean_name, demangle_lean_name_raw, postprocess_name,
|
||||
_parse_hex, _check_disambiguation,
|
||||
)
|
||||
|
||||
|
||||
class TestStringMangle(unittest.TestCase):
|
||||
"""Test String.mangle (character-level escaping)."""
|
||||
|
||||
def test_alphanumeric(self):
|
||||
self.assertEqual(mangle_string("hello"), "hello")
|
||||
self.assertEqual(mangle_string("abc123"), "abc123")
|
||||
|
||||
def test_underscore(self):
|
||||
self.assertEqual(mangle_string("a_b"), "a__b")
|
||||
self.assertEqual(mangle_string("_"), "__")
|
||||
self.assertEqual(mangle_string("__"), "____")
|
||||
|
||||
def test_special_chars(self):
|
||||
self.assertEqual(mangle_string("."), "_x2e")
|
||||
self.assertEqual(mangle_string("a.b"), "a_x2eb")
|
||||
|
||||
def test_unicode(self):
|
||||
self.assertEqual(mangle_string("\u03bb"), "_u03bb")
|
||||
self.assertEqual(mangle_string("\U0001d55c"), "_U0001d55c")
|
||||
|
||||
def test_empty(self):
|
||||
self.assertEqual(mangle_string(""), "")
|
||||
|
||||
|
||||
class TestNameMangle(unittest.TestCase):
|
||||
"""Test Name.mangle (hierarchical name mangling)."""
|
||||
|
||||
def test_simple(self):
|
||||
self.assertEqual(mangle_name(["Lean", "Meta", "Sym", "main"]),
|
||||
"l_Lean_Meta_Sym_main")
|
||||
|
||||
def test_single_component(self):
|
||||
self.assertEqual(mangle_name(["main"]), "l_main")
|
||||
|
||||
def test_numeric_component(self):
|
||||
self.assertEqual(
|
||||
mangle_name(["_private", "Lean", "Meta", "Basic", 0,
|
||||
"Lean", "Meta", "withMVarContextImp"]),
|
||||
"l___private_Lean_Meta_Basic_0__Lean_Meta_withMVarContextImp")
|
||||
|
||||
def test_component_with_underscore(self):
|
||||
self.assertEqual(mangle_name(["a_b"]), "l_a__b")
|
||||
self.assertEqual(mangle_name(["a_b", "c"]), "l_a__b_c")
|
||||
|
||||
def test_disambiguation_digit_start(self):
|
||||
self.assertEqual(mangle_name(["0foo"]), "l_000foo")
|
||||
|
||||
def test_disambiguation_escape_start(self):
|
||||
self.assertEqual(mangle_name(["a", "x27"]), "l_a_00x27")
|
||||
|
||||
def test_numeric_root(self):
|
||||
self.assertEqual(mangle_name([42]), "l_42_")
|
||||
self.assertEqual(mangle_name([42, "foo"]), "l_42__foo")
|
||||
|
||||
def test_component_ending_with_underscore(self):
|
||||
self.assertEqual(mangle_name(["a_", "b"]), "l_a___00b")
|
||||
|
||||
def test_custom_prefix(self):
|
||||
self.assertEqual(mangle_name(["foo"], prefix="lp_pkg_"),
|
||||
"lp_pkg_foo")
|
||||
|
||||
|
||||
class TestDemangleBody(unittest.TestCase):
|
||||
"""Test demangle_body (the core Name.demangleAux algorithm)."""
|
||||
|
||||
def test_simple(self):
|
||||
self.assertEqual(demangle_body("Lean_Meta_Sym_main"),
|
||||
["Lean", "Meta", "Sym", "main"])
|
||||
|
||||
def test_single(self):
|
||||
self.assertEqual(demangle_body("main"), ["main"])
|
||||
|
||||
def test_empty(self):
|
||||
self.assertEqual(demangle_body(""), [])
|
||||
|
||||
def test_underscore_in_component(self):
|
||||
self.assertEqual(demangle_body("a__b"), ["a_b"])
|
||||
self.assertEqual(demangle_body("a__b_c"), ["a_b", "c"])
|
||||
|
||||
def test_numeric_component(self):
|
||||
self.assertEqual(demangle_body("foo_42__bar"), ["foo", 42, "bar"])
|
||||
|
||||
def test_numeric_root(self):
|
||||
self.assertEqual(demangle_body("42_"), [42])
|
||||
|
||||
def test_numeric_at_end(self):
|
||||
self.assertEqual(demangle_body("foo_42_"), ["foo", 42])
|
||||
|
||||
def test_disambiguation_00(self):
|
||||
self.assertEqual(demangle_body("a_00x27"), ["a", "x27"])
|
||||
|
||||
def test_disambiguation_00_at_root(self):
|
||||
self.assertEqual(demangle_body("000foo"), ["0foo"])
|
||||
|
||||
def test_hex_escape_x(self):
|
||||
self.assertEqual(demangle_body("a_x2eb"), ["a.b"])
|
||||
|
||||
def test_hex_escape_u(self):
|
||||
self.assertEqual(demangle_body("_u03bb"), ["\u03bb"])
|
||||
|
||||
def test_hex_escape_U(self):
|
||||
self.assertEqual(demangle_body("_U0001d55c"), ["\U0001d55c"])
|
||||
|
||||
def test_private_name(self):
|
||||
body = "__private_Lean_Meta_Basic_0__Lean_Meta_withMVarContextImp"
|
||||
self.assertEqual(demangle_body(body),
|
||||
["_private", "Lean", "Meta", "Basic", 0,
|
||||
"Lean", "Meta", "withMVarContextImp"])
|
||||
|
||||
def test_boxed_suffix(self):
|
||||
body = "foo___boxed"
|
||||
self.assertEqual(demangle_body(body), ["foo", "_boxed"])
|
||||
|
||||
def test_redArg_suffix(self):
|
||||
body = "foo_bar___redArg"
|
||||
self.assertEqual(demangle_body(body), ["foo", "bar", "_redArg"])
|
||||
|
||||
def test_component_ending_underscore_disambiguation(self):
|
||||
self.assertEqual(demangle_body("a___00b"), ["a_", "b"])
|
||||
|
||||
|
||||
class TestRoundTrip(unittest.TestCase):
|
||||
"""Test that mangle(demangle(x)) == x for various names."""
|
||||
|
||||
def _check_roundtrip(self, components):
|
||||
mangled = mangle_name(components, prefix="")
|
||||
demangled = demangle_body(mangled)
|
||||
self.assertEqual(demangled, components,
|
||||
f"Round-trip failed: {components} -> '{mangled}' -> {demangled}")
|
||||
mangled_with_prefix = mangle_name(components, prefix="l_")
|
||||
self.assertTrue(mangled_with_prefix.startswith("l_"))
|
||||
body = mangled_with_prefix[2:]
|
||||
demangled2 = demangle_body(body)
|
||||
self.assertEqual(demangled2, components)
|
||||
|
||||
def test_simple_names(self):
|
||||
self._check_roundtrip(["Lean", "Meta", "main"])
|
||||
self._check_roundtrip(["a"])
|
||||
self._check_roundtrip(["Foo", "Bar", "baz"])
|
||||
|
||||
def test_numeric(self):
|
||||
self._check_roundtrip(["foo", 0, "bar"])
|
||||
self._check_roundtrip([42])
|
||||
self._check_roundtrip(["a", 1, "b", 2, "c"])
|
||||
|
||||
def test_underscores(self):
|
||||
self._check_roundtrip(["_private"])
|
||||
self._check_roundtrip(["a_b", "c_d"])
|
||||
self._check_roundtrip(["_at_", "_spec"])
|
||||
|
||||
def test_private_name(self):
|
||||
self._check_roundtrip(["_private", "Lean", "Meta", "Basic", 0,
|
||||
"Lean", "Meta", "withMVarContextImp"])
|
||||
|
||||
def test_boxed(self):
|
||||
self._check_roundtrip(["Lean", "Meta", "foo", "_boxed"])
|
||||
|
||||
def test_redArg(self):
|
||||
self._check_roundtrip(["Lean", "Meta", "foo", "_redArg"])
|
||||
|
||||
def test_specialization(self):
|
||||
self._check_roundtrip(["List", "map", "_at_", "Foo", "bar", "_spec", 3])
|
||||
|
||||
def test_lambda(self):
|
||||
self._check_roundtrip(["Foo", "bar", "_lambda", 0])
|
||||
self._check_roundtrip(["Foo", "bar", "_lambda", 2])
|
||||
|
||||
def test_closed(self):
|
||||
self._check_roundtrip(["myConst", "_closed", 0])
|
||||
|
||||
def test_special_chars(self):
|
||||
self._check_roundtrip(["a.b"])
|
||||
self._check_roundtrip(["\u03bb"])
|
||||
self._check_roundtrip(["a", "b\u2192c"])
|
||||
|
||||
def test_disambiguation_cases(self):
|
||||
self._check_roundtrip(["a", "x27"])
|
||||
self._check_roundtrip(["0foo"])
|
||||
self._check_roundtrip(["a_", "b"])
|
||||
|
||||
def test_complex_real_names(self):
|
||||
"""Names modeled after real Lean compiler output."""
|
||||
self._check_roundtrip(
|
||||
["Lean", "MVarId", "withContext", "_at_",
|
||||
"_private", "Lean", "Meta", "Sym", 0,
|
||||
"Lean", "Meta", "Sym", "BackwardRule", "apply",
|
||||
"_spec", 2, "_redArg", "_lambda", 0, "_boxed"])
|
||||
|
||||
|
||||
class TestDemangleRaw(unittest.TestCase):
|
||||
"""Test demangle_lean_name_raw (exact demangling, no postprocessing)."""
|
||||
|
||||
def test_l_prefix(self):
|
||||
self.assertEqual(
|
||||
demangle_lean_name_raw("l_Lean_Meta_Sym_main"),
|
||||
"Lean.Meta.Sym.main")
|
||||
|
||||
def test_l_prefix_private(self):
|
||||
result = demangle_lean_name_raw(
|
||||
"l___private_Lean_Meta_Basic_0__Lean_Meta_withMVarContextImp")
|
||||
self.assertEqual(result,
|
||||
"_private.Lean.Meta.Basic.0.Lean.Meta.withMVarContextImp")
|
||||
|
||||
def test_l_prefix_boxed(self):
|
||||
result = demangle_lean_name_raw("l_foo___boxed")
|
||||
self.assertEqual(result, "foo._boxed")
|
||||
|
||||
def test_l_prefix_redArg(self):
|
||||
result = demangle_lean_name_raw(
|
||||
"l___private_Lean_Meta_Basic_0__Lean_Meta_withMVarContextImp___redArg")
|
||||
self.assertEqual(
|
||||
result,
|
||||
"_private.Lean.Meta.Basic.0.Lean.Meta.withMVarContextImp._redArg")
|
||||
|
||||
def test_lean_main(self):
|
||||
self.assertEqual(demangle_lean_name_raw("_lean_main"), "[lean] main")
|
||||
|
||||
def test_non_lean_names(self):
|
||||
self.assertEqual(demangle_lean_name_raw("printf"), "printf")
|
||||
self.assertEqual(demangle_lean_name_raw("malloc"), "malloc")
|
||||
self.assertEqual(demangle_lean_name_raw("lean_apply_5"), "lean_apply_5")
|
||||
self.assertEqual(demangle_lean_name_raw(""), "")
|
||||
|
||||
def test_init_prefix(self):
|
||||
result = demangle_lean_name_raw("_init_l_Lean_Meta_foo")
|
||||
self.assertEqual(result, "[init] Lean.Meta.foo")
|
||||
|
||||
def test_lp_prefix_simple(self):
|
||||
mangled = mangle_name(["Lean", "Meta", "foo"], prefix="lp_std_")
|
||||
self.assertEqual(mangled, "lp_std_Lean_Meta_foo")
|
||||
result = demangle_lean_name_raw(mangled)
|
||||
self.assertEqual(result, "Lean.Meta.foo (std)")
|
||||
|
||||
def test_lp_prefix_underscore_pkg(self):
|
||||
pkg_mangled = mangle_string("my_pkg")
|
||||
self.assertEqual(pkg_mangled, "my__pkg")
|
||||
mangled = mangle_name(["Lean", "Meta", "foo"],
|
||||
prefix=f"lp_{pkg_mangled}_")
|
||||
self.assertEqual(mangled, "lp_my__pkg_Lean_Meta_foo")
|
||||
result = demangle_lean_name_raw(mangled)
|
||||
self.assertEqual(result, "Lean.Meta.foo (my_pkg)")
|
||||
|
||||
def test_lp_prefix_private_decl(self):
|
||||
mangled = mangle_name(
|
||||
["_private", "X", 0, "Y", "foo"], prefix="lp_pkg_")
|
||||
self.assertEqual(mangled, "lp_pkg___private_X_0__Y_foo")
|
||||
result = demangle_lean_name_raw(mangled)
|
||||
self.assertEqual(result, "_private.X.0.Y.foo (pkg)")
|
||||
|
||||
def test_complex_specialization(self):
|
||||
components = [
|
||||
"Lean", "MVarId", "withContext", "_at_",
|
||||
"_private", "Lean", "Meta", "Sym", 0,
|
||||
"Lean", "Meta", "Sym", "BackwardRule", "apply",
|
||||
"_spec", 2, "_redArg", "_lambda", 0, "_boxed"
|
||||
]
|
||||
mangled = mangle_name(components)
|
||||
result = demangle_lean_name_raw(mangled)
|
||||
expected = format_name(components)
|
||||
self.assertEqual(result, expected)
|
||||
|
||||
def test_cold_suffix(self):
|
||||
result = demangle_lean_name_raw("l_Lean_Meta_foo___redArg.cold.1")
|
||||
self.assertEqual(result, "Lean.Meta.foo._redArg .cold.1")
|
||||
|
||||
def test_cold_suffix_plain(self):
|
||||
result = demangle_lean_name_raw("l_Lean_Meta_foo.cold")
|
||||
self.assertEqual(result, "Lean.Meta.foo .cold")
|
||||
|
||||
def test_initialize_no_pkg(self):
|
||||
result = demangle_lean_name_raw("initialize_Init_Control_Basic")
|
||||
self.assertEqual(result, "[module_init] Init.Control.Basic")
|
||||
|
||||
def test_initialize_with_l_prefix(self):
|
||||
result = demangle_lean_name_raw("initialize_l_Lean_Meta_foo")
|
||||
self.assertEqual(result, "[module_init] Lean.Meta.foo")
|
||||
|
||||
def test_never_crashes(self):
|
||||
"""Demangling should never raise, just return the original."""
|
||||
weird_inputs = [
|
||||
"", "l_", "lp_", "lp_x", "_init_", "initialize_",
|
||||
"l_____", "lp____", "l_00", "l_0",
|
||||
"some random string", "l_ space",
|
||||
]
|
||||
for inp in weird_inputs:
|
||||
result = demangle_lean_name_raw(inp)
|
||||
self.assertIsInstance(result, str)
|
||||
|
||||
|
||||
class TestPostprocess(unittest.TestCase):
|
||||
"""Test postprocess_name (human-friendly suffix folding, etc.)."""
|
||||
|
||||
def test_no_change(self):
|
||||
self.assertEqual(postprocess_name(["Lean", "Meta", "main"]),
|
||||
"Lean.Meta.main")
|
||||
|
||||
def test_boxed(self):
|
||||
self.assertEqual(postprocess_name(["foo", "_boxed"]),
|
||||
"foo [boxed]")
|
||||
|
||||
def test_redArg(self):
|
||||
self.assertEqual(postprocess_name(["foo", "bar", "_redArg"]),
|
||||
"foo.bar [arity\u2193]")
|
||||
|
||||
def test_lambda_separate(self):
|
||||
# _lam as separate component + numeric index
|
||||
self.assertEqual(postprocess_name(["foo", "_lam", 0]),
|
||||
"foo [\u03bb]")
|
||||
|
||||
def test_lambda_indexed(self):
|
||||
# _lam_0 as single string (appendIndexAfter)
|
||||
self.assertEqual(postprocess_name(["foo", "_lam_0"]),
|
||||
"foo [\u03bb]")
|
||||
self.assertEqual(postprocess_name(["foo", "_lambda_2"]),
|
||||
"foo [\u03bb]")
|
||||
|
||||
def test_lambda_boxed(self):
|
||||
# _lam_0 followed by _boxed
|
||||
self.assertEqual(
|
||||
postprocess_name(["Lean", "Meta", "Simp", "simpLambda",
|
||||
"_lam_0", "_boxed"]),
|
||||
"Lean.Meta.Simp.simpLambda [boxed, \u03bb]")
|
||||
|
||||
def test_closed(self):
|
||||
self.assertEqual(postprocess_name(["myConst", "_closed", 3]),
|
||||
"myConst [closed]")
|
||||
|
||||
def test_closed_indexed(self):
|
||||
self.assertEqual(postprocess_name(["myConst", "_closed_0"]),
|
||||
"myConst [closed]")
|
||||
|
||||
def test_multiple_suffixes(self):
|
||||
self.assertEqual(postprocess_name(["foo", "_redArg", "_boxed"]),
|
||||
"foo [boxed, arity\u2193]")
|
||||
|
||||
def test_redArg_lam(self):
|
||||
# _redArg followed by _lam_0 (issue #4)
|
||||
self.assertEqual(
|
||||
postprocess_name(["Lean", "profileitIOUnsafe",
|
||||
"_redArg", "_lam_0"]),
|
||||
"Lean.profileitIOUnsafe [\u03bb, arity\u2193]")
|
||||
|
||||
def test_private_name(self):
|
||||
self.assertEqual(
|
||||
postprocess_name(["_private", "Lean", "Meta", "Basic", 0,
|
||||
"Lean", "Meta", "withMVarContextImp"]),
|
||||
"Lean.Meta.withMVarContextImp [private]")
|
||||
|
||||
def test_private_with_suffix(self):
|
||||
self.assertEqual(
|
||||
postprocess_name(["_private", "Lean", "Meta", "Basic", 0,
|
||||
"Lean", "Meta", "foo", "_redArg"]),
|
||||
"Lean.Meta.foo [arity\u2193, private]")
|
||||
|
||||
def test_hygienic_strip(self):
|
||||
self.assertEqual(
|
||||
postprocess_name(["Lean", "Meta", "foo", "_@", "Lean", "Meta",
|
||||
"_hyg", 42]),
|
||||
"Lean.Meta.foo")
|
||||
|
||||
def test_specialization(self):
|
||||
self.assertEqual(
|
||||
postprocess_name(["List", "map", "_at_", "Foo", "bar",
|
||||
"_spec", 3]),
|
||||
"List.map spec at Foo.bar")
|
||||
|
||||
def test_specialization_with_suffix(self):
|
||||
# Base suffix _boxed appears in [flags] before spec at
|
||||
self.assertEqual(
|
||||
postprocess_name(["Lean", "MVarId", "withContext", "_at_",
|
||||
"Foo", "bar", "_spec", 2, "_boxed"]),
|
||||
"Lean.MVarId.withContext [boxed] spec at Foo.bar")
|
||||
|
||||
def test_spec_context_with_flags(self):
|
||||
# Compiler suffixes in spec context become context flags
|
||||
self.assertEqual(
|
||||
postprocess_name(["Lean", "Meta", "foo", "_at_",
|
||||
"Lean", "Meta", "bar", "_elam_1", "_redArg",
|
||||
"_spec", 2]),
|
||||
"Lean.Meta.foo spec at Lean.Meta.bar[\u03bb, arity\u2193]")
|
||||
|
||||
def test_spec_context_flags_dedup(self):
|
||||
# Duplicate flag labels are deduplicated
|
||||
self.assertEqual(
|
||||
postprocess_name(["f", "_at_",
|
||||
"g", "_lam_0", "_elam_1", "_redArg",
|
||||
"_spec", 1]),
|
||||
"f spec at g[\u03bb, arity\u2193]")
|
||||
|
||||
def test_multiple_at(self):
|
||||
# Multiple _at_ entries become separate spec at clauses
|
||||
self.assertEqual(
|
||||
postprocess_name(["f", "_at_", "g", "_spec", 1,
|
||||
"_at_", "h", "_spec", 2]),
|
||||
"f spec at g spec at h")
|
||||
|
||||
def test_multiple_at_with_flags(self):
|
||||
# Multiple spec at with flags on base and contexts
|
||||
self.assertEqual(
|
||||
postprocess_name(["f", "_at_", "g", "_redArg", "_spec", 1,
|
||||
"_at_", "h", "_lam_0", "_spec", 2,
|
||||
"_boxed"]),
|
||||
"f [boxed] spec at g[arity\u2193] spec at h[\u03bb]")
|
||||
|
||||
def test_base_flags_before_spec(self):
|
||||
# Base trailing suffixes appear in [flags] before spec at
|
||||
self.assertEqual(
|
||||
postprocess_name(["f", "_at_", "g", "_spec", 1, "_lam_0"]),
|
||||
"f [\u03bb] spec at g")
|
||||
|
||||
def test_spec_context_strip_spec_suffixes(self):
|
||||
# spec_0 in context should be stripped
|
||||
self.assertEqual(
|
||||
postprocess_name(["Lean", "Meta", "transformWithCache", "visit",
|
||||
"_at_",
|
||||
"_private", "Lean", "Meta", "Transform", 0,
|
||||
"Lean", "Meta", "transform",
|
||||
"Lean", "Meta", "Sym", "unfoldReducible",
|
||||
"spec_0", "spec_0",
|
||||
"_spec", 1]),
|
||||
"Lean.Meta.transformWithCache.visit "
|
||||
"spec at Lean.Meta.transform.Lean.Meta.Sym.unfoldReducible")
|
||||
|
||||
def test_spec_context_strip_private(self):
|
||||
# _private in spec context should be stripped
|
||||
self.assertEqual(
|
||||
postprocess_name(["Array", "mapMUnsafe", "map", "_at_",
|
||||
"_private", "Lean", "Meta", "Transform", 0,
|
||||
"Lean", "Meta", "transformWithCache", "visit",
|
||||
"_spec", 1]),
|
||||
"Array.mapMUnsafe.map "
|
||||
"spec at Lean.Meta.transformWithCache.visit")
|
||||
|
||||
def test_empty(self):
|
||||
self.assertEqual(postprocess_name([]), "")
|
||||
|
||||
|
||||
class TestDemangleHumanFriendly(unittest.TestCase):
|
||||
"""Test demangle_lean_name (human-friendly output)."""
|
||||
|
||||
def test_simple(self):
|
||||
self.assertEqual(demangle_lean_name("l_Lean_Meta_main"),
|
||||
"Lean.Meta.main")
|
||||
|
||||
def test_boxed(self):
|
||||
self.assertEqual(demangle_lean_name("l_foo___boxed"),
|
||||
"foo [boxed]")
|
||||
|
||||
def test_redArg(self):
|
||||
self.assertEqual(demangle_lean_name("l_foo___redArg"),
|
||||
"foo [arity\u2193]")
|
||||
|
||||
def test_private(self):
|
||||
self.assertEqual(
|
||||
demangle_lean_name(
|
||||
"l___private_Lean_Meta_Basic_0__Lean_Meta_foo"),
|
||||
"Lean.Meta.foo [private]")
|
||||
|
||||
def test_private_with_redArg(self):
|
||||
self.assertEqual(
|
||||
demangle_lean_name(
|
||||
"l___private_Lean_Meta_Basic_0__Lean_Meta_foo___redArg"),
|
||||
"Lean.Meta.foo [arity\u2193, private]")
|
||||
|
||||
def test_cold_with_suffix(self):
|
||||
self.assertEqual(
|
||||
demangle_lean_name("l_Lean_Meta_foo___redArg.cold.1"),
|
||||
"Lean.Meta.foo [arity\u2193] .cold.1")
|
||||
|
||||
def test_lean_apply(self):
|
||||
self.assertEqual(demangle_lean_name("lean_apply_5"), "<apply/5>")
|
||||
self.assertEqual(demangle_lean_name("lean_apply_12"), "<apply/12>")
|
||||
|
||||
def test_lean_apply_raw_unchanged(self):
|
||||
self.assertEqual(demangle_lean_name_raw("lean_apply_5"),
|
||||
"lean_apply_5")
|
||||
|
||||
def test_init_private(self):
|
||||
self.assertEqual(
|
||||
demangle_lean_name(
|
||||
"_init_l___private_X_0__Y_foo"),
|
||||
"[init] Y.foo [private]")
|
||||
|
||||
def test_complex_specialization(self):
|
||||
components = [
|
||||
"Lean", "MVarId", "withContext", "_at_",
|
||||
"_private", "Lean", "Meta", "Sym", 0,
|
||||
"Lean", "Meta", "Sym", "BackwardRule", "apply",
|
||||
"_spec", 2, "_redArg", "_lambda", 0, "_boxed"
|
||||
]
|
||||
mangled = mangle_name(components)
|
||||
result = demangle_lean_name(mangled)
|
||||
# Base: Lean.MVarId.withContext with trailing _redArg, _lambda 0, _boxed
|
||||
# Spec context: Lean.Meta.Sym.BackwardRule.apply (private stripped)
|
||||
self.assertEqual(
|
||||
result,
|
||||
"Lean.MVarId.withContext [boxed, \u03bb, arity\u2193] "
|
||||
"spec at Lean.Meta.Sym.BackwardRule.apply")
|
||||
|
||||
def test_non_lean_unchanged(self):
|
||||
self.assertEqual(demangle_lean_name("printf"), "printf")
|
||||
self.assertEqual(demangle_lean_name("malloc"), "malloc")
|
||||
self.assertEqual(demangle_lean_name(""), "")
|
||||
|
||||
|
||||
class TestDemangleProfile(unittest.TestCase):
|
||||
"""Test the profile rewriter."""
|
||||
|
||||
def _make_profile_shared(self, strings):
|
||||
"""Create a profile with shared.stringArray (newer format)."""
|
||||
return {
|
||||
"meta": {"version": 28},
|
||||
"libs": [],
|
||||
"shared": {
|
||||
"stringArray": list(strings),
|
||||
},
|
||||
"threads": [{
|
||||
"name": "main",
|
||||
"pid": "1",
|
||||
"tid": 1,
|
||||
"funcTable": {
|
||||
"name": list(range(len(strings))),
|
||||
"isJS": [False] * len(strings),
|
||||
"relevantForJS": [False] * len(strings),
|
||||
"resource": [-1] * len(strings),
|
||||
"fileName": [None] * len(strings),
|
||||
"lineNumber": [None] * len(strings),
|
||||
"columnNumber": [None] * len(strings),
|
||||
"length": len(strings),
|
||||
},
|
||||
"frameTable": {"length": 0},
|
||||
"stackTable": {"length": 0},
|
||||
"samples": {"length": 0},
|
||||
"markers": {"length": 0},
|
||||
"resourceTable": {"length": 0},
|
||||
"nativeSymbols": {"length": 0},
|
||||
}],
|
||||
"pages": [],
|
||||
"counters": [],
|
||||
}
|
||||
|
||||
def _make_profile_per_thread(self, strings):
|
||||
"""Create a profile with per-thread stringArray (samply format)."""
|
||||
return {
|
||||
"meta": {"version": 28},
|
||||
"libs": [],
|
||||
"threads": [{
|
||||
"name": "main",
|
||||
"pid": "1",
|
||||
"tid": 1,
|
||||
"stringArray": list(strings),
|
||||
"funcTable": {
|
||||
"name": list(range(len(strings))),
|
||||
"isJS": [False] * len(strings),
|
||||
"relevantForJS": [False] * len(strings),
|
||||
"resource": [-1] * len(strings),
|
||||
"fileName": [None] * len(strings),
|
||||
"lineNumber": [None] * len(strings),
|
||||
"columnNumber": [None] * len(strings),
|
||||
"length": len(strings),
|
||||
},
|
||||
"frameTable": {"length": 0},
|
||||
"stackTable": {"length": 0},
|
||||
"samples": {"length": 0},
|
||||
"markers": {"length": 0},
|
||||
"resourceTable": {"length": 0},
|
||||
"nativeSymbols": {"length": 0},
|
||||
}],
|
||||
"pages": [],
|
||||
"counters": [],
|
||||
}
|
||||
|
||||
def test_profile_rewrite_shared(self):
|
||||
from lean_demangle_profile import rewrite_profile
|
||||
strings = [
|
||||
"l_Lean_Meta_Sym_main",
|
||||
"printf",
|
||||
"lean_apply_5",
|
||||
"l___private_Lean_Meta_Basic_0__Lean_Meta_foo",
|
||||
]
|
||||
profile = self._make_profile_shared(strings)
|
||||
rewrite_profile(profile)
|
||||
sa = profile["shared"]["stringArray"]
|
||||
self.assertEqual(sa[0], "Lean.Meta.Sym.main")
|
||||
self.assertEqual(sa[1], "printf")
|
||||
self.assertEqual(sa[2], "<apply/5>")
|
||||
self.assertEqual(sa[3], "Lean.Meta.foo [private]")
|
||||
|
||||
def test_profile_rewrite_per_thread(self):
|
||||
from lean_demangle_profile import rewrite_profile
|
||||
strings = [
|
||||
"l_Lean_Meta_Sym_main",
|
||||
"printf",
|
||||
"lean_apply_5",
|
||||
"l___private_Lean_Meta_Basic_0__Lean_Meta_foo",
|
||||
]
|
||||
profile = self._make_profile_per_thread(strings)
|
||||
count = rewrite_profile(profile)
|
||||
sa = profile["threads"][0]["stringArray"]
|
||||
self.assertEqual(sa[0], "Lean.Meta.Sym.main")
|
||||
self.assertEqual(sa[1], "printf")
|
||||
self.assertEqual(sa[2], "<apply/5>")
|
||||
self.assertEqual(sa[3], "Lean.Meta.foo [private]")
|
||||
self.assertEqual(count, 3)
|
||||
|
||||
def test_profile_json_roundtrip(self):
|
||||
from lean_demangle_profile import process_profile_file
|
||||
strings = ["l_Lean_Meta_main", "malloc"]
|
||||
profile = self._make_profile_shared(strings)
|
||||
|
||||
with tempfile.NamedTemporaryFile(mode='w', suffix='.json',
|
||||
delete=False) as f:
|
||||
json.dump(profile, f)
|
||||
inpath = f.name
|
||||
|
||||
outpath = inpath.replace('.json', '-demangled.json')
|
||||
try:
|
||||
process_profile_file(inpath, outpath)
|
||||
with open(outpath) as f:
|
||||
result = json.load(f)
|
||||
self.assertEqual(result["shared"]["stringArray"][0],
|
||||
"Lean.Meta.main")
|
||||
self.assertEqual(result["shared"]["stringArray"][1], "malloc")
|
||||
finally:
|
||||
os.unlink(inpath)
|
||||
if os.path.exists(outpath):
|
||||
os.unlink(outpath)
|
||||
|
||||
def test_profile_gzip_roundtrip(self):
|
||||
from lean_demangle_profile import process_profile_file
|
||||
strings = ["l_Lean_Meta_main", "malloc"]
|
||||
profile = self._make_profile_shared(strings)
|
||||
|
||||
with tempfile.NamedTemporaryFile(suffix='.json.gz',
|
||||
delete=False) as f:
|
||||
with gzip.open(f, 'wt') as gz:
|
||||
json.dump(profile, gz)
|
||||
inpath = f.name
|
||||
|
||||
outpath = inpath.replace('.json.gz', '-demangled.json.gz')
|
||||
try:
|
||||
process_profile_file(inpath, outpath)
|
||||
with gzip.open(outpath, 'rt') as f:
|
||||
result = json.load(f)
|
||||
self.assertEqual(result["shared"]["stringArray"][0],
|
||||
"Lean.Meta.main")
|
||||
finally:
|
||||
os.unlink(inpath)
|
||||
if os.path.exists(outpath):
|
||||
os.unlink(outpath)
|
||||
|
||||
|
||||
if __name__ == '__main__':
|
||||
unittest.main()
|
||||
@@ -1014,7 +1014,7 @@ def main():
|
||||
version_minor_correct = False
|
||||
|
||||
is_release_correct = any(
|
||||
l.strip().startswith("set(LEAN_VERSION_IS_RELEASE 0)")
|
||||
re.match(r'set\(LEAN_VERSION_IS_RELEASE\s+0[\s)]', l.strip())
|
||||
for l in cmake_lines
|
||||
)
|
||||
|
||||
|
||||
@@ -87,6 +87,8 @@ option(USE_GITHASH "GIT_HASH" ON)
|
||||
option(INSTALL_LICENSE "INSTALL_LICENSE" ON)
|
||||
# When ON we install a copy of cadical
|
||||
option(INSTALL_CADICAL "Install a copy of cadical" ON)
|
||||
# When ON we install a copy of leantar
|
||||
option(INSTALL_LEANTAR "Install a copy of leantar" ON)
|
||||
|
||||
# FLAGS for disabling optimizations and debugging
|
||||
option(FREE_VAR_RANGE_OPT "FREE_VAR_RANGE_OPT" ON)
|
||||
@@ -757,6 +759,14 @@ if(STAGE GREATER 0 AND CADICAL AND INSTALL_CADICAL)
|
||||
add_dependencies(leancpp copy-cadical)
|
||||
endif()
|
||||
|
||||
if(STAGE GREATER 0 AND LEANTAR AND INSTALL_LEANTAR)
|
||||
add_custom_target(
|
||||
copy-leantar
|
||||
COMMAND cmake -E copy_if_different "${LEANTAR}" "${CMAKE_BINARY_DIR}/bin/leantar${CMAKE_EXECUTABLE_SUFFIX}"
|
||||
)
|
||||
add_dependencies(leancpp copy-leantar)
|
||||
endif()
|
||||
|
||||
# MSYS2 bash usually handles Windows paths relatively well, but not when putting them in the PATH
|
||||
string(REGEX REPLACE "^([a-zA-Z]):" "/\\1" LEAN_BIN "${CMAKE_BINARY_DIR}/bin")
|
||||
|
||||
@@ -913,6 +923,10 @@ if(STAGE GREATER 0 AND CADICAL AND INSTALL_CADICAL)
|
||||
install(PROGRAMS "${CADICAL}" DESTINATION bin)
|
||||
endif()
|
||||
|
||||
if(STAGE GREATER 0 AND LEANTAR AND INSTALL_LEANTAR)
|
||||
install(PROGRAMS "${LEANTAR}" DESTINATION bin)
|
||||
endif()
|
||||
|
||||
add_custom_target(
|
||||
clean-stdlib
|
||||
COMMAND rm -rf "${CMAKE_BINARY_DIR}/lib" || true
|
||||
|
||||
@@ -30,6 +30,7 @@ public import Init.Hints
|
||||
public import Init.Conv
|
||||
public import Init.Guard
|
||||
public import Init.Simproc
|
||||
public import Init.CbvSimproc
|
||||
public import Init.SizeOfLemmas
|
||||
public import Init.BinderPredicates
|
||||
public import Init.Ext
|
||||
|
||||
71
src/Init/CbvSimproc.lean
Normal file
71
src/Init/CbvSimproc.lean
Normal file
@@ -0,0 +1,71 @@
|
||||
/-
|
||||
Copyright (c) 2026 Lean FRO, LLC. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Wojciech Różowski
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
public meta import Init.Data.ToString.Name -- shake: keep (transitive public meta dep, fix)
|
||||
public import Init.Tactics
|
||||
import Init.Meta.Defs
|
||||
|
||||
public section
|
||||
|
||||
namespace Lean.Parser
|
||||
|
||||
syntax cbvSimprocEval := "cbv_eval"
|
||||
|
||||
/--
|
||||
A user-defined simplification procedure used by the `cbv` tactic.
