From 1e68c72fa835e90e542c72c230329ee48438abf6 Mon Sep 17 00:00:00 2001 From: Deploy from CI <> Date: Mon, 23 Dec 2024 12:29:33 +0000 Subject: [PATCH] Deploy 2e978667b235ef221bb3ba0a9483bf31ecca3938 to gh-pages --- .gitattributes | 2 + .github/runner/Dockerfile | 55 + .github/workflows/build-cache.yml | 51 + .github/workflows/dead-links.yml | 11 + .github/workflows/deploy-book.yml | 45 + .github/workflows/nightly-tests.yml | 88 + .github/workflows/nightly_tests_list.txt | 60 + .github/workflows/pr-tests.yml | 310 + .gitignore | 16 + 404.html | 197 + CNAME | 1 + FontAwesome/css/font-awesome.css | 4 + FontAwesome/fonts/FontAwesome.ttf | Bin 0 -> 165548 bytes FontAwesome/fonts/fontawesome-webfont.eot | Bin 0 -> 165742 bytes FontAwesome/fonts/fontawesome-webfont.svg | 2671 + FontAwesome/fonts/fontawesome-webfont.ttf | Bin 0 -> 165548 bytes FontAwesome/fonts/fontawesome-webfont.woff | Bin 0 -> 98024 bytes FontAwesome/fonts/fontawesome-webfont.woff2 | Bin 0 -> 77160 bytes architecture/compiler.html | 229 + architecture/index.html | 217 + architecture/linker.html | 221 + asm/declarations.html | 250 + asm/expressions.html | 216 + asm/functions.html | 291 + asm/index.html | 208 + asm/instructions.html | 355 + asm/links.html | 265 + asm/machines.html | 308 + asm/modules.html | 275 + asm/operations.html | 250 + asm/registers.html | 256 + ayu-highlight.css | 78 + backends/estark.html | 209 + backends/halo2.html | 208 + backends/index.html | 208 + backends/plonky3.html | 208 + book.js | 690 + cli/.gitignore | 1 + cli/index.html | 508 + clipboard.min.js | 7 + css/chrome.css | 640 + css/general.css | 242 + css/print.css | 50 + css/variables.css | 309 + dev/bench/data.js | 41644 ++++++++++++++++ dev/bench/index.html | 281 + elasticlunr.min.js | 10 + examples.html | 214 + favicon.png | Bin 0 -> 19316 bytes favicon.svg | 14 + fonts/OPEN-SANS-LICENSE.txt | 202 + fonts/SOURCE-CODE-PRO-LICENSE.txt | 93 + fonts/fonts.css | 100 + fonts/open-sans-v17-all-charsets-300.woff2 | Bin 0 -> 44352 bytes ...open-sans-v17-all-charsets-300italic.woff2 | Bin 0 -> 40656 bytes fonts/open-sans-v17-all-charsets-600.woff2 | Bin 0 -> 44936 bytes ...open-sans-v17-all-charsets-600italic.woff2 | Bin 0 -> 42120 bytes fonts/open-sans-v17-all-charsets-700.woff2 | Bin 0 -> 44988 bytes ...open-sans-v17-all-charsets-700italic.woff2 | Bin 0 -> 40800 bytes fonts/open-sans-v17-all-charsets-800.woff2 | Bin 0 -> 44536 bytes ...open-sans-v17-all-charsets-800italic.woff2 | Bin 0 -> 40812 bytes fonts/open-sans-v17-all-charsets-italic.woff2 | Bin 0 -> 41076 bytes .../open-sans-v17-all-charsets-regular.woff2 | Bin 0 -> 43236 bytes ...source-code-pro-v11-all-charsets-500.woff2 | Bin 0 -> 59140 bytes frontends/evm.html | 208 + frontends/index.html | 208 + frontends/riscv.html | 244 + frontends/valida.html | 208 + frontends/zk-continuations.html | 320 + hello_world.html | 244 + hello_world_cli.html | 278 + hello_world_ethereum.html | 235 + hello_world_ethereum_aggregation.html | 266 + highlight.css | 83 + highlight.js | 54 + index.html | 211 + installation_sdk.html | 260 + installation_vm.html | 214 + mark.min.js | 7 + pil/builtins.html | 352 + pil/declarations.html | 252 + pil/expressions.html | 368 + pil/fixed_columns.html | 233 + pil/index.html | 208 + pil/patterns.html | 271 + pil/types.html | 444 + powdr_crate.html | 296 + powdr_logo_pink.png | Bin 0 -> 19316 bytes powdr_sdk_intro.html | 223 + powdr_vm_intro.html | 211 + powdr_wires.png | Bin 0 -> 20312 bytes print.html | 2532 + publics.html | 267 + quick_start_vm.html | 266 + searcher.js | 483 + searchindex.js | 1 + searchindex.json | 1 + toc.html | 32 + toc.js | 70 + tomorrow-night.css | 104 + 100 files changed, 62422 insertions(+) create mode 100644 .gitattributes create mode 100644 .github/runner/Dockerfile create mode 100644 .github/workflows/build-cache.yml create mode 100644 .github/workflows/dead-links.yml create mode 100644 .github/workflows/deploy-book.yml create mode 100644 .github/workflows/nightly-tests.yml create mode 100644 .github/workflows/nightly_tests_list.txt create mode 100644 .github/workflows/pr-tests.yml create mode 100644 .gitignore create mode 100644 404.html create mode 100644 CNAME create mode 100644 FontAwesome/css/font-awesome.css create mode 100644 FontAwesome/fonts/FontAwesome.ttf create mode 100644 FontAwesome/fonts/fontawesome-webfont.eot create mode 100644 FontAwesome/fonts/fontawesome-webfont.svg create mode 100644 FontAwesome/fonts/fontawesome-webfont.ttf create mode 100644 FontAwesome/fonts/fontawesome-webfont.woff create mode 100644 FontAwesome/fonts/fontawesome-webfont.woff2 create mode 100644 architecture/compiler.html create mode 100644 architecture/index.html create mode 100644 architecture/linker.html create mode 100644 asm/declarations.html create mode 100644 asm/expressions.html create mode 100644 asm/functions.html create mode 100644 asm/index.html create mode 100644 asm/instructions.html create mode 100644 asm/links.html create mode 100644 asm/machines.html create mode 100644 asm/modules.html create mode 100644 asm/operations.html create mode 100644 asm/registers.html create mode 100644 ayu-highlight.css create mode 100644 backends/estark.html create mode 100644 backends/halo2.html create mode 100644 backends/index.html create mode 100644 backends/plonky3.html create mode 100644 book.js create mode 100644 cli/.gitignore create mode 100644 cli/index.html create mode 100644 clipboard.min.js create mode 100644 css/chrome.css create mode 100644 css/general.css create mode 100644 css/print.css create mode 100644 css/variables.css create mode 100644 dev/bench/data.js create mode 100644 dev/bench/index.html create mode 100644 elasticlunr.min.js create mode 100644 examples.html create mode 100644 favicon.png create mode 100644 favicon.svg create mode 100644 fonts/OPEN-SANS-LICENSE.txt create mode 100644 fonts/SOURCE-CODE-PRO-LICENSE.txt create mode 100644 fonts/fonts.css create mode 100644 fonts/open-sans-v17-all-charsets-300.woff2 create mode 100644 fonts/open-sans-v17-all-charsets-300italic.woff2 create mode 100644 fonts/open-sans-v17-all-charsets-600.woff2 create mode 100644 fonts/open-sans-v17-all-charsets-600italic.woff2 create mode 100644 fonts/open-sans-v17-all-charsets-700.woff2 create mode 100644 fonts/open-sans-v17-all-charsets-700italic.woff2 create mode 100644 fonts/open-sans-v17-all-charsets-800.woff2 create mode 100644 fonts/open-sans-v17-all-charsets-800italic.woff2 create mode 100644 fonts/open-sans-v17-all-charsets-italic.woff2 create mode 100644 fonts/open-sans-v17-all-charsets-regular.woff2 create mode 100644 fonts/source-code-pro-v11-all-charsets-500.woff2 create mode 100644 frontends/evm.html create mode 100644 frontends/index.html create mode 100644 frontends/riscv.html create mode 100644 frontends/valida.html create mode 100644 frontends/zk-continuations.html create mode 100644 hello_world.html create mode 100644 hello_world_cli.html create mode 100644 hello_world_ethereum.html create mode 100644 hello_world_ethereum_aggregation.html create mode 100644 highlight.css create mode 100644 highlight.js create mode 100644 index.html create mode 100644 installation_sdk.html create mode 100644 installation_vm.html create mode 100644 mark.min.js create mode 100644 pil/builtins.html create mode 100644 pil/declarations.html create mode 100644 pil/expressions.html create mode 100644 pil/fixed_columns.html create mode 100644 pil/index.html create mode 100644 pil/patterns.html create mode 100644 pil/types.html create mode 100644 powdr_crate.html create mode 100644 powdr_logo_pink.png create mode 100644 powdr_sdk_intro.html create mode 100644 powdr_vm_intro.html create mode 100644 powdr_wires.png create mode 100644 print.html create mode 100644 publics.html create mode 100644 quick_start_vm.html create mode 100644 searcher.js create mode 100644 searchindex.js create mode 100644 searchindex.json create mode 100644 toc.html create mode 100644 toc.js create mode 100644 tomorrow-night.css diff --git a/.gitattributes b/.gitattributes new file mode 100644 index 0000000000..535897dae6 --- /dev/null +++ b/.gitattributes @@ -0,0 +1,2 @@ +**/*.asm linguist-language=Rust +**/*.pil linguist-language=Rust diff --git a/.github/runner/Dockerfile b/.github/runner/Dockerfile new file mode 100644 index 0000000000..396581880a --- /dev/null +++ b/.github/runner/Dockerfile @@ -0,0 +1,55 @@ +# +# Runner for powdr github actions. +# We don't automate runner token generation yet. This image should be used as follows: +# - generate a runner token in github (valid for ~1h) +# - build the docker image passing the token as argument: +# docker buildx build -t github-runner --build-arg TOKEN=THE_GENERATED_TOKEN . +# - this will create an image already registered it with github +# - the container will start the runner (./run.sh) by default. + +# this base image was taken from the Dockerfile in the github runner repo +FROM mcr.microsoft.com/dotnet/runtime-deps:6.0-jammy AS build + +ARG RUNNER_VERSION=2.319.1 + +RUN apt-get update && apt install -y curl \ + sudo \ + libicu70 \ + liblttng-ust1 \ + libkrb5-3 \ + zlib1g \ + libssl3 \ + git \ + build-essential \ + clang-15 \ + nlohmann-json3-dev \ + libpqxx-dev \ + nasm \ + libgmp-dev \ + uuid-dev \ + zstd + +RUN adduser --disabled-password --uid 1001 runner \ + && usermod -aG sudo runner \ + && echo "%sudo ALL=(ALL:ALL) NOPASSWD:ALL" > /etc/sudoers \ + && echo "Defaults env_keep += \"DEBIAN_FRONTEND\"" >> /etc/sudoers + +USER runner + +WORKDIR /home/runner + +RUN curl -f -L -o runner.tar.gz https://github.com/actions/runner/releases/download/v${RUNNER_VERSION}/actions-runner-linux-x64-${RUNNER_VERSION}.tar.gz \ + && tar xzf ./runner.tar.gz \ + && rm runner.tar.gz + +RUN curl --proto '=https' --tlsv1.2 -sSf https://sh.rustup.rs | sh -s - -y + +ARG TOKEN +RUN test -n "$TOKEN" || (echo "must set github runner TOKEN: --build-arg TOKEN=XXX" && false) + +RUN ./config.sh --name arch-server --work work --replace --url https://github.com/powdr-labs/powdr --token ${TOKEN} + +# anything that should be in the PATH of the runner must be setup here +ENV PATH="/home/runner/.cargo/bin:$PATH" + +CMD ["./run.sh"] diff --git a/.github/workflows/build-cache.yml b/.github/workflows/build-cache.yml new file mode 100644 index 0000000000..e73491d428 --- /dev/null +++ b/.github/workflows/build-cache.yml @@ -0,0 +1,51 @@ +name: Generate rust cache for PR builds +on: + workflow_dispatch: + schedule: + - cron: '0 2 * * *' # run at 2 AM UTC + +env: + CARGO_TERM_COLOR: always + +jobs: + build: + runs-on: warp-ubuntu-2404-x64-4x + + steps: + - uses: actions/checkout@v4 + with: + submodules: recursive + + ##### The block below is shared between cache build and PR build workflows ##### + - name: Install EStarkPolygon prover dependencies + run: sudo apt-get update && sudo apt-get install -y nlohmann-json3-dev libpqxx-dev nasm libgrpc++-dev libprotobuf-dev protobuf-compiler-grpc uuid-dev build-essential cmake pkg-config git + - name: Install Rust toolchain nightly-2024-09-21 (with clippy and rustfmt) + run: rustup toolchain install nightly-2024-09-21-x86_64-unknown-linux-gnu && rustup component add clippy --toolchain nightly-2024-09-21-x86_64-unknown-linux-gnu && rustup component add rustfmt --toolchain nightly-2024-09-21-x86_64-unknown-linux-gnu + - name: Install Rust toolchain 1.81 (stable) + run: rustup toolchain install 1.81-x86_64-unknown-linux-gnu + - name: Set cargo to perform shallow clones + run: echo "CARGO_NET_GIT_FETCH_WITH_CLI=true" >> $GITHUB_ENV + - name: Cargo check with Rust 1.81 (default features) + run: cargo +1.81-x86_64-unknown-linux-gnu check --all-targets + - name: Lint no default features + run: cargo clippy --all --all-targets --no-default-features --profile pr-tests --verbose -- -D warnings + - name: Lint all features + run: cargo clippy --all --all-targets --all-features --profile pr-tests --verbose -- -D warnings + - name: Format + run: cargo fmt --all --check --verbose + - name: Build + run: cargo build --all-targets --all --all-features --profile pr-tests --verbose + ############################################################################### + + - name: Save date of cache build + run: date -R -u > target/cache-build-date.txt + - name: ⚡ Save rust cache + uses: WarpBuilds/cache/save@v1 + with: + path: | + ~/.cargo/registry/index/ + ~/.cargo/registry/cache/ + ~/.cargo/git/db/ + target/ + Cargo.lock + key: ${{ runner.os }}-cargo-pr-tests diff --git a/.github/workflows/dead-links.yml b/.github/workflows/dead-links.yml new file mode 100644 index 0000000000..13d248eeda --- /dev/null +++ b/.github/workflows/dead-links.yml @@ -0,0 +1,11 @@ +name: Check markdown links +on: [pull_request, merge_group] +jobs: + markdown-link-check: + runs-on: ubuntu-24.04 + steps: + - uses: actions/checkout@v4 + - uses: gaurav-nelson/github-action-markdown-link-check@v1 + with: + use-quiet-mode: 'no' + use-verbose-mode: 'yes' diff --git a/.github/workflows/deploy-book.yml b/.github/workflows/deploy-book.yml new file mode 100644 index 0000000000..29ed1a93f5 --- /dev/null +++ b/.github/workflows/deploy-book.yml @@ -0,0 +1,45 @@ +# adapted from https://github.com/rust-lang/mdBook/wiki/Automated-Deployment%3A-GitHub-Actions#GitHub-Pages-Deploy + +name: Deploy book +on: + push: + branches: + - main + +jobs: + deploy: + runs-on: ubuntu-24.04 + permissions: + contents: write # To push a branch + pull-requests: write # To create a PR from that branch + steps: + - uses: actions/checkout@v4 + with: + fetch-depth: 0 + - name: Install latest mdbook + run: | + tag=$(curl 'https://api.github.com/repos/rust-lang/mdbook/releases/latest' | jq -r '.tag_name') + url="https://github.com/rust-lang/mdbook/releases/download/${tag}/mdbook-${tag}-x86_64-unknown-linux-gnu.tar.gz" + mkdir mdbook + curl -sSL $url | tar -xz --directory=./mdbook + echo `pwd`/mdbook >> $GITHUB_PATH + - name: Deploy GitHub Pages + run: | + # generate cli docs and inject them into the book + cargo run --package powdr-cli -- --markdown-help > book/src/cli/README.md + # build the book + cd book + mdbook build + git worktree add gh-pages + git config user.name "Deploy from CI" + git config user.email "" + cd gh-pages + # Delete the ref to avoid keeping history. + git update-ref -d refs/heads/gh-pages + rm -rf * + mv ../book/* . + # restore the benchmark directory + git restore --source=origin/gh-pages -- dev + git add . + git commit -m "Deploy $GITHUB_SHA to gh-pages" + git push --force --set-upstream origin gh-pages diff --git a/.github/workflows/nightly-tests.yml b/.github/workflows/nightly-tests.yml new file mode 100644 index 0000000000..55b6ef19d6 --- /dev/null +++ b/.github/workflows/nightly-tests.yml @@ -0,0 +1,88 @@ +name: Nightly tests +on: + workflow_dispatch: + schedule: + - cron: '0 2 * * *' # run at 2 AM UTC + +env: + CARGO_TERM_COLOR: always + IS_NIGHTLY_TEST: true + POWDR_GENERATE_PROOFS: "true" + +jobs: + check_if_needs_running: + runs-on: ubuntu-24.04 + outputs: + status: ${{ steps.count.outputs.status }} + + steps: + - uses: actions/checkout@v4 + - name: Count recent commits + id: count + run: echo "status=$(git log --oneline --since '24 hours ago' | wc -l)" >> $GITHUB_OUTPUT + + udeps: + runs-on: ubuntu-22.04 + needs: check_if_needs_running + if: needs.check_if_needs_running.outputs.status > 0 + + steps: + - name: Checkout repository + uses: actions/checkout@v4 + + - name: Install nightly toolchain + uses: actions-rs/toolchain@v1 + with: + toolchain: nightly + override: true + + - name: Run cargo-udeps + uses: aig787/cargo-udeps-action@v1 + with: + version: 'latest' + args: '--all-targets' + + test_release: + runs-on: ubuntu-24.04 + needs: check_if_needs_running + if: needs.check_if_needs_running.outputs.status > 0 + + steps: + - uses: actions/checkout@v4 + with: + submodules: recursive + - name: ⚡ Cache rust + uses: actions/cache@v4 + with: + path: | + ~/.cargo/registry + ~/.cargo/git + target + key: ${{ runner.os }}-cargo-release-${{ hashFiles('**/Cargo.toml') }} + - name: ⚡ Cache nodejs + uses: actions/cache@v4 + with: + path: | + ~/pilcom/node_modules + key: ${{ runner.os }}-pilcom-node-modules + - name: Install Rust toolchain 1.81 + run: rustup toolchain install 1.81-x86_64-unknown-linux-gnu + - name: Install nightly + run: rustup toolchain install nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install std source + run: rustup component add rust-src --toolchain nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install riscv target + run: rustup target add riscv32imac-unknown-none-elf --toolchain nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install test dependencies + run: sudo apt-get update && sudo apt-get install -y binutils-riscv64-unknown-elf lld + - name: Install EStarkPolygon prover dependencies + run: sudo apt-get update && sudo apt-get install -y nlohmann-json3-dev libpqxx-dev nasm libgrpc++-dev libprotobuf-dev protobuf-compiler-grpc uuid-dev build-essential cmake pkg-config git + - name: Install pilcom + run: git clone https://github.com/0xPolygonHermez/pilcom.git && cd pilcom && npm install + - name: Check without Halo2 + run: cargo check --all --no-default-features + - name: Build + run: cargo build --all --release --all-features + - name: Run tests + # Number threads is set to 1 because the runner does not have enough memeory for more. + run: PILCOM=$(pwd)/pilcom/ cargo test --all --release --verbose --all-features -- --include-ignored --nocapture --test-threads=1 diff --git a/.github/workflows/nightly_tests_list.txt b/.github/workflows/nightly_tests_list.txt new file mode 100644 index 0000000000..69f6cf192e --- /dev/null +++ b/.github/workflows/nightly_tests_list.txt @@ -0,0 +1,60 @@ +test(=instruction_tests::add) | +test(=instruction_tests::addi) | +test(=instruction_tests::amoadd_w) | +test(=instruction_tests::and) | +test(=instruction_tests::andi) | +test(=instruction_tests::beq) | +test(=instruction_tests::bge) | +test(=instruction_tests::blt) | +test(=instruction_tests::bltu) | +test(=instruction_tests::bne) | +test(=instruction_tests::divu) | +test(=instruction_tests::j) | +test(=instruction_tests::jal) | +test(=instruction_tests::lb) | +test(=instruction_tests::lbu) | +test(=instruction_tests::lh) | +test(=instruction_tests::lhu) | +test(=instruction_tests::lrsc) | +test(=instruction_tests::lw) | +test(=instruction_tests::mul) | +test(=instruction_tests::mulhsu) | +test(=instruction_tests::mulhu) | +test(=instruction_tests::or) | +test(=instruction_tests::ori) | +test(=instruction_tests::remu) | +test(=instruction_tests::rvc) | +test(=instruction_tests::sb) | +test(=instruction_tests::sh) | +test(=instruction_tests::simple) | +test(=instruction_tests::sll) | +test(=instruction_tests::slli) | +test(=instruction_tests::slt) | +test(=instruction_tests::slti) | +test(=instruction_tests::sltiu) | +test(=instruction_tests::sltu) | +test(=instruction_tests::srai) | +test(=instruction_tests::srl) | +test(=instruction_tests::sub) | +test(=instruction_tests::sw) | +test(=instruction_tests::xor) | +test(=instruction_tests::xori) | +test(=byte_access) | +test(=dispatch_table_pie_relocation) | +test(=dispatch_table_static_relocation) | +test(=function_pointer) | +test(=many_chunks_memory) | +test(=memfuncs) | +test(=password) | +test(=print) | +test(=runtime_affine_256) | +test(=runtime_ec_double) | +test(=runtime_modmul_256) | +test(=runtime_poseidon_gl) | +test(=sum) | +test(=trivial) | +test(=two_sums_serde) | +test(=zero_with_values) | +test(=arith_large_test) | +(package(powdr-riscv) and test(=evm)) | +(package(powdr-riscv) and test(=features)) \ No newline at end of file diff --git a/.github/workflows/pr-tests.yml b/.github/workflows/pr-tests.yml new file mode 100644 index 0000000000..1ad5f45a3c --- /dev/null +++ b/.github/workflows/pr-tests.yml @@ -0,0 +1,310 @@ +name: PR tests + +on: + workflow_dispatch: + pull_request: + merge_group: + push: + branches: + - main + +# cancel any previous running workflows for the same branch +concurrency: + group: ${{ github.workflow }}-${{ github.ref }} + cancel-in-progress: ${{ github.ref != 'refs/heads/main' }} + +env: + CARGO_TERM_COLOR: always + POWDR_GENERATE_PROOFS: "true" + POWDR_JIT_OPT_LEVEL: "1" + MAX_DEGREE_LOG: "20" + +jobs: + build: + runs-on: warp-ubuntu-2404-x64-8x + + steps: + - uses: actions/checkout@v4 + with: + submodules: recursive + - name: ⚡ Restore rust cache + id: cache + uses: WarpBuilds/cache/restore@v1 + with: + path: | + ~/.cargo/registry/index/ + ~/.cargo/registry/cache/ + ~/.cargo/git/db/ + target/ + Cargo.lock + key: ${{ runner.os }}-cargo-pr-tests + - name: Date of the restored cache + run: cat target/cache-build-date.txt + continue-on-error: true + + ##### The block below is shared between cache build and PR build workflows ##### + - name: Install EStarkPolygon prover dependencies + run: sudo apt-get update && sudo apt-get install -y nlohmann-json3-dev libpqxx-dev nasm libgrpc++-dev uuid-dev + - name: Install Rust toolchain nightly-2024-12-17 (with clippy and rustfmt) + run: rustup toolchain install nightly-2024-12-17-x86_64-unknown-linux-gnu && rustup component add clippy --toolchain nightly-2024-12-17-x86_64-unknown-linux-gnu && rustup component add rustfmt --toolchain nightly-2024-12-17-x86_64-unknown-linux-gnu + - name: Install Rust toolchain 1.81 (stable) + run: rustup toolchain install 1.81-x86_64-unknown-linux-gnu + - name: Set cargo to perform shallow clones + run: echo "CARGO_NET_GIT_FETCH_WITH_CLI=true" >> $GITHUB_ENV + - name: Cargo check with Rust 1.81 (default features) + run: cargo +1.81-x86_64-unknown-linux-gnu check --all-targets + - name: Lint no default features + run: cargo clippy --all --all-targets --no-default-features --profile pr-tests --verbose -- -D warnings + - name: Lint all features + run: cargo clippy --all --all-targets --all-features --profile pr-tests --verbose -- -D warnings + - name: Format + run: cargo fmt --all --check --verbose + - name: Build + run: cargo build --all-targets --all --all-features --profile pr-tests --verbose + ############################################################################### + + - uses: taiki-e/install-action@nextest + - name: Archive EStarkPolygon prover built dependencies + run: tar --zstd -cf pil-stark-prover-deps.tar.zst target/pr-tests/build/pil-stark-prover-*/out + - name: Create tests archive + run: cargo nextest archive --archive-file tests.tar.zst --cargo-profile pr-tests --workspace --all-features + - name: Upload build artifacts + uses: actions/upload-artifact@v4 + with: + name: tests_archive + path: | + tests.tar.zst + pil-stark-prover-deps.tar.zst + + test_quick: + needs: build + runs-on: ubuntu-24.04 + strategy: + matrix: + test: + - "1" + - "2" + + steps: + - uses: actions/checkout@v4 + with: + submodules: recursive + - name: Download build artifacts + uses: actions/download-artifact@v4 + with: + name: tests_archive + - name: ⚡ Cache nodejs + uses: actions/cache@v4 + with: + path: | + ~/pilcom/node_modules + key: ${{ runner.os }}-pilcom-node-modules + - name: Install Rust toolchain nightly-2024-12-17 (with clippy and rustfmt) + run: rustup toolchain install nightly-2024-12-17-x86_64-unknown-linux-gnu && rustup component add clippy --toolchain nightly-2024-12-17-x86_64-unknown-linux-gnu && rustup component add rustfmt --toolchain nightly-2024-12-17-x86_64-unknown-linux-gnu + - name: Install nightly-2024-08-01 + run: rustup toolchain install nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install std source + run: rustup component add rust-src --toolchain nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install riscv target + run: rustup target add riscv32imac-unknown-none-elf --toolchain nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install test dependencies + run: sudo apt-get update && sudo apt-get install -y binutils-riscv64-unknown-elf lld + - name: Install pilcom + run: git clone https://github.com/0xPolygonHermez/pilcom.git && cd pilcom && npm install + - uses: taiki-e/install-action@nextest + - name: Run default tests + run: cargo nextest run --archive-file tests.tar.zst --workspace-remap . --verbose --partition count:"${{ matrix.test }}"/2 + env: + PILCOM: ${{ github.workspace }}/pilcom/ + POWDR_STD: ${{ github.workspace }}/std/ + + run_examples: + runs-on: warp-ubuntu-2404-x64-4x + + steps: + - uses: actions/checkout@v4 + with: + submodules: recursive + - name: ⚡ Restore rust cache + id: cache + uses: WarpBuilds/cache/restore@v1 + with: + path: | + ~/.cargo/registry/index/ + ~/.cargo/registry/cache/ + ~/.cargo/git/db/ + target/ + Cargo.lock + key: ${{ runner.os }}-cargo-pr-tests + - name: Install Rust toolchain nightly-2024-12-17 (with clippy and rustfmt) + run: rustup toolchain install nightly-2024-12-17-x86_64-unknown-linux-gnu && rustup component add clippy --toolchain nightly-2024-12-17-x86_64-unknown-linux-gnu && rustup component add rustfmt --toolchain nightly-2024-12-17-x86_64-unknown-linux-gnu + - name: Install nightly + run: rustup toolchain install nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install std source + run: rustup component add rust-src --toolchain nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install riscv target + run: rustup target add riscv32imac-unknown-none-elf --toolchain nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install test dependencies + run: sudo apt-get update && sudo apt-get install -y binutils-riscv64-unknown-elf lld + - name: Run examples + run: cargo run --profile pr-tests --example hello_world && cargo run --profile pr-tests --example sqrt_with_publics && cargo run --profile pr-tests --example fibonacci + + test_estark_polygon: + needs: build + runs-on: ubuntu-24.04 + steps: + - uses: actions/checkout@v4 + with: + submodules: recursive + - name: Download build artifacts + uses: actions/download-artifact@v4 + with: + name: tests_archive + - name: ⚡ Cache nodejs + uses: actions/cache@v4 + with: + path: | + ~/pilcom/node_modules + key: ${{ runner.os }}-pilcom-node-modules + - name: Install Rust toolchain nightly-2024-12-17(with clippy and rustfmt) + run: rustup toolchain install nightly-2024-12-17-x86_64-unknown-linux-gnu && rustup component add clippy --toolchain nightly-2024-12-17-x86_64-unknown-linux-gnu && rustup component add rustfmt --toolchain nightly-2024-12-17-x86_64-unknown-linux-gnu + - name: Install nightly-2024-08-01 + run: rustup toolchain install nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install std source + run: rustup component add rust-src --toolchain nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install riscv target + run: rustup target add riscv32imac-unknown-none-elf --toolchain nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install pilcom + run: git clone https://github.com/0xPolygonHermez/pilcom.git && cd pilcom && npm install + - name: Install EStarkPolygon prover system dependency + run: sudo apt-get update && sudo apt-get install -y nlohmann-json3-dev + - uses: taiki-e/install-action@nextest + - name: Unpack EStarkPolygon built dependencies + run: tar --zstd -xf pil-stark-prover-deps.tar.zst + - name: Run EStark Polygon test + run: cargo nextest run --archive-file tests.tar.zst --workspace-remap . --verbose --run-ignored=ignored-only --no-capture -E "test(=vec_median_estark_polygon)" + env: + PILCOM: ${{ github.workspace }}/pilcom/ + POWDR_STD: ${{ github.workspace }}/std/ + + test_slow: + strategy: + matrix: + test: + - "1" + - "2" + - "3" + - "4" + - "5" + - "6" + - "7" + - "8" + needs: build + runs-on: ubuntu-24.04 + + steps: + - uses: actions/checkout@v4 + with: + submodules: recursive + - name: Download build artifacts + uses: actions/download-artifact@v4 + with: + name: tests_archive + - name: ⚡ Cache nodejs + uses: actions/cache@v4 + with: + path: | + ~/pilcom/node_modules + key: ${{ runner.os }}-pilcom-node-modules + - name: Install Rust toolchain nightly-2024-12-17 (with clippy and rustfmt) + run: rustup toolchain install nightly-2024-12-17-x86_64-unknown-linux-gnu && rustup component add clippy --toolchain nightly-2024-12-17-x86_64-unknown-linux-gnu && rustup component add rustfmt --toolchain nightly-2024-12-17-x86_64-unknown-linux-gnu + - name: Install test dependencies + run: sudo apt-get update && sudo apt-get install -y binutils-riscv64-unknown-elf lld + - name: Install nightly-2024-08-01 + run: rustup toolchain install nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install std source + run: rustup component add rust-src --toolchain nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install riscv target + run: rustup target add riscv32imac-unknown-none-elf --toolchain nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install pilcom + run: git clone https://github.com/0xPolygonHermez/pilcom.git && cd pilcom && npm install + - uses: taiki-e/install-action@nextest + - name: Run slow tests + # Number threads is set to 2 because the runner does not have enough memory for more. + run: | + NIGHTLY_TESTS=$(cat .github/workflows/nightly_tests_list.txt) + cargo nextest run --archive-file tests.tar.zst --workspace-remap . --verbose --run-ignored=ignored-only -E "!($NIGHTLY_TESTS)" --test-threads 2 --partition hash:"${{ matrix.test }}"/8 + shell: bash + env: + PILCOM: ${{ github.workspace }}/pilcom/ + POWDR_STD: ${{ github.workspace }}/std/ + + bench: + runs-on: warp-ubuntu-2404-x64-4x + permissions: + contents: write + deployments: write + pull-requests: write + + steps: + - uses: actions/checkout@v4 + with: + submodules: recursive + - name: ⚡ Restore rust cache + id: cache + uses: WarpBuilds/cache/restore@v1 + with: + path: | + ~/.cargo/registry/index/ + ~/.cargo/registry/cache/ + ~/.cargo/git/db/ + target/ + Cargo.lock + key: ${{ runner.os }}-cargo-pr-tests + - name: Install Rust toolchain 1.81 + run: rustup toolchain install 1.81-x86_64-unknown-linux-gnu + - name: Install nightly + run: rustup toolchain install nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install std source + run: rustup component add rust-src --toolchain nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install riscv target + run: rustup target add riscv32imac-unknown-none-elf --toolchain nightly-2024-08-01-x86_64-unknown-linux-gnu + - name: Install test dependencies + run: sudo apt-get update && sudo apt-get install -y binutils-riscv64-unknown-elf lld + - name: Install EStarkPolygon prover dependencies + run: sudo apt-get update && sudo apt-get install -y nlohmann-json3-dev libpqxx-dev nasm libgrpc++-dev libprotobuf-dev protobuf-compiler-grpc uuid-dev build-essential cmake pkg-config git + - name: Install pilcom + run: git clone https://github.com/0xPolygonHermez/pilcom.git && cd pilcom && npm install + - name: Run benchmarks + # we add `|| exit 1` to make sure the step fails if `cargo bench` fails + run: cargo bench --workspace --all-features -- --output-format bencher | tee output.txt || exit 1 + - name: Store benchmark result + uses: benchmark-action/github-action-benchmark@v1 + with: + name: Benchmarks + tool: "cargo" + output-file-path: output.txt + github-token: ${{ secrets.GITHUB_TOKEN }} + auto-push: true + alert-threshold: "120%" + comment-on-alert: true + summary-always: true + + udeps: + runs-on: ubuntu-22.04 + + steps: + - name: Checkout repository + uses: actions/checkout@v4 + + - name: Install nightly toolchain + uses: actions-rs/toolchain@v1 + with: + toolchain: nightly + override: true + + - name: Run cargo-udeps + uses: aig787/cargo-udeps-action@v1 + with: + version: "latest" + args: "--all-targets" diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000000..fb87f81494 --- /dev/null +++ b/.gitignore @@ -0,0 +1,16 @@ +# Generated by Cargo +# will have compiled files and executables +/target/ + +# Cargo configuration +/.cargo/ + +# Remove Cargo.lock from gitignore if creating an executable, leave it for libraries +# More information here https://doc.rust-lang.org/cargo/guide/cargo-toml-vs-cargo-lock.html +Cargo.lock + +# These are backup files generated by rustfmt +**/*.rs.bk + +cargo_target/ +riscv/tests/riscv_data/**/target diff --git a/404.html b/404.html new file mode 100644 index 0000000000..8d33ec90bc --- /dev/null +++ b/404.html @@ -0,0 +1,197 @@ + + + + + + Page not found - 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nt:"\f083"}.fa-key:before{content:"\f084"}.fa-gears:before,.fa-cogs:before{content:"\f085"}.fa-comments:before{content:"\f086"}.fa-thumbs-o-up:before{content:"\f087"}.fa-thumbs-o-down:before{content:"\f088"}.fa-star-half:before{content:"\f089"}.fa-heart-o:before{content:"\f08a"}.fa-sign-out:before{content:"\f08b"}.fa-linkedin-square:before{content:"\f08c"}.fa-thumb-tack:before{content:"\f08d"}.fa-external-link:before{content:"\f08e"}.fa-sign-in:before{content:"\f090"}.fa-trophy:before{content:"\f091"}.fa-github-square:before{content:"\f092"}.fa-upload:before{content:"\f093"}.fa-lemon-o:before{content:"\f094"}.fa-phone:before{content:"\f095"}.fa-square-o:before{content:"\f096"}.fa-bookmark-o:before{content:"\f097"}.fa-phone-square:before{content:"\f098"}.fa-twitter:before{content:"\f099"}.fa-facebook-f:before,.fa-facebook:before{content:"\f09a"}.fa-github:before{content:"\f09b"}.fa-unlock:before{content:"\f09c"}.fa-credit-card:before{content:"\f09d"}.fa-feed:before,.fa-rss:before{content:"\f09e"}.fa-hdd-o:before{content:"\f0a0"}.fa-bullhorn:before{content:"\f0a1"}.fa-bell:before{content:"\f0f3"}.fa-certificate:before{content:"\f0a3"}.fa-hand-o-right:before{content:"\f0a4"}.fa-hand-o-left:before{content:"\f0a5"}.fa-hand-o-up:before{content:"\f0a6"}.fa-hand-o-down:before{content:"\f0a7"}.fa-arrow-circle-left:before{content:"\f0a8"}.fa-arrow-circle-right:before{content:"\f0a9"}.fa-arrow-circle-up:before{content:"\f0aa"}.fa-arrow-circle-down:before{content:"\f0ab"}.fa-globe:before{content:"\f0ac"}.fa-wrench:before{content:"\f0ad"}.fa-tasks:before{content:"\f0ae"}.fa-filter:before{content:"\f0b0"}.fa-briefcase:before{content:"\f0b1"}.fa-arrows-alt:before{content:"\f0b2"}.fa-group:before,.fa-users:before{content:"\f0c0"}.fa-chain:before,.fa-link:before{content:"\f0c1"}.fa-cloud:before{content:"\f0c2"}.fa-flask:before{content:"\f0c3"}.fa-cut:before,.fa-scissors:before{content:"\f0c4"}.fa-copy:before,.fa-files-o:before{content:"\f0c5"}.fa-paperclip:before{content:"\f0c6"}.fa-save:before,.fa-floppy-o:before{content:"\f0c7"}.fa-square:before{content:"\f0c8"}.fa-navicon:before,.fa-reorder:before,.fa-bars:before{content:"\f0c9"}.fa-list-ul:before{content:"\f0ca"}.fa-list-ol:before{content:"\f0cb"}.fa-strikethrough:before{content:"\f0cc"}.fa-underline:before{content:"\f0cd"}.fa-table:before{content:"\f0ce"}.fa-magic:before{content:"\f0d0"}.fa-truck:before{content:"\f0d1"}.fa-pinterest:before{content:"\f0d2"}.fa-pinterest-square:before{content:"\f0d3"}.fa-google-plus-square:before{content:"\f0d4"}.fa-google-plus:before{content:"\f0d5"}.fa-money:before{content:"\f0d6"}.fa-caret-down:before{content:"\f0d7"}.fa-caret-up:before{content:"\f0d8"}.fa-caret-left:before{content:"\f0d9"}.fa-caret-right:before{content:"\f0da"}.fa-columns:before{content:"\f0db"}.fa-unsorted:before,.fa-sort:before{content:"\f0dc"}.fa-sort-down:before,.fa-sort-desc:before{content:"\f0dd"}.fa-sort-up:before,.fa-sort-asc:before{content:"\f0de"}.fa-envelope:before{content:"\f0e0"}.fa-linkedin:before{content:"\f0e1"}.fa-rotate-left:before,.fa-undo:before{content:"\f0e2"}.fa-legal:before,.fa-gavel:before{content:"\f0e3"}.fa-dashboard:before,.fa-tachometer:before{content:"\f0e4"}.fa-comment-o:before{content:"\f0e5"}.fa-comments-o:before{content:"\f0e6"}.fa-flash:before,.fa-bolt:before{content:"\f0e7"}.fa-sitemap:before{content:"\f0e8"}.fa-umbrella:before{content:"\f0e9"}.fa-paste:before,.fa-clipboard:before{content:"\f0ea"}.fa-lightbulb-o:before{content:"\f0eb"}.fa-exchange:before{content:"\f0ec"}.fa-cloud-download:before{content:"\f0ed"}.fa-cloud-upload:before{content:"\f0ee"}.fa-user-md:before{content:"\f0f0"}.fa-stethoscope:before{content:"\f0f1"}.fa-suitcase:before{content:"\f0f2"}.fa-bell-o:before{content:"\f0a2"}.fa-coffee:before{content:"\f0f4"}.fa-cutlery:before{content:"\f0f5"}.fa-file-text-o:before{content:"\f0f6"}.fa-building-o:before{content:"\f0f7"}.fa-hospital-o:before{content:"\f0f8"}.fa-ambulance:before{content:"\f0f9"}.fa-medkit:before{content:"\f0fa"}.fa-fighter-jet:before{content:"\f0fb"}.fa-beer:before{content:"\f0fc"}.fa-h-square:before{content:"\f0fd"}.fa-plus-square:before{content:"\f0fe"}.fa-angle-double-left:before{content:"\f100"}.fa-angle-double-right:before{content:"\f101"}.fa-angle-double-up:before{content:"\f102"}.fa-angle-double-down:before{content:"\f103"}.fa-angle-left:before{content:"\f104"}.fa-angle-right:before{content:"\f105"}.fa-angle-up:before{content:"\f106"}.fa-angle-down:before{content:"\f107"}.fa-desktop:before{content:"\f108"}.fa-laptop:before{content:"\f109"}.fa-tablet:before{content:"\f10a"}.fa-mobile-phone:before,.fa-mobile:before{content:"\f10b"}.fa-circle-o:before{content:"\f10c"}.fa-quote-left:before{content:"\f10d"}.fa-quote-right:before{content:"\f10e"}.fa-spinner:before{content:"\f110"}.fa-circle:before{content:"\f111"}.fa-mail-reply:before,.fa-reply:before{content:"\f112"}.fa-github-alt:before{content:"\f113"}.fa-folder-o:before{content:"\f114"}.fa-folder-open-o:before{content:"\f115"}.fa-smile-o:before{c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z-?ra7<4n?x&FYaE?cEGI)-)$tD$5+muBu}U?sPHFKe+hV5?aCTUXV`J=9AHC=o-*Q zXUuT@-0>M!)m+!o+T(oHaeB!5lJUF^EcXIqSUNsvI7$4;|X#{w!e5pUJ_ zak1J+C*mxrK*L>l)}}XDmB5!T;U_ev;jCB9B2`6t)Wa`7=7pam>YPepUHy>E1}-i| zx=cTq2|P}#Ey5pcy4D8*2oic4dykynV%zxoUkQ#ZS%}$Wd?mL`_nI;G*TmEF^KJp z_vh{DE5H7`9RZOzAku0+?DJ`Ocwh zS7jB5f%YHF1(sTSKSuTtezZh?ey859@nDV}*wx8We3^(^>c;D^k{15Qf0gLJdBw#% zK4AOfnWngIHTLC=dT)#w{3rZBSpE+*HU0+;Htp>`-fzW8*#W`aU5e&a;9&m+kS-Mo literal 0 HcmV?d00001 diff --git a/architecture/compiler.html b/architecture/compiler.html new file mode 100644 index 0000000000..41037a7b65 --- /dev/null +++ b/architecture/compiler.html @@ -0,0 +1,229 @@ + + + + + + Compiler - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Compiler

