From 9754e03497bc2f345faf6fc1c289b5d3480d0d9e Mon Sep 17 00:00:00 2001 From: Laurent Sorber Date: Wed, 1 Jan 2025 22:55:53 +0100 Subject: [PATCH] feat: initial implementation --- .cruft.json | 29 + .devcontainer/devcontainer.json | 67 + .dockerignore | 5 + .github/dependabot.yml | 29 + .github/workflows/publish.yml | 27 + .github/workflows/test.yml | 47 + .gitignore | 64 + .pre-commit-config.yaml | 83 + Dockerfile | 101 + LICENSE | 21 + README.md | 130 ++ docker-compose.yml | 41 + poetry.lock | 3487 +++++++++++++++++++++++++++++++ pyproject.toml | 195 ++ src/wtpsplit_lite/__init__.py | 5 + src/wtpsplit_lite/_config.py | 50 + src/wtpsplit_lite/_extract.py | 247 +++ src/wtpsplit_lite/_sat.py | 405 ++++ src/wtpsplit_lite/_tokenizer.py | 75 + src/wtpsplit_lite/_utils.py | 153 ++ src/wtpsplit_lite/py.typed | 0 tests/__init__.py | 1 + tests/specrel.md | 1555 ++++++++++++++ tests/test_sat.py | 105 + 24 files changed, 6922 insertions(+) create mode 100644 .cruft.json create mode 100644 .devcontainer/devcontainer.json create mode 100644 .dockerignore create mode 100644 .github/dependabot.yml create mode 100644 .github/workflows/publish.yml create mode 100644 .github/workflows/test.yml create mode 100644 .gitignore create mode 100644 .pre-commit-config.yaml create mode 100644 Dockerfile create mode 100644 LICENSE create mode 100644 README.md create mode 100644 docker-compose.yml create mode 100644 poetry.lock create mode 100644 pyproject.toml create mode 100644 src/wtpsplit_lite/__init__.py create mode 100644 src/wtpsplit_lite/_config.py create mode 100644 src/wtpsplit_lite/_extract.py create mode 100644 src/wtpsplit_lite/_sat.py create mode 100644 src/wtpsplit_lite/_tokenizer.py create mode 100644 src/wtpsplit_lite/_utils.py create mode 100644 src/wtpsplit_lite/py.typed create mode 100644 tests/__init__.py create mode 100644 tests/specrel.md create mode 100644 tests/test_sat.py diff --git a/.cruft.json b/.cruft.json new file mode 100644 index 0000000..2a4f339 --- /dev/null +++ b/.cruft.json @@ -0,0 +1,29 @@ +{ + "template": "https://github.com/superlinear-ai/poetry-cookiecutter", + "commit": "0b4edb2d3ea619bfc3b2ffd440e2e95ca997f0f2", + "checkout": null, + "context": { + "cookiecutter": { + "project_type": "package", + "project_name": "wtpsplit-lite", + "project_description": "wtpsplit with minimal dependencies", + "project_url": "https://github.com/superlinear-ai/wtpsplit-lite", + "author_name": "Laurent Sorber", + "author_email": "laurent@superlinear.eu", + "python_version": "3.10", + "development_environment": "strict", + "with_conventional_commits": "1", + "with_fastapi_api": "0", + "with_typer_cli": "0", + "continuous_integration": "GitHub", + "private_package_repository_name": "", + "private_package_repository_url": "", + "__docker_image": "python:$PYTHON_VERSION-slim", + "__docstring_style": "NumPy", + "__project_name_kebab_case": "wtpsplit-lite", + "__project_name_snake_case": "wtpsplit_lite", + "_template": "https://github.com/superlinear-ai/poetry-cookiecutter" + } + }, + "directory": null +} diff --git a/.devcontainer/devcontainer.json b/.devcontainer/devcontainer.json new file mode 100644 index 0000000..2eca0c1 --- /dev/null +++ b/.devcontainer/devcontainer.json @@ -0,0 +1,67 @@ +{ + "name": "wtpsplit-lite", + "dockerComposeFile": "../docker-compose.yml", + "service": "devcontainer", + "workspaceFolder": "/workspaces/${localWorkspaceFolderBasename}/", + "remoteUser": "user", + "overrideCommand": true, + "postStartCommand": "cp --update /opt/build/poetry/poetry.lock /workspaces/${localWorkspaceFolderBasename}/ && mkdir -p /workspaces/${localWorkspaceFolderBasename}/.git/hooks/ && cp --update /opt/build/git/* /workspaces/${localWorkspaceFolderBasename}/.git/hooks/", + "customizations": { + "vscode": { + "extensions": [ + "charliermarsh.ruff", + "GitHub.copilot", + "GitHub.copilot-chat", + "GitHub.vscode-github-actions", + "GitHub.vscode-pull-request-github", + "ms-azuretools.vscode-docker", + "ms-python.mypy-type-checker", + "ms-python.python", + "ms-toolsai.jupyter", + "ryanluker.vscode-coverage-gutters", + "tamasfe.even-better-toml", + "visualstudioexptteam.vscodeintellicode" + ], + "settings": { + "coverage-gutters.coverageFileNames": [ + "reports/coverage.xml" + ], + "editor.codeActionsOnSave": { + "source.fixAll": "explicit", + "source.organizeImports": "explicit" + }, + "editor.formatOnSave": true, + "[python]": { + "editor.defaultFormatter": "charliermarsh.ruff" + }, + "[toml]": { + "editor.formatOnSave": false + }, + "editor.rulers": [ + 100 + ], + "files.autoSave": "onFocusChange", + "github.copilot.chat.edits.enabled": true, + "jupyter.kernels.excludePythonEnvironments": ["/usr/local/bin/python"], + "mypy-type-checker.importStrategy": "fromEnvironment", + "mypy-type-checker.preferDaemon": true, + "notebook.codeActionsOnSave": { + "notebook.source.fixAll": "explicit", + "notebook.source.organizeImports": "explicit" + }, + "notebook.formatOnSave.enabled": true, + "python.defaultInterpreterPath": "/opt/wtpsplit-lite-env/bin/python", + "python.terminal.activateEnvironment": false, + "python.testing.pytestEnabled": true, + "ruff.importStrategy": "fromEnvironment", + "ruff.logLevel": "warning", + "terminal.integrated.defaultProfile.linux": "zsh", + "terminal.integrated.profiles.linux": { + "zsh": { + "path": "/usr/bin/zsh" + } + } + } + } + } +} \ No newline at end of file diff --git a/.dockerignore b/.dockerignore new file mode 100644 index 0000000..c17c79a --- /dev/null +++ b/.dockerignore @@ -0,0 +1,5 @@ +# Caches +.*_cache/ + +# Git +.git/ diff --git a/.github/dependabot.yml b/.github/dependabot.yml new file mode 100644 index 0000000..93d5246 --- /dev/null +++ b/.github/dependabot.yml @@ -0,0 +1,29 @@ +version: 2 + +updates: + - package-ecosystem: github-actions + directory: / + schedule: + interval: monthly + commit-message: + prefix: "ci" + prefix-development: "ci" + include: scope + groups: + ci-dependencies: + patterns: + - "*" + - package-ecosystem: pip + directory: / + schedule: + interval: monthly + commit-message: + prefix: "chore" + prefix-development: "build" + include: scope + allow: + - dependency-type: development + versioning-strategy: increase + groups: + development-dependencies: + dependency-type: development diff --git a/.github/workflows/publish.yml b/.github/workflows/publish.yml new file mode 100644 index 0000000..fb01aa5 --- /dev/null +++ b/.github/workflows/publish.yml @@ -0,0 +1,27 @@ +name: Publish + +on: + release: + types: + - created + +jobs: + publish: + runs-on: ubuntu-latest + + steps: + - name: Checkout + uses: actions/checkout@v4 + + - name: Set up Python + uses: actions/setup-python@v5 + with: + python-version: "3.10" + + - name: Install Poetry + run: pip install --no-input poetry + + - name: Publish package + run: | + poetry config pypi-token.pypi "${{ secrets.POETRY_PYPI_TOKEN_PYPI }}" + poetry publish --build diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml new file mode 100644 index 0000000..e8c5196 --- /dev/null +++ b/.github/workflows/test.yml @@ -0,0 +1,47 @@ +name: Test + +on: + push: + branches: + - main + - master + pull_request: + +jobs: + test: + runs-on: ubuntu-latest + + strategy: + fail-fast: false + matrix: + python-version: ["3.10"] + + name: Python ${{ matrix.python-version }} + + steps: + - name: Checkout + uses: actions/checkout@v4 + + - name: Set up Node.js + uses: actions/setup-node@v4 + with: + node-version: 23 + + - name: Install @devcontainers/cli + run: npm install --location=global @devcontainers/cli@0.72.0 + + - name: Start Dev Container + run: | + git config --global init.defaultBranch main + PYTHON_VERSION=${{ matrix.python-version }} devcontainer up --workspace-folder . + + - name: Lint package + run: devcontainer exec --workspace-folder . poe lint + + - name: Test package + run: devcontainer exec --workspace-folder . poe test + + - name: Upload coverage + uses: codecov/codecov-action@v5 + with: + files: reports/coverage.xml diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..3b903be --- /dev/null +++ b/.gitignore @@ -0,0 +1,64 @@ +# Coverage.py +htmlcov/ +reports/ + +# cruft +*.rej + +# Data +*.csv* +*.dat* +*.pickle* +*.xls* +*.zip* +data/ + +# direnv +.envrc + +# dotenv +.env + +# Hypothesis +.hypothesis/ + +# Jupyter +*.ipynb +.ipynb_checkpoints/ +notebooks/ + +# macOS +.DS_Store + +# mypy +.dmypy.json +.mypy_cache/ + +# Node.js +node_modules/ + +# Poetry +.venv/ +dist/ + +# PyCharm +.idea/ + +# pyenv +.python-version + +# pytest +.pytest_cache/ + +# Python +__pycache__/ +*.py[cdo] + +# Ruff +.ruff_cache/ + +# Terraform +.terraform/ + +# VS Code +.vscode/ diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml new file mode 100644 index 0000000..d87be9a --- /dev/null +++ b/.pre-commit-config.yaml @@ -0,0 +1,83 @@ +# https://pre-commit.com +default_install_hook_types: [commit-msg, pre-commit] +default_stages: [pre-commit, manual] +fail_fast: true +repos: + - repo: meta + hooks: + - id: check-useless-excludes + - repo: https://github.com/pre-commit/pygrep-hooks + rev: v1.10.0 + hooks: + - id: python-check-mock-methods + - id: python-use-type-annotations + - id: rst-backticks + - id: rst-directive-colons + - id: rst-inline-touching-normal + - id: text-unicode-replacement-char + - repo: https://github.com/pre-commit/pre-commit-hooks + rev: v4.5.0 + hooks: + - id: check-added-large-files + - id: check-ast + - id: check-builtin-literals + - id: check-case-conflict + - id: check-docstring-first + - id: check-json + - id: check-merge-conflict + - id: check-shebang-scripts-are-executable + - id: check-symlinks + - id: check-toml + - id: check-vcs-permalinks + - id: check-xml + - id: check-yaml + - id: debug-statements + - id: destroyed-symlinks + - id: detect-private-key + - id: end-of-file-fixer + types: [python] + - id: fix-byte-order-marker + - id: mixed-line-ending + - id: name-tests-test + args: [--pytest-test-first] + - id: trailing-whitespace + types: [python] + - repo: local + hooks: + - id: commitizen + name: commitizen + entry: cz check + args: [--commit-msg-file] + require_serial: true + language: system + stages: [commit-msg] + - id: ruff-check + name: ruff check + entry: ruff check + args: ["--force-exclude", "--extend-fixable=ERA001,F401,F841,T201,T203"] + require_serial: true + language: system + types_or: [python, pyi] + - id: ruff-format + name: ruff format + entry: ruff format + args: [--force-exclude] + require_serial: true + language: system + types_or: [python, pyi] + - id: shellcheck + name: shellcheck + entry: shellcheck + args: [--check-sourced] + language: system + types: [shell] + - id: poetry-check + name: poetry check + entry: poetry check + language: system + pass_filenames: false + - id: mypy + name: mypy + entry: mypy + language: system + types: [python] diff --git a/Dockerfile b/Dockerfile new file mode 100644 index 0000000..98ba675 --- /dev/null +++ b/Dockerfile @@ -0,0 +1,101 @@ +# syntax=docker/dockerfile:1 +ARG PYTHON_VERSION=3.10 +FROM python:$PYTHON_VERSION-slim AS base + +# Remove docker-clean so we can keep the apt cache in Docker build cache. +RUN rm /etc/apt/apt.conf.d/docker-clean + +# Configure Python to print tracebacks on crash [1], and to not buffer stdout and stderr [2]. +# [1] https://docs.python.org/3/using/cmdline.html#envvar-PYTHONFAULTHANDLER +# [2] https://docs.python.org/3/using/cmdline.html#envvar-PYTHONUNBUFFERED +ENV PYTHONFAULTHANDLER 1 +ENV PYTHONUNBUFFERED 1 + +# Create a non-root user and switch to it [1]. +# [1] https://code.visualstudio.com/remote/advancedcontainers/add-nonroot-user +ARG UID=1000 +ARG GID=$UID +RUN groupadd --gid $GID user && \ + useradd --create-home --gid $GID --uid $UID user --no-log-init && \ + chown user /opt/ +USER user + +# Create and activate a virtual environment. +ENV VIRTUAL_ENV /opt/wtpsplit-lite-env +ENV PATH $VIRTUAL_ENV/bin:$PATH +RUN python -m venv $VIRTUAL_ENV + +# Set the working directory. +WORKDIR /workspaces/wtpsplit-lite/ + + + +FROM base AS poetry + +USER root + +# Install Poetry in separate venv so it doesn't pollute the main venv. +ENV POETRY_VERSION 1.8.0 +ENV POETRY_VIRTUAL_ENV /opt/poetry-env +RUN --mount=type=cache,target=/root/.cache/pip/ \ + python -m venv $POETRY_VIRTUAL_ENV && \ + $POETRY_VIRTUAL_ENV/bin/pip install poetry~=$POETRY_VERSION && \ + ln -s $POETRY_VIRTUAL_ENV/bin/poetry /usr/local/bin/poetry + +# Install compilers that may be required for certain packages or platforms. +RUN --mount=type=cache,target=/var/cache/apt/ \ + --mount=type=cache,target=/var/lib/apt/ \ + apt-get update && \ + apt-get install --no-install-recommends --yes build-essential + +USER user + +# Install the run time Python dependencies in the virtual environment. +COPY --chown=user:user poetry.lock* pyproject.toml /workspaces/wtpsplit-lite/ +RUN mkdir -p /home/user/.cache/pypoetry/ && mkdir -p /home/user/.config/pypoetry/ && \ + mkdir -p src/wtpsplit_lite/ && touch src/wtpsplit_lite/__init__.py && touch README.md +RUN --mount=type=cache,uid=$UID,gid=$GID,target=/home/user/.cache/pypoetry/ \ + poetry install --only main --all-extras --no-interaction + + + +FROM poetry AS dev + +# Install development tools: curl, git, gpg, ssh, starship, sudo, vim, and zsh. +USER root +RUN --mount=type=cache,target=/var/cache/apt/ \ + --mount=type=cache,target=/var/lib/apt/ \ + apt-get update && \ + apt-get install --no-install-recommends --yes curl git gnupg ssh sudo vim zsh && \ + sh -c "$(curl -fsSL https://starship.rs/install.sh)" -- "--yes" && \ + usermod --shell /usr/bin/zsh user && \ + echo 'user ALL=(root) NOPASSWD:ALL' > /etc/sudoers.d/user && chmod 0440 /etc/sudoers.d/user +RUN git config --system --add safe.directory '*' +USER user + +# Install the development Python dependencies in the virtual environment. +RUN --mount=type=cache,uid=$UID,gid=$GID,target=/home/user/.cache/pypoetry/ \ + poetry install --all-extras --no-interaction + +# Persist output generated during docker build so that we can restore it in the dev container. +COPY --chown=user:user .pre-commit-config.yaml /workspaces/wtpsplit-lite/ +RUN mkdir -p /opt/build/poetry/ && cp poetry.lock /opt/build/poetry/ && \ + git init && pre-commit install --install-hooks && \ + mkdir -p /opt/build/git/ && cp .git/hooks/commit-msg .git/hooks/pre-commit /opt/build/git/ + +# Configure the non-root user's shell. +ENV ANTIDOTE_VERSION 1.8.6 +RUN git clone --branch v$ANTIDOTE_VERSION --depth=1 https://github.com/mattmc3/antidote.git ~/.antidote/ && \ + echo 'zsh-users/zsh-syntax-highlighting' >> ~/.zsh_plugins.txt && \ + echo 'zsh-users/zsh-autosuggestions' >> ~/.zsh_plugins.txt && \ + echo 'source ~/.antidote/antidote.zsh' >> ~/.zshrc && \ + echo 'antidote load' >> ~/.zshrc && \ + echo 'eval "$(starship init zsh)"' >> ~/.zshrc && \ + echo 'HISTFILE=~/.history/.zsh_history' >> ~/.zshrc && \ + echo 'HISTSIZE=1000' >> ~/.zshrc && \ + echo 'SAVEHIST=1000' >> ~/.zshrc && \ + echo 'setopt share_history' >> ~/.zshrc && \ + echo 'bindkey "^[[A" history-beginning-search-backward' >> ~/.zshrc && \ + echo 'bindkey "^[[B" history-beginning-search-forward' >> ~/.zshrc && \ + mkdir ~/.history/ && \ + zsh -c 'source ~/.zshrc' diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..4f39a40 --- /dev/null +++ b/LICENSE @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2025 Superlinear + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +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. diff --git a/README.md b/README.md new file mode 100644 index 0000000..d6cdac4 --- /dev/null +++ b/README.md @@ -0,0 +1,130 @@ +[![Open in Dev Containers](https://img.shields.io/static/v1?label=Dev%20Containers&message=Open&color=blue&logo=data:image/svg%2bxml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHZpZXdCb3g9IjAgMCAyNCAyNCI+PHBhdGggZmlsbD0iI2ZmZiIgZD0iTTE3IDE2VjdsLTYgNU0yIDlWOGwxLTFoMWw0IDMgOC04aDFsNCAyIDEgMXYxNGwtMSAxLTQgMmgtMWwtOC04LTQgM0gzbC0xLTF2LTFsMy0zIi8+PC9zdmc+)](https://vscode.dev/redirect?url=vscode://ms-vscode-remote.remote-containers/cloneInVolume?url=https://github.com/superlinear-ai/wtpsplit-lite) [![Open in GitHub Codespaces](https://img.shields.io/static/v1?label=GitHub%20Codespaces&message=Open&color=blue&logo=github)](https://github.com/codespaces/new/superlinear-ai/wtpsplit-lite) + +# ✂️ wtpsplit-lite + +🪓 [wtpsplit](https://github.com/segment-any-text/wtpsplit) is a Python package that offers training, inference, and evaluation of state-of-the-art Segment any Text (SaT) models for partitioning text into sentences. + +✂️ [wtpsplit-lite](https://github.com/superlinear-ai/wtpsplit-lite) is a lightweight version of wtsplit that only retains accelerated ONNX inference of SaT models with minimal dependencies: + +1. [huggingface-hub](https://github.com/huggingface/huggingface_hub) to download the model +2. [numpy](https://github.com/numpy/numpy) to process the model in- and output +3. [onnxruntime](https://github.com/microsoft/onnxruntime) to run the model +4. [tokenizers](https://github.com/huggingface/tokenizers) to tokenize the text for the model + +## Installing + +To install this package, run: + +```sh +pip install wtpsplit-lite +``` + +## Using + +> [!TIP] +> For a complete list of Segment any Text (SaT) models and all `SaT.split` keyword arguments, see the [wtsplit README](https://github.com/segment-any-text/wtpsplit). + +Example usage: + +```python +from wtpsplit_lite import SaT + +text = """ +It is known that Maxwell’s electrodynamics—as usually understood at the +present time—when applied to moving bodies, leads to asymmetries which do +not appear to be inherent in the phenomena. Take, for example, the recipro- +cal electrodynamic action of a magnet and a conductor. +""" + +# Fast (~150ms/page), good quality: +sat = SaT("sat-3l-sm") +sentences = sat.split(text, stride=128, block_size=256) + +# Slow, highest quality: +sat = SaT("sat-12l-sm") +sentences = sat.split(text) +``` + +This package also [contributes a new 'hat' weighting scheme to wtpsplit](https://github.com/segment-any-text/wtpsplit/pull/147) that improves output quality when using large strides. To enable it, set `weighting="hat"` as follows: + +```python +# Fast (~150ms/page), better quality: +sat = SaT("sat-3l-sm") +sentences = sat.split(text, stride=128, block_size=256, weighting="hat") +``` + +> [!NOTE] +> In wtpsplit, the SaT implementation treats newlines as sentence boundaries by default. However, this leads to poor results on text extracted from PDF such as in the example above. In wtpsplit-lite, newlines are therefore treated as whitepace by default. You can choose which behavior you prefer with the `treat_newline_as_space` boolean keyword argument of the `SaT.split` method. + +## Contributing + +
+Prerequisites + +
+1. Set up Git to use SSH + +1. [Generate an SSH key](https://docs.github.com/en/authentication/connecting-to-github-with-ssh/generating-a-new-ssh-key-and-adding-it-to-the-ssh-agent#generating-a-new-ssh-key) and [add the SSH key to your GitHub account](https://docs.github.com/en/authentication/connecting-to-github-with-ssh/adding-a-new-ssh-key-to-your-github-account). +1. Configure SSH to automatically load your SSH keys: + ```sh + cat << EOF >> ~/.ssh/config + + Host * + AddKeysToAgent yes + IgnoreUnknown UseKeychain + UseKeychain yes + ForwardAgent yes + EOF + ``` + +
+ +
+2. Install Docker + +1. [Install Docker Desktop](https://www.docker.com/get-started). + - _Linux only_: + - Export your user's user id and group id so that [files created in the Dev Container are owned by your user](https://github.com/moby/moby/issues/3206): + ```sh + cat << EOF >> ~/.bashrc + + export UID=$(id --user) + export GID=$(id --group) + EOF + ``` + +
+ +
+3. Install VS Code or PyCharm + +1. [Install VS Code](https://code.visualstudio.com/) and [VS Code's Dev Containers extension](https://marketplace.visualstudio.com/items?itemName=ms-vscode-remote.remote-containers). Alternatively, install [PyCharm](https://www.jetbrains.com/pycharm/download/). +2. _Optional:_ install a [Nerd Font](https://www.nerdfonts.com/font-downloads) such as [FiraCode Nerd Font](https://github.com/ryanoasis/nerd-fonts/tree/master/patched-fonts/FiraCode) and [configure VS Code](https://github.com/tonsky/FiraCode/wiki/VS-Code-Instructions) or [configure PyCharm](https://github.com/tonsky/FiraCode/wiki/Intellij-products-instructions) to use it. + +
+ +
+ +
+Development environments + +The following development environments are supported: + +1. ⭐️ _GitHub Codespaces_: click on _Code_ and select _Create codespace_ to start a Dev Container with [GitHub Codespaces](https://github.com/features/codespaces). +1. ⭐️ _Dev Container (with container volume)_: click on [Open in Dev Containers](https://vscode.dev/redirect?url=vscode://ms-vscode-remote.remote-containers/cloneInVolume?url=https://github.com/superlinear-ai/wtpsplit-lite) to clone this repository in a container volume and create a Dev Container with VS Code. +1. _Dev Container_: clone this repository, open it with VS Code, and run Ctrl/⌘ + ⇧ + P → _Dev Containers: Reopen in Container_. +1. _PyCharm_: clone this repository, open it with PyCharm, and [configure Docker Compose as a remote interpreter](https://www.jetbrains.com/help/pycharm/using-docker-compose-as-a-remote-interpreter.html#docker-compose-remote) with the `dev` service. +1. _Terminal_: clone this repository, open it with your terminal, and run `docker compose up --detach dev` to start a Dev Container in the background, and then run `docker compose exec dev zsh` to open a shell prompt in the Dev Container. + +
+ +
+Developing + +- This project follows the [Conventional Commits](https://www.conventionalcommits.org/) standard to automate [Semantic Versioning](https://semver.org/) and [Keep A Changelog](https://keepachangelog.com/) with [Commitizen](https://github.com/commitizen-tools/commitizen). +- Run `poe` from within the development environment to print a list of [Poe the Poet](https://github.com/nat-n/poethepoet) tasks available to run on this project. +- Run `poetry add {package}` from within the development environment to install a run time dependency and add it to `pyproject.toml` and `poetry.lock`. Add `--group test` or `--group dev` to install a CI or development dependency, respectively. +- Run `poetry update` from within the development environment to upgrade all dependencies to the latest versions allowed by `pyproject.toml`. +- Run `cz bump` to bump the package's version, update the `CHANGELOG.md`, and create a git tag. + +
diff --git a/docker-compose.yml b/docker-compose.yml new file mode 100644 index 0000000..51b181d --- /dev/null +++ b/docker-compose.yml @@ -0,0 +1,41 @@ +version: "3.9" + +services: + + devcontainer: + build: + context: . + target: dev + args: + PYTHON_VERSION: ${PYTHON_VERSION:-3.10} + UID: ${UID:-1000} + GID: ${GID:-1000} + environment: + - POETRY_PYPI_TOKEN_PYPI + volumes: + - ..:/workspaces + - command-history-volume:/home/user/.history/ + + dev: + extends: devcontainer + stdin_open: true + tty: true + entrypoint: [] + command: + [ + "sh", + "-c", + "sudo chown user $$SSH_AUTH_SOCK && cp --update /opt/build/poetry/poetry.lock /workspaces/wtpsplit-lite/ && mkdir -p /workspaces/wtpsplit-lite/.git/hooks/ && cp --update /opt/build/git/* /workspaces/wtpsplit-lite/.git/hooks/ && zsh" + ] + environment: + - POETRY_PYPI_TOKEN_PYPI + - SSH_AUTH_SOCK=/run/host-services/ssh-auth.sock + volumes: + - ~/.gitconfig:/etc/gitconfig + - ~/.ssh/known_hosts:/home/user/.ssh/known_hosts + - 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true +warn_unreachable = true + +[tool.pytest.ini_options] # https://docs.pytest.org/en/latest/reference/reference.html#ini-options-ref +addopts = "--color=yes --doctest-modules --exitfirst --failed-first --strict-config --strict-markers --verbosity=2 --junitxml=reports/pytest.xml" +filterwarnings = ["error", "ignore::DeprecationWarning"] +testpaths = ["src", "tests"] +xfail_strict = true + +[tool.ruff] # https://github.com/charliermarsh/ruff +fix = true +line-length = 100 +src = ["src", "tests"] +target-version = "py310" + +[tool.ruff.lint] +select = [ + "A", + "ASYNC", + "B", + "BLE", + "C4", + "C90", + "D", + "DTZ", + "E", + "EM", + "ERA", + "F", + "FBT", + "FLY", + "FURB", + "G", + "I", + "ICN", + "INP", + "INT", + "ISC", + "LOG", + "N", + "NPY", + "PERF", + "PGH", + "PIE", + "PL", + "PT", + "PTH", + "PYI", + "Q", + "RET", + "RSE", + "RUF", + "S", + "SIM", + "SLF", + "SLOT", + "T10", + "T20", + "TCH", + "TID", + "TRY", + "UP", + "W", + "YTT", +] +ignore = ["D203", "D213", "E501", "RET504", "S101", "S307"] +unfixable = ["ERA001", "F401", "F841", "T201", "T203"] + +[tool.ruff.lint.flake8-tidy-imports] +ban-relative-imports = "all" + +[tool.ruff.lint.pycodestyle] +max-doc-length = 100 + +[tool.ruff.lint.pydocstyle] +convention = "numpy" + +[tool.poe.tasks] # https://github.com/nat-n/poethepoet + +[tool.poe.tasks.docs] +help = "Generate this package's docs" +cmd = """ + pdoc + --docformat $docformat + --output-directory $outputdirectory + wtpsplit_lite + """ + +[[tool.poe.tasks.docs.args]] +help = "The docstring style (default: numpy)" +name = "docformat" +options = ["--docformat"] +default = "numpy" + +[[tool.poe.tasks.docs.args]] +help = "The output directory (default: docs)" +name = "outputdirectory" +options = ["--output-directory"] +default = "docs" + +[tool.poe.tasks.lint] +help = "Lint this package" + +[[tool.poe.tasks.lint.sequence]] +cmd = """ + pre-commit run + --all-files + --color always + """ + +[[tool.poe.tasks.lint.sequence]] +shell = "safety check --continue-on-error --full-report" + +[tool.poe.tasks.test] +help = "Test this package" + +[[tool.poe.tasks.test.sequence]] +cmd = "coverage run" + +[[tool.poe.tasks.test.sequence]] +cmd = "coverage report" + +[[tool.poe.tasks.test.sequence]] +cmd = "coverage xml" diff --git a/src/wtpsplit_lite/__init__.py b/src/wtpsplit_lite/__init__.py new file mode 100644 index 0000000..070bac9 --- /dev/null +++ b/src/wtpsplit_lite/__init__.py @@ -0,0 +1,5 @@ +"""wtpsplit-lite.""" + +from wtpsplit_lite._sat import SaT + +__all__ = ["SaT"] diff --git a/src/wtpsplit_lite/_config.py b/src/wtpsplit_lite/_config.py new file mode 100644 index 0000000..222a7d5 --- /dev/null +++ b/src/wtpsplit_lite/_config.py @@ -0,0 +1,50 @@ +"""Shim for transformers.AutoConfig.""" + +import json +from functools import cache +from pathlib import Path + +from huggingface_hub import hf_hub_download + + +class SubwordXLMConfig: + """Config for XLM-R. Used for token-level training, i.e., SaT models. + + Args: + XLMRobertaConfig: Base class. + """ + + model_type = "xlm-token" + mixture_name = "xlm-token" + + def __init__( + self, + lookahead=None, + lookahead_split_layers=None, + **model_config, + ): + self.mixture_name = "xlm-token" + self.lookahead = lookahead + self.lookahead_split_layers = lookahead_split_layers + self.num_hash_buckets = 8192 + self.num_hash_functions = 8 + for key, value in model_config.items(): + setattr(self, key, value) + + @property + def num_labels(self) -> int: + """The number of labels for classification models.""" + return len(getattr(self, "id2label", {})) + + @classmethod + @cache + def from_pretrained(cls, pretrained_model_name_or_path: str) -> "SubwordXLMConfig": + is_local = Path.is_file(Path(pretrained_model_name_or_path)) + model_config_filepath = Path( + pretrained_model_name_or_path + if is_local + else hf_hub_download(pretrained_model_name_or_path, "config.json") + ) + with model_config_filepath.open("r") as f: + model_config = json.load(f) + return cls(**model_config) diff --git a/src/wtpsplit_lite/_extract.py b/src/wtpsplit_lite/_extract.py new file mode 100644 index 0000000..c4dee56 --- /dev/null +++ b/src/wtpsplit_lite/_extract.py @@ -0,0 +1,247 @@ +"""Minimal subset of wtpsplit.extract.""" +# This file uses old-style type hints and ignores certain ruff rules to minimise changes w.r.t. the original implementation: +# ruff: noqa: C901, PLR0913, PLR0912, PLR0915, ERA001, W505, FBT001, FBT002, PLR2004, B905, TRY003, EM101 + +import logging +import math +import sys +from typing import Literal + +import numpy as np +import onnxruntime as ort +from tqdm.auto import tqdm + +from wtpsplit_lite._config import SubwordXLMConfig +from wtpsplit_lite._tokenizer import XLMRobertaTokenizerFast +from wtpsplit_lite._utils import Constants, hash_encode + +logger = logging.getLogger(__name__) + + +class SaTORTWrapper: + def __init__(self, config: SubwordXLMConfig, ort_session: ort.InferenceSession): + self.config = config + self.ort_session = ort_session + + def __getattr__(self, name): + assert hasattr(self, "ort_session") + return getattr(self.ort_session, name) + + def __call__(self, input_ids, attention_mask): + logits = self.ort_session.run( + ["logits"], + { + "attention_mask": attention_mask.astype(np.float16), + "input_ids": input_ids.astype(np.int64), + }, + )[0] + + return {"logits": logits} + + +def extract( + batch_of_texts: list[str], + model: SaTORTWrapper, + stride: int, + max_block_size: int, + batch_size: int, + lang_code: str | None = None, + pad_last_batch: bool = False, + weighting: Literal["uniform", "hat"] = "uniform", + verbose: bool = False, + tokenizer: XLMRobertaTokenizerFast | None = None, +): + """Compute logits for the given batch of texts. + + Computes logits for the given batch of texts by: + 1. slicing the texts into chunks of size `block_size`. + 2. passing every chunk through the model forward. + 3. stitching predictings back together by averaging chunk logits. + + ad 1.: text is sliced into partially overlapping chunks by moving forward by a `stride` parameter (think conv1d). + """ + if "xlm" in model.config.model_type: + use_subwords = True + if not tokenizer: + tokenizer = XLMRobertaTokenizerFast.from_pretrained("facebookAI/xlm-roberta-base") + # tokenizer.add_special_tokens({"additional_special_tokens": [AddedToken("\n")]}) + tokens = tokenizer( + batch_of_texts, return_offsets_mapping=True, verbose=False, add_special_tokens=False + ) + # remove CLS and SEP tokens, they are added later anyhow + # batch_of_texts = [text[1:-1] for text in tokens["input_ids"]] + batch_of_texts = tokens["input_ids"] # type: ignore[assignment] + # offset_mapping = [offset[1:-1] for offset in tokens["offset_mapping"]] + offset_mapping = tokens["offset_mapping"] + cls_token_id = tokenizer.cls_token_id + sep_token_id = tokenizer.sep_token_id + pad_token_id = tokenizer.pad_token_id + else: + pad_token_id = 0 + use_subwords = False + + text_lengths = [len(text) for text in batch_of_texts] + # reduce block size if possible + block_size = min(max_block_size, max(text_lengths)) + if use_subwords and block_size > 510: + overflow_length = block_size - 510 + block_size -= overflow_length # account for CLS and SEP tokens + + # make sure block_size is a multiple of downsampling rate + downsampling_rate = getattr(model.config, "downsampling_rate", 1) + block_size = math.ceil(block_size / downsampling_rate) * downsampling_rate + + # total number of forward passes + num_chunks = sum(math.ceil(max(length - block_size, 0) / stride) + 1 for length in text_lengths) + + # preallocate a buffer for all input hashes & attention masks + if not use_subwords: + input_hashes = np.zeros( + (num_chunks, block_size, model.config.num_hash_functions), dtype=np.int64 + ) + attention_mask = np.zeros((num_chunks, block_size), dtype=np.float32) + else: + input_ids = np.zeros((num_chunks, block_size + 2), dtype=np.int64) + attention_mask = np.zeros((num_chunks, block_size + 2), dtype=np.float32) + + # locs keep track of the location of every chunk with a 3-tuple (text_idx, char_start, char_end) that indexes + # back into the batch_of_texts + locs = np.zeros((num_chunks, 3), dtype=np.int32) + + if not use_subwords: + # this is equivalent to (but faster than) np.array([ord(c) for c in "".join(batch_of_texts)]) + codec = "utf-32-le" if sys.byteorder == "little" else "utf-32-be" + ordinals = np.frombuffer(bytearray("".join(batch_of_texts), encoding=codec), dtype=np.int32) + # hash encode all ids + flat_hashed_ids = hash_encode( + ordinals, + num_hashes=model.config.num_hash_functions, + num_buckets=model.config.num_hash_buckets, + ) + # note that ordinals and flat_hashed_ids have the same length + offset = 0 + current_chunk = 0 + + # create chunks + for i in range(len(batch_of_texts)): + for j in range(0, text_lengths[i], stride): + # for every chunk, assign input hashes, attention mask and loc + start, end = j, j + block_size + done = False + + if end >= text_lengths[i]: + end = text_lengths[i] + start = max(end - block_size, 0) + done = True + + if not use_subwords: + input_hashes[current_chunk, : end - start] = flat_hashed_ids[ + offset + start : offset + end + ] + attention_mask[current_chunk, : end - start] = 1 + else: + chunk = [cls_token_id] + batch_of_texts[i][start:end] + [sep_token_id] # type: ignore[operator] + input_ids[current_chunk, : len(chunk)] = chunk + attention_mask[current_chunk, : len(chunk)] = 1 + + locs[current_chunk, :] = [i, start, end] + current_chunk += 1 + + if done: + break + + offset += text_lengths[i] + + assert current_chunk == num_chunks + n_batches = math.ceil(len(attention_mask) / batch_size) + + # containers for the final logits + all_logits = [ + np.zeros( + (length, model.config.num_labels), + dtype=np.float16, + ) + for length in text_lengths + ] + # container for the number of chunks that any character was part of (to average chunk predictions) + all_counts = [np.zeros(length, dtype=np.float16) for length in text_lengths] + + uses_lang_adapters = getattr(model.config, "language_adapter", "off") == "on" + if uses_lang_adapters: + if lang_code is None: + raise ValueError( + "Please specify a `lang_code` when using a model with language adapters." + ) + + language_ids = np.array( + [Constants.LANG_CODE_TO_INDEX[lang_code]] * batch_size, + dtype=int, + ) + else: + language_ids = None + + # forward passes through all chunks + for batch_idx in tqdm(range(n_batches), disable=not verbose): + start, end = batch_idx * batch_size, min(len(attention_mask), (batch_idx + 1) * batch_size) + + if not use_subwords: + batch_input_hashes = input_hashes[start:end] + else: + batch_input_ids = input_ids[start:end] + batch_attention_mask = attention_mask[start:end] + + if len(batch_attention_mask) < batch_size and pad_last_batch: + n_missing = batch_size - len(batch_attention_mask) + + if not use_subwords: + batch_input_hashes = np.pad(batch_input_hashes, ((0, n_missing), (0, 0), (0, 0))) + else: + # Pad with the specific pad_token_id for the tokenizer + batch_input_ids = np.pad( + batch_input_ids, ((0, n_missing), (0, 0)), constant_values=pad_token_id + ) + batch_attention_mask = np.pad(batch_attention_mask, ((0, n_missing), (0, 0))) + + kwargs = ( + {"language_ids": language_ids[: len(batch_attention_mask)]} # type: ignore[index] + if uses_lang_adapters + else {} + ) + if use_subwords: + kwargs["input_ids"] = batch_input_ids + else: + kwargs["hashed_ids"] = batch_input_hashes + + logits = model( + attention_mask=batch_attention_mask, + **kwargs, + )["logits"] + + if use_subwords: + logits = logits[:, 1:-1, :] # remove CLS and SEP tokens + + if weighting == "uniform": + weights = np.ones(block_size, dtype=np.float16) + elif weighting == "hat": + x = np.linspace(-(1 - 1 / block_size), 1 - 1 / block_size, block_size, dtype=np.float16) + weights = 1 - np.abs(x) # type: ignore[assignment] + for i in range(start, end): + original_idx, start_char_idx, end_char_idx = locs[i] + n = end_char_idx - start_char_idx + all_logits[original_idx][start_char_idx:end_char_idx] += ( + weights[:n, np.newaxis] * logits[i - start, :n] + ) + all_counts[original_idx][start_char_idx:end_char_idx] += weights[:n] + + # so far, logits are summed, so we average them here + all_logits = [ + (logits / counts[:, None]).astype(np.float16) # type: ignore[misc] + for logits, counts in zip(all_logits, all_counts) + ] + + return ( + all_logits, + offset_mapping if use_subwords else None, + tokenizer if use_subwords else None, + tokens if use_subwords else None, + ) diff --git a/src/wtpsplit_lite/_sat.py b/src/wtpsplit_lite/_sat.py new file mode 100644 index 0000000..4d2d2eb --- /dev/null +++ b/src/wtpsplit_lite/_sat.py @@ -0,0 +1,405 @@ +"""Segment Any Text from wtsplit.""" +# This file uses old-style type hints and ignores certain ruff rules to minimise changes w.r.t. the original implementation: +# ruff: noqa: C901, PLR0913, PLR0912, PTH112, TRY003, EM101, SIM102, W505, FBT001, FBT002, RET505, B007, B905 + +import math +import os +from functools import cache +from pathlib import Path +from typing import Any, Literal + +import numpy as np +import onnxruntime as ort +from huggingface_hub import hf_hub_download + +from wtpsplit_lite._config import SubwordXLMConfig +from wtpsplit_lite._extract import SaTORTWrapper, extract +from wtpsplit_lite._tokenizer import XLMRobertaTokenizerFast +from wtpsplit_lite._utils import Constants, indices_to_sentences, sigmoid, token_to_char_probs + +cached_hf_hub_download = cache(hf_hub_download) + +# Avoid: "huggingface/tokenizers: The current process just got forked, after parallelism has already +# been used. Disabling parallelism to avoid deadlocks..." +os.environ["TOKENIZERS_PARALLELISM"] = "true" + + +def _default_onnx_providers() -> list[str]: + # https://onnxruntime.ai/docs/execution-providers/#summary-of-supported-execution-providers + available_providers = ort.get_available_providers() + preferred_providers = [ + # GPU + "CUDAExecutionProvider", + "TensorrtExecutionProvider", + "ROCMExecutionProvider", + "DmlExecutionProvider", + "MIGraphXExecutionProvider", + "TvmExecutionProvider", + # Mobile + # "CoreMLExecutionProvider", # Does not support SaT's dimenions + "QNNExecutionProvider", + "ArmNNExecutionProvider", + "ACLExecutionProvider", + "XnnpackExecutionProvider", + # CPU + "OpenVINOExecutionProvider", + "DnnlExecutionProvider", + "CPUExecutionProvider", + ] + return [provider for provider in preferred_providers if provider in available_providers] + + +class SaT: + """Segment Any Text. + + A Universal Approach for Robust, Efficient and Adaptable Sentence Segmentation + by Markus Frohmann, Igor Sterner, Benjamin Minixhofer, Ivan Vulić and Markus Schedl. + """ + + def __init__( + self, + model_name_or_model: str | Path, + from_pretrained_kwargs: dict[str, Any] | None = None, + ort_providers: list[str] | None = None, + ort_kwargs: dict[str, Any] | None = None, + style_or_domain: str | None = None, + language: str | None = None, + lora_path: str | None = None, # local + hub_prefix: str | None = "segment-any-text", + ): + if ort_providers is None: + ort_providers = _default_onnx_providers() + self.model_name_or_model = model_name_or_model + self.ort_providers = ort_providers + self.ort_kwargs = ort_kwargs + self.use_lora = False + self.tokenizer = XLMRobertaTokenizerFast.from_pretrained("facebookAI/xlm-roberta-base") + + if isinstance(model_name_or_model, str | Path): + model_name = str(model_name_or_model) + is_local = os.path.isdir(model_name) + + if not is_local and hub_prefix is not None: + model_name_to_fetch = f"{hub_prefix}/{model_name}" + else: + model_name_to_fetch = model_name + + if is_local: + model_path = Path(model_name) + onnx_path: Path | None = model_path / "model_optimized.onnx" + if onnx_path and not onnx_path.exists(): + onnx_path = None + else: + onnx_path = cached_hf_hub_download( + model_name_to_fetch, + "model_optimized.onnx", + **(from_pretrained_kwargs or {}), + ) + + if ort_providers is not None: + if onnx_path is None: + raise ValueError("Could not find an ONNX model in the model directory.") + + self.model = SaTORTWrapper( + SubwordXLMConfig.from_pretrained( + model_name_to_fetch, **(from_pretrained_kwargs or {}) + ), + ort.InferenceSession( + str(onnx_path), providers=ort_providers, **(ort_kwargs or {}) + ), + ) + if lora_path: + raise ValueError( + "If using ONNX with LoRA, execute `scripts/export_to_onnx_sat.py` with `use_lora=True`." + "Reference the chosen `output_dir` here for `model_name_or_model`. and set `lora_path=None`." + ) + # LoRA LOADING + if not lora_path: + if (style_or_domain and not language) or (language and not style_or_domain): + raise ValueError("Please specify both language and style_or_domain!") + if (style_or_domain and language) or lora_path: + raise ValueError( + "If using ONNX with LoRA, execute `scripts/export_to_onnx_sat.py` with `use_lora=True`." + "Reference the chosen `output_dir` here for `model_name_or_model`. and set `lora_path=None`." + ) + + def __getattr__(self, name): + assert hasattr(self, "model") + return getattr(self.model, name) + + def predict_proba( + self, + text_or_texts: str | list[str], + stride: int = 256, + block_size: int = 512, + batch_size: int = 32, + pad_last_batch: bool = False, + weighting: Literal["uniform", "hat"] = "uniform", + remove_whitespace_before_inference: bool = False, + outer_batch_size: int = 