|
||||
The body must have type `Lean.Meta.Sym.Simp.Simproc` (`Expr → SimpM Result`).
|
||||
Procedures are indexed by a discrimination tree pattern and fire at one of three phases:
|
||||
`↓` (pre), `cbv_eval` (eval), or `↑` (post, default).
|
||||
-/
|
||||
syntax (docComment)? attrKind "cbv_simproc " (Tactic.simpPre <|> Tactic.simpPost <|> cbvSimprocEval)? ident " (" term ")" " := " term : command
|
||||
|
||||
/--
|
||||
A `cbv_simproc` declaration without automatically adding it to the cbv simproc set.
|
||||
To activate, use `attribute [cbv_simproc]`.
|
||||
-/
|
||||
syntax (docComment)? "cbv_simproc_decl " ident " (" term ")" " := " term : command
|
||||
|
||||
syntax (docComment)? attrKind "builtin_cbv_simproc " (Tactic.simpPre <|> Tactic.simpPost <|> cbvSimprocEval)? ident " (" term ")" " := " term : command
|
||||
|
||||
syntax (docComment)? "builtin_cbv_simproc_decl " ident " (" term ")" " := " term : command
|
||||
|
||||
syntax (name := cbvSimprocPattern) "cbv_simproc_pattern% " term " => " ident : command
|
||||
|
||||
syntax (name := cbvSimprocPatternBuiltin) "builtin_cbv_simproc_pattern% " term " => " ident : command
|
||||
|
||||
namespace Attr
|
||||
|
||||
syntax (name := cbvSimprocAttr) "cbv_simproc" (Tactic.simpPre <|> Tactic.simpPost <|> cbvSimprocEval)? : attr
|
||||
|
||||
syntax (name := cbvSimprocBuiltinAttr) "builtin_cbv_simproc" (Tactic.simpPre <|> Tactic.simpPost <|> cbvSimprocEval)? : attr
|
||||
|
||||
end Attr
|
||||
|
||||
macro_rules
|
||||
| `($[$doc?:docComment]? cbv_simproc_decl $n:ident ($pattern:term) := $body) => do
|
||||
let simprocType := `Lean.Meta.Sym.Simp.Simproc
|
||||
`($[$doc?:docComment]? meta def $n:ident : $(mkIdent simprocType) := $body
|
||||
cbv_simproc_pattern% $pattern => $n)
|
||||
|
||||
macro_rules
|
||||
| `($[$doc?:docComment]? builtin_cbv_simproc_decl $n:ident ($pattern:term) := $body) => do
|
||||
let simprocType := `Lean.Meta.Sym.Simp.Simproc
|
||||
`($[$doc?:docComment]? def $n:ident : $(mkIdent simprocType) := $body
|
||||
builtin_cbv_simproc_pattern% $pattern => $n)
|
||||
|
||||
macro_rules
|
||||
| `($[$doc?:docComment]? $kind:attrKind cbv_simproc $[$phase?]? $n:ident ($pattern:term) := $body) => do
|
||||
`($[$doc?:docComment]? cbv_simproc_decl $n ($pattern) := $body
|
||||
attribute [$kind cbv_simproc $[$phase?]?] $n)
|
||||
|
||||
macro_rules
|
||||
| `($[$doc?:docComment]? $kind:attrKind builtin_cbv_simproc $[$phase?]? $n:ident ($pattern:term) := $body) => do
|
||||
`($[$doc?:docComment]? builtin_cbv_simproc_decl $n ($pattern) := $body
|
||||
attribute [$kind builtin_cbv_simproc $[$phase?]?] $n)
|
||||
|
||||
end Lean.Parser
|
||||
@@ -69,9 +69,11 @@ theorem em (p : Prop) : p ∨ ¬p :=
|
||||
theorem exists_true_of_nonempty {α : Sort u} : Nonempty α → ∃ _ : α, True
|
||||
| ⟨x⟩ => ⟨x, trivial⟩
|
||||
|
||||
@[implicit_reducible]
|
||||
noncomputable def inhabited_of_nonempty {α : Sort u} (h : Nonempty α) : Inhabited α :=
|
||||
⟨choice h⟩
|
||||
|
||||
@[implicit_reducible]
|
||||
noncomputable def inhabited_of_exists {α : Sort u} {p : α → Prop} (h : ∃ x, p x) : Inhabited α :=
|
||||
inhabited_of_nonempty (Exists.elim h (fun w _ => ⟨w⟩))
|
||||
|
||||
@@ -81,6 +83,7 @@ noncomputable scoped instance (priority := low) propDecidable (a : Prop) : Decid
|
||||
| Or.inl h => ⟨isTrue h⟩
|
||||
| Or.inr h => ⟨isFalse h⟩
|
||||
|
||||
@[implicit_reducible]
|
||||
noncomputable def decidableInhabited (a : Prop) : Inhabited (Decidable a) where
|
||||
default := inferInstance
|
||||
|
||||
|
||||
@@ -18,3 +18,4 @@ public import Init.Control.StateCps
|
||||
public import Init.Control.ExceptCps
|
||||
public import Init.Control.MonadAttach
|
||||
public import Init.Control.EState
|
||||
public import Init.Control.Do
|
||||
|
||||
@@ -49,6 +49,7 @@ instance : Monad Id where
|
||||
/--
|
||||
The identity monad has a `bind` operator.
|
||||
-/
|
||||
@[implicit_reducible]
|
||||
def hasBind : Bind Id :=
|
||||
inferInstance
|
||||
|
||||
@@ -58,7 +59,7 @@ Runs a computation in the identity monad.
|
||||
This function is the identity function. Because its parameter has type `Id α`, it causes
|
||||
`do`-notation in its arguments to use the `Monad Id` instance.
|
||||
-/
|
||||
@[always_inline, inline, expose]
|
||||
@[always_inline, inline, expose, implicit_reducible]
|
||||
protected def run (x : Id α) : α := x
|
||||
|
||||
instance [OfNat α n] : OfNat (Id α) n :=
|
||||
|
||||
@@ -280,7 +280,7 @@ resulting in `t'`, which becomes the new target subgoal. -/
|
||||
syntax (name := convConvSeq) "conv" " => " convSeq : conv
|
||||
|
||||
/-- `· conv` focuses on the main conv goal and tries to solve it using `s`. -/
|
||||
macro dot:patternIgnore("· " <|> ". ") s:convSeq : conv => `(conv| {%$dot ($s) })
|
||||
macro dot:unicode("· ", ". ") s:convSeq : conv => `(conv| {%$dot ($s) })
|
||||
|
||||
|
||||
/-- `fail_if_success t` fails if the tactic `t` succeeds. -/
|
||||
|
||||
@@ -34,3 +34,4 @@ public import Init.Data.Array.MinMax
|
||||
public import Init.Data.Array.Nat
|
||||
public import Init.Data.Array.Int
|
||||
public import Init.Data.Array.Count
|
||||
public import Init.Data.Array.Sort
|
||||
|
||||
@@ -148,6 +148,9 @@ end List
|
||||
|
||||
namespace Array
|
||||
|
||||
@[simp, grind =] theorem getElem!_toList [Inhabited α] {xs : Array α} {i : Nat} : xs.toList[i]! = xs[i]! := by
|
||||
rw [List.getElem!_toArray]
|
||||
|
||||
theorem size_eq_length_toList {xs : Array α} : xs.size = xs.toList.length := rfl
|
||||
|
||||
/-! ### Externs -/
|
||||
@@ -2148,7 +2151,4 @@ protected def repr {α : Type u} [Repr α] (xs : Array α) : Std.Format :=
|
||||
instance {α : Type u} [Repr α] : Repr (Array α) where
|
||||
reprPrec xs _ := Array.repr xs
|
||||
|
||||
instance [ToString α] : ToString (Array α) where
|
||||
toString xs := String.Internal.append "#" (toString xs.toList)
|
||||
|
||||
end Array
|
||||
|
||||
@@ -78,7 +78,7 @@ private theorem cons_lex_cons [BEq α] {lt : α → α → Bool} {a b : α} {xs
|
||||
simp only [lex, size_append, List.size_toArray, List.length_cons, List.length_nil, Nat.zero_add,
|
||||
Nat.add_min_add_left, Nat.add_lt_add_iff_left, Std.Rco.forIn'_eq_forIn'_toList]
|
||||
rw [cons_lex_cons.forIn'_congr_aux (Nat.toList_rco_eq_cons (by omega)) rfl (fun _ _ _ => rfl)]
|
||||
simp only [bind_pure_comp, map_pure, Nat.toList_rco_succ_succ, Nat.add_comm 1]
|
||||
simp only [Nat.toList_rco_succ_succ, Nat.add_comm 1]
|
||||
cases h : lt a b
|
||||
· cases h' : a == b <;> simp [bne, *]
|
||||
· simp [*]
|
||||
|
||||
10
src/Init/Data/Array/Sort.lean
Normal file
10
src/Init/Data/Array/Sort.lean
Normal file
@@ -0,0 +1,10 @@
|
||||
/-
|
||||
Copyright (c) 2026 Lean FRO. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Paul Reichert
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Array.Sort.Basic
|
||||
public import Init.Data.Array.Sort.Lemmas
|
||||
55
src/Init/Data/Array/Sort/Basic.lean
Normal file
55
src/Init/Data/Array/Sort/Basic.lean
Normal file
@@ -0,0 +1,55 @@
|
||||
/-
|
||||
Copyright (c) 2026 Lean FRO. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Paul Reichert
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Array.Subarray.Split
|
||||
public import Init.Data.Slice.Array
|
||||
import Init.Omega
|
||||
|
||||
public section
|
||||
|
||||
private def Array.MergeSort.Internal.merge (xs ys : Array α) (le : α → α → Bool := by exact (· ≤ ·)) :
|
||||
Array α :=
|
||||
if hxs : 0 < xs.size then
|
||||
if hys : 0 < ys.size then
|
||||
go xs[*...*] ys[*...*] (by simp only [Array.size_mkSlice_rii]; omega) (by simp only [Array.size_mkSlice_rii]; omega) (Array.emptyWithCapacity (xs.size + ys.size))
|
||||
else
|
||||
xs
|
||||
else
|
||||
ys
|
||||
where
|
||||
go (xs ys : Subarray α) (hxs : 0 < xs.size) (hys : 0 < ys.size) (acc : Array α) : Array α :=
|
||||
let x := xs[0]
|
||||
let y := ys[0]
|
||||
if le x y then
|
||||
if hi : 1 < xs.size then
|
||||
go (xs.drop 1) ys (by simp only [Subarray.size_drop]; omega) hys (acc.push x)
|
||||
else
|
||||
ys.foldl (init := acc.push x) (fun acc y => acc.push y)
|
||||
else
|
||||
if hj : 1 < ys.size then
|
||||
go xs (ys.drop 1) hxs (by simp only [Subarray.size_drop]; omega) (acc.push y)
|
||||
else
|
||||
xs.foldl (init := acc.push y) (fun acc x => acc.push x)
|
||||
termination_by xs.size + ys.size
|
||||
|
||||
def Subarray.mergeSort (xs : Subarray α) (le : α → α → Bool := by exact (· ≤ ·)) : Array α :=
|
||||
if h : 1 < xs.size then
|
||||
let splitIdx := (xs.size + 1) / 2 -- We follow the same splitting convention as `List.mergeSort`
|
||||
let left := xs[*...splitIdx]
|
||||
let right := xs[splitIdx...*]
|
||||
Array.MergeSort.Internal.merge (mergeSort left le) (mergeSort right le) le
|
||||
else
|
||||
xs.toArray
|
||||
termination_by xs.size
|
||||
decreasing_by
|
||||
· simp only [Subarray.size_mkSlice_rio]; omega
|
||||
· simp only [Subarray.size_mkSlice_rci]; omega
|
||||
|
||||
@[inline]
|
||||
def Array.mergeSort (xs : Array α) (le : α → α → Bool := by exact (· ≤ ·)) : Array α :=
|
||||
xs[*...*].mergeSort le
|
||||
240
src/Init/Data/Array/Sort/Lemmas.lean
Normal file
240
src/Init/Data/Array/Sort/Lemmas.lean
Normal file
@@ -0,0 +1,240 @@
|
||||
/-
|
||||
Copyright (c) 2026 Lean FRO. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Paul Reichert
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Array.Sort.Basic
|
||||
public import Init.Data.List.Sort.Basic
|
||||
public import Init.Data.Array.Perm
|
||||
import all Init.Data.Array.Sort.Basic
|
||||
import all Init.Data.List.Sort.Basic
|
||||
import Init.Data.List.Sort.Lemmas
|
||||
import Init.Data.Slice.Array.Lemmas
|
||||
import Init.Data.Slice.List.Lemmas
|
||||
import Init.Data.Array.Bootstrap
|
||||
import Init.Data.Array.Lemmas
|
||||
import Init.Data.Array.MapIdx
|
||||
import Init.ByCases
|
||||
|
||||
public section
|
||||
|
||||
private theorem Array.MergeSort.merge.go_eq_listMerge {xs ys : Subarray α} {hxs hys le acc} :
|
||||
(Array.MergeSort.Internal.merge.go le xs ys hxs hys acc).toList = acc.toList ++ List.merge xs.toList ys.toList le := by
|
||||
fun_induction Array.MergeSort.Internal.merge.go le xs ys hxs hys acc
|
||||
· rename_i xs ys _ _ _ _ _ _ _ _
|
||||
rw [List.merge.eq_def]
|
||||
split
|
||||
· have : xs.size = 0 := by simp [← Subarray.length_toList, *]
|
||||
omega
|
||||
· have : ys.size = 0 := by simp [← Subarray.length_toList, *]
|
||||
omega
|
||||
· rename_i x' xs' y' ys' _ _
|
||||
simp +zetaDelta only at *
|
||||
have h₁ : x' = xs[0] := by simp [Subarray.getElem_eq_getElem_toList, *]
|
||||
have h₂ : y' = ys[0] := by simp [Subarray.getElem_eq_getElem_toList, *]
|
||||
cases h₁
|
||||
cases h₂
|
||||
simp [Subarray.toList_drop, *]
|
||||
· rename_i xs ys _ _ _ _ _ _ _
|
||||
rw [List.merge.eq_def]
|
||||
split
|
||||
· have : xs.size = 0 := by simp [← Subarray.length_toList, *]
|
||||
omega
|
||||
· have : ys.size = 0 := by simp [← Subarray.length_toList, *]
|
||||
omega
|
||||
· rename_i x' xs' y' ys' _ _
|
||||
simp +zetaDelta only at *
|
||||
have h₁ : x' = xs[0] := by simp [Subarray.getElem_eq_getElem_toList, *]
|
||||
have h₂ : y' = ys[0] := by simp [Subarray.getElem_eq_getElem_toList, *]
|
||||
cases h₁
|
||||
cases h₂
|
||||
simp [*]
|
||||
have : xs.size = xs'.length + 1 := by simp [← Subarray.length_toList, *]
|
||||
have : xs' = [] := List.eq_nil_of_length_eq_zero (by omega)
|
||||
simp only [this]
|
||||
rw [← Subarray.foldl_toList]
|
||||
simp [*]
|
||||
· rename_i xs ys _ _ _ _ _ _ _ _
|
||||
rw [List.merge.eq_def]
|
||||
split
|
||||
· have : xs.size = 0 := by simp [← Subarray.length_toList, *]
|
||||
omega
|
||||
· have : ys.size = 0 := by simp [← Subarray.length_toList, *]
|
||||
omega
|
||||
· rename_i x' xs' y' ys' _ _
|
||||
simp +zetaDelta only at *
|
||||
have h₁ : x' = xs[0] := by simp [Subarray.getElem_eq_getElem_toList, *]
|
||||
have h₂ : y' = ys[0] := by simp [Subarray.getElem_eq_getElem_toList, *]
|
||||
cases h₁
|
||||
cases h₂
|
||||
simp [Subarray.toList_drop, *]
|
||||
· rename_i xs ys _ _ _ _ _ _ _
|
||||
rw [List.merge.eq_def]
|
||||
split
|
||||
· have : xs.size = 0 := by simp [← Subarray.length_toList, *]
|
||||
omega
|
||||
· have : ys.size = 0 := by simp [← Subarray.length_toList, *]
|
||||
omega
|
||||
· rename_i x' xs' y' ys' _ _
|
||||
simp +zetaDelta only at *
|
||||
have h₁ : x' = xs[0] := by simp [Subarray.getElem_eq_getElem_toList, *]
|
||||
have h₂ : y' = ys[0] := by simp [Subarray.getElem_eq_getElem_toList, *]
|
||||
cases h₁
|
||||
cases h₂
|
||||
simp [*]
|
||||
have : ys.size = ys'.length + 1 := by simp [← Subarray.length_toList, *]
|
||||
have : ys' = [] := List.eq_nil_of_length_eq_zero (by omega)
|
||||
simp [this]
|
||||
rw [← Subarray.foldl_toList]
|
||||
simp [*]
|
||||
|
||||
private theorem Array.MergeSort.merge_eq_listMerge {xs ys : Array α} {le} :
|
||||
(Array.MergeSort.Internal.merge xs ys le).toList = List.merge xs.toList ys.toList le := by
|
||||
rw [Array.MergeSort.Internal.merge]
|
||||
split <;> rename_i heq₁
|
||||
· split <;> rename_i heq₂
|
||||
· simp [Array.MergeSort.merge.go_eq_listMerge]
|
||||
· have : ys.toList = [] := by simp_all
|
||||
simp [this]
|
||||
· have : xs.toList = [] := by simp_all
|
||||
simp [this]
|
||||
|
||||
private theorem List.mergeSort_eq_merge_mkSlice {xs : List α} :
|
||||
xs.mergeSort le =
|
||||
if 1 < xs.length then
|
||||
merge (xs[*...((xs.length + 1) / 2)].toList.mergeSort le) (xs[((xs.length + 1) / 2)...*].toList.mergeSort le) le
|
||||
else
|
||||
xs := by
|
||||
fun_cases xs.mergeSort le
|
||||
· simp
|
||||
· simp
|
||||
· rename_i x y ys lr hl hr
|
||||
simp [lr]
|
||||
|
||||
theorem Subarray.toList_mergeSort {xs : Subarray α} {le : α → α → Bool} :
|
||||
(xs.mergeSort le).toList = xs.toList.mergeSort le := by
|
||||
fun_induction xs.mergeSort le
|
||||
· rw [List.mergeSort_eq_merge_mkSlice]
|
||||
simp +zetaDelta [Array.MergeSort.merge_eq_listMerge, *]
|
||||
· simp [List.mergeSort_eq_merge_mkSlice, *]
|
||||
|
||||
@[simp, grind =]
|
||||
theorem Subarray.mergeSort_eq_mergeSort_toArray {xs : Subarray α} {le : α → α → Bool} :
|
||||
xs.mergeSort le = xs.toArray.mergeSort le := by
|
||||
simp [← Array.toList_inj, toList_mergeSort, Array.mergeSort]
|
||||
|
||||
theorem Subarray.mergeSort_toArray {xs : Subarray α} {le : α → α → Bool} :
|
||||
xs.toArray.mergeSort le = xs.mergeSort le := by
|
||||
simp
|
||||
|
||||
theorem Array.toList_mergeSort {xs : Array α} {le : α → α → Bool} :
|
||||
(xs.mergeSort le).toList = xs.toList.mergeSort le := by
|
||||
rw [Array.mergeSort, Subarray.toList_mergeSort, Array.toList_mkSlice_rii]
|
||||
|
||||
theorem Array.mergeSort_eq_toArray_mergeSort_toList {xs : Array α} {le : α → α → Bool} :
|
||||
xs.mergeSort le = (xs.toList.mergeSort le).toArray := by
|
||||
simp [← toList_mergeSort]
|
||||
|
||||
/-!
|
||||
# Basic properties of `Array.mergeSort`.
|
||||
|
||||
* `pairwise_mergeSort`: `mergeSort` produces a sorted array.
|
||||
* `mergeSort_perm`: `mergeSort` is a permutation of the input array.
|
||||
* `mergeSort_of_pairwise`: `mergeSort` does not change a sorted array.
|
||||
* `sublist_mergeSort`: if `c` is a sorted sublist of `l`, then `c` is still a sublist of `mergeSort le l`.
|
||||
-/
|
||||
|
||||
namespace Array
|
||||
|
||||
-- Enable this instance locally so we can write `Pairwise le` instead of `Pairwise (le · ·)` everywhere.
|
||||
attribute [local instance] boolRelToRel
|
||||
|
||||
@[simp] theorem mergeSort_empty : (#[] : Array α).mergeSort r = #[] := by
|
||||
simp [mergeSort_eq_toArray_mergeSort_toList]
|
||||
|
||||
@[simp] theorem mergeSort_singleton {a : α} : #[a].mergeSort r = #[a] := by
|
||||
simp [mergeSort_eq_toArray_mergeSort_toList]
|
||||
|
||||
theorem mergeSort_perm {xs : Array α} {le} : (xs.mergeSort le).Perm xs := by
|
||||
simpa [mergeSort_eq_toArray_mergeSort_toList, Array.perm_iff_toList_perm] using List.mergeSort_perm _ _
|
||||
|
||||
@[simp] theorem size_mergeSort {xs : Array α} : (mergeSort xs le).size = xs.size := by
|
||||
simp [mergeSort_eq_toArray_mergeSort_toList]
|
||||
|
||||
@[simp] theorem mem_mergeSort {a : α} {xs : Array α} : a ∈ mergeSort xs le ↔ a ∈ xs := by
|
||||
simp [mergeSort_eq_toArray_mergeSort_toList]
|
||||
|
||||
/--
|
||||
The result of `Array.mergeSort` is sorted,
|
||||
as long as the comparison function is transitive (`le a b → le b c → le a c`)
|
||||
and total in the sense that `le a b || le b a`.
|
||||
|
||||
The comparison function need not be irreflexive, i.e. `le a b` and `le b a` is allowed even when `a ≠ b`.
|
||||
-/
|
||||
theorem pairwise_mergeSort
|
||||
(trans : ∀ (a b c : α), le a b → le b c → le a c)
|
||||
(total : ∀ (a b : α), le a b || le b a)
|
||||
{xs : Array α} :
|
||||
(mergeSort xs le).toList.Pairwise (le · ·) := by
|
||||
simpa [mergeSort_eq_toArray_mergeSort_toList] using List.pairwise_mergeSort trans total _
|
||||
|
||||
/--
|
||||
If the input array is already sorted, then `mergeSort` does not change the array.
|
||||
-/
|
||||
theorem mergeSort_of_pairwise {le : α → α → Bool} {xs : Array α} (_ : xs.toList.Pairwise (le · ·)) :
|
||||
mergeSort xs le = xs := by
|
||||
simpa [mergeSort_eq_toArray_mergeSort_toList, List.toArray_eq_iff] using List.mergeSort_of_pairwise ‹_›
|
||||
|
||||
/--
|
||||
This merge sort algorithm is stable,
|
||||
in the sense that breaking ties in the ordering function using the position in the array
|
||||
has no effect on the output.
|
||||
|
||||
That is, elements which are equal with respect to the ordering function will remain
|
||||
in the same order in the output array as they were in the input array.
|
||||
|
||||
See also:
|
||||
* `sublist_mergeSort`: if `c <+ l` and `c.Pairwise le`, then `c <+ (mergeSort le l).toList`.
|
||||
* `pair_sublist_mergeSort`: if `[a, b] <+ l` and `le a b`, then `[a, b] <+ (mergeSort le l).toList`)
|
||||
-/
|
||||
theorem mergeSort_zipIdx {xs : Array α} :
|
||||
(mergeSort (xs.zipIdx.map fun (a, i) => (a, i)) (List.zipIdxLE le)).map (·.1) = mergeSort xs le := by
|
||||
simpa [mergeSort_eq_toArray_mergeSort_toList, Array.toList_zipIdx] using List.mergeSort_zipIdx
|
||||
|
||||
/--
|
||||
Another statement of stability of merge sort.
|
||||
If `c` is a sorted sublist of `xs.toList`,
|
||||
then `c` is still a sublist of `(mergeSort le xs).toList`.
|
||||
-/
|
||||
theorem sublist_mergeSort {le : α → α → Bool}
|
||||
(trans : ∀ (a b c : α), le a b → le b c → le a c)
|
||||
(total : ∀ (a b : α), le a b || le b a)
|
||||
{ys : List α} (_ : ys.Pairwise (le · ·)) (_ : List.Sublist ys xs.toList) :
|
||||
List.Sublist ys (mergeSort xs le).toList := by
|
||||
simpa [mergeSort_eq_toArray_mergeSort_toList, Array.toList_zipIdx] using
|
||||
List.sublist_mergeSort trans total ‹_› ‹_›
|
||||
|
||||
/--
|
||||
Another statement of stability of merge sort.
|
||||
If a pair `[a, b]` is a sublist of `xs.toList` and `le a b`,
|
||||
then `[a, b]` is still a sublist of `(mergeSort le xs).toList`.
|
||||
-/
|
||||
theorem pair_sublist_mergeSort
|
||||
(trans : ∀ (a b c : α), le a b → le b c → le a c)
|
||||
(total : ∀ (a b : α), le a b || le b a)
|
||||
(hab : le a b) (h : List.Sublist [a, b] xs.toList) :
|
||||
List.Sublist [a, b] (mergeSort xs le).toList := by
|
||||
simpa [mergeSort_eq_toArray_mergeSort_toList, Array.toList_zipIdx] using
|
||||
List.pair_sublist_mergeSort trans total ‹_› ‹_›
|
||||
|
||||
theorem map_mergeSort {r : α → α → Bool} {s : β → β → Bool} {f : α → β}
|
||||
{xs : Array α} (hxs : ∀ a ∈ xs, ∀ b ∈ xs, r a b = s (f a) (f b)) :
|
||||
(xs.mergeSort r).map f = (xs.map f).mergeSort s := by
|
||||
simp only [mergeSort_eq_toArray_mergeSort_toList, List.map_toArray, toList_map, mk.injEq]
|
||||
apply List.map_mergeSort
|
||||
simpa
|
||||
|
||||
end Array
|
||||
@@ -629,6 +629,7 @@ export Bool (cond_eq_if cond_eq_ite xor and or not)
|
||||
This should not be turned on globally as an instance because it degrades performance in Mathlib,
|
||||
but may be used locally.
|
||||
-/
|
||||
@[implicit_reducible]
|
||||
def boolPredToPred : Coe (α → Bool) (α → Prop) where
|
||||
coe r := fun a => Eq (r a) true
|
||||
|
||||
|
||||
@@ -469,5 +469,3 @@ def prevn : Iterator → Nat → Iterator
|
||||
|
||||
end Iterator
|
||||
end ByteArray
|
||||
|
||||
instance : ToString ByteArray := ⟨fun bs => bs.toList.toString⟩
|
||||
|
||||
@@ -129,6 +129,14 @@ The ASCII digits are the following: `0123456789`.
|
||||
@[inline] def isDigit (c : Char) : Bool :=
|
||||
c.val ≥ '0'.val && c.val ≤ '9'.val
|
||||
|
||||
/--
|
||||
Returns `true` if the character is an ASCII hexadecimal digit.
|
||||
|
||||
The ASCII hexadecimal digits are the following: `0123456789abcdefABCDEF`.
|
||||
-/
|
||||
@[inline] def isHexDigit (c : Char) : Bool :=
|
||||
c.isDigit || (c.val ≥ 'a'.val && c.val ≤ 'f'.val) || (c.val ≥ 'A'.val && c.val ≤ 'F'.val)
|
||||
|
||||
/--
|
||||
Returns `true` if the character is an ASCII letter or digit.
|
||||
|
||||
|
||||
@@ -62,7 +62,7 @@ instance ltTrichotomous : Std.Trichotomous (· < · : Char → Char → Prop) wh
|
||||
trichotomous _ _ h₁ h₂ := Char.le_antisymm (by simpa using h₂) (by simpa using h₁)
|
||||
|
||||
@[deprecated ltTrichotomous (since := "2025-10-27")]
|
||||
def notLTAntisymm : Std.Antisymm (¬ · < · : Char → Char → Prop) where
|
||||
theorem notLTAntisymm : Std.Antisymm (¬ · < · : Char → Char → Prop) where
|
||||
antisymm := Char.ltTrichotomous.trichotomous
|
||||
|
||||
instance ltAsymm : Std.Asymm (· < · : Char → Char → Prop) where
|
||||
@@ -73,7 +73,7 @@ instance leTotal : Std.Total (· ≤ · : Char → Char → Prop) where
|
||||
|
||||
-- This instance is useful while setting up instances for `String`.