+

In this section, we explain how the powdr compiler reduces a program made of virtual and constrained machines to a set of AIRs.

+

Virtual machine reduction

+

The first step is to reduce virtual machines to constrained machines. This step is run on all machines and does not affect constrained machines. +As a result of this step, for each machine:

+ +

Block enforcement

+

Block enforcement applies on constrained machines. It makes sure that the operation_id is constant within each machine block.

+

AIR generation

+

At this point, all machines contain only:

+
    +
  • an optional degree range
    • +
  • constraints
    • +
  • links to other machines
    • +
  • operations
    • +
+

Let's define AIR as a data structure with only these elements.

+

Starting from the main machine's type, we create a tree of AIR objects by traversing its submachines, recursively instantiating each machine as an AIR. +Let's define the AIR tree as the resulting tree.

+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/architecture/index.html b/architecture/index.html new file mode 100644 index 0000000000..4b2e7d48c1 --- /dev/null +++ b/architecture/index.html @@ -0,0 +1,217 @@ + + + + + + Architecture - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Architecture

+

powdr applies a number of steps in order to reduce a powdr-asm program into PIL.

+

We provide a high level overview of these steps.

+
            ┌────────────┐           ┌──────────┐
+            │            │           │          │
+ powdr-asm  │            │ AIR graph │          │  PIL
+───────────►│  compiler  ├───────────┤  linker  ├──────►
+            │            │           │          │
+            │            │           │          │
+            └────────────┘           └──────────┘
+
+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/architecture/linker.html b/architecture/linker.html new file mode 100644 index 0000000000..47ce27d255 --- /dev/null +++ b/architecture/linker.html @@ -0,0 +1,221 @@ + + + + + + Linker - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Linker

+

A linker is used to turn an AIR tree into a single PIL file. +The linking process operates in the following way:

+
    +
  1. Create an empty PIL file
    2. +
  2. Start from the main AIR. Let main_degree_range be its degree.
    3. +
  3. For each AIR +
      +
    1. Create a new namespace in the PIL file +2a. If degrees-mode is vadcop, set the namespace degree to that of the AIR +2b. If degrees-mode is monolithic, set the namespace degree to main_degree_range
      2. +
    2. Add the constraints to the namespace
      3. +
    3. Turn the links into lookups and permutations and add them to the namespace
      4. +
    +
    4. +
+

The result is a monolithic AIR where:

+
    +
  • each machine instance is a namespace
    • +
  • each namespace defines its own degree range
    • +
+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/asm/declarations.html b/asm/declarations.html new file mode 100644 index 0000000000..505d23e578 --- /dev/null +++ b/asm/declarations.html @@ -0,0 +1,250 @@ + + + + + + Declarations - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Declarations

+

Symbols can be defined via let <name> = <value>;, or via let <name>: <type> = <value>; if you want to +specify the type explicitly. The value is an arbitrary PIL-expression. +For details, see the Declarations section in the PIL part.

+

Other symbols available in the current module can be accessed by name, but it is also possible to specify +full relative paths in the form of e.g. super::super::module_name::symbol.

+

Here are some examples of how to define and use symbols:

+
mod utils {
+    // This defines a function by means of a lambda expression that
+    // computes the sum of an array of values. We fully specify its type.
+    let sum: int, int[] -> int = |len, arr| match len {
+        0 => 0,
+        _ => arr[len - 1] + sum(len - 1, arr)
+    };
+    // A simple function that returns the input incremented by one,
+    // as an expression.
+    let incremented: expr -> expr = |x| x + 1;
+    // This is a function that takes an expression as input and returns
+    // a constraint enforcing this expression increments by a certain value
+    // between rows.
+    // The type will be inferred here because `'` is only valid on `expr`.
+    let constrain_incremented_by = |x, inc| x' = x + inc;
+}
+
+machine Main with degree: 4 {
+    // Machines create local scopes in the way functions create local scopes:
+    // - all symbols in the machine's module are available without prefix,
+    // - new symbols can be defined but are only available inside the machine.
+    reg A;
+    reg pc[@pc];
+
+    // This defines a witness column,
+    let x;
+    // and now we force it to stay unchanged.
+    utils::constrain_incremented_by(x, 0);
+
+    // We define an instruction that uses a complicated way to increment a register.
+    instr incr_a { A' = utils::incremented(A) }
+
+    function main {
+        incr_a;
+        return;
+    }
+}
+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/asm/expressions.html b/asm/expressions.html new file mode 100644 index 0000000000..bfe99e6d5a --- /dev/null +++ b/asm/expressions.html @@ -0,0 +1,216 @@ + + + + + + Expressions - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Expressions

+

Field element literals

+

Field element literals are signed elements of the prime field.

+
        CNT <=X= 3;
+

Registers and columns

+

Registers can be used as expressions, with the exception of assignment registers.

+
        CNT <=X= CNT - 1;
+

Instructions

+

Instructions which return outputs can be used as expressions.

+
        A, B <== square_and_double(A);
+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/asm/functions.html b/asm/functions.html new file mode 100644 index 0000000000..32a1c8c079 --- /dev/null +++ b/asm/functions.html @@ -0,0 +1,291 @@ + + + + + + Functions - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Functions

+

Functions are the entry points to a virtual machine. They can be called from another machine or from the outside.

+

In this section, we describe functions with this simple virtual machine:

+

+machine Machine with degree: 16 {
+    reg pc[@pc];
+    reg X[<=];
+    reg Y[<=];
+    reg Z[<=];
+    reg CNT;
+    reg A;
+    reg B;
+
+    // an instruction to assert that a number is zero
+    instr assert_zero X {
+        X = 0
+    }
+
+    // an instruction to jump to a label
+    instr jmp l: label {
+        pc' = l 
+    }
+
+    // an instruction to jump to a label iff `X` is `0`, otherwise continue
+    instr jmpz X, l: label { 
+        pc' = XIsZero * l + (1 - XIsZero) * (pc + 1) 
+    }
+    
+    // an instruction to return the square of an input as well as its double
+    instr square_and_double X -> Y, Z {
+        Y = X * X,
+        Z = 2 * X
+    }
+
+    function main {
+        // initialise `A` to 2
+        A <=X= 2;
+        // initialise `CNT` to `3`
+        CNT <=X= 3;
+        start:
+        // if `CNT` is `0`, jump to `end`
+        jmpz CNT, end;
+        // decrement `CNT`
+        CNT <=X= CNT - 1;
+        // get the square and the double of `A`
+        A, B <== square_and_double(A);
+        // jump back to `start`
+        jmp start;
+        end:
+        // check that `A == ((2**2)**2)**2`
+        assert_zero A - ((2**2)**2)**2;
+        // check that `B == ((2**2)**2)*2`
+        assert_zero B - ((2**2)**2)*2;
+        return;
+    }
+
+    // some superpowers on `X` to allow us to check if it's 0
+    col witness XInv;
+    col witness XIsZero;
+    XIsZero  = 1 - X * XInv;
+    XIsZero * X = 0;
+    XIsZero * (1 - XIsZero) = 0;
+}
+
+

Function inputs and outputs

+
+

Function inputs and outputs are not supported yet

+
+

Statements

+

Labels

+

Labels allow referring to a location in a function by name.

+
        start:
+

Assignments

+

Assignments allow setting the values of some write registers to the values of some expressions expression using assignment registers.

+
        CNT <=X= 3;
+

If the right-hand side of the assignment is an instruction, assignment registers can be inferred and are optional:

+
        A, B <== square_and_double(A);
+

This will be inferred to be the same as A, B <=Y, Z= square_and_double(A); from the definition of the instruction:

+
    instr square_and_double X -> Y, Z {
+        Y = X * X,
+        Z = 2 * X
+    }
+

Instructions

+

Instructions which do not return outputs can be used as statements.

+
        assert_zero A - ((2**2)**2)**2;
+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/asm/index.html b/asm/index.html new file mode 100644 index 0000000000..6e0a53767e --- /dev/null +++ b/asm/index.html @@ -0,0 +1,208 @@ + + + + + + asm - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

asm

+

powdr-asm is the higher level of abstraction in powdr. It allows defining Instruction Set Architectures (ISA) using virtual and constrained machines.

+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/asm/instructions.html b/asm/instructions.html new file mode 100644 index 0000000000..bbc58f8ea4 --- /dev/null +++ b/asm/instructions.html @@ -0,0 +1,355 @@ + + + + + + Instructions - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Instructions

+

Instructions are declared as part of a powdr virtual machine. +Once defined, they can be called by any function in this machine. +An instruction is composed of:

+
    +
  • a name
    • +
  • a set of inputs (assignment registers or labels)
    • +
  • a set of outputs (assignment registers)
    • +
  • a set of powdr-pil constraints to activate when the instruction is called
    • +
  • a set of links calling into functions/operations in submachines
    • +
+

Local instructions

+

A local instruction is the simplest type of instruction. +It is called local because its behavior is defined by a set of constraints over registers and columns of the machine it is defined in.

+
instr add X, Y -> Z {
+    X + Y = Z
+}
+

Instructions with links

+

Instructions may also delegate all or part of their implementation to functions/operations in submachines. +Each link in an instruction defines the inputs and outputs of a call to a specific function/operation in a submachine.

+

Assume we have a submachine with a single operation add:

+
machine SubMachine with
+    degree: 32,
+    latch: latch,
+    operation_id: operation_id
+{
+    col witness operation_id;
+    col fixed latch = [1]*;
+
+    operation add<0> x, y -> z;
+
+    col witness x;
+    col witness y;
+    col witness z;
+    z = y + x;
+}
+

An instruction calling into this operation can be declared as follows:

+
    SubMachine submachine;
+
+    instr add X, Y -> Z link => Z = submachine.add(X, Y); // - trivial usage: only instruction inputs/outputs used in the call
+

In the previous example, only assignment registers (instruction inputs and outputs) were used to call the submachine. +The following example shows more complex usage of link calls:

+
machine Main with degree: 32 {
+    reg pc[@pc];
+    reg X[<=];
+    reg Y[<=];
+    reg Z[<=];
+    reg A;
+    reg B;
+    reg C;
+
+    SubMachine submachine;
+
+    instr add X, Y -> Z link => Z = submachine.add(X, Y); // - trivial usage: only instruction inputs/outputs used in the call
+    instr add_to_A X, Y link => A' = submachine.add(X, Y);// - output to a regular register
+    instr addAB -> X link => X = submachine.add(A, B);    // - inputs from regular registers
+    instr addAB_to_C link => C' = submachine.add(A, B);   // - inputs and output from regular registers
+    instr addAB_to_A link => A' = submachine.add(A, B);   // - reusing an input register as output
+    instr sub X, Y -> Z link => X = submachine.add(Y, Z); // - swapping input/output
+    // expressions can also be used as call parameters
+    instr add5 X -> Z link => Z = submachine.add(X, 3+2); // - literal expression as argument
+    col fixed STEP(i) { i };
+    instr add_current_time_step X -> Z link => Z = submachine.add(X, STEP);// - machine columns can be referenced
+    let arr = [1,2,3,4,5];                          // - functions can be used
+    instr add_arr_sum X -> Z link => Z = submachine.add(X, std::array::sum(arr));
+
+    instr assert_eq X, Y { X = Y }
+
+    function main {
+        A <== add(2, 3);
+        assert_eq A, 5;
+        add_to_A 6, 7;
+        assert_eq A, 13;
+
+        A <== sub(6, 5);
+        assert_eq A, 1;
+        B <=X= 20;
+        C <== addAB();
+        assert_eq C, 21;
+
+        A <=X= 2;
+        B <=X= 3;
+        addAB_to_C;
+        assert_eq C, 5;
+
+        A <=X= 33;
+        B <=X= 44;
+        addAB_to_A;
+        assert_eq A, 77;
+
+        A <== add5(2);
+        assert_eq A, 7;
+        A <== add_arr_sum(3);
+        assert_eq A, 18;
+
+        // Note that the result of this operation depends on when it executed (STEP column)
+        A <== add_current_time_step(42);
+        B <== add_current_time_step(42);
+        assert_eq B - A, 1;
+
+        return;
+    }
+}
+

A single instruction can activate multiple links, and may also include a set of constraints. +Furthermore, each link can be activated conditionally, based on a given boolean flag:

+
machine Main with degree: 16 {
+    reg pc[@pc];
+    reg X[<=];
+    reg Y[<=];
+    reg Z[<=];
+    reg W[<=];
+    reg A;
+    col witness B;
+    col witness C;
+
+    SubMachine submachine;
+
+    // multiple links can be activated by a single instruction,
+    // witness columns can be used for temporary values,
+    // and additional constraints can be used
+    instr double_then_mul X, Y -> Z
+        link => B = submachine.add(X, X)
+        link => C = submachine.add(Y, Y)
+    {
+        Z = B * C
+    }
+
+    // links activated conditional on a boolean flag
+    instr add_or_sub W, X, Y -> Z
+        link if W => Z = submachine.add(X, Y)
+        link if (1 - W) => Z = submachine.sub(X, Y);
+
+    instr assert_eq X, Y { X = Y }
+
+    function main {
+        A <== double_then_mul(3, 2);
+        assert_eq A, 24;
+
+        A <== add_or_sub(1, 3, 2);
+        assert_eq A, 5;
+        A <== add_or_sub(0, 3, 2);
+        assert_eq A, 1;
+
+        return;
+    }
+}
+
+

Note that links cannot currently call functions from the same machine: they delegate computation to a submachine.

+
+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/asm/links.html b/asm/links.html new file mode 100644 index 0000000000..728e456e80 --- /dev/null +++ b/asm/links.html @@ -0,0 +1,265 @@ + + + + + + Links - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Links

+

Links enable a constrained machine to call into another machine. +They are defined by a call to an operation, where inputs and outputs are expressions. +An optional boolean flag restricts the rows in which the link is active. +Links without a boolean flag are active in every row.

+
machine Add4 with
+    degree: 32,
+    latch: latch,
+    operation_id: operation_id
+{
+    Add adder;
+
+    operation add4<0> x, y, z, w -> r;
+
+    // Links without a flag are active on every row.
+    // - constrain the values of `x`, `y`, and `n` so that `n = adder.add(x, y)`
+    link => n = adder.add(x, y);
+    // - constrain the values of `z`, `w`, and `m` so that `m = adder.add(z, w)`
+    link => m = adder.add(z, w);
+    // - constrain the values of `m`, `n` and `r` so that `r = adder.add(m,n)`
+    link => r = adder.add(m, n);
+
+    col fixed operation_id = [0]*;
+    col fixed latch = [1]*;
+
+    col witness x;
+    col witness y;
+    col witness z;
+    col witness w;
+    col witness r;
+    col witness m;
+    col witness n;
+}
+
+machine Add with
+    degree: 32,
+    latch: latch
+{
+    // operation name, with column names as inputs and outputs
+    operation add a, b -> c;
+
+    col fixed latch = [1]*;
+
+    col witness a;
+    col witness b;
+    col witness c;
+
+    // constraint "implementing" the operation
+    c = a + b;
+}
+
+

If a boolean flag is given, the link is only active in rows where the flag evaluates to 1. +Whenever a link is active, the columns mapped as inputs and outputs are constrained by the operation implementation. +The following example demonstrates how to use links with flags.

+
col fixed odd_row = [0,1]*;
+
+link if odd_row => z = submachine.foo(x, y); // active on odd rows only
+link if (1 - odd_row) => z = submachine.bar(x, y); // active on even rows only
+
+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/asm/machines.html b/asm/machines.html new file mode 100644 index 0000000000..537087ba09 --- /dev/null +++ b/asm/machines.html @@ -0,0 +1,308 @@ + + + + + + Machines - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Machines

+

Machines are the first main concept in powdr-asm. They can currently be of two types: virtual or constrained.

+

Virtual machines

+

Dynamic machines are defined by:

+ +

An example of a simple dynamic machine is the following:

+
machine HelloWorld with degree: 8 {
+    reg pc[@pc];
+    reg X[<=];
+    reg Y[<=];
+    reg A;
+
+    instr incr X -> Y {
+        Y = X + 1
+    }
+
+    instr decr X -> Y {
+        Y = X - 1
+    }
+
+    instr assert_zero X {
+        X = 0
+    }
+
+    function main {
+        // assign the first prover input to A
+        A <=X= ${ std::prelude::Query::Input(0, 1) };
+
+        // increment A
+        A <== incr(A);
+
+        // decrement A
+        A <== decr(A);
+
+        // assert that A is zero
+        assert_zero A;
+
+        return;
+    }
+}
+

Constrained machines

+

Constrained machines are a lower-level type of machine. They do not have registers, and instead rely on simple committed and fixed columns. They are used to implement hand-optimized computation.

+

They are defined by:

+
    +
  • a degree range, indicating the number of execution steps
    • +
  • a set of operations
    • +
  • an operation_identifier column, used to make constraints conditional over which function is called. It can be omitted with _ if the machine has at most one operation.
    • +
  • a latch column, used to identify rows at which the machine can be accessed from the outside (where the inputs and outputs are passed). It can be omitted if the machine has no operations.
    • +
  • a set of submachines
    • +
  • a set of links
    • +
+

An example of a simple constrained machine is the following:

+
machine SimpleStatic with
+    degree: 8,
+    latch: latch,
+    operation_id: operation_id
+{
+    operation power_4<0> x -> y;
+
+    col fixed operation_id = [0]*;
+    col fixed latch = [0, 0, 0, 1]*;
+    col witness x;
+    col witness y;
+
+    // initialise y to x at the beginning of each block
+    latch * (y' - x') = 0;
+    // x is unconstrained at the beginning of the block
+
+    // x is constant within a block
+    (1 - latch) * (x' - x) = 0;
+    // y is multiplied by x at each row
+    (1 - latch) * (y' - x * y) = 0;
+}
+

For more details on the powdr-pil statements, check out the pil section of this book. Note that the parameters of the operation are columns defined in powdr-pil statements.

+

Submachines

+

Machines can have submachines which they access by defining external instructions or links. They are declared as follows:

+
machine MySubmachine {
+    ...
+}
+
+machine MyMachine {
+    MySubmachine my_submachine;
+}
+

Machines can also receive submachines as construction parameters. +A machine passed in as an argument can be accessed in the same way as locally declared submachines:

+
machine MachineWithParam(subm: MySubmachine) {
+    // `subm` can be accessed as a submachine
+    ...
+}
+
+machine MyMachine {
+    MySubmachine my_submachine;
+    // `my_submachine` is passed to `another_submachine` as a construction argument
+    MachineWithParam another_submachine(my_submachine);
+}
+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/asm/modules.html b/asm/modules.html new file mode 100644 index 0000000000..f360ecfddc --- /dev/null +++ b/asm/modules.html @@ -0,0 +1,275 @@ + + + + + + Modules - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Modules

+

powdr exposes a module system to help organise and reuse code.

+
use my_module::Other as LocalOther;
+
+// we can define a module at `./submodule.asm`
+mod submodule;
+
+// we can define a module at `./submodule_in_folder/mod.asm`
+mod submodule_in_folder;
+
+use submodule::Other as SubmoduleOther;
+use submodule_in_folder::Other as FolderSubmoduleOther;
+
+let zero: int = 0;
+
+// we can also define modules inline
+mod utils {
+    // Each module has a fresh symbol list. Every external symbol needs to be imported,
+    // even from the parent module.
+    use super::zero;
+
+    let one = zero + 1;
+}
+
+machine Main with degree: 8 {
+    // use a machine from another module by relative path
+    my_module::Other a;
+
+    // use a machine from another module using a local binding
+    LocalOther b;
+
+    // use a machine from another module defined in a different file
+    SubmoduleOther c;
+
+    // use a machine from another module defined in a different directory
+    FolderSubmoduleOther d;
+
+    reg pc[@pc];
+
+    instr nothing link => a.nothing();
+    instr also_nothing link => b.nothing();
+    instr still_nothing link => c.nothing();
+    instr nothing_again link => d.nothing();
+
+    function main {
+        nothing;
+        also_nothing;
+        still_nothing;
+        nothing_again;
+        return;
+    }
+}
+
+mod my_module {
+    machine Other with
+        degree: 8,
+        latch: latch,
+        operation_id: operation_id
+    {
+        operation nothing<0>;
+
+        col fixed latch = [1]*;
+        col fixed operation_id = [0]*;
+    }
+}
+

Note that a module can't be called std, as this name is reserved for the powdr standard library.

+

Similar to Rust, any reference that cannot be resolved is looked up once more in std::prelude. +This module exposes basic types and values such as Option, true and false. +This means that you can use Option anywhere without prefix.

+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/asm/operations.html b/asm/operations.html new file mode 100644 index 0000000000..bb2ed98c65 --- /dev/null +++ b/asm/operations.html @@ -0,0 +1,250 @@ + + + + + + Operations - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Operations

+

Operations enable a constrained machine to expose behavior to the outside. +If a machine has a single operation, it can simply be declared with its name and parameters:

+
machine Add with
+    degree: 32,
+    latch: latch
+{
+    // operation name, with column names as inputs and outputs
+    operation add a, b -> c;
+
+    col fixed latch = [1]*;
+
+    col witness a;
+    col witness b;
+    col witness c;
+
+    // constraint "implementing" the operation
+    c = a + b;
+}
+

The parameters of the operation (inputs and outputs) must be columns declared in the machine.

+

If a machine exposes more than one operation, the machine itself needs an operation id column (op_id in the following). +Then, each operation needs to be declared with its own unique operation id:

+
// machine declaration must include an operation id column name
+machine AddSub with
+    degree: 32,
+    latch: latch,
+    operation_id: op_id
+{
+    // each operation has its own unique operation id
+    operation add<0> a, b -> c;
+    operation sub<1> a, b -> c;
+
+    col fixed latch = [1]*;
+        // it also needs to be declared as a column
+    col witness op_id;
+
+    col witness a;
+    col witness b;
+    col witness c;
+
+    // constraint "implementing" both operations, depending on `op_id`
+    c = (1 - op_id) * (a + b) + op_id * (a - b);
+}
+

The actual behavior of an operation is defined by the machine constraints on the columns used as inputs and outputs.

+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/asm/registers.html b/asm/registers.html new file mode 100644 index 0000000000..46e11cecfb --- /dev/null +++ b/asm/registers.html @@ -0,0 +1,256 @@ + + + + + + Registers - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Registers

+

Registers are central to a machine. powdr supports a few types of registers:

+

Program counter

+

Each machine can have at most one program counter. In the absence of a program counter, the machine is considered static, and no other register can be declared. The program counter is defined as follows:

+
reg pc[@pc]
+

At each step execution step, the program counter points to the function line to execute. +The program counter behaves like a write register, with the exception that its value is incremented by default after each step.

+

Write registers

+

Write registers are the default type for registers. They are declared as follows:

+
reg A;
+

They hold a field element, are initialized as 0 at the beginning of a function and keep their value by default. They can be read from and written to.

+
// write to A
+A <=X= 1;
+// A is 1
+
+// read from A
+B <=X= A;
+// A is still 1
+

Assignment registers

+

Assignment registers are transient to an execution step: their value is not persisted across steps. They are required in order to pass inputs and receive outputs from instructions, as well as in assignments. +For example, if we want to assert that write register A is 0, we can use the following instruction:

+
reg pc[@pc];
+reg A;
+
+instr assert_A_is_zero {
+    A = 0
+}
+
+function main {
+    assert_A_is_zero;
+    return;
+}
+

However, if we want the instruction to accept any write register as input, we use an assignment register.

+
reg pc[@pc];
+reg X[<=];
+reg A;    
+
+instr assert_zero X {
+    X = 0
+}
+
+function main {
+    assert_zero A;
+    return;
+}
+

Read-only registers

+

Read-only registers are used for function inputs. However, powdr creates them automatically based on functions arguments, so that they do not need to be declared explicitly.

+
+

Read-only registers are only mentioned for completeness here and are currently only used inside the compiler. We advise against using them.

+
+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/ayu-highlight.css b/ayu-highlight.css new file mode 100644 index 0000000000..32c9432224 --- /dev/null +++ b/ayu-highlight.css @@ -0,0 +1,78 @@ +/* +Based off of the Ayu theme +Original by Dempfi (https://github.com/dempfi/ayu) +*/ + +.hljs { + display: block; + overflow-x: auto; + background: #191f26; + color: #e6e1cf; +} + +.hljs-comment, +.hljs-quote { + color: #5c6773; + font-style: italic; +} + +.hljs-variable, +.hljs-template-variable, +.hljs-attribute, +.hljs-attr, +.hljs-regexp, +.hljs-link, +.hljs-selector-id, +.hljs-selector-class { + color: #ff7733; +} + +.hljs-number, +.hljs-meta, +.hljs-builtin-name, +.hljs-literal, +.hljs-type, +.hljs-params { + color: #ffee99; +} + +.hljs-string, +.hljs-bullet { + color: #b8cc52; +} + +.hljs-title, +.hljs-built_in, +.hljs-section { + color: #ffb454; +} + +.hljs-keyword, +.hljs-selector-tag, +.hljs-symbol { + color: #ff7733; +} + +.hljs-name { + color: #36a3d9; +} + +.hljs-tag { + color: #00568d; +} + +.hljs-emphasis { + font-style: italic; +} + +.hljs-strong { + font-weight: bold; +} + +.hljs-addition { + color: #91b362; +} + +.hljs-deletion { + color: #d96c75; +} diff --git a/backends/estark.html b/backends/estark.html new file mode 100644 index 0000000000..c38698c80f --- /dev/null +++ b/backends/estark.html @@ -0,0 +1,209 @@ + + + + + + eSTARK - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

eSTARK

+

powdr supports the eSTARK proof system with the Goldilocks field, +implemented by the starky library from eigen-zkvm.