1000, + return_paragraph_probabilities: bool = False, + verbose: bool = False, + ): + if isinstance(text_or_texts, str): + return next( + self._predict_proba( + [text_or_texts], + stride=stride, + block_size=block_size, + batch_size=batch_size, + pad_last_batch=pad_last_batch, + weighting=weighting, + remove_whitespace_before_inference=remove_whitespace_before_inference, + outer_batch_size=outer_batch_size, + return_paragraph_probabilities=return_paragraph_probabilities, + verbose=verbose, + ) + ) + else: + return self._predict_proba( + text_or_texts, + stride=stride, + block_size=block_size, + batch_size=batch_size, + pad_last_batch=pad_last_batch, + weighting=weighting, + remove_whitespace_before_inference=remove_whitespace_before_inference, + outer_batch_size=outer_batch_size, + return_paragraph_probabilities=return_paragraph_probabilities, + verbose=verbose, + ) + + def _predict_proba( + self, + texts, + stride: int, + block_size: int, + batch_size: int, + pad_last_batch: bool, + weighting: Literal["uniform", "hat"], + remove_whitespace_before_inference: bool, + outer_batch_size: int, + return_paragraph_probabilities: bool, + verbose: bool, + ): + def newline_probability_fn(logits): + return sigmoid(logits[:, Constants.NEWLINE_INDEX]) + + n_outer_batches = math.ceil(len(texts) / outer_batch_size) + + for outer_batch_idx in range(n_outer_batches): + start, end = ( + outer_batch_idx * outer_batch_size, + min((outer_batch_idx + 1) * outer_batch_size, len(texts)), + ) + + outer_batch_texts = texts[start:end] + input_texts = [] + space_positions = [] + + for text in outer_batch_texts: + if remove_whitespace_before_inference: + text_space_positions: list[int] = [] + input_text = "" + + for c in text: + if c == " ": + text_space_positions.append(len(input_text) + len(text_space_positions)) + else: + input_text += c + + space_positions.append(text_space_positions) + else: + input_text = text + + input_texts.append(input_text) + + empty_string_indices = [i for i, text in enumerate(input_texts) if not text.strip()] + # remove empty strings from input_texts + input_texts = [text for text in input_texts if text.strip()] + if input_texts: + outer_batch_logits, _, tokenizer, tokenizer_output = extract( + input_texts, + self.model, + stride=stride, + max_block_size=block_size, + batch_size=batch_size, + pad_last_batch=pad_last_batch, + weighting=weighting, + verbose=verbose, + tokenizer=self.tokenizer, + ) + + # convert token probabilities to character probabilities for the entire array + outer_batch_logits = [ + token_to_char_probs( + input_texts[i], + tokenizer_output["input_ids"][i], + outer_batch_logits[i], + tokenizer, + tokenizer_output["offset_mapping"][i], + ) + for i in range(len(input_texts)) + ] + else: + outer_batch_logits = [] + + # add back empty strings + for i in empty_string_indices: + outer_batch_logits.insert(i, np.ones([1, 1]) * -np.inf) + + for i, (text, logits) in enumerate(zip(outer_batch_texts, outer_batch_logits)): + sentence_probs = newline_probs = newline_probability_fn(logits) + + if remove_whitespace_before_inference: + full_newline_probs, full_sentence_probs = ( + list(newline_probs), + list(sentence_probs), + ) + + for j in space_positions[i]: + full_newline_probs.insert(j, np.zeros_like(newline_probs[0])) + full_sentence_probs.insert(j, np.zeros_like(sentence_probs[0])) + + newline_probs = np.array(full_newline_probs) + sentence_probs = np.array(full_sentence_probs) + + if return_paragraph_probabilities: + yield sentence_probs, newline_probs + else: + yield sentence_probs + + def split( + self, + text_or_texts: str | list[str], + threshold: float | None = None, + stride: int = 64, + block_size: int = 512, + batch_size: int = 32, + pad_last_batch: bool = False, + weighting: Literal["uniform", "hat"] = "uniform", + remove_whitespace_before_inference: bool = False, + outer_batch_size: int = 1000, + paragraph_threshold: float = 0.5, + strip_whitespace: bool = False, + do_paragraph_segmentation: bool = False, + treat_newline_as_space: bool = True, + verbose: bool = False, + ): + if isinstance(text_or_texts, str): + return next( + self._split( + [text_or_texts], + threshold=threshold, + stride=stride, + block_size=block_size, + batch_size=batch_size, + pad_last_batch=pad_last_batch, + weighting=weighting, + remove_whitespace_before_inference=remove_whitespace_before_inference, + outer_batch_size=outer_batch_size, + paragraph_threshold=paragraph_threshold, + strip_whitespace=strip_whitespace, + do_paragraph_segmentation=do_paragraph_segmentation, + treat_newline_as_space=treat_newline_as_space, + verbose=verbose, + ) + ) + else: + return self._split( + text_or_texts, + threshold=threshold, + stride=stride, + block_size=block_size, + batch_size=batch_size, + pad_last_batch=pad_last_batch, + weighting=weighting, + remove_whitespace_before_inference=remove_whitespace_before_inference, + outer_batch_size=outer_batch_size, + paragraph_threshold=paragraph_threshold, + strip_whitespace=strip_whitespace, + do_paragraph_segmentation=do_paragraph_segmentation, + treat_newline_as_space=treat_newline_as_space, + verbose=verbose, + ) + + def _split( + self, + texts, + threshold: float | None, + stride: int, + block_size: int, + batch_size: int, + pad_last_batch: bool, + weighting: Literal["uniform", "hat"], + paragraph_threshold: float, + remove_whitespace_before_inference: bool, + outer_batch_size: int, + do_paragraph_segmentation: bool, + treat_newline_as_space: bool, + strip_whitespace: bool, + verbose: bool, + ): + def get_default_threshold(model_str: str) -> float: + if "sm" in model_str: + return 0.25 + if self.use_lora: + return 0.5 + if "no-limited-lookahead" in model_str and "sm" not in model_str: + return 0.01 + return 0.025 + + default_threshold = get_default_threshold(str(self.model_name_or_model)) + sentence_threshold = threshold if threshold is not None else default_threshold + + for text, probs in zip( + texts, + self.predict_proba( + texts, + stride=stride, + block_size=block_size, + batch_size=batch_size, + pad_last_batch=pad_last_batch, + weighting=weighting, + remove_whitespace_before_inference=remove_whitespace_before_inference, + outer_batch_size=outer_batch_size, + return_paragraph_probabilities=do_paragraph_segmentation, + verbose=verbose, + ), + ): + if do_paragraph_segmentation: + sentence_probs, newline_probs = probs + + offset = 0 + paragraphs = [] + + for paragraph in indices_to_sentences( + text, np.where(newline_probs > paragraph_threshold)[0] + ): + sentences = [] + + for sentence in indices_to_sentences( + paragraph, + np.where( + sentence_probs[offset : offset + len(paragraph)] > sentence_threshold, + )[0], + strip_whitespace=strip_whitespace, + ): + sentences.append(sentence) # noqa: PERF402 + + paragraphs.append(sentences) + offset += len(paragraph) + + yield paragraphs + else: + sentences = indices_to_sentences( + text, np.where(probs > sentence_threshold)[0], strip_whitespace=strip_whitespace + ) + if not treat_newline_as_space: + # within the model, newlines in the text were ignored - they were treated as spaces. + # this is the default behavior: additionally split on newlines as provided in the input + new_sentences = [] + for sentence in sentences: + new_sentences.extend(sentence.split("\n")) + sentences = new_sentences + yield sentences diff --git a/src/wtpsplit_lite/_tokenizer.py b/src/wtpsplit_lite/_tokenizer.py new file mode 100644 index 0000000..7d537df --- /dev/null +++ b/src/wtpsplit_lite/_tokenizer.py @@ -0,0 +1,75 @@ +"""Shim for transformers.AutoTokenizer.""" + +from functools import cache +from pathlib import Path +from typing import Any, TypedDict + +from huggingface_hub import hf_hub_download +from tokenizers import Tokenizer + + +class BatchEncoding(TypedDict): + input_ids: list[list[int]] + attention_mask: list[list[int]] + offset_mapping: list[list[tuple[int, int]]] + + +class XLMRobertaTokenizerFast: + """A fast transformers.XLMRobertaTokenizerFast interface for wtpsplit.""" + + def __init__( # noqa: PLR0913 + self, + tokenizer: Tokenizer, + bos_token: str = "", # noqa: S107 + eos_token: str = "", # noqa: S107 + sep_token: str = "", # noqa: S107 + cls_token: str = "", # noqa: S107 + unk_token: str = "", # noqa: S107 + pad_token: str = "", # noqa: S107 + mask_token: str = "", # noqa: S107 + ): + self.tokenizer = tokenizer + self.bos_token = bos_token + self.eos_token = eos_token + self.sep_token = sep_token + self.cls_token = cls_token + self.unk_token = unk_token + self.pad_token = pad_token + self.mask_token = mask_token + self.bos_token_id = self.tokenizer.token_to_id(bos_token) + self.eos_token_id = self.tokenizer.token_to_id(eos_token) + self.sep_token_id = self.tokenizer.token_to_id(sep_token) + self.cls_token_id = self.tokenizer.token_to_id(cls_token) + self.unk_token_id = self.tokenizer.token_to_id(unk_token) + self.pad_token_id = self.tokenizer.token_to_id(pad_token) + self.mask_token_id = self.tokenizer.token_to_id(mask_token) + + def __call__( + self, + texts: list[str], + is_pretokenized: bool = False, # noqa: FBT001, FBT002 + add_special_tokens: bool = True, # noqa: FBT001, FBT002 + return_offsets_mapping: bool = True, # noqa: FBT001, FBT002 + verbose: bool = False, # noqa: FBT001, FBT002 + **kwargs: Any, + ) -> BatchEncoding: + encoded_batch = self.tokenizer.encode_batch( + texts, is_pretokenized=is_pretokenized, add_special_tokens=add_special_tokens + ) + return BatchEncoding( + input_ids=[e.ids for e in encoded_batch], + attention_mask=[e.attention_mask for e in encoded_batch], + offset_mapping=[e.offsets for e in encoded_batch], + ) + + @classmethod + @cache + def from_pretrained(cls, pretrained_model_name_or_path: str) -> "XLMRobertaTokenizerFast": + is_local = Path.is_file(Path(pretrained_model_name_or_path)) + tokenizer_filepath = Path( + pretrained_model_name_or_path + if is_local + else hf_hub_download(pretrained_model_name_or_path, "tokenizer.json") + ) + tokenizer = Tokenizer.from_file(tokenizer_filepath.as_posix()) + return cls(tokenizer) diff --git a/src/wtpsplit_lite/_utils.py b/src/wtpsplit_lite/_utils.py new file mode 100644 index 0000000..7f2f383 --- /dev/null +++ b/src/wtpsplit_lite/_utils.py @@ -0,0 +1,153 @@ +"""Minimal subset of wtpsplit.utils.""" +# This file uses old-style type hints and ignores certain ruff rules to minimise changes w.r.t. the original implementation: +# ruff: noqa: N802, N806, PTH100, PTH110, PTH118, PTH120, PTH123, PTH123, FURB129, FBT002, W505, TRY003, EM102, PLW2901, D400 + +import json +import logging +import os +from collections import defaultdict +from functools import cached_property +from pathlib import Path + +import numpy as np + +logger = logging.getLogger(__name__) + +# same as in CANINE +PRIMES = [31, 43, 59, 61, 73, 97, 103, 113, 137, 149, 157, 173, 181, 193, 211, 223] + + +class ConstantsClass: + NEWLINE_INDEX = 0 + AUX_OFFSET = 1 + DEFAULT_PUNCTUATION_FILE = "punctuation.txt" + _PUNCTUATION_FILE = "punctuation.txt" + + @classmethod + def set_punctuation_file(cls, file_name): + cls._PUNCTUATION_FILE = file_name + + @cached_property + def ROOT_DIR(self): + return Path(os.path.abspath(os.path.join(os.path.dirname(__file__)))) + + @cached_property + def CACHE_DIR(self): + CACHE_DIR = self.ROOT_DIR / ".cache" + CACHE_DIR.mkdir(exist_ok=True) + return CACHE_DIR + + @cached_property + def LANGINFO(self): + return np.genfromtxt( + os.path.join(self.ROOT_DIR, "data", "language_info.csv"), + delimiter=",", + dtype=None, + encoding="utf-8", + names=True, + ) + + @cached_property + def PUNCTUATION_CHARS(self): + punctuation_path = os.path.join(self.ROOT_DIR, "data", self._PUNCTUATION_FILE) + if os.path.exists(punctuation_path): + return [x.strip() for x in open(punctuation_path).readlines()] + raise FileNotFoundError(f"The file {punctuation_path} does not exist.") + + @cached_property + def PUNCTUATION_MAP(self): + return json.load(open(os.path.join(self.ROOT_DIR, "data", "punctuation.json"))) + + @cached_property + def LANG_CODE_TO_INDEX(self): + return {lang: i for i, lang in enumerate(self.LANGINFO["index"])} + + @cached_property + def SEPARATORS(self): + return defaultdict( + lambda: " ", + {lang: ("" if row[4] else " ") for lang, *row in self.LANGINFO}, + ) + + +Constants = ConstantsClass() + + +def hash_encode(encoding, num_hashes=8, num_buckets=8192): + if num_hashes > len(PRIMES): + raise ValueError(f"`num_hashes` must be <= {len(PRIMES)}") + + hash_ids = np.zeros((len(encoding), num_hashes), dtype=np.int64) + for i in range(num_hashes): + shard_ids = (encoding + 1) * PRIMES[i] + hash_ids[:, i] = shard_ids % num_buckets + + return hash_ids + + +def indices_to_sentences(text, indices, strip_whitespace=False): + sentences = [] + + offset = 0 + idx = 0 + for idx in indices: + idx = idx + 1 + while idx < len(text) and text[idx].isspace(): + idx += 1 + + sentence = text[offset:idx] + if strip_whitespace: + # NB: I would have thought that this is slower than + # adjusting the start and end indices since there are + # two string copies, but it seems to be faster + # (at least on short strings). more reason to port to Rust? + sentence = sentence.strip() + + if len(sentence) > 0: + sentences.append(sentence) + + offset = idx + + if idx != len(text): + last_sentence = text[idx:] + if strip_whitespace: + last_sentence = last_sentence.strip() + + if len(last_sentence) > 0: + sentences.append(last_sentence) + + return sentences + + +def sigmoid(x): + return 1 / (1 + np.exp(-x.astype(np.float32))) # fp32 for better precision + + +def get_token_spans(tokenizer, offsets_mapping, tokens): + # Filter out special tokens and get their character start and end