|
||||
@[deprecated ltAsymm (since := "2025-08-01")]
|
||||
def notLTTotal : Std.Total (¬ · < · : Char → Char → Prop) where
|
||||
theorem notLTTotal : Std.Total (¬ · < · : Char → Char → Prop) where
|
||||
total := fun x y => by simpa using Char.le_total y x
|
||||
|
||||
@[simp] theorem ofNat_toNat (c : Char) : Char.ofNat c.toNat = c := by
|
||||
|
||||
@@ -9,6 +9,7 @@ prelude
|
||||
public import Init.Data.Float
|
||||
import Init.Ext
|
||||
public import Init.GetElem
|
||||
public import Init.Data.ToString.Extra
|
||||
|
||||
public section
|
||||
universe u
|
||||
|
||||
@@ -6,6 +6,7 @@ Authors: Paul Reichert
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Iterators.Combinators.Append
|
||||
public import Init.Data.Iterators.Combinators.Monadic
|
||||
public import Init.Data.Iterators.Combinators.FilterMap
|
||||
public import Init.Data.Iterators.Combinators.FlatMap
|
||||
|
||||
79
src/Init/Data/Iterators/Combinators/Append.lean
Normal file
79
src/Init/Data/Iterators/Combinators/Append.lean
Normal file
@@ -0,0 +1,79 @@
|
||||
/-
|
||||
Copyright (c) 2026 Lean FRO, LLC. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Paul Reichert
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Iterators.Combinators.Monadic.Append
|
||||
|
||||
public section
|
||||
|
||||
namespace Std
|
||||
open Std.Iterators Std.Iterators.Types
|
||||
|
||||
/--
|
||||
Given two iterators `it₁` and `it₂`, `it₁.append it₂` is an iterator that first outputs all values
|
||||
of `it₁` in order and then all values of `it₂` in order.
|
||||
|
||||
**Marble diagram:**
|
||||
|
||||
```text
|
||||
it₁ ---a----b---c--⊥
|
||||
it₂ --d--e--⊥
|
||||
it₁.append it₂ ---a----b---c-----d--e--⊥
|
||||
```
|
||||
|
||||
**Termination properties:**
|
||||
|
||||
* `Finite` instance: only if `it₁` and `it₂` are finite
|
||||
* `Productive` instance: only if `it₁` and `it₂` are productive
|
||||
|
||||
Note: If `it₁` is not finite, then `it₁.append it₂` can be productive while `it₂` is not.
|
||||
The standard library does not provide a `Productive` instance for this case.
|
||||
|
||||
**Performance:**
|
||||
|
||||
This combinator incurs an additional O(1) cost with each output of `it₁` and `it₂`.
|
||||
-/
|
||||
@[inline, expose]
|
||||
def Iter.append {α₁ : Type w} {α₂ : Type w} {β : Type w}
|
||||
[Iterator α₁ Id β] [Iterator α₂ Id β]
|
||||
(it₁ : Iter (α := α₁) β) (it₂ : Iter (α := α₂) β) :
|
||||
Iter (α := Append α₁ α₂ Id β) β :=
|
||||
(it₁.toIterM.append it₂.toIterM).toIter
|
||||
|
||||
/--
|
||||
This combinator is only useful for advanced use cases.
|
||||
|
||||
Given an iterator `it₂`, returns an iterator that behaves exactly like `it₂` but is of the same
|
||||
type as `it₁.append it₂` (after `it₁` has been exhausted).
|
||||
This is useful for constructing intermediate states of the append iterator.
|
||||
|
||||
**Marble diagram:**
|
||||
|
||||
```text
|
||||
it₂ --a--b--⊥
|
||||
Iter.appendSnd α₁ it₂ --a--b--⊥
|
||||
```
|
||||
|
||||
**Termination properties:**
|
||||
|
||||
* `Finite` instance: only if `it₂` and iterators of type `α₁` are finite
|
||||
* `Productive` instance: only if `it₂` and iterators of type `α₁` are productive
|
||||
|
||||
Note: If iterators of type `α₁` are not finite, then `append α₁ it₂` can be productive while `it₂` is not.
|
||||
The standard library does not provide a `Productive` instance for this case.
|
||||
|
||||
**Performance:**
|
||||
|
||||
This combinator incurs an additional O(1) cost with each output of `it₂`.
|
||||
-/
|
||||
@[inline, expose]
|
||||
def Iter.Intermediate.appendSnd {α₂ : Type w} {β : Type w}
|
||||
[Iterator α₂ Id β] (α₁ : Type w) (it₂ : Iter (α := α₂) β) :
|
||||
Iter (α := Append α₁ α₂ Id β) β :=
|
||||
(IterM.Intermediate.appendSnd α₁ it₂.toIterM).toIter
|
||||
|
||||
end Std
|
||||
@@ -6,6 +6,7 @@ Authors: Paul Reichert
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Iterators.Combinators.Monadic.Append
|
||||
public import Init.Data.Iterators.Combinators.Monadic.FilterMap
|
||||
public import Init.Data.Iterators.Combinators.Monadic.FlatMap
|
||||
public import Init.Data.Iterators.Combinators.Monadic.Take
|
||||
|
||||
261
src/Init/Data/Iterators/Combinators/Monadic/Append.lean
Normal file
261
src/Init/Data/Iterators/Combinators/Monadic/Append.lean
Normal file
@@ -0,0 +1,261 @@
|
||||
/-
|
||||
Copyright (c) 2026 Lean FRO, LLC. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Paul Reichert
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Iterators.Consumers.Monadic.Loop
|
||||
public import Init.Classical
|
||||
import Init.Data.Option.Lemmas
|
||||
import Init.ByCases
|
||||
import Init.Omega
|
||||
|
||||
public section
|
||||
|
||||
/-!
|
||||
This module provides the iterator combinator `IterM.append`.
|
||||
-/
|
||||
|
||||
namespace Std
|
||||
|
||||
variable {α : Type w} {m : Type w → Type w'} {β : Type w}
|
||||
|
||||
/--
|
||||
The internal state of the `IterM.append` iterator combinator.
|
||||
-/
|
||||
inductive Iterators.Types.Append (α₁ α₂ : Type w) (m : Type w → Type w') (β : Type w) where
|
||||
| fst : IterM (α := α₁) m β → IterM (α := α₂) m β → Append α₁ α₂ m β
|
||||
| snd : IterM (α := α₂) m β → Append α₁ α₂ m β
|
||||
|
||||
open Std.Iterators Std.Iterators.Types
|
||||
|
||||
/--
|
||||
Given two iterators `it₁` and `it₂`, `it₁.append it₂` is an iterator that first outputs all values
|
||||
of `it₁` in order and then all values of `it₂` in order.
|
||||
|
||||
**Marble diagram:**
|
||||
|
||||
```text
|
||||
it₁ ---a----b---c--⊥
|
||||
it₂ --d--e--⊥
|
||||
it₁.append it₂ ---a----b---c-----d--e--⊥
|
||||
```
|
||||
|
||||
**Termination properties:**
|
||||
|
||||
* `Finite` instance: only if `it₁` and `it₂` are finite
|
||||
* `Productive` instance: only if `it₁` and `it₂` are productive
|
||||
|
||||
Note: If `it₁` is not finite, then `it₁.append it₂` can be productive while `it₂` is not.
|
||||
The standard library does not provide a `Productive` instance for this case.
|
||||
|
||||
**Performance:**
|
||||
|
||||
This combinator incurs an additional O(1) cost with each output of `it₁` and `it₂`.
|
||||
-/
|
||||
@[inline, expose]
|
||||
def IterM.append [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
(it₁ : IterM (α := α₁) m β) (it₂ : IterM (α := α₂) m β) :=
|
||||
(⟨Iterators.Types.Append.fst it₁ it₂⟩ : IterM m β)
|
||||
|
||||
/--
|
||||
This combinator is only useful for advanced use cases.
|
||||
|
||||
Given an iterator `it₂`, `IterM.Intermediate.appendSnd α₁ it₂` returns an iterator that behaves
|
||||
exactly like `it₂` but has the same type as `it₁.append it₂` (after `it₁` has been exhausted).
|
||||
This is useful for constructing intermediate states of the append iterator.
|
||||
|
||||
**Marble diagram:**
|
||||
|
||||
```text
|
||||
it₂ --a--b--⊥
|
||||
IterM.Intermediate.appendSnd α₁ it₂ --a--b--⊥
|
||||
```
|
||||
|
||||
**Termination properties:**
|
||||
|
||||
* `Finite` instance: only if `it₂` and iterators of type `α₁` are finite
|
||||
* `Productive` instance: only if `it₂` and iterators of type `α₁` are productive
|
||||
|
||||
Note: If iterators of type `α₁` are not finite, then `appendSnd α₁ it₂` can be productive
|
||||
while `it₂` is not. The standard library does not provide a `Productive` instance for this case.
|
||||
|
||||
**Performance:**
|
||||
|
||||
This combinator incurs an additional O(1) cost with each output of `it₂`.
|
||||
-/
|
||||
@[inline, expose]
|
||||
def IterM.Intermediate.appendSnd [Iterator α₂ m β] (α₁ : Type w) (it₂ : IterM (α := α₂) m β) :=
|
||||
(⟨Iterators.Types.Append.snd (α₁ := α₁) it₂⟩ : IterM m β)
|
||||
|
||||
namespace Iterators.Types
|
||||
|
||||
inductive Append.PlausibleStep [Iterator α₁ m β] [Iterator α₂ m β] :
|
||||
IterM (α := Append α₁ α₂ m β) m β → IterStep (IterM (α := Append α₁ α₂ m β) m β) β → Prop where
|
||||
| fstYield {it₁ : IterM (α := α₁) m β} {it₂ : IterM (α := α₂) m β} :
|
||||
it₁.IsPlausibleStep (.yield it₁' out) → PlausibleStep (it₁.append it₂) (.yield (it₁'.append it₂) out)
|
||||
| fstSkip {it₁ : IterM (α := α₁) m β} {it₂ : IterM (α := α₂) m β} :
|
||||
it₁.IsPlausibleStep (.skip it₁') → PlausibleStep (it₁.append it₂) (.skip (it₁'.append it₂))
|
||||
| fstDone {it₁ : IterM (α := α₁) m β} {it₂ : IterM (α := α₂) m β} :
|
||||
it₁.IsPlausibleStep .done → PlausibleStep (it₁.append it₂) (.skip (IterM.Intermediate.appendSnd α₁ it₂))
|
||||
| sndYield {it₂ : IterM (α := α₂) m β} :
|
||||
it₂.IsPlausibleStep (.yield it₂' out) →
|
||||
PlausibleStep (IterM.Intermediate.appendSnd α₁ it₂) (.yield (IterM.Intermediate.appendSnd α₁ it₂') out)
|
||||
| sndSkip {it₂ : IterM (α := α₂) m β} :
|
||||
it₂.IsPlausibleStep (.skip it₂') →
|
||||
PlausibleStep (IterM.Intermediate.appendSnd α₁ it₂) (.skip (IterM.Intermediate.appendSnd α₁ it₂'))
|
||||
| sndDone {it₂ : IterM (α := α₂) m β} :
|
||||
it₂.IsPlausibleStep .done → PlausibleStep (IterM.Intermediate.appendSnd α₁ it₂) .done
|
||||
|
||||
@[inline]
|
||||
instance Append.instIterator [Monad m] [Iterator α₁ m β] [Iterator α₂ m β] :
|
||||
Iterator (Append α₁ α₂ m β) m β where
|
||||
IsPlausibleStep := Append.PlausibleStep
|
||||
step
|
||||
| ⟨.fst it₁ it₂⟩ => do
|
||||
match (← it₁.step).inflate with
|
||||
| .yield it₁' out h => return .deflate <| .yield (it₁'.append it₂) out (.fstYield h)
|
||||
| .skip it₁' h => return .deflate <| .skip (it₁'.append it₂) (.fstSkip h)
|
||||
| .done h => return .deflate <| .skip (IterM.Intermediate.appendSnd α₁ it₂) (.fstDone h)
|
||||
| ⟨.snd it₂⟩ => do
|
||||
match (← it₂.step).inflate with
|
||||
| .yield it₂' out h => return .deflate <| .yield (IterM.Intermediate.appendSnd α₁ it₂') out (.sndYield h)
|
||||
| .skip it₂' h => return .deflate <| .skip (IterM.Intermediate.appendSnd α₁ it₂') (.sndSkip h)
|
||||
| .done h => return .deflate <| .done (.sndDone h)
|
||||
|
||||
instance Append.instIteratorLoop {n : Type x → Type x'} [Monad m] [Monad n]
|
||||
[Iterator α₁ m β] [Iterator α₂ m β] :
|
||||
IteratorLoop (Append α₁ α₂ m β) m n :=
|
||||
.defaultImplementation
|
||||
|
||||
section Finite
|
||||
|
||||
variable {α₁ : Type w} {α₂ : Type w} {m : Type w → Type w'} {β : Type w}
|
||||
|
||||
variable (α₁ α₂ m β) in
|
||||
def Append.Rel [Monad m] [Iterator α₁ m β] [Iterator α₂ m β] [Finite α₁ m] [Finite α₂ m] :
|
||||
IterM (α := Append α₁ α₂ m β) m β → IterM (α := Append α₁ α₂ m β) m β → Prop :=
|
||||
InvImage
|
||||
(Prod.Lex
|
||||
(Option.lt (InvImage IterM.TerminationMeasures.Finite.Rel IterM.finitelyManySteps))
|
||||
(InvImage IterM.TerminationMeasures.Finite.Rel IterM.finitelyManySteps))
|
||||
(fun it => match it.internalState with
|
||||
| .fst it₁ it₂ => (some it₁, it₂)
|
||||
| .snd it₂ => (none, it₂))
|
||||
|
||||
theorem Append.rel_of_fst [Monad m] [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
[Finite α₁ m] [Finite α₂ m] {it₁ it₁' : IterM (α := α₁) m β} {it₂ : IterM (α := α₂) m β}
|
||||
(h : it₁'.finitelyManySteps.Rel it₁.finitelyManySteps) :
|
||||
Append.Rel α₁ α₂ m β (it₁'.append it₂) (it₁.append it₂) := by
|
||||
exact Prod.Lex.left _ _ h
|
||||
|
||||
theorem Append.rel_fstDone [Monad m] [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
[Finite α₁ m] [Finite α₂ m] {it₁ : IterM (α := α₁) m β} {it₂ : IterM (α := α₂) m β} :
|
||||
Append.Rel α₁ α₂ m β (IterM.Intermediate.appendSnd α₁ it₂) (it₁.append it₂) := by
|
||||
exact Prod.Lex.left _ _ trivial
|
||||
|
||||
theorem Append.rel_of_snd [Monad m] [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
[Finite α₁ m] [Finite α₂ m] {it₂ it₂' : IterM (α := α₂) m β}
|
||||
(h : it₂'.finitelyManySteps.Rel it₂.finitelyManySteps) :
|
||||
Append.Rel α₁ α₂ m β (IterM.Intermediate.appendSnd α₁ it₂') (IterM.Intermediate.appendSnd α₁ it₂) := by
|
||||
exact Prod.Lex.right _ h
|
||||
|
||||
def Append.instFinitenessRelation [Monad m] [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
[Finite α₁ m] [Finite α₂ m] :
|
||||
FinitenessRelation (Append α₁ α₂ m β) m where
|
||||
Rel := Append.Rel α₁ α₂ m β
|
||||
wf := by
|
||||
apply InvImage.wf
|
||||
refine ⟨fun (a, b) => Prod.lexAccessible (WellFounded.apply ?_ a) (WellFounded.apply ?_) b⟩
|
||||
· exact Option.wellFounded_lt <| InvImage.wf _ WellFoundedRelation.wf
|
||||
· exact InvImage.wf _ WellFoundedRelation.wf
|
||||
subrelation {it it'} h := by
|
||||
obtain ⟨step, h, h'⟩ := h
|
||||
cases h' <;> cases h
|
||||
case fstYield =>
|
||||
apply Append.rel_of_fst
|
||||
exact IterM.TerminationMeasures.Finite.rel_of_yield ‹_›
|
||||
case fstSkip =>
|
||||
apply Append.rel_of_fst
|
||||
exact IterM.TerminationMeasures.Finite.rel_of_skip ‹_›
|
||||
case fstDone =>
|
||||
exact Append.rel_fstDone
|
||||
case sndYield =>
|
||||
apply Append.rel_of_snd
|
||||
exact IterM.TerminationMeasures.Finite.rel_of_yield ‹_›
|
||||
case sndSkip =>
|
||||
apply Append.rel_of_snd
|
||||
exact IterM.TerminationMeasures.Finite.rel_of_skip ‹_›
|
||||
|
||||
@[no_expose]
|
||||
public instance Append.instFinite [Monad m] [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
[Finite α₁ m] [Finite α₂ m] : Finite (Append α₁ α₂ m β) m :=
|
||||
.of_finitenessRelation instFinitenessRelation
|
||||
|
||||
end Finite
|
||||
|
||||
section Productive
|
||||
|
||||
variable {α₁ : Type w} {α₂ : Type w} {m : Type w → Type w'} {β : Type w}
|
||||
|
||||
variable (α₁ α₂ m β) in
|
||||
def Append.ProductiveRel [Monad m] [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
[Productive α₁ m] [Productive α₂ m] :
|
||||
IterM (α := Append α₁ α₂ m β) m β → IterM (α := Append α₁ α₂ m β) m β → Prop :=
|
||||
InvImage
|
||||
(Prod.Lex
|
||||
(Option.lt (InvImage IterM.TerminationMeasures.Productive.Rel IterM.finitelyManySkips))
|
||||
(InvImage IterM.TerminationMeasures.Productive.Rel IterM.finitelyManySkips))
|
||||
(fun it => match it.internalState with
|
||||
| .fst it₁ it₂ => (some it₁, it₂)
|
||||
| .snd it₂ => (none, it₂))
|
||||
|
||||
theorem Append.productiveRel_of_fst [Monad m] [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
[Productive α₁ m] [Productive α₂ m] {it₁ it₁' : IterM (α := α₁) m β}
|
||||
{it₂ : IterM (α := α₂) m β}
|
||||
(h : it₁'.finitelyManySkips.Rel it₁.finitelyManySkips) :
|
||||
Append.ProductiveRel α₁ α₂ m β (it₁'.append it₂) (it₁.append it₂) := by
|
||||
exact Prod.Lex.left _ _ h
|
||||
|
||||
theorem Append.productiveRel_fstDone [Monad m] [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
[Productive α₁ m] [Productive α₂ m] {it₁ : IterM (α := α₁) m β}
|
||||
{it₂ : IterM (α := α₂) m β} :
|
||||
Append.ProductiveRel α₁ α₂ m β (IterM.Intermediate.appendSnd α₁ it₂) (it₁.append it₂) := by
|
||||
exact Prod.Lex.left _ _ trivial
|
||||
|
||||
theorem Append.productiveRel_of_snd [Monad m] [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
[Productive α₁ m] [Productive α₂ m] {it₂ it₂' : IterM (α := α₂) m β}
|
||||
(h : it₂'.finitelyManySkips.Rel it₂.finitelyManySkips) :
|
||||
Append.ProductiveRel α₁ α₂ m β
|
||||
(IterM.Intermediate.appendSnd α₁ it₂') (IterM.Intermediate.appendSnd α₁ it₂) := by
|
||||
exact Prod.Lex.right _ h
|
||||
|
||||
private def Append.instProductivenessRelation [Monad m] [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
[Productive α₁ m] [Productive α₂ m] :
|
||||
ProductivenessRelation (Append α₁ α₂ m β) m where
|
||||
Rel := Append.ProductiveRel α₁ α₂ m β
|
||||
wf := by
|
||||
apply InvImage.wf
|
||||
refine ⟨fun (a, b) => Prod.lexAccessible (WellFounded.apply ?_ a) (WellFounded.apply ?_) b⟩
|
||||
· exact Option.wellFounded_lt <| InvImage.wf _ WellFoundedRelation.wf
|
||||
· exact InvImage.wf _ WellFoundedRelation.wf
|
||||
subrelation {it it'} h := by
|
||||
cases h
|
||||
case fstSkip =>
|
||||
apply Append.productiveRel_of_fst
|
||||
exact IterM.TerminationMeasures.Productive.rel_of_skip ‹_›
|
||||
case fstDone =>
|
||||
exact Append.productiveRel_fstDone
|
||||
case sndSkip =>
|
||||
apply Append.productiveRel_of_snd
|
||||
exact IterM.TerminationMeasures.Productive.rel_of_skip ‹_›
|
||||
|
||||
instance Append.instProductive [Monad m] [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
[Productive α₁ m] [Productive α₂ m] : Productive (Append α₁ α₂ m β) m :=
|
||||
.of_productivenessRelation instProductivenessRelation
|
||||
|
||||
end Productive
|
||||
|
||||
end Std.Iterators.Types
|
||||
@@ -362,8 +362,7 @@ def Flatten.instProductivenessRelation [Monad m] [Iterator α m (IterM (α := α
|
||||
case innerDone =>
|
||||
apply Flatten.productiveRel_of_right₂
|
||||
|
||||
@[no_expose]
|
||||
public def Flatten.instProductive [Monad m] [Iterator α m (IterM (α := α₂) m β)] [Iterator α₂ m β]
|
||||
public theorem Flatten.instProductive [Monad m] [Iterator α m (IterM (α := α₂) m β)] [Iterator α₂ m β]
|
||||
[Finite α m] [Productive α₂ m] : Productive (Flatten α α₂ β m) m :=
|
||||
.of_productivenessRelation instProductivenessRelation
|
||||
|
||||
|
||||
@@ -35,7 +35,7 @@ A `ForIn'` instance for iterators. Its generic membership relation is not easy t
|
||||
so this is not marked as `instance`. This way, more convenient instances can be built on top of it
|
||||
or future library improvements will make it more comfortable.
|
||||
-/
|
||||
@[always_inline, inline]
|
||||
@[always_inline, inline, expose, implicit_reducible]
|
||||
def Iter.instForIn' {α : Type w} {β : Type w} {n : Type x → Type x'} [Monad n]
|
||||
[Iterator α Id β] [IteratorLoop α Id n] :
|
||||
ForIn' n (Iter (α := α) β) β ⟨fun it out => it.IsPlausibleIndirectOutput out⟩ where
|
||||
@@ -53,7 +53,7 @@ instance (α : Type w) (β : Type w) (n : Type x → Type x') [Monad n]
|
||||
/--
|
||||
An implementation of `for h : ... in ... do ...` notation for partial iterators.
|
||||
-/
|
||||
@[always_inline, inline]
|
||||
@[always_inline, inline, expose, implicit_reducible]
|
||||
def Iter.Partial.instForIn' {α : Type w} {β : Type w} {n : Type x → Type x'} [Monad n]
|
||||
[Iterator α Id β] [IteratorLoop α Id n] :
|
||||
ForIn' n (Iter.Partial (α := α) β) β ⟨fun it out => it.it.IsPlausibleIndirectOutput out⟩ where
|
||||
@@ -71,7 +71,7 @@ instance (α : Type w) (β : Type w) (n : Type x → Type x') [Monad n]
|
||||
A `ForIn'` instance for iterators that is guaranteed to terminate after finitely many steps.
|
||||
It is not marked as an instance because the membership predicate is difficult to work with.
|
||||
-/
|
||||
@[always_inline, inline]
|
||||
@[always_inline, inline, expose, implicit_reducible]
|
||||
def Iter.Total.instForIn' {α : Type w} {β : Type w} {n : Type x → Type x'} [Monad n]
|
||||
[Iterator α Id β] [IteratorLoop α Id n] [Finite α Id] :
|
||||
ForIn' n (Iter.Total (α := α) β) β ⟨fun it out => it.it.IsPlausibleIndirectOutput out⟩ where
|
||||
|
||||
@@ -159,7 +159,7 @@ This is the default implementation of the `IteratorLoop` class.
|
||||
It simply iterates through the iterator using `IterM.step`. For certain iterators, more efficient
|
||||
implementations are possible and should be used instead.
|
||||
-/
|
||||
@[always_inline, inline, expose]
|
||||
@[always_inline, inline, expose, implicit_reducible]
|
||||
def IteratorLoop.defaultImplementation {α : Type w} {m : Type w → Type w'} {n : Type x → Type x'}
|
||||
[Monad n] [Iterator α m β] :
|
||||
IteratorLoop α m n where
|
||||
@@ -211,7 +211,7 @@ theorem IteratorLoop.wellFounded_of_productive {α β : Type w} {m : Type w →
|
||||
/--
|
||||
This `ForIn'`-style loop construct traverses a finite iterator using an `IteratorLoop` instance.
|
||||
-/
|
||||
@[always_inline, inline]
|
||||
@[always_inline, inline, expose, implicit_reducible]
|
||||
def IteratorLoop.finiteForIn' {m : Type w → Type w'} {n : Type x → Type x'}
|
||||
{α : Type w} {β : Type w} [Iterator α m β] [IteratorLoop α m n] [Monad n]
|
||||
(lift : ∀ γ δ, (γ → n δ) → m γ → n δ) :
|
||||
@@ -224,7 +224,7 @@ A `ForIn'` instance for iterators. Its generic membership relation is not easy t
|
||||
so this is not marked as `instance`. This way, more convenient instances can be built on top of it
|
||||
or future library improvements will make it more comfortable.