+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/backends/halo2.html b/backends/halo2.html new file mode 100644 index 0000000000..08ca156689 --- /dev/null +++ b/backends/halo2.html @@ -0,0 +1,208 @@ + + + + + + Halo2 - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Halo2

+

powdr supports the PSE fork of halo2 with the bn254 field.

+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/backends/index.html b/backends/index.html new file mode 100644 index 0000000000..061b95a138 --- /dev/null +++ b/backends/index.html @@ -0,0 +1,208 @@ + + + + + + Backends - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Backends

+

powdr aims to have full flexibility when it comes to generating proofs and comes with a few built-in backends to get started with zkVMs.

+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/backends/plonky3.html b/backends/plonky3.html new file mode 100644 index 0000000000..ffba94bd2c --- /dev/null +++ b/backends/plonky3.html @@ -0,0 +1,208 @@ + + + + + + plonky3 - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Plonky3

+

powdr partially supports plonky3 with the Goldilocks, BabyBear, KoalaBear, and Mersenne31 fields.

+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/book.js b/book.js new file mode 100644 index 0000000000..178f1e902d --- /dev/null +++ b/book.js @@ -0,0 +1,690 @@ +"use strict"; + +// Fix back button cache problem +window.onunload = function () { }; + +// Global variable, shared between modules +function playground_text(playground, hidden = true) { + let code_block = playground.querySelector("code"); + + if (window.ace && code_block.classList.contains("editable")) { + let editor = window.ace.edit(code_block); + return editor.getValue(); + } else if (hidden) { + return code_block.textContent; + } else { + return code_block.innerText; + } +} + +(function codeSnippets() { + function fetch_with_timeout(url, options, timeout = 6000) { + return Promise.race([ + fetch(url, options), + new Promise((_, reject) => setTimeout(() => reject(new Error('timeout')), timeout)) + ]); + } + + var playgrounds = Array.from(document.querySelectorAll(".playground")); + if (playgrounds.length > 0) { + fetch_with_timeout("https://play.rust-lang.org/meta/crates", { + headers: { + 'Content-Type': "application/json", + }, + method: 'POST', + mode: 'cors', + }) + .then(response => response.json()) + .then(response => { + // get list of crates available in the rust playground + let playground_crates = response.crates.map(item => item["id"]); + playgrounds.forEach(block => handle_crate_list_update(block, playground_crates)); + }); + } + + function handle_crate_list_update(playground_block, playground_crates) { + // update the play buttons after receiving the response + update_play_button(playground_block, playground_crates); + + // and install on change listener to dynamically update ACE editors + if (window.ace) { + let code_block = playground_block.querySelector("code"); + if (code_block.classList.contains("editable")) { + let editor = window.ace.edit(code_block); + editor.addEventListener("change", function (e) { + update_play_button(playground_block, playground_crates); + }); + // add Ctrl-Enter command to execute rust code + editor.commands.addCommand({ + name: "run", + bindKey: { + win: "Ctrl-Enter", + mac: "Ctrl-Enter" + }, + exec: _editor => run_rust_code(playground_block) + }); + } + } + } + + // updates the visibility of play button based on `no_run` class and + // used crates vs ones available on https://play.rust-lang.org + function update_play_button(pre_block, playground_crates) { + var play_button = pre_block.querySelector(".play-button"); + + // skip if code is `no_run` + if (pre_block.querySelector('code').classList.contains("no_run")) { + play_button.classList.add("hidden"); + return; + } + + // get list of `extern crate`'s from snippet + var txt = playground_text(pre_block); + var re = /extern\s+crate\s+([a-zA-Z_0-9]+)\s*;/g; + var snippet_crates = []; + var item; + while (item = re.exec(txt)) { + snippet_crates.push(item[1]); + } + + // check if all used crates are available on play.rust-lang.org + var all_available = snippet_crates.every(function (elem) { + return playground_crates.indexOf(elem) > -1; + }); + + if (all_available) { + play_button.classList.remove("hidden"); + } else { + play_button.classList.add("hidden"); + } + } + + function run_rust_code(code_block) { + var result_block = code_block.querySelector(".result"); + if (!result_block) { + result_block = document.createElement('code'); + result_block.className = 'result hljs language-bash'; + + code_block.append(result_block); + } + + let text = playground_text(code_block); + let classes = code_block.querySelector('code').classList; + let edition = "2015"; + if(classes.contains("edition2018")) { + edition = "2018"; + } else if(classes.contains("edition2021")) { + edition = "2021"; + } + var params = { + version: "stable", + optimize: "0", + code: text, + edition: edition + }; + + if (text.indexOf("#![feature") !== -1) { + params.version = "nightly"; + } + + result_block.innerText = "Running..."; + + fetch_with_timeout("https://play.rust-lang.org/evaluate.json", { + headers: { + 'Content-Type': "application/json", + }, + method: 'POST', + mode: 'cors', + body: JSON.stringify(params) + }) + .then(response => response.json()) + .then(response => { + if (response.result.trim() === '') { + result_block.innerText = "No output"; + result_block.classList.add("result-no-output"); + } else { + result_block.innerText = response.result; + result_block.classList.remove("result-no-output"); + } + }) + .catch(error => result_block.innerText = "Playground Communication: " + error.message); + } + + // Syntax highlighting Configuration + hljs.configure({ + tabReplace: ' ', // 4 spaces + languages: [], // Languages used for auto-detection + }); + + let code_nodes = Array + .from(document.querySelectorAll('code')) + // Don't highlight `inline code` blocks in headers. + .filter(function (node) {return !node.parentElement.classList.contains("header"); }); + + if (window.ace) { + // language-rust class needs to be removed for editable + // blocks or highlightjs will capture events + code_nodes + .filter(function (node) {return node.classList.contains("editable"); }) + .forEach(function (block) { block.classList.remove('language-rust'); }); + + code_nodes + .filter(function (node) {return !node.classList.contains("editable"); }) + .forEach(function (block) { hljs.highlightBlock(block); }); + } else { + code_nodes.forEach(function (block) { hljs.highlightBlock(block); }); + } + + // Adding the hljs class gives code blocks the color css + // even if highlighting doesn't apply + code_nodes.forEach(function (block) { block.classList.add('hljs'); }); + + Array.from(document.querySelectorAll("code.hljs")).forEach(function (block) { + + var lines = Array.from(block.querySelectorAll('.boring')); + // If no lines were hidden, return + if (!lines.length) { return; } + block.classList.add("hide-boring"); + + var buttons = document.createElement('div'); + buttons.className = 'buttons'; + buttons.innerHTML = ""; + + // add expand button + var pre_block = block.parentNode; + pre_block.insertBefore(buttons, pre_block.firstChild); + + pre_block.querySelector('.buttons').addEventListener('click', function (e) { + if (e.target.classList.contains('fa-eye')) { + e.target.classList.remove('fa-eye'); + e.target.classList.add('fa-eye-slash'); + e.target.title = 'Hide lines'; + e.target.setAttribute('aria-label', e.target.title); + + block.classList.remove('hide-boring'); + } else if (e.target.classList.contains('fa-eye-slash')) { + e.target.classList.remove('fa-eye-slash'); + e.target.classList.add('fa-eye'); + e.target.title = 'Show hidden lines'; + e.target.setAttribute('aria-label', e.target.title); + + block.classList.add('hide-boring'); + } + }); + }); + + if (window.playground_copyable) { + Array.from(document.querySelectorAll('pre code')).forEach(function (block) { + var pre_block = block.parentNode; + if (!pre_block.classList.contains('playground')) { + var buttons = pre_block.querySelector(".buttons"); + if (!buttons) { + buttons = document.createElement('div'); + buttons.className = 'buttons'; + pre_block.insertBefore(buttons, pre_block.firstChild); + } + + var clipButton = document.createElement('button'); + clipButton.className = 'clip-button'; + clipButton.title = 'Copy to clipboard'; + clipButton.setAttribute('aria-label', clipButton.title); + clipButton.innerHTML = ''; + + buttons.insertBefore(clipButton, buttons.firstChild); + } + }); + } + + // Process playground code blocks + Array.from(document.querySelectorAll(".playground")).forEach(function (pre_block) { + // Add play button + var buttons = pre_block.querySelector(".buttons"); + if (!buttons) { + buttons = document.createElement('div'); + buttons.className = 'buttons'; + pre_block.insertBefore(buttons, pre_block.firstChild); + } + + var runCodeButton = document.createElement('button'); + runCodeButton.className = 'fa fa-play play-button'; + runCodeButton.hidden = true; + runCodeButton.title = 'Run this code'; + runCodeButton.setAttribute('aria-label', runCodeButton.title); + + buttons.insertBefore(runCodeButton, buttons.firstChild); + runCodeButton.addEventListener('click', function (e) { + run_rust_code(pre_block); + }); + + if (window.playground_copyable) { + var copyCodeClipboardButton = document.createElement('button'); + copyCodeClipboardButton.className = 'clip-button'; + copyCodeClipboardButton.innerHTML = ''; + copyCodeClipboardButton.title = 'Copy to clipboard'; + copyCodeClipboardButton.setAttribute('aria-label', copyCodeClipboardButton.title); + + buttons.insertBefore(copyCodeClipboardButton, buttons.firstChild); + } + + let code_block = pre_block.querySelector("code"); + if (window.ace && code_block.classList.contains("editable")) { + var undoChangesButton = document.createElement('button'); + undoChangesButton.className = 'fa fa-history reset-button'; + undoChangesButton.title = 'Undo changes'; + undoChangesButton.setAttribute('aria-label', undoChangesButton.title); + + buttons.insertBefore(undoChangesButton, buttons.firstChild); + + undoChangesButton.addEventListener('click', function () { + let editor = window.ace.edit(code_block); + editor.setValue(editor.originalCode); + editor.clearSelection(); + }); + } + }); +})(); + +(function themes() { + var html = document.querySelector('html'); + var themeToggleButton = document.getElementById('theme-toggle'); + var themePopup = document.getElementById('theme-list'); + var themeColorMetaTag = document.querySelector('meta[name="theme-color"]'); + var themeIds = []; + themePopup.querySelectorAll('button.theme').forEach(function (el) { + themeIds.push(el.id); + }); + var stylesheets = { + ayuHighlight: document.querySelector("[href$='ayu-highlight.css']"), + tomorrowNight: document.querySelector("[href$='tomorrow-night.css']"), + highlight: document.querySelector("[href$='highlight.css']"), + }; + + function showThemes() { + themePopup.style.display = 'block'; + themeToggleButton.setAttribute('aria-expanded', true); + themePopup.querySelector("button#" + get_theme()).focus(); + } + + function updateThemeSelected() { + themePopup.querySelectorAll('.theme-selected').forEach(function (el) { + el.classList.remove('theme-selected'); + }); + themePopup.querySelector("button#" + get_theme()).classList.add('theme-selected'); + } + + function hideThemes() { + themePopup.style.display = 'none'; + themeToggleButton.setAttribute('aria-expanded', false); + themeToggleButton.focus(); + } + + function get_theme() { + var theme; + try { theme = localStorage.getItem('mdbook-theme'); } catch (e) { } + if (theme === null || theme === undefined || !themeIds.includes(theme)) { + return default_theme; + } else { + return theme; + } + } + + function set_theme(theme, store = true) { + let ace_theme; + + if (theme == 'coal' || theme == 'navy') { + stylesheets.ayuHighlight.disabled = true; + stylesheets.tomorrowNight.disabled = false; + stylesheets.highlight.disabled = true; + + ace_theme = "ace/theme/tomorrow_night"; + } else if (theme == 'ayu') { + stylesheets.ayuHighlight.disabled = false; + stylesheets.tomorrowNight.disabled = true; + stylesheets.highlight.disabled = true; + ace_theme = "ace/theme/tomorrow_night"; + } else { + stylesheets.ayuHighlight.disabled = true; + stylesheets.tomorrowNight.disabled = true; + stylesheets.highlight.disabled = false; + ace_theme = "ace/theme/dawn"; + } + + setTimeout(function () { + themeColorMetaTag.content = getComputedStyle(document.documentElement).backgroundColor; + }, 1); + + if (window.ace && window.editors) { + window.editors.forEach(function (editor) { + editor.setTheme(ace_theme); + }); + } + + var previousTheme = get_theme(); + + if (store) { + try { localStorage.setItem('mdbook-theme', theme); } catch (e) { } + } + + html.classList.remove(previousTheme); + html.classList.add(theme); + updateThemeSelected(); + } + + // Set theme + var theme = get_theme(); + + set_theme(theme, false); + + themeToggleButton.addEventListener('click', function () { + if (themePopup.style.display === 'block') { + hideThemes(); + } else { + showThemes(); + } + }); + + themePopup.addEventListener('click', function (e) { + var theme; + if (e.target.className === "theme") { + theme = e.target.id; + } else if (e.target.parentElement.className === "theme") { + theme = e.target.parentElement.id; + } else { + return; + } + set_theme(theme); + }); + + themePopup.addEventListener('focusout', function(e) { + // e.relatedTarget is null in Safari and Firefox on macOS (see workaround below) + if (!!e.relatedTarget && !themeToggleButton.contains(e.relatedTarget) && !themePopup.contains(e.relatedTarget)) { + hideThemes(); + } + }); + + // Should not be needed, but it works around an issue on macOS & iOS: https://github.com/rust-lang/mdBook/issues/628 + document.addEventListener('click', function(e) { + if (themePopup.style.display === 'block' && !themeToggleButton.contains(e.target) && !themePopup.contains(e.target)) { + hideThemes(); 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+ var sidebarLinks = document.querySelectorAll('#sidebar a'); + var sidebarToggleButton = document.getElementById("sidebar-toggle"); + var sidebarResizeHandle = document.getElementById("sidebar-resize-handle"); + var firstContact = null; + + function showSidebar() { + body.classList.remove('sidebar-hidden') + body.classList.add('sidebar-visible'); + Array.from(sidebarLinks).forEach(function (link) { + link.setAttribute('tabIndex', 0); + }); + sidebarToggleButton.setAttribute('aria-expanded', true); + sidebar.setAttribute('aria-hidden', false); + try { localStorage.setItem('mdbook-sidebar', 'visible'); } catch (e) { } + } + + function hideSidebar() { + body.classList.remove('sidebar-visible') + body.classList.add('sidebar-hidden'); + Array.from(sidebarLinks).forEach(function (link) { + link.setAttribute('tabIndex', -1); + }); + sidebarToggleButton.setAttribute('aria-expanded', false); + sidebar.setAttribute('aria-hidden', true); + try { localStorage.setItem('mdbook-sidebar', 'hidden'); } catch (e) { } + } + + // Toggle sidebar + sidebarToggleButton.addEventListener('click', function sidebarToggle() { + if (body.classList.contains("sidebar-hidden")) { + var current_width = parseInt( + document.documentElement.style.getPropertyValue('--sidebar-width'), 10); + if (current_width < 150) { + document.documentElement.style.setProperty('--sidebar-width', '150px'); + } + showSidebar(); + } else if (body.classList.contains("sidebar-visible")) { + hideSidebar(); + } else { + if (getComputedStyle(sidebar)['transform'] === 'none') { + hideSidebar(); + } else { + showSidebar(); + } + } + }); + + sidebarResizeHandle.addEventListener('mousedown', initResize, false); + + function initResize(e) { + window.addEventListener('mousemove', resize, false); + window.addEventListener('mouseup', stopResize, false); + body.classList.add('sidebar-resizing'); + } + function resize(e) { + var pos = (e.clientX - sidebar.offsetLeft); + if (pos < 20) { + hideSidebar(); + } else { + if (body.classList.contains("sidebar-hidden")) { + showSidebar(); 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+})(); + +(function chapterNavigation() { + document.addEventListener('keydown', function (e) { + if (e.altKey || e.ctrlKey || e.metaKey || e.shiftKey) { return; } + if (window.search && window.search.hasFocus()) { return; } + var html = document.querySelector('html'); + + function next() { + var nextButton = document.querySelector('.nav-chapters.next'); + if (nextButton) { + window.location.href = nextButton.href; + } + } + function prev() { + var previousButton = document.querySelector('.nav-chapters.previous'); + if (previousButton) { + window.location.href = previousButton.href; + } + } + switch (e.key) { + case 'ArrowRight': + e.preventDefault(); + if (html.dir == 'rtl') { + prev(); + } else { + next(); + } + break; + case 'ArrowLeft': + e.preventDefault(); + if (html.dir == 'rtl') { + next(); + } else { + prev(); + } + break; + } + }); +})(); + +(function clipboard() { + var clipButtons = document.querySelectorAll('.clip-button'); + + function hideTooltip(elem) { + elem.firstChild.innerText = ""; + elem.className = 'clip-button'; + } + + function showTooltip(elem, msg) { + elem.firstChild.innerText = msg; + elem.className = 'clip-button tooltipped'; + } + + var clipboardSnippets = new ClipboardJS('.clip-button', { + text: function (trigger) { + hideTooltip(trigger); + let playground = trigger.closest("pre"); + return playground_text(playground, false); + } + }); + + Array.from(clipButtons).forEach(function (clipButton) { + clipButton.addEventListener('mouseout', function (e) { + hideTooltip(e.currentTarget); + }); + }); + + clipboardSnippets.on('success', function (e) { + e.clearSelection(); + showTooltip(e.trigger, "Copied!"); + }); + + clipboardSnippets.on('error', function (e) { + showTooltip(e.trigger, "Clipboard error!"); + }); +})(); + +(function scrollToTop () { + var menuTitle = document.querySelector('.menu-title'); + + menuTitle.addEventListener('click', function () { + document.scrollingElement.scrollTo({ top: 0, behavior: 'smooth' }); + }); +})(); + +(function controllMenu() { + var menu = document.getElementById('menu-bar'); + + (function controllPosition() { + var scrollTop = document.scrollingElement.scrollTop; + var prevScrollTop = scrollTop; + var minMenuY = -menu.clientHeight - 50; + // When the script loads, the page can be at any scroll (e.g. if you reforesh it). + menu.style.top = scrollTop + 'px'; + // Same as parseInt(menu.style.top.slice(0, -2), but faster + var topCache = menu.style.top.slice(0, -2); + menu.classList.remove('sticky'); + var stickyCache = false; // Same as menu.classList.contains('sticky'), but faster + document.addEventListener('scroll', function () { + scrollTop = Math.max(document.scrollingElement.scrollTop, 0); + // `null` means that it doesn't need to be updated + var nextSticky = null; + var nextTop = null; + var scrollDown = scrollTop > prevScrollTop; + var menuPosAbsoluteY = topCache - scrollTop; + if (scrollDown) { + nextSticky = false; + if (menuPosAbsoluteY > 0) { + nextTop = prevScrollTop; + } + } else { + if (menuPosAbsoluteY > 0) { + nextSticky = true; + } else if (menuPosAbsoluteY < minMenuY) { + nextTop = prevScrollTop + minMenuY; + } + } + if (nextSticky === true && stickyCache === false) { + menu.classList.add('sticky'); + stickyCache = true; + } else if (nextSticky === false && stickyCache === true) { + menu.classList.remove('sticky'); + stickyCache = false; + } + if (nextTop !== null) { + menu.style.top = nextTop + 'px'; + topCache = nextTop; + } + prevScrollTop = scrollTop; + }, { passive: true }); + })(); + (function controllBorder() { + function updateBorder() { + if (menu.offsetTop === 0) { + menu.classList.remove('bordered'); + } else { + menu.classList.add('bordered'); + } + } + updateBorder(); + document.addEventListener('scroll', updateBorder, { passive: true }); + })(); +})(); diff --git a/cli/.gitignore b/cli/.gitignore new file mode 100644 index 0000000000..42061c01a1 --- /dev/null +++ b/cli/.gitignore @@ -0,0 +1 @@ +README.md \ No newline at end of file diff --git a/cli/index.html b/cli/index.html new file mode 100644 index 0000000000..2d193737e6 --- /dev/null +++ b/cli/index.html @@ -0,0 +1,508 @@ + + + + + + CLI - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Command-Line Help for powdr

+

This document contains the help content for the powdr command-line program.

+

Command Overview:

+ +

powdr

+

powdr CLI to compile powdr-asm and powdr-pil programs

+

Usage: powdr [OPTIONS] [COMMAND]

+
Subcommands:
+
    +
  • pil — Runs compilation and witness generation for .pil and .asm files. First converts .asm files to .pil, if needed. Then converts the .pil file to json and generates fixed and witness column data files
    • +
  • prove —
    • +
  • verify —
    • +
  • verification-key —
    • +
  • export-verifier —
    • +
  • setup —
    • +
  • reformat — Parses and prints the PIL file on stdout
    • +
  • optimize-pil — Optimizes the PIL file and outputs it on stdout
    • +
  • test — Executes all functions starting with test_ in every module called test (or sub-module thereof) starting from the given module
    • +
+
Options:
+
    +
  • +

    --log-level <LOG_LEVEL> — Set log filter value [ off, error, warn, info, debug, trace ]

    +

    Default value: INFO

    +
    • +
+

powdr pil

+

Runs compilation and witness generation for .pil and .asm files. First converts .asm files to .pil, if needed. Then converts the .pil file to json and generates fixed and witness column data files

+

Usage: powdr pil [OPTIONS] <FILE>

+
Arguments:
+
    +
  • <FILE> — Input file
    • +
+
Options:
+
    +
  • +

    --field <FIELD> — The field to use

    +

    Default value: gl

    +

    Possible values: bb, kb, m31, gl, bn254

    +
    • +
  • +

    -o, --output-directory <OUTPUT_DIRECTORY> — Output directory for the PIL file, json file and fixed and witness column data

    +

    Default value: .

    +
    • +
  • +

    -w, --witness-values <WITNESS_VALUES> — Path to a CSV file containing externally computed witness values

    +
    • +
  • +

    -i, --inputs <INPUTS> — Comma-separated list of free inputs (numbers)

    +

    Default value: ``

    +
    • +
  • +

    -f, --force — Force overwriting of PIL output file

    +

    Default value: false

    +
    • +
  • +

    --pilo — Whether to output the pilo PIL object

    +

    Default value: false

    +
    • +
  • +

    -p, --prove-with <PROVE_WITH> — Generate a proof with a given backend

    +

    Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite

    +
    • +
  • +

    --params <PARAMS> — File containing previously generated setup parameters

    +
    • +
  • +

    --backend-options <BACKEND_OPTIONS> — Backend options. Halo2: "poseidon", "snark_single" or "snark_aggr". EStark and PilStarkCLI: "stark_gl", "stark_bn" or "snark_bn"

    +
    • +
  • +

    --linker-mode <LINKER_MODE> — Linker mode, deciding how to reduce links to constraints

    +

    Possible values: native, bus

    +
    • +
  • +

    --degree-mode <DEGREE_MODE> — Degree mode, deciding whether to use a single monolithic table or a set of dynamically sized tables

    +
    • +
  • +

    --export-witness-csv — Generate a CSV file containing the witness column values

    +

    Default value: false

    +
    • +
  • +

    --export-all-columns-csv — Generate a CSV file containing all fixed and witness column values. Useful for debugging purposes

    +

    Default value: false

    +
    • +
  • +

    --csv-mode <CSV_MODE> — How to render field elements in the csv file

    +

    Default value: hex

    +

    Possible values: i, ui, hex

    +
    • +
+

powdr prove

+

Usage: powdr prove [OPTIONS] --backend <BACKEND> <FILE>

+
Arguments:
+
    +
  • <FILE> — Input PIL file
    • +
+
Options:
+
    +
  • +

    -d, --dir <DIR> — Directory to find the committed and fixed values

    +

    Default value: .

    +
    • +
  • +

    --field <FIELD> — The field to use

    +

    Default value: gl

    +

    Possible values: bb, kb, m31, gl, bn254

    +
    • +
  • +

    -b, --backend <BACKEND> — Generate a proof with a given backend

    +

    Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite

    +
    • +
  • +

    --backend-options <BACKEND_OPTIONS> — Backend options. Halo2: "poseidon", "snark_single" or "snark_aggr". EStark and PilStarkCLI: "stark_gl", "stark_bn" or "snark_bn"

    +
    • +
  • +

    --proof <PROOF> — File containing previously generated proof for aggregation

    +
    • +
  • +

    --vkey <VKEY> — File containing previously generated verification key

    +
    • +
  • +

    --vkey-app <VKEY_APP> — File containing the verification key of a proof to be verified recursively

    +
    • +
  • +

    --params <PARAMS> — File containing previously generated setup parameters

    +
    • +
+

powdr verify

+

Usage: powdr verify [OPTIONS] --backend <BACKEND> --proof <PROOF> --vkey <VKEY> <FILE>

+
Arguments:
+
    +
  • <FILE> — Input PIL file
    • +
+
Options:
+
    +
  • +

    -d, --dir <DIR> — Directory to find the fixed values

    +

    Default value: .

    +
    • +
  • +

    --field <FIELD> — The field to use

    +

    Default value: gl

    +

    Possible values: bb, kb, m31, gl, bn254

    +
    • +
  • +

    -b, --backend <BACKEND> — Generate a proof with a given backend

    +

    Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite

    +
    • +
  • +

    --backend-options <BACKEND_OPTIONS> — Backend options. Halo2: "poseidon", "snark_single" or "snark_aggr". EStark and PilStarkCLI: "stark_gl", "stark_bn" or "snark_bn"

    +
    • +
  • +

    --proof <PROOF> — File containing the proof

    +
    • +
  • +

    --publics <PUBLICS> — Comma-separated list of public inputs (numbers)

    +

    Default value: ``

    +
    • +
  • +

    --vkey <VKEY> — File containing the verification key

    +
    • +
  • +

    --params <PARAMS> — File containing the params

    +
    • +
+

powdr verification-key

+

Usage: powdr verification-key [OPTIONS] --backend <BACKEND> <FILE>

+
Arguments:
+
    +
  • <FILE> — Input PIL file
    • +
+
Options:
+
    +
  • +

    -d, --dir <DIR> — Directory to find the fixed values

    +

    Default value: .

    +
    • +
  • +

    --field <FIELD> — The field to use

    +

    Default value: gl

    +

    Possible values: bb, kb, m31, gl, bn254

    +
    • +
  • +

    -b, --backend <BACKEND> — Chosen backend

    +

    Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite

    +
    • +
  • +

    --backend-options <BACKEND_OPTIONS> — Backend options. Halo2: "poseidon", "snark_single" or "snark_aggr". EStark and PilStarkCLI: "stark_gl", "stark_bn" or "snark_bn"

    +
    • +
  • +

    --params <PARAMS> — File containing previously generated setup parameters. This will be needed for SNARK verification keys but not for STARK

    +
    • +
  • +

    --vkey-app <VKEY_APP> — File containing the verification key of a proof to be verified recursively

    +
    • +
+

powdr export-verifier

+

Usage: powdr export-verifier [OPTIONS] --backend <BACKEND> <FILE>

+
Arguments:
+
    +
  • <FILE> — Input PIL file
    • +
+
Options:
+
    +
  • +

    -d, --dir <DIR> — Directory to find the fixed values

    +

    Default value: .

    +
    • +
  • +

    --field <FIELD> — The field to use

    +

    Default value: gl

    +

    Possible values: bb, kb, m31, gl, bn254

    +
    • +
  • +

    -b, --backend <BACKEND> — Chosen backend

    +

    Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite

    +
    • +
  • +

    --backend-options <BACKEND_OPTIONS> — Backend options. Halo2: "poseidon", "snark_single" or "snark_aggr". EStark and PilStarkCLI: "stark_gl", "stark_bn" or "snark_bn"

    +
    • +
  • +

    --params <PARAMS> — File containing previously generated setup parameters. This will be needed for SNARK verification keys but not for STARK

    +
    • +
  • +

    --vkey <VKEY> — File containing previously generated verification key

    +
    • +
+

powdr setup

+

Usage: powdr setup [OPTIONS] --backend <BACKEND> <SIZE>

+
Arguments:
+
    +
  • <SIZE> — Size of the parameters
    • +
+
Options:
+
    +
  • +

    -d, --dir <DIR> — Directory to output the generated parameters

    +

    Default value: .