positions + valid_indices = np.array( + [ + idx + for idx, token in enumerate(tokens) + if token not in [tokenizer.cls_token, tokenizer.sep_token, tokenizer.pad_token] + and idx < len(offsets_mapping) + ] + ) + valid_offsets = np.array(offsets_mapping)[valid_indices] + return valid_indices, valid_offsets + + +def token_to_char_probs(text, tokens, token_logits, tokenizer, offsets_mapping): + """Map from token probabalities to character probabilities""" + char_probs = np.full( + (len(text), token_logits.shape[1]), -np.inf + ) # Initialize with very low numbers + + valid_indices, valid_offsets = get_token_spans(tokenizer, offsets_mapping, tokens) + + # Assign the token's probability to the last character of the token + for i in range(valid_offsets.shape[0]): + start, end = valid_offsets[i] + char_probs[end - 1] = token_logits[valid_indices[i]] + + return char_probs diff --git a/src/wtpsplit_lite/py.typed b/src/wtpsplit_lite/py.typed new file mode 100644 index 0000000..e69de29 diff --git a/tests/__init__.py b/tests/__init__.py new file mode 100644 index 0000000..dbd33d2 --- /dev/null +++ b/tests/__init__.py @@ -0,0 +1 @@ +"""wtpsplit-lite test suite.""" diff --git a/tests/specrel.md b/tests/specrel.md new file mode 100644 index 0000000..440d935 --- /dev/null +++ b/tests/specrel.md @@ -0,0 +1,1555 @@ +# ON THE ELECTRODYNAMICS OF MOVING BODIES + +## By A. EINSTEIN June 30, 1905 + +It is known that Maxwell’s electrodynamics—as usually understood at the +present time—when applied to moving bodies, leads to asymmetries which do +not appear to be inherent in the phenomena. Take, for example, the recipro- +cal electrodynamic action of a magnet and a conductor. The observable phe- +nomenon here depends only on the relative motion of the conductor and the +magnet, whereas the customary view draws a sharp distinction between the two +cases in which either the one or the other of these bodies is in motion. For if the +magnet is in motion and the conductor at rest, there arises in the neighbour- +hood of the magnet an electric field with a certain definite energy, producing +a current at the places where parts of the conductor are situated. But if the +magnet is stationary and the conductor in motion, no electric field arises in the +neighbourhood of the magnet. In the conductor, however, we find an electro- +motive force, to which in itself there is no corresponding energy, but which gives +rise—assuming equality of relative motion in the two cases discussed—to elec- +tric currents of the same path and intensity as those produced by the electric +forces in the former case. +Examples of this sort, together with the unsuccessful attempts to discover +any motion of the earth relatively to the “light medium,” suggest that the +phenomena of electrodynamics as well as of mechanics possess no properties +corresponding to the idea of absolute rest. They suggest rather that, as has +already been shown to the first order of small quantities, the same laws of +electrodynamics and optics will be valid for all frames of reference for which the +equations of mechanics hold good.1 We will raise this conjecture (the purport +of which will hereafter be called the “Principle of Relativity”) to the status +of a postulate, and also introduce another postulate, which is only apparently +irreconcilable with the former, namely, that light is always propagated in empty +space with a definite velocity c which is independent of the state of motion of the +emitting body. These two postulates suffice for the attainment of a simple and +consistent theory of the electrodynamics of moving bodies based on Maxwell’s +theory for stationary bodies. The introduction of a “luminiferous ether” will +prove to be superfluous inasmuch as the view here to be developed will not +require an “absolutely stationary space” provided with special properties, nor +1The preceding memoir by Lorentz was not at this time known to the author. + +assign a velocity-vector to a point of the empty space in which electromagnetic +processes take place. +The theory to be developed is based—like all electrodynamics—on the kine- +matics of the rigid body, since the assertions of any such theory have to do +with the relationships between rigid bodies (systems of co-ordinates), clocks, +and electromagnetic processes. Insufficient consideration of this circumstance +lies at the root of the difficulties which the electrodynamics of moving bodies +at present encounters. + +## I. KINEMATICAL PART § **1. Definition of Simultaneity** + +Let us take a system of co-ordinates in which the equations of Newtonian +mechanics hold good.2 In order to render our presentation more precise and +to distinguish this system of co-ordinates verbally from others which will be +introduced hereafter, we call it the “stationary system.” +If a material point is at rest relatively to this system of co-ordinates, its +position can be defined relatively thereto by the employment of rigid standards +of measurement and the methods of Euclidean geometry, and can be expressed +in Cartesian co-ordinates. +If we wish to describe the motion of a material point, we give the values of +its co-ordinates as functions of the time. Now we must bear carefully in mind +that a mathematical description of this kind has no physical meaning unless +we are quite clear as to what we understand by “time.” We have to take into +account that all our judgments in which time plays a part are always judgments +of simultaneous events. If, for instance, I say, “That train arrives here at 7 +o’clock,” I mean something like this: “The pointing of the small hand of my +watch to 7 and the arrival of the train are simultaneous events.”3 +It might appear possible to overcome all the difficulties attending the defini- +tion of “time” by substituting “the position of the small hand of my watch” for +“time.” And in fact such a definition is satisfactory when we are concerned with +defining a time exclusively for the place where the watch is located; but it is no +longer satisfactory when we have to connect in time series of events occurring +at different places, or—what comes to the same thing—to evaluate the times of +events occurring at places remote from the watch. +We might, of course, content ourselves with time values determined by an +observer stationed together with the watch at the origin of the co-ordinates, +and co-ordinating the corresponding positions of the hands with light signals, +given out by every event to be timed, and reaching him through empty space. +But this co-ordination has the disadvantage that it is not independent of the +standpoint of the observer with the watch or clock, as we know from experience. +2i.e. to the first approximation. +3We shall not here discuss the inexactitude which lurks in the concept of simultaneity of +two events at approximately the same place, which can only be removed by an abstraction. + +We arrive at a much more practical determination along the following line of +thought. +If at the point A of space there is a clock, an observer at A can determine the +time values of events in the immediate proximity of A by finding the positions +of the hands which are simultaneous with these events. If there is at the point B +of space another clock in all respects resembling the one at A, it is possible for +an observer at B to determine the time values of events in the immediate neigh- +bourhood of B. But it is not possible without further assumption to compare, +in respect of time, an event at A with an event at B. We have so far defined +only an “A time” and a “B time.” We have not defined a common “time” for +A and B, for the latter cannot be defined at all unless we establish by definition +that the “time” required by light to travel from A to B equals the “time” it +requires to travel from B to A. Let a ray of light start at the “A time” tA from +A towards B, let it at the “B time” tB be reflected at B in the direction of A, +and arrive again at A at the “A time” t +0 +A. +In accordance with definition the two clocks synchronize if + +tB − tA = t +0 +A − tB. + +We assume that this definition of synchronism is free from contradictions, +and possible for any number of points; and that the following relations are +universally valid:— + +1. If the clock at B synchronizes with the clock at A, the clock at A syn- + chronizes with the clock at B. +1. If the clock at A synchronizes with the clock at B and also with the clock + at C, the clocks at B and C also synchronize with each other. + Thus with the help of certain imaginary physical experiments we have set- + tled what is to be understood by synchronous stationary clocks located at dif- + ferent places, and have evidently obtained a definition of “simultaneous,” or + “synchronous,” and of “time.” The “time” of an event is that which is given + simultaneously with the event by a stationary clock located at the place of + the event, this clock being synchronous, and indeed synchronous for all time + determinations, with a specified stationary clock. + In agreement with experience we further assume the quantity + +2AB +t0 +A − tA += c, + +to be a universal constant—the velocity of light in empty space. +It is essential to have time defined by means of stationary clocks in the +stationary system, and the time now defined being appropriate to the stationary +system we call it “the time of the stationary system.” + +## § **2. On the Relativity of Lengths and Times** + +The following reflexions are based on the principle of relativity and on the +principle of the constancy of the velocity of light. These two principles we +define as follows:— + +1. The laws by which the states of physical systems undergo change are not + affected, whether these changes of state be referred to the one or the other of + two systems of co-ordinates in uniform translatory motion. +1. Any ray of light moves in the “stationary” system of co-ordinates with + the determined velocity c, whether the ray be emitted by a stationary or by a + moving body. Hence + +velocity = light path +time interval +where time interval is to be taken in the sense of the definition in § 1. +Let there be given a stationary rigid rod; and let its length be l as measured +by a measuring-rod which is also stationary. We now imagine the axis of the +rod lying along the axis of x of the stationary system of co-ordinates, and that +a uniform motion of parallel translation with velocity v along the axis of x in +the direction of increasing x is then imparted to the rod. We now inquire as to +the length of the moving rod, and imagine its length to be ascertained by the +following two operations:— +(a) The observer moves together with the given measuring-rod and the rod +to be measured, and measures the length of the rod directly by superposing the +measuring-rod, in just the same way as if all three were at rest. +(b) By means of stationary clocks set up in the stationary system and syn- +chronizing in accordance with § 1, the observer ascertains at what points of the +stationary system the two ends of the rod to be measured are located at a definite +time. The distance between these two points, measured by the measuring-rod +already employed, which in this case is at rest, is also a length which may be +designated “the length of the rod.” +In accordance with the principle of relativity the length to be discovered by +the operation (a)—we will call it “the length of the rod in the moving system”— +must be equal to the length l of the stationary rod. +The length to be discovered by the operation (b) we will call “the length +of the (moving) rod in the stationary system.” This we shall determine on the +basis of our two principles, and we shall find that it differs from l. +Current kinematics tacitly assumes that the lengths determined by these two +operations are precisely equal, or in other words, that a moving rigid body at +the epoch t may in geometrical respects be perfectly represented by the same +body at rest in a definite position. +We imagine further that at the two ends A and B of the rod, clocks are +placed which synchronize with the clocks of the stationary system, that is to say +that their indications correspond at any instant to the “time of the stationary +system” at the places where they happen to be. These clocks are therefore +“synchronous in the stationary system.” +We imagine further that with each clock there is a moving observer, and +that these observers apply to both clocks the criterion established in § 1 for the +synchronization of two clocks. Let a ray of light depart from A at the time4 tA, +4“Time” here denotes “time of the stationary system” and also “position of hands of the +moving clock situated at the place under discussion.” + +let it be reflected at B at the time tB, and reach A again at the time t +0 +A. Taking +into consideration the principle of the constancy of the velocity of light we find +that +tB − tA = rAB +c − v +and t +0 +A − tB = rAB +c + v +where rAB denotes the length of the moving rod—measured in the stationary +system. Observers moving with the moving rod would thus find that the two +clocks were not synchronous, while observers in the stationary system would +declare the clocks to be synchronous. +So we see that we cannot attach any absolute signification to the concept of +simultaneity, but that two events which, viewed from a system of co-ordinates, +are simultaneous, can no longer be looked upon as simultaneous events when +envisaged from a system which is in motion relatively to that system. + +## § **3. Theory