|
||||
-/
|
||||
@[always_inline, inline]
|
||||
@[always_inline, inline, expose, implicit_reducible]
|
||||
def IterM.instForIn' {m : Type w → Type w'} {n : Type w → Type w''}
|
||||
{α : Type w} {β : Type w} [Iterator α m β] [IteratorLoop α m n] [Monad n]
|
||||
[MonadLiftT m n] :
|
||||
@@ -239,7 +239,7 @@ instance IterM.instForInOfIteratorLoop {m : Type w → Type w'} {n : Type w →
|
||||
instForInOfForIn'
|
||||
|
||||
/-- Internal implementation detail of the iterator library. -/
|
||||
@[always_inline, inline]
|
||||
@[always_inline, inline, expose, implicit_reducible]
|
||||
def IterM.Partial.instForIn' {m : Type w → Type w'} {n : Type w → Type w''}
|
||||
{α : Type w} {β : Type w} [Iterator α m β] [IteratorLoop α m n] [MonadLiftT m n] [Monad n] :
|
||||
ForIn' n (IterM.Partial (α := α) m β) β ⟨fun it out => it.it.IsPlausibleIndirectOutput out⟩ where
|
||||
@@ -247,7 +247,7 @@ def IterM.Partial.instForIn' {m : Type w → Type w'} {n : Type w → Type w''}
|
||||
haveI := @IterM.instForIn'; forIn' it.it init f
|
||||
|
||||
/-- Internal implementation detail of the iterator library. -/
|
||||
@[always_inline, inline]
|
||||
@[always_inline, inline, expose, implicit_reducible]
|
||||
def IterM.Total.instForIn' {m : Type w → Type w'} {n : Type w → Type w''}
|
||||
{α : Type w} {β : Type w} [Iterator α m β] [IteratorLoop α m n] [MonadLiftT m n] [Monad n]
|
||||
[Finite α m] :
|
||||
|
||||
@@ -70,7 +70,7 @@ theorem LawfulMonadLiftFunction.lift_seqRight [LawfulMonad m] [LawfulMonad n]
|
||||
abbrev idToMonad [Monad m] ⦃α : Type u⦄ (x : Id α) : m α :=
|
||||
pure x.run
|
||||
|
||||
def LawfulMonadLiftFunction.idToMonad [Monad m] [LawfulMonad m] :
|
||||
theorem LawfulMonadLiftFunction.idToMonad [LawfulMonad m] :
|
||||
LawfulMonadLiftFunction (m := Id) (n := m) idToMonad where
|
||||
lift_pure := by simp [Internal.idToMonad]
|
||||
lift_bind := by simp [Internal.idToMonad]
|
||||
@@ -95,7 +95,7 @@ instance [LawfulMonadLiftBindFunction (n := n) (fun _ _ f x => lift x >>= f)] [L
|
||||
simpa using LawfulMonadLiftBindFunction.liftBind_bind (n := n)
|
||||
(liftBind := fun _ _ f x => lift x >>= f) (β := β) (γ := γ) (δ := γ) pure x g
|
||||
|
||||
def LawfulMonadLiftBindFunction.id [Monad m] [LawfulMonad m] :
|
||||
theorem LawfulMonadLiftBindFunction.id [LawfulMonad m] :
|
||||
LawfulMonadLiftBindFunction (m := Id) (n := m) (fun _ _ f x => f x.run) where
|
||||
liftBind_pure := by simp
|
||||
liftBind_bind := by simp
|
||||
|
||||
@@ -6,6 +6,7 @@ Authors: Paul Reichert
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Iterators.Lemmas.Combinators.Append
|
||||
public import Init.Data.Iterators.Lemmas.Combinators.Attach
|
||||
public import Init.Data.Iterators.Lemmas.Combinators.Monadic
|
||||
public import Init.Data.Iterators.Lemmas.Combinators.FilterMap
|
||||
|
||||
193
src/Init/Data/Iterators/Lemmas/Combinators/Append.lean
Normal file
193
src/Init/Data/Iterators/Lemmas/Combinators/Append.lean
Normal file
@@ -0,0 +1,193 @@
|
||||
/-
|
||||
Copyright (c) 2026 Lean FRO, LLC. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Paul Reichert
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Iterators.Combinators.Append
|
||||
public import Init.Data.Iterators.Lemmas.Combinators.Monadic.Append
|
||||
public import Init.Data.Iterators.Consumers.Collect
|
||||
public import Init.Data.Iterators.Consumers.Access
|
||||
import Init.Data.Iterators.Lemmas.Consumers.Collect
|
||||
import Init.Data.Iterators.Lemmas.Consumers.Access
|
||||
import Init.Data.Iterators.Lemmas.Basic
|
||||
import Init.Omega
|
||||
|
||||
public section
|
||||
|
||||
namespace Std
|
||||
open Std.Iterators Std.Iterators.Types
|
||||
|
||||
theorem Iter.append_eq_toIter_append_toIterM {α₁ α₂ β : Type w}
|
||||
[Iterator α₁ Id β] [Iterator α₂ Id β]
|
||||
{it₁ : Iter (α := α₁) β} {it₂ : Iter (α := α₂) β} :
|
||||
it₁.append it₂ = (it₁.toIterM.append it₂.toIterM).toIter :=
|
||||
rfl
|
||||
|
||||
theorem Iter.Intermediate.appendSnd_eq_toIter_appendSnd_toIterM {α₁ α₂ β : Type w}
|
||||
[Iterator α₁ Id β] [Iterator α₂ Id β]
|
||||
{it₂ : Iter (α := α₂) β} :
|
||||
Iter.Intermediate.appendSnd α₁ it₂ = (IterM.Intermediate.appendSnd α₁ it₂.toIterM).toIter :=
|
||||
rfl
|
||||
|
||||
theorem Iter.step_append {α₁ α₂ β : Type w}
|
||||
[Iterator α₁ Id β] [Iterator α₂ Id β]
|
||||
{it₁ : Iter (α := α₁) β} {it₂ : Iter (α := α₂) β} :
|
||||
(it₁.append it₂).step =
|
||||
match it₁.step with
|
||||
| .yield it₁' out h => .yield (it₁'.append it₂) out (.fstYield h)
|
||||
| .skip it₁' h => .skip (it₁'.append it₂) (.fstSkip h)
|
||||
| .done h => .skip (Iter.Intermediate.appendSnd α₁ it₂) (.fstDone h) := by
|
||||
simp only [Iter.step, append_eq_toIter_append_toIterM, toIterM_toIter, IterM.step_append,
|
||||
Id.run_bind]
|
||||
cases it₁.toIterM.step.run.inflate using PlausibleIterStep.casesOn <;>
|
||||
simp [Intermediate.appendSnd_eq_toIter_appendSnd_toIterM]
|
||||
|
||||
theorem Iter.Intermediate.step_appendSnd {α₁ α₂ β : Type w}
|
||||
[Iterator α₁ Id β] [Iterator α₂ Id β]
|
||||
{it₂ : Iter (α := α₂) β} :
|
||||
(Iter.Intermediate.appendSnd α₁ it₂).step =
|
||||
match it₂.step with
|
||||
| .yield it₂' out h => .yield (Iter.Intermediate.appendSnd α₁ it₂') out (.sndYield h)
|
||||
| .skip it₂' h => .skip (Iter.Intermediate.appendSnd α₁ it₂') (.sndSkip h)
|
||||
| .done h => .done (.sndDone h) := by
|
||||
simp only [Iter.step, appendSnd, toIterM_toIter, IterM.Intermediate.step_appendSnd, Id.run_bind]
|
||||
cases it₂.toIterM.step.run.inflate using PlausibleIterStep.casesOn <;> simp
|
||||
|
||||
@[simp]
|
||||
theorem Iter.toList_append {α₁ α₂ β : Type w}
|
||||
[Iterator α₁ Id β] [Iterator α₂ Id β] [Finite α₁ Id] [Finite α₂ Id]
|
||||
{it₁ : Iter (α := α₁) β} {it₂ : Iter (α := α₂) β} :
|
||||
(it₁.append it₂).toList = it₁.toList ++ it₂.toList := by
|
||||
simp [append_eq_toIter_append_toIterM, toList_eq_toList_toIterM]
|
||||
|
||||
@[simp]
|
||||
theorem Iter.toListRev_append {α₁ α₂ β : Type w}
|
||||
[Iterator α₁ Id β] [Iterator α₂ Id β] [Finite α₁ Id] [Finite α₂ Id]
|
||||
{it₁ : Iter (α := α₁) β} {it₂ : Iter (α := α₂) β} :
|
||||
(it₁.append it₂).toListRev = it₂.toListRev ++ it₁.toListRev := by
|
||||
simp [append_eq_toIter_append_toIterM, toListRev_eq_toListRev_toIterM]
|
||||
|
||||
@[simp]
|
||||
theorem Iter.toArray_append {α₁ α₂ β : Type w}
|
||||
[Iterator α₁ Id β] [Iterator α₂ Id β] [Finite α₁ Id] [Finite α₂ Id]
|
||||
{it₁ : Iter (α := α₁) β} {it₂ : Iter (α := α₂) β} :
|
||||
(it₁.append it₂).toArray = it₁.toArray ++ it₂.toArray := by
|
||||
simp [append_eq_toIter_append_toIterM, toArray_eq_toArray_toIterM]
|
||||
|
||||
@[simp]
|
||||
theorem Iter.atIdxSlow?_appendSnd {α₁ α₂ β : Type w}
|
||||
[Iterator α₁ Id β] [Iterator α₂ Id β] [Productive α₁ Id] [Productive α₂ Id]
|
||||
{it₂ : Iter (α := α₂) β} {n : Nat} :
|
||||
(Iter.Intermediate.appendSnd α₁ it₂).atIdxSlow? n = it₂.atIdxSlow? n := by
|
||||
induction n, it₂ using Iter.atIdxSlow?.induct_unfolding with
|
||||
| yield_zero it it' out h h' =>
|
||||
simp only [atIdxSlow?_eq_match (it := Iter.Intermediate.appendSnd α₁ it),
|
||||
Intermediate.step_appendSnd, h']
|
||||
| yield_succ it it' out h h' n ih =>
|
||||
simp only [atIdxSlow?_eq_match (it := Iter.Intermediate.appendSnd α₁ it),
|
||||
Intermediate.step_appendSnd, h', ih]
|
||||
| skip_case n it it' h h' ih =>
|
||||
simp only [atIdxSlow?_eq_match (it := Iter.Intermediate.appendSnd α₁ it),
|
||||
Intermediate.step_appendSnd, h', ih]
|
||||
| done_case n it h h' =>
|
||||
simp only [atIdxSlow?_eq_match (it := Iter.Intermediate.appendSnd α₁ it),
|
||||
Intermediate.step_appendSnd, h']
|
||||
|
||||
theorem Iter.atIdxSlow?_append_of_eq_some {α₁ α₂ β : Type w}
|
||||
[Iterator α₁ Id β] [Iterator α₂ Id β] [Productive α₁ Id] [Productive α₂ Id]
|
||||
{it₁ : Iter (α := α₁) β} {it₂ : Iter (α := α₂) β} {n : Nat} {b : β}
|
||||
(h : it₁.atIdxSlow? n = some b) :
|
||||
(it₁.append it₂).atIdxSlow? n = some b := by
|
||||
induction n, it₁ using Iter.atIdxSlow?.induct_unfolding generalizing it₂ with
|
||||
| yield_zero it it' out hp h' =>
|
||||
rw [atIdxSlow?_eq_match (it := it.append it₂)]
|
||||
cases h
|
||||
simp [step_append, h']
|
||||
| yield_succ it it' out hp h' n ih =>
|
||||
rw [atIdxSlow?_eq_match (it := it.append it₂)]
|
||||
simp [step_append, h', ih h]
|
||||
| skip_case n it it' hp h' ih =>
|
||||
rw [atIdxSlow?_eq_match (it := it.append it₂)]
|
||||
simp [step_append, h', ih h]
|
||||
| done_case n it hp h' =>
|
||||
cases h
|
||||
|
||||
theorem Iter.atIdxSlow?_append {α₁ α₂ β : Type w}
|
||||
[Iterator α₁ Id β] [Iterator α₂ Id β] [Finite α₁ Id] [Productive α₂ Id]
|
||||
{it₁ : Iter (α := α₁) β} {it₂ : Iter (α := α₂) β} {n : Nat} :
|
||||
(it₁.append it₂).atIdxSlow? n =
|
||||
if n < it₁.toList.length then it₁.atIdxSlow? n
|
||||
else it₂.atIdxSlow? (n - it₁.toList.length) := by
|
||||
induction n, it₁ using Iter.atIdxSlow?.induct_unfolding generalizing it₂ with
|
||||
| yield_zero it it' out h h' =>
|
||||
simp only [atIdxSlow?_eq_match (it := it.append it₂), step_append, h']
|
||||
rw [toList_eq_match_step (it := it)]
|
||||
simp [h']
|
||||
| yield_succ it it' out h h' n ih =>
|
||||
simp only [atIdxSlow?_eq_match (it := it.append it₂), step_append, h', ih]
|
||||
rw [toList_eq_match_step (it := it)]
|
||||
simp [h', Nat.succ_lt_succ_iff, Nat.succ_sub_succ]
|
||||
| skip_case n it it' h h' ih =>
|
||||
simp only [atIdxSlow?_eq_match (it := it.append it₂), step_append, h', ih]
|
||||
rw [toList_eq_match_step (it := it)]
|
||||
simp [h']
|
||||
| done_case n it h h' =>
|
||||
simp [atIdxSlow?_eq_match (it := it.append it₂), step_append, h',
|
||||
atIdxSlow?_appendSnd, toList_eq_match_step]
|
||||
|
||||
theorem Iter.atIdxSlow?_append_of_productive {α₁ α₂ β : Type w}
|
||||
[Iterator α₁ Id β] [Iterator α₂ Id β] [Productive α₁ Id] [Productive α₂ Id]
|
||||
{it₁ : Iter (α := α₁) β} {it₂ : Iter (α := α₂) β} {n k : Nat}
|
||||
(hk : it₁.atIdxSlow? k = none)
|
||||
(hmin : ∀ j, j < k → (it₁.atIdxSlow? j).isSome)
|
||||
(hle : k ≤ n) :
|
||||
(it₁.append it₂).atIdxSlow? n = it₂.atIdxSlow? (n - k) := by
|
||||
induction n, it₁ using Iter.atIdxSlow?.induct_unfolding generalizing k it₂ with
|
||||
| yield_zero it it' out hp h' =>
|
||||
exfalso
|
||||
have : k = 0 := by omega
|
||||
subst this
|
||||
rw [atIdxSlow?_eq_match (it := it)] at hk
|
||||
simp [h'] at hk
|
||||
| yield_succ it it' out hp h' n ih =>
|
||||
rw [atIdxSlow?_eq_match (it := it.append it₂)]
|
||||
simp only [step_append, h']
|
||||
match k with
|
||||
| 0 =>
|
||||
rw [atIdxSlow?_eq_match (it := it)] at hk
|
||||
simp [h'] at hk
|
||||
| k + 1 =>
|
||||
rw [atIdxSlow?_eq_match (it := it)] at hk
|
||||
simp [h'] at hk
|
||||
have hmin' : ∀ j, j < k → (it'.atIdxSlow? j).isSome := by
|
||||
intro j hj
|
||||
have h := hmin (j + 1) (by omega)
|
||||
rw [atIdxSlow?_eq_match (it := it)] at h
|
||||
simpa [h'] using h
|
||||
rw [ih hk hmin' (by omega)]
|
||||
congr 1
|
||||
omega
|
||||
| skip_case n it it' hp h' ih =>
|
||||
rw [atIdxSlow?_eq_match (it := it.append it₂)]
|
||||
simp only [step_append, h']
|
||||
rw [atIdxSlow?_eq_match (it := it)] at hk; simp [h'] at hk
|
||||
have hmin' : ∀ j, j < k → (it'.atIdxSlow? j).isSome := by
|
||||
intro j hj
|
||||
have h := hmin j hj
|
||||
rw [atIdxSlow?_eq_match (it := it)] at h
|
||||
simpa [h'] using h
|
||||
exact ih hk hmin' hle
|
||||
| done_case n it hp h' =>
|
||||
rw [atIdxSlow?_eq_match (it := it.append it₂)]
|
||||
simp only [step_append, h', atIdxSlow?_appendSnd]
|
||||
have hk0 : k = 0 := by
|
||||
false_or_by_contra
|
||||
have h := hmin 0 (by omega)
|
||||
rw [atIdxSlow?_eq_match (it := it)] at h
|
||||
simp [h'] at h
|
||||
simp [hk0]
|
||||
|
||||
end Std
|
||||
@@ -121,22 +121,22 @@ public theorem Iter.step_flatMapAfterM {α : Type w} {β : Type w} {α₂ : Type
|
||||
[Monad m] [MonadAttach m] [LawfulMonad m] [WeaklyLawfulMonadAttach m] [Iterator α Id β] [Iterator α₂ m γ]
|
||||
{f : β → m (IterM (α := α₂) m γ)} {it₁ : Iter (α := α) β} {it₂ : Option (IterM (α := α₂) m γ)} :
|
||||
(it₁.flatMapAfterM f it₂).step = (do
|
||||
match it₂ with
|
||||
match hit : it₂ with
|
||||
| none =>
|
||||
match it₁.step with
|
||||
| .yield it₁' b h =>
|
||||
let fx ← MonadAttach.attach (f b)
|
||||
return .deflate (.skip (it₁'.flatMapAfterM f (some fx.val)) (.outerYield_flatMapM_pure h fx.property))
|
||||
| .skip it₁' h => return .deflate (.skip (it₁'.flatMapAfterM f none) (.outerSkip_flatMapM_pure h))
|
||||
| .done h => return .deflate (.done (.outerDone_flatMapM_pure h))
|
||||
return .deflate (.skip (it₁'.flatMapAfterM f (some fx.val)) (hit ▸ .outerYield_flatMapM_pure h fx.property))
|
||||
| .skip it₁' h => return .deflate (.skip (it₁'.flatMapAfterM f it₂) (hit ▸ .outerSkip_flatMapM_pure h))
|
||||
| .done h => return .deflate (.done (hit ▸ .outerDone_flatMapM_pure h))
|
||||
| some it₂ =>
|
||||
match (← it₂.step).inflate with
|
||||
| .yield it₂' out h =>
|
||||
return .deflate (.yield (it₁.flatMapAfterM f (some it₂')) out (.innerYield_flatMapM_pure h))
|
||||
return .deflate (.yield (it₁.flatMapAfterM f (some it₂')) out (hit ▸ .innerYield_flatMapM_pure h))
|
||||
| .skip it₂' h =>
|
||||
return .deflate (.skip (it₁.flatMapAfterM f (some it₂')) (.innerSkip_flatMapM_pure h))
|
||||
return .deflate (.skip (it₁.flatMapAfterM f (some it₂')) (hit ▸ .innerSkip_flatMapM_pure h))
|
||||
| .done h =>
|
||||
return .deflate (.skip (it₁.flatMapAfterM f none) (.innerDone_flatMapM_pure h))) := by
|
||||
return .deflate (.skip (it₁.flatMapAfterM f none) (hit ▸ .innerDone_flatMapM_pure h))) := by
|
||||
simp only [flatMapAfterM, IterM.step_flatMapAfterM, Iter.step_mapWithPostcondition,
|
||||
PostconditionT.operation_pure]
|
||||
split
|
||||
|
||||
@@ -6,6 +6,7 @@ Authors: Paul Reichert
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Iterators.Lemmas.Combinators.Monadic.Append
|
||||
public import Init.Data.Iterators.Lemmas.Combinators.Monadic.Attach
|
||||
public import Init.Data.Iterators.Lemmas.Combinators.Monadic.FilterMap
|
||||
public import Init.Data.Iterators.Lemmas.Combinators.Monadic.FlatMap
|
||||
|
||||
107
src/Init/Data/Iterators/Lemmas/Combinators/Monadic/Append.lean
Normal file
107
src/Init/Data/Iterators/Lemmas/Combinators/Monadic/Append.lean
Normal file
@@ -0,0 +1,107 @@
|
||||
/-
|
||||
Copyright (c) 2026 Lean FRO, LLC. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Authors: Paul Reichert
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.Iterators.Combinators.Monadic.Append
|
||||
public import Init.Data.Iterators.Consumers.Monadic.Collect
|
||||
import Init.Data.Iterators.Lemmas.Consumers.Monadic.Collect
|
||||
import Init.Data.Iterators.Lemmas.Monadic.Basic
|
||||
import Init.Data.List.Lemmas
|
||||
import Init.Data.List.ToArray
|
||||
|
||||
public section
|
||||
|
||||
namespace Std
|
||||
open Std.Iterators Std.Iterators.Types
|
||||
|
||||
variable {α₁ α₂ β : Type w} {m : Type w → Type w'}
|
||||
|
||||
theorem IterM.step_append [Monad m] [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
{it₁ : IterM (α := α₁) m β} {it₂ : IterM (α := α₂) m β} :
|
||||
(it₁.append it₂).step = (do
|
||||
match (← it₁.step).inflate with
|
||||
| .yield it₁' out h =>
|
||||
pure <| .deflate <| .yield (it₁'.append it₂) out (.fstYield h)
|
||||
| .skip it₁' h =>
|
||||
pure <| .deflate <| .skip (it₁'.append it₂) (.fstSkip h)
|
||||
| .done h =>
|
||||
pure <| .deflate <| .skip (IterM.Intermediate.appendSnd α₁ it₂) (.fstDone h)) := by
|
||||
simp only [append, Intermediate.appendSnd, step, Iterator.step]
|
||||
apply bind_congr; intro step
|
||||
cases step.inflate using PlausibleIterStep.casesOn <;> rfl
|
||||
|
||||
theorem IterM.Intermediate.step_appendSnd [Monad m] [Iterator α₁ m β] [Iterator α₂ m β]
|
||||
{it₂ : IterM (α := α₂) m β} :
|
||||
(IterM.Intermediate.appendSnd α₁ it₂).step = (do
|
||||
match (← it₂.step).inflate with
|
||||
| .yield it₂' out h =>
|
||||
pure <| .deflate <| .yield (IterM.Intermediate.appendSnd α₁ it₂') out (.sndYield h)
|
||||
| .skip it₂' h =>
|
||||
pure <| .deflate <| .skip (IterM.Intermediate.appendSnd α₁ it₂') (.sndSkip h)
|
||||
| .done h =>
|
||||
pure <| .deflate <| .done (.sndDone h)) := by
|
||||
simp only [Intermediate.appendSnd, step, Iterator.step]
|
||||
apply bind_congr; intro step
|
||||
cases step.inflate using PlausibleIterStep.casesOn <;> rfl
|
||||
|
||||
@[simp]
|
||||
theorem IterM.toList_appendSnd [Monad m] [LawfulMonad m]
|
||||
[Iterator α₁ m β] [Iterator α₂ m β] [Finite α₁ m] [Finite α₂ m]
|
||||
{it₂ : IterM (α := α₂) m β} :
|
||||
(IterM.Intermediate.appendSnd α₁ it₂).toList = it₂.toList := by
|
||||
induction it₂ using IterM.inductSteps with | step it₂ ihy ihs
|
||||
rw [toList_eq_match_step (it := IterM.Intermediate.appendSnd α₁ it₂),
|
||||
toList_eq_match_step (it := it₂)]
|
||||
simp only [Intermediate.step_appendSnd, bind_assoc]
|
||||
apply bind_congr; intro step
|
||||
cases step.inflate using PlausibleIterStep.casesOn
|
||||
· simp [ihy ‹_›]
|
||||
· simp [ihs ‹_›]
|
||||
· simp
|
||||
|
||||
@[simp]
|
||||
theorem IterM.toList_append [Monad m] [LawfulMonad m]
|
||||
[Iterator α₁ m β] [Iterator α₂ m β] [Finite α₁ m] [Finite α₂ m]
|
||||
{it₁ : IterM (α := α₁) m β} {it₂ : IterM (α := α₂) m β} :
|
||||
(it₁.append it₂).toList = (do
|
||||
let l₁ ← it₁.toList
|
||||
let l₂ ← it₂.toList
|
||||
pure (l₁ ++ l₂)) := by
|
||||
induction it₁ using IterM.inductSteps with | step it₁ ihy ihs
|
||||
rw [toList_eq_match_step (it := it₁.append it₂), toList_eq_match_step (it := it₁)]
|
||||
simp only [step_append, bind_assoc]
|
||||
apply bind_congr; intro step
|
||||
cases step.inflate using PlausibleIterStep.casesOn
|
||||
· simp [ihy ‹_›, - bind_pure_comp]
|
||||
· simp [ihs ‹_›]
|
||||
· simp [toList_appendSnd, - bind_pure_comp]
|
||||
|
||||
@[simp]
|
||||
theorem IterM.toListRev_append [Monad m] [LawfulMonad m]
|
||||
[Iterator α₁ m β] [Iterator α₂ m β] [Finite α₁ m] [Finite α₂ m]
|
||||
{it₁ : IterM (α := α₁) m β} {it₂ : IterM (α := α₂) m β} :
|
||||
(it₁.append it₂).toListRev = (do
|
||||
let l₁ ← it₁.toListRev
|
||||
let l₂ ← it₂.toListRev
|
||||
pure (l₂ ++ l₁)) := by
|
||||
rw [toListRev_eq (it := it₁.append it₂), toList_append,
|
||||
toListRev_eq (it := it₁), toListRev_eq (it := it₂)]
|
||||
simp [map_bind, bind_pure_comp, List.reverse_append]
|
||||
|
||||
@[simp]
|
||||
theorem IterM.toArray_append [Monad m] [LawfulMonad m]
|
||||
[Iterator α₁ m β] [Iterator α₂ m β] [Finite α₁ m] [Finite α₂ m]
|
||||
{it₁ : IterM (α := α₁) m β} {it₂ : IterM (α := α₂) m β} :
|
||||
(it₁.append it₂).toArray = (do
|
||||
let a₁ ← it₁.toArray
|
||||
let a₂ ← it₂.toArray
|
||||
pure (a₁ ++ a₂)) := by
|
||||
rw [← toArray_toList (it := it₁.append it₂), toList_append,
|
||||
← toArray_toList (it := it₁), ← toArray_toList (it := it₂)]
|
||||
simp [map_bind, - bind_pure_comp, ← List.toArray_appendList, - toArray_toList]
|
||||
|
||||
end Std
|
||||
@@ -21,14 +21,14 @@ open Std.Internal Std.Iterators
|
||||
theorem IterM.step_flattenAfter {α α₂ β : Type w} {m : Type w → Type w'} [Monad m]
|
||||
[Iterator α m (IterM (α := α₂) m β)] [Iterator α₂ m β]
|
||||
{it₁ : IterM (α := α) m (IterM (α := α₂) m β)} {it₂ : Option (IterM (α := α₂) m β)} :
|
||||
(it₁.flattenAfter it₂).step = (do
|
||||
(it₁.flattenAfter it₂).step = (
|
||||
match it₂ with
|
||||
| none =>
|
||||
| none => do
|
||||
match (← it₁.step).inflate with
|
||||
| .yield it₁' it₂' h => return .deflate (.skip (it₁'.flattenAfter (some it₂')) (.outerYield h))
|
||||
| .skip it₁' h => return .deflate (.skip (it₁'.flattenAfter none) (.outerSkip h))
|
||||
| .done h => return .deflate (.done (.outerDone h))
|
||||
| some it₂ =>
|
||||
| some it₂ => do
|
||||
match (← it₂.step).inflate with
|
||||
| .yield it₂' out h => return .deflate (.yield (it₁.flattenAfter (some it₂')) out (.innerYield h))
|
||||
| .skip it₂' h => return .deflate (.skip (it₁.flattenAfter (some it₂')) (.innerSkip h))
|
||||
@@ -130,16 +130,16 @@ public theorem IterM.step_flatMapAfterM {α : Type w} {β : Type w} {α₂ : Typ
|
||||
{γ : Type w} {m : Type w → Type w'} [Monad m] [MonadAttach m] [LawfulMonad m] [WeaklyLawfulMonadAttach m]
|
||||
[Iterator α m β] [Iterator α₂ m γ] {f : β → m (IterM (α := α₂) m γ)} {it₁ : IterM (α := α) m β}
|
||||
{it₂ : Option (IterM (α := α₂) m γ)} :
|
||||
(it₁.flatMapAfterM f it₂).step = (do
|
||||
(it₁.flatMapAfterM f it₂).step = (
|
||||
match it₂ with
|
||||
| none =>
|
||||
| none => do
|
||||
match (← it₁.step).inflate with
|
||||
| .yield it₁' b h =>
|
||||
let fx ← MonadAttach.attach (f b)
|
||||
return .deflate (.skip (it₁'.flatMapAfterM f (some fx.val)) (.outerYield_flatMapM h fx.property))
|
||||
| .skip it₁' h => return .deflate (.skip (it₁'.flatMapAfterM f none) (.outerSkip_flatMapM h))
|
||||
| .done h => return .deflate (.done (.outerDone_flatMapM h))
|
||||
| some it₂ =>
|
||||
| some it₂ => do
|
||||
match (← it₂.step).inflate with
|
||||
| .yield it₂' out h => return .deflate (.yield (it₁.flatMapAfterM f (some it₂')) out (.innerYield_flatMapM h))
|
||||
| .skip it₂' h => return .deflate (.skip (it₁.flatMapAfterM f (some it₂')) (.innerSkip_flatMapM h))
|
||||
@@ -171,15 +171,15 @@ public theorem IterM.step_flatMapM {α : Type w} {β : Type w} {α₂ : Type w}
|
||||
public theorem IterM.step_flatMapAfter {α : Type w} {β : Type w} {α₂ : Type w}
|
||||
{γ : Type w} {m : Type w → Type w'} [Monad m] [LawfulMonad m] [Iterator α m β] [Iterator α₂ m γ]
|
||||
{f : β → IterM (α := α₂) m γ} {it₁ : IterM (α := α) m β} {it₂ : Option (IterM (α := α₂) m γ)} :
|
||||
(it₁.flatMapAfter f it₂).step = (do
|
||||
(it₁.flatMapAfter f it₂).step = (
|
||||
match it₂ with
|
||||
| none =>
|
||||
| none => do
|
||||
match (← it₁.step).inflate with
|
||||
| .yield it₁' b h =>
|
||||
return .deflate (.skip (it₁'.flatMapAfter f (some (f b))) (.outerYield_flatMap h))
|
||||
| .skip it₁' h => return .deflate (.skip (it₁'.flatMapAfter f none) (.outerSkip_flatMap h))
|
||||
| .done h => return .deflate (.done (.outerDone_flatMap h))
|
||||
| some it₂ =>
|
||||
| some it₂ => do
|
||||
match (← it₂.step).inflate with
|
||||
| .yield it₂' out h => return .deflate (.yield (it₁.flatMapAfter f (some it₂')) out (.innerYield_flatMap h))
|
||||
| .skip it₂' h => return .deflate (.skip (it₁.flatMapAfter f (some it₂')) (.innerSkip_flatMap h))
|
||||
|
||||
@@ -32,7 +32,7 @@ theorem Iter.forIn'_eq {α β : Type w} [Iterator α Id β] [Finite α Id]
|
||||
IterM.DefaultConsumers.forIn' (n := m) (fun _ _ f x => f x.run) γ (fun _ _ _ => True)
|
||||
it.toIterM init _ (fun _ => id)
|
||||
(fun out h acc => return ⟨← f out (Iter.isPlausibleIndirectOutput_iff_isPlausibleIndirectOutput_toIterM.mpr h) acc, trivial⟩) := by
|
||||
simp +instances only [instForIn', ForIn'.forIn', IteratorLoop.finiteForIn']
|
||||
simp +instances only [ForIn'.forIn']
|
||||
have : ∀ a b c, f a b c = (Subtype.val <$> (⟨·, trivial⟩) <$> f a b c) := by simp
|
||||
simp +singlePass only [this]
|
||||
rw [hl.lawful (fun _ _ f x => f x.run) (wf := IteratorLoop.wellFounded_of_finite)]
|
||||
@@ -81,7 +81,7 @@ theorem Iter.forIn'_eq_forIn'_toIterM {α β : Type w} [Iterator α Id β]
|
||||
letI : ForIn' m (IterM (α := α) Id β) β _ := IterM.instForIn'
|
||||
ForIn'.forIn' it.toIterM init
|
||||
(fun out h acc => f out (isPlausibleIndirectOutput_iff_isPlausibleIndirectOutput_toIterM.mpr h) acc) := by
|
||||
simp +instances [ForIn'.forIn', Iter.instForIn', IterM.instForIn', monadLift]
|
||||
simp +instances [ForIn'.forIn', monadLift]
|
||||
|
||||
theorem Iter.forIn_eq_forIn_toIterM {α β : Type w} [Iterator α Id β]
|
||||
[Finite α Id] {m : Type w → Type w''} [Monad m] [LawfulMonad m]
|
||||
@@ -395,7 +395,7 @@ theorem Iter.fold_eq_fold_toIterM {α β : Type w} {γ : Type w} [Iterator α Id
|
||||
[Finite α Id] [IteratorLoop α Id Id]
|
||||
{f : γ → β → γ} {init : γ} {it : Iter (α := α) β} :
|
||||
it.fold (init := init) f = (it.toIterM.fold (init := init) f).run := by
|
||||
rw [fold_eq_foldM, foldM_eq_foldM_toIterM, IterM.fold_eq_foldM]; rfl
|
||||
rw [fold_eq_foldM, foldM_eq_foldM_toIterM, IterM.fold_eq_foldM]
|
||||
|
||||
@[simp]
|
||||
theorem Iter.forIn_pure_yield_eq_fold {α β : Type w} {γ : Type x} [Iterator α Id β]
|
||||
|
||||
@@ -109,7 +109,7 @@ theorem IterM.forIn'_eq {α β : Type w} {m : Type w → Type w'} [Iterator α m
|
||||
letI : ForIn' n (IterM (α := α) m β) β _ := IterM.instForIn'
|
||||
ForIn'.forIn' (α := β) (m := n) it init f = IterM.DefaultConsumers.forIn' (n := n)
|
||||
(fun _ _ f x => monadLift x >>= f) γ (fun _ _ _ => True) it init _ (fun _ => id) (return ⟨← f · · ·, trivial⟩) := by
|
||||
simp +instances only [instForIn', ForIn'.forIn', IteratorLoop.finiteForIn']
|
||||
simp +instances only [ForIn'.forIn']
|
||||
have : f = (Subtype.val <$> (⟨·, trivial⟩) <$> f · · ·) := by simp
|
||||
rw [this, hl.lawful (fun _ _ f x => monadLift x >>= f) (wf := IteratorLoop.wellFounded_of_finite)]
|
||||
simp +instances [IteratorLoop.defaultImplementation]
|
||||
|
||||
@@ -32,14 +32,14 @@ def ToIterator.iter [ToIterator γ Id α β] (x : γ) : Iter (α := α) β :=
|
||||
ToIterator.iterM x |>.toIter
|
||||
|
||||
/-- Creates a monadic `ToIterator` instance. -/
|
||||
@[always_inline, inline, expose, instance_reducible]
|
||||
@[always_inline, inline, expose, implicit_reducible]
|
||||
def ToIterator.ofM (α : Type w)
|
||||
(iterM : γ → IterM (α := α) m β) :
|
||||
ToIterator γ m α β where
|
||||
iterMInternal x := iterM x
|
||||
|
||||
/-- Creates a pure `ToIterator` instance. -/
|
||||
@[always_inline, inline, expose, instance_reducible]
|
||||
@[always_inline, inline, expose, implicit_reducible]
|
||||
def ToIterator.of (α : Type w)
|
||||
(iter : γ → Iter (α := α) β) :
|
||||
ToIterator γ Id α β where
|
||||
|
||||
@@ -236,7 +236,6 @@ theorem getElem?_eq_some_iff {l : List α} : l[i]? = some a ↔ ∃ h : i < l.le
|
||||
· match i, h with
|
||||
| i + 1, h => simp [getElem?_eq_some_iff, Nat.succ_lt_succ_iff]
|
||||
|
||||
@[grind →]
|
||||
theorem getElem_of_getElem? {l : List α} : l[i]? = some a → ∃ h : i < l.length, l[i] = a :=
|
||||
getElem?_eq_some_iff.mp
|
||||
|
||||
@@ -937,6 +936,12 @@ theorem getElem_zero_eq_head {l : List α} (h : 0 < l.length) :
|
||||
| nil => simp at h
|
||||
| cons _ _ => simp
|
||||
|
||||
theorem head!_eq_getElem! [Inhabited α] {l : List α} : head! l = l[0]! := by
|
||||
cases l <;> rfl
|
||||
|
||||
theorem headD_eq_getD {l : List α} {fallback} : headD l fallback = l.getD 0 fallback := by
|
||||
cases l <;> rfl
|
||||
|
||||
theorem head_eq_iff_head?_eq_some {xs : List α} (h) : xs.head h = a ↔ xs.head? = some a := by
|
||||
cases xs with
|
||||
| nil => simp at h
|
||||
|
||||
@@ -225,7 +225,7 @@ theorem forM_toArray [Monad m] (l : List α) (f : α → m PUnit) :
|
||||
@[simp, grind =] theorem findSomeM?_toArray [Monad m] [LawfulMonad m] (f : α → m (Option β)) (l : List α) :
|
||||
l.toArray.findSomeM? f = l.findSomeM? f := by
|
||||
rw [Array.findSomeM?]
|
||||
simp only [bind_pure_comp, map_pure, forIn_toArray]
|
||||
simp only [forIn_toArray]
|
||||
induction l with
|
||||
| nil => simp
|
||||
| cons a l ih =>
|
||||
@@ -258,7 +258,7 @@ theorem findRevM?_toArray [Monad m] [LawfulMonad m] (f : α → m Bool) (l : Lis
|
||||
@[simp, grind =] theorem findM?_toArray [Monad m] [LawfulMonad m] (f : α → m Bool) (l : List α) :
|
||||
l.toArray.findM? f = l.findM? f := by
|
||||
rw [Array.findM?]