    +
    • +
  • +

    --field <FIELD> — The field to use

    +

    Default value: gl

    +

    Possible values: bb, kb, m31, gl, bn254

    +
    • +
  • +

    -b, --backend <BACKEND> — Generate a proof with a given backend

    +

    Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite

    +
    • +
+

powdr reformat

+

Parses and prints the PIL file on stdout

+

Usage: powdr reformat <FILE>

+
Arguments:
+
    +
  • <FILE> — Input file
    • +
+

powdr optimize-pil

+

Optimizes the PIL file and outputs it on stdout

+

Usage: powdr optimize-pil [OPTIONS] <FILE>

+
Arguments:
+
    +
  • <FILE> — Input file
    • +
+
Options:
+
    +
  • +

    --field <FIELD> — The field to use

    +

    Default value: gl

    +

    Possible values: bb, kb, m31, gl, bn254

    +
    • +
+

powdr test

+

Executes all functions starting with test_ in every module called test (or sub-module thereof) starting from the given module

+

Usage: powdr test [OPTIONS] <FILE>

+
Arguments:
+
    +
  • <FILE> — Input file
    • +
+
Options:
+
    +
  • +

    --field <FIELD> — The field to use

    +

    Default value: gl

    +

    Possible values: bb, kb, m31, gl, bn254

    +
    • +
+
+

+This document was generated automatically by +clap-markdown. +

+ +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
+ + diff --git a/clipboard.min.js b/clipboard.min.js new file mode 100644 index 0000000000..02c549e35c --- /dev/null +++ b/clipboard.min.js @@ -0,0 +1,7 @@ +/*! + * clipboard.js v2.0.4 + * https://zenorocha.github.io/clipboard.js + * + * Licensed MIT © Zeno Rocha + */ +!function(t,e){"object"==typeof exports&&"object"==typeof module?module.exports=e():"function"==typeof define&&define.amd?define([],e):"object"==typeof exports?exports.ClipboardJS=e():t.ClipboardJS=e()}(this,function(){return function(n){var o={};function r(t){if(o[t])return o[t].exports;var e=o[t]={i:t,l:!1,exports:{}};return n[t].call(e.exports,e,e.exports,r),e.l=!0,e.exports}return r.m=n,r.c=o,r.d=function(t,e,n){r.o(t,e)||Object.defineProperty(t,e,{enumerable:!0,get:n})},r.r=function(t){"undefined"!=typeof Symbol&&Symbol.toStringTag&&Object.defineProperty(t,Symbol.toStringTag,{value:"Module"}),Object.defineProperty(t,"__esModule",{value:!0})},r.t=function(e,t){if(1&t&&(e=r(e)),8&t)return e;if(4&t&&"object"==typeof e&&e&&e.__esModule)return e;var n=Object.create(null);if(r.r(n),Object.defineProperty(n,"default",{enumerable:!0,value:e}),2&t&&"string"!=typeof e)for(var o in e)r.d(n,o,function(t){return e[t]}.bind(null,o));return n},r.n=function(t){var e=t&&t.__esModule?function(){return t.default}:function(){return t};return r.d(e,"a",e),e},r.o=function(t,e){return Object.prototype.hasOwnProperty.call(t,e)},r.p="",r(r.s=0)}([function(t,e,n){"use strict";var r="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(t){return typeof t}:function(t){return t&&"function"==typeof Symbol&&t.constructor===Symbol&&t!==Symbol.prototype?"symbol":typeof t},i=function(){function o(t,e){for(var n=0;n .hljs { + color: var(--links); +} + +/* + body-container is necessary because mobile browsers don't seem to like + overflow-x on the body tag when there is a tag. +*/ +#body-container { + /* + This is used when the sidebar pushes the body content off the side of + the screen on small screens. Without it, dragging on mobile Safari + will want to reposition the viewport in a weird way. + */ + overflow-x: clip; +} + +/* Menu Bar */ + +#menu-bar, +#menu-bar-hover-placeholder { + z-index: 101; + margin: auto calc(0px - var(--page-padding)); +} +#menu-bar { + position: relative; + display: flex; + flex-wrap: wrap; + background-color: var(--bg); + border-block-end-color: var(--bg); + border-block-end-width: 1px; + border-block-end-style: solid; +} +#menu-bar.sticky, +#menu-bar-hover-placeholder:hover + #menu-bar, +#menu-bar:hover, +html.sidebar-visible #menu-bar { + position: -webkit-sticky; + position: sticky; + top: 0 !important; +} +#menu-bar-hover-placeholder { + position: sticky; + position: -webkit-sticky; + top: 0; + height: var(--menu-bar-height); +} +#menu-bar.bordered { + border-block-end-color: var(--table-border-color); +} +#menu-bar i, #menu-bar .icon-button { + position: relative; + padding: 0 8px; + z-index: 10; + line-height: var(--menu-bar-height); + cursor: pointer; + transition: color 0.5s; +} +@media only screen and (max-width: 420px) { + #menu-bar i, #menu-bar .icon-button { + padding: 0 5px; + } +} + +.icon-button { + border: none; + background: none; + padding: 0; + color: inherit; +} +.icon-button i { + margin: 0; +} + +.right-buttons { + margin: 0 15px; +} +.right-buttons a { + text-decoration: none; +} + +.left-buttons { + display: flex; + margin: 0 5px; +} +html:not(.js) .left-buttons button { + display: none; +} + +.menu-title { + display: inline-block; + font-weight: 200; + font-size: 2.4rem; + line-height: var(--menu-bar-height); + text-align: center; + margin: 0; + flex: 1; + white-space: nowrap; + overflow: hidden; + text-overflow: ellipsis; +} +.menu-title { + cursor: pointer; +} + +.menu-bar, +.menu-bar:visited, +.nav-chapters, +.nav-chapters:visited, +.mobile-nav-chapters, +.mobile-nav-chapters:visited, +.menu-bar .icon-button, +.menu-bar a i { + color: var(--icons); +} + +.menu-bar i:hover, +.menu-bar .icon-button:hover, +.nav-chapters:hover, +.mobile-nav-chapters i:hover { + color: var(--icons-hover); +} + +/* Nav Icons */ + +.nav-chapters { + font-size: 2.5em; + text-align: center; + text-decoration: none; + + position: fixed; + top: 0; + bottom: 0; + margin: 0; + max-width: 150px; + min-width: 90px; + + display: flex; + justify-content: center; + align-content: center; + flex-direction: column; + + transition: color 0.5s, background-color 0.5s; +} + +.nav-chapters:hover { + text-decoration: none; + background-color: var(--theme-hover); + transition: background-color 0.15s, color 0.15s; +} + +.nav-wrapper { + margin-block-start: 50px; + display: none; +} + +.mobile-nav-chapters { + font-size: 2.5em; + text-align: center; + text-decoration: none; + width: 90px; + border-radius: 5px; + background-color: var(--sidebar-bg); +} + +/* Only Firefox supports flow-relative values */ +.previous { float: left; } +[dir=rtl] .previous { float: right; } + +/* Only Firefox supports flow-relative values */ +.next { + float: right; + right: var(--page-padding); +} +[dir=rtl] .next { + float: left; + right: unset; + left: var(--page-padding); +} + +/* Use the correct buttons for RTL layouts*/ +[dir=rtl] .previous i.fa-angle-left:before {content:"\f105";} +[dir=rtl] .next i.fa-angle-right:before { content:"\f104"; } + +@media only screen and (max-width: 1080px) { + .nav-wide-wrapper { display: none; } + .nav-wrapper { display: block; } +} + +/* sidebar-visible */ +@media only screen and (max-width: 1380px) { + #sidebar-toggle-anchor:checked ~ .page-wrapper .nav-wide-wrapper { display: none; } + #sidebar-toggle-anchor:checked ~ .page-wrapper .nav-wrapper { display: block; } +} + +/* Inline code */ + +:not(pre) > .hljs { + display: inline; + padding: 0.1em 0.3em; + border-radius: 3px; +} + +:not(pre):not(a) > .hljs { + color: var(--inline-code-color); + overflow-x: initial; +} + +a:hover > .hljs { + text-decoration: underline; +} + +pre { + position: relative; +} +pre > .buttons { + position: absolute; + z-index: 100; + right: 0px; + top: 2px; + margin: 0px; + padding: 2px 0px; + + color: var(--sidebar-fg); + cursor: pointer; + visibility: hidden; + opacity: 0; + transition: visibility 0.1s linear, opacity 0.1s linear; +} +pre:hover > .buttons { + visibility: visible; + opacity: 1 +} +pre > .buttons :hover { + color: var(--sidebar-active); + border-color: var(--icons-hover); + background-color: var(--theme-hover); +} +pre > .buttons i { + margin-inline-start: 8px; +} +pre > .buttons button { + cursor: inherit; + margin: 0px 5px; + padding: 4px 4px 3px 5px; + font-size: 23px; + + border-style: solid; + border-width: 1px; + border-radius: 4px; + border-color: var(--icons); + background-color: var(--theme-popup-bg); + transition: 100ms; + transition-property: color,border-color,background-color; + color: var(--icons); +} + +pre > .buttons button.clip-button { + padding: 2px 4px 0px 6px; +} +pre > .buttons button.clip-button::before { + /* clipboard image from octicons (https://github.com/primer/octicons/tree/v2.0.0) MIT license + */ + content: url('data:image/svg+xml,\ +\ +\ +'); + filter: var(--copy-button-filter); +} +pre > .buttons button.clip-button:hover::before { + filter: var(--copy-button-filter-hover); +} + +@media (pointer: coarse) { + pre > .buttons button { + /* On mobile, make it easier to tap buttons. */ + padding: 0.3rem 1rem; + } + + .sidebar-resize-indicator { + /* Hide resize indicator on devices with limited accuracy */ + display: none; + } +} +pre > code { + display: block; + padding: 1rem; +} + +/* FIXME: ACE editors overlap their buttons because ACE does absolute + positioning within the code block which breaks padding. The only solution I + can think of is to move the padding to the outer pre tag (or insert a div + wrapper), but that would require fixing a whole bunch of CSS rules. +*/ +.hljs.ace_editor { + padding: 0rem 0rem; +} + +pre > .result { + margin-block-start: 10px; +} + +/* Search */ + +#searchresults a { + text-decoration: none; +} + +mark { + border-radius: 2px; + padding-block-start: 0; + padding-block-end: 1px; + padding-inline-start: 3px; + padding-inline-end: 3px; + margin-block-start: 0; + margin-block-end: -1px; + margin-inline-start: -3px; + margin-inline-end: -3px; + background-color: var(--search-mark-bg); + transition: background-color 300ms linear; + cursor: pointer; +} + +mark.fade-out { + background-color: rgba(0,0,0,0) !important; + cursor: auto; +} + +.searchbar-outer { + margin-inline-start: auto; + margin-inline-end: auto; + max-width: var(--content-max-width); +} + +#searchbar { + width: 100%; + margin-block-start: 5px; + margin-block-end: 0; + margin-inline-start: auto; + margin-inline-end: auto; + padding: 10px 16px; + transition: box-shadow 300ms ease-in-out; + border: 1px solid var(--searchbar-border-color); + border-radius: 3px; + background-color: var(--searchbar-bg); + color: var(--searchbar-fg); +} +#searchbar:focus, +#searchbar.active { + box-shadow: 0 0 3px var(--searchbar-shadow-color); +} + +.searchresults-header { + font-weight: bold; + font-size: 1em; + padding-block-start: 18px; + padding-block-end: 0; + padding-inline-start: 5px; + padding-inline-end: 0; + color: var(--searchresults-header-fg); +} + +.searchresults-outer { + margin-inline-start: auto; + margin-inline-end: auto; + max-width: var(--content-max-width); + border-block-end: 1px dashed var(--searchresults-border-color); +} + +ul#searchresults { + list-style: none; + padding-inline-start: 20px; +} +ul#searchresults li { + margin: 10px 0px; + padding: 2px; + border-radius: 2px; +} +ul#searchresults li.focus { + background-color: var(--searchresults-li-bg); +} +ul#searchresults span.teaser { + display: block; + clear: both; + margin-block-start: 5px; + margin-block-end: 0; + margin-inline-start: 20px; + margin-inline-end: 0; + font-size: 0.8em; +} +ul#searchresults span.teaser em { + font-weight: bold; + font-style: normal; +} + +/* Sidebar */ + +.sidebar { + position: fixed; + left: 0; + top: 0; + bottom: 0; + width: var(--sidebar-width); + font-size: 0.875em; + box-sizing: border-box; + -webkit-overflow-scrolling: touch; + overscroll-behavior-y: contain; + background-color: var(--sidebar-bg); + color: var(--sidebar-fg); +} +.sidebar-iframe-inner { + background-color: var(--sidebar-bg); + color: var(--sidebar-fg); + padding: 10px 10px; + margin: 0; + font-size: 1.4rem; +} +.sidebar-iframe-outer { + border: none; + height: 100%; + position: absolute; + top: 0; + bottom: 0; + left: 0; + right: 0; +} +[dir=rtl] .sidebar { left: unset; right: 0; } +.sidebar-resizing { + -moz-user-select: none; + -webkit-user-select: none; + -ms-user-select: none; + user-select: none; +} +html:not(.sidebar-resizing) .sidebar { + transition: transform 0.3s; /* Animation: slide away */ +} +.sidebar code { + line-height: 2em; +} +.sidebar .sidebar-scrollbox { + overflow-y: auto; + position: absolute; + top: 0; + bottom: 0; + left: 0; + right: 0; + padding: 10px 10px; +} +.sidebar .sidebar-resize-handle { + position: absolute; + cursor: col-resize; + width: 0; + right: calc(var(--sidebar-resize-indicator-width) * -1); + top: 0; + bottom: 0; + display: flex; + align-items: center; +} + +.sidebar-resize-handle .sidebar-resize-indicator { + width: 100%; + height: 12px; + background-color: var(--icons); + margin-inline-start: var(--sidebar-resize-indicator-space); +} + +[dir=rtl] .sidebar .sidebar-resize-handle { + left: calc(var(--sidebar-resize-indicator-width) * -1); + right: unset; +} +.js .sidebar .sidebar-resize-handle { + cursor: col-resize; + width: calc(var(--sidebar-resize-indicator-width) - var(--sidebar-resize-indicator-space)); +} +/* sidebar-hidden */ +#sidebar-toggle-anchor:not(:checked) ~ .sidebar { + transform: translateX(calc(0px - var(--sidebar-width) - var(--sidebar-resize-indicator-width))); + z-index: -1; +} +[dir=rtl] #sidebar-toggle-anchor:not(:checked) ~ .sidebar { + transform: translateX(calc(var(--sidebar-width) + var(--sidebar-resize-indicator-width))); +} +.sidebar::-webkit-scrollbar { + background: var(--sidebar-bg); +} +.sidebar::-webkit-scrollbar-thumb { + background: var(--scrollbar); +} + +/* sidebar-visible */ +#sidebar-toggle-anchor:checked ~ .page-wrapper { + transform: translateX(calc(var(--sidebar-width) + var(--sidebar-resize-indicator-width))); +} +[dir=rtl] #sidebar-toggle-anchor:checked ~ .page-wrapper { + transform: translateX(calc(0px - var(--sidebar-width) - var(--sidebar-resize-indicator-width))); +} +@media only screen and (min-width: 620px) { + #sidebar-toggle-anchor:checked ~ .page-wrapper { + transform: none; + margin-inline-start: calc(var(--sidebar-width) + var(--sidebar-resize-indicator-width)); + } + [dir=rtl] #sidebar-toggle-anchor:checked ~ .page-wrapper { + transform: none; + } +} + +.chapter { + list-style: none outside none; + padding-inline-start: 0; + line-height: 2.2em; +} + +.chapter ol { + width: 100%; +} + +.chapter li { + display: flex; + color: var(--sidebar-non-existant); +} +.chapter li a { + display: block; + padding: 0; + text-decoration: none; + color: var(--sidebar-fg); +} + +.chapter li a:hover { + color: var(--sidebar-active); +} + +.chapter li a.active { + color: var(--sidebar-active); +} + +.chapter li > a.toggle { + cursor: pointer; + display: block; + margin-inline-start: auto; + padding: 0 10px; + user-select: none; + opacity: 0.68; +} + +.chapter li > a.toggle div { + transition: transform 0.5s; +} + +/* collapse the section */ +.chapter li:not(.expanded) + li > ol { + display: none; +} + +.chapter li.chapter-item { + line-height: 1.5em; + margin-block-start: 0.6em; +} + +.chapter li.expanded > a.toggle div { + transform: rotate(90deg); +} + +.spacer { + width: 100%; + height: 3px; + margin: 5px 0px; +} +.chapter .spacer { + background-color: var(--sidebar-spacer); +} + +@media (-moz-touch-enabled: 1), (pointer: coarse) { + .chapter li a { padding: 5px 0; } + .spacer { margin: 10px 0; } +} + +.section { + list-style: none outside none; + padding-inline-start: 20px; + line-height: 1.9em; +} + +/* Theme Menu Popup */ + +.theme-popup { + position: absolute; + left: 10px; + top: var(--menu-bar-height); + z-index: 1000; + border-radius: 4px; + font-size: 0.7em; + color: var(--fg); + background: var(--theme-popup-bg); + border: 1px solid var(--theme-popup-border); + margin: 0; + padding: 0; + list-style: none; + display: none; + /* Don't let the children's background extend past the rounded corners. */ + overflow: hidden; +} +[dir=rtl] .theme-popup { left: unset; right: 10px; } +.theme-popup .default { + color: var(--icons); +} +.theme-popup .theme { + width: 100%; + border: 0; + margin: 0; + padding: 2px 20px; + line-height: 25px; + white-space: nowrap; + text-align: start; + cursor: pointer; + color: inherit; + background: inherit; + font-size: inherit; +} +.theme-popup .theme:hover { + background-color: var(--theme-hover); +} + +.theme-selected::before { + display: inline-block; + content: "✓"; + margin-inline-start: -14px; + width: 14px; +} diff --git a/css/general.css b/css/general.css new file mode 100644 index 0000000000..0862b51673 --- /dev/null +++ b/css/general.css @@ -0,0 +1,242 @@ +/* Base styles and content styles */ + +:root { + /* Browser default font-size is 16px, this way 1 rem = 10px */ + font-size: 62.5%; + color-scheme: var(--color-scheme); +} + +html { + font-family: "Open Sans", sans-serif; + color: var(--fg); + background-color: var(--bg); + text-size-adjust: none; + -webkit-text-size-adjust: none; +} + +body { + margin: 0; + font-size: 1.6rem; + overflow-x: hidden; +} + +code { + font-family: var(--mono-font) !important; + font-size: var(--code-font-size); + direction: ltr !important; +} + +/* make long words/inline code not x overflow */ +main { + overflow-wrap: break-word; +} + +/* make wide tables scroll if they overflow */ +.table-wrapper { + overflow-x: auto; +} + +/* Don't change font size in headers. */ +h1 code, h2 code, h3 code, h4 code, h5 code, h6 code { + font-size: unset; +} + +.left { float: left; } +.right { float: right; } +.boring { opacity: 0.6; } +.hide-boring .boring { display: none; } +.hidden { display: none !important; } + +h2, h3 { margin-block-start: 2.5em; } +h4, h5 { margin-block-start: 2em; } + +.header + .header h3, +.header + .header h4, +.header + .header h5 { + margin-block-start: 1em; +} + +h1:target::before, +h2:target::before, +h3:target::before, +h4:target::before, +h5:target::before, +h6:target::before { + display: inline-block; + content: "»"; + margin-inline-start: -30px; + width: 30px; +} + +/* This is broken on Safari as of version 14, but is fixed + in Safari Technology Preview 117 which I think will be Safari 14.2. + https://bugs.webkit.org/show_bug.cgi?id=218076 +*/ +:target { + /* Safari does not support logical properties */ + scroll-margin-top: calc(var(--menu-bar-height) + 0.5em); +} + +.page { + outline: 0; + padding: 0 var(--page-padding); + margin-block-start: calc(0px - var(--menu-bar-height)); /* Compensate for the #menu-bar-hover-placeholder */ +} +.page-wrapper { + box-sizing: border-box; + background-color: var(--bg); +} +.no-js .page-wrapper, +.js:not(.sidebar-resizing) .page-wrapper { + transition: margin-left 0.3s ease, transform 0.3s ease; /* Animation: slide away */ +} +[dir=rtl] .js:not(.sidebar-resizing) .page-wrapper { + transition: margin-right 0.3s ease, transform 0.3s ease; /* Animation: slide away */ +} + +.content { + overflow-y: auto; + padding: 0 5px 50px 5px; +} +.content main { + margin-inline-start: auto; + margin-inline-end: auto; + max-width: var(--content-max-width); +} +.content p { line-height: 1.45em; } +.content ol { line-height: 1.45em; } +.content ul { line-height: 1.45em; } +.content a { text-decoration: none; } +.content a:hover { text-decoration: underline; } +.content img, .content video { max-width: 100%; } +.content .header:link, +.content .header:visited { + color: var(--fg); +} +.content .header:link, +.content .header:visited:hover { + text-decoration: none; +} + +table { + margin: 0 auto; + border-collapse: collapse; +} +table td { + padding: 3px 20px; + border: 1px var(--table-border-color) solid; +} +table thead { + background: var(--table-header-bg); +} +table thead td { + font-weight: 700; + border: none; +} +table thead th { + padding: 3px 20px; +} +table thead tr { + border: 1px var(--table-header-bg) solid; +} +/* Alternate background colors for rows */ +table tbody tr:nth-child(2n) { + background: var(--table-alternate-bg); +} + + +blockquote { + margin: 20px 0; + padding: 0 20px; + color: var(--fg); + background-color: var(--quote-bg); + border-block-start: .1em solid var(--quote-border); + border-block-end: .1em solid var(--quote-border); +} + +.warning { + margin: 20px; + padding: 0 20px; + border-inline-start: 2px solid var(--warning-border); +} + +.warning:before { + position: absolute; + width: 3rem; + height: 3rem; + margin-inline-start: calc(-1.5rem - 21px); + content: "ⓘ"; + text-align: center; + background-color: var(--bg); + color: var(--warning-border); + font-weight: bold; + font-size: 2rem; +} + +blockquote .warning:before { + background-color: var(--quote-bg); +} + +kbd { + background-color: var(--table-border-color); + border-radius: 4px; + border: solid 1px var(--theme-popup-border); + box-shadow: inset 0 -1px 0 var(--theme-hover); + display: inline-block; + font-size: var(--code-font-size); + font-family: var(--mono-font); + line-height: 10px; + padding: 4px 5px; + vertical-align: middle; +} + +sup { + /* Set the line-height for superscript and footnote references so that there + isn't an awkward space appearing above lines that contain the footnote. + + See https://github.com/rust-lang/mdBook/pull/2443#discussion_r1813773583 + for an explanation. + */ + line-height: 0; +} + +:not(.footnote-definition) + .footnote-definition, +.footnote-definition + :not(.footnote-definition) { + margin-block-start: 2em; +} +.footnote-definition { + font-size: 0.9em; + margin: 0.5em 0; +} +.footnote-definition p { + display: inline; +} + +.tooltiptext { + position: absolute; + visibility: hidden; + color: #fff; + background-color: #333; + transform: translateX(-50%); /* Center by moving tooltip 50% of its width left */ + left: -8px; /* Half of the width of the icon */ + top: -35px; + font-size: 0.8em; + text-align: center; + border-radius: 6px; + padding: 5px 8px; + margin: 5px; + z-index: 1000; +} +.tooltipped .tooltiptext { + visibility: visible; +} + +.chapter li.part-title { + color: var(--sidebar-fg); + margin: 5px 0px; + font-weight: bold; +} + +.result-no-output { + font-style: italic; +} diff --git a/css/print.css b/css/print.css new file mode 100644 index 0000000000..80ec3a5441 --- /dev/null +++ b/css/print.css @@ -0,0 +1,50 @@ + +#sidebar, +#menu-bar, +.nav-chapters, +.mobile-nav-chapters { + display: none; +} + +#page-wrapper.page-wrapper { + transform: none !important; + margin-inline-start: 0px; + overflow-y: initial; +} + +#content { + max-width: none; + margin: 0; + padding: 0; +} + +.page { + overflow-y: initial; +} + +code { + direction: ltr !important; +} + +pre > .buttons { + z-index: 2; +} + +a, a:visited, a:active, a:hover { + color: #4183c4; + text-decoration: none; +} + +h1, h2, h3, h4, h5, h6 { + page-break-inside: avoid; + page-break-after: avoid; +} + +pre, code { + page-break-inside: avoid; + white-space: pre-wrap; +} + +.fa { + display: none !important; +} diff --git a/css/variables.css b/css/variables.css new file mode 100644 index 0000000000..12d1db7a33 --- /dev/null +++ b/css/variables.css @@ -0,0 +1,309 @@ + +/* Globals */ + +:root { + --sidebar-width: 300px; + --sidebar-resize-indicator-width: 8px; + --sidebar-resize-indicator-space: 2px; + --page-padding: 15px; + --content-max-width: 750px; + --menu-bar-height: 50px; + --mono-font: "Source Code Pro", Consolas, "Ubuntu Mono", Menlo, "DejaVu Sans Mono", monospace, monospace; + --code-font-size: 0.875em /* please adjust the ace font size accordingly in editor.js */ +} + +/* Themes */ + +.ayu { + --bg: hsl(210, 25%, 8%); + --fg: #c5c5c5; + + --sidebar-bg: #14191f; + --sidebar-fg: #c8c9db; + --sidebar-non-existant: #5c6773; + --sidebar-active: #ffb454; + --sidebar-spacer: #2d334f; + + --scrollbar: var(--sidebar-fg); + + --icons: #737480; + --icons-hover: #b7b9cc; + + --links: #0096cf; + + --inline-code-color: #ffb454; + + --theme-popup-bg: #14191f; + --theme-popup-border: #5c6773; + --theme-hover: #191f26; + + --quote-bg: hsl(226, 15%, 17%); + --quote-border: hsl(226, 15%, 22%); + + --warning-border: #ff8e00; + + --table-border-color: hsl(210, 25%, 13%); + --table-header-bg: hsl(210, 25%, 28%); + --table-alternate-bg: hsl(210, 25%, 11%); + + --searchbar-border-color: #848484; + --searchbar-bg: #424242; + --searchbar-fg: #fff; + --searchbar-shadow-color: #d4c89f; + --searchresults-header-fg: #666; + --searchresults-border-color: #888; + --searchresults-li-bg: #252932; + --search-mark-bg: #e3b171; + + --color-scheme: dark; + + /* Same as `--icons` */ + --copy-button-filter: invert(45%) sepia(6%) saturate(621%) hue-rotate(198deg) brightness(99%) contrast(85%); + /* Same as `--sidebar-active` */ + --copy-button-filter-hover: invert(68%) sepia(55%) saturate(531%) hue-rotate(341deg) brightness(104%) contrast(101%); +} + +.coal { + --bg: hsl(200, 7%, 8%); + --fg: #98a3ad; + + --sidebar-bg: #292c2f; + --sidebar-fg: #a1adb8; + --sidebar-non-existant: #505254; + --sidebar-active: #3473ad; + --sidebar-spacer: #393939; + + --scrollbar: var(--sidebar-fg); + + --icons: #43484d; + --icons-hover: #b3c0cc; + + --links: #2b79a2; + + --inline-code-color: #c5c8c6; + + --theme-popup-bg: #141617; + --theme-popup-border: #43484d; + --theme-hover: #1f2124; + + --quote-bg: hsl(234, 21%, 18%); + --quote-border: hsl(234, 21%, 23%); + + --warning-border: #ff8e00; + + --table-border-color: hsl(200, 7%, 13%); + --table-header-bg: hsl(200, 7%, 28%); + --table-alternate-bg: hsl(200, 7%, 11%); + + --searchbar-border-color: #aaa; + --searchbar-bg: #b7b7b7; + --searchbar-fg: #000; + --searchbar-shadow-color: #aaa; + --searchresults-header-fg: #666; + --searchresults-border-color: #98a3ad; + --searchresults-li-bg: #2b2b2f; + --search-mark-bg: #355c7d; + + --color-scheme: dark; + + /* Same as `--icons` */ + --copy-button-filter: invert(26%) sepia(8%) saturate(575%) hue-rotate(169deg) brightness(87%) contrast(82%); + /* Same as `--sidebar-active` */ + --copy-button-filter-hover: invert(36%) sepia(70%) saturate(503%) hue-rotate(167deg) brightness(98%) contrast(89%); +} + +.light, html:not(.js) { + --bg: hsl(0, 0%, 100%); + --fg: hsl(0, 0%, 0%); + + --sidebar-bg: #fafafa; + --sidebar-fg: hsl(0, 0%, 0%); + --sidebar-non-existant: #aaaaaa; + --sidebar-active: #1f1fff; + --sidebar-spacer: #f4f4f4; + + --scrollbar: #8F8F8F; + + --icons: #747474; + --icons-hover: #000000; + + --links: #20609f; + + --inline-code-color: #301900; + + --theme-popup-bg: #fafafa; + --theme-popup-border: #cccccc; + --theme-hover: #e6e6e6; + + --quote-bg: hsl(197, 37%, 96%); + --quote-border: hsl(197, 37%, 91%); + + --warning-border: #ff8e00; + + --table-border-color: hsl(0, 0%, 95%); + --table-header-bg: hsl(0, 0%, 80%); + --table-alternate-bg: hsl(0, 0%, 97%); + + --searchbar-border-color: #aaa; + --searchbar-bg: #fafafa; + --searchbar-fg: #000; + --searchbar-shadow-color: #aaa; + --searchresults-header-fg: #666; + --searchresults-border-color: #888; + --searchresults-li-bg: #e4f2fe; + --search-mark-bg: #a2cff5; + + --color-scheme: light; + + /* Same as `--icons` */ + --copy-button-filter: invert(45.49%); + /* Same as `--sidebar-active` */ + --copy-button-filter-hover: invert(14%) sepia(93%) saturate(4250%) hue-rotate(243deg) brightness(99%) contrast(130%); +} + +.navy { + --bg: hsl(226, 23%, 11%); + --fg: #bcbdd0; + + --sidebar-bg: #282d3f; + --sidebar-fg: #c8c9db; + --sidebar-non-existant: #505274; + --sidebar-active: #2b79a2; + --sidebar-spacer: #2d334f; + + --scrollbar: var(--sidebar-fg); + + --icons: #737480; + --icons-hover: #b7b9cc; + + --links: #2b79a2; + + --inline-code-color: #c5c8c6; + + --theme-popup-bg: #161923; + --theme-popup-border: #737480; + --theme-hover: #282e40; + + --quote-bg: hsl(226, 15%, 17%); + --quote-border: hsl(226, 15%, 22%); + + --warning-border: #ff8e00; + + --table-border-color: hsl(226, 23%, 16%); + --table-header-bg: hsl(226, 23%, 31%); + --table-alternate-bg: hsl(226, 23%, 14%); + + --searchbar-border-color: #aaa; + --searchbar-bg: #aeaec6; + --searchbar-fg: #000; + --searchbar-shadow-color: #aaa; + --searchresults-header-fg: #5f5f71; + --searchresults-border-color: #5c5c68; + --searchresults-li-bg: #242430; + --search-mark-bg: #a2cff5; + + --color-scheme: dark; + + /* Same as `--icons` */ + --copy-button-filter: invert(51%) sepia(10%) saturate(393%) hue-rotate(198deg) brightness(86%) contrast(87%); + /* Same as `--sidebar-active` */ + --copy-button-filter-hover: invert(46%) sepia(20%) saturate(1537%) hue-rotate(156deg) brightness(85%) contrast(90%); +} + +.rust { + --bg: hsl(60, 9%, 87%); + --fg: #262625; + + --sidebar-bg: #3b2e2a; + --sidebar-fg: #c8c9db; + --sidebar-non-existant: #505254; + --sidebar-active: #e69f67; + --sidebar-spacer: #45373a; + + --scrollbar: var(--sidebar-fg); + + --icons: #737480; + --icons-hover: #262625; + + --links: #2b79a2; + + --inline-code-color: #6e6b5e; + + --theme-popup-bg: #e1e1db; + --theme-popup-border: #b38f6b; + --theme-hover: #99908a; + + --quote-bg: hsl(60, 5%, 75%); + --quote-border: hsl(60, 5%, 70%); + + --warning-border: #ff8e00; + + --table-border-color: hsl(60, 9%, 82%); + --table-header-bg: #b3a497; + --table-alternate-bg: hsl(60, 9%, 84%); + + --searchbar-border-color: #aaa; + --searchbar-bg: #fafafa; + --searchbar-fg: #000; + --searchbar-shadow-color: #aaa; + --searchresults-header-fg: #666; + --searchresults-border-color: #888; + --searchresults-li-bg: #dec2a2; + --search-mark-bg: #e69f67; + + /* Same as `--icons` */ + --copy-button-filter: invert(51%) sepia(10%) saturate(393%) hue-rotate(198deg) brightness(86%) contrast(87%); + /* Same as `--sidebar-active` */ + --copy-button-filter-hover: invert(77%) sepia(16%) saturate(1798%) hue-rotate(328deg) brightness(98%) contrast(83%); +} + +@media (prefers-color-scheme: dark) { + html:not(.js) { + --bg: hsl(200, 7%, 8%); + --fg: #98a3ad; + + --sidebar-bg: #292c2f; + --sidebar-fg: #a1adb8; + --sidebar-non-existant: #505254; + --sidebar-active: #3473ad; + --sidebar-spacer: #393939; + + --scrollbar: var(--sidebar-fg); + + --icons: #43484d; + --icons-hover: #b3c0cc; + + --links: #2b79a2; + + --inline-code-color: #c5c8c6; + + --theme-popup-bg: #141617; + --theme-popup-border: #43484d; + --theme-hover: #1f2124; + + --quote-bg: hsl(234, 21%, 18%); + --quote-border: hsl(234, 21%, 23%); + + --warning-border: #ff8e00; + + --table-border-color: hsl(200, 7%, 13%); + --table-header-bg: hsl(200, 7%, 28%); + --table-alternate-bg: hsl(200, 7%, 11%); + + --searchbar-border-color: #aaa; + --searchbar-bg: #b7b7b7; + --searchbar-fg: #000; + --searchbar-shadow-color: #aaa; + --searchresults-header-fg: #666; + --searchresults-border-color: #98a3ad; + --searchresults-li-bg: #2b2b2f; + --search-mark-bg: #355c7d; + + --color-scheme: dark; + + /* Same as `--icons` */ + --copy-button-filter: invert(26%) sepia(8%) saturate(575%) hue-rotate(169deg) brightness(87%) contrast(82%); + /* Same as `--sidebar-active` */ + --copy-button-filter-hover: invert(36%) sepia(70%) saturate(503%) hue-rotate(167deg) brightness(98%) contrast(89%); + } +} diff --git a/dev/bench/data.js b/dev/bench/data.js new file mode 100644 index 0000000000..6b19b2cb85 --- /dev/null +++ b/dev/bench/data.js @@ -0,0 +1,41644 @@ +window.BENCHMARK_DATA 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few things:\n- `process_lookup_direct` no longer has a default implementation.\nEventually, we want all machines to implement it, so I figured it would\nbe better to explicitly panic in each machine.\n- Refactored the implementation of\n`FixedLookupMachine::process_plookup`, pulling some stuff out into a new\n`CallerData` struct. This is similar to what @chriseth has done on\n[`call_jit_from_block`](https://github.com/powdr-labs/powdr/compare/main...call_jit_from_block),\nsee the comment below.\n- As a first test, I implemented `process_lookup_direct` for the\n\"large\"-field memory machine (and `process_plookup` by wrapping\n`process_lookup_direct`)", + "timestamp": "2024-12-10T16:44:15Z", + "url": "https://github.com/powdr-labs/powdr/commit/0180542559db8ea6811c2b57d5b2ca292ea7ea69" + }, + "date": 1733850030986, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6948, + "range": "± 14", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 675, + "range": "± 0", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1212, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 28723, + "range": "± 39", + "unit": "ns/iter" + }, + { 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This is similar to what @chriseth has done on\n[`call_jit_from_block`](https://github.com/powdr-labs/powdr/compare/main...call_jit_from_block),\nsee the comment below.\n- As a first test, I implemented `process_lookup_direct` for the\n\"large\"-field memory machine (and `process_plookup` by wrapping\n`process_lookup_direct`)", + "timestamp": "2024-12-10T16:44:15Z", + "tree_id": "3c3050b6316c6db5af054b636680e99dbfb8e8f4", + "url": "https://github.com/powdr-labs/powdr/commit/0180542559db8ea6811c2b57d5b2ca292ea7ea69" + }, + "date": 1733852047972, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6848, + "range": "± 8", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 593, + "range": "± 0", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1069, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 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(#2212)\n\nThis module is an equivalent of the existing affine_expression.rs, but\nfor compile-time execution on symbolic values instead of run-time\nexecution on concrete values.\n\nUsing the operators defined on that that type, you can build a\nSymbolicAffineExpression from a polynomial identity and then use\n`.solve()` to try to solve for one unknown variable. The result (instead\nof a concrete assignment as in affine_expression.rs) is a\nSymbolicExpression, i.e. a complex expression involving variables\n(assumed to have a concrete value known at run time), constants and\ncertain operators on them.\n\nThe idea is that SymbolicAffineExpression is used on polynomial\nidentities in turn and solving for one cell after the other in the\ntrace. The resulting SymbolicExpression can be translated to rust or\npil.", + "timestamp": "2024-12-11T17:06:18Z", + "url": "https://github.com/powdr-labs/powdr/commit/598352a23d7f791124541788d8de5f637124b9d8" + }, + "date": 1733937829630, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6880, + "range": "± 95", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 592, + "range": "± 18", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1081, + "range": "± 9", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 29733, + "range": "± 126", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 24921, + "range": "± 81", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 25025, + "range": "± 488", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 17646, + "range": "± 137", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 803563, + "range": "± 13691", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2753869, + "range": "± 19307", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9815521, + "range": "± 94917", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 36417923, + "range": "± 703043", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 142713727, + "range": "± 2755336", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3251, + "range": "± 51", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2474, + "range": "± 35", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2444, + "range": "± 5", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1363, + "range": "± 6", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 66882, + "range": "± 1313", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 255010, + "range": "± 1329", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1048079, + "range": "± 19402", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 4982166, + "range": "± 62784", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 28134755, + "range": "± 364422", + "unit": "ns/iter" + }, + { + "name": "executor-benchmark/keccak", + "value": 8904285465, + "range": "± 94188375", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "email": "chris@ethereum.org", + "name": "chriseth", + "username": "chriseth" + }, + "committer": { + "email": "noreply@github.com", + "name": "GitHub", + "username": "web-flow" + }, + "distinct": true, + "id": "598352a23d7f791124541788d8de5f637124b9d8", + "message": "Expressions and solving routines. (#2212)\n\nThis module is an equivalent of the existing affine_expression.rs, but\nfor compile-time execution on symbolic values instead of run-time\nexecution on concrete values.\n\nUsing the operators defined on that that type, you can build a\nSymbolicAffineExpression from a polynomial identity and then use\n`.solve()` to try to solve for one unknown variable. The result (instead\nof a concrete assignment as in affine_expression.rs) is a\nSymbolicExpression, i.e. a complex expression involving variables\n(assumed to have a concrete value known at run time), constants and\ncertain operators on them.\n\nThe idea is that SymbolicAffineExpression is used on polynomial\nidentities in turn and solving for one cell after the other in the\ntrace. The resulting SymbolicExpression can be translated to rust or\npil.", + "timestamp": "2024-12-11T17:06:18Z", + "tree_id": "30faa5d361e14b3a2606a744750845a8204a85ed", + "url": "https://github.com/powdr-labs/powdr/commit/598352a23d7f791124541788d8de5f637124b9d8" + }, + "date": 1733939580383, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 7038, + "range": "± 8", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 578, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1059, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 30277, + "range": "± 54", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 25303, + "range": "± 17", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 25169, + "range": "± 24", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 17740, + "range": "± 24", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 793151, + "range": "± 844", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2725395, + "range": "± 3014", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9562798, + "range": "± 18926", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 34999900, + "range": "± 39224", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 138423933, + "range": "± 138651", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3116, + "range": "± 4", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2449, + "range": "± 4", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2444, + "range": "± 5", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1364, + "range": "± 2", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 65522, + "range": "± 30", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 252207, + "range": "± 184", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1030792, + "range": "± 2214", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 4880419, + "range": "± 3607", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 27549003, + "range": "± 19272", + "unit": "ns/iter" + }, + { + "name": "executor-benchmark/keccak", + "value": 8102998803, + "range": "± 27472621", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "name": "ShuangWu121", + "username": "ShuangWu121", + "email": "47602565+ShuangWu121@users.noreply.github.com" + }, + "committer": { + "name": "GitHub", + "username": "web-flow", + "email": "noreply@github.com" + }, + "id": "ad409564caae4aa407abf10170783ce16ce27534", + "message": "Add support for constant column in STWO backend (#2112)\n\n# Add Support for Constant Columns in Stwo Backend\n\nStwo's recent development introduced new APIs to support\nconstant/pre-processed columns. However, the `dev` branch of Stwo is\nstill using an older nightly toolchain, which is incompatible with\nPowdr.\n\nCurrently, Stwo has two open PRs\n[PR1](https://github.com/starkware-libs/stwo/pull/847),\n[PR2](https://github.com/starkware-libs/stwo/pull/871) aimed at updating\nthe toolchain to nightly `11-06`. Previously, our Stwo backend\ndependency relied on one of these PRs' branches. However, this branch is\nno longer updated with the latest commits from their `dev` branch. These\nnew commits are required to support constant columns.\n\n### Temporary Solution\nTo address this issue temporarily:\n- I moved Stwo's dependency to my fork of Stwo, where the branch is\nupdated with both the latest `dev` branch commits and the newer\ntoolchain.\n\n---\n\n### Tasks in this PR\n1. **Add APIs to support constant columns**:\n2. **Update test cases**:\n - Modify and add test cases to validate constant column support.\n\n---\n\n---------\n\nCo-authored-by: Thibaut Schaeffer ", + "timestamp": "2024-12-11T17:45:46Z", + "url": "https://github.com/powdr-labs/powdr/commit/ad409564caae4aa407abf10170783ce16ce27534" + }, + "date": 1733940122271, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6847, + "range": "± 8", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 585, + "range": "± 0", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + 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+ "range": "± 35951610", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "email": "47602565+ShuangWu121@users.noreply.github.com", + "name": "ShuangWu121", + "username": "ShuangWu121" + }, + "committer": { + "email": "noreply@github.com", + "name": "GitHub", + "username": "web-flow" + }, + "distinct": true, + "id": "ad409564caae4aa407abf10170783ce16ce27534", + "message": "Add support for constant column in STWO backend (#2112)\n\n# Add Support for Constant Columns in Stwo Backend\n\nStwo's recent development introduced new APIs to support\nconstant/pre-processed columns. However, the `dev` branch of Stwo is\nstill using an older nightly toolchain, which is incompatible with\nPowdr.\n\nCurrently, Stwo has two open PRs\n[PR1](https://github.com/starkware-libs/stwo/pull/847),\n[PR2](https://github.com/starkware-libs/stwo/pull/871) aimed at updating\nthe toolchain to nightly `11-06`. Previously, our Stwo backend\ndependency relied on one of these PRs' branches. However, this branch is\nno longer updated with the latest commits from their `dev` branch. These\nnew commits are required to support constant columns.\n\n### Temporary Solution\nTo address this issue temporarily:\n- I moved Stwo's dependency to my fork of Stwo, where the branch is\nupdated with both the latest `dev` branch commits and the newer\ntoolchain.\n\n---\n\n### Tasks in this PR\n1. **Add APIs to support constant columns**:\n2. **Update test cases**:\n - Modify and add test cases to validate constant column support.\n\n---\n\n---------\n\nCo-authored-by: Thibaut Schaeffer ", + "timestamp": "2024-12-11T17:45:46Z", + "tree_id": "957a21733e8ae94c43f57985fd6b427827a7de72", + "url": "https://github.com/powdr-labs/powdr/commit/ad409564caae4aa407abf10170783ce16ce27534" + }, + "date": 1733942044675, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6998, + "range": "± 209", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 603, + "range": "± 11", + "unit": "ns/iter" + }, + { 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that can be used to determine if a\nsubmachine call with certain known inputs and certain range constraints\ncan be fully processed by the called machine.