of the Transformation of Co-ordinates and** Times from a Stationary System to another System in Uniform Motion of Translation Relatively to the Former + +Let us in “stationary” space take two systems of co-ordinates, i.e. two sys- +tems, each of three rigid material lines, perpendicular to one another, and issuing +from a point. Let the axes of X of the two systems coincide, and their axes of +Y and Z respectively be parallel. Let each system be provided with a rigid +measuring-rod and a number of clocks, and let the two measuring-rods, and +likewise all the clocks of the two systems, be in all respects alike. +Now to the origin of one of the two systems (k) let a constant velocity v +be imparted in the direction of the increasing x of the other stationary system +(K), and let this velocity be communicated to the axes of the co-ordinates, the +relevant measuring-rod, and the clocks. To any time of the stationary system K +there then will correspond a definite position of the axes of the moving system, +and from reasons of symmetry we are entitled to assume that the motion of k +may be such that the axes of the moving system are at the time t (this “t” always +denotes a time of the stationary system) parallel to the axes of the stationary +system. +We now imagine space to be measured from the stationary system K by +means of the stationary measuring-rod, and also from the moving system k +by means of the measuring-rod moving with it; and that we thus obtain the +co-ordinates x, y, z, and ξ, η, ζ respectively. Further, let the time t of the +stationary system be determined for all points thereof at which there are clocks +by means of light signals in the manner indicated in § 1; similarly let the time +τ of the moving system be determined for all points of the moving system at +which there are clocks at rest relatively to that system by applying the method, +given in § 1, of light signals between the points at which the latter clocks are +located. +To any system of values x, y, z, t, which completely defines the place and +time of an event in the stationary system, there belongs a system of values ξ, + +η, ζ τ, determining that event relatively to the system k, and our task is now +to find the system of equations connecting these quantities. +In the first place it is clear that the equations must be linear on account of +the properties of homogeneity which we attribute to space and time. +If we place x0 = x − vt, it is clear that a point at rest in the system k must +have a system of values x0 +, y, z, independent of time. We first define τ as a +function of x0 +, y, z, and t. To do this we have to express in equations that τ is +nothing else than the summary of the data of clocks at rest in system k, which +have been synchronized according to the rule given in § 1. +From the origin of system k let a ray be emitted at the time τ0 along the +X-axis to x0 +, and at the time τ1 be reflected thence to the origin of the co- +ordinates, arriving there at the time τ2; we then must have 1 +2 (τ0 + τ2) = τ1, or, +by inserting the arguments of the function τ and applying the principle of the +constancy of the velocity of light in the stationary system:— + +τ(0, 0, 0, t) + τ + +0, 0, 0, t + +x0 +c − v +\+ +x0 +c + v += τ + +x0 +, 0, 0, t + +x0 +c − v + +. + +Hence, if x0 be chosen infinitesimally small, + +c − v +\+ +1 +c + v +∂τ +∂t = ∂τ +∂x0 + +c − v +∂τ + +∂t , + +or + +∂τ + +∂x0 + +v + +c2 − v2 +∂τ + +∂t = 0. + +It is to be noted that instead of the origin of the co-ordinates we might have +chosen any other point for the point of origin of the ray, and the equation just +obtained is therefore valid for all values of x0 +, y, z. +An analogous consideration—applied to the axes of Y and Z—it being borne +in mind that light is always propagated along these axes, when viewed from the +stationary system, with the velocity √ +c2 − v2 gives us +∂τ + +∂y = 0, +∂τ + +∂z = 0. + +Since τ is a linear function, it follows from these equations that + +τ = a + +t − v +c2 − v2 x0 + +where a is a function φ(v) at present unknown, and where for brevity it is +assumed that at the origin of k, τ = 0, when t = 0. +With the help of this result we easily determine the quantities ξ, η, ζ by +expressing in equations that light (as required by the principle of the constancy +of the velocity of light, in combination with the principle of relativity) is also + +propagated with velocity c when measured in the moving system. For a ray of +light emitted at the time τ = 0 in the direction of the increasing ξ + +ξ = cτ or ξ = ac +t − v +c2 − v2 x0 + +. + +But the ray moves relatively to the initial point of k, when measured in the +stationary system, with the velocity c − v, so that +x0 +c − v = t. +If we insert this value of t in the equation for ξ, we obtain + +ξ = a +c2 +c2 − v2 x0 +. +In an analogous manner we find, by considering rays moving along the two other +axes, that + +η = cτ = ac +t − v +c2 − v2 x0 + +when +y + +√ +c2 − v2 = t, x0 = 0. +Thus + +η = a +c +√c2 − v2 y and ζ = a +c + +√c2 − v2 +z. + +Substituting for x0 its value, we obtain + +τ = φ(v)β(t − vx/c2), +ξ = φ(v)β(t − vt), +η = φ(v)y, +ζ = φ(v)z, + +where + +β = 1 +p1 − v2/c2 , + +and φ is an as yet unknown function of v. If no assumption whatever be made +as to the initial position of the moving system and as to the zero point of τ, an +additive constant is to be placed on the right side of each of these equations. + +We now have to prove that any ray of light, measured in the moving system, +is propagated with the velocity c, if, as we have assumed, this is the case in the +stationary system; for we have not as yet furnished the proof that the principle +of the constancy of the velocity of light is compatible with the principle of +relativity. +At the time t = τ = 0, when the origin of the co-ordinates is common to the +two systems, let a spherical wave be emitted therefrom, and be propagated with +the velocity c in system K. If (x, y, z) be a point just attained by this wave, +then + +x2 + y2 + z2 = c2t +2\. + +Transforming this equation with the aid of our equations of transformation +we obtain after a simple calculation + +ξ2 + η2 + ζ2 = c2τ 2. + +The wave under consideration is therefore no less a spherical wave with +velocity of propagation c when viewed in the moving system. This shows that +our two fundamental principles are compatible.5 +In the equations of transformation which have been developed there enters +an unknown function φ of v, which we will now determine. +For this purpose we introduce a third system of co-ordinates K0 +, which rela- +tively to the system k is in a state of parallel translatory motion parallel to the +axis of X, such that the origin of co-ordinates of system k moves with velocity +−v on the axis of X. At the time t = 0 let all three origins coincide, and when +t = x = y = z = 0 let the time t0 of the system K0 be zero. We call the co- +ordinates, measured in the system K0 +, x0 +, y0 +, z0 +, and by a twofold application of +our equations of transformation we obtain + +t + +0 = φ(−v)β(−v)(τ + vξ/c2) = φ(v)φ(−v)t, +x0 = φ(−v)β(−v)(ξ + vτ) = φ(v)φ(−v)x, +y0 = φ(−v)η = φ(v)φ(−v)y, +z0 = φ(−v)ζ = φ(v)φ(−v)z. + +Since the relations between x0 +, y0 +, z0 and x, y, z do not contain the time t, +the systems K and K0 are at rest with respect to one another, and it is clear that +the transformation from K to K0 must be the identical transformation. Thus + +φ(v)φ(−v)=1. + +We now inquire into the signification of φ(v). We give our attention to that +part of the axis of Y of system k which lies between ξ = 0, η = 0, ζ = 0 and +ξ = 0, η = l, ζ = 0. This part of the axis of Y is a rod moving perpendicularly +5The equations of the Lorentz transformation may be more simply deduced directly from +the condition that in virtue of those equations the relation x2 + y2 + z2 = c2t2 shall have as +its consequence the second relation ξ2 + η2 + ζ2 = c2τ 2. + +to its axis with velocity v relatively to system K. Its ends possess in K the +co-ordinates + +x1 = vt, y1 = l +φ(v) +, z1 = 0 + +and +x2 = vt, y2 = 0, z2 = 0. +The length of the rod measured in K is therefore l/φ(v); and this gives us the +meaning of the function φ(v). From reasons of symmetry it is now evident that +the length of a given rod moving perpendicularly to its axis, measured in the +stationary system, must depend only on the velocity and not on the direction +and the sense of the motion. The length of the moving rod measured in the +stationary system does not change, therefore, if v and −v are interchanged. +Hence follows that l/φ(v) = l/φ(−v), or + +φ(v) = φ(−v). + +It follows from this relation and the one previously found that φ(v) = 1, so that +the transformation equations which have been found become + +τ = β(t − vx/c2), +ξ = β(x − vt), +η = y, +ζ = z, + +where + +β = 1/ +p1 − v2/c2. + +## § **4. Physical Meaning of the Equations Obtained in** Respect to Moving Rigid Bodies and Moving Clocks + +We envisage a rigid sphere6 of radius R, at rest relatively to the moving system +k, and with its centre at the origin of co-ordinates of k. The equation of the +surface of this sphere moving relatively to the system K with velocity v is + +ξ2 + η2 + ζ2 = R2. + +The equation of this surface expressed in x, y, z at the time t = 0 is + +x2 + +( +p1 − v2/c2)2 + y2 + z2 = R2. +6That is, a body possessing spherical form when examined at rest. + +A rigid body which, measured in a state of rest, has the form of a sphere, +therefore has in a state of motion—viewed from the stationary system—the +form of an ellipsoid of revolution with the axes + +R +p1 − v2/c2, R, R. + +Thus, whereas the Y and Z dimensions of the sphere (and therefore of every +rigid body of no matter what form) do not appear modified by the motion, the +X dimension appears shortened in the ratio 1 : p1 − v2/c2, i.e. the greater the +value of v, the greater the shortening. For v = c all moving objects—viewed from +the “stationary” system—shrivel up into plane figures.† For velocities greater +than that of light our deliberations become meaningless; we shall, however, find +in what follows, that the velocity of light in our theory plays the part, physically, +of an infinitely great velocity. +It is clear that the same results hold good of bodies at rest in the “stationary” +system, viewed from a system in uniform motion. +Further, we imagine one of the clocks which are qualified to mark the time +t when at rest relatively to the stationary system, and the time τ when at rest +relatively to the moving system, to be located at the origin of the co-ordinates +of k, and so adjusted that it marks the time τ. What is the rate of this clock, +when viewed from the stationary system? +Between the quantities x, t, and τ, which refer to the position of the clock, +we have, evidently, x = vt and + +τ = 1 +p1 − v2/c2 (t − vx/c2). +Therefore, + +τ = t +p1 − v2/c2 = t − (1 − p1 − v2/c2)t + +whence it follows that the time marked by the clock (viewed in the stationary +system) is slow by 1 − p1 − v2/c2 seconds per second, or—neglecting magni- +tudes of fourth and higher order—by 1 +2 v2/c2. +From this there ensues the following peculiar consequence. If at the points A +and B of K there are stationary clocks which, viewed in the stationary system, +are synchronous; and if the clock at A is moved with the velocity v along the +line AB to B, then on its arrival at B the two clocks no longer synchronize, +but the clock moved from A to B lags behind the other which has remained at +B by 1 +2 tv2/c2 (up to magnitudes of fourth and higher order), t being the time +occupied in the journey from A to B. +It is at once apparent that this result still holds good if the clock moves from +A to B in any polygonal line, and also when the points A and B coincide. +If we assume that the result proved for a polygonal line is also valid for a +continuously curved line, we arrive at this result: If one of two synchronous +†Editor’s note: In the original 1923 English edition, this phrase was erroneously translated as +“plain figures”. I have used the correct “plane figures” in this edition. + +clocks at A is moved in a closed curve with constant velocity until it returns to +A, the journey lasting t seconds, then by the clock which has remained at rest +the travelled clock on its arrival at A will be 1 +2 tv2/c2 second slow. Thence we +conclude that a balance-clock7 at the equator must go more slowly, by a very +small amount, than a precisely similar clock situated at one of the poles under +otherwise identical conditions. + +## § **5. The Composition of Velocities** + +In the system k moving along the axis of X of the system K with velocity v, +let a point move in accordance with the equations + +ξ = wξτ,η = wητ, ζ = 0, + +where wξ and wη denote constants. +Required: the motion of the point relatively to the system K. If with the help +of the equations of transformation developed in § 3 we introduce the quantities +x, y, z, t into the equations of motion of the point, we obtain + +x = wξ + v +1 + vwξ/c2 t, + +y = +p1 − v2/c2 +1 + vwξ/c2 wηt, +z = 0. + +Thus the law of the parallelogram of velocities is valid according to our +theory only to a first approximation. We set + +V 2 = +dx +dt 2 +\+ +dy +dt 2 +, +w2 = w2 +ξ + w2 +η, +a = tan−1 wy/wx, + +a is then to be looked upon as the angle between the velocities v and w. After +a simple calculation we obtain + +V = +p(v2 + w2 + 2vw cos a) − (vw sin a/c2)2 +1 + vw cos a/c2 . + +7Not a pendulum-clock, which is physically a system to which the Earth belongs. This +case had to be