|
||||
simp only [bind_pure_comp, map_pure, forIn_toArray]
|
||||
simp only [forIn_toArray]
|
||||
induction l with
|
||||
| nil => simp
|
||||
| cons a l ih =>
|
||||
|
||||
@@ -478,7 +478,7 @@ instance : Std.Trichotomous (. < . : Nat → Nat → Prop) where
|
||||
|
||||
set_option linter.missingDocs false in
|
||||
@[deprecated Nat.instTrichotomousLt (since := "2025-10-27")]
|
||||
def Nat.instAntisymmNotLt : Std.Antisymm (¬ . < . : Nat → Nat → Prop) where
|
||||
theorem Nat.instAntisymmNotLt : Std.Antisymm (¬ . < . : Nat → Nat → Prop) where
|
||||
antisymm := Nat.instTrichotomousLt.trichotomous
|
||||
|
||||
protected theorem add_le_add_left {n m : Nat} (h : n ≤ m) (k : Nat) : k + n ≤ k + m :=
|
||||
|
||||
@@ -172,10 +172,10 @@ instance [Monad m] : ForM m (Option α) α :=
|
||||
⟨Option.forM⟩
|
||||
|
||||
instance [Monad m] : ForIn' m (Option α) α inferInstance where
|
||||
forIn' x init f := do
|
||||
forIn' x init f :=
|
||||
match x with
|
||||
| none => return init
|
||||
| some a =>
|
||||
| some a => do
|
||||
match ← f a rfl init with
|
||||
| .done r | .yield r => return r
|
||||
|
||||
|
||||
@@ -147,7 +147,7 @@ public theorem LawfulOrderMin.of_min_le {α : Type u} [Min α] [LE α]
|
||||
This lemma characterizes in terms of `LE α` when a `Max α` instance "behaves like a supremum
|
||||
operator".
|
||||
-/
|
||||
public def LawfulOrderSup.of_le {α : Type u} [Max α] [LE α]
|
||||
public theorem LawfulOrderSup.of_le {α : Type u} [Max α] [LE α]
|
||||
(max_le_iff : ∀ a b c : α, max a b ≤ c ↔ a ≤ c ∧ b ≤ c) : LawfulOrderSup α where
|
||||
max_le_iff := max_le_iff
|
||||
|
||||
@@ -159,7 +159,7 @@ instances.
|
||||
|
||||
The produced instance entails `LawfulOrderSup α` and `MaxEqOr α`.
|
||||
-/
|
||||
public def LawfulOrderMax.of_max_le_iff {α : Type u} [Max α] [LE α]
|
||||
public theorem LawfulOrderMax.of_max_le_iff {α : Type u} [Max α] [LE α]
|
||||
(max_le_iff : ∀ a b c : α, max a b ≤ c ↔ a ≤ c ∧ b ≤ c := by exact LawfulOrderInf.le_min_iff)
|
||||
(max_eq_or : ∀ a b : α, max a b = a ∨ max a b = b := by exact MaxEqOr.max_eq_or) :
|
||||
LawfulOrderMax α where
|
||||
@@ -196,7 +196,7 @@ Creates a *total* `LE α` instance from an `LT α` instance.
|
||||
|
||||
This only makes sense for asymmetric `LT α` instances (see `Std.Asymm`).
|
||||
-/
|
||||
@[inline]
|
||||
@[inline, implicit_reducible, expose]
|
||||
public def _root_.LE.ofLT (α : Type u) [LT α] : LE α where
|
||||
le a b := ¬ b < a
|
||||
|
||||
@@ -208,7 +208,7 @@ public instance LawfulOrderLT.of_lt {α : Type u} [LT α] [i : Asymm (α := α)
|
||||
haveI := LE.ofLT α
|
||||
LawfulOrderLT α :=
|
||||
letI := LE.ofLT α
|
||||
{ lt_iff a b := by simp +instances [LE.ofLT, LE.le]; apply Asymm.asymm }
|
||||
{ lt_iff a b := by simp +instances [LE.le]; apply Asymm.asymm }
|
||||
|
||||
/--
|
||||
If an `LT α` instance is asymmetric and its negation is transitive, then `LE.ofLT α` represents a
|
||||
@@ -253,7 +253,7 @@ public theorem LawfulOrderInf.of_lt {α : Type u} [Min α] [LT α]
|
||||
letI := LE.ofLT α
|
||||
{ le_min_iff a b c := by
|
||||
open Classical in
|
||||
simp +instances only [LE.ofLT, LE.le]
|
||||
simp +instances only [LE.le]
|
||||
simp [← not_or, Decidable.not_iff_not]
|
||||
simpa [Decidable.imp_iff_not_or] using min_lt_iff a b c }
|
||||
|
||||
@@ -276,14 +276,14 @@ public theorem LawfulOrderMin.of_lt {α : Type u} [Min α] [LT α]
|
||||
This lemma characterizes in terms of `LT α` when a `Max α` instance
|
||||
"behaves like an supremum operator" with respect to `LE.ofLT α`.
|
||||
-/
|
||||
public def LawfulOrderSup.of_lt {α : Type u} [Max α] [LT α]
|
||||
public theorem LawfulOrderSup.of_lt {α : Type u} [Max α] [LT α]
|
||||
(lt_max_iff : ∀ a b c : α, c < max a b ↔ c < a ∨ c < b) :
|
||||
haveI := LE.ofLT α
|
||||
LawfulOrderSup α :=
|
||||
letI := LE.ofLT α
|
||||
{ max_le_iff a b c := by
|
||||
open Classical in
|
||||
simp +instances only [LE.ofLT, LE.le]
|
||||
simp +instances only [LE.le]
|
||||
simp [← not_or, Decidable.not_iff_not]
|
||||
simpa [Decidable.imp_iff_not_or] using lt_max_iff a b c }
|
||||
|
||||
@@ -293,7 +293,7 @@ Derives a `LawfulOrderMax α` instance for `LE.ofLT` from two properties involvi
|
||||
|
||||
The produced instance entails `LawfulOrderSup α` and `MaxEqOr α`.
|
||||
-/
|
||||
public def LawfulOrderMax.of_lt {α : Type u} [Max α] [LT α]
|
||||
public theorem LawfulOrderMax.of_lt {α : Type u} [Max α] [LT α]
|
||||
(lt_max_iff : ∀ a b c : α, c < max a b ↔ c < a ∨ c < b)
|
||||
(max_eq_or : ∀ a b : α, max a b = a ∨ max a b = b) :
|
||||
haveI := LE.ofLT α
|
||||
|
||||
@@ -26,7 +26,7 @@ public def _root_.LE.ofOrd (α : Type u) [Ord α] : LE α where
|
||||
/--
|
||||
Creates an `DecidableLE α` instance using a well-behaved `Ord α` instance.
|
||||
-/
|
||||
@[inline, expose]
|
||||
@[inline, expose, implicit_reducible]
|
||||
public def _root_.DecidableLE.ofOrd (α : Type u) [LE α] [Ord α] [LawfulOrderOrd α] :
|
||||
DecidableLE α :=
|
||||
fun a b => match h : (compare a b).isLE with
|
||||
@@ -93,7 +93,7 @@ grind_pattern compare_ne_eq => compare a b, Ordering.eq where
|
||||
/--
|
||||
Creates a `DecidableLT α` instance using a well-behaved `Ord α` instance.
|
||||
-/
|
||||
@[inline, expose]
|
||||
@[inline, expose, implicit_reducible]
|
||||
public def _root_.DecidableLT.ofOrd (α : Type u) [LE α] [LT α] [Ord α] [LawfulOrderOrd α]
|
||||
[LawfulOrderLT α] :
|
||||
DecidableLT α :=
|
||||
|
||||
@@ -52,7 +52,8 @@ def max' [LE α] [DecidableLE α] (a b : α) : α :=
|
||||
Without the `open scoped` command, Lean would not find the required {lit}`DecidableLE α`
|
||||
instance for the opposite order.
|
||||
-/
|
||||
@[implicit_reducible] def LE.opposite (le : LE α) : LE α where
|
||||
@[implicit_reducible]
|
||||
def LE.opposite (le : LE α) : LE α where
|
||||
le a b := b ≤ a
|
||||
|
||||
theorem LE.opposite_def {le : LE α} :
|
||||
@@ -89,6 +90,7 @@ example [LE α] [LT α] [Std.LawfulOrderLT α] [Std.IsLinearOrder α] {x y : α}
|
||||
Without the `open scoped` command, Lean would not find the {lit}`LawfulOrderLT α`
|
||||
and {lit}`IsLinearOrder α` instances for the opposite order that are required by {name}`not_le`.
|
||||
-/
|
||||
@[implicit_reducible]
|
||||
def LT.opposite (lt : LT α) : LT α where
|
||||
lt a b := b < a
|
||||
|
||||
@@ -125,6 +127,7 @@ example [LE α] [DecidableLE α] [Min α] [Std.LawfulOrderLeftLeaningMin α] {a
|
||||
Without the `open scoped` command, Lean would not find the {lit}`LawfulOrderLeftLeaningMax α`
|
||||
instance for the opposite order that is required by {name}`max_eq_if`.
|
||||
-/
|
||||
@[implicit_reducible]
|
||||
def Min.oppositeMax (min : Min α) : Max α where
|
||||
max a b := Min.min a b
|
||||
|
||||
@@ -161,6 +164,7 @@ example [LE α] [DecidableLE α] [Max α] [Std.LawfulOrderLeftLeaningMax α] {a
|
||||
Without the `open scoped` command, Lean would not find the {lit}`LawfulOrderLeftLeaningMin α`
|
||||
instance for the opposite order that is required by {name}`min_eq_if`.
|
||||
-/
|
||||
@[implicit_reducible]
|
||||
def Max.oppositeMin (max : Max α) : Min α where
|
||||
min a b := Max.max a b
|
||||
|
||||
|
||||
@@ -47,7 +47,7 @@ public instance instLawfulOrderBEqOfDecidableLE {α : Type u} [LE α] [Decidable
|
||||
beq_iff_le_and_ge := by simp [BEq.beq]
|
||||
|
||||
/-- If `LT` can be characterized in terms of a decidable `LE`, then `LT` is decidable either. -/
|
||||
@[expose, instance_reducible]
|
||||
@[inline, expose, implicit_reducible]
|
||||
public def decidableLTOfLE {α : Type u} [LE α] {_ : LT α} [DecidableLE α] [LawfulOrderLT α] :
|
||||
DecidableLT α :=
|
||||
fun a b =>
|
||||
@@ -171,7 +171,7 @@ automatically. If it fails, it is necessary to provide some of the fields manual
|
||||
* Other proof obligations, namely `le_refl` and `le_trans`, can be omitted if `Refl` and `Trans`
|
||||
instances can be synthesized.
|
||||
-/
|
||||
@[expose, implicit_reducible]
|
||||
@[inline, expose, implicit_reducible]
|
||||
public def PreorderPackage.ofLE (α : Type u)
|
||||
(args : Packages.PreorderOfLEArgs α := by exact {}) : PreorderPackage α where
|
||||
toLE := args.le
|
||||
@@ -256,7 +256,7 @@ automatically. If it fails, it is necessary to provide some of the fields manual
|
||||
* Other proof obligations, namely `le_refl`, `le_trans` and `le_antisymm`, can be omitted if `Refl`,
|
||||
`Trans` and `Antisymm` instances can be synthesized.
|
||||
-/
|
||||
@[expose, implicit_reducible]
|
||||
@[inline, expose, implicit_reducible]
|
||||
public def PartialOrderPackage.ofLE (α : Type u)
|
||||
(args : Packages.PartialOrderOfLEArgs α := by exact {}) : PartialOrderPackage α where
|
||||
toPreorderPackage := .ofLE α args.toPreorderOfLEArgs
|
||||
@@ -385,7 +385,7 @@ automatically. If it fails, it is necessary to provide some of the fields manual
|
||||
* Other proof obligations, namely `le_total` and `le_trans`, can be omitted if `Total` and `Trans`
|
||||
instances can be synthesized.
|
||||
-/
|
||||
@[expose, implicit_reducible]
|
||||
@[inline, expose, implicit_reducible]
|
||||
public def LinearPreorderPackage.ofLE (α : Type u)
|
||||
(args : Packages.LinearPreorderOfLEArgs α := by exact {}) : LinearPreorderPackage α where
|
||||
toPreorderPackage := .ofLE α args.toPreorderOfLEArgs
|
||||
@@ -487,7 +487,7 @@ automatically. If it fails, it is necessary to provide some of the fields manual
|
||||
* Other proof obligations, namely `le_total`, `le_trans` and `le_antisymm`, can be omitted if
|
||||
`Total`, `Trans` and `Antisymm` instances can be synthesized.
|
||||
-/
|
||||
@[expose, implicit_reducible]
|
||||
@[inline, expose, implicit_reducible]
|
||||
public def LinearOrderPackage.ofLE (α : Type u)
|
||||
(args : Packages.LinearOrderOfLEArgs α := by exact {}) : LinearOrderPackage α where
|
||||
toLinearPreorderPackage := .ofLE α args.toLinearPreorderOfLEArgs
|
||||
@@ -647,7 +647,7 @@ automatically. If it fails, it is necessary to provide some of the fields manual
|
||||
* Other proof obligations, for example `transOrd`, can be omitted if a matching instance can be
|
||||
synthesized.
|
||||
-/
|
||||
@[expose, instance_reducible]
|
||||
@[inline, expose, implicit_reducible]
|
||||
public def LinearPreorderPackage.ofOrd (α : Type u)
|
||||
(args : Packages.LinearPreorderOfOrdArgs α := by exact {}) : LinearPreorderPackage α :=
|
||||
letI := args.ord
|
||||
@@ -793,7 +793,7 @@ automatically. If it fails, it is necessary to provide some of the fields manual
|
||||
* Other proof obligations, such as `transOrd`, can be omitted if matching instances can be
|
||||
synthesized.
|
||||
-/
|
||||
@[expose, instance_reducible]
|
||||
@[inline, expose, implicit_reducible]
|
||||
public def LinearOrderPackage.ofOrd (α : Type u)
|
||||
(args : Packages.LinearOrderOfOrdArgs α := by exact {}) : LinearOrderPackage α :=
|
||||
-- set_option backward.isDefEq.respectTransparency false in
|
||||
|
||||
@@ -597,8 +597,7 @@ instance Iterator.instLawfulIteratorLoop [UpwardEnumerable α] [LE α] [Decidabl
|
||||
LawfulIteratorLoop (Rxc.Iterator α) Id n where
|
||||
lawful := by
|
||||
intro lift instLawfulMonadLiftFunction γ it init Pl wf f
|
||||
simp +instances only [IteratorLoop.defaultImplementation, IteratorLoop.forIn,
|
||||
IterM.DefaultConsumers.forIn'_eq_wf Pl wf]
|
||||
simp +instances only [IteratorLoop.forIn, IterM.DefaultConsumers.forIn'_eq_wf Pl wf]
|
||||
rw [IterM.DefaultConsumers.forIn'.wf]
|
||||
split; rotate_left
|
||||
· simp only [IterM.step_eq,
|
||||
@@ -1173,8 +1172,7 @@ instance Iterator.instLawfulIteratorLoop [UpwardEnumerable α] [LT α] [Decidabl
|
||||
LawfulIteratorLoop (Rxo.Iterator α) Id n where
|
||||
lawful := by
|
||||
intro lift instLawfulMonadLiftFunction γ it init Pl wf f
|
||||
simp +instances only [IteratorLoop.defaultImplementation, IteratorLoop.forIn,
|
||||
IterM.DefaultConsumers.forIn'_eq_wf Pl wf]
|
||||
simp +instances only [IteratorLoop.forIn, IterM.DefaultConsumers.forIn'_eq_wf Pl wf]
|
||||
rw [IterM.DefaultConsumers.forIn'.wf]
|
||||
split; rotate_left
|
||||
· simp [IterM.step_eq, Monadic.step, Internal.LawfulMonadLiftBindFunction.liftBind_pure (liftBind := lift)]
|
||||
@@ -1639,8 +1637,7 @@ instance Iterator.instLawfulIteratorLoop [UpwardEnumerable α]
|
||||
LawfulIteratorLoop (Rxi.Iterator α) Id n where
|
||||
lawful := by
|
||||
intro lift instLawfulMonadLiftFunction γ it init Pl wf f
|
||||
simp +instances only [IteratorLoop.defaultImplementation, IteratorLoop.forIn,
|
||||
IterM.DefaultConsumers.forIn'_eq_wf Pl wf]
|
||||
simp +instances only [IteratorLoop.forIn, IterM.DefaultConsumers.forIn'_eq_wf Pl wf]
|
||||
rw [IterM.DefaultConsumers.forIn'.wf]
|
||||
split; rotate_left
|
||||
· simp [Monadic.step_eq_step, Monadic.step, Internal.LawfulMonadLiftBindFunction.liftBind_pure]
|
||||
|
||||
@@ -438,6 +438,7 @@ protected theorem UpwardEnumerable.le_iff {α : Type u} [LE α] [UpwardEnumerabl
|
||||
[LawfulUpwardEnumerableLE α] {a b : α} : a ≤ b ↔ UpwardEnumerable.LE a b :=
|
||||
LawfulUpwardEnumerableLE.le_iff a b
|
||||
|
||||
@[expose, implicit_reducible]
|
||||
def UpwardEnumerable.instLETransOfLawfulUpwardEnumerableLE {α : Type u} [LE α]
|
||||
[UpwardEnumerable α] [LawfulUpwardEnumerable α] [LawfulUpwardEnumerableLE α] :
|
||||
Trans (α := α) (· ≤ ·) (· ≤ ·) (· ≤ ·) where
|
||||
@@ -502,12 +503,13 @@ protected theorem UpwardEnumerable.lt_succ_iff {α : Type u} [UpwardEnumerable
|
||||
← succMany?_eq_some_iff_succMany] at hn
|
||||
exact ⟨n, hn⟩
|
||||
|
||||
@[expose, implicit_reducible]
|
||||
def UpwardEnumerable.instLTTransOfLawfulUpwardEnumerableLT {α : Type u} [LT α]
|
||||
[UpwardEnumerable α] [LawfulUpwardEnumerable α] [LawfulUpwardEnumerableLT α] :
|
||||
Trans (α := α) (· < ·) (· < ·) (· < ·) where
|
||||
trans := by simpa [UpwardEnumerable.lt_iff] using @UpwardEnumerable.lt_trans
|
||||
|
||||
def UpwardEnumerable.instLawfulOrderLTOfLawfulUpwardEnumerableLT {α : Type u} [LT α] [LE α]
|
||||
theorem UpwardEnumerable.instLawfulOrderLTOfLawfulUpwardEnumerableLT {α : Type u} [LT α] [LE α]
|
||||
[UpwardEnumerable α] [LawfulUpwardEnumerable α] [LawfulUpwardEnumerableLT α]
|
||||
[LawfulUpwardEnumerableLE α] :
|
||||
LawfulOrderLT α where
|
||||
|
||||
@@ -11,6 +11,7 @@ public import Init.Data.OfScientific
|
||||
public import Init.Data.Int.DivMod.Basic
|
||||
public import Init.Data.String.Defs
|
||||
public import Init.Data.ToString.Macro
|
||||
public import Init.Data.ToString.Extra
|
||||
import Init.Data.Hashable
|
||||
import Init.Data.Int.DivMod.Bootstrap
|
||||
import Init.Data.Int.DivMod.Lemmas
|
||||
|
||||
@@ -7,6 +7,7 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Data.UInt.Basic
|
||||
public import Init.Data.ToString.Extra
|
||||
|
||||
@[expose] public section
|
||||
|
||||
|
||||
@@ -10,6 +10,7 @@ public import Init.Data.Slice.Operations
|
||||
import all Init.Data.Range.Polymorphic.Basic
|
||||
import Init.Omega
|
||||
public import Init.Data.Array.Subarray
|
||||
public import Init.Data.ToString.Extra
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -11,6 +11,7 @@ public import Init.Data.Iterators.Producers.List
|
||||
public import Init.Data.Iterators.Combinators.Take
|
||||
import all Init.Data.Range.Polymorphic.Basic
|
||||
public import Init.Data.Slice.Operations
|
||||
public import Init.Data.ToString.Extra
|
||||
|
||||
public section
|
||||
|
||||
|
||||
@@ -8,6 +8,12 @@ module
|
||||
prelude
|
||||
public import Init.Data.String.Pattern.Char
|
||||
public import Init.Data.String.Lemmas.Pattern.Basic
|
||||
public import Init.Data.String.Slice
|
||||
public import Init.Data.String.Lemmas.Pattern.Pred
|
||||
public import Init.Data.String.Search
|
||||
import all Init.Data.String.Slice
|
||||
import all Init.Data.String.Pattern.Char
|
||||
import all Init.Data.String.Search
|
||||
import Init.Data.Option.Lemmas
|
||||
import Init.Data.String.Lemmas.Basic
|
||||
import Init.Data.String.Lemmas.Order
|
||||
@@ -54,8 +60,8 @@ instance {c : Char} : LawfulForwardPatternModel c where
|
||||
dropPrefix?_eq_some_iff {s} pos := by
|
||||
simp [isLongestMatch_iff, ForwardPattern.dropPrefix?, and_comm, eq_comm (b := pos)]
|
||||
|
||||
instance {c : Char} : LawfulToForwardSearcherModel c :=
|
||||
.defaultImplementation
|
||||
theorem toSearcher_eq {c : Char} {s : Slice} :
|
||||
ToForwardSearcher.toSearcher c s = ToForwardSearcher.toSearcher (· == c) s := (rfl)
|
||||
|
||||
theorem matchesAt_iff {c : Char} {s : Slice} {pos : s.Pos} :
|
||||
MatchesAt c pos ↔ ∃ (h : pos ≠ s.endPos), pos.get h = c := by
|
||||
@@ -80,4 +86,153 @@ theorem matchAt?_eq {s : Slice} {pos : s.Pos} {c : Char} :
|
||||
if h₀ : ∃ (h : pos ≠ s.endPos), pos.get h = c then some (pos.next h₀.1) else none := by
|
||||
split <;> simp_all [isLongestMatchAt_iff, matchesAt_iff]
|
||||
|
||||
end String.Slice.Pattern.Model.Char
|
||||
theorem isMatch_iff_isMatch_beq {c : Char} {s : Slice} {pos : s.Pos} :
|
||||
IsMatch c pos ↔ IsMatch (· == c) pos := by
|
||||
simp [isMatch_iff, CharPred.isMatch_iff, beq_iff_eq]
|
||||
|
||||
theorem isLongestMatch_iff_isLongestMatch_beq {c : Char} {s : Slice} {pos : s.Pos} :
|
||||
IsLongestMatch c pos ↔ IsLongestMatch (· == c) pos := by
|
||||
simp [isLongestMatch_iff_isMatch, isMatch_iff_isMatch_beq]
|
||||
|
||||
theorem isLongestMatchAt_iff_isLongestMatchAt_beq {c : Char} {s : Slice}
|
||||
{pos pos' : s.Pos} :
|
||||
IsLongestMatchAt c pos pos' ↔ IsLongestMatchAt (· == c) pos pos' := by
|
||||
simp [Model.isLongestMatchAt_iff, isLongestMatch_iff_isLongestMatch_beq]
|
||||
|
||||
theorem matchesAt_iff_matchesAt_beq {c : Char} {s : Slice} {pos : s.Pos} :
|
||||
MatchesAt c pos ↔ MatchesAt (· == c) pos := by
|
||||
simp [matchesAt_iff_exists_isLongestMatchAt, isLongestMatchAt_iff_isLongestMatchAt_beq]
|
||||
|
||||
theorem matchAt?_eq_matchAt?_beq {c : Char} {s : Slice} {pos : s.Pos} :
|
||||
matchAt? c pos = matchAt? (· == c) pos := by
|
||||
refine Option.ext (fun pos' => ?_)
|
||||
simp [matchAt?_eq_some_iff, isLongestMatchAt_iff_isLongestMatchAt_beq]
|
||||
|
||||
theorem isValidSearchFrom_iff_isValidSearchFrom_beq {c : Char} {s : Slice} {p : s.Pos}
|
||||
{l : List (SearchStep s)} : IsValidSearchFrom c p l ↔ IsValidSearchFrom (· == c) p l := by
|
||||
refine ⟨fun h => ?_, fun h => ?_⟩
|
||||
· induction h with
|
||||
| endPos => simpa using IsValidSearchFrom.endPos
|
||||
| matched => simp_all [IsValidSearchFrom.matched, isLongestMatchAt_iff_isLongestMatchAt_beq]
|
||||
| mismatched => simp_all [IsValidSearchFrom.mismatched, matchesAt_iff_matchesAt_beq]
|
||||
· induction h with
|
||||
| endPos => simpa using IsValidSearchFrom.endPos
|
||||
| matched => simp_all [IsValidSearchFrom.matched, isLongestMatchAt_iff_isLongestMatchAt_beq]
|
||||
| mismatched => simp_all [IsValidSearchFrom.mismatched, matchesAt_iff_matchesAt_beq]
|
||||
|
||||
instance {c : Char} : LawfulToForwardSearcherModel c where
|
||||
isValidSearchFrom_toList s := by
|
||||
simpa [toSearcher_eq, isValidSearchFrom_iff_isValidSearchFrom_beq] using
|
||||
LawfulToForwardSearcherModel.isValidSearchFrom_toList (pat := (· == c)) (s := s)
|
||||
|
||||
end Pattern.Model.Char
|
||||
|
||||
theorem startsWith_char_eq_startsWith_beq {c : Char} {s : Slice} :
|
||||
s.startsWith c = s.startsWith (· == c) := (rfl)
|
||||
|
||||
theorem dropPrefix?_char_eq_dropPrefix?_beq {c : Char} {s : Slice} :
|
||||
s.dropPrefix? c = s.dropPrefix? (· == c) := (rfl)
|
||||
|
||||
theorem dropPrefix_char_eq_dropPrefix_beq {c : Char} {s : Slice} :
|
||||
s.dropPrefix c = s.dropPrefix (· == c) := (rfl)
|
||||
|
||||
theorem Pattern.ForwardPattern.dropPrefix?_char_eq_dropPrefix?_beq {c : Char} {s : Slice} :
|
||||
dropPrefix? c s = dropPrefix? (· == c) s := (rfl)
|
||||
|
||||
private theorem dropWhileGo_eq {c : Char} {s : Slice} (curr : s.Pos) :
|
||||
dropWhile.go s c curr = dropWhile.go s (· == c) curr := by
|
||||
fun_induction dropWhile.go s c curr with
|
||||
| case1 pos nextCurr h₁ h₂ ih =>
|
||||
conv => rhs; rw [dropWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_char_eq_dropPrefix?_beq, h₁, h₂, ih]
|
||||
| case2 pos nextCurr h ih =>
|
||||
conv => rhs; rw [dropWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_char_eq_dropPrefix?_beq, h, ih]
|
||||
| case3 pos h =>
|
||||
conv => rhs; rw [dropWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_char_eq_dropPrefix?_beq]
|
||||
|
||||
theorem dropWhile_char_eq_dropWhile_beq {c : Char} {s : Slice} :
|
||||
s.dropWhile c = s.dropWhile (· == c) := by
|
||||
simpa only [dropWhile] using dropWhileGo_eq s.startPos
|
||||
|
||||
private theorem takeWhileGo_eq {c : Char} {s : Slice} (curr : s.Pos) :
|
||||
takeWhile.go s c curr = takeWhile.go s (· == c) curr := by
|
||||
fun_induction takeWhile.go s c curr with
|
||||
| case1 pos nextCurr h₁ h₂ ih =>
|
||||
conv => rhs; rw [takeWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_char_eq_dropPrefix?_beq, h₁, h₂, ih]
|
||||
| case2 pos nextCurr h ih =>
|
||||
conv => rhs; rw [takeWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_char_eq_dropPrefix?_beq, h, ih]
|
||||
| case3 pos h =>
|
||||
conv => rhs; rw [takeWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_char_eq_dropPrefix?_beq]
|
||||
|
||||
theorem takeWhile_char_eq_takeWhile_beq {c : Char} {s : Slice} :
|
||||
s.takeWhile c = s.takeWhile (· == c) := by
|
||||
simp only [takeWhile]; exact takeWhileGo_eq s.startPos
|
||||
|
||||
theorem all_char_eq_all_beq {c : Char} {s : Slice} :
|
||||
s.all c = s.all (· == c) := by
|
||||
simp only [all, dropWhile_char_eq_dropWhile_beq]
|
||||
|
||||
theorem find?_char_eq_find?_beq {c : Char} {s : Slice} :
|
||||
s.find? c = s.find? (· == c) :=
|
||||
(rfl)
|
||||
|
||||
theorem Pos.find?_char_eq_find?_beq {c : Char} {s : Slice} {p : s.Pos} :
|
||||
p.find? c = p.find? (· == c) :=
|
||||
(rfl)
|
||||
|
||||
theorem contains_char_eq_contains_beq {c : Char} {s : Slice} :
|
||||
s.contains c = s.contains (· == c) :=
|
||||
(rfl)
|
||||
|
||||
theorem endsWith_char_eq_endsWith_beq {c : Char} {s : Slice} :
|
||||
s.endsWith c = s.endsWith (· == c) := (rfl)
|
||||
|
||||
theorem dropSuffix?_char_eq_dropSuffix?_beq {c : Char} {s : Slice} :
|
||||
s.dropSuffix? c = s.dropSuffix? (· == c) := (rfl)
|
||||
|
||||
theorem dropSuffix_char_eq_dropSuffix_beq {c : Char} {s : Slice} :
|
||||
s.dropSuffix c = s.dropSuffix (· == c) := (rfl)