\n\n---------\n\nCo-authored-by: Georg Wiese ", + "timestamp": "2024-12-18T19:33:37Z", + "url": "https://github.com/powdr-labs/powdr/commit/89a01a4e8b1c26864a9e571217eabdede5bafe5d" + }, + "date": 1734551433656, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6871, + "range": "± 26", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 596, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1197, + "range": "± 12", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 28892, + "range": "± 131", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 24239, + "range": "± 31", + "unit": "ns/iter" + }, + { + "name": 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"evaluator-benchmark/sort_33", + "value": 790660, + "range": "± 746", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2725239, + "range": "± 2888", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9529718, + "range": "± 15306", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 35024462, + "range": "± 80536", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 138373559, + "range": "± 165155", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3142, + "range": "± 5", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2459, + "range": "± 3", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2485, + "range": "± 2", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1372, + "range": "± 3", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 66807, + "range": "± 33", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 257113, + "range": "± 146", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1057840, + "range": "± 1138", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 5019144, + "range": "± 3489", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 27882794, + "range": "± 135552", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "name": "powdr-labs", + "username": "powdr-labs" + }, + "committer": { + "name": "powdr-labs", + "username": "powdr-labs" + }, + "id": "886cb818ab5de6a3d9d0a01490ef14e8376e5c15", + "message": "Not-concrete-is-unknown eval", + "timestamp": "2024-12-18T20:05:18Z", + "url": "https://github.com/powdr-labs/powdr/pull/2261/commits/886cb818ab5de6a3d9d0a01490ef14e8376e5c15" + }, + "date": 1734553510947, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6863, + "range": "± 5", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 587, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1062, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 29408, + "range": "± 46", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 24568, + "range": "± 29", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 24532, + "range": "± 24", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 17209, + "range": "± 13", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 790969, + "range": "± 1148", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2716792, + "range": "± 3783", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9561215, + "range": "± 20560", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 35197185, + "range": "± 84733", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 139442025, + "range": "± 358549", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3666, + "range": "± 12", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2866, + "range": "± 5", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2861, + "range": "± 5", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1675, + "range": "± 2", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 100649, + "range": "± 45", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 370985, + "range": "± 220", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1424297, + "range": "± 1388", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 6084671, + "range": "± 7878", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 30487225, + "range": "± 108464", + "unit": "ns/iter" + }, + { + "name": "executor-benchmark/keccak", + "value": 8660030950, + "range": "± 37204487", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "email": "chris@ethereum.org", + "name": "chriseth", + "username": "chriseth" + }, + "committer": { + "email": "noreply@github.com", + "name": "GitHub", + "username": "web-flow" + }, + "distinct": true, + "id": "89a01a4e8b1c26864a9e571217eabdede5bafe5d", + "message": "\"can process fully\" (#2255)\n\nAdd a function to the Machine trait that can be used to determine if a\nsubmachine call with certain known inputs and certain range constraints\ncan be fully processed by the called machine.\n\n---------\n\nCo-authored-by: Georg Wiese ", + "timestamp": "2024-12-18T19:33:37Z", + "tree_id": "69e8696eb6be9129adf55b36e14f54ad2b1edcc7", + "url": "https://github.com/powdr-labs/powdr/commit/89a01a4e8b1c26864a9e571217eabdede5bafe5d" + }, + "date": 1734553632923, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6895, + "range": "± 6", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 576, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1061, + "range": "± 2", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 29038, + "range": "± 34", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 24374, + "range": "± 36", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 24282, + "range": "± 55", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 17250, + "range": "± 41", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 791949, + "range": "± 1003", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2735063, + "range": "± 6806", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9549451, + "range": "± 25160", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 35110476, + "range": "± 208279", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 139211533, + "range": "± 461145", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3133, + "range": "± 4", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2447, + "range": "± 4", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2449, + "range": "± 7", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1360, + "range": "± 3", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 66128, + "range": "± 89", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 254839, + "range": "± 1103", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1032638, + "range": "± 1087", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 4873224, + "range": "± 4323", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 28077808, + "range": "± 230983", + "unit": "ns/iter" + }, + { + "name": "executor-benchmark/keccak", + "value": 8567786964, + "range": "± 80240524", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "name": "Georg Wiese", + "username": "georgwiese", + "email": "georgwiese@gmail.com" + }, + "committer": { + "name": "GitHub", + "username": "web-flow", + "email": "noreply@github.com" + }, + "id": "a737ed851f42fe75bdd88b386869d41b2afd5d26", + "message": "Call JIT (#2242)\n\nThis PR puts together the pieces to run compile-time witgen for block\nmachines. There are still many cases where it doesn't work yet, in which\ncase it falls back to run-time solving. These cases should be fixed in\nfuture PRs.\n\nIt also fixes two bugs:\n- When multiplying two affine expression, the case where one of them is\nzero is now handled properly.\n- `WitgenInference` now handles intermediate columns.\n\nNote that this PR could slow down witgen by attempting to compile code\nonce per incoming connection and input / output combination, in block\nmachines. I think this should be negligible though and it gives us that\nmuch of the new pipeline is already running in the tests and elsewhere.\n\n# Benchmark results\n\nI tested the code with different opt levels on a benchmark that computes\nca. $2^{16}$ Poseidon hashes.\n\n## Baseline\n\n```\n == Witgen profile (393220 events)\n 93.0% ( 30.8s): Secondary machine 0: main_poseidon (BlockMachine)\n 4.1% ( 1.4s): witgen (outer code)\n 2.3% ( 750.8ms): Main machine (Dynamic)\n 0.6% ( 204.4ms): FixedLookup\n 0.0% ( 3.2µs): range constraint multiplicity witgen\n ---------------------------\n ==> Total: 33.109672458s\n```\n\n## JIT (opt level 1)\n\n```\n == Witgen profile (393222 events)\n 52.3% ( 7.7s): JIT-compilation\n 32.0% ( 4.7s): Secondary machine 0: main_poseidon (BlockMachine)\n 9.2% ( 1.3s): witgen (outer code)\n 5.1% ( 748.3ms): Main machine (Dynamic)\n 1.4% ( 213.5ms): FixedLookup\n 0.0% ( 417.0ns): range constraint multiplicity witgen\n ---------------------------\n ==> Total: 14.729149333s\n```\n\n## JIT (opt level 3)\n\n```\n== Witgen profile (393222 events)\n 94.6% ( 107.9s): JIT-compilation\n 3.4% ( 3.9s): Secondary machine 0: main_poseidon (BlockMachine)\n 1.1% ( 1.3s): witgen (outer code)\n 0.7% ( 746.5ms): Main machine (Dynamic)\n 0.2% ( 204.1ms): FixedLookup\n 0.0% ( 542.0ns): range constraint multiplicity witgen\n ---------------------------\n ==> Total: 114.036571291s\n```", + "timestamp": "2024-12-18T20:27:49Z", + "url": "https://github.com/powdr-labs/powdr/commit/a737ed851f42fe75bdd88b386869d41b2afd5d26" + }, + "date": 1734554688837, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6971, + "range": "± 26", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 576, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1091, + "range": "± 7", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 29066, + "range": "± 38", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 24251, + "range": "± 61", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 24171, + "range": "± 47", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 17071, + "range": "± 53", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 811809, + "range": "± 2080", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2790714, + "range": "± 8755", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9835578, + "range": "± 44070", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 36117357, + "range": "± 233182", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 144627593, + "range": "± 1026509", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3705, + "range": "± 3", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2871, + "range": "± 5", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2867, + "range": "± 5", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1670, + "range": "± 3", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 99770, + "range": "± 250", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 374743, + "range": "± 1505", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1443770, + "range": "± 5126", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 6199065, + "range": "± 46483", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 31251191, + "range": "± 222122", + "unit": "ns/iter" + }, + { + "name": "executor-benchmark/keccak", + "value": 9189673850, + "range": "± 48079525", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "email": "georgwiese@gmail.com", + "name": "Georg Wiese", + "username": "georgwiese" + }, + "committer": { + "email": "noreply@github.com", + "name": "GitHub", + "username": "web-flow" + }, + "distinct": true, + "id": "a737ed851f42fe75bdd88b386869d41b2afd5d26", + "message": "Call JIT (#2242)\n\nThis PR puts together the pieces to run compile-time witgen for block\nmachines. There are still many cases where it doesn't work yet, in which\ncase it falls back to run-time solving. These cases should be fixed in\nfuture PRs.\n\nIt also fixes two bugs:\n- When multiplying two affine expression, the case where one of them is\nzero is now handled properly.\n- `WitgenInference` now handles intermediate columns.\n\nNote that this PR could slow down witgen by attempting to compile code\nonce per incoming connection and input / output combination, in block\nmachines. I think this should be negligible though and it gives us that\nmuch of the new pipeline is already running in the tests and elsewhere.\n\n# Benchmark results\n\nI tested the code with different opt levels on a benchmark that computes\nca. $2^{16}$ Poseidon hashes.\n\n## Baseline\n\n```\n == Witgen profile (393220 events)\n 93.0% ( 30.8s): Secondary machine 0: main_poseidon (BlockMachine)\n 4.1% ( 1.4s): witgen (outer code)\n 2.3% ( 750.8ms): Main machine (Dynamic)\n 0.6% ( 204.4ms): FixedLookup\n 0.0% ( 3.2µs): range constraint multiplicity witgen\n ---------------------------\n ==> Total: 33.109672458s\n```\n\n## JIT (opt level 1)\n\n```\n == Witgen profile (393222 events)\n 52.3% ( 7.7s): JIT-compilation\n 32.0% ( 4.7s): Secondary machine 0: main_poseidon (BlockMachine)\n 9.2% ( 1.3s): witgen (outer code)\n 5.1% ( 748.3ms): Main machine (Dynamic)\n 1.4% ( 213.5ms): FixedLookup\n 0.0% ( 417.0ns): range constraint multiplicity witgen\n ---------------------------\n ==> Total: 14.729149333s\n```\n\n## JIT (opt level 3)\n\n```\n== Witgen profile (393222 events)\n 94.6% ( 107.9s): JIT-compilation\n 3.4% ( 3.9s): Secondary machine 0: main_poseidon (BlockMachine)\n 1.1% ( 1.3s): witgen (outer code)\n 0.7% ( 746.5ms): Main machine (Dynamic)\n 0.2% ( 204.1ms): FixedLookup\n 0.0% ( 542.0ns): range constraint multiplicity witgen\n ---------------------------\n ==> Total: 114.036571291s\n```", + "timestamp": "2024-12-18T20:27:49Z", + "tree_id": "d8aec592d76bd341c83f04dee5f01ba6be0d9cf1", + "url": "https://github.com/powdr-labs/powdr/commit/a737ed851f42fe75bdd88b386869d41b2afd5d26" + }, + "date": 1734556530592, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6877, + "range": "± 18", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 577, + "range": "± 0", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1099, + "range": "± 2", 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"noreply@github.com", + "name": "GitHub", + "username": "web-flow" + }, + "distinct": false, + "id": "64ce9672efd74f9f78401095dfd8aef4495950b6", + "message": "Add benchmark for JITgen (#2260)\n\nAdds the benchmark I used for measuring the witness generation JIT in\n#2242.", + "timestamp": "2024-12-20T10:28:19Z", + "tree_id": "b5fcbf9a2fb094612ee810af9b26ff7219e26ce3", + "url": "https://github.com/powdr-labs/powdr/commit/64ce9672efd74f9f78401095dfd8aef4495950b6" + }, + "date": 1734693586040, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6956, + "range": "± 6", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 586, + "range": "± 0", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1054, + "range": "± 2", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 28721, + "range": "± 15", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 24024, + "range": "± 15", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 23987, + "range": "± 11", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 16951, + "range": "± 9", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 780390, + "range": "± 1079", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2692059, + "range": "± 3646", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9485980, + "range": "± 36878", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 34861942, + "range": "± 187548", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 138514585, + "range": "± 832138", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3584, + "range": "± 8", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2835, + "range": "± 6", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2939, + "range": "± 7", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1676, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 99766, + "range": "± 48", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 370248, + "range": "± 444", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1430928, + "range": "± 2243", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 6220403, + "range": "± 37580", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 31080719, + "range": "± 184963", + "unit": "ns/iter" + }, + { + "name": "jit-witgen-benchmark/jit_witgen_benchmark", + "value": 53998960140, + "range": "± 354481817", + "unit": "ns/iter" + }, + { + "name": "executor-benchmark/keccak", + "value": 8597730944, + "range": "± 49725301", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "email": "chris@ethereum.org", + "name": "chriseth", + "username": "chriseth" + }, + "committer": { + "email": "noreply@github.com", + "name": "GitHub", + "username": "web-flow" + }, + "distinct": false, + "id": "6549bd2f49651deb8e6d1a49232040a3f06c7e94", + "message": "Bisect range constraints. (#2270)\n\nThis adds a function to range constraints that splits a range constraint\ninto two disjoint range constraints of roughly the same size that equal\nthe initial range constraint when combined.\n\nThis function is planned to be used for branching in autowitjitgen.", + "timestamp": "2024-12-20T10:48:18Z", + "tree_id": "19fe5426a97ed26f40b21ba5a3e2c42ecbf480ea", + "url": "https://github.com/powdr-labs/powdr/commit/6549bd2f49651deb8e6d1a49232040a3f06c7e94" + }, + "date": 1734695556000, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 7088, + "range": "± 5", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 589, + "range": "± 0", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1089, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 29225, + "range": "± 26", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 24445, + "range": "± 19", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 24375, + "range": "± 21", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 17161, + "range": "± 20", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 781660, + "range": "± 1024", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2700402, + "range": "± 2027", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9442556, + "range": "± 14381", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 34702927, + "range": "± 41770", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 137708133, + "range": "± 133111", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3637, + "range": "± 7", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2918, + "range": "± 2", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2863, + "range": "± 4", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1708, + "range": "± 2", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 100721, + "range": "± 90", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 373235, + "range": "± 344", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1433972, + "range": "± 2172", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 6100196, + "range": "± 8045", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 30473623, + "range": "± 76033", + "unit": "ns/iter" + }, + { + "name": "jit-witgen-benchmark/jit_witgen_benchmark", + "value": 50804273944, + "range": "± 372373805", + "unit": "ns/iter" + }, + { + "name": "executor-benchmark/keccak", + "value": 8137220194, + "range": "± 15759967", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "name": "powdr-labs", + "username": "powdr-labs" + }, + "committer": { + "name": "powdr-labs", + "username": "powdr-labs" + }, + "id": "c54c0dd1c25358b93ef4786927c344d01dc3e076", + "message": "Single step processor.", + "timestamp": "2024-12-20T11:22:49Z", + "url": "https://github.com/powdr-labs/powdr/pull/2272/commits/c54c0dd1c25358b93ef4786927c344d01dc3e076" + }, + "date": 1734696293618, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6765, + "range": "± 21", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 598, + "range": "± 0", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1054, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 28896, + "range": "± 15", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 24054, + "range": "± 17", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 24069, + "range": "± 21", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 17027, + "range": "± 11", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 802565, + "range": "± 805", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2764537, + "range": "± 2815", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9650931, + "range": "± 16282", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 35375111, + "range": "± 48150", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 140189900, + "range": "± 142508", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3616, + "range": "± 20", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2915, + "range": "± 12", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2887, + "range": "± 4", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1677, + "range": "± 2", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 100747, + "range": "± 82", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 373614, + "range": "± 395", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1441464, + "range": "± 1466", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 6129425, + "range": "± 5982", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 30354700, + "range": "± 82965", + "unit": "ns/iter" + }, + { + "name": "jit-witgen-benchmark/jit_witgen_benchmark", + "value": 52580127988, + "range": "± 591084510", + "unit": "ns/iter" + }, + { + "name": "executor-benchmark/keccak", + "value": 8451402810, + "range": "± 77720838", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "name": "powdr-labs", + "username": "powdr-labs" + }, + "committer": { + "name": "powdr-labs", + "username": "powdr-labs" + }, + "id": "43c22b2144f529461e731adec753c86cff8ff6a2", + "message": "Log JIT statistics", + "timestamp": "2024-12-20T11:22:49Z", + "url": "https://github.com/powdr-labs/powdr/pull/2273/commits/43c22b2144f529461e731adec753c86cff8ff6a2" + }, + "date": 1734696913426, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6804, + "range": "± 10", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 597, + "range": "± 0", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1097, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 29958, + "range": "± 22", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 25136, + "range": "± 14", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 25072, + "range": "± 13", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 18022, + "range": "± 10", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 785566, + "range": "± 846", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2705765, + "range": "± 2755", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9432990, + "range": "± 8585", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 34625869, + "range": "± 35425", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 138008899, + "range": "± 126835", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3588, + "range": "± 7", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2833, + "range": "± 6", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2842, + "range": "± 5", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1681, + "range": "± 2", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 101303, + "range": "± 75", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 372587, + "range": "± 329", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1440786, + "range": "± 1189", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 6146248, + "range": "± 7130", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 30565304, + "range": "± 55593", + "unit": "ns/iter" + }, + { + "name": "jit-witgen-benchmark/jit_witgen_benchmark", + "value": 51107098489, + "range": "± 538914236", + "unit": "ns/iter" + }, + { + "name": "executor-benchmark/keccak", + "value": 8140922583, + "range": "± 23472205", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "name": "Georg Wiese", + "username": "georgwiese", + "email": "georgwiese@gmail.com" + }, + "committer": { + "name": "GitHub", + "username": "web-flow", + "email": "noreply@github.com" + }, + "id": "550a1e680a566f270d666b0fef86e7c09b85f5f1", + "message": "Log JIT statistics (#2273)\n\nCurrently, it is hard to know for which machines the WitJITGen worked.\nWith this PR, we can see it in the debug log:\n\n```\n$ POWDR_JIT_OPT_LEVEL=1 RUST_LOG=debug cargo run pil test_data/std/poseidon_gl_test.asm -o output -f\n...\n[00:00:10 (ETA: 00:00:00)] ████████████████████ 100% - Starting... Finalizing VM: Main machine (Dynamic)\nSecondary machine 0: main_poseidon (BlockMachine): 5 / 5 blocks computed via JIT.\n155 of 256 rows are used in machine 'Secondary machine 0: main_poseidon (BlockMachine)'.\n\n == Witgen profile (532 events)\n 96.9% ( 10.4s): JIT-compilation\n 2.5% ( 268.6ms): Secondary machine 0: main_poseidon (BlockMachine)\n 0.5% ( 56.3ms): witgen (outer code)\n 0.1% ( 8.7ms): Main machine (Dynamic)\n 0.0% ( 3.2ms): FixedLookup\n 0.0% ( 2.1µs): range constraint multiplicity witgen\n ---------------------------\n ==> Total: 10.75908525s\n\n$ cargo run -r --features plonky3 --bin powdr-rs compile riscv/tests/riscv_data/keccak -o output --max-degree-log 18 --field gl --coprocessors arith\n...\n$ cargo run -r --features plonky3 pil output/keccak.asm -o output -f --field gl --prove-with mock --linker-mode bus\n...\n[00:00:15 (ETA: 00:00:00)] ████████████████████ 100% - 94652 rows/s, 12304k identities/s, 100% progress Finalizing VM: Main machine (Dynamic)\nMachine Secondary machine 0: main_arith (BlockMachine) is never used at runtime, so we remove it.\nSecondary machine 1: main_binary (BlockMachine): 0 / 50462 blocks computed via JIT.\n201848 of 262144 rows are used in machine 'Secondary machine 1: main_binary (BlockMachine)'.\n40180 of 65536 rows are used in machine 'Secondary machine 2: main_memory (DoubleSortedWitnesses32)'.\nSecondary machine 3: main_poseidon_gl (BlockMachine): 0 / 1 blocks computed via JIT.\n31 of 32 rows are used in machine 'Secondary machine 3: main_poseidon_gl (BlockMachine)'.\n362234 of 524288 rows are used in machine 'Secondary machine 5: main_regs (DoubleSortedWitnesses32)'.\nSecondary machine 6: main_shift (BlockMachine): 0 / 11734 blocks computed via JIT.\n46936 of 65536 rows are used in machine 'Secondary machine 6: main_shift (BlockMachine)'.\nSecondary machine 7: main_split_gl (BlockMachine): 0 / 7 blocks computed via JIT.\n56 of 64 rows are used in machine 'Secondary machine 7: main_split_gl (BlockMachine)'.\n\n == Witgen profile (2554854 events)\n 48.7% ( 8.0s): Secondary machine 1: main_binary (BlockMachine)\n 18.4% ( 3.0s): Main machine (Dynamic)\n 12.4% ( 2.0s): Secondary machine 6: main_shift (BlockMachine)\n 10.5% ( 1.7s): FixedLookup\n 6.1% ( 999.6ms): Secondary machine 5: main_regs (DoubleSortedWitnesses32)\n 2.5% ( 404.6ms): witgen (outer code)\n 0.7% ( 114.5ms): Secondary machine 7: main_split_gl (BlockMachine)\n 0.5% ( 78.8ms): Secondary machine 3: main_poseidon_gl (BlockMachine)\n 0.3% ( 54.9ms): Secondary machine 2: main_memory (DoubleSortedWitnesses32)\n 0.0% ( 5.0ms): range constraint multiplicity witgen\n 0.0% ( 9.4µs): Secondary machine 4: main_publics (WriteOnceMemory)\n ---------------------------\n ==> Total: 16.446211875s\n```", + "timestamp": "2024-12-20T12:20:20Z", + "url": "https://github.com/powdr-labs/powdr/commit/550a1e680a566f270d666b0fef86e7c09b85f5f1" + }, + "date": 1734698747065, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6904, + "range": "± 8", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 598, + "range": "± 0", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1066, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 29194, + "range": "± 21", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 24220, + "range": "± 17", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 24250, + "range": "± 65", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 17074, + "range": "± 14", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 784732, + "range": "± 975", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2710268, + "range": "± 2701", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9452028, + "range": "± 17309", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 34592524, + "range": "± 69816", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 137840756, + "range": "± 174026", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3607, + "range": "± 7", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2853, + "range": "± 6", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2861, + "range": "± 4", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1689, + "range": "± 2", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 98736, + "range": "± 175", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 371924, + "range": "± 468", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1433254, + "range": "± 2032", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 6132766, + "range": "± 20775", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 30515584, + "range": "± 271103", + "unit": "ns/iter" + }, + { + "name": "jit-witgen-benchmark/jit_witgen_benchmark", + "value": 50788622988, + "range": "± 409493600", + "unit": "ns/iter" + }, + { + "name": "executor-benchmark/keccak", + "value": 8084678954, + "range": "± 17411553", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "name": "powdr-labs", + "username": "powdr-labs" + }, + "committer": { + "name": "powdr-labs", + "username": "powdr-labs" + }, + "id": "ad4a616649ae0500cccd66780a4cebf877d9a084", + "message": "use can_process", + "timestamp": "2024-12-20T11:22:49Z", + "url": "https://github.com/powdr-labs/powdr/pull/2256/commits/ad4a616649ae0500cccd66780a4cebf877d9a084" + }, + "date": 1734699726304, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6904, + "range": "± 4", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 603, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1054, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 28929, + "range": "± 13", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 24277, + "range": "± 15", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 24246, + "range": "± 22", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 17135, + "range": "± 8", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 788337, + "range": "± 1125", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2715243, + "range": "± 6487", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9546000, + "range": "± 51455", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 35233926, + "range": "± 245825", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 140143711, + "range": "± 736815", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3587, + "range": "± 8", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2840, + "range": "± 5", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2839, + "range": "± 4", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1672, + "range": "± 2", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 99238, + "range": "± 49", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 369381, + "range": "± 374", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1424218, + "range": "± 2229", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 6138085, + "range": "± 66092", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 31199139, + "range": "± 210961", + "unit": "ns/iter" + }, + { + "name": "jit-witgen-benchmark/jit_witgen_benchmark", + "value": 55049431931, + "range": "± 508535887", + "unit": "ns/iter" + }, + { + "name": "executor-benchmark/keccak", + "value": 9273225266, + "range": "± 77078892", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "email": "georgwiese@gmail.com", + "name": "Georg Wiese", + "username": "georgwiese" + }, + "committer": { + "email": "noreply@github.com", + "name": "GitHub", + "username": "web-flow" + }, + "distinct": true, + "id": "550a1e680a566f270d666b0fef86e7c09b85f5f1", + "message": "Log JIT statistics (#2273)\n\nCurrently, it is hard to know for which machines the WitJITGen worked.\nWith this PR, we can see it in the debug log:\n\n```\n$ POWDR_JIT_OPT_LEVEL=1 RUST_LOG=debug cargo run pil test_data/std/poseidon_gl_test.asm -o output -f\n...\n[00:00:10 (ETA: 00:00:00)] ████████████████████ 100% - Starting... Finalizing VM: Main machine (Dynamic)\nSecondary machine 0: main_poseidon (BlockMachine): 5 / 5 blocks computed via JIT.\n155 of 256 rows are used in machine 'Secondary machine 0: main_poseidon (BlockMachine)'.\n\n == Witgen profile (532 events)\n 96.9% ( 10.4s): JIT-compilation\n 2.5% ( 268.6ms): Secondary machine 0: main_poseidon (BlockMachine)\n 0.5% ( 56.3ms): witgen (outer code)\n 0.1% ( 8.7ms): Main machine (Dynamic)\n 0.0% ( 3.2ms): FixedLookup\n 0.0% ( 2.1µs): range constraint multiplicity witgen\n ---------------------------\n ==> Total: 10.75908525s\n\n$ cargo run -r --features plonky3 --bin powdr-rs compile riscv/tests/riscv_data/keccak -o output --max-degree-log 18 --field gl --coprocessors arith\n...\n$ cargo run -r --features plonky3 pil output/keccak.asm -o output -f --field gl --prove-with mock --linker-mode bus\n...\n[00:00:15 (ETA: 00:00:00)] ████████████████████ 100% - 94652 rows/s, 12304k identities/s, 100% progress Finalizing VM: Main machine (Dynamic)\nMachine Secondary machine 0: main_arith (BlockMachine) is never used at runtime, so we remove it.\nSecondary machine 1: main_binary (BlockMachine): 0 / 50462 blocks computed via JIT.\n201848 of 262144 rows are used in machine 'Secondary machine 1: main_binary (BlockMachine)'.\n40180 of 65536 rows are used in machine 'Secondary machine 2: main_memory (DoubleSortedWitnesses32)'.\nSecondary machine 3: main_poseidon_gl (BlockMachine): 0 / 1 blocks computed via JIT.\n31 of 32 rows are used in machine 'Secondary machine 3: main_poseidon_gl (BlockMachine)'.\n362234 of 524288 rows are used in machine 'Secondary machine 5: main_regs (DoubleSortedWitnesses32)'.\nSecondary machine 6: main_shift (BlockMachine): 0 / 11734 blocks computed via JIT.\n46936 of 65536 rows are used in machine 'Secondary machine 6: main_shift (BlockMachine)'.\nSecondary machine 7: main_split_gl (BlockMachine): 0 / 7 blocks computed via JIT.\n56 of 64 rows are used in machine 'Secondary machine 7: main_split_gl (BlockMachine)'.\n\n == Witgen profile (2554854 events)\n 48.7% ( 8.0s): Secondary machine 1: main_binary (BlockMachine)\n 18.4% ( 3.0s): Main machine (Dynamic)\n 12.4% ( 2.0s): Secondary machine 6: main_shift (BlockMachine)\n 10.5% ( 1.7s): FixedLookup\n 6.1% ( 999.6ms): Secondary machine 5: main_regs (DoubleSortedWitnesses32)\n 2.5% ( 404.6ms): witgen (outer code)\n 0.7% ( 114.5ms): Secondary machine 7: main_split_gl (BlockMachine)\n 0.5% ( 78.8ms): Secondary machine 3: main_poseidon_gl (BlockMachine)\n 0.3% ( 54.9ms): Secondary machine 2: main_memory (DoubleSortedWitnesses32)\n 0.0% ( 5.0ms): range constraint multiplicity witgen\n 0.0% ( 9.4µs): Secondary machine 4: main_publics (WriteOnceMemory)\n ---------------------------\n ==> Total: 16.446211875s\n```", + "timestamp": "2024-12-20T12:20:20Z", + "tree_id": "b53f995fd9c92145b963c706d89543813de15d3d", + "url": "https://github.com/powdr-labs/powdr/commit/550a1e680a566f270d666b0fef86e7c09b85f5f1" + }, + "date": 1734700702027, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6867, + "range": "± 13", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 596, + "range": "± 0", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1079, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 29085, + "range": "± 42", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 24301, + "range": "± 22", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 24268, + "range": "± 16", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 17117, + "range": "± 12", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 775233, + "range": "± 1782", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2671537, + "range": "± 2768", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9374895, + "range": "± 8410", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 34448727, + "range": "± 38307", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 137316419, + "range": "± 189614", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3586, + "range": "± 7", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2847, + "range": "± 6", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2847, + "range": "± 5", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1671, + "range": "± 3", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 99566, + "range": "± 64", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 372203, + "range": "± 268", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1434227, + "range": "± 1661", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 6088672, + "range": "± 8060", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 30444770, + "range": "± 95423", + "unit": "ns/iter" + }, + { + "name": "jit-witgen-benchmark/jit_witgen_benchmark", + "value": 51036888084, + "range": "± 385933581", + "unit": "ns/iter" + }, + { + "name": "executor-benchmark/keccak", + "value": 8116167714, + "range": "± 21552285", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "name": "powdr-labs", + "username": "powdr-labs" + }, + "committer": { + "name": "powdr-labs", + "username": "powdr-labs" + }, + "id": "96b36600da04c64223c81d87418760b2511b2624", + "message": "Single step with branching", + "timestamp": "2024-12-20T12:51:48Z", + "url": "https://github.com/powdr-labs/powdr/pull/2274/commits/96b36600da04c64223c81d87418760b2511b2624" + }, + "date": 1734701220772, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 7084, + "range": "± 16", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 597, + "range": "± 0", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1067, + "range": "± 4", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 28942, + "range": "± 19", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 24166, + "range": "± 17", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 24142, + "range": "± 12", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 17077, + "range": "± 9", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 778524, + "range": "± 597", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2688781, + "range": "± 2190", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9403135, + "range": "± 10568", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 34461733, + "range": "± 67913", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 137222567, + "range": "± 182883", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3581, + "range": "± 5", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2856, + "range": "± 6", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2861, + "range": "± 6", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1671, + "range": "± 2", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_33", + "value": 100204, + "range": "± 57", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_100", + "value": 371252, + "range": "± 244", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_300", + "value": 1429186, + "range": "± 1828", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_900", + "value": 6092703, + "range": "± 7824", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sort_2700", + "value": 30427668, + "range": "± 79846", + "unit": "ns/iter" + }, + { + "name": "jit-witgen-benchmark/jit_witgen_benchmark", + "value": 51725605270, + "range": "± 389298426", + "unit": "ns/iter" + }, + { + "name": "executor-benchmark/keccak", + "value": 8231824977, + "range": "± 25014906", + "unit": "ns/iter" + } + ] + }, + { + "commit": { + "author": { + "name": "powdr-labs", + "username": "powdr-labs" + }, + "committer": { + "name": "powdr-labs", + "username": "powdr-labs" + }, + "id": "25b97c23f0bd90162ce7878ccd315368e8b6683d", + "message": "Sponge construction for keccak syscall & Intruction::keccakf", + "timestamp": "2024-12-20T12:51:48Z", + "url": "https://github.com/powdr-labs/powdr/pull/2263/commits/25b97c23f0bd90162ce7878ccd315368e8b6683d" + }, + "date": 1734701616913, + "tool": "cargo", + "benches": [ + { + "name": "evaluator-benchmark/std::math::ff::inverse", + "value": 6806, + "range": "± 7", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::reduce", + "value": 588, + "range": "± 0", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/std::math::ff::mul", + "value": 1055, + "range": "± 1", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_879882356", + "value": 28779, + "range": "± 21", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1882356", + "value": 24071, + "range": "± 16", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_1187956", + "value": 24005, + "range": "± 17", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sqrt_56", + "value": 17034, + "range": "± 11", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_33", + "value": 785167, + "range": "± 851", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_100", + "value": 2712594, + "range": "± 3080", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_300", + "value": 9499825, + "range": "± 9843", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_900", + "value": 34952718, + "range": "± 148236", + "unit": "ns/iter" + }, + { + "name": "evaluator-benchmark/sort_2700", + "value": 138837056, + "range": "± 259278", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_879882356", + "value": 3580, + "range": "± 7", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1882356", + "value": 2829, + "range": "± 6", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_1187956", + "value": 2832, + "range": "± 4", + "unit": "ns/iter" + }, + { + "name": "jit-benchmark/sqrt_56", + "value": 1674, + "range": "± 2", + "unit": "ns/iter" + }, + { + "name": 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u=r[s];u=Math.sqrt(u),this.index[n].addToken(s,{ref:i,tf:u})}},this),n&&this.eventEmitter.emit("add",e,this)}},t.Index.prototype.removeDocByRef=function(e){if(e&&this.documentStore.isDocStored()!==!1&&this.documentStore.hasDoc(e)){var t=this.documentStore.getDoc(e);this.removeDoc(t,!1)}},t.Index.prototype.removeDoc=function(e,n){if(e){var n=void 0===n?!0:n,i=e[this._ref];this.documentStore.hasDoc(i)&&(this.documentStore.removeDoc(i),this._fields.forEach(function(n){var o=this.pipeline.run(t.tokenizer(e[n]));o.forEach(function(e){this.index[n].removeToken(e,i)},this)},this),n&&this.eventEmitter.emit("remove",e,this))}},t.Index.prototype.updateDoc=function(e,t){var t=void 0===t?!0:t;this.removeDocByRef(e[this._ref],!1),this.addDoc(e,!1),t&&this.eventEmitter.emit("update",e,this)},t.Index.prototype.idf=function(e,t){var n="@"+t+"/"+e;if(Object.prototype.hasOwnProperty.call(this._idfCache,n))return this._idfCache[n];var i=this.index[t].getDocFreq(e),o=1+Math.log(this.documentStore.length/(i+1));return this._idfCache[n]=o,o},t.Index.prototype.getFields=function(){return this._fields.slice()},t.Index.prototype.search=function(e,n){if(!e)return[];e="string"==typeof e?{any:e}:JSON.parse(JSON.stringify(e));var i=null;null!=n&&(i=JSON.stringify(n));for(var o=new t.Configuration(i,this.getFields()).get(),r={},s=Object.keys(e),u=0;u0&&t.push(e);for(var i in n)"docs"!==i&&"df"!==i&&this.expandToken(e+i,t,n[i]);return t},t.InvertedIndex.prototype.toJSON=function(){return{root:this.root}},t.Configuration=function(e,n){var e=e||"";if(void 0==n||null==n)throw new Error("fields should not be null");this.config={};var i;try{i=JSON.parse(e),this.buildUserConfig(i,n)}catch(o){t.utils.warn("user configuration parse failed, will use default configuration"),this.buildDefaultConfig(n)}},t.Configuration.prototype.buildDefaultConfig=function(e){this.reset(),e.forEach(function(e){this.config[e]={boost:1,bool:"OR",expand:!1}},this)},t.Configuration.prototype.buildUserConfig=function(e,n){var i="OR",o=!1;if(this.reset(),"bool"in e&&(i=e.bool||i),"expand"in e&&(o=e.expand||o),"fields"in e)for(var r in e.fields)if(n.indexOf(r)>-1){var s=e.fields[r],u=o;void 0!=s.expand&&(u=s.expand),this.config[r]={boost:s.boost||0===s.boost?s.boost:1,bool:s.bool||i,expand:u}}else t.utils.warn("field name in user configuration not found in index instance fields");else this.addAllFields2UserConfig(i,o,n)},t.Configuration.prototype.addAllFields2UserConfig=function(e,t,n){n.forEach(function(n){this.config[n]={boost:1,bool:e,expand:t}},this)},t.Configuration.prototype.get=function(){return this.config},t.Configuration.prototype.reset=function(){this.config={}},lunr.SortedSet=function(){this.length=0,this.elements=[]},lunr.SortedSet.load=function(e){var t=new this;return t.elements=e,t.length=e.length,t},lunr.SortedSet.prototype.add=function(){var e,t;for(e=0;e1;){if(r===e)return o;e>r&&(t=o),r>e&&(n=o),i=n-t,o=t+Math.floor(i/2),r=this.elements[o]}return r===e?o:-1},lunr.SortedSet.prototype.locationFor=function(e){for(var t=0,n=this.elements.length,i=n-t,o=t+Math.floor(i/2),r=this.elements[o];i>1;)e>r&&(t=o),r>e&&(n=o),i=n-t,o=t+Math.floor(i/2),r=this.elements[o];return r>e?o:e>r?o+1:void 0},lunr.SortedSet.prototype.intersect=function(e){for(var t=new lunr.SortedSet,n=0,i=0,o=this.length,r=e.length,s=this.elements,u=e.elements;;){if(n>o-1||i>r-1)break;s[n]!==u[i]?s[n]u[i]&&i++:(t.add(s[n]),n++,i++)}return t},lunr.SortedSet.prototype.clone=function(){var e=new lunr.SortedSet;return e.elements=this.toArray(),e.length=e.elements.length,e},lunr.SortedSet.prototype.union=function(e){var t,n,i;this.length>=e.length?(t=this,n=e):(t=e,n=this),i=t.clone();for(var o=0,r=n.toArray();o + + + + + Examples - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ + + + + + + + + + + + + +
+ +
+ + + + + + + + +
+
+