excluded. + +It is worthy of remark that v and w enter into the expression for the resultant +velocity in a symmetrical manner. If w also has the direction of the axis of X, +we get + +V = v + w +1 + vw/c2 . + +It follows from this equation that from a composition of two velocities which +are less than c, there always results a velocity less than c. For if we set v = +c − κ, w = c − λ, κ and λ being positive and less than c, then + +V = c +2c − κ − λ +2c − κ − λ + κλ/c \< c. +It follows, further, that the velocity of light c cannot be altered by compo- +sition with a velocity less than that of light. For this case we obtain + +V = c + w +1 + w/c = c. + +We might also have obtained the formula for V, for the case when v and w have +the same direction, by compounding two transformations in accordance with § +3\. If in addition to the systems K and k figuring in § 3 we introduce still another +system of co-ordinates k0 moving parallel to k, its initial point moving on the +axis of X with the velocity w, we obtain equations between the quantities x, +y, z, t and the corresponding quantities of k0 +, which differ from the equations +found in § 3 only in that the place of “v” is taken by the quantity +v + w +1 + vw/c2 ; + +from which we see that such parallel transformations—necessarily—form a group. +We have now deduced the requisite laws of the theory of kinematics cor- +responding to our two principles, and we proceed to show their application to +electrodynamics. + +## II. ELECTRODYNAMICAL PART § **6. Transformation of the Maxwell-Hertz Equations for** Empty Space. On the Nature of the Electromotive Forces Occurring in a Magnetic Field During Motion + +Let the Maxwell-Hertz equations for empty space hold good for the stationary +system K, so that we have + +1 +c + +∂X +∂t = ∂N +∂y − ∂M +∂z , 1 +c +∂L +∂t = ∂Y +∂z − ∂Z +∂y , + +1 +c + +∂Y +∂t = ∂L +∂z − ∂N +∂x , 1 +c + +∂M +∂t = ∂Z +∂x − ∂X +∂z , + +1 +c + +∂Z +∂t = ∂M +∂x − ∂L +∂y , 1 +c + +∂N +∂t = ∂X +∂y − ∂Y +∂x , + +where (X, Y, Z) denotes the vector of the electric force, and (L, M, N) that of +the magnetic force. +If we apply to these equations the transformation developed in § 3, by re- +ferring the electromagnetic processes to the system of co-ordinates there intro- +duced, moving with the velocity v, we obtain the equations + +c +∂X +∂τ = ∂ +∂η n +β + +N − v +cY +o − ∂ +∂ζ n +β + +M + v +cZ +o , + +c +∂ +∂τ n +β + +Y − v +cN +o = ∂L +∂ξ − ∂ +∂ζ n +β + +N − v +cY +o , + +c +∂ +∂τ n +β + +Z − v +cM +o = ∂ +∂ξ n +β + +M − v +cZ +o −∂L +∂η , +c +∂L +∂τ = ∂ +∂ζ n +β + +Y − v +cN +o − ∂ +∂η n +β + +Z − v +cM +o , +c +∂ +∂τ n +β + +M − v +cZ +o = ∂ +∂ξ n +β + +Z − v +cM +o −∂X +∂ζ , +c +∂ +∂τ n +β + +N − v +cY +o = ∂X +∂η − ∂ +∂ξ n +β + +Y − v +cN +o , + +where + +β = 1/ +p1 − v2/c2. + +Now the principle of relativity requires that if the Maxwell-Hertz equations +for empty space hold good in system K, they also hold good in system k; that +is to say that the vectors of the electric and the magnetic force—(X0 +, Y0 +, Z0 +) +and (L0 +, M0 +, N0 +)—of the moving system k, which are defined by their pondero- +motive effects on electric or magnetic masses respectively, satisfy the following +equations:— + +1 +c + +∂X0 +∂τ = ∂N0 +∂η − ∂M0 +∂ζ , 1 +c + +∂L0 +∂τ = ∂Y0 +∂ζ − ∂Z0 +∂η , + +1 +c + +∂Y0 +∂τ = ∂L0 +∂ζ − ∂N0 +∂ξ , 1 +c + +∂M0 +∂τ = ∂Z0 +∂ξ − ∂X0 +∂ζ , + +1 +c + +∂Z0 +∂τ = ∂M0 +∂ξ − ∂L0 +∂η , 1 +c + +∂N0 +∂τ = ∂X0 +∂η − ∂Y0 +∂ξ . + +Evidently the two systems of equations found for system k must express +exactly the same thing, since both systems of equations are equivalent to the +Maxwell-Hertz equations for system K. Since, further, the equations of the two +systems agree, with the exception of the symbols for the vectors, it follows that +the functions occurring in the systems of equations at corresponding places must +agree, with the exception of a factor ψ(v), which is common for all functions +of the one system of equations, and is independent of ξ, η, ζ and τ but depends +upon v. Thus we have the relations + +X0 = ψ(v)X, L0 = ψ(v)L, +Y0 = ψ(v)β + +Y − v +cN + +, M0 = ψ(v)β + +M − v +cZ + +, +Z0 = ψ(v)β + +Z − v +cM +, N0 = ψ(v)β + +N − v +c Y + +. +If we now form the reciprocal of this system of equations, firstly by solving +the equations just obtained, and secondly by applying the equations to the +inverse transformation (from k to K), which is characterized by the velocity −v, +it follows, when we consider that the two systems of equations thus obtained +must be identical, that ψ(v)ψ(−v) = 1. Further, from reasons of symmetry8 +and therefore +ψ(v)=1, + +and our equations assume the form + +X0 = X, L0 = L, +Y0 = β + +Y − v +cN + +, M0 = β + +M − v +c Z + +, +Z0 = β + +Z − v +cM +, N0 = β + +N − v +c Y + +. +As to the interpretation of these equations we make the following remarks: Let +a point charge of electricity have the magnitude “one” when measured in the +stationary system K, i.e. let it when at rest in the stationary system exert a +force of one dyne upon an equal quantity of electricity at a distance of one cm. +By the principle of relativity this electric charge is also of the magnitude “one” +when measured in the moving system. If this quantity of electricity is at rest +relatively to the stationary system, then by definition the vector (X, Y, Z) is +equal to the force acting upon it. If the quantity of electricity is at rest relatively +to the moving system (at least at the relevant instant), then the force acting +upon it, measured in the moving system, is equal to the vector (X0 +, Y0 +, Z0 +). +Consequently the first three equations above allow themselves to be clothed in +words in the two following ways:— + +1. If a unit electric point charge is in motion in an electromagnetic field, + there acts upon it, in addition to the electric force, an “electromotive force” + which, if we neglect the terms multiplied by the second and higher powers of + v/c, is equal to the vector-product of the velocity of the charge and the magnetic + force, divided by the velocity of light. (Old manner of expression.) +1. If a unit electric point charge is in motion in an electromagnetic field, + the force acting upon it is equal to the electric force which is present at the + locality of the charge, and which we ascertain by transformation of the field to + a system of co-ordinates at rest relatively to the electrical charge. (New manner + of expression.) + The analogy holds with “magnetomotive forces.” We see that electromotive + force plays in the developed theory merely the part of an auxiliary concept, + 8If, for example, X=Y=Z=L=M=0, and N 6= 0, then from reasons of symmetry it is clear + that when v changes sign without changing its numerical value, Y0 must also change sign + without changing its numerical value. + +which owes its introduction to the circumstance that electric and magnetic forces +do not exist independently of the state of motion of the system of co-ordinates. +Furthermore it is clear that the asymmetry mentioned in the introduction +as arising when we consider the currents produced by the relative motion of a +magnet and a conductor, now disappears. Moreover, questions as to the “seat” +of electrodynamic electromotive forces (unipolar machines) now have no point. + +## § **7. Theory of Doppler’s Principle and of Aberration** + +In the system K, very far from the origin of co-ordinates, let there be a +source of electrodynamic waves, which in a part of space containing the origin +of co-ordinates may be represented to a sufficient degree of approximation by +the equations + +X=X0 sin Φ, L=L0 sin Φ, +Y=Y0 sin Φ, M=M0 sin Φ, +Z=Z0 sin Φ, N=N0 sin Φ, + +where + +Φ = ω + +t − 1 +c + +(lx + my + nz) + +. + +Here (X0, Y0, Z0) and (L0, M0, N0) are the vectors defining the amplitude of +the wave-train, and l, m, n the direction-cosines of the wave-normals. We wish +to know the constitution of these waves, when they are examined by an observer +at rest in the moving system k. +Applying the equations of transformation found in § 6 for electric and mag- +netic forces, and those found in § 3 for the co-ordinates and the time, we obtain +directly + +X0 = X0 sin Φ0 +, L0 = L0 sin Φ0 +, +Y0 = β(Y0 − vN0/c) sin Φ0 +, M0 = β(M0 + vZ0/c) sin Φ0 +, +Z0 = β(Z0 + vM0/c) sin Φ0 +, N0 = β(N0 − vY0/c) sin Φ0 +, +Φ0 = ω0 +τ − 1 +c (l +0 +ξ + m0 +η + n0 +ζ) + +where + +ω0 = ωβ(1 − lv/c), + +l + +0 = l − v/c +1 − lv/c , +m0 = m +β(1 − lv/c) +, + +n0 = n +β(1 − lv/c) +. + +From the equation for ω0 it follows that if an observer is moving with velocity +v relatively to an infinitely distant source of light of frequency ν, in such a way +that the connecting line “source-observer” makes the angle φ with the velocity +of the observer referred to a system of co-ordinates which is at rest relatively +to the source of light, the frequency ν0 of the light perceived by the observer is +given by the equation + +ν0 = ν 1 − cos φ · v/c +p1 − v2/c2 . +This is Doppler’s principle for any velocities whatever. When φ = 0 the equation +assumes the perspicuous form + +ν0 = ν +s +1 − v/c +1 + v/c . + +We see that, in contrast with the customary view, when v = −c, ν0 = ∞. +If we call the angle between the wave-normal (direction of the ray) in the +moving system and the connecting line “source-observer” φ0 +, the equation for l +0 +assumes the form + +cos φ0 = cos φ − v/c +1 − cos φ · v/c . +This equation expresses the law of aberration in its most general form. If φ = 1 +2π, the equation becomes simply + +cos φ0 = −v/c. + +We still have to find the amplitude of the waves, as it appears in the moving +system. If we call the amplitude of the electric or magnetic force A or A0 +respectively, accordingly as it is measured in the stationary system or in the +moving system, we obtain + +A02 = A2 (1 − cos φ · v/c)2 +1 − v2/c2 +which equation, if φ = 0, simplifies into + +A02 = A2 1 − v/c +1 + v/c . + +It follows from these results that to an observer approaching a source of light +with the velocity c, this source of light must appear of infinite intensity. + +## § **8. Transformation of the Energy of Light Rays. Theory** of the Pressure of Radiation Exerted on Perfect Reflectors + +Since A2/8π equals the energy of light per unit of volume, we have to regard +A02 +/8π, by the principle of relativity, as the energy of light in the moving system. + +Thus A02 +/A2 would be the ratio of the “measured in motion” to the “measured +at rest” energy of a given light complex, if the volume of a light complex were +the same, whether measured in K or in k. But this is not the case. If l, m, n are +the direction-cosines of the wave-normals of the light in the stationary system, +no energy passes through the surface elements of a spherical surface moving +with the velocity of light:— + +(x − lct) +2 + (y − mct) +2 + (z − nct) +2 = R2. + +We may therefore say that this surface permanently encloses the same light +complex. We inquire as to the quantity of energy enclosed by this surface, +viewed in system k, that is, as to the energy of the light complex relatively to +the system k. +The spherical surface—viewed in the moving system—is an ellipsoidal sur- +face, the equation for which, at the time τ = 0, is + +(βξ − lβξv/c) +2 + (η − mβξv/c) +2 + (ζ − nβξv/c) +2 = R2. + +If S is the volume of the sphere, and S0 that of this ellipsoid, then by a simple +calculation + +S0 +S = +p1 − v2/c2 +1 − cos φ · v/c . + +Thus, if we call the light energy enclosed by this surface E when it is measured in +the stationary system, and E0 when measured in the moving system, we obtain + +E0 +E = A02 +S0 +A2S = 1 − cos φ · v/c +p1 − v2/c2 , + +and this formula, when φ = 0, simplifies into + +E0 +E = +s +1 − v/c +1 + v/c . + +It is remarkable that the energy and the frequency of a light complex vary +with the state of motion of the observer in accordance with the same law. +Now let the co-ordinate plane ξ = 0 be a perfectly reflecting surface, at +which the plane waves considered in § 7 are reflected. We seek for the pressure +of light exerted on the reflecting surface, and for the direction, frequency, and +intensity of the light after reflexion. +Let the incidental light be defined by the quantities A, cos φ, ν (referred to +system K). Viewed from k the corresponding quantities are + +A0 = A1 − cos φ · v/c +p1 − v2/c2 , + +cos φ0 = cos φ − v/c +1 − cos φ · v/c , +ν0 = ν 1 − cos φ · v/c +p1 − v2/c2 . + +For the reflected light, referring the process to system k, we obtain + +A00 = A0 +cos φ00 = − cosφ0 +ν00 = ν0 + +Finally, by transforming back to the stationary system K, we obtain for the +reflected light + +A000 = A00 1 + cosφ00 · v/c +p1 − v2/c2 += A1 − 2 cosφ · v/c + v2/c2 +1 − v2/c2 , + +cos φ000 = cos φ00 + v/c +1 + cos φ00 · v/c = −(1 + v2/c2) cos φ − 2v/c +1 − 2 cosφ · v/c + v2/c2 , +ν000 = ν00 1 + cos φ00 · v/c +p1 − v2/c2 = ν 1 − 2 cosφ · v/c + v2/c2 +1 − v2/c2 . + +The energy (measured in the stationary system) which is incident upon unit +area of the mirror in unit time is evidently A2(c cos φ−v)/8π. The energy leaving +the unit of surface of the mirror in the unit of time is A0002(−c cos φ000 + v)/8π. +The difference of these two expressions is, by the principle of energy, the work +done by the pressure of light in the unit of time. If we set down this work as +equal to the product Pv, where P is the pressure of light, we obtain + +P=2 · +A2 +8π +(cos φ − v/c)2 +1 − v2/c2 . +In agreement with experiment and with other theories, we obtain to a first +approximation + +P=2 · +A2 +8π cos2 φ. +All problems in the optics of moving bodies can be solved by the method +here employed. What is essential is, that the electric and magnetic force of the +light which is influenced by a moving body, be transformed into a system of +co-ordinates at rest relatively to the body. By this means all problems in the +optics of moving bodies will be reduced to a series of problems in the optics of +stationary bodies. + +## § **9. Transformation of the Maxwell-Hertz Equations** when Convection-Currents are Taken into Account + +We start from the equations + +1 +c + +n∂X +∂t + uxρ +o += ∂N +∂y − ∂M +∂z , 1 +c +∂L +∂t = ∂Y +∂z − ∂Z +∂y , + +1 +c + +n∂Y +∂t + uyρ +o += ∂L +∂z − ∂N +∂x , 1 +c + +∂M +∂t = ∂Z +∂x − ∂X +∂z , + +1 +c + +n∂Z +∂t + uzρ +o += ∂M +∂x − ∂L +∂y , 1 +c + +∂N +∂t = ∂X +∂y − ∂Y +∂x , + +where + +ρ = ∂X +∂x + +∂Y +∂y + +∂Z +∂z + +denotes 4π times the density of electricity, and (ux, uy, uz) the velocity-vector of +the charge. If we imagine the electric charges to be invariably coupled to small +rigid bodies (ions, electrons), these equations are the electromagnetic basis of +the Lorentzian electrodynamics and optics of moving bodies. +Let these equations be valid in the system K, and transform them, with the +assistance of the equations of transformation given in §§ 3 and 6, to the system +k. We then obtain the equations + +1 +c + +n∂X0 +∂τ + uξρ0 +o += ∂N0 +∂η − ∂M0 +∂ζ , 1 +c + +∂L0 +∂τ = ∂Y0 +∂ζ − ∂Z0 +∂η , + +1 +c + +n∂Y0 +∂τ + uηρ0 +o += ∂L0 +∂ζ − ∂N0 +∂ξ , 1 +c + +∂M0 +∂τ = ∂Z0 +∂ξ − ∂X0 +∂ζ , + +1 +c + +n∂Z0 +∂τ + uζρ0 +o += ∂M0 +∂ξ − ∂L0 +∂η , 1 +c + +∂N0 +∂τ = ∂X0 +∂η − ∂Y0 +∂ξ , + +where + +uξ = ux − v +1 − uxv/c2 +uη = uy +β(1 − uxv/c2) +uζ = uz +β(1 − uxv/c2) +, + +and + +ρ0 = ∂X0 +∂ξ + +∂Y0 +∂η + +∂Z0 +∂ζ + += β(1 − uxv/c2)ρ. + +Since—as follows from the theorem of addition of velocities (§ 5)—the vector +(uξ, uη, uζ) is nothing else than the velocity of the electric charge, measured in +the system k, we have the proof that, on the basis of our kinematical principles, +the electrodynamic foundation of Lorentz’s theory of the electrodynamics of +moving bodies is in agreement with the principle of relativity. +In addition I may briefly remark that the following important law may easily +be deduced from the developed equations: If an electrically charged body is in +motion anywhere in space without altering its charge when regarded from a +system of co-ordinates moving with the body, its charge also remains—when +regarded from the “stationary” system K—constant. + +## § **10. Dynamics of the Slowly Accelerated Electron** + +Let there be in motion in an electromagnetic field an electrically charged particle +(in the sequel called an “electron”), for the law of motion of which we assume +as follows:— +If the electron is at rest at a given epoch, the motion of the electron ensues +in the next instant of time according to the equations + +m + +d2x + +dt2 = X + +m + +d2y + +dt2 = Y + +m + +d2z + +dt2 = Z + +where x, y, z denote the co-ordinates of the electron, and m the mass of the +electron, as long as its motion is slow. +Now, secondly, let the velocity of the electron at a given epoch be v. We +seek the law of motion of the electron in the immediately ensuing instants of +time. +Without affecting the general character of our considerations, we may and +will assume that the electron, at the moment when we give it our attention, is at +the origin of the co-ordinates, and moves with the velocity v along the axis of X +of the system K. It is then clear that at the given moment (t = 0) the electron +is at rest relatively to a system of co-ordinates which is in parallel motion with +velocity v along the axis of X. +From the above assumption, in combination with the principle of relativity, it +is clear that in the immediately ensuing time (for small values of t) the electron, +viewed from the system k, moves in accordance with the equations + +m + +d2ξ + +dτ 2 = X0 +, + +m + +d2η + +dτ 2 = Y0 +, + +m + +d2ζ + +dτ 2 = Z0 +, + +in which the symbols ξ, η, ζ, X0 +, Y0 +, Z0 refer to the system k. If, further, we +decide that when t = x = y = z = 0 then τ = ξ = η = ζ = 0, the transformation +equations of §§ 3 and 6 hold good, so that we have +ξ = β(x − vt), η = y, ζ = z, τ = β(t − vx/c2), +X0 = X, Y0 = β(Y − vN/c), Z0 = β(Z + vM/c). +With the help of these equations we transform the above equations of motion +from system k to system K, and obtain +d2x + +dt2 = +mβ3 X +d2y + +dt2 = +mβ +Y − v +cN +d2z + +dt2 = +mβ +Z − v +cM + +··· (A) +Taking the ordinary point of view we now inquire as to the “longitudinal” +and the “transverse” mass of the moving electron. We write the equations (A) +in the form +mβ3 d2x +dt2 = X = X0 +, +mβ2 d2y +dt2 = β +Y − v +cN += Y0 +, +mβ2 d2z +dt2 = β +Z − v +cM = Z0 +, +and remark firstly that X0 +, Y0 +, Z0 are the components of the ponderomotive +force acting upon the electron, and are so indeed as viewed in a system moving +at the moment with the electron, with the same velocity as the electron. (This +force might be measured, for example, by a spring balance at rest in the last- +mentioned system.) Now if we call this force simply “the force acting upon the +electron,”9 and maintain the equation—mass × acceleration = force—and if we +also decide that the accelerations are to be measured in the stationary system +K, we derive from the above equations + +Longitudinal mass = m +( +p1 − v2/c2)3 . +Transverse mass = m +1 − v2/c2 . +With a different definition of force and acceleration we should naturally +obtain other values for the masses. This shows us that in comparing different +theories of the motion of the electron we must proceed very cautiously. +We remark that these results as to the mass are also valid for ponderable +material points, because a ponderable material point can be made into an elec- +tron (in our sense of the word) by the addition of an electric charge, no matter +how small. +9The definition of force here given is not advantageous, as was first shown by M. Planck. +It is more to the point to define force in such a way that the laws of momentum and energy +assume the simplest form. + +We will now determine the kinetic energy of the electron. If an electron +moves from rest at the origin of co-ordinates of the system K along the axis +of X under the action of an electrostatic force X, it is clear that the energy +withdrawn from the electrostatic field has the value R X dx. As the electron is +to be slowly accelerated, and consequently may not give off any energy in the +form of radiation, the energy withdrawn from the electrostatic field must be put +down as equal to the energy of motion W of the electron. Bearing in mind that +during the whole process of motion which we are considering, the first of the +equations (A) applies, we therefore obtain + +W = Z +X dx = m +Z v +β3v dv + += mc2 +( +1 +p1 − v2/c2 − 1 +) +. + +Thus, when v = c, W becomes infinite. Velocities greater than that of light +have—as in our previous results—no possibility of existence. +This expression for the kinetic energy must also, by virtue of the argument +stated above, apply to ponderable masses as well. +We will now enumerate the properties of the motion of the electron which +result from the system of equations (A), and are accessible to experiment. + +1. From the second equation of the system (A) it follows that an electric + force Y and a magnetic force N have an equally strong deflective action on an + electron moving with the velocity v, when Y = Nv/c. Thus we see that it is + possible by our theory to determine the velocity of the electron from the ratio + of the magnetic power of deflexion Am to the electric power of deflexion Ae, for + any velocity, by applying the law + +Am + +Ae + += v +c + +. + +This relationship may be tested experimentally, since the velocity of the +electron can be directly measured, e.g. by means of rapidly oscillating electric +and magnetic fields. +2\. From the deduction for the kinetic energy of the electron it follows that +between the potential difference, P, traversed and the acquired velocity v of the +electron there must be the relationship + +P = Z +Xdx = m +c2 +( +1 +p1 − v2/c2 − 1 +) +. + +3. We calculate the radius of curvature of the path of the electron when a + magnetic force N is present (as the only deflective force), acting perpendicularly + to the velocity of the electron. From the second of the equations (A) we obtain + +−d2y +dt2 = v2 +R = +m +v + +c + +N +r +1 − v2 +c2 +or + +R = mc2 +· v/c +p1 − v2/c2 · 1 +N. + +These three relationships are a complete expression for the laws according +to which, by the theory here advanced, the electron must move. +In conclusion I wish to say that in working at the problem here dealt with +I have had the loyal assistance of my friend and colleague M. Besso, and that I +am indebted to him for several valuable suggestions. + +About this Document + +This edition of Einstein’s On the Electrodynamics of Moving Bodies is +based on the English translation of his original 1905 German-language paper +(published as Zur Elektrodynamik bewegter K¨orper, in Annalen Der Physik. +**17**:891, 1905) which appeared in the book The Principle of Relativity, pub- +lished in 1923 by Methuen and Company, Ltd. of London. Most of the +papers in that collection are English translations from the German Das Rela- +tivatsprinzip, 4th ed., published by in 1922 by Tuebner. All of these sources +are now in the public domain; this document, derived from them, remains in +the public domain and may be reproduced in any manner or medium without +permission, restriction, attribution, or compensation. +Numbered footnotes are as they appeared in the 1923 edition; editor’s +notes are marked by a dagger (†) and appear in sans serif type. The 1923 +English translation modified the notation used in Einstein’s 1905 paper to +conform to that in use by the 1920’s; for example, c denotes the speed of +light, as opposed the V used by Einstein in 1905. +This edition was prepared by John Walker. The current version of this +document is available in a variety of formats from the editor’s Web site: + +http://www.fourmilab.ch/ \ No newline at end of file diff --git a/tests/test_sat.py b/tests/test_sat.py new file mode 100644 index 0000000..1053f24 --- /dev/null +++ b/tests/test_sat.py @@ -0,0 +1,105 @@ +"""Test Segment Any Text.""" + +import warnings +from pathlib import Path + +import pytest +from wtpsplit import SaT as SaTOriginal + +from wtpsplit_lite import SaT as SaTLite + + +@pytest.mark.parametrize( + "text_or_texts", + [ + pytest.param("", id="empty"), + pytest.param("This is a test This is another test.", id="string"), + pytest.param(["This is a test This is another test."], id="list_string"), + pytest.param(["This is a test This is another test."] * 32, id="list"), + pytest.param((Path(__file__).parent / "specrel.md").read_text(), id="specrel"), + ], +) +@pytest.mark.parametrize( + "sat_lite_sat_original", + [ + pytest.param( + ( + SaTLite("sat-1l"), + SaTOriginal("sat-1l", ort_providers=["CPUExecutionProvider"]), + ), + id="sat-1l", + ), + pytest.param( + ( + SaTLite("sat-1l-sm"), + SaTOriginal("sat-1l-sm", ort_providers=["CPUExecutionProvider"]), + ), + id="sat-1l-sm", + ), + pytest.param( + ( + SaTLite("sat-3l"), + SaTOriginal("sat-3l", ort_providers=["CPUExecutionProvider"]), + ), + id="sat-3l", + ), + pytest.param( + ( + SaTLite("sat-3l-sm"), + SaTOriginal("sat-3l-sm", ort_providers=["CPUExecutionProvider"]), + ), + id="sat-3l-sm", + ), + ], +) +def test_sat( + sat_lite_sat_original: tuple[SaTLite, SaTOriginal], text_or_texts: str | list[str] +) -> None: + """Test SaT by comparing the output with that of the original implementation.""" + sat_lite, sat_original = sat_lite_sat_original + with warnings.catch_warnings(): # Ignore unnecessary treat_newline_as_space warning. + warnings.filterwarnings("ignore", "treat_newline_as_space", category=UserWarning) + output_lite = sat_lite.split(text_or_texts) + output_original = sat_original.split(text_or_texts, treat_newline_as_space=True) + if isinstance(text_or_texts, str): + assert len(output_lite) == len(output_original) + assert all( + sent_lite == sent_original + for sent_lite, sent_original in zip(output_lite, output_original, strict=True) + ) + reconstructed_text_lite = "".join(output_lite) + reconstructed_text_original = "".join(output_original) + assert text_or_texts == reconstructed_text_lite == reconstructed_text_original + else: + with warnings.catch_warnings(): # Ignore unnecessary treat_newline_as_space warning. + warnings.filterwarnings("ignore", "treat_newline_as_space", category=UserWarning) + output_lite = list(output_lite) + output_original = list(output_original) + assert len(output_lite) == len(output_original) + assert all( + len(sents_lite) == len(sents_original) + for sents_lite, sents_original in zip(output_lite, output_original, strict=True) + ) + reconstructed_texts_lite = ["".join(sents) for sents in output_lite] + reconstructed_texts_original = ["".join(sents) for sents in output_original] + assert text_or_texts == reconstructed_texts_lite == reconstructed_texts_original + + +@pytest.mark.parametrize( + "text", + [pytest.param((Path(__file__).parent / "specrel.md").read_text(), id="specrel")], +) +@pytest.mark.parametrize( + "sat", + [ + pytest.param( + SaTLite("sat-3l-sm"), + id="sat-3l-sm", + ) + ], +) +def test_weighting(sat: SaTLite, text: str) -> None: + """Test hat weighting SaT for low-stride splitting.""" + output_lite = sat.split(text, stride=128, block_size=256, weighting="hat") + reconstructed_text_lite = "".join(output_lite) + assert text == reconstructed_text_lite