|
||||
|
||||
theorem Pattern.BackwardPattern.dropSuffix?_char_eq_dropSuffix?_beq {c : Char} {s : Slice} :
|
||||
dropSuffix? c s = dropSuffix? (· == c) s := (rfl)
|
||||
|
||||
private theorem dropEndWhileGo_eq {c : Char} {s : Slice} (curr : s.Pos) :
|
||||
dropEndWhile.go s c curr = dropEndWhile.go s (· == c) curr := by
|
||||
fun_induction dropEndWhile.go s c curr with
|
||||
| case1 pos nextCurr h₁ h₂ ih =>
|
||||
conv => rhs; rw [dropEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_char_eq_dropSuffix?_beq, h₁, h₂, ih]
|
||||
| case2 pos nextCurr h ih =>
|
||||
conv => rhs; rw [dropEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_char_eq_dropSuffix?_beq, h, ih]
|
||||
| case3 pos h =>
|
||||
conv => rhs; rw [dropEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_char_eq_dropSuffix?_beq]
|
||||
|
||||
theorem dropEndWhile_char_eq_dropEndWhile_beq {c : Char} {s : Slice} :
|
||||
s.dropEndWhile c = s.dropEndWhile (· == c) := by
|
||||
simpa only [dropEndWhile] using dropEndWhileGo_eq s.endPos
|
||||
|
||||
private theorem takeEndWhileGo_eq {c : Char} {s : Slice} (curr : s.Pos) :
|
||||
takeEndWhile.go s c curr = takeEndWhile.go s (· == c) curr := by
|
||||
fun_induction takeEndWhile.go s c curr with
|
||||
| case1 pos nextCurr h₁ h₂ ih =>
|
||||
conv => rhs; rw [takeEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_char_eq_dropSuffix?_beq, h₁, h₂, ih]
|
||||
| case2 pos nextCurr h ih =>
|
||||
conv => rhs; rw [takeEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_char_eq_dropSuffix?_beq, h, ih]
|
||||
| case3 pos h =>
|
||||
conv => rhs; rw [takeEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_char_eq_dropSuffix?_beq]
|
||||
|
||||
theorem takeEndWhile_char_eq_takeEndWhile_beq {c : Char} {s : Slice} :
|
||||
s.takeEndWhile c = s.takeEndWhile (· == c) := by
|
||||
simpa only [takeEndWhile] using takeEndWhileGo_eq s.endPos
|
||||
|
||||
end String.Slice
|
||||
|
||||
@@ -7,6 +7,8 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Data.String.Slice
|
||||
public import Init.Data.String.Search
|
||||
public import Init.Data.String.Lemmas.Splits
|
||||
import Init.Data.String.Lemmas.Pattern.Find.Basic
|
||||
import Init.Data.String.Lemmas.Pattern.Char
|
||||
import Init.Data.String.Lemmas.Basic
|
||||
@@ -17,6 +19,8 @@ import Init.Grind
|
||||
import Init.Data.Option.Lemmas
|
||||
import Init.Data.String.OrderInstances
|
||||
|
||||
public section
|
||||
|
||||
namespace String.Slice
|
||||
|
||||
theorem find?_char_eq_some_iff {c : Char} {s : Slice} {pos : s.Pos} :
|
||||
@@ -98,7 +102,7 @@ end Slice
|
||||
theorem Pos.find?_char_eq_some_iff {c : Char} {s : String} {pos pos' : s.Pos} :
|
||||
pos.find? c = some pos' ↔
|
||||
pos ≤ pos' ∧ (∃ h, pos'.get h = c) ∧
|
||||
∀ pos'', pos ≤ pos'' → (h' : pos'' < pos') → pos''.get (Pos.ne_endPos_of_lt h') ≠ c := by
|
||||
∀ pos'', pos ≤ pos'' → (h' : pos'' < pos') → pos''.get (by exact Pos.ne_endPos_of_lt h') ≠ c := by
|
||||
simp only [Pos.find?_eq_find?_toSlice, Option.map_eq_some_iff,
|
||||
Slice.Pos.find?_char_eq_some_iff, ne_eq, endPos_toSlice]
|
||||
refine ⟨?_, ?_⟩
|
||||
@@ -143,9 +147,21 @@ theorem Pos.find?_char_eq_none_iff_not_mem_of_splits {c : Char} {s : String} {po
|
||||
rw [Pos.find?_eq_find?_toSlice, Option.map_eq_none_iff]
|
||||
exact Slice.Pos.find?_char_eq_none_iff_not_mem_of_splits (Pos.splits_toSlice_iff.mpr hs)
|
||||
|
||||
theorem Pos.find?_char_eq_find?_beq {c : Char} {s : String} {pos : s.Pos} :
|
||||
pos.find? c = pos.find? (· == c) := by
|
||||
simp only [Pos.find?_eq_find?_toSlice, Slice.Pos.find?_char_eq_find?_beq]
|
||||
|
||||
theorem find?_char_eq_find?_beq {c : Char} {s : String} :
|
||||
s.find? c = s.find? (· == c) := by
|
||||
simp only [find?_eq_find?_toSlice, Slice.find?_char_eq_find?_beq]
|
||||
|
||||
theorem contains_char_eq_contains_beq {c : Char} {s : String} :
|
||||
s.contains c = s.contains (· == c) := by
|
||||
simp only [contains_eq_contains_toSlice, Slice.contains_char_eq_contains_beq]
|
||||
|
||||
theorem find?_char_eq_some_iff {c : Char} {s : String} {pos : s.Pos} :
|
||||
s.find? c = some pos ↔
|
||||
∃ h, pos.get h = c ∧ ∀ pos', (h' : pos' < pos) → pos'.get (Pos.ne_endPos_of_lt h') ≠ c := by
|
||||
∃ h, pos.get h = c ∧ ∀ pos', (h' : pos' < pos) → pos'.get (by exact Pos.ne_endPos_of_lt h') ≠ c := by
|
||||
simp only [find?_eq_find?_toSlice, Option.map_eq_some_iff, Slice.find?_char_eq_some_iff, ne_eq,
|
||||
endPos_toSlice, exists_and_right]
|
||||
refine ⟨?_, ?_⟩
|
||||
|
||||
@@ -7,6 +7,10 @@ module
|
||||
|
||||
prelude
|
||||
public import Init.Data.String.Slice
|
||||
public import Init.Data.String.Search
|
||||
public import Init.Data.String.Lemmas.Splits
|
||||
import all Init.Data.String.Slice
|
||||
import all Init.Data.String.Search
|
||||
import Init.Data.String.Lemmas.Pattern.Find.Basic
|
||||
import Init.Data.String.Lemmas.Pattern.Pred
|
||||
import Init.Data.String.Lemmas.Basic
|
||||
@@ -17,6 +21,8 @@ import Init.Grind
|
||||
import Init.Data.Option.Lemmas
|
||||
import Init.Data.String.OrderInstances
|
||||
|
||||
public section
|
||||
|
||||
namespace String.Slice
|
||||
|
||||
theorem find?_bool_eq_some_iff {p : Char → Bool} {s : Slice} {pos : s.Pos} :
|
||||
@@ -27,7 +33,8 @@ theorem find?_bool_eq_some_iff {p : Char → Bool} {s : Slice} {pos : s.Pos} :
|
||||
theorem find?_prop_eq_some_iff {p : Char → Prop} [DecidablePred p] {s : Slice} {pos : s.Pos} :
|
||||
s.find? p = some pos ↔
|
||||
∃ h, p (pos.get h) ∧ ∀ pos', (h' : pos' < pos) → ¬ p (pos'.get (Pos.ne_endPos_of_lt h')) := by
|
||||
grind [Pattern.Model.find?_eq_some_iff, Pattern.Model.CharPred.Decidable.matchesAt_iff]
|
||||
simp only [find?_prop_eq_find?_decide, find?_bool_eq_some_iff, decide_eq_true_eq,
|
||||
decide_eq_false_iff_not]
|
||||
|
||||
theorem find?_bool_eq_some_iff_splits {p : Char → Bool} {s : Slice} {pos : s.Pos} :
|
||||
s.find? p = some pos ↔
|
||||
@@ -48,17 +55,8 @@ theorem find?_prop_eq_some_iff_splits {p : Char → Prop} [DecidablePred p] {s :
|
||||
{pos : s.Pos} :
|
||||
s.find? p = some pos ↔
|
||||
∃ t c u, pos.Splits t (singleton c ++ u) ∧ p c ∧ ∀ d ∈ t.toList, ¬ p d := by
|
||||
rw [find?_prop_eq_some_iff]
|
||||
refine ⟨?_, ?_⟩
|
||||
· rintro ⟨h, hp, hmin⟩
|
||||
exact ⟨_, _, _, pos.splits_next_right h, hp, fun d hd => by
|
||||
obtain ⟨pos', hlt, hpget⟩ := (pos.splits_next_right h).mem_toList_left_iff.mp hd
|
||||
subst hpget; exact hmin _ hlt⟩
|
||||
· rintro ⟨t, c, u, hs, hpc, hmin⟩
|
||||
have hne := hs.ne_endPos_of_singleton
|
||||
refine ⟨hne, ?_, fun pos' hlt => hmin _ (hs.mem_toList_left_iff.mpr ⟨pos', hlt, rfl⟩)⟩
|
||||
rw [(singleton_append_inj.mp (hs.eq_right (pos.splits_next_right hne))).1.symm]
|
||||
exact hpc
|
||||
simp only [find?_prop_eq_find?_decide, find?_bool_eq_some_iff_splits, decide_eq_true_eq,
|
||||
decide_eq_false_iff_not]
|
||||
|
||||
@[simp]
|
||||
theorem contains_bool_eq {p : Char → Bool} {s : Slice} : s.contains p = s.copy.toList.any p := by
|
||||
@@ -70,10 +68,7 @@ theorem contains_bool_eq {p : Char → Bool} {s : Slice} : s.contains p = s.copy
|
||||
@[simp]
|
||||
theorem contains_prop_eq {p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
s.contains p = s.copy.toList.any p := by
|
||||
rw [Bool.eq_iff_iff, Pattern.Model.contains_eq_true_iff]
|
||||
simp only [Pattern.Model.CharPred.Decidable.matchesAt_iff, ne_eq, List.any_eq_true,
|
||||
mem_toList_copy_iff_exists_get, decide_eq_true_eq]
|
||||
exact ⟨fun ⟨pos, h, hp⟩ => ⟨_, ⟨_, _, rfl⟩, hp⟩, fun ⟨_, ⟨p, h, h'⟩, hp⟩ => ⟨p, h, h' ▸ hp⟩⟩
|
||||
rw [contains_prop_eq_contains_decide, contains_bool_eq]
|
||||
|
||||
theorem Pos.find?_bool_eq_some_iff {p : Char → Bool} {s : Slice} {pos pos' : s.Pos} :
|
||||
pos.find? p = some pos' ↔
|
||||
@@ -141,69 +136,53 @@ theorem Pos.find?_prop_eq_some_iff {p : Char → Prop} [DecidablePred p] {s : Sl
|
||||
pos ≤ pos' ∧ (∃ h, p (pos'.get h)) ∧
|
||||
∀ pos'', pos ≤ pos'' → (h' : pos'' < pos') →
|
||||
¬ p (pos''.get (Pos.ne_endPos_of_lt h')) := by
|
||||
grind [Pattern.Model.posFind?_eq_some_iff, Pattern.Model.CharPred.Decidable.matchesAt_iff]
|
||||
simp only [Pos.find?_prop_eq_find?_decide, Pos.find?_bool_eq_some_iff, decide_eq_true_eq,
|
||||
decide_eq_false_iff_not]
|
||||
|
||||
theorem Pos.find?_prop_eq_some_iff_splits {p : Char → Prop} [DecidablePred p] {s : Slice}
|
||||
{pos : s.Pos} {t u : String} (hs : pos.Splits t u) {pos' : s.Pos} :
|
||||
pos.find? p = some pos' ↔
|
||||
∃ v c w, pos'.Splits (t ++ v) (singleton c ++ w) ∧ p c ∧ ∀ d ∈ v.toList, ¬ p d := by
|
||||
rw [Pos.find?_prop_eq_some_iff]
|
||||
refine ⟨?_, ?_⟩
|
||||
· rintro ⟨hle, ⟨hne, hp⟩, hmin⟩
|
||||
have hsplit := pos'.splits_next_right hne
|
||||
obtain ⟨v, hv1, hv2⟩ := (hs.le_iff_exists_eq_append hsplit).mp hle
|
||||
refine ⟨v, pos'.get hne, _, hsplit.of_eq hv1 rfl, hp, fun d hd => ?_⟩
|
||||
obtain ⟨_, hcopy⟩ :=
|
||||
Slice.copy_slice_eq_iff_splits.mpr ⟨t, _, hs.of_eq rfl hv2, hsplit.of_eq hv1 rfl⟩
|
||||
rw [← hcopy] at hd
|
||||
obtain ⟨q, hq, hqget⟩ := mem_toList_copy_iff_exists_get.mp hd
|
||||
have hlt : Pos.ofSlice q < pos' := by
|
||||
simpa [← Slice.Pos.lt_endPos_iff, ← Pos.ofSlice_lt_ofSlice_iff] using hq
|
||||
subst hqget; rw [Slice.Pos.get_eq_get_ofSlice]; exact hmin _ Pos.le_ofSlice hlt
|
||||
· rintro ⟨v, c, w, hsplit, hpc, hmin⟩
|
||||
have hne := hsplit.ne_endPos_of_singleton
|
||||
have hu : u = v ++ (singleton c ++ w) :=
|
||||
append_right_inj t |>.mp (hs.eq_append.symm.trans (by rw [hsplit.eq_append, append_assoc]))
|
||||
have hle : pos ≤ pos' := (hs.le_iff_exists_eq_append hsplit).mpr ⟨v, rfl, hu⟩
|
||||
refine ⟨hle, ⟨hne, ?_⟩, fun pos'' hle' hlt => hmin _ ?_⟩
|
||||
· rw [(singleton_append_inj.mp (hsplit.eq_right (pos'.splits_next_right hne))).1.symm]
|
||||
exact hpc
|
||||
· obtain ⟨_, hcopy⟩ :=
|
||||
Slice.copy_slice_eq_iff_splits.mpr ⟨t, _, hs.of_eq rfl hu, hsplit⟩
|
||||
rw [← hcopy]
|
||||
exact mem_toList_copy_iff_exists_get.mpr
|
||||
⟨pos''.slice pos pos' hle' (Std.le_of_lt hlt),
|
||||
fun h => Std.ne_of_lt hlt
|
||||
(by rw [← Slice.Pos.ofSlice_slice (h₁ := hle') (h₂ := Std.le_of_lt hlt), h,
|
||||
Slice.Pos.ofSlice_endPos]),
|
||||
by rw [Slice.Pos.get_eq_get_ofSlice]
|
||||
simp [Slice.Pos.ofSlice_slice]⟩
|
||||
simp only [Pos.find?_prop_eq_find?_decide, Pos.find?_bool_eq_some_iff_splits hs, decide_eq_true_eq,
|
||||
decide_eq_false_iff_not]
|
||||
|
||||
theorem Pos.find?_prop_eq_none_iff {p : Char → Prop} [DecidablePred p] {s : Slice} {pos : s.Pos} :
|
||||
pos.find? p = none ↔
|
||||
∀ pos', pos ≤ pos' → (h : pos' ≠ s.endPos) → ¬ p (pos'.get h) := by
|
||||
grind [Pattern.Model.posFind?_eq_none_iff, Pattern.Model.CharPred.Decidable.matchesAt_iff]
|
||||
simp only [Pos.find?_prop_eq_find?_decide, Pos.find?_bool_eq_none_iff, decide_eq_false_iff_not]
|
||||
|
||||
theorem Pos.find?_prop_eq_none_iff_of_splits {p : Char → Prop} [DecidablePred p] {s : Slice}
|
||||
{pos : s.Pos} {t u : String} (hs : pos.Splits t u) :
|
||||
pos.find? p = none ↔ ∀ c ∈ u.toList, ¬ p c := by
|
||||
rw [Pos.find?_prop_eq_none_iff]
|
||||
constructor
|
||||
· intro h c hc
|
||||
obtain ⟨pos', hle, hne, hget⟩ := hs.mem_toList_right_iff.mp hc
|
||||
subst hget; exact h pos' hle hne
|
||||
· intro h pos' hle hne
|
||||
exact h _ (hs.mem_toList_right_iff.mpr ⟨pos', hle, hne, rfl⟩)
|
||||
simp only [Pos.find?_prop_eq_find?_decide, Pos.find?_bool_eq_none_iff_of_splits hs,
|
||||
decide_eq_false_iff_not]
|
||||
|
||||
end String.Slice
|
||||
|
||||
namespace String
|
||||
|
||||
theorem Pos.find?_prop_eq_find?_decide {p : Char → Prop} [DecidablePred p] {s : String}
|
||||
{pos : s.Pos} : pos.find? p = pos.find? (decide <| p ·) := by
|
||||
show (pos.toSlice.find? p).map Pos.ofToSlice = (pos.toSlice.find? (decide <| p ·)).map Pos.ofToSlice
|
||||
simp only [show pos.toSlice.find? p = pos.toSlice.find? (decide <| p ·) from
|
||||
Slice.Pos.find?_prop_eq_find?_decide]
|
||||
|
||||
theorem find?_prop_eq_find?_decide {p : Char → Prop} [DecidablePred p] {s : String} :
|
||||
s.find? p = s.find? (decide <| p ·) := by
|
||||
show (s.toSlice.find? p).map Pos.ofToSlice = (s.toSlice.find? (decide <| p ·)).map Pos.ofToSlice
|
||||
simp only [show s.toSlice.find? p = s.toSlice.find? (decide <| p ·) from
|
||||
Slice.find?_prop_eq_find?_decide]
|
||||
|
||||
theorem contains_prop_eq_contains_decide {p : Char → Prop} [DecidablePred p] {s : String} :
|
||||
s.contains p = s.contains (decide <| p ·) := by
|
||||
show s.toSlice.contains p = s.toSlice.contains (decide <| p ·)
|
||||
exact Slice.contains_prop_eq_contains_decide
|
||||
|
||||
theorem Pos.find?_bool_eq_some_iff {p : Char → Bool} {s : String} {pos pos' : s.Pos} :
|
||||
pos.find? p = some pos' ↔
|
||||
pos ≤ pos' ∧ (∃ h, p (pos'.get h)) ∧
|
||||
∀ pos'', pos ≤ pos'' → (h' : pos'' < pos') →
|
||||
p (pos''.get (Pos.ne_endPos_of_lt h')) = false := by
|
||||
p (pos''.get (by exact Pos.ne_endPos_of_lt h')) = false := by
|
||||
simp only [Pos.find?_eq_find?_toSlice, Option.map_eq_some_iff,
|
||||
Slice.Pos.find?_bool_eq_some_iff, endPos_toSlice]
|
||||
refine ⟨?_, ?_⟩
|
||||
@@ -256,57 +235,32 @@ theorem Pos.find?_prop_eq_some_iff {p : Char → Prop} [DecidablePred p] {s : St
|
||||
pos.find? p = some pos' ↔
|
||||
pos ≤ pos' ∧ (∃ h, p (pos'.get h)) ∧
|
||||
∀ pos'', pos ≤ pos'' → (h' : pos'' < pos') →
|
||||
¬ p (pos''.get (Pos.ne_endPos_of_lt h')) := by
|
||||
simp only [Pos.find?_eq_find?_toSlice, Option.map_eq_some_iff,
|
||||
Slice.Pos.find?_prop_eq_some_iff, endPos_toSlice]
|
||||
refine ⟨?_, ?_⟩
|
||||
· rintro ⟨pos', ⟨h₁, ⟨h₂, hp⟩, h₃⟩, rfl⟩
|
||||
refine ⟨by simpa [Pos.ofToSlice_le_iff] using h₁,
|
||||
⟨by simpa [← Pos.ofToSlice_inj] using h₂, by simpa [Pos.get_ofToSlice] using hp⟩, ?_⟩
|
||||
intro pos'' h₄ h₅
|
||||
simpa using h₃ pos''.toSlice (by simpa [Pos.toSlice_le] using h₄) (by simpa using h₅)
|
||||
· rintro ⟨h₁, ⟨h₂, hp⟩, h₃⟩
|
||||
refine ⟨pos'.toSlice, ⟨by simpa [Pos.toSlice_le] using h₁,
|
||||
⟨by simpa [← Pos.toSlice_inj] using h₂, by simpa using hp⟩, fun p hp₁ hp₂ => ?_⟩,
|
||||
by simp⟩
|
||||
simpa using h₃ (Pos.ofToSlice p)
|
||||
(by simpa [Pos.ofToSlice_le_iff] using hp₁) (by simpa using hp₂)
|
||||
¬ p (pos''.get (by exact Pos.ne_endPos_of_lt h')) := by
|
||||
simp only [Pos.find?_prop_eq_find?_decide, Pos.find?_bool_eq_some_iff, decide_eq_true_eq,
|
||||
decide_eq_false_iff_not]
|
||||
|
||||
theorem Pos.find?_prop_eq_some_iff_splits {p : Char → Prop} [DecidablePred p] {s : String}
|
||||
{pos : s.Pos} {t u : String} (hs : pos.Splits t u) {pos' : s.Pos} :
|
||||
pos.find? p = some pos' ↔
|
||||
∃ v c w, pos'.Splits (t ++ v) (singleton c ++ w) ∧ p c ∧ ∀ d ∈ v.toList, ¬ p d := by
|
||||
simp only [Pos.find?_eq_find?_toSlice, Option.map_eq_some_iff,
|
||||
Slice.Pos.find?_prop_eq_some_iff_splits (Pos.splits_toSlice_iff.mpr hs)]
|
||||
constructor
|
||||
· rintro ⟨q, ⟨v, c, w, hsplit, hpc, hmin⟩, rfl⟩
|
||||
exact ⟨v, c, w, Slice.Pos.splits_ofToSlice_iff.mpr hsplit, hpc, hmin⟩
|
||||
· rintro ⟨v, c, w, hsplit, hpc, hmin⟩
|
||||
exact ⟨pos'.toSlice, ⟨v, c, w, Pos.splits_toSlice_iff.mpr hsplit, hpc, hmin⟩, by simp⟩
|
||||
simp only [Pos.find?_prop_eq_find?_decide, Pos.find?_bool_eq_some_iff_splits hs, decide_eq_true_eq,
|
||||
decide_eq_false_iff_not]
|
||||
|
||||
theorem Pos.find?_prop_eq_none_iff {p : Char → Prop} [DecidablePred p] {s : String}
|
||||
{pos : s.Pos} :
|
||||
pos.find? p = none ↔
|
||||
∀ pos', pos ≤ pos' → (h : pos' ≠ s.endPos) → ¬ p (pos'.get h) := by
|
||||
simp only [Pos.find?_eq_find?_toSlice, Option.map_eq_none_iff,
|
||||
Slice.Pos.find?_prop_eq_none_iff, endPos_toSlice]
|
||||
refine ⟨?_, ?_⟩
|
||||
· intro h pos' h₁ h₂
|
||||
simpa [Pos.get_ofToSlice] using
|
||||
h pos'.toSlice (by simpa [Pos.toSlice_le] using h₁) (by simpa [← Pos.toSlice_inj] using h₂)
|
||||
· intro h pos' h₁ h₂
|
||||
simpa using h (Pos.ofToSlice pos')
|
||||
(by simpa [Pos.ofToSlice_le_iff] using h₁) (by simpa [← Pos.ofToSlice_inj] using h₂)
|
||||
simp only [Pos.find?_prop_eq_find?_decide, Pos.find?_bool_eq_none_iff, decide_eq_false_iff_not]
|
||||
|
||||
theorem Pos.find?_prop_eq_none_iff_of_splits {p : Char → Prop} [DecidablePred p] {s : String}
|
||||
{pos : s.Pos} {t u : String} (hs : pos.Splits t u) :
|
||||
pos.find? p = none ↔ ∀ c ∈ u.toList, ¬ p c := by
|
||||
rw [Pos.find?_eq_find?_toSlice, Option.map_eq_none_iff]
|
||||
exact Slice.Pos.find?_prop_eq_none_iff_of_splits (Pos.splits_toSlice_iff.mpr hs)
|
||||
simp only [Pos.find?_prop_eq_find?_decide, Pos.find?_bool_eq_none_iff_of_splits hs,
|
||||
decide_eq_false_iff_not]
|
||||
|
||||
theorem find?_bool_eq_some_iff {p : Char → Bool} {s : String} {pos : s.Pos} :
|
||||
s.find? p = some pos ↔
|
||||
∃ h, p (pos.get h) ∧ ∀ pos', (h' : pos' < pos) → p (pos'.get (Pos.ne_endPos_of_lt h')) = false := by
|
||||
∃ h, p (pos.get h) ∧ ∀ pos', (h' : pos' < pos) → p (pos'.get (by exact Pos.ne_endPos_of_lt h')) = false := by
|
||||
simp only [find?_eq_find?_toSlice, Option.map_eq_some_iff, Slice.find?_bool_eq_some_iff,
|
||||
endPos_toSlice, exists_and_right]
|
||||
refine ⟨?_, ?_⟩
|
||||
@@ -331,29 +285,16 @@ theorem find?_bool_eq_some_iff_splits {p : Char → Bool} {s : String} {pos : s.
|
||||
|
||||
theorem find?_prop_eq_some_iff {p : Char → Prop} [DecidablePred p] {s : String} {pos : s.Pos} :
|
||||
s.find? p = some pos ↔
|
||||
∃ h, p (pos.get h) ∧ ∀ pos', (h' : pos' < pos) → ¬ p (pos'.get (Pos.ne_endPos_of_lt h')) := by
|
||||
simp only [find?_eq_find?_toSlice, Option.map_eq_some_iff, Slice.find?_prop_eq_some_iff,
|
||||
endPos_toSlice, exists_and_right]
|
||||
refine ⟨?_, ?_⟩
|
||||
· rintro ⟨pos, ⟨⟨h, hp⟩, h'⟩, rfl⟩
|
||||
refine ⟨⟨by simpa [← Pos.ofToSlice_inj] using h, by simpa [Pos.get_ofToSlice] using hp⟩, ?_⟩
|
||||
intro pos' hp
|
||||
simpa using h' pos'.toSlice hp
|
||||
· rintro ⟨⟨h, hp⟩, hmin⟩
|
||||
exact ⟨pos.toSlice, ⟨⟨by simpa [← Pos.toSlice_inj] using h, by simpa using hp⟩,
|
||||
fun pos' hp => by simpa using hmin (Pos.ofToSlice pos') hp⟩, by simp⟩
|
||||
∃ h, p (pos.get h) ∧ ∀ pos', (h' : pos' < pos) → ¬ p (pos'.get (by exact Pos.ne_endPos_of_lt h')) := by
|
||||
simp only [find?_prop_eq_find?_decide, find?_bool_eq_some_iff, decide_eq_true_eq,
|
||||
decide_eq_false_iff_not]
|
||||
|
||||
theorem find?_prop_eq_some_iff_splits {p : Char → Prop} [DecidablePred p] {s : String}
|
||||
{pos : s.Pos} :
|
||||
s.find? p = some pos ↔
|
||||
∃ t c u, pos.Splits t (singleton c ++ u) ∧ p c ∧ ∀ d ∈ t.toList, ¬ p d := by
|
||||
simp only [find?_eq_find?_toSlice, Option.map_eq_some_iff,
|
||||
Slice.find?_prop_eq_some_iff_splits]
|
||||
constructor
|
||||
· rintro ⟨q, ⟨t, c, u, hsplit, hpc, hmin⟩, rfl⟩
|
||||
exact ⟨t, c, u, Slice.Pos.splits_ofToSlice_iff.mpr hsplit, hpc, hmin⟩
|
||||
· rintro ⟨t, c, u, hsplit, hpc, hmin⟩
|
||||
exact ⟨pos.toSlice, ⟨t, c, u, Pos.splits_toSlice_iff.mpr hsplit, hpc, hmin⟩, by simp⟩
|
||||
simp only [find?_prop_eq_find?_decide, find?_bool_eq_some_iff_splits, decide_eq_true_eq,
|
||||
decide_eq_false_iff_not]
|
||||
|
||||
@[simp]
|
||||
theorem contains_bool_eq {p : Char → Bool} {s : String} : s.contains p = s.toList.any p := by
|
||||
@@ -362,6 +303,6 @@ theorem contains_bool_eq {p : Char → Bool} {s : String} : s.contains p = s.toL
|
||||
@[simp]
|
||||
theorem contains_prop_eq {p : Char → Prop} [DecidablePred p] {s : String} :
|
||||
s.contains p = s.toList.any p := by
|
||||
simp [contains_eq_contains_toSlice, Slice.contains_prop_eq, copy_toSlice]
|
||||
rw [contains_prop_eq_contains_decide, contains_bool_eq]
|
||||
|
||||
end String
|
||||
|
||||
@@ -8,6 +8,7 @@ module
|
||||
prelude
|
||||
public import Init.Data.String.Search
|
||||
import all Init.Data.String.Slice
|
||||
import all Init.Data.String.Pattern.String
|
||||
import Init.ByCases
|
||||
import Init.Data.String.Lemmas.Pattern.Find.Basic
|
||||
import Init.Data.String.Lemmas.Pattern.String.ForwardSearcher
|
||||
@@ -55,11 +56,7 @@ theorem contains_slice_iff {t s : Slice} :
|
||||
@[simp]
|
||||
theorem contains_string_iff {t : String} {s : Slice} :
|
||||
s.contains t ↔ t.toList <:+: s.copy.toList := by
|
||||
by_cases ht : t = ""
|
||||
· simp [contains_string_eq_true_of_empty ht s, ht]
|
||||
· have := Pattern.Model.ForwardStringSearcher.lawfulToForwardSearcherModel (pat := t) ht
|
||||
simp only [Pattern.Model.contains_eq_true_iff,
|
||||
Pattern.Model.ForwardStringSearcher.exists_matchesAt_iff_eq_append ht, isInfix_toList_iff]
|
||||
simp [contains_string_eq_contains_toSlice, contains_slice_iff, copy_toSlice]
|
||||
|
||||
@[simp]
|
||||
theorem contains_slice_eq_false_iff {t s : Slice} :
|
||||
|
||||
@@ -8,6 +8,11 @@ module
|
||||
prelude
|
||||
public import Init.Data.String.Pattern.Pred
|
||||
public import Init.Data.String.Lemmas.Pattern.Basic
|
||||
public import Init.Data.String.Slice
|
||||
public import Init.Data.String.Search
|
||||
import all Init.Data.String.Slice
|
||||
import all Init.Data.String.Pattern.Pred
|
||||
import all Init.Data.String.Search
|
||||
import Init.Data.Option.Lemmas
|
||||
import Init.Data.String.Lemmas.Basic
|
||||
import Init.Data.String.Lemmas.Order
|
||||
@@ -112,6 +117,15 @@ theorem isLongestMatchAt_of_get {p : Char → Prop} [DecidablePred p] {s : Slice
|
||||
{h : pos ≠ s.endPos} (hc : p (pos.get h)) : IsLongestMatchAt p pos (pos.next h) :=
|
||||
isLongestMatchAt_iff.2 ⟨h, by simp [hc]⟩
|
||||
|
||||
theorem matchesAt_iff_matchesAt_decide {p : Char → Prop} [DecidablePred p] {s : Slice}
|
||||
{pos : s.Pos} : MatchesAt p pos ↔ MatchesAt (decide <| p ·) pos := by
|
||||
simp [matchesAt_iff_exists_isLongestMatchAt, isLongestMatchAt_iff_isLongestMatchAt_decide]
|
||||
|
||||
theorem matchAt?_eq_matchAt?_decide {p : Char → Prop} [DecidablePred p] {s : Slice}
|
||||
{pos : s.Pos} : matchAt? p pos = matchAt? (decide <| p ·) pos := by
|
||||
ext endPos
|
||||
simp [isLongestMatchAt_iff_isLongestMatchAt_decide]
|
||||
|
||||
theorem dropPrefix?_eq_dropPrefix?_decide {p : Char → Prop} [DecidablePred p] :
|
||||
ForwardPattern.dropPrefix? p = ForwardPattern.dropPrefix? (decide <| p ·) := rfl
|
||||
|
||||
@@ -120,8 +134,26 @@ instance {p : Char → Prop} [DecidablePred p] : LawfulForwardPatternModel p whe
|
||||
rw [dropPrefix?_eq_dropPrefix?_decide, isLongestMatch_iff_isLongestMatch_decide]
|
||||
exact LawfulForwardPatternModel.dropPrefix?_eq_some_iff ..