Examples

+

Besides the Hello World examples, you are encouraged to check out these more +complex and real-world use cases:

+ + +
+ + +
+
+ + + +
+ + + + + + + + + + + + + + + + + + +
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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/fonts/SOURCE-CODE-PRO-LICENSE.txt b/fonts/SOURCE-CODE-PRO-LICENSE.txt new file mode 100644 index 0000000000..366206f549 --- /dev/null +++ b/fonts/SOURCE-CODE-PRO-LICENSE.txt @@ -0,0 +1,93 @@ +Copyright 2010, 2012 Adobe Systems Incorporated (http://www.adobe.com/), with Reserved Font Name 'Source'. All Rights Reserved. Source is a trademark of Adobe Systems Incorporated in the United States and/or other countries. + +This Font Software is licensed under the SIL Open Font License, Version 1.1. +This license is copied below, and is also available with a FAQ at: +http://scripts.sil.org/OFL + + +----------------------------------------------------------- +SIL OPEN FONT LICENSE Version 1.1 - 26 February 2007 +----------------------------------------------------------- + +PREAMBLE +The goals of the Open Font License (OFL) are to stimulate worldwide +development of collaborative font projects, to support the font creation +efforts of academic and linguistic communities, and to provide a free and +open framework in which fonts may be shared and improved in partnership +with others. + +The OFL allows the licensed fonts to be used, studied, modified and +redistributed freely as long as they are not sold by themselves. The +fonts, including any derivative works, can be bundled, embedded, +redistributed and/or sold with any software provided that any reserved +names are not used by derivative works. The fonts and derivatives, +however, cannot be released under any other type of license. The +requirement for fonts to remain under this license does not apply +to any document created using the fonts or their derivatives. + +DEFINITIONS +"Font Software" refers to the set of files released by the Copyright +Holder(s) under this license and clearly marked as such. This may +include source files, build scripts and documentation. + +"Reserved Font Name" refers to any names specified as such after the +copyright statement(s). + +"Original Version" refers to the collection of Font Software components as +distributed by the Copyright Holder(s). + +"Modified Version" refers to any derivative made by adding to, deleting, +or substituting -- in part or in whole -- any of the components of the +Original Version, by changing formats or by porting the Font Software to a +new environment. + +"Author" refers to any designer, engineer, programmer, technical +writer or other person who contributed to the Font Software. + +PERMISSION & CONDITIONS +Permission is hereby granted, free of charge, to any person obtaining +a copy of the Font Software, to use, study, copy, merge, embed, modify, +redistribute, and sell modified and unmodified copies of the Font +Software, subject to the following conditions: + +1) Neither the Font Software nor any of its individual components, +in Original or Modified Versions, may be sold by itself. + +2) Original or Modified Versions of the Font Software may be bundled, +redistributed and/or sold with any software, provided that each copy +contains the above copyright notice and this license. These can be +included either as stand-alone text files, human-readable headers or +in the appropriate machine-readable metadata fields within text or +binary files as long as those fields can be easily viewed by the user. + +3) No Modified Version of the Font Software may use the Reserved Font +Name(s) unless explicit written permission is granted by the corresponding +Copyright Holder. This restriction only applies to the primary font name as +presented to the users. + +4) The name(s) of the Copyright Holder(s) or the Author(s) of the Font +Software shall not be used to promote, endorse or advertise any +Modified Version, except to acknowledge the contribution(s) of the +Copyright Holder(s) and the Author(s) or with their explicit written +permission. + +5) The Font Software, modified or unmodified, in part or in whole, +must be distributed entirely under this license, and must not be +distributed under any other license. The requirement for fonts to +remain under this license does not apply to any document created +using the Font Software. + +TERMINATION +This license becomes null and void if any of the above conditions are +not met. + +DISCLAIMER +THE FONT SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO ANY WARRANTIES OF +MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT +OF COPYRIGHT, PATENT, TRADEMARK, OR OTHER RIGHT. IN NO EVENT SHALL THE +COPYRIGHT HOLDER BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, +INCLUDING ANY GENERAL, SPECIAL, INDIRECT, INCIDENTAL, OR CONSEQUENTIAL +DAMAGES, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING +FROM, OUT OF THE USE OR INABILITY TO USE THE FONT SOFTWARE OR FROM +OTHER DEALINGS IN THE FONT SOFTWARE. diff --git a/fonts/fonts.css b/fonts/fonts.css new file mode 100644 index 0000000000..858efa5980 --- /dev/null +++ b/fonts/fonts.css @@ -0,0 +1,100 @@ +/* Open Sans is licensed under the Apache License, Version 2.0. See http://www.apache.org/licenses/LICENSE-2.0 */ +/* Source Code Pro is under the Open Font License. See https://scripts.sil.org/cms/scripts/page.php?site_id=nrsi&id=OFL */ + +/* open-sans-300 - latin_vietnamese_latin-ext_greek-ext_greek_cyrillic-ext_cyrillic */ +@font-face { + font-family: 'Open Sans'; + font-style: normal; + font-weight: 300; + src: local('Open Sans Light'), local('OpenSans-Light'), + url('open-sans-v17-all-charsets-300.woff2') format('woff2'); +} + +/* open-sans-300italic - latin_vietnamese_latin-ext_greek-ext_greek_cyrillic-ext_cyrillic */ +@font-face { + font-family: 'Open Sans'; + font-style: italic; + font-weight: 300; + src: local('Open Sans Light Italic'), local('OpenSans-LightItalic'), + url('open-sans-v17-all-charsets-300italic.woff2') format('woff2'); +} + +/* open-sans-regular - latin_vietnamese_latin-ext_greek-ext_greek_cyrillic-ext_cyrillic */ +@font-face { + font-family: 'Open Sans'; + font-style: normal; + font-weight: 400; + src: local('Open Sans Regular'), local('OpenSans-Regular'), + url('open-sans-v17-all-charsets-regular.woff2') format('woff2'); +} + +/* open-sans-italic - latin_vietnamese_latin-ext_greek-ext_greek_cyrillic-ext_cyrillic */ +@font-face { + font-family: 'Open Sans'; + font-style: italic; + font-weight: 400; + src: local('Open Sans Italic'), local('OpenSans-Italic'), + url('open-sans-v17-all-charsets-italic.woff2') format('woff2'); +} + +/* open-sans-600 - latin_vietnamese_latin-ext_greek-ext_greek_cyrillic-ext_cyrillic */ +@font-face { + font-family: 'Open Sans'; + font-style: normal; + font-weight: 600; + src: local('Open Sans SemiBold'), local('OpenSans-SemiBold'), + url('open-sans-v17-all-charsets-600.woff2') format('woff2'); +} + +/* open-sans-600italic - latin_vietnamese_latin-ext_greek-ext_greek_cyrillic-ext_cyrillic */ +@font-face { + font-family: 'Open Sans'; + font-style: italic; + font-weight: 600; + src: local('Open Sans SemiBold Italic'), local('OpenSans-SemiBoldItalic'), + url('open-sans-v17-all-charsets-600italic.woff2') format('woff2'); +} + +/* open-sans-700 - latin_vietnamese_latin-ext_greek-ext_greek_cyrillic-ext_cyrillic */ +@font-face { + font-family: 'Open Sans'; + font-style: normal; + font-weight: 700; + src: local('Open Sans Bold'), local('OpenSans-Bold'), + url('open-sans-v17-all-charsets-700.woff2') format('woff2'); +} + +/* open-sans-700italic - latin_vietnamese_latin-ext_greek-ext_greek_cyrillic-ext_cyrillic */ +@font-face { + font-family: 'Open Sans'; + font-style: italic; + font-weight: 700; + src: local('Open Sans Bold Italic'), local('OpenSans-BoldItalic'), + url('open-sans-v17-all-charsets-700italic.woff2') format('woff2'); +} + +/* open-sans-800 - latin_vietnamese_latin-ext_greek-ext_greek_cyrillic-ext_cyrillic */ +@font-face { + font-family: 'Open Sans'; + font-style: normal; + font-weight: 800; + src: local('Open Sans ExtraBold'), local('OpenSans-ExtraBold'), + url('open-sans-v17-all-charsets-800.woff2') format('woff2'); +} + +/* open-sans-800italic - latin_vietnamese_latin-ext_greek-ext_greek_cyrillic-ext_cyrillic */ +@font-face { + font-family: 'Open Sans'; + font-style: italic; + font-weight: 800; + src: local('Open Sans ExtraBold Italic'), local('OpenSans-ExtraBoldItalic'), + url('open-sans-v17-all-charsets-800italic.woff2') format('woff2'); +} + +/* source-code-pro-500 - latin_vietnamese_latin-ext_greek_cyrillic-ext_cyrillic */ +@font-face { + font-family: 'Source Code Pro'; + font-style: normal; + font-weight: 500; + src: url('source-code-pro-v11-all-charsets-500.woff2') format('woff2'); +} diff --git a/fonts/open-sans-v17-all-charsets-300.woff2 b/fonts/open-sans-v17-all-charsets-300.woff2 new file mode 100644 index 0000000000000000000000000000000000000000..9f51be370fa913ce6de2922b580c262c4822b337 GIT binary patch literal 44352 zcmV(;K-<4}Pew8T0RR910Ifg(5dZ)H0f7hr0Ib{q0RR9100000000000000000000 z0000QE*lUWfmQ}!0EY+&fhq})G!YOAg!yQMtSAeP3IG8%0we>R0t6rhgFFYi4Ge-h zTM$x_K;*{m=TyO<(oF`$dr#+gT@uRz<@OP72f1way{Ld4djxa`IG0*=K;{4c|Nq>i zF~-^s+Z{rPn$}0zLzV=G*ddk#MfRZCOSo7Svxg)@O1QTM(GtC{-8am>TkfXJ&}5JO 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Frontends - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Frontends

    +

    While any frontend VM can be implemented in powdr-asm, powdr comes with several frontends for popular instruction set architectures.

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/frontends/riscv.html b/frontends/riscv.html new file mode 100644 index 0000000000..93f83eb763 --- /dev/null +++ b/frontends/riscv.html @@ -0,0 +1,244 @@ + + + + + + RISCV - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    RISCV

    +

    A RISCV frontend for powdr is already available.

    +

    How to run the Rust-RISCV example

    +
    # Install the riscv target for the rust compiler
+rustup target add riscv32imac-unknown-none-elf
+# Run the powdr-rs compiler. It will generate files in ./output/
+powdr-rs compile riscv/tests/riscv_data/sum -o output
+# Run powdr to compile powdr-asm to powdr-PIL and generate the witness
+# -i specifies the prover witness input (see below)
+powdr pil output/sum.asm -o output -f -i 10,2,4,6
+
    +

    The example Rust code verifies that a supplied list of integers sums up to a specified value.

    +
    #![no_main]
+#![no_std]
+
+extern crate alloc;
+use alloc::vec::Vec;
+
+use powdr_riscv_runtime::io::read_u32;
+
+#[no_mangle]
+pub fn main() {
+    // This is the sum claimed by the prover.
+    let proposed_sum = read_u32(0);
+    // The number of integers we want to sum.
+    let len = read_u32(1) as usize;
+    // Read the numbers from the prover and store them
+    // in a vector.
+    let data: Vec<_> = (2..(len + 2)).map(|idx| read_u32(idx as u32)).collect();
+    // Compute the sum.
+    let sum: u32 = data.iter().sum();
+    // Check that our sum matches the prover's.
+    assert_eq!(sum, proposed_sum);
+}
    +

    The function read_u32 reads a number from the list supplied with -i.

    +

    This is just a first mechanism to provide access to the outside world. +The plan is to be able to call arbitrary user-defined ffi functions that will translate to prover queries, +and can then ask for e.g. the value of a storage slot at a certain address or the root hash of a Merkle tree.

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/frontends/valida.html b/frontends/valida.html new file mode 100644 index 0000000000..31f40a6da2 --- /dev/null +++ b/frontends/valida.html @@ -0,0 +1,208 @@ + + + + + + Valida - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Valida

    +

    A Valida front end for powdr is under development. If you are interested, feel free to reach out!

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/frontends/zk-continuations.html b/frontends/zk-continuations.html new file mode 100644 index 0000000000..5536c3d0e5 --- /dev/null +++ b/frontends/zk-continuations.html @@ -0,0 +1,320 @@ + + + + + + zk-Continuations - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    RISCV and ZK-Continuations

    +

    ZK-continuations can be used to make proofs for unbounded execution traces of +Rust programs, where the trace is split into many different chunks. A proof +is computed for each chunk, and all proofs can be combined with +recursion/aggregation until a single proof remains.

    +

    For the details of how memory is handled in the ZK-continuations case please +see this.

    +

    powdr-rs has experimental support to ZK-continuations, which can be used as follows.

    +

    Let's use as example test many chunks from the riscv crate:

    +
    #![no_main]
+#![no_std]
+
+extern crate alloc;
+extern crate powdr_riscv_runtime;
+use alloc::vec::Vec;
+
+#[no_mangle]
+pub fn main() {
+    let mut foo = Vec::new();
+    foo.push(1);
+
+    for _ in 0..100 {
+        foo.push(foo.iter().sum());
+    }
+
+    // Compute some fibonacci numbers
+    // -> Does not access memory but also does not get optimized out...
+    let mut a = 1;
+    let mut b = 1;
+    for _ in 0..150000 {
+        let tmp = a + b;
+        a = b;
+        b = tmp;
+    }
+    // Don't optimize me away :/
+    assert!(a > 0);
+}
    +

    First we need to compile the Rust code to powdr-asm:

    +
    powdr-rs compile riscv/tests/riscv_data/many_chunks
+
    +

    Now we can use powdr's RISCV executor to estimate how many cycles are needed:

    +
    powdr-rs execute many_chunks.asm
+
    +
    ...
+Execution trace length: 750329
+
    +

    By default, powdr-RISCV uses chunks of length 2^18. That means we will need at +least 3 chunks.

    +

    For the continuations case, the compiled assembly code looks different because +of the external memory commitments, so we need to recompile using the +--continuations flag:

    +
    powdr-rs compile riscv/tests/riscv_data/many_chunks --continuations
+
    +

    We can now execute the program with continuations enabled:

    +
    powdr-rs -- execute many_chunks.asm --continuations
+
    +

    The output now is longer:

    +
    Running chunk 0...
+Building bootloader inputs for chunk 0...
+26 unique memory accesses over 2 accessed pages: {31, 32}
+Estimating the shutdown routine to use 1362 rows.
+Bootloader inputs length: 1285
+Simulating chunk execution...
+Initial memory root hash: 44cd91c12033ad4c6a6b19793b73f1a66d99a0e0bf63494c12ceb1f451ec9452
+Final memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125
+Chunk trace length: 260782
+Validating chunk...
+Bootloader used 3134 rows.
+  => 257648 / 262144 (98%) of rows are used for the actual computation!
+Proved 257647 rows.
+
+Running chunk 1...
+Building bootloader inputs for chunk 1...
+0 unique memory accesses over 0 accessed pages: {}
+Estimating the shutdown routine to use 42 rows.
+Bootloader inputs length: 83
+Simulating chunk execution...
+Initial memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125
+Final memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125
+Chunk trace length: 262102
+Validating chunk...
+Bootloader used 62 rows.
+  => 262040 / 262144 (99%) of rows are used for the actual computation!
+Proved 262039 rows.
+
+Running chunk 2...
+Building bootloader inputs for chunk 2...
+2 unique memory accesses over 1 accessed pages: {31}
+Estimating the shutdown routine to use 702 rows.
+Bootloader inputs length: 684
+Simulating chunk execution...
+Initial memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125
+Final memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125
+Chunk trace length: 232057
+Validating chunk...
+Bootloader used 1610 rows.
+  => 259832 / 262144 (99%) of rows are used for the actual computation!
+Done!
+
    +

    The step above is informational, but for the proofs we also need the full witness:

    +
    powdr-rs execute many_chunks.asm --witness
+
    +

    The witnesses are written in ./chunk_0/commits.bin, ./chunk_1/commits.bin +and ./chunk_2/commits.bin.

    +

    Now that we have the witnesses for all chunks we can use powdr (instead of +powdr-rs) to compute proofs for each chunk:

    +
    powdr prove many_chunks.asm -d chunk_0 --backend estark-dump
+powdr prove many_chunks.asm -d chunk_1 --backend estark-dump
+powdr prove many_chunks.asm -d chunk_2 --backend estark-dump
+
    +

    These proofs are mock proofs for the sake of the example, but any backend +should work here.

    +

    After generating real proofs, each specific proof system can be used for the +recursion/aggregation parts. A follow-up tutorial on that is coming soon.

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/hello_world.html b/hello_world.html new file mode 100644 index 0000000000..53947bff57 --- /dev/null +++ b/hello_world.html @@ -0,0 +1,244 @@ + + + + + + Hello World - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Hello World

    +

    Let's write a minimal VM and generate proofs!

    +
    machine HelloWorld with degree: 8 {
+    reg pc[@pc];
+    reg X[<=];
+    reg Y[<=];
+    reg A;
+
+    instr incr X -> Y {
+        Y = X + 1
+    }
+
+    instr decr X -> Y {
+        Y = X - 1
+    }
+
+    instr assert_zero X {
+        X = 0
+    }
+
+    function main {
+        // assign the first prover input to A
+        A <=X= ${ std::prelude::Query::Input(0, 1) };
+
+        // increment A
+        A <== incr(A);
+
+        // decrement A
+        A <== decr(A);
+
+        // assert that A is zero
+        assert_zero A;
+
+        return;
+    }
+}
+
    +

    Let's go through different possible usages of powdr, starting with using the powdr CLI.

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/hello_world_cli.html b/hello_world_cli.html new file mode 100644 index 0000000000..4250b8aa21 --- /dev/null +++ b/hello_world_cli.html @@ -0,0 +1,278 @@ + + + + + + in the CLI - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Hello World using the CLI

    +

    Let's generate a proof of execution for the valid prover input 0 (since 0 + 1 - 1 == 0)

    +
    powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 1 --prove-with halo2
+
    +

    We observe that several artifacts are created in the current directory:

    +
      +
    • hello_world.pil: the compiled PIL file.
      • +
    • hello_world_opt.pil: the optimized PIL file.
      • +
    • hello_world_constants.bin: the computed fixed columns which only have to be computed once per PIL file.
      • +
    • hello_world_commits.bin: the computed witness which needs to be computed for each proof.
      • +
    • hello_world_proof.bin: the ZK proof!
      • +
    +
    +

    Note that the output directory can be specified with option -o|--output, and . is used by default.

    +
    +

    Now let's try for the invalid input 1:

    +
    powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 2 --prove-with halo2
+
    +

    In this case witness generation fails, and no proof is created.

    +

    Setup & Verification

    +

    The example above omits some important steps in proof generation: Setup and +Verification key generation. Some proof systems such as Halo2 , require a Setup to be performed before the proof. Such Setup can be +specific to the program or universal, where its artifact is a binary usually +called parameters or params. STARKs do not require a Setup.

    +

    Another step required before the proof is computed is key generation. A +proving key and a verification key are generated taking into account the +constraints and potentially Setup parameters. The proving key is used by the +prover to generate the proof, and the verification key is used by the verifier +to verify such a proof. A single verification key can be used to verify any +number of different proofs for a given program.

    +

    Therefore, when computing a proof, it is important that the Setup parameters +and the verification key are available as artifacts.

    +

    Below we reproduce the same proof as in the example above, keeping the +artifacts needed for verification:

    +

    First we run the Setup, where the number given must match the degree of our +source file (degree 8). The command below generates file params.bin.

    +
    powdr setup 8 --backend halo2 --field bn254
+
    +

    We can now compute the verification key, output in vkey.bin:

    +
    powdr verification-key test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --params "params.bin"
+
    +
    +

    The command above can read previously generated constants from the directory +specified via -d|--dir, where . is used by default. If the constants are not present +it computes them before generating the verification key.

    +
    +

    The next command compiles and optimizes the given source, generating the file +hello_world_opt.pil. It also computes both the fixed data and the witness +needed for the proof, stored respectively in hello_world_constants.bin and +hello_world_commits.bin.

    +
    powdr pil test_data/asm/book/hello_world.asm --field bn254 --force --inputs 0
+
    +

    We can now generate the proof:

    +
    powdr prove test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --params "params.bin" --vkey "vkey.bin"
+
    +

    The proof can be verified by anyone via:

    +
    powdr verify test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --vkey "vkey.bin" --params "params.bin" --proof "hello_world_proof.bin"
+
    +
    +

    Note that CLI proof verification works analogously for eSTARK, without the setup step and using the Goldilocks field instead of Bn254.

    +
    +

    Another aspect that was omitted in this example is the fact that this proof +uses a Poseidon transcript and cannot be verified in a cheap way on Ethereum, +even though we can verify it efficiently via powdr. +There are two ways to enable verification on Ethereum:

    +
      +
    1. Use a different transcript when generating this proof. See section +Hello World on Ethereum for the same example targeting EVM verification.
      2. +
    2. Use proof aggregation to compress the proof using a +circuit that can be verified on Ethereum. See section +Hello World on Ethereum via proof aggregation to learn how to do that.
      3. +
    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/hello_world_ethereum.html b/hello_world_ethereum.html new file mode 100644 index 0000000000..0177df3f94 --- /dev/null +++ b/hello_world_ethereum.html @@ -0,0 +1,235 @@ + + + + + + verified on Ethereum - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Hello World on Ethereum

    +

    This example is a variation of the previous Hello World, +targeting verification on Ethereum. In this example we will cover how to +generate proofs directly using a Keccak transcript instead of the Poseidon +transcript of the previous example, which will enable us to verify proofs +onchain. There are almost no differences from the CLI perspective.

    +

    Since the following command creates a proof, a Solidity verifier, and verifies +the proof on the EVM, we need to have solc available in the system. One easy +way to install it is by using svm.

    +
    powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 0 --prove-with halo2 --backend-options "snark_single" -f --params params.bin
+
    +

    The extra parameter --backend-options snark_single tells powdr to produce a single +SNARK that uses Keccak. The option -f forces overwriting the compiled files +that have been generated before, which is useful if you are running the examples +in the same directory.

    +

    When the proof is generated, it is verified on a simulated EVM transaction as well!

    +
    Verifying SNARK in the EVM...
+
    +

    We can observe again that a proof was created at hello_world_proof.bin.

    +

    Now we can generate a Solidity verifier, using the same setup (params) as the +previous example:

    +
    powdr export-verifier test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "snark_single" --params params.bin
+
    +

    A Solidity file verifier.sol is generated. You can verify the same proof that +we just generated by passing it to the contract together with the public inputs +(which we have not used so far).

    +
    +

    Note that the more complex your VM is, the larger the verifier contract will be. In some cases, it might exceed Ethereum's contract size limit. You can mitigate that by using proof recursion on proofs that use Poseidon transcripts. See the next section for details.

    +
    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/hello_world_ethereum_aggregation.html b/hello_world_ethereum_aggregation.html new file mode 100644 index 0000000000..0b1aa23044 --- /dev/null +++ b/hello_world_ethereum_aggregation.html @@ -0,0 +1,266 @@ + + + + + + verified on Ethereum with proof aggregation - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Hello World on Ethereum with proof aggregation

    +

    As noted in the previous section, complex VMs can lead to large +Solidity verifiers that exceed the contract size limit on Ethereum. One +solution to that problem is to create proofs using the Poseidon transcript, as +we did in the first example, and then use proof +recursion to create a proof that we know we will be able to verify on Ethereum.

    +

    A recursive SNARK works by generating a proof for a circuit that verifies +another proof. The circuit we are using here to prove our initial proof +recursively is PSE's snark-verifier. This circuit is large enough +to be able to prove complex programs that were proven initial with the Poseidon +transcript, like our first example. Because of that our aggregation setup +params and verification key are going to be larger than before and take +longer to compute. The good news are that (i) we can use a pre-computed setup +from a previous ceremony, and (ii) the verification key only has to be computed +once per program.

    +

    First, we need a setup of "size" 2^22. This is the maximum execution trace length of the recursion circuit.

    +

    You can generate it using the command line below, or download a pre-computed +one here.