|
||||
|
||||
instance {p : Char → Prop} [DecidablePred p] : LawfulToForwardSearcherModel p :=
|
||||
.defaultImplementation
|
||||
theorem toSearcher_eq {p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
ToForwardSearcher.toSearcher p s = ToForwardSearcher.toSearcher (decide <| p ·) s := (rfl)
|
||||
|
||||
theorem isValidSearchFrom_iff_isValidSearchFrom_decide {p : Char → Prop} [DecidablePred p]
|
||||
{s : Slice} {pos : s.Pos} {l : List (SearchStep s)} :
|
||||
IsValidSearchFrom p pos l ↔ IsValidSearchFrom (decide <| p ·) pos l := by
|
||||
refine ⟨fun h => ?_, fun h => ?_⟩
|
||||
· induction h with
|
||||
| endPos => simpa using IsValidSearchFrom.endPos
|
||||
| matched => simp_all [IsValidSearchFrom.matched, isLongestMatchAt_iff_isLongestMatchAt_decide]
|
||||
| mismatched => simp_all [IsValidSearchFrom.mismatched, matchesAt_iff_matchesAt_decide]
|
||||
· induction h with
|
||||
| endPos => simpa using IsValidSearchFrom.endPos
|
||||
| matched => simp_all [IsValidSearchFrom.matched, isLongestMatchAt_iff_isLongestMatchAt_decide]
|
||||
| mismatched => simp_all [IsValidSearchFrom.mismatched, matchesAt_iff_matchesAt_decide]
|
||||
|
||||
instance {p : Char → Prop} [DecidablePred p] : LawfulToForwardSearcherModel p where
|
||||
isValidSearchFrom_toList s := by
|
||||
simpa [toSearcher_eq, isValidSearchFrom_iff_isValidSearchFrom_decide] using
|
||||
LawfulToForwardSearcherModel.isValidSearchFrom_toList (pat := (decide <| p ·)) (s := s)
|
||||
|
||||
theorem matchesAt_iff {p : Char → Prop} [DecidablePred p] {s : Slice} {pos : s.Pos} :
|
||||
MatchesAt p pos ↔ ∃ (h : pos ≠ s.endPos), p (pos.get h) := by
|
||||
@@ -138,4 +170,121 @@ theorem matchAt?_eq {s : Slice} {pos : s.Pos} {p : Char → Prop} [DecidablePred
|
||||
|
||||
end Decidable
|
||||
|
||||
end String.Slice.Pattern.Model.CharPred
|
||||
end Pattern.Model.CharPred
|
||||
|
||||
theorem startsWith_prop_eq_startsWith_decide {p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
s.startsWith p = s.startsWith (decide <| p ·) := (rfl)
|
||||
|
||||
theorem dropPrefix?_prop_eq_dropPrefix?_decide {p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
s.dropPrefix? p = s.dropPrefix? (decide <| p ·) := (rfl)
|
||||
|
||||
theorem dropPrefix_prop_eq_dropPrefix_decide {p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
s.dropPrefix p = s.dropPrefix (decide <| p ·) := (rfl)
|
||||
|
||||
theorem Pattern.ForwardPattern.dropPrefix?_prop_eq_dropPrefix?_decide
|
||||
{p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
dropPrefix? p s = dropPrefix? (decide <| p ·) s := (rfl)
|
||||
|
||||
private theorem dropWhileGo_eq {p : Char → Prop} [DecidablePred p] {s : Slice} (curr : s.Pos) :
|
||||
dropWhile.go s p curr = dropWhile.go s (decide <| p ·) curr := by
|
||||
fun_induction dropWhile.go s p curr with
|
||||
| case1 pos nextCurr h₁ h₂ ih =>
|
||||
conv => rhs; rw [dropWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_prop_eq_dropPrefix?_decide, h₁, h₂, ih]
|
||||
| case2 pos nextCurr h ih =>
|
||||
conv => rhs; rw [dropWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_prop_eq_dropPrefix?_decide, h, ih]
|
||||
| case3 pos h =>
|
||||
conv => rhs; rw [dropWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_prop_eq_dropPrefix?_decide]
|
||||
|
||||
theorem dropWhile_prop_eq_dropWhile_decide {p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
s.dropWhile p = s.dropWhile (decide <| p ·) := by
|
||||
simpa only [dropWhile] using dropWhileGo_eq s.startPos
|
||||
|
||||
private theorem takeWhileGo_eq {p : Char → Prop} [DecidablePred p] {s : Slice} (curr : s.Pos) :
|
||||
takeWhile.go s p curr = takeWhile.go s (decide <| p ·) curr := by
|
||||
fun_induction takeWhile.go s p curr with
|
||||
| case1 pos nextCurr h₁ h₂ ih =>
|
||||
conv => rhs; rw [takeWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_prop_eq_dropPrefix?_decide, h₁, h₂, ih]
|
||||
| case2 pos nextCurr h ih =>
|
||||
conv => rhs; rw [takeWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_prop_eq_dropPrefix?_decide, h, ih]
|
||||
| case3 pos h =>
|
||||
conv => rhs; rw [takeWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_prop_eq_dropPrefix?_decide]
|
||||
|
||||
theorem takeWhile_prop_eq_takeWhile_decide {p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
s.takeWhile p = s.takeWhile (decide <| p ·) := by
|
||||
simp only [takeWhile]; exact takeWhileGo_eq s.startPos
|
||||
|
||||
theorem all_prop_eq_all_decide {p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
s.all p = s.all (decide <| p ·) := by
|
||||
simp only [all, dropWhile_prop_eq_dropWhile_decide]
|
||||
|
||||
theorem find?_prop_eq_find?_decide {p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
s.find? p = s.find? (decide <| p ·) :=
|
||||
(rfl)
|
||||
|
||||
theorem Pos.find?_prop_eq_find?_decide {p : Char → Prop} [DecidablePred p] {s : Slice}
|
||||
{pos : s.Pos} :
|
||||
pos.find? p = pos.find? (decide <| p ·) :=
|
||||
(rfl)
|
||||
|
||||
theorem contains_prop_eq_contains_decide {p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
s.contains p = s.contains (decide <| p ·) :=
|
||||
(rfl)
|
||||
|
||||
theorem endsWith_prop_eq_endsWith_decide {p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
s.endsWith p = s.endsWith (decide <| p ·) := (rfl)
|
||||
|
||||
theorem dropSuffix?_prop_eq_dropSuffix?_decide {p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
s.dropSuffix? p = s.dropSuffix? (decide <| p ·) := (rfl)
|
||||
|
||||
theorem dropSuffix_prop_eq_dropSuffix_decide {p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
s.dropSuffix p = s.dropSuffix (decide <| p ·) := (rfl)
|
||||
|
||||
theorem Pattern.BackwardPattern.dropSuffix?_prop_eq_dropSuffix?_decide
|
||||
{p : Char → Prop} [DecidablePred p] {s : Slice} :
|
||||
dropSuffix? p s = dropSuffix? (decide <| p ·) s := (rfl)
|
||||
|
||||
private theorem dropEndWhileGo_eq {p : Char → Prop} [DecidablePred p] {s : Slice}
|
||||
(curr : s.Pos) :
|
||||
dropEndWhile.go s p curr = dropEndWhile.go s (decide <| p ·) curr := by
|
||||
fun_induction dropEndWhile.go s p curr with
|
||||
| case1 pos nextCurr h₁ h₂ ih =>
|
||||
conv => rhs; rw [dropEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_prop_eq_dropSuffix?_decide, h₁, h₂, ih]
|
||||
| case2 pos nextCurr h ih =>
|
||||
conv => rhs; rw [dropEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_prop_eq_dropSuffix?_decide, h, ih]
|
||||
| case3 pos h =>
|
||||
conv => rhs; rw [dropEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_prop_eq_dropSuffix?_decide]
|
||||
|
||||
theorem dropEndWhile_prop_eq_dropEndWhile_decide {p : Char → Prop} [DecidablePred p]
|
||||
{s : Slice} :
|
||||
s.dropEndWhile p = s.dropEndWhile (decide <| p ·) := by
|
||||
simpa only [dropEndWhile] using dropEndWhileGo_eq s.endPos
|
||||
|
||||
private theorem takeEndWhileGo_eq {p : Char → Prop} [DecidablePred p] {s : Slice}
|
||||
(curr : s.Pos) :
|
||||
takeEndWhile.go s p curr = takeEndWhile.go s (decide <| p ·) curr := by
|
||||
fun_induction takeEndWhile.go s p curr with
|
||||
| case1 pos nextCurr h₁ h₂ ih =>
|
||||
conv => rhs; rw [takeEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_prop_eq_dropSuffix?_decide, h₁, h₂, ih]
|
||||
| case2 pos nextCurr h ih =>
|
||||
conv => rhs; rw [takeEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_prop_eq_dropSuffix?_decide, h, ih]
|
||||
| case3 pos h =>
|
||||
conv => rhs; rw [takeEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_prop_eq_dropSuffix?_decide]
|
||||
|
||||
theorem takeEndWhile_prop_eq_takeEndWhile_decide {p : Char → Prop} [DecidablePred p]
|
||||
{s : Slice} :
|
||||
s.takeEndWhile p = s.takeEndWhile (decide <| p ·) := by
|
||||
simpa only [takeEndWhile] using takeEndWhileGo_eq s.endPos
|
||||
|
||||
end String.Slice
|
||||
|
||||
@@ -9,10 +9,14 @@ prelude
|
||||
public import Init.Data.String.Slice
|
||||
public import Init.Data.String.Search
|
||||
public import Init.Data.List.SplitOn.Basic
|
||||
public import Init.Data.String.Lemmas.Pattern.Split.Basic
|
||||
public import Init.Data.String.Lemmas.Pattern.Char
|
||||
import all Init.Data.String.Lemmas.Pattern.Split.Basic
|
||||
import Init.Data.String.Termination
|
||||
import Init.Data.Order.Lemmas
|
||||
import Init.Data.Iterators.Lemmas.Combinators.FilterMap
|
||||
import Init.Data.String.Lemmas.Pattern.Split.Basic
|
||||
import Init.Data.String.Lemmas.Pattern.Split.Pred
|
||||
import Init.Data.String.Lemmas.Pattern.Char
|
||||
import Init.ByCases
|
||||
import Init.Data.String.OrderInstances
|
||||
@@ -26,28 +30,26 @@ namespace String.Slice
|
||||
|
||||
open Pattern.Model Pattern.Model.Char
|
||||
|
||||
theorem Pattern.Model.split_char_eq_split_beq {c : Char} {s : Slice}
|
||||
(f curr : s.Pos) (hle : f ≤ curr) :
|
||||
Model.split c f curr hle = Model.split (· == c) f curr hle := by
|
||||
fun_induction Model.split c f curr hle with
|
||||
| case1 fr h => simp
|
||||
| case2 fr curr hle h pos h₁ h₂ ih =>
|
||||
conv => rhs; rw [Model.split]
|
||||
simp only [h, ↓reduceDIte]
|
||||
split <;> simp_all [matchAt?_eq_matchAt?_beq]
|
||||
| case3 fr curr hle h pos ih =>
|
||||
conv => rhs; rw [Model.split]
|
||||
simp only [h, ↓reduceDIte]
|
||||
split <;> simp_all [matchAt?_eq_matchAt?_beq]
|
||||
|
||||
theorem toList_splitToSubslice_char {s : Slice} {c : Char} :
|
||||
(s.splitToSubslice c).toList.map (Slice.copy ∘ Subslice.toSlice) =
|
||||
(s.copy.toList.splitOn c).map String.ofList := by
|
||||
simp only [Pattern.toList_splitToSubslice_eq_modelSplit]
|
||||
suffices ∀ (f p : s.Pos) (hle : f ≤ p) (t₁ t₂ : String),
|
||||
p.Splits t₁ t₂ → (Pattern.Model.split c f p hle).map (copy ∘ Subslice.toSlice) =
|
||||
(t₂.toList.splitOnPPrepend (· == c) (s.subslice f p hle).copy.toList.reverse).map String.ofList by
|
||||
simpa [List.splitOn_eq_splitOnP] using this s.startPos s.startPos (Std.le_refl _) "" s.copy
|
||||
intro f p hle t₁ t₂ hp
|
||||
induction p using Pos.next_induction generalizing f t₁ t₂ with
|
||||
| next p h ih =>
|
||||
obtain ⟨t₂, rfl⟩ := hp.exists_eq_singleton_append h
|
||||
by_cases hpc : p.get h = c
|
||||
· simp [split_eq_of_isLongestMatchAt (isLongestMatchAt_of_get_eq hpc),
|
||||
ih _ (Std.le_refl _) _ _ hp.next,
|
||||
List.splitOnPPrepend_cons_pos (p := (· == c)) (beq_iff_eq.2 hpc)]
|
||||
· rw [split_eq_next_of_not_matchesAt h (not_matchesAt_of_get_ne hpc)]
|
||||
simp only [toList_append, toList_singleton, List.cons_append, List.nil_append, Subslice.copy_eq]
|
||||
rw [ih _ _ _ _ hp.next, List.splitOnPPrepend_cons_neg (by simpa)]
|
||||
have := (splits_slice (Std.le_trans hle (by simp)) (p.slice f (p.next h) hle (by simp))).eq_append
|
||||
simp_all
|
||||
| endPos => simp_all
|
||||
have : (s.splitToSubslice c).toList = (s.splitToSubslice (· == c)).toList := by
|
||||
simp only [Pattern.toList_splitToSubslice_eq_modelSplit, Pattern.Model.split_char_eq_split_beq]
|
||||
simp only [this, List.splitOn_eq_splitOnP, toList_splitToSubslice_bool]
|
||||
|
||||
theorem toList_split_char {s : Slice} {c : Char} :
|
||||
(s.split c).toList.map Slice.copy = (s.copy.toList.splitOn c).map String.ofList := by
|
||||
|
||||
@@ -9,7 +9,10 @@ prelude
|
||||
public import Init.Data.String.Slice
|
||||
public import Init.Data.String.Search
|
||||
public import Init.Data.List.SplitOn.Basic
|
||||
public import Init.Data.String.Lemmas.Pattern.Split.Basic
|
||||
public import Init.Data.String.Lemmas.Pattern.Pred
|
||||
import Init.Data.String.Termination
|
||||
import all Init.Data.String.Lemmas.Pattern.Split.Basic
|
||||
import Init.Data.Order.Lemmas
|
||||
import Init.Data.Iterators.Lemmas.Combinators.FilterMap
|
||||
import Init.Data.String.Lemmas.Pattern.Split.Basic
|
||||
@@ -61,28 +64,27 @@ section
|
||||
|
||||
open Pattern.Model Pattern.Model.CharPred.Decidable
|
||||
|
||||
theorem Pattern.Model.split_eq_split_decide {p : Char → Prop} [DecidablePred p] {s : Slice}
|
||||
(f curr : s.Pos) (hle : f ≤ curr) :
|
||||
Model.split p f curr hle = Model.split (decide <| p ·) f curr hle := by
|
||||
fun_induction Model.split p f curr hle with
|
||||
| case1 fr h => simp
|
||||
| case2 fr curr hle h pos h₁ h₂ ih =>
|
||||
conv => rhs; rw [Model.split]
|
||||
simp only [h, ↓reduceDIte]
|
||||
split <;> simp_all [matchAt?_eq_matchAt?_decide]
|
||||
| case3 fr curr hle h pos ih =>
|
||||
conv => rhs; rw [Model.split]
|
||||
simp only [h, ↓reduceDIte]
|
||||
split <;> simp_all [matchAt?_eq_matchAt?_decide]
|
||||
|
||||
theorem toList_splitToSubslice_prop {s : Slice} {p : Char → Prop} [DecidablePred p] :
|
||||
(s.splitToSubslice p).toList.map (Slice.copy ∘ Subslice.toSlice) =
|
||||
(s.copy.toList.splitOnP p).map String.ofList := by
|
||||
simp only [Pattern.toList_splitToSubslice_eq_modelSplit]
|
||||
suffices ∀ (f pos : s.Pos) (hle : f ≤ pos) (t₁ t₂ : String),
|
||||
pos.Splits t₁ t₂ → (Pattern.Model.split p f pos hle).map (copy ∘ Subslice.toSlice) =
|
||||
(t₂.toList.splitOnPPrepend p (s.subslice f pos hle).copy.toList.reverse).map String.ofList by
|
||||
simpa using this s.startPos s.startPos (Std.le_refl _) "" s.copy
|
||||
intro f pos hle t₁ t₂ hp
|
||||
induction pos using Pos.next_induction generalizing f t₁ t₂ with
|
||||
| next pos h ih =>
|
||||
obtain ⟨t₂, rfl⟩ := hp.exists_eq_singleton_append h
|
||||
by_cases hpc : p (pos.get h)
|
||||
· simp [split_eq_of_isLongestMatchAt (isLongestMatchAt_of_get hpc),
|
||||
ih _ (Std.le_refl _) _ _ hp.next,
|
||||
List.splitOnPPrepend_cons_pos (p := (decide <| p ·)) (by simpa using hpc)]
|
||||
· rw [split_eq_next_of_not_matchesAt h (not_matchesAt_of_get hpc)]
|
||||
simp only [toList_append, toList_singleton, List.cons_append, List.nil_append, Subslice.copy_eq]
|
||||
rw [ih _ _ _ _ hp.next, List.splitOnPPrepend_cons_neg (by simpa)]
|
||||
have := (splits_slice (Std.le_trans hle (by simp)) (pos.slice f (pos.next h) hle (by simp))).eq_append
|
||||
simp_all
|
||||
| endPos => simp_all
|
||||
have : (s.splitToSubslice p).toList = (s.splitToSubslice (decide <| p ·)).toList := by
|
||||
simp only [Pattern.toList_splitToSubslice_eq_modelSplit, split_eq_split_decide]
|
||||
rw [this]
|
||||
exact toList_splitToSubslice_bool
|
||||
|
||||
theorem toList_split_prop {s : Slice} {p : Char → Prop} [DecidablePred p] :
|
||||
(s.split p).toList.map Slice.copy = (s.copy.toList.splitOnP p).map String.ofList := by
|
||||
|
||||
@@ -6,6 +6,7 @@ Author: Markus Himmel
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.String.Pattern.String
|
||||
public import Init.Data.String.Lemmas.Pattern.Basic
|
||||
import Init.Data.String.Lemmas.IsEmpty
|
||||
import Init.Data.String.Lemmas.Basic
|
||||
@@ -150,19 +151,19 @@ theorem isMatch_iff_slice {pat : String} {s : Slice} {pos : s.Pos} :
|
||||
IsMatch (ρ := String) pat pos ↔ IsMatch (ρ := Slice) pat.toSlice pos := by
|
||||
simp only [Model.isMatch_iff, ForwardPatternModel.Matches, copy_toSlice]
|
||||
|
||||
theorem isLongestMatch_iff_slice {pat : String} {s : Slice} {pos : s.Pos} :
|
||||
theorem isLongestMatch_iff_isLongestMatch_toSlice {pat : String} {s : Slice} {pos : s.Pos} :
|
||||
IsLongestMatch (ρ := String) pat pos ↔ IsLongestMatch (ρ := Slice) pat.toSlice pos where
|
||||
mp h := ⟨isMatch_iff_slice.1 h.isMatch, fun p hp hm => h.not_isMatch p hp (isMatch_iff_slice.2 hm)⟩
|
||||
mpr h := ⟨isMatch_iff_slice.2 h.isMatch, fun p hp hm => h.not_isMatch p hp (isMatch_iff_slice.1 hm)⟩
|
||||
|
||||
theorem isLongestMatchAt_iff_slice {pat : String} {s : Slice} {pos₁ pos₂ : s.Pos} :
|
||||
theorem isLongestMatchAt_iff_isLongestMatchAt_toSlice {pat : String} {s : Slice} {pos₁ pos₂ : s.Pos} :
|
||||
IsLongestMatchAt (ρ := String) pat pos₁ pos₂ ↔
|
||||
IsLongestMatchAt (ρ := Slice) pat.toSlice pos₁ pos₂ := by
|
||||
simp [Model.isLongestMatchAt_iff, isLongestMatch_iff_slice]
|
||||
simp [Model.isLongestMatchAt_iff, isLongestMatch_iff_isLongestMatch_toSlice]
|
||||
|
||||
theorem matchesAt_iff_slice {pat : String} {s : Slice} {pos : s.Pos} :
|
||||
theorem matchesAt_iff_toSlice {pat : String} {s : Slice} {pos : s.Pos} :
|
||||
MatchesAt (ρ := String) pat pos ↔ MatchesAt (ρ := Slice) pat.toSlice pos := by
|
||||
simp [matchesAt_iff_exists_isLongestMatchAt, isLongestMatchAt_iff_slice]
|
||||
simp [matchesAt_iff_exists_isLongestMatchAt, isLongestMatchAt_iff_isLongestMatchAt_toSlice]
|
||||
|
||||
private theorem toSlice_isEmpty (h : pat ≠ "") : pat.toSlice.isEmpty = false := by
|
||||
rwa [isEmpty_toSlice, isEmpty_eq_false_iff]
|
||||
@@ -178,7 +179,7 @@ theorem isLongestMatch_iff {pat : String} {s : Slice} {pos : s.Pos} (h : pat ≠
|
||||
|
||||
theorem isLongestMatchAt_iff {pat : String} {s : Slice} {pos₁ pos₂ : s.Pos} (h : pat ≠ "") :
|
||||
IsLongestMatchAt pat pos₁ pos₂ ↔ ∃ h, (s.slice pos₁ pos₂ h).copy = pat := by
|
||||
rw [isLongestMatchAt_iff_slice,
|
||||
rw [isLongestMatchAt_iff_isLongestMatchAt_toSlice,
|
||||
ForwardSliceSearcher.isLongestMatchAt_iff (toSlice_isEmpty h)]
|
||||
simp
|
||||
|
||||
@@ -186,7 +187,7 @@ theorem isLongestMatchAt_iff_splits {pat : String} {s : Slice} {pos₁ pos₂ :
|
||||
(h : pat ≠ "") :
|
||||
IsLongestMatchAt pat pos₁ pos₂ ↔
|
||||
∃ t₁ t₂, pos₁.Splits t₁ (pat ++ t₂) ∧ pos₂.Splits (t₁ ++ pat) t₂ := by
|
||||
rw [isLongestMatchAt_iff_slice,
|
||||
rw [isLongestMatchAt_iff_isLongestMatchAt_toSlice,
|
||||
ForwardSliceSearcher.isLongestMatchAt_iff_splits (toSlice_isEmpty h)]
|
||||
simp
|
||||
|
||||
@@ -194,7 +195,7 @@ theorem isLongestMatchAt_iff_extract {pat : String} {s : Slice} {pos₁ pos₂ :
|
||||
(h : pat ≠ "") :
|
||||
IsLongestMatchAt pat pos₁ pos₂ ↔
|
||||
s.copy.toByteArray.extract pos₁.offset.byteIdx pos₂.offset.byteIdx = pat.toByteArray := by
|
||||
rw [isLongestMatchAt_iff_slice,
|
||||
rw [isLongestMatchAt_iff_isLongestMatchAt_toSlice,
|
||||
ForwardSliceSearcher.isLongestMatchAt_iff_extract (toSlice_isEmpty h)]
|
||||
simp
|
||||
|
||||
@@ -203,11 +204,11 @@ theorem offset_of_isLongestMatchAt {pat : String} {s : Slice} {pos₁ pos₂ : s
|
||||
pos₂.offset = pos₁.offset.increaseBy pat.utf8ByteSize := by
|
||||
rw [show pat.utf8ByteSize = pat.toSlice.utf8ByteSize from utf8ByteSize_toSlice.symm]
|
||||
exact ForwardSliceSearcher.offset_of_isLongestMatchAt (toSlice_isEmpty h)
|
||||
(isLongestMatchAt_iff_slice.1 h')
|
||||
(isLongestMatchAt_iff_isLongestMatchAt_toSlice.1 h')
|
||||
|
||||
theorem matchesAt_iff_splits {pat : String} {s : Slice} {pos : s.Pos} (h : pat ≠ "") :
|
||||
MatchesAt pat pos ↔ ∃ t₁ t₂, pos.Splits t₁ (pat ++ t₂) := by
|
||||
rw [matchesAt_iff_slice,
|
||||
rw [matchesAt_iff_toSlice,
|
||||
ForwardSliceSearcher.matchesAt_iff_splits (toSlice_isEmpty h)]
|
||||
simp
|
||||
|
||||
@@ -229,8 +230,8 @@ theorem matchesAt_iff_isLongestMatchAt {pat : String} {s : Slice} {pos : s.Pos}
|
||||
IsLongestMatchAt pat pos (s.pos _ h) := by
|
||||
have key := ForwardSliceSearcher.matchesAt_iff_isLongestMatchAt (pat := pat.toSlice)
|
||||
(toSlice_isEmpty h) (pos := pos)
|
||||
simp only [utf8ByteSize_toSlice, ← isLongestMatchAt_iff_slice] at key
|
||||
rwa [matchesAt_iff_slice]
|
||||
simp only [utf8ByteSize_toSlice, ← isLongestMatchAt_iff_isLongestMatchAt_toSlice] at key
|
||||
rwa [matchesAt_iff_toSlice]
|
||||
|
||||
theorem matchesAt_iff_getElem {pat : String} {s : Slice} {pos : s.Pos} (h : pat ≠ "") :
|
||||
MatchesAt pat pos ↔
|
||||
@@ -240,13 +241,33 @@ theorem matchesAt_iff_getElem {pat : String} {s : Slice} {pos : s.Pos} (h : pat
|
||||
have key := ForwardSliceSearcher.matchesAt_iff_getElem (pat := pat.toSlice)
|
||||
(toSlice_isEmpty h) (pos := pos)
|
||||
simp only [copy_toSlice] at key
|
||||
rwa [matchesAt_iff_slice]
|
||||
rwa [matchesAt_iff_toSlice]
|
||||
|
||||
theorem le_of_matchesAt {pat : String} {s : Slice} {pos : s.Pos} (h : pat ≠ "")
|
||||
(h' : MatchesAt pat pos) : pos.offset.increaseBy pat.utf8ByteSize ≤ s.rawEndPos := by
|
||||
rw [show pat.utf8ByteSize = pat.toSlice.utf8ByteSize from utf8ByteSize_toSlice.symm]
|
||||
exact ForwardSliceSearcher.le_of_matchesAt (toSlice_isEmpty h)
|
||||
(matchesAt_iff_slice.1 h')
|
||||
(matchesAt_iff_toSlice.1 h')
|
||||
|
||||
theorem matchesAt_iff_matchesAt_toSlice {pat : String} {s : Slice}
|
||||
{pos : s.Pos} : MatchesAt pat pos ↔ MatchesAt pat.toSlice pos := by
|
||||
simp [matchesAt_iff_exists_isLongestMatchAt, isLongestMatchAt_iff_isLongestMatchAt_toSlice]
|
||||
|
||||
theorem toSearcher_eq {pat : String} {s : Slice} :
|
||||
ToForwardSearcher.toSearcher pat s = ToForwardSearcher.toSearcher pat.toSlice s := (rfl)
|
||||
|
||||
theorem isValidSearchFrom_iff_isValidSearchFrom_toSlice {pat : String}
|
||||
{s : Slice} {pos : s.Pos} {l : List (SearchStep s)} :
|
||||
IsValidSearchFrom pat pos l ↔ IsValidSearchFrom pat.toSlice pos l := by
|
||||
refine ⟨fun h => ?_, fun h => ?_⟩
|
||||
· induction h with
|
||||
| endPos => simpa using IsValidSearchFrom.endPos
|
||||
| matched => simp_all [IsValidSearchFrom.matched, isLongestMatchAt_iff_isLongestMatchAt_toSlice]
|
||||
| mismatched => simp_all [IsValidSearchFrom.mismatched, matchesAt_iff_matchesAt_toSlice]
|
||||
· induction h with
|
||||
| endPos => simpa using IsValidSearchFrom.endPos
|
||||
| matched => simp_all [IsValidSearchFrom.matched, isLongestMatchAt_iff_isLongestMatchAt_toSlice]
|
||||
| mismatched => simp_all [IsValidSearchFrom.mismatched, matchesAt_iff_matchesAt_toSlice]
|
||||
|
||||
end ForwardStringSearcher
|
||||
|
||||
|
||||
@@ -8,7 +8,10 @@ module
|
||||
prelude
|
||||
public import Init.Data.String.Lemmas.Pattern.String.Basic
|
||||
public import Init.Data.String.Pattern.String
|
||||
public import Init.Data.String.Slice
|
||||
import all Init.Data.String.Pattern.String
|
||||
import all Init.Data.String.Slice
|
||||
import Init.Data.String.Lemmas.Pattern.Pred
|
||||
import Init.Data.String.Lemmas.Pattern.Memcmp
|
||||
import Init.Data.String.Lemmas.Basic
|
||||
import Init.Data.ByteArray.Lemmas
|
||||
@@ -86,4 +89,104 @@ public theorem lawfulForwardPatternModel {pat : String} (hpat : pat ≠ "") :
|
||||
|
||||
end Model.ForwardStringSearcher
|
||||
|
||||
end String.Slice.Pattern
|
||||
end Pattern
|
||||
|
||||
public theorem startsWith_string_eq_startsWith_toSlice {pat : String} {s : Slice} :
|
||||
s.startsWith pat = s.startsWith pat.toSlice := (rfl)
|
||||
|
||||
public theorem dropPrefix?_string_eq_dropPrefix?_toSlice {pat : String} {s : Slice} :
|
||||
s.dropPrefix? pat = s.dropPrefix? pat.toSlice := (rfl)
|
||||
|
||||
public theorem dropPrefix_string_eq_dropPrefix_toSlice {pat : String} {s : Slice} :
|
||||
s.dropPrefix pat = s.dropPrefix pat.toSlice := (rfl)
|
||||
|
||||
public theorem Pattern.ForwardPattern.dropPrefix?_string_eq_dropPrefix?_toSlice
|
||||
{pat : String} {s : Slice} :
|
||||
dropPrefix? pat s = dropPrefix? pat.toSlice s := (rfl)
|
||||
|
||||
private theorem dropWhileGo_string_eq {pat : String} {s : Slice} (curr : s.Pos) :
|
||||
dropWhile.go s pat curr = dropWhile.go s pat.toSlice curr := by
|
||||
fun_induction dropWhile.go s pat curr with
|
||||
| case1 pos nextCurr h₁ h₂ ih =>
|
||||
conv => rhs; rw [dropWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_string_eq_dropPrefix?_toSlice, h₁, h₂, ih]
|
||||
| case2 pos nextCurr h ih =>
|
||||
conv => rhs; rw [dropWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_string_eq_dropPrefix?_toSlice, h, ih]
|
||||
| case3 pos h =>
|
||||
conv => rhs; rw [dropWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_string_eq_dropPrefix?_toSlice]
|
||||
|
||||
public theorem dropWhile_string_eq_dropWhile_toSlice {pat : String} {s : Slice} :
|
||||
s.dropWhile pat = s.dropWhile pat.toSlice := by
|
||||
simpa only [dropWhile] using dropWhileGo_string_eq s.startPos
|
||||
|
||||
private theorem takeWhileGo_string_eq {pat : String} {s : Slice} (curr : s.Pos) :
|
||||
takeWhile.go s pat curr = takeWhile.go s pat.toSlice curr := by
|
||||
fun_induction takeWhile.go s pat curr with
|
||||
| case1 pos nextCurr h₁ h₂ ih =>
|
||||
conv => rhs; rw [takeWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_string_eq_dropPrefix?_toSlice, h₁, h₂, ih]
|
||||
| case2 pos nextCurr h ih =>
|
||||
conv => rhs; rw [takeWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_string_eq_dropPrefix?_toSlice, h, ih]
|
||||
| case3 pos h =>
|
||||
conv => rhs; rw [takeWhile.go]
|
||||
simp [← Pattern.ForwardPattern.dropPrefix?_string_eq_dropPrefix?_toSlice]
|
||||
|
||||
public theorem takeWhile_string_eq_takeWhile_toSlice {pat : String} {s : Slice} :
|
||||
s.takeWhile pat = s.takeWhile pat.toSlice := by
|
||||
simp only [takeWhile]; exact takeWhileGo_string_eq s.startPos
|
||||
|
||||
public theorem all_string_eq_all_toSlice {pat : String} {s : Slice} :
|
||||
s.all pat = s.all pat.toSlice := by
|
||||
simp only [all, dropWhile_string_eq_dropWhile_toSlice]
|
||||
|
||||
public theorem endsWith_string_eq_endsWith_toSlice {pat : String} {s : Slice} :
|
||||
s.endsWith pat = s.endsWith pat.toSlice := (rfl)
|
||||
|
||||
public theorem dropSuffix?_string_eq_dropSuffix?_toSlice {pat : String} {s : Slice} :
|
||||
s.dropSuffix? pat = s.dropSuffix? pat.toSlice := (rfl)
|
||||
|
||||
public theorem dropSuffix_string_eq_dropSuffix_toSlice {pat : String} {s : Slice} :
|
||||
s.dropSuffix pat = s.dropSuffix pat.toSlice := (rfl)
|
||||
|
||||
public theorem Pattern.BackwardPattern.dropSuffix?_string_eq_dropSuffix?_toSlice
|
||||
{pat : String} {s : Slice} :
|
||||
dropSuffix? pat s = dropSuffix? pat.toSlice s := (rfl)
|
||||
|
||||
private theorem dropEndWhileGo_string_eq {pat : String} {s : Slice} (curr : s.Pos) :
|
||||
dropEndWhile.go s pat curr = dropEndWhile.go s pat.toSlice curr := by
|
||||
fun_induction dropEndWhile.go s pat curr with
|
||||
| case1 pos nextCurr h₁ h₂ ih =>
|
||||
conv => rhs; rw [dropEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_string_eq_dropSuffix?_toSlice, h₁, h₂, ih]
|
||||
| case2 pos nextCurr h ih =>
|
||||
conv => rhs; rw [dropEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_string_eq_dropSuffix?_toSlice, h, ih]
|
||||
| case3 pos h =>
|
||||
conv => rhs; rw [dropEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_string_eq_dropSuffix?_toSlice]
|
||||
|
||||
public theorem dropEndWhile_string_eq_dropEndWhile_toSlice {pat : String} {s : Slice} :
|
||||
s.dropEndWhile pat = s.dropEndWhile pat.toSlice := by
|
||||
simpa only [dropEndWhile] using dropEndWhileGo_string_eq s.endPos
|
||||
|
||||
private theorem takeEndWhileGo_string_eq {pat : String} {s : Slice} (curr : s.Pos) :
|
||||
takeEndWhile.go s pat curr = takeEndWhile.go s pat.toSlice curr := by
|
||||
fun_induction takeEndWhile.go s pat curr with
|
||||
| case1 pos nextCurr h₁ h₂ ih =>
|
||||
conv => rhs; rw [takeEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_string_eq_dropSuffix?_toSlice, h₁, h₂, ih]
|
||||
| case2 pos nextCurr h ih =>
|
||||
conv => rhs; rw [takeEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_string_eq_dropSuffix?_toSlice, h, ih]
|
||||
| case3 pos h =>
|
||||
conv => rhs; rw [takeEndWhile.go]
|
||||
simp [← Pattern.BackwardPattern.dropSuffix?_string_eq_dropSuffix?_toSlice]
|
||||
|
||||
public theorem takeEndWhile_string_eq_takeEndWhile_toSlice {pat : String} {s : Slice} :
|
||||
s.takeEndWhile pat = s.takeEndWhile pat.toSlice := by
|
||||
simpa only [takeEndWhile] using takeEndWhileGo_string_eq s.endPos
|
||||
|
||||
end String.Slice
|
||||
|
||||
@@ -8,6 +8,10 @@ module
|
||||
prelude
|
||||
public import Init.Data.String.Lemmas.Pattern.String.Basic
|
||||
public import Init.Data.String.Pattern.String
|
||||
public import Init.Data.String.Slice
|
||||
public import Init.Data.String.Search
|
||||
import all Init.Data.String.Slice
|
||||
import all Init.Data.String.Search
|
||||
import all Init.Data.String.Pattern.String
|
||||
import Init.Data.String.Lemmas.IsEmpty
|
||||
import Init.Data.Vector.Lemmas
|
||||
@@ -435,7 +439,6 @@ theorem Invariants.of_prefixFunction_eq {pat s : Slice} {stackPos needlePos : St
|
||||
rw [Nat.sub_add_cancel (by simp at h'; omega)] at this
|
||||
exact hk ▸ (h.partialMatch.partialMatch_iff.1 this).2
|
||||
|
||||
set_option backward.isDefEq.respectTransparency false in
|
||||
theorem Invariants.isValidSearchFrom_toList {pat s : Slice} {stackPos needlePos : String.Pos.Raw}
|
||||
(it : Std.Iter (α := ForwardSliceSearcher s) (SearchStep s))
|
||||
(h : Invariants pat s needlePos stackPos)
|
||||
@@ -600,30 +603,11 @@ end ForwardSliceSearcher
|
||||
|
||||
namespace ForwardStringSearcher
|
||||
|
||||
private theorem isValidSearchFrom_iff_slice {pat : String} {s : Slice} {pos : s.Pos}
|
||||
{l : List (SearchStep s)} :
|
||||
IsValidSearchFrom (ρ := String) pat pos l ↔
|
||||
IsValidSearchFrom (ρ := Slice) pat.toSlice pos l := by
|
||||
constructor
|
||||
· intro h
|
||||
induction h with
|
||||
| endPos => exact .endPos
|
||||
| matched hm _ ih => exact .matched (isLongestMatchAt_iff_slice.1 hm) ih
|
||||
| mismatched hlt hnm _ ih =>
|
||||
exact .mismatched hlt (fun p hp₁ hp₂ hm => hnm p hp₁ hp₂ (matchesAt_iff_slice.2 hm)) ih
|
||||
· intro h
|
||||
induction h with
|
||||
| endPos => exact .endPos
|
||||
| matched hm _ ih => exact .matched (isLongestMatchAt_iff_slice.2 hm) ih
|
||||
| mismatched hlt hnm _ ih =>
|
||||
exact .mismatched hlt (fun p hp₁ hp₂ hm => hnm p hp₁ hp₂ (matchesAt_iff_slice.1 hm)) ih
|
||||
|
||||
public theorem lawfulToForwardSearcherModel {pat : String} (hpat : pat ≠ "") :
|
||||
LawfulToForwardSearcherModel pat where
|
||||
isValidSearchFrom_toList s :=
|
||||
isValidSearchFrom_iff_slice.2
|
||||
((ForwardSliceSearcher.lawfulToForwardSearcherModel
|
||||
(by rwa [isEmpty_toSlice, isEmpty_eq_false_iff])).isValidSearchFrom_toList s)
|
||||
isValidSearchFrom_toList s := by
|
||||
simpa [toSearcher_eq, isValidSearchFrom_iff_isValidSearchFrom_toSlice] using
|
||||
(ForwardSliceSearcher.lawfulToForwardSearcherModel (by simpa)).isValidSearchFrom_toList (pat := pat.toSlice) (s := s)
|
||||
|
||||
public theorem toSearcher_empty (s : Slice) : ToForwardSearcher.toSearcher "" s =
|
||||
Std.Iter.mk (.emptyBefore s.startPos : ForwardSliceSearcher s) := by
|
||||
@@ -632,4 +616,18 @@ public theorem toSearcher_empty (s : Slice) : ToForwardSearcher.toSearcher "" s
|
||||
|
||||
end ForwardStringSearcher
|
||||
|
||||
end String.Slice.Pattern.Model
|
||||
end Pattern.Model
|
||||
|
||||
public theorem contains_string_eq_contains_toSlice {pat : String} {s : Slice} :
|
||||
s.contains pat = s.contains pat.toSlice :=
|
||||
(rfl)
|
||||
|
||||
public theorem find?_string_eq_find?_toSlice {pat : String} {s : Slice} :
|
||||
s.find? pat = s.find? pat.toSlice :=
|
||||
(rfl)
|
||||
|
||||
public theorem Pos.find?_string_eq_find?_toSlice {pat : String} {s : Slice} {p : s.Pos} :
|
||||
p.find? pat = p.find? pat.toSlice :=
|
||||
(rfl)
|
||||
|
||||
end String.Slice
|
||||
|
||||
@@ -245,7 +245,7 @@ the given {name}`ForwardPattern` instance.
|
||||
It is sometimes possible to give a more efficient implementation; see {name}`ToForwardSearcher`
|
||||
for more details.
|
||||
-/
|
||||
@[inline]
|
||||
@[inline, implicit_reducible]
|
||||
def defaultImplementation [ForwardPattern pat] :
|
||||
ToForwardSearcher pat (DefaultForwardSearcher pat) where
|
||||
toSearcher := DefaultForwardSearcher.iter pat
|
||||
@@ -450,7 +450,7 @@ the given {name}`BackwardPattern` instance.
|
||||
It is sometimes possible to give a more efficient implementation; see {name}`ToBackwardSearcher`
|
||||
for more details.
|
||||
-/
|
||||
@[inline]
|
||||
@[inline, implicit_reducible]
|
||||
def defaultImplementation [BackwardPattern pat] :
|
||||
ToBackwardSearcher pat (DefaultBackwardSearcher pat) where
|
||||
toSearcher := DefaultBackwardSearcher.iter pat
|
||||
|
||||
@@ -6,12 +6,7 @@ Authors: Henrik Böving, Markus Himmel
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.String.Pattern.Basic
|
||||
import Init.Data.String.Lemmas.FindPos
|
||||
import Init.Data.String.Termination
|
||||
import Init.Data.String.Lemmas.IsEmpty
|
||||
import Init.Data.String.Lemmas.Order
|
||||
import Init.Data.Option.Lemmas
|
||||
public import Init.Data.String.Pattern.Pred
|
||||
|
||||
set_option doc.verso true
|
||||
|
||||
@@ -26,75 +21,31 @@ namespace String.Slice.Pattern
|
||||
namespace Char
|
||||
|
||||
instance {c : Char} : ForwardPattern c where
|
||||
dropPrefixOfNonempty? s h :=
|
||||
if s.startPos.get (by exact Slice.startPos_ne_endPos h) = c then
|
||||
some (s.startPos.next (by exact Slice.startPos_ne_endPos h))
|
||||
else
|
||||
none
|
||||
dropPrefix? s :=
|
||||
if h : s.startPos = s.endPos then
|
||||
none
|
||||
else if s.startPos.get h = c then
|
||||
some (s.startPos.next h)
|
||||
else
|
||||
none
|
||||
startsWith s :=
|
||||
if h : s.startPos = s.endPos then
|
||||
false
|
||||
else
|
||||
s.startPos.get h = c
|
||||
dropPrefixOfNonempty? s h := ForwardPattern.dropPrefixOfNonempty? (· == c) s h
|
||||
dropPrefix? s := ForwardPattern.dropPrefix? (· == c) s
|
||||
startsWith s := ForwardPattern.startsWith (· == c) s
|
||||
|
||||
instance {c : Char} : StrictForwardPattern c where
|
||||
ne_startPos {s h q} := by
|
||||
simp only [ForwardPattern.dropPrefixOfNonempty?, Option.ite_none_right_eq_some,
|
||||
Option.some.injEq, ne_eq, and_imp]
|
||||
rintro _ rfl
|
||||
simp
|
||||
ne_startPos h q := StrictForwardPattern.ne_startPos (pat := (· == c)) h q
|
||||
|
||||
instance {c : Char} : LawfulForwardPattern c where
|
||||
dropPrefixOfNonempty?_eq {s h} := by
|
||||
simp [ForwardPattern.dropPrefixOfNonempty?, ForwardPattern.dropPrefix?,
|
||||
Slice.startPos_eq_endPos_iff, h]
|
||||
startsWith_eq {s} := by
|
||||
simp only [ForwardPattern.startsWith, ForwardPattern.dropPrefix?]
|
||||
split <;> (try split) <;> simp_all
|
||||
dropPrefixOfNonempty?_eq h := LawfulForwardPattern.dropPrefixOfNonempty?_eq (pat := (· == c)) h
|
||||
startsWith_eq s := LawfulForwardPattern.startsWith_eq (pat := (· == c)) s
|
||||
|
||||
instance {c : Char} : ToForwardSearcher c (ToForwardSearcher.DefaultForwardSearcher c) :=
|
||||
.defaultImplementation
|
||||
instance {c : Char} : ToForwardSearcher c (ToForwardSearcher.DefaultForwardSearcher (· == c)) where
|
||||
toSearcher s := ToForwardSearcher.toSearcher (· == c) s
|
||||
|
||||
instance {c : Char} : BackwardPattern c where
|
||||
dropSuffixOfNonempty? s h :=
|
||||
if (s.endPos.prev (Ne.symm (by exact Slice.startPos_ne_endPos h))).get (by simp) = c then
|
||||
some (s.endPos.prev (Ne.symm (by exact Slice.startPos_ne_endPos h)))
|
||||
else
|
||||
none
|
||||
dropSuffix? s :=
|
||||
if h : s.endPos = s.startPos then
|
||||
none
|
||||
else if (s.endPos.prev h).get (by simp) = c then
|
||||
some (s.endPos.prev h)
|
||||
else
|
||||
none
|
||||
endsWith s :=
|
||||
if h : s.endPos = s.startPos then
|
||||
false
|
||||
else
|
||||
(s.endPos.prev h).get (by simp) = c
|
||||
dropSuffixOfNonempty? s h := BackwardPattern.dropSuffixOfNonempty? (· == c) s h
|
||||
dropSuffix? s := BackwardPattern.dropSuffix? (· == c) s
|
||||
endsWith s := BackwardPattern.endsWith (· == c) s
|
||||
|
||||
instance {c : Char} : StrictBackwardPattern c where
|
||||
ne_endPos {s h q} := by
|
||||
simp only [BackwardPattern.dropSuffixOfNonempty?, Option.ite_none_right_eq_some,
|
||||
Option.some.injEq, ne_eq, and_imp]
|
||||
rintro _ rfl
|
||||
simp
|
||||
ne_endPos h q := StrictBackwardPattern.ne_endPos (pat := (· == c)) h q
|
||||
|
||||
instance {c : Char} : LawfulBackwardPattern c where
|
||||
dropSuffixOfNonempty?_eq {s h} := by
|
||||
simp [BackwardPattern.dropSuffixOfNonempty?, BackwardPattern.dropSuffix?,
|
||||
Eq.comm (a := s.endPos), Slice.startPos_eq_endPos_iff, h]
|
||||
endsWith_eq {s} := by
|
||||
simp only [BackwardPattern.endsWith, BackwardPattern.dropSuffix?]
|
||||
split <;> (try split) <;> simp_all
|
||||
dropSuffixOfNonempty?_eq h := LawfulBackwardPattern.dropSuffixOfNonempty?_eq (pat := (· == c)) h
|
||||
endsWith_eq s := LawfulBackwardPattern.endsWith_eq (pat := (· == c)) s
|
||||
|
||||
instance {c : Char} : ToBackwardSearcher c (ToBackwardSearcher.DefaultBackwardSearcher c) :=
|
||||
.defaultImplementation
|
||||
|
||||
@@ -81,8 +81,8 @@ instance {p : Char → Prop} [DecidablePred p] : LawfulForwardPattern p where
|
||||
dropPrefixOfNonempty?_eq h := LawfulForwardPattern.dropPrefixOfNonempty?_eq (pat := (decide <| p ·)) h
|
||||
startsWith_eq s := LawfulForwardPattern.startsWith_eq (pat := (decide <| p ·)) s
|
||||
|
||||
instance {p : Char → Prop} [DecidablePred p] : ToForwardSearcher p (ToForwardSearcher.DefaultForwardSearcher p) :=
|
||||
.defaultImplementation
|
||||
instance {p : Char → Prop} [DecidablePred p] : ToForwardSearcher p (ToForwardSearcher.DefaultForwardSearcher (decide <| p ·)) where
|
||||
toSearcher s := ToForwardSearcher.toSearcher (decide <| p ·) s
|
||||
|
||||
end Decidable
|
||||
|
||||
|
||||
@@ -9,3 +9,4 @@ prelude
|
||||
public import Init.Data.ToString.Basic
|
||||
public import Init.Data.ToString.Macro
|
||||
public import Init.Data.ToString.Name
|
||||
public import Init.Data.ToString.Extra
|
||||
|
||||
@@ -51,29 +51,6 @@ instance {p : Prop} : ToString (Decidable p) := ⟨fun h =>
|
||||
| Decidable.isTrue _ => "true"
|
||||
| Decidable.isFalse _ => "false"⟩
|
||||
|
||||
/--
|
||||
Converts a list into a string, using `ToString.toString` to convert its elements.
|
||||
|
||||
The resulting string resembles list literal syntax, with the elements separated by `", "` and
|
||||
enclosed in square brackets.
|
||||
|
||||
The resulting string may not be valid Lean syntax, because there's no such expectation for
|
||||
`ToString` instances.
|
||||
|
||||
Examples:
|
||||
* `[1, 2, 3].toString = "[1, 2, 3]"`
|
||||
* `["cat", "dog"].toString = "[cat, dog]"`
|
||||
* `["cat", "dog", ""].toString = "[cat, dog, ]"`
|
||||
-/
|
||||
protected def List.toString [ToString α] : List α → String
|
||||
| [] => "[]"
|
||||
| [x] => String.Internal.append (String.Internal.append "[" (toString x)) "]"
|
||||
| x::xs => String.push (xs.foldl (fun l r => String.Internal.append (String.Internal.append l ", ") (toString r))
|
||||
(String.Internal.append "[" (toString x))) ']'
|
||||
|
||||
instance {α : Type u} [ToString α] : ToString (List α) :=
|
||||
⟨List.toString⟩
|
||||
|
||||
instance : ToString PUnit.{u+1} :=
|
||||
⟨fun _ => "()"⟩
|
||||
|
||||
@@ -89,11 +66,6 @@ instance : ToString Nat :=
|
||||
instance : ToString String.Pos.Raw :=
|
||||
⟨fun p => Nat.repr p.byteIdx⟩
|
||||
|
||||
instance : ToString Int where
|
||||
toString
|
||||
| Int.ofNat m => toString m
|
||||
| Int.negSucc m => String.Internal.append "-" (toString (succ m))
|
||||
|
||||
instance (n : Nat) : ToString (Fin n) :=
|
||||
⟨fun f => toString (Fin.val f)⟩
|
||||
|
||||
|
||||
43
src/Init/Data/ToString/Extra.lean
Normal file
43
src/Init/Data/ToString/Extra.lean
Normal file
@@ -0,0 +1,43 @@
|
||||
/-
|
||||
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
|
||||
Released under Apache 2.0 license as described in the file LICENSE.
|
||||
Author: Leonardo de Moura
|
||||
-/
|
||||
module
|
||||
|
||||
prelude
|
||||
public import Init.Data.String.Defs
|
||||
|
||||
public section
|
||||
|
||||
/--
|
||||
Converts a list into a string, using `ToString.toString` to convert its elements.
|
||||
|
||||
The resulting string resembles list literal syntax, with the elements separated by `", "` and
|
||||
enclosed in square brackets.
|
||||
|
||||
The resulting string may not be valid Lean syntax, because there's no such expectation for
|
||||
`ToString` instances.
|
||||
|
||||
Examples:
|
||||
* `[1, 2, 3].toString = "[1, 2, 3]"`
|
||||
* `["cat", "dog"].toString = "[cat, dog]"`
|
||||
* `["cat", "dog", ""].toString = "[cat, dog, ]"`
|
||||
-/
|
||||
protected def List.toString [ToString α] : List α → String
|
||||
| [] => "[]"
|
||||
| [x] => "[" ++ toString x ++ "]"
|
||||
| x::xs => String.push (xs.foldl (fun l r => l ++ ", " ++ toString r) ("[" ++ (toString x))) ']'
|
||||
|
||||
instance {α : Type u} [ToString α] : ToString (List α) :=
|
||||
⟨List.toString⟩
|
||||
|
||||
instance [ToString α] : ToString (Array α) where
|
||||
toString xs := "#" ++ (toString xs.toList)
|
||||
|
||||
instance : ToString ByteArray := ⟨fun bs => bs.toList.toString⟩
|
||||
|
||||
instance : ToString Int where
|
||||
toString
|
||||
| Int.ofNat m => toString m
|
||||
| Int.negSucc m => "-" ++ toString (m + 1)
|
||||
@@ -278,7 +278,7 @@ def mapFinIdxM {α : Type u} {β : Type v} {m : Type v → Type w} [Monad m]
|
||||
(xs : Vector α n) (f : (i : Nat) → α → (h : i < n) → m β) : m (Vector β n) :=
|
||||
let rec @[specialize] map (i : Nat) (j : Nat) (inv : i + j = n) (ys : Vector β (n - i)) : m (Vector β n) := do
|
||||
match i, inv with
|
||||
| 0, _ => pure ys
|
||||
| 0, inv => return ys.cast (by omega)
|
||||
| i+1, inv =>
|
||||
have j_lt : j < n := by
|
||||
rw [← inv, Nat.add_assoc, Nat.add_comm 1 j, Nat.add_comm]
|
||||
|
||||
@@ -862,7 +862,6 @@ grind_pattern Vector.getElem?_eq_none => xs[i]? where
|
||||
theorem getElem?_eq_some_iff {xs : Vector α n} : xs[i]? = some b ↔ ∃ h : i < n, xs[i] = b :=
|
||||
_root_.getElem?_eq_some_iff
|
||||
|
||||
@[grind →]
|
||||
theorem getElem_of_getElem? {xs : Vector α n} : xs[i]? = some a → ∃ h : i < n, xs[i] = a :=
|
||||
getElem?_eq_some_iff.mp
|
||||
|
||||
|
||||
@@ -363,7 +363,7 @@ theorem toArray_mapFinIdxM [Monad m] [LawfulMonad m] {xs : Vector α n}
|
||||
= Array.mapFinIdxM.map xs.toArray (fun i x h => f i x (size_toArray xs ▸ h))
|
||||
i j (size_toArray _ ▸ inv) bs.toArray := by
|
||||
match i with
|
||||
| 0 => simp only [mapFinIdxM.map, map_pure, Array.mapFinIdxM.map, Nat.sub_zero]
|
||||
| 0 => simp [mapFinIdxM.map, map_pure, Array.mapFinIdxM.map, Nat.sub_zero]
|
||||
| k + 1 =>
|
||||
simp only [mapFinIdxM.map, map_bind, Array.mapFinIdxM.map, getElem_toArray]
|
||||
conv => lhs; arg 2; intro; rw [go]
|
||||
|
||||
@@ -47,6 +47,7 @@ Creates a `TypeName` instance.
|
||||
For safety, it is required that the constant `typeName` is definitionally equal
|
||||
to `α`.
|
||||
-/
|
||||
@[implicit_reducible]
|
||||
unsafe def TypeName.mk (α : Type u) (typeName : Name) : TypeName α :=
|
||||
⟨unsafeCast typeName⟩
|
||||
|
||||
|
||||
@@ -15,6 +15,9 @@ Passed to `grind` using, for example, the `grind (config := { matchEqs := true }
|
||||
structure Config where
|
||||
/-- If `trace` is `true`, `grind` records used E-matching theorems and case-splits. -/
|
||||
trace : Bool := false
|
||||
/-- If `markInstances` is `true`, E-matching proofs are marked with instance IDs
|
||||
for precise tracking of which theorems appear in the final proof. -/
|
||||
markInstances : Bool := false
|
||||
/-- If `lax` is `true`, `grind` will silently ignore any parameters referring to non-existent theorems
|
||||
or for which no patterns can be generated. -/
|
||||
lax : Bool := false
|
||||
|
||||
@@ -177,7 +177,7 @@ syntax (name := next) "next " binderIdent* " => " grindSeq : grind
|
||||
`· grindSeq` focuses on the main `grind` goal and tries to solve it using the given
|
||||
sequence of `grind` tactics.
|
||||
-/
|
||||
macro dot:patternIgnore("· " <|> ". ") s:grindSeq : grind => `(grind| next%$dot =>%$dot $s:grindSeq )
|
||||
macro dot:unicode("· ", ". ") s:grindSeq : grind => `(grind| next%$dot =>%$dot $s:grindSeq )
|
||||
|
||||
/--
|
||||
`any_goals tac` applies the tactic `tac` to every goal,
|
||||
|
||||
@@ -266,6 +266,7 @@ export NoNatZeroDivisors (no_nat_zero_divisors)
|
||||
namespace NoNatZeroDivisors
|
||||
|
||||
/-- Alternative constructor for `NoNatZeroDivisors` when we have an `IntModule`. -/
|
||||
@[implicit_reducible]
|
||||
def mk' {α} [IntModule α]
|
||||
(eq_zero_of_mul_eq_zero : ∀ (k : Nat) (a : α), k ≠ 0 → k • a = 0 → a = 0) :
|
||||
NoNatZeroDivisors α where
|
||||
|
||||
@@ -501,6 +501,7 @@ private theorem mk'_aux {x y : Nat} (p : Nat) (h : y ≤ x) :
|
||||
omega
|
||||
|
||||
/-- Alternative constructor when `α` is a `Ring`. -/
|
||||
@[implicit_reducible]
|
||||
def mk' (p : Nat) (α : Type u) [Ring α]
|
||||
(ofNat_eq_zero_iff : ∀ (x : Nat), OfNat.ofNat (α := α) x = 0 ↔ x % p = 0) : IsCharP α p where
|
||||
ofNat_ext_iff {x y} := by
|
||||
|
||||
@@ -223,6 +223,7 @@ theorem natCast_div_of_dvd {x y : Nat} (h : y ∣ x) (w : (y : α) ≠ 0) :
|
||||
mul_inv_cancel w, Semiring.mul_one]
|
||||
|
||||
-- This is expensive as an instance. Let's see what breaks without it.
|
||||
@[implicit_reducible]
|
||||
def noNatZeroDivisors.ofIsCharPZero [IsCharP α 0] : NoNatZeroDivisors α := NoNatZeroDivisors.mk' <| by
|
||||
intro a b h w
|
||||
have := IsCharP.natCast_eq_zero_iff (α := α) 0 a
|
||||
|
||||
@@ -15,6 +15,7 @@ public section
|
||||
namespace Lean.Grind
|
||||
|
||||
/-- A `ToInt` instance on a semiring preserves powers if it preserves numerals and multiplication. -/
|
||||
@[implicit_reducible]
|
||||
def ToInt.pow_of_semiring [Semiring α] [ToInt α I] [ToInt.OfNat α I] [ToInt.Mul α I]
|
||||
(h₁ : I.isFinite) : ToInt.Pow α I where
|
||||
toInt_pow x n := by
|
||||
|
||||
@@ -350,6 +350,7 @@ theorem wrap_toInt (I : IntInterval) [ToInt α I] (x : α) :
|
||||
|
||||
/-- Construct a `ToInt.Sub` instance from a `ToInt.Add` and `ToInt.Neg` instance and
|
||||
a `sub_eq_add_neg` assumption. -/
|
||||
@[implicit_reducible]
|
||||
def Sub.of_sub_eq_add_neg {α : Type u} [_root_.Add α] [_root_.Neg α] [_root_.Sub α]
|
||||
(sub_eq_add_neg : ∀ x y : α, x - y = x + -y)
|
||||
{I : IntInterval} (h : I.isFinite) [ToInt α I] [Add α I] [Neg α I] : ToInt.Sub α I where
|
||||
|
||||
@@ -366,16 +366,19 @@ recommended_spelling "shiftLeft" for "<<<" in [HShiftLeft.hShiftLeft, «term_<<<
|
||||
recommended_spelling "shiftRight" for ">>>" in [HShiftRight.hShiftRight, «term_>>>_»]
|
||||
recommended_spelling "not" for "~~~" in [Complement.complement, «term~~~_»]
|
||||
|
||||
-- declare ASCII alternatives first so that the latter Unicode unexpander wins
|
||||
@[inherit_doc] infix:50 " <= " => LE.le
|
||||
@[inherit_doc] infix:50 " ≤ " => LE.le
|
||||
@[inherit_doc] infix:50 " < " => LT.lt
|
||||
@[inherit_doc] infix:50 " >= " => GE.ge
|
||||
@[inherit_doc] infix:50 " ≥ " => GE.ge
|
||||
@[inherit_doc] infix:50 " > " => GT.gt
|
||||
@[inherit_doc] infix:50 " = " => Eq
|
||||
@[inherit_doc] infix:50 " == " => BEq.beq
|
||||
@[inherit_doc] infix:50 " ≍ " => HEq
|
||||
-- TODO(kmill) remove these after stage0 update. There are builtin macros still using `«term_>=_»`
|
||||
@[inherit_doc] infix:50 (priority := low) " >= " => GE.ge
|
||||
@[inherit_doc] infix:50 (priority := low) " <= " => LE.le
|
||||
macro_rules | `($x >= $y) => `(binrel% GE.ge $x $y)
|
||||
macro_rules | `($x <= $y) => `(binrel% LE.le $x $y)
|
||||
|
||||
@[inherit_doc] infix:50 unicode(" ≤ ", " <= ") => LE.le
|
||||
@[inherit_doc] infix:50 " < " => LT.lt
|
||||
@[inherit_doc] infix:50 unicode(" ≥ ", " >= ") => GE.ge
|
||||
@[inherit_doc] infix:50 " > " => GT.gt
|
||||
@[inherit_doc] infix:50 " = " => Eq
|
||||
@[inherit_doc] infix:50 " == " => BEq.beq
|
||||
@[inherit_doc] infix:50 " ≍ " => HEq
|
||||
|
||||
/-!
|
||||
Remark: the infix commands above ensure a delaborator is generated for each relations.
|
||||
@@ -383,39 +386,27 @@ recommended_spelling "not" for "~~~" in [Complement.complement, «term~~~_»]
|
||||
It has better support for applying coercions. For example, suppose we have `binrel% Eq n i` where `n : Nat` and
|
||||
`i : Int`. The default elaborator fails because we don't have a coercion from `Int` to `Nat`, but
|
||||
`binrel%` succeeds because it also tries a coercion from `Nat` to `Int` even when the nat occurs before the int. -/
|
||||
macro_rules | `($x <= $y) => `(binrel% LE.le $x $y)
|
||||
macro_rules | `($x ≤ $y) => `(binrel% LE.le $x $y)
|
||||
macro_rules | `($x < $y) => `(binrel% LT.lt $x $y)
|
||||
macro_rules | `($x > $y) => `(binrel% GT.gt $x $y)
|
||||
macro_rules | `($x >= $y) => `(binrel% GE.ge $x $y)
|
||||
macro_rules | `($x ≥ $y) => `(binrel% GE.ge $x $y)
|
||||
macro_rules | `($x = $y) => `(binrel% Eq $x $y)
|
||||
macro_rules | `($x == $y) => `(binrel_no_prop% BEq.beq $x $y)
|
||||
|
||||
recommended_spelling "le" for "≤" in [LE.le, «term_≤_»]
|
||||
/-- prefer `≤` over `<=` -/
|
||||
recommended_spelling "le" for "<=" in [LE.le, «term_<=_»]
|
||||
recommended_spelling "lt" for "<" in [LT.lt, «term_<_»]
|
||||
recommended_spelling "gt" for ">" in [GT.gt, «term_>_»]
|
||||
recommended_spelling "ge" for "≥" in [GE.ge, «term_≥_»]
|
||||
/-- prefer `≥` over `>=` -/
|
||||
recommended_spelling "ge" for ">=" in [GE.ge, «term_>=_»]
|
||||
recommended_spelling "eq" for "=" in [Eq, «term_=_»]
|
||||
recommended_spelling "beq" for "==" in [BEq.beq, «term_==_»]
|
||||
recommended_spelling "heq" for "≍" in [HEq, «term_≍_»]
|
||||
|
||||
@[inherit_doc] infixr:35 " /\\ " => And
|
||||
@[inherit_doc] infixr:35 " ∧ " => And
|
||||
@[inherit_doc] infixr:30 " \\/ " => Or
|
||||
@[inherit_doc] infixr:30 " ∨ " => Or
|
||||
@[inherit_doc] infixr:35 unicode(" ∧ ", " /\\ ") => And
|
||||
@[inherit_doc] infixr:30 unicode(" ∨ ", " \\/ ") => Or
|
||||
@[inherit_doc] notation:max "¬" p:40 => Not p
|
||||
|
||||
recommended_spelling "and" for "∧" in [And, «term_∧_»]
|
||||
/-- prefer `∧` over `/\` -/
|
||||
recommended_spelling "and" for "/\\" in [And, «term_/\_»]
|
||||
recommended_spelling "or" for "∨" in [Or, «term_∨_»]
|
||||
/-- prefer `∨` over `\/` -/
|
||||
recommended_spelling "or" for "\\/" in [Or, «term_\/_»]
|
||||
recommended_spelling "not" for "¬" in [Not, «term¬_»]
|
||||
|
||||
@[inherit_doc] infixl:35 " && " => and
|
||||
|
||||
Some files were not shown because too many files have changed in this diff Show More
Reference in New Issue
Block a user