    +

    This will take a couple minutes if you decide to compute it yourself:

    +
    powdr setup 4194304 --backend halo2 --field bn254
+
    +

    We can re-use the new large params.bin for both initial and recursive proofs. +Let's start by re-computing our Poseidon proof like in the first example, +but using our new setup file:

    +
    powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 0 --prove-with halo2 --backend-options "poseidon" -f --params params.bin
+
    +

    This generates the initial proof hello_world_proof.bin. +We'll also need a verification key:

    +
    powdr verification-key test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "poseidon" --params params.bin
+
    +

    Let's verify the proof with our fresh verification key to make sure we're on the right track:

    +
    powdr verify test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "poseidon" --params params.bin --vkey vkey.bin --proof hello_world_proof.bin
+
    +

    In order to avoid confusion between the application's artifacts +that we've just generated and the recursion one we're going to generate +later, let's rename them:

    +
    mv vkey.bin vkey_app.bin
+mv hello_world_proof.bin hello_world_proof_app.bin
+
    +

    We can now generate a verification key for the Halo2 circuit that verifies our proofs recursively. This might take up to a minute.

    +
    powdr verification-key test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "snark_aggr" --params params.bin --vkey-app vkey_app.bin
+
    +
    +

    Note that this verification key can only be used to verify recursive proofs that verify other proofs using the application's key vkey_app.bin.

    +
    +

    We can now generate the recursive proof (this typically takes a few minutes and uses around 28gb RAM):

    +
    powdr prove test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "snark_aggr" --params params.bin --vkey vkey.bin --vkey-app vkey_app.bin --proof hello_world_proof_app.bin
+
    +

    We have a proof! Note that it contains two fields, proof and +publics. The proof object contains the binary encoding of the proof +points, and the publics object contains the public accumulator limbs that we +need in order to verify the recursive proof.

    +

    We can now verify the proof, using the publics object as input (your numbers will be different):

    +
    powdr verify test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "snark_aggr" --params params.bin --vkey vkey.bin --proof hello_world_proof_aggr.bin --publics "269487626280642378794,9378970522278219882,62304027188881225691,811176493438944,234778270138968319485,3212529982775999134,171155758373806079356,207910400337448,188563849779606300850,155626297629081952942,194348356185923309508,433061951018270,34598221006207900280,283775241405787955338,79508596887913496910,354189825580534"
+
    +

    Since the goal of the recursive proof was to be able to verify it on Ethereum, let's do that!

    +
    powdr export-verifier test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "snark_aggr" --params params.bin --vkey vkey.bin
+
    +

    A Solidity verifier is created in verifier.sol. The contract expects an array of the accumulators' limbs followed by a tightly packed proof, where each accumulator limb uses 32 bytes, and there is no function signature.

    +

    Note that this verifier can be used to verify any recursive proof that verifies exactly one Poseidon proof of the given circuit.

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/highlight.css b/highlight.css new file mode 100644 index 0000000000..352c79b961 --- /dev/null +++ b/highlight.css @@ -0,0 +1,83 @@ +/* + * An increased contrast highlighting scheme loosely based on the + * "Base16 Atelier Dune Light" theme by Bram de Haan + * (http://atelierbram.github.io/syntax-highlighting/atelier-schemes/dune) + * Original Base16 color scheme by Chris Kempson + * (https://github.com/chriskempson/base16) + */ + +/* Comment */ +.hljs-comment, +.hljs-quote { + color: #575757; +} + +/* Red */ +.hljs-variable, +.hljs-template-variable, +.hljs-attribute, +.hljs-attr, +.hljs-tag, +.hljs-name, +.hljs-regexp, +.hljs-link, +.hljs-name, +.hljs-selector-id, +.hljs-selector-class { + color: #d70025; +} + +/* Orange */ +.hljs-number, +.hljs-meta, +.hljs-built_in, +.hljs-builtin-name, +.hljs-literal, +.hljs-type, +.hljs-params { + color: #b21e00; +} + +/* Green */ +.hljs-string, +.hljs-symbol, +.hljs-bullet { + color: #008200; +} + +/* Blue */ +.hljs-title, 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b/index.html @@ -0,0 +1,211 @@ + + + + + + Introduction - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Introduction

    +

    powdrVM is a versatile zkVM built on the powdr stack, supporting std Rust, +multiple proof systems, and zk-continuations for unbounded execution. +Designed for flexibility, powdrVM enables efficient proof generation for complex applications with minimal setup.

    +

    Contributing

    +

    powdrVM is free and open source. +You can find the source code on GitHub. +Issues and feature requests can be posted on the GitHub issue tracker.

    +

    License

    + +

    The powdr source and documentation are released under the MIT License.

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/installation_sdk.html b/installation_sdk.html new file mode 100644 index 0000000000..a7cd366ad5 --- /dev/null +++ b/installation_sdk.html @@ -0,0 +1,260 @@ + + + + + + Installation - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Installation

    +

    The only way to install powdr currently is to build it from source. +There are two binaries,

    +
      +
    • powdr compiles powdr-asm files to powdr-PIL and generates +witnesses and proofs.
      • +
    • powdr-rs compiles Rust crates to powdr-asm via RISCV, and executes +powdr-asm code with given inputs.
      • +
    +

    Prerequisites

    +

    You will need the Rust compiler and Cargo, the Rust package manager. +The easiest way to install both is with rustup.rs.

    +

    On Windows, you will also need a recent version of Visual Studio, +installed with the "Desktop Development With C++" Workloads option.

    +

    If you want to enable the estark-polygon feature, you also need the following +runtime dependencies:

    +
      +
    • gcc
      • +
    • nlohmann-json3-dev
      • +
    +

    You will also need the following build time dependencies:

    +
      +
    • make
      • +
    • pkg-config
      • +
    • libpqxx-dev (Ubuntu) | libpqxx (Arch Linux)
      • +
    • nasm
      • +
    +

    Building powdr

    +

    Using a single Cargo command, enabling the Halo2 and Plonky3 backends:

    +
    cargo install --git https://github.com/powdr-labs/powdr --features halo2,plonky3 powdr-cli
+
    +

    With SIMD support for the provers that support it:

    +
    RUSTFLAGS='-C target-cpu=native' cargo install --git https://github.com/powdr-labs/powdr --features halo2,plonky3,plonky3-simd powdr-cli
+
    +

    Or, by manually building from a local copy of the powdr repository:

    +
    # clone the repository
+git clone https://github.com/powdr-labs/powdr.git
+cd powdr
+# install powdr-cli
+cargo install --features halo2,plonky3 --path ./cli
+# install powdr-cli with SIMD support (only for the crates that support it)
+RUSTFLAGS='-C target-cpu=native' cargo install --features halo2,plonky3,plonky3-simd --path ./cli
+
    +

    Building powdr-rs

    +

    Using a single Cargo command:

    +
    cargo install --git https://github.com/powdr-labs/powdr powdr-rs-cli
+
    +

    Or, by manually building from a local copy of the powdr repository:

    +
    # clone the repository
+git clone https://github.com/powdr-labs/powdr.git
+cd powdr
+# install powdr-rs-cli
+cargo install --path ./cli-rs
+
    + +
    + + +
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    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/installation_vm.html b/installation_vm.html new file mode 100644 index 0000000000..50a2351df5 --- /dev/null +++ b/installation_vm.html @@ -0,0 +1,214 @@ + + + + + + Installation - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Installation

    +

    The easiest way to start making ZK proofs with powdrVM is to install cargo-powdr:

    +
    cargo install cargo-powdr
+
    +

    cargo-powdr is used to create and manage powdrVM projects, similar to cargo itself.

    +

    Prerequisites

    +

    You will need the Rust compiler and Cargo, the Rust package manager. +The easiest way to install both is with rustup.rs.

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/mark.min.js b/mark.min.js new file mode 100644 index 0000000000..1636231883 --- /dev/null +++ b/mark.min.js @@ -0,0 +1,7 @@ +/*!*************************************************** +* mark.js v8.11.1 +* https://markjs.io/ +* Copyright (c) 2014–2018, Julian Kühnel +* Released under the MIT license https://git.io/vwTVl +*****************************************************/ +!function(e,t){"object"==typeof exports&&"undefined"!=typeof module?module.exports=t():"function"==typeof define&&define.amd?define(t):e.Mark=t()}(this,function(){"use strict";var e="function"==typeof Symbol&&"symbol"==typeof Symbol.iterator?function(e){return typeof e}:function(e){return e&&"function"==typeof Symbol&&e.constructor===Symbol&&e!==Symbol.prototype?"symbol":typeof e},t=function(e,t){if(!(e instanceof t))throw new TypeError("Cannot call a class as a function")},n=function(){function e(e,t){for(var n=0;n1&&void 0!==arguments[1])||arguments[1],i=arguments.length>2&&void 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i.matches(e,this.opt.exclude.concat(["script","style","title","head","html"]))}},{key:"wrapRangeInTextNode",value:function(e,t,n){var r=this.opt.element?this.opt.element:"mark",i=e.splitText(t),o=i.splitText(n-t),a=document.createElement(r);return a.setAttribute("data-markjs","true"),this.opt.className&&a.setAttribute("class",this.opt.className),a.textContent=i.textContent,i.parentNode.replaceChild(a,i),o}},{key:"wrapRangeInMappedTextNode",value:function(e,t,n,r,i){var o=this;e.nodes.every(function(a,s){var c=e.nodes[s+1];if(void 0===c||c.start>t){if(!r(a.node))return!1;var u=t-a.start,l=(n>a.end?a.end:n)-a.start,h=e.value.substr(0,a.start),f=e.value.substr(l+a.start);if(a.node=o.wrapRangeInTextNode(a.node,u,l),e.value=h+f,e.nodes.forEach(function(t,n){n>=s&&(e.nodes[n].start>0&&n!==s&&(e.nodes[n].start-=l),e.nodes[n].end-=l)}),n-=l,i(a.node.previousSibling,a.start),!(n>a.end))return!1;t=a.end}return!0})}},{key:"wrapGroups",value:function(e,t,n,r){return r((e=this.wrapRangeInTextNode(e,t,t+n)).previousSibling),e}},{key:"separateGroups",value:function(e,t,n,r,i){for(var o=t.length,a=1;a-1&&r(t[a],e)&&(e=this.wrapGroups(e,s,t[a].length,i))}return e}},{key:"wrapMatches",value:function(e,t,n,r,i){var o=this,a=0===t?0:t+1;this.getTextNodes(function(t){t.nodes.forEach(function(t){t=t.node;for(var i=void 0;null!==(i=e.exec(t.textContent))&&""!==i[a];){if(o.opt.separateGroups)t=o.separateGroups(t,i,a,n,r);else{if(!n(i[a],t))continue;var s=i.index;if(0!==a)for(var c=1;c + + + + + Built-in Functions - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Built-ins

    +

    Functions

    +

    The following functions are built into the compiler. +They need to be defined to be accessible, but their assigned value is ignored and the compiler replaces it with the following.

    +

    Array length

    +
    let<T> std::array::len: T[] -> int
    +

    Returns the length of an array as an integer.

    +

    Example:

    +
    let x = [1, 2, 3];
+let l = std::array::len(x); // returns 3
    +

    Panic

    +
    let std::check::panic: string -> !
    +

    Aborts evaluation and prints its argument as error message as a +side-effect of its evaluation.

    +

    Since panic does not generate a constraint, it cannot be used +for correctness checks. The verifier only checks constraints / identities and +thus ignores anything that could lead to a panic. Panic should only +be used to check prover-internal consistency.

    +

    Example:

    +
    let secp256k1_inverse = |x|
+    if x == std::convert::fe(0) {
+        panic!("Tried to compute the inverse of zero.")
+    } else {
+        std::math::ff::inverse(x, secp256k1_modulus);
+    };
    +

    Conversions

    +
    let<T: FromLiteral> std::convert::fe: T -> fe
    +

    This function is meant to be used on int, but also works on fe for convenience.

    +

    It converts a non-negative integer less than the field modulus to a field element. +Causes a type error in all other cases.

    +

    If the argument is already a field element, it is returned without modification.

    +
    let<T: FromLiteral> std::convert::int: T -> int
    +

    This function is meant to be used on fe, but also works on int for convenience.

    +

    It converts a field element to an integer.

    +

    If the argument is already an integer, it is returned without modification.

    +
    let<T: FromLiteral> std::convert::expr: T -> expr
    +

    This function is meant to be used on int, but also works on fe and expr for convenience.

    +

    It converts an integer to an expr.

    +

    If the argument is already an expr, it is returned without modification.

    +

    Printing

    +
    let std::debug::print: string -> Constr[]
    +

    This function takes a string and prints it on the standard output during evaluation, as a side-effect of its evaluation.

    +

    This function should only be used for debugging purposes.

    +

    Note that the function does not append a newline at the end.

    +

    It returns an empty Constr array so that it can be used at statement level where +constraints are expected.

    +

    Modulus

    +
    let std::field::modulus: -> int
    +

    Returns the current field's modulus as an integer.

    +

    Example:

    +
    // Inside a machine
+if std::field::modulus() != 2**64 - 2**32 + 1 {
+    panic!("This machine can only be used with the Goldilocks field.")
+} else {
+    []
+};
    +

    Evaluate

    +
    let std::prover::eval: expr -> fe
    +

    Evaluates a column (potentially with ' applied) on the current row.

    +

    This function can only be used for prover queries or hints and it only +works on columns (and those with ' applied). This means you cannot use +std::prover::eval(x + 1).

    +

    In the following example, the column x is evaluated in a prover +hint that returns the square root of a number. +Example:

    +
    machine Sqrt {
+    let sqrt_hint: fe -> fe = |x| match x {
+        // Code to compute the square root of x goes here.
+    };
+
+    col witness x;
+    col witness y(i) query std::prelude::Query::Hint(sqrt_hint(std::prover::eval(x)));
+
+    y * y = x;
+
+}}
    +

    Challenges

    +
    let std::prelude::challenge: int, int -> expr
    +

    Constructs a challenge object, essentially asking the verifier for a random number.

    +

    The first argument is the proof stage and the second is the identifier of the challenge.

    +

    If you want two challenges to be different, you have to choose different IDs.

    +

    Degree

    +
    let std::prover::min_degree: -> int
+let std::prover::max_degree: -> int
+let std::prover::degree: -> int
    +

    The degree function returns the number of rows / the length of the witness columns, also +known as the degree. Outside of fixed column definitions, degree fails if min_degree and max_degree are different.

    +

    Hints

    +
    let std::prelude::set_hint: expr, (int -> std::prelude::Query) -> ()
    +

    This function can be used to set a "query function" for a witness column. +Query functions are used during witness generation and allow witness column cells +to receive a value even though they are not uniquely constrained by the constraints.

    +

    The first argument must be a witness column and the function can only be called +once per witness column.

    +

    Types

    +

    There are some types that are not proper built-in types (in the sense that they are not treated +specially in the type system), but they are defined in the +standard library and are referenced by built-in functions.

    +

    Constr

    +

    The type Constr or more specifically, std::prelude::Constr is the type of a constraint. +Expressions at statement level are required to evaluate either to Constr or Constr[].

    +

    It is defined as follows:

    +
    enum Constr {
+    /// A polynomial identity.
+    Identity(expr, expr),
+    /// A lookup constraint with selectors.
+    Lookup((Option<expr>, Option<expr>), (expr, expr)[]),
+    /// A permutation constraint with selectors.
+    Permutation((Option<expr>, Option<expr>), (expr, expr)[]),
+    /// A connection constraint (copy constraint).
+    Connection((expr, expr)[])
+}
    +

    The operator = can be applied on two expr values and results in a Constr::Identity.

    +

    The type implements no traits and allows no operators.

    +

    Operators

    +

    The following operators are supported by powdr-pil with their respective signatures.

    +
    let<T: Add> +: T, T -> T
+let<T: Sub> -: T, T -> T
+let<T: Neg> -: T -> T
+
+let<T: Mul> *: T, T -> T
+let /: int, int -> int
+let %: int, int -> int
+let<T: Pow> **: T, int -> T
+
+let <<: int, int -> int
+let >>: int, int -> int
+let &: int, int -> int
+let |: int, int -> int
+let ^: int, int -> int
+
+let<T: Ord> <: T, T -> bool
+let<T: Ord> <=: T, T -> bool
+let<T: Ord> >: T, T -> bool
+let<T: Ord> >=: T, T -> bool
+
+let<T: Eq> ==: T, T -> bool
+let<T: Eq> !=: T, T -> bool
+
+let =: expr, expr -> Constr
+let ': expr -> expr
+
+let ||: bool, bool -> bool
+let &&: bool, bool -> bool
+let !: bool -> bool
+
    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/pil/declarations.html b/pil/declarations.html new file mode 100644 index 0000000000..0a0f83bb23 --- /dev/null +++ b/pil/declarations.html @@ -0,0 +1,252 @@ + + + + + + Declarations - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Declarations

    +

    Powdr-pil allows the same syntax to declare various kinds of symbols. This includes +constants, fixed columns, witness columns and even higher-order functions. It deduces the symbol kind +from the type of the symbol and the way the symbol is used.

    +

    Symbols can be declared using let <name>; and they can be declared and defined +using let <name> = <value>;, where <value> is an expression. The type of the symbol +can be explicitly specified using let <name>: <type>; and let <name>: <type> = <value>;. +Symbols with a generic type can be defined using let<TV1, TV1, ..> <name>: <type> = <value>;, +where the TV are newly created type variables that can be used in the type.

    +

    This syntax can be used for constants, fixed columns, witness columns and even (higher-order) +functions that can transform expressions. The kind of symbol is deduced by its type and whether +it is has a value:

    +
      +
    • Symbols without a value are witness columns or arrays of witness columns. Their type can be omitted. If it is given, it must be col or col[k].
      • +
    • Symbols defined with a value and type col (or col[k]) are fixed columns (or arrays of fixed columns).
      • +
    • Symbols defined with a value and type inter (or inter[k]) are intermediate columns (or arrays of intermediate columns).
      • +
    • Everything else is a "generic symbol" that is not a column.
      • +
    +

    Examples:

    +
        // This defines a integer constant. We can omit the type when it is used
+    // somewhere that constrains its type. Since it is not used below,
+    // we have to specify `: int` (another option would be `fe`, field element).
+    let rows: int = 16;
+    // This defines a fixed column that contains the row number in each row.
+    // Only symbols whose type is "col" are considered fixed columns.
+    let step: col = |i| i;
+    // Here, we have a witness column, the do not need an explicit `: col`.
+    let x;
+    // This functions defines a fixed column where each cell contains the
+    // square of its row number.
+    let square: col = |x| x*x;
+    // This is a generic function that computes the sum of an array
+    // given its length.
+    // It is not stored as a column.
+    // If it is used in a constraint, it has to be evaulated, while
+    // columns must be used symbolically.
+    let<T: Add + FromLiteral> sum: T[], int -> T = |a, len| match len {
+        0 => 0,
+        _ => sum(a, len - 1) + a[len - 1],
+    };
+    // This is a constraint that uses the `sum` function:
+    sum([x, step], 2) = 0;
    +

    Name lookup is performed as follows:

    +

    Lookup is performed starting from the current namespace, going up to the root component by component +where the first match is used. If all lookups fail, a last attempt is done +inside the std::prelude namespace.

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/pil/expressions.html b/pil/expressions.html new file mode 100644 index 0000000000..32df8045c3 --- /dev/null +++ b/pil/expressions.html @@ -0,0 +1,368 @@ + + + + + + Expressions - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Expressions

    +

    Depending on the context, powdr allows more or less features for expressions.

    +

    Inside values for declarations, you can use a very flexible language which includes +many different operators, function calls, lambda functions, tuple types, statement blocks, +match statements and others.

    +

    In statements and expressions that are required to evaluate to constraints / polynomial identities, only a much more restrictive +language can be used. Expressions in that language are called Algebraic Expressions. While you can use +the full language everywhere, in the context of a constraint, the result after function evaluation +and constant propagation has to be an algebraic expression.

    +

    Generic Expressions

    +

    The expression language allows the following operators, in order of increased precedence:

    +
      +
    • lambda functions: |params| body. Examples: |i| i (the identity), |a, b| a + b (sum)
      • +
    • || - logical or
      • +
    • && - logical and
      • +
    • <, <=, ==, !=, >=, > - comparisons and = - identity operator
      • +
    • | - bitwise or
      • +
    • ^ - bitwise xor
      • +
    • & - bitwise and
      • +
    • <<, >> - left and right shift
      • +
    • +, - - addition and subtraction (binary operator)
      • +
    • *, /, % - multiplication, division and modulo
      • +
    • ** - exponentiation
      • +
    • -, ! - numerical and logical negation (unary operators, prefix)
      • +
    • ' - "next row" operator (suffix)
      • +
    • [], () - array index access and function calls
      • +
    +

    Elementary expressions are

    +
      +
    • number literals (integers)
      • +
    • string literals, written in double quotes, e.g. "hello"
      • +
    • array literals written in square brackets, e.g. [1, 2, 3]
      • +
    • tuples, having at least two elements, e.g. (1, "abc")
      • +
    • statement blocks (see below)
      • +
    • match expressions (see below).
      • +
    • if expressions (see below).
      • +
    +

    Parentheses are allowed at any point to force precedence.

    +

    Lambda Functions

    +

    The only way to declare a function in pil is by assigning a lambda function to a symbol.

    +

    Example:

    +
    let x = |i| i + 1;
    +

    If you want to specify the types of parameters or return values explicitly, you have to do it +on the symbol, you cannot do it on the parameters:

    +
    let x: int -> int = |i| i + 1;
    +

    It is possible to use patterns in the function parameters:

    +
    let y: (int, int), int -> int = |(i, j), _| i + j;
    +

    If you use patterns, they have to be irrefutable, which means that the pattern has to +be able to match any value of the given type.

    +

    Statement Blocks

    +

    A {-}-delimited block can be used everywhere where an expression is expected.

    +

    It has the form { <statement> ; <statement> ; ... ; <expression> }, +i.e. a sequence of statements followed by an expression. +The statements can either be expressions (f();, only inside constr-functions) +or let statements: let x = ...; / let x;

    +

    The value of the statement block is the value of the final expression.

    +

    Example:

    +
    let plus_one_squared = |x| { let y = x + 1; y * y };
    +

    Let statements with value can be used everywhere, they just bind an expression to a local variable +and allow to avoid repeating the expression. You can use patterns for the +left hand side of let statements to destructure values.

    +

    Example:

    +
    let f = |i| (i / 2, i % 2);
+let (quot, rem) = f(7);
    +

    The second let statement will create two local variables x and y. You can also ignore values using +the _ pattern element. For details, please see the patterns section.

    +

    Let statements without value (let x;) create a new witness column and are only allowed inside constr-functions.

    +

    Similarly, an expression at statement level (e.g. x * (x - 1) = 0;) can be used to create new constraints that are added to the global constraint set +and this can only be done inside a constr-functions.

    +

    Note that you can always create constraints and return them from a function, even in pure function.

    +

    Example:

    +
    let constrain_to_bool: expr -> Constr = |x| x * (x - 1) = 0;
    +

    Match Expressions

    +

    Match expressions take the form match <value> { <pattern 1> => <value 1>, <pattern 2> => <value 2>, _ => <default value> }, +with an arbitrary number of match arms.

    +

    The semantics are that the first match arm where the pattern equals the value after the match keyword is evaluated.

    +

    Patterns can be used to destructure more complex data types and to capture values inside new local variables. +For more details, please see the patterns section.

    +

    Example:

    +
    let fib = |i| match i {
+    0 => 1,
+    1 => 1,
+    _ => fib(i - 2) + fib(i - 1),
+};
    +

    If Expressions

    +

    If expressions take the form if <condition> { <true value> } else { <false value> }, where the "else" part is not optional.

    +

    If the condition evaluates to true, then <true value> is evaluated, otherwise <false value> is.

    +

    Example:

    +
    let is_seven = |i| if i == 7 { 1 } else { 0 };
    +

    Algebraic Expressions

    +

    For constraints (or functions called at a place where a constraint is expected), the expression syntax is limited: +After evaluating function calls and performing constant propagation, the resulting expression has to +be an "algebraic expression". These are restricted in the following way:

    +
      +
    • You can freely use the operators +, -,*.
      • +
    • The operator ** must have a number as exponent.
      • +
    • The operator [i] must have a column name on the left-hand side and the index must be a number.
      • +
    • The operator ' must have a column or [i] on the left-hand-side.
      • +
    • No other operators are allowed.
      • +
    +

    Arbitrary parentheses are allowed.

    +

    The following example illustrates how you can still use the generic language:

    +
    namespace Main(16);
+    // Returns folder(...folder(folder(0, f(0)), f(1)) ..., f(length - 1))
+    // This is a generic function.
+    let<T1, T2> fold: int, (int -> T1), T2, (T2, T1 -> T2) -> T2 =
+        |length, f, initial, folder| match length {
+            0 => initial,
+            _ => folder(fold(length - 1, f, initial, folder), f(length - 1))
+        };
+    // returns f(0) + f(1) + ... + f(length - 1)
+    let sum = |length, f| fold(length, f, 0, |acc, e| acc + e);
+    // This function takes an algebraic expression (a column or expression
+    // involving columns) and returns an identity that forces this expression
+    // to equal 20. Note that `=` is not an assignment but creates an identity constraint.
+    let equals_twenty: expr -> Constr = |x| x = 20;
+    // This declares an array of 16 witness columns.
+    col witness wit[16];
+    // This expression has to evaluate to an identity, but we can still use
+    // higher order functions and all the flexibility of the language.
+    // The sub-expression `sum(16, |i| wit[i])` evaluates to the algebraic
+    // expression "wit[0] + wit[1] + ... + wit[15]", which is then
+    // turned into the identity by `equals_twenty`
+    // wit[0] + wit[1] + ... + wit[15] = 20.
+    equals_twenty(sum(16, |i| wit[i]));
+
+    // We constrained the sum to equal twenty, but there is no unique solution
+    // to that constraint. In order to fully constrain the system, we need to
+    // add something more: The first fifteen columns should all be one.
+
+    // returns [f(0), f(1), ..., f(length - 1)]
+    let make_array = |length, f| fold(length, f, [], |acc, e| acc + [e]);
+    // If an expression evaluates to an array of constraints, all the
+    // constraints in the array are added to the system.
+    make_array(15, |i| wit[i] = 1);
    +

    Constr and Query Functions

    +

    Every function in PIL is either a pure, a constr or a query function. They are denoted by

    +
      +
    • |...| ...
      • +
    • constr |...| ...
      • +
    • query |...| ...
      • +
    +

    Inside constr functions, it is possible to create new witness columns +and add constraints to the set of constraints (see the Statement Blocks section for details).

    +

    Inside query functions, it is possible to evaluate the value of a column on the "current" row +using the std::prover::eval function.

    +

    Both actions require a certain context to be available, which is not the case for example when +the values of a fixed column are computed.

    +

    A query function can only be used in the query or hint part of a witness column while constr functions +can only be evaluated in the constraint part of a namespace or machine.

    +

    You can define and call new constr functions inside a constr function and you can call and define +new query functions inside query functions, but as soon as you enter a pure function, this is not possible any more.

    +

    Examples:

    +
    // This function creates and returns a new witness column.
+let new_wit = constr || { let x; x };
+// Queries the current value of a column and returns its square.
+let square_of = query |x| { let v = std::prover::eval(x); v * v };
+// Creates a new witness column, constrains it to be boolean and returns it.
+let new_bool = constr |x| { let x = new_wit(); x * (x - 1) = 0; x };
+// This is a pure function that only returns a constraint, but does not add it
+// to the global set of constraints.
+let bool_constraint: expr -> Constr = |x| x * (x - 1) = 0;
    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/pil/fixed_columns.html b/pil/fixed_columns.html new file mode 100644 index 0000000000..d78e63ec48 --- /dev/null +++ b/pil/fixed_columns.html @@ -0,0 +1,233 @@ + + + + + + Fixed Columns - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Fixed columns

    +

    powdr-pil requires the definition of fixed columns at the time of declaration.

    +

    For example:

    +
    col fixed ONES = [1]*; // this is valid
+// col fixed ONES; // this is invalid
    +

    A number of mechanisms are supported to declare fixed columns. Let N be the total length of the column we're defining.

    +

    Values with repetitions

    +

    powdr-pil supports a basic language to define the value of constant columns using:

    +
      +
    • arrays, for example [1, 2, 3]
      • +
    • repetition, for example [1, 2]*
      • +
    • concatenation, for example [1, 2] + [3, 4]
      • +
    +

    These mechanisms can be combined, as long as a single repetition is used per column definition.

    +
    // valid, as for a given total length, only one column fits this definition for a given `N`
+col fixed A = [1, 2] + [3, 4]* + [5];
+
+// invalid, as many columns fit this definition
+// col fixed A = [1, 2]* + [3, 4]*
    +

    Mappings

    +

    A column can be seen as a mapping from integers to field elements. In this context, different functions are supported:

    +
    col fixed B(i) { i + 1 };
+
+col fixed C(i) {match i {
+    0 => 1,
+    _ => 0
+}};
    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/pil/index.html b/pil/index.html new file mode 100644 index 0000000000..bf9da34895 --- /dev/null +++ b/pil/index.html @@ -0,0 +1,208 @@ + + + + + + pil - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    PIL

    +

    powdr-pil is the lower level of abstraction in powdr. It is strongly inspired by Polygon zkEVM PIL. We refer to the Polygon zkEVM PIL documentation and document deviations from the original design here.

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/pil/patterns.html b/pil/patterns.html new file mode 100644 index 0000000000..e9b3a165cf --- /dev/null +++ b/pil/patterns.html @@ -0,0 +1,271 @@ + + + + + + Patterns - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Patterns

    +

    Patterns are a way to destructure or match certain values. They are valid in match arms, +function parameters or left hand sides of let statements in blocks.

    +

    A pattern is built up in from the following components:

    +
      +
    • _ - the "catch all" pattern that matches anything
      • +
    • x - for an identifier x, matches anything and assigns the value to the new local variable of that name
      • +
    • k - for a literal number k, matches the exact number, either as an int or a fe
      • +
    • -k - for a literal number k, matches the exact negated number, either as an int or a fe
      • +
    • "text" - for a string literal, matches the exact string literal as a string
      • +
    • (a, b, c) - for a tuple, matches a tuple-typed value if all the components match
      • +
    • [a, b, c] - for an array, matches array values of exactly the same length if all the components match
      • +
    • [a, .., b, c] - matches an array that has an initial segment of a and ends in b, c. The omitted part can be empty.
      • +
    • X::Y(a, b) - for an enum variant X::Y, matches that enum variant if all the enum fields match.
      • +
    +

    Patterns can be nested, which means that the components of tuple and array patterns +are themselves patterns.

    +

    Some examples:

    +
    // This pattern de-structures the first function parameter.
+let f: (int, int), int -> int = |(a, b), c| (a + c, b);
+// Matches a tuple, ignores the second component.
+let (x, _) = f((6, 7), 3);
+// The match statement typically uses patterns to check for certain values
+// but it can also destructure and create new local variables valid inside
+// the match arm.
+let t = match (x, f((1, x), 2)) {
+    (0, _) => 0,
+    (1, _) => 7,
+    (_, y) => y,
+    _ => 9
+};
+let head: int[] -> int = |x| match x {
+    // Matches the first element of a non-empty array and binds it to a local variable.
+    [a, ..] => a,
+    [] => std::check::panic("Called 'head' on empty array."),
+};
    +
    +

    Note that PIL does not check that patterns in a match expression are exhaustive.

    +
    +

    (Ir-)refutability

    +

    A pattern is refutable if there is a value of the correct type that the pattern does not match. +An example is the pattern 7 since it does not match all integers, or the patten [x, ..], because it +does not match the empty array.

    +

    Refutable patterns are fine in match arms, because if the pattern does not match, the evaluator will +just continue trying the next match arm, but they are disallowed in let statements and in function +parameters, because there we do not have the option of "trying the next arm".

    +

    Example:

    +
    let f: int -> int[] = |i| match i {
+    // This is a refutable pattern, but it is fine
+    // because we will try the next match arm.
+    0 => [],
+    _ => f(i - 1) + [i],
+};
+// This pattern does not match all `int[]`, because it requires a length
+// of at least one.
+let [x, ..] = f(8);
    +

    The following patterns are refutable:

    +
      +
    • all integer literal patterns
      • +
    • all string literal patterns
      • +
    • enum variant patterns
      • +
    • tuple patterns that have refutable components
      • +
    • array patterns that are not [..].
      • +
    +

    Variable patterns and _ are always irrefutable.

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/pil/types.html b/pil/types.html new file mode 100644 index 0000000000..eb830c2d60 --- /dev/null +++ b/pil/types.html @@ -0,0 +1,444 @@ + + + + + + Types - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Types

    +

    The powdr-pil language has the following types:

    +
      +
    • bool
      • +
    • int (integer)
      • +
    • fe (field element)
      • +
    • string
      • +
    • tuple
      • +
    • array
      • +
    • function type
      • +
    • expr (expression)
      • +
    • ! ("bottom" or "unreachable" type)
      • +
    • enum types
      • +
    +
    +

    In addition, there are the col and inter types, but they are special in that +they are only used for declaring columns, but cannot appear as the type of an expression. +See Declaring and Referencing Columns for details.

    +
    +

    Powdr-pil performs Hindley-Milner type inference. This means that, similar to Rust, the type of +a symbol does not always have to be specified. The compiler will try to find a type for every +symbol depending both on the value assigned to the symbol and on the context the symbol is used in. +It is an error if the type is not uniquely determined.

    +

    Symbols can have a generic type, but in those cases, you have to explicitly specify the generic type. +Such declarations can require type variables to satisfy certain trait bounds. +Currently, only built-in traits are supported (see the next section).

    +

    Literal numbers do not have a specific type, they can be either int, fe or expr (the types that +implement the FromLiteral trait), and their type can also stay generic until evaluation.

    +

    Example

    +

    The following snippet defines a function that takes a value of a generic type and returns the value incremented by one. +The type bounds on the generic type are FromLiteral and Add. The type checker will complain if we do not specify +the type bounds. The bound Add is required because we use the + operator in the function and FromLiteral is needed +because we use the literal 1 as a value of that type.

    +
    let<T: FromLiteral + Add> add_one: T -> T = |i| i + 1;
    +

    Declaring and Referencing Columns

    +

    A symbol declared to have type col or inter (or col[k] / inter[k]) is a bit special:

    +

    These symbols represent columns in the arithmetization and the types of values that can be assigned to +such symbols and the references to the symbols are different from their declared type.

    +

    If you assign a value to a col symbol, that value is expected to have type int -> fe or int -> int (or an array thereof). +This allows the simple declaration of a fixed column let byte: col = |i| i & 0xff; without complicated conversions. +The integer value is converted to a field element during evaluation, but it has to be non-negative and less than +the field modulus.

    +

    Symbols of declared type col are fixed (those with value) or witness columns (those without value).

    +

    A symbol of declared type inter is an intermediate column. You can assign it a value of type expr. +The idea of an intermediate column is that it is an algebraic expression of other columns that you do +not want to compute multiple times.

    +
    +

    Note that if you use let x: expr = a * b;, the symbol x is just a name in the PIL environment, +this will not create an intermediate column. The difference between inter and expr in this case +is that if you use let x: inter = ..., the expression might not be inlined into constraints (depending on the backend), +while if you use let x: expr = ..., it will always be inlined.

    +
    +

    If you reference a symbol of declared type inter or col, the type of the reference is expr (or expr[]). +A byte constraint is as easy as [ X ] in [ byte ], since the expected types in plookup columns is expr. +The downside is that you cannot evaluate columns as functions. If you want to do that, you either have to assign +a copy to an int -> int symbol: let byte_f: int -> int = |i| i & 0xff; let byte: col = byte_f;. +Or you can use the built-in function std::prover::eval if you want to do that inside a prover query or hint.

    +

    All other symbols use their declared type both for their value and for references to these symbols.

    +

    Built-in Traits

    +

    FromLiteral: +Implemented by int, fe, expr. The type of a number literal needs to implement FromLiteral.

    +

    Add: Implemented by int, fe, expr, T[], string. Used by <T: Add> +: T, T -> T (binary plus).

    +

    Sub: +Implemented by int, fe, expr. Used by <T: Sub> -: T, T -> T (binary minus).

    +

    Neg: +Implemented by int, fe, expr. Used by <T: Neg> -: T -> T (unary minus).

    +

    Mul: +Implemented by int, fe, expr. Used by <T: Mul> *: T, T -> T (binary multiplication).

    +

    Pow: +Implemented by int, fe, expr, Used by <T: Pow> **: T, int -> T (exponentiation).

    +

    Ord: +Implemented by int. Used by <T: Ord> op: T, T, -> bool for op being one of <, >, <=, >=.

    +

    Eq: +Implemented by int, fe, expr. Used by <T: Eq> op: T, T -> bool for op being one of ==, !=.

    +

    List of Types

    +

    Bool

    +

    Type name: bool

    +

    Booleans are the results of comparisons. They allow the following operators:

    +
      +
    • &&: logical conjunction
      • +
    • ||: logical disjunction
      • +
    • !: logical negation
      • +
    +

    Short-circuiting is not performed when evaluating boolean operators. +This means that (1 == 1) || std::check::panic("reason") will cause a panic abort.

    +

    Integer

    +

    Type name: int

    +

    Integers in powdr-pil have unlimited size. +Array index requires an integer and row indices (for example the input to a fixed +column defined through a function) are also integers.

    +

    Integer implements FromLiteral, which means that literal numbers can be used in contexts where int is expected.

    +

    Integers allow the following operators, whose result is always an integer:

    +
      +
    • +: addition
      • +
    • -: subtraction (also unary negation)
      • +
    • *: multiplication
      • +
    • /: integer division rounding towards zero, division by zero results in a runtime error
      • +
    • **: exponentiation, the exponent needs to be non-negative and fit 32 bits, otherwise a runtime error is triggered
      • +
    • %: remainder after division, (for signed arguments, p % q == sgn(p) * abs(p) % abs(q)), remainder by zero results in a runtime error
      • +
    • &: bit-wise conjunction
      • +
    • |: bit-wise disjunction
      • +
    • ^: bit-wise exclusive or
      • +
    • <<: bit-wise shift left, the shift amount needs to be non-negative and fit 32 bits, otherwise a runtime error is triggered
      • +
    • >>: bit-wise shift right, the shift amount needs to be non-negative and fit 32 bits, otherwise a runtime error is triggered
      • +
    +

    The exponentiation operator on field elements requires a non-negative integer as exponent. +It has the signature **: fe, int -> fe.

    +

    In addition, the following comparison operators are allowed, the result is a boolean:

    +
      +
    • <: less than
      • +
    • <=: less or equal
      • +
    • ==: equal
      • +
    • !=: not equal
      • +
    • >=: greater or equal
      • +
    • >: greater than
      • +
    +

    Field Element

    +

    Type name: fe

    +

    Field elements are elements of a particular but unspecified prime field. The exact field is +chosen when powdr is run. The modulus of that field can be accessed via std::field::modulus().

    +

    Field elements are the values stored in (fixed and witness) columns. +Arithmetic inside constraints (algebraic expressions) is also always finite field arithmetic.

    +

    The type fe implements FromLiteral, which means that literal numbers can be used in contexts where fe is expected. +If the literal number is not less than the field modulus, a runtime error is caused.

    +

    Field elements allow the following operators, where the result is always a field element:

    +
      +
    • +: finite field addition
      • +
    • -: finite field subtraction (also unary negation)
      • +
    • *: finite field multiplication
      • +
    +

    There is also an exponentiation operator ** on field elements. It requires the exponent +to be a non-negative integer and thus has the signature **: fe, int -> fe. If the exponent is negative, a runtime error is triggered. 0**0 is defined as 1.

    +

    The following comparison operators exist for field elements, whose result is a boolean:

    +
      +
    • ==: equality comparison
      • +
    • !=: inequality comparison
      • +
    +

    Since finite fields do not have an inherent order as integers do, if you want to +compare them using <, you have to first convert them to integers.

    +

    String

    +

    Type name: string

    +

    String literals are written as "string content". They are mainly used for debugging or +documentation purposes, since they cannot occur in constraints.

    +

    They allow the following operators:

    +
      +
    • +: string concatenation
      • +
    +

    Tuple

    +

    Type name: (..., ..., ...)

    +

    Tuples are complex types that are composed from other types, either zero or two or more. There is no tuple type with a single element ((int) is the same as int). +The empty tuple type is written as ().

    +

    Examples include (int, int) (a pair of integers) and ((fe[], int), ()) +(a tuple consisting of a tuple that contains an array of field elements and an integer +and an empty tuple).

    +

    Tuples values are constructed using parentheses: (1, 2) constructs the tuple that consists of +a one and a two.

    +

    Tuples do not allow any operators.

    +

    Array

    +

    Type name: _[]

    +

    Arrays are statically or dynamically-sized collections of elements each of the same type +denoted for example as int[] (a dynamically-sized array of integers) or int[2] (an array of integers with static size two). +Array values can be constructed inline using [1, 2] (the array containing the +two elements one and two).

    +

    The built-in function std::array::len can be used to retrieve the length of an array (statically or dynamically sized) +and the elements of an array a can be accessed using a[0], a[1], etc.

    +

    The type checker currently only knows dynamically-sized arrays, which means that it does not compare the sizes of statically-sized array types.

    +

    Arrays allow the following operators:

    +
      +
    • +: array concatenation
      • +
    • _[]: array index access, the index needs to be a non-negative integer that is less than the length of the array, otherwise a runtime error is triggered
      • +
    +

    Function

    +

    Type name: T1, T2, ..., Tn -> T0

    +

    Function type names are for example denoted as int, fe -> int or -> int. +Note that (int, fe) -> int is a function that takes a single tuple as parameter +while int, fe -> int takes two parameters of type integer and field element.

    +

    Functions can be constructed using the lambda expression notation. +For example |x, y| x + y returns a function that performs addition. +The lambda expression || 7 is a function that returns a constant (has no parameters). +Lambda functions can capture anything in their environment and thus form closures.

    +

    Functions allow the following operators:

    +
      +
    • _(...): function evaluation
      • +
    +

    Powdr-pil is usually side-effect free, but there are some built-in functions that have +side-effects: +These are std::debug::print and std::check::panic and all functions that call them. +Expressions are eagerly evaluated from left to right.

    +

    Expression

    +

    Type name: expr

    +

    Expressions are the elements of the algebraic expressions used in constraints.

    +

    References to columns have type expr and expr also implements FromLiteral, +which means that literal numbers can be used in contexts where expr is expected.

    +

    Example:

    +
    let x: col;
+let y: col;
+let f: -> expr = || x + y;
+let g = || 7;
+f() = g();
    +

    The first two lines define the witness columns x and y. +The next two lines define the utility functions f and g. +The function f adds the two columns x and y symbolically - it essentially returns the expression x + y. +The last line is at statement level and it is expected that it evaluates to a constraint, in this case, a polynomial identity. +Because of that, g is inferred to have type -> expr, which is compatible with the literal 7.

    +

    Since expressions are built from abstract column references, applying operators +does not perform any operations but instead constructs an abstract expression structure / syntax tree.

    +

    Expressions allow the following operators, which always construct new expressions:

    +
      +
    • +: additive combination of expressions
      • +
    • -: subtractive combination of expressions (also unary negation)
      • +
    • *: multiplicative combination of expressions
      • +
    • **: exponential combination of an expression with an integer constant
      • +
    • ': reference to the next row of a column, can only be applied directly to columns and only once
      • +
    +

    The operator = on expressions constructs a constraint (see [../builtins#Constr]).

    +

    Bottom Type

    +

    Type name: !

    +

    The bottom type essentially is the return type of a function that never returns, which currently only happens +if you call the panic function. The bottom type is compatible with any other type, which means +that you can call the panic function in any context.

    +

    Enum Types

    +

    Enums are user-defined types that can hold different named alternatives plus data. An enum type has a (namespaced) name +that uniquely identifies it and is also used to reference the type.

    +

    Enums are declared in the following way:

    +
    enum EnumName {
+    Variant1,
+    Variant2(),
+    Variant3(int),
+    Variant4(int, int[], EnumName),
+}
    +

    The variants must have unique names inside the enum and they can optionally take additional data. +Each variant declares a type constructor function that can be used to create a value of the enum:

    +
    let a = EnumName::Variant1;
+let b = EnumName::Variant2();
+let c = EnumName::Variant3(3);
+let d = EnumName::Variant4(1, [2, 3], EnumName::Variant1);
    +

    Recursive enums are allowed.

    +

    Enums do not allow any operators.

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/powdr_crate.html b/powdr_crate.html new file mode 100644 index 0000000000..38e65298bf --- /dev/null +++ b/powdr_crate.html @@ -0,0 +1,296 @@ + + + + + + as a library - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Hello World using powdr as a library

    +

    Besides the CLI, powdr can also be used as a Rust library. +The powdr crate +exposes internal crates and data structures needed to compile code, +generate witnesses, and compute proofs.

    +

    Add powdr to your crate's dependencies:

    +
    [dependencies]
+powdr = { git = "https://github.com/powdr-labs/powdr", branch = "main" }
+
    +

    The following Rust code has the same workflow as our previous "Hello World" +example. The full project can be found +here, and as an example in +the powdr crate. To run the example in the powdr +repository, run:

    +
    cargo run --example powdr_crate_usage
+
    +

    You can also enable logs to know what is happening internally:

    +
    RUST_LOG=info cargo run --example powdr_crate_usage
+
    +
    use powdr_test::halo2_pipeline;
+
+fn main() {
+    env_logger::init();
+
+    halo2_pipeline(
+        "test_data/asm/book/hello_world.asm",
+        vec![0.into()],
+        vec![],
+        8,
+    );
+}
    +
    use powdr::backend::BackendType;
+use powdr::number::buffered_write_file;
+use powdr::Bn254Field;
+use powdr::Pipeline;
+
+use std::path::Path;
+
+pub fn halo2_pipeline(
+    pil: &str,
+    prover_inputs: Vec<Bn254Field>,
+    publics: Vec<Bn254Field>,
+    setup_size: u64,
+) {
+    // Straightforward case
+    let _proof = Pipeline::<Bn254Field>::default()
+        .from_file(pil.into())
+        .with_prover_inputs(prover_inputs.clone())
+        .with_backend(BackendType::Halo2, None)
+        .compute_proof()
+        .unwrap();
+
+    // Step-by-step case
+
+    // First we create the universal setup of size 8
+    buffered_write_file(Path::new("params.bin"), |writer| {
+        BackendType::Halo2
+            .factory::<Bn254Field>()
+            .generate_setup(setup_size, writer)
+            .unwrap()
+    })
+    .unwrap();
+
+    // Configure a pipeline
+    let mut pipeline = Pipeline::<Bn254Field>::default()
+        .from_file(pil.into())
+        .with_prover_inputs(prover_inputs)
+        .with_backend(BackendType::Halo2, None)
+        .with_setup_file(Some("params.bin".into()));
+
+    // Create the verification key
+    buffered_write_file(Path::new("vkey.bin"), |w| {
+        pipeline.export_verification_key(w).unwrap()
+    })
+    .unwrap();
+
+    // Add the verification key to a fresh pipeline and create a proof
+    let mut pipeline_fresh = pipeline.clone().with_vkey_file(Some("vkey.bin".into()));
+
+    let proof = pipeline_fresh.compute_proof().unwrap();
+
+    // Create yet another fresh pipeline only for proof verification
+    let mut pipeline = pipeline
+        .with_backend(BackendType::Halo2, None)
+        .with_setup_file(Some("params.bin".into()))
+        .with_vkey_file(Some("vkey.bin".into()));
+
+    // Verify a proof created by a different Pipeline
+    pipeline.verify(proof, &[publics]).unwrap();
+}
    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
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    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Introduction

    +

    powdr is a modular compiler stack to build zkVMs. +It is ideal for implementing existing VMs and experimenting with new designs with minimal boilerplate.

    +
      +
    • Domain specific languages are used to specify the VM and its underlying constraints, not low level Rust code
      • +
    • Automated witness generation
      • +
    • Support for multiple provers as well as aggregation schemes
      • +
    • Support for hand-optimized co-processors when performance is critical
      • +
    • Built in Rust 🦀
      • +
    +

    Contributing

    +

    powdr is free and open source. You can find the source code on +GitHub. Issues and feature requests can be posted on +the GitHub issue tracker.

    +

    License

    + +

    The powdr source and documentation are released under the MIT License.

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/powdr_vm_intro.html b/powdr_vm_intro.html new file mode 100644 index 0000000000..b1b97a16b0 --- /dev/null +++ b/powdr_vm_intro.html @@ -0,0 +1,211 @@ + + + + + + Introduction - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Introduction

    +

    powdrVM is a versatile zkVM built on the powdr stack, supporting std Rust, +multiple proof systems, and zk-continuations for unbounded execution. +Designed for flexibility, powdrVM enables efficient proof generation for complex applications with minimal setup.

    +

    Contributing

    +

    powdrVM is free and open source. +You can find the source code on GitHub. +Issues and feature requests can be posted on the GitHub issue tracker.

    +

    License

    + +

    The powdr source and documentation are released under the MIT License.

    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
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    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Introduction

    +

    powdrVM is a versatile zkVM built on the powdr stack, supporting std Rust, +multiple proof systems, and zk-continuations for unbounded execution. +Designed for flexibility, powdrVM enables efficient proof generation for complex applications with minimal setup.

    +

    Contributing

    +

    powdrVM is free and open source. +You can find the source code on GitHub. +Issues and feature requests can be posted on the GitHub issue tracker.

    +

    License

    + +

    The powdr source and documentation are released under the MIT License.

    +

    Installation

    +

    The easiest way to start making ZK proofs with powdrVM is to install cargo-powdr:

    +
    cargo install cargo-powdr
+
    +

    cargo-powdr is used to create and manage powdrVM projects, similar to cargo itself.

    +

    Prerequisites

    +

    You will need the Rust compiler and Cargo, the Rust package manager. +The easiest way to install both is with rustup.rs.

    +

    Quick Start

    +

    First, create a new powdrVM project with

    +
    cargo-powdr new my-host
+
    +
      +
    • Your new crate my-host is the host of the virtual machine's execution, +and is responsible for preparing data and running the prover.
      • +
    • The guest crate in your new project contains the Rust code whose execution will be proven.
      • +
    +

    Most of these details are abstracted by the powdr library.

    +

    Now that your project is set up, just run

    +
    cargo run -r
+
    +

    The host manages a powdr::Session which can be used to share data +with the guest, test the execution, and generate ZK proofs.

    +
    use powdr::Session;
+
+fn main() {
+    env_logger::init();
+
+    let some_data = vec![1, 2, 3, 4, 5];
+
+    // Create a new powdr session to make proofs for the `guest` crate.
+    // Store all temporary and final artifacts in `powdr-target`.
+    let mut session = Session::builder()
+        .guest_path("./guest")
+        .out_path("powdr-target")
+        // powdrVM splits long execution traces into chunks
+        // which are proven individually.
+        // The default size of a chunk is 2^20 = 1048576 rows.
+        // For experiments and smaller traces/proofs, it may be beneficial to reduce the chunk size.
+        // Create a new powdr session with a custom chunk size.
+        // 2^18 = 262144 rows per chunk.
+        .chunk_size_log2(18)
+        .build()
+        // Write `some_data` to channel 1 and the sum of `some_data` to channel 2.
+        // Any serde-serializable type can be written to a channel.
+        .write(1, &some_data)
+        .write(2, &some_data.iter().sum::<u32>());
+
+    // Fast dry run to test execution.
+    session.run();
+
+    // Uncomment to compute the proof.
+    //session.prove();
+}
    +

    The guest contains the custom logic that should be proved.

    +
    use powdr_riscv_runtime;
+use powdr_riscv_runtime::io::read;
+
+fn main() {
+    // Any serde-deserializable type can be read from a channel.
+    // Read some data from channel 1.
+    let data: Vec<u32> = read(1);
+    // Read the claimed sum from channel 2.
+    let sum: u32 = read(2);
+
+    // Check that the claimed sum is correct.
+    assert_eq!(data.iter().sum::<u32>(), sum);
+}
    +

    Introduction

    +

    powdr is a modular compiler stack to build zkVMs. +It is ideal for implementing existing VMs and experimenting with new designs with minimal boilerplate.

    +
      +
    • Domain specific languages are used to specify the VM and its underlying constraints, not low level Rust code
      • +
    • Automated witness generation
      • +
    • Support for multiple provers as well as aggregation schemes
      • +
    • Support for hand-optimized co-processors when performance is critical
      • +
    • Built in Rust 🦀
      • +
    +

    Contributing

    +

    powdr is free and open source. You can find the source code on +GitHub. Issues and feature requests can be posted on +the GitHub issue tracker.

    +

    License

    + +

    The powdr source and documentation are released under the MIT License.

    +

    Installation

    +

    The only way to install powdr currently is to build it from source. +There are two binaries,

    +
      +
    • powdr compiles powdr-asm files to powdr-PIL and generates +witnesses and proofs.
      • +
    • powdr-rs compiles Rust crates to powdr-asm via RISCV, and executes +powdr-asm code with given inputs.
      • +
    +

    Prerequisites

    +

    You will need the Rust compiler and Cargo, the Rust package manager. +The easiest way to install both is with rustup.rs.

    +

    On Windows, you will also need a recent version of Visual Studio, +installed with the "Desktop Development With C++" Workloads option.

    +

    If you want to enable the estark-polygon feature, you also need the following +runtime dependencies:

    +
      +
    • gcc
      • +
    • nlohmann-json3-dev
      • +
    +

    You will also need the following build time dependencies:

    +
      +
    • make
      • +
    • pkg-config
      • +
    • libpqxx-dev (Ubuntu) | libpqxx (Arch Linux)
      • +
    • nasm
      • +
    +

    Building powdr

    +

    Using a single Cargo command, enabling the Halo2 and Plonky3 backends:

    +
    cargo install --git https://github.com/powdr-labs/powdr --features halo2,plonky3 powdr-cli
+
    +

    With SIMD support for the provers that support it:

    +
    RUSTFLAGS='-C target-cpu=native' cargo install --git https://github.com/powdr-labs/powdr --features halo2,plonky3,plonky3-simd powdr-cli
+
    +

    Or, by manually building from a local copy of the powdr repository:

    +
    # clone the repository
+git clone https://github.com/powdr-labs/powdr.git
+cd powdr
+# install powdr-cli
+cargo install --features halo2,plonky3 --path ./cli
+# install powdr-cli with SIMD support (only for the crates that support it)
+RUSTFLAGS='-C target-cpu=native' cargo install --features halo2,plonky3,plonky3-simd --path ./cli
+
    +

    Building powdr-rs

    +

    Using a single Cargo command:

    +
    cargo install --git https://github.com/powdr-labs/powdr powdr-rs-cli
+
    +

    Or, by manually building from a local copy of the powdr repository:

    +
    # clone the repository
+git clone https://github.com/powdr-labs/powdr.git
+cd powdr
+# install powdr-rs-cli
+cargo install --path ./cli-rs
+
    +

    Hello World

    +

    Let's write a minimal VM and generate proofs!

    +
    machine HelloWorld with degree: 8 {
+    reg pc[@pc];
+    reg X[<=];
+    reg Y[<=];
+    reg A;
+
+    instr incr X -> Y {
+        Y = X + 1
+    }
+
+    instr decr X -> Y {
+        Y = X - 1
+    }
+
+    instr assert_zero X {
+        X = 0
+    }
+
+    function main {
+        // assign the first prover input to A
+        A <=X= ${ std::prelude::Query::Input(0, 1) };
+
+        // increment A
+        A <== incr(A);
+
+        // decrement A
+        A <== decr(A);
+
+        // assert that A is zero
+        assert_zero A;
+
+        return;
+    }
+}
+
    +

    Let's go through different possible usages of powdr, starting with using the powdr CLI.

    +

    Hello World using the CLI

    +

    Let's generate a proof of execution for the valid prover input 0 (since 0 + 1 - 1 == 0)

    +
    powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 1 --prove-with halo2
+
    +

    We observe that several artifacts are created in the current directory:

    +
      +
    • hello_world.pil: the compiled PIL file.
      • +
    • hello_world_opt.pil: the optimized PIL file.
      • +
    • hello_world_constants.bin: the computed fixed columns which only have to be computed once per PIL file.
      • +
    • hello_world_commits.bin: the computed witness which needs to be computed for each proof.
      • +
    • hello_world_proof.bin: the ZK proof!
      • +
    +
    +

    Note that the output directory can be specified with option -o|--output, and . is used by default.

    +
    +

    Now let's try for the invalid input 1:

    +
    powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 2 --prove-with halo2
+
    +

    In this case witness generation fails, and no proof is created.

    +

    Setup & Verification

    +

    The example above omits some important steps in proof generation: Setup and +Verification key generation. Some proof systems such as Halo2 , require a Setup to be performed before the proof. Such Setup can be +specific to the program or universal, where its artifact is a binary usually +called parameters or params. STARKs do not require a Setup.

    +

    Another step required before the proof is computed is key generation. A +proving key and a verification key are generated taking into account the +constraints and potentially Setup parameters. The proving key is used by the +prover to generate the proof, and the verification key is used by the verifier +to verify such a proof. A single verification key can be used to verify any +number of different proofs for a given program.

    +

    Therefore, when computing a proof, it is important that the Setup parameters +and the verification key are available as artifacts.

    +

    Below we reproduce the same proof as in the example above, keeping the +artifacts needed for verification:

    +

    First we run the Setup, where the number given must match the degree of our +source file (degree 8). The command below generates file params.bin.

    +
    powdr setup 8 --backend halo2 --field bn254
+
    +

    We can now compute the verification key, output in vkey.bin:

    +
    powdr verification-key test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --params "params.bin"
+
    +
    +

    The command above can read previously generated constants from the directory +specified via -d|--dir, where . is used by default. If the constants are not present +it computes them before generating the verification key.

    +
    +

    The next command compiles and optimizes the given source, generating the file +hello_world_opt.pil. It also computes both the fixed data and the witness +needed for the proof, stored respectively in hello_world_constants.bin and +hello_world_commits.bin.

    +
    powdr pil test_data/asm/book/hello_world.asm --field bn254 --force --inputs 0
+
    +

    We can now generate the proof:

    +
    powdr prove test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --params "params.bin" --vkey "vkey.bin"
+
    +

    The proof can be verified by anyone via:

    +
    powdr verify test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --vkey "vkey.bin" --params "params.bin" --proof "hello_world_proof.bin"
+
    +
    +

    Note that CLI proof verification works analogously for eSTARK, without the setup step and using the Goldilocks field instead of Bn254.

    +
    +

    Another aspect that was omitted in this example is the fact that this proof +uses a Poseidon transcript and cannot be verified in a cheap way on Ethereum, +even though we can verify it efficiently via powdr. +There are two ways to enable verification on Ethereum:

    +
      +
    1. Use a different transcript when generating this proof. See section +Hello World on Ethereum for the same example targeting EVM verification.
      2. +
    2. Use proof aggregation to compress the proof using a +circuit that can be verified on Ethereum. See section +Hello World on Ethereum via proof aggregation to learn how to do that.
      3. +
    +

    Hello World using powdr as a library

    +

    Besides the CLI, powdr can also be used as a Rust library. +The powdr crate +exposes internal crates and data structures needed to compile code, +generate witnesses, and compute proofs.

    +

    Add powdr to your crate's dependencies:

    +
    [dependencies]
+powdr = { git = "https://github.com/powdr-labs/powdr", branch = "main" }
+
    +

    The following Rust code has the same workflow as our previous "Hello World" +example. The full project can be found +here, and as an example in +the powdr crate. To run the example in the powdr +repository, run:

    +
    cargo run --example powdr_crate_usage
+
    +

    You can also enable logs to know what is happening internally:

    +
    RUST_LOG=info cargo run --example powdr_crate_usage
+
    +
    use powdr_test::halo2_pipeline;
+
+fn main() {
+    env_logger::init();
+
+    halo2_pipeline(
+        "test_data/asm/book/hello_world.asm",
+        vec![0.into()],
+        vec![],
+        8,
+    );
+}
    +
    use powdr::backend::BackendType;
+use powdr::number::buffered_write_file;
+use powdr::Bn254Field;
+use powdr::Pipeline;
+
+use std::path::Path;
+
+pub fn halo2_pipeline(
+    pil: &str,
+    prover_inputs: Vec<Bn254Field>,
+    publics: Vec<Bn254Field>,
+    setup_size: u64,
+) {
+    // Straightforward case
+    let _proof = Pipeline::<Bn254Field>::default()
+        .from_file(pil.into())
+        .with_prover_inputs(prover_inputs.clone())
+        .with_backend(BackendType::Halo2, None)
+        .compute_proof()
+        .unwrap();
+
+    // Step-by-step case
+
+    // First we create the universal setup of size 8
+    buffered_write_file(Path::new("params.bin"), |writer| {
+        BackendType::Halo2
+            .factory::<Bn254Field>()
+            .generate_setup(setup_size, writer)
+            .unwrap()
+    })
+    .unwrap();
+
+    // Configure a pipeline
+    let mut pipeline = Pipeline::<Bn254Field>::default()
+        .from_file(pil.into())
+        .with_prover_inputs(prover_inputs)
+        .with_backend(BackendType::Halo2, None)
+        .with_setup_file(Some("params.bin".into()));
+
+    // Create the verification key
+    buffered_write_file(Path::new("vkey.bin"), |w| {
+        pipeline.export_verification_key(w).unwrap()
+    })
+    .unwrap();
+
+    // Add the verification key to a fresh pipeline and create a proof
+    let mut pipeline_fresh = pipeline.clone().with_vkey_file(Some("vkey.bin".into()));
+
+    let proof = pipeline_fresh.compute_proof().unwrap();
+
+    // Create yet another fresh pipeline only for proof verification
+    let mut pipeline = pipeline
+        .with_backend(BackendType::Halo2, None)
+        .with_setup_file(Some("params.bin".into()))
+        .with_vkey_file(Some("vkey.bin".into()));
+
+    // Verify a proof created by a different Pipeline
+    pipeline.verify(proof, &[publics]).unwrap();
+}
    +

    Hello World on Ethereum

    +

    This example is a variation of the previous Hello World, +targeting verification on Ethereum. In this example we will cover how to +generate proofs directly using a Keccak transcript instead of the Poseidon +transcript of the previous example, which will enable us to verify proofs +onchain. There are almost no differences from the CLI perspective.

    +

    Since the following command creates a proof, a Solidity verifier, and verifies +the proof on the EVM, we need to have solc available in the system. One easy +way to install it is by using svm.

    +
    powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 0 --prove-with halo2 --backend-options "snark_single" -f --params params.bin
+
    +

    The extra parameter --backend-options snark_single tells powdr to produce a single +SNARK that uses Keccak. The option -f forces overwriting the compiled files +that have been generated before, which is useful if you are running the examples +in the same directory.

    +

    When the proof is generated, it is verified on a simulated EVM transaction as well!

    +
    Verifying SNARK in the EVM...
+
    +

    We can observe again that a proof was created at hello_world_proof.bin.

    +

    Now we can generate a Solidity verifier, using the same setup (params) as the +previous example:

    +
    powdr export-verifier test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "snark_single" --params params.bin
+
    +

    A Solidity file verifier.sol is generated. You can verify the same proof that +we just generated by passing it to the contract together with the public inputs +(which we have not used so far).

    +
    +

    Note that the more complex your VM is, the larger the verifier contract will be. In some cases, it might exceed Ethereum's contract size limit. You can mitigate that by using proof recursion on proofs that use Poseidon transcripts. See the next section for details.

    +
    +

    Hello World on Ethereum with proof aggregation

    +

    As noted in the previous section, complex VMs can lead to large +Solidity verifiers that exceed the contract size limit on Ethereum. One +solution to that problem is to create proofs using the Poseidon transcript, as +we did in the first example, and then use proof +recursion to create a proof that we know we will be able to verify on Ethereum.

    +

    A recursive SNARK works by generating a proof for a circuit that verifies +another proof. The circuit we are using here to prove our initial proof +recursively is PSE's snark-verifier. This circuit is large enough +to be able to prove complex programs that were proven initial with the Poseidon +transcript, like our first example. Because of that our aggregation setup +params and verification key are going to be larger than before and take +longer to compute. The good news are that (i) we can use a pre-computed setup +from a previous ceremony, and (ii) the verification key only has to be computed +once per program.

    +

    First, we need a setup of "size" 2^22. This is the maximum execution trace length of the recursion circuit.

    +

    You can generate it using the command line below, or download a pre-computed +one here.

    +

    This will take a couple minutes if you decide to compute it yourself:

    +
    powdr setup 4194304 --backend halo2 --field bn254
+
    +

    We can re-use the new large params.bin for both initial and recursive proofs. +Let's start by re-computing our Poseidon proof like in the first example, +but using our new setup file:

    +
    powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 0 --prove-with halo2 --backend-options "poseidon" -f --params params.bin
+
    +

    This generates the initial proof hello_world_proof.bin. +We'll also need a verification key:

    +
    powdr verification-key test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "poseidon" --params params.bin
+
    +

    Let's verify the proof with our fresh verification key to make sure we're on the right track:

    +
    powdr verify test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "poseidon" --params params.bin --vkey vkey.bin --proof hello_world_proof.bin
+
    +

    In order to avoid confusion between the application's artifacts +that we've just generated and the recursion one we're going to generate +later, let's rename them:

    +
    mv vkey.bin vkey_app.bin
+mv hello_world_proof.bin hello_world_proof_app.bin
+
    +

    We can now generate a verification key for the Halo2 circuit that verifies our proofs recursively. This might take up to a minute.

    +
    powdr verification-key test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "snark_aggr" --params params.bin --vkey-app vkey_app.bin
+
    +
    +

    Note that this verification key can only be used to verify recursive proofs that verify other proofs using the application's key vkey_app.bin.

    +
    +

    We can now generate the recursive proof (this typically takes a few minutes and uses around 28gb RAM):

    +
    powdr prove test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "snark_aggr" --params params.bin --vkey vkey.bin --vkey-app vkey_app.bin --proof hello_world_proof_app.bin
+
    +

    We have a proof! Note that it contains two fields, proof and +publics. The proof object contains the binary encoding of the proof +points, and the publics object contains the public accumulator limbs that we +need in order to verify the recursive proof.

    +

    We can now verify the proof, using the publics object as input (your numbers will be different):

    +
    powdr verify test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "snark_aggr" --params params.bin --vkey vkey.bin --proof hello_world_proof_aggr.bin --publics "269487626280642378794,9378970522278219882,62304027188881225691,811176493438944,234778270138968319485,3212529982775999134,171155758373806079356,207910400337448,188563849779606300850,155626297629081952942,194348356185923309508,433061951018270,34598221006207900280,283775241405787955338,79508596887913496910,354189825580534"
+
    +

    Since the goal of the recursive proof was to be able to verify it on Ethereum, let's do that!

    +
    powdr export-verifier test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options "snark_aggr" --params params.bin --vkey vkey.bin
+
    +

    A Solidity verifier is created in verifier.sol. The contract expects an array of the accumulators' limbs followed by a tightly packed proof, where each accumulator limb uses 32 bytes, and there is no function signature.

    +

    Note that this verifier can be used to verify any recursive proof that verifies exactly one Poseidon proof of the given circuit.

    +

    Examples

    +

    Besides the Hello World examples, you are encouraged to check out these more +complex and real-world use cases:

    + +

    Using publics

    +

    Public values are a small but important part of verifying ZK proofs. Often, the +verifier is interested in inputs and/or outputs to a public function.

    +

    In the toy example below, the prover can show that they know the square root of +a public value that is published with the proof.

    +

    You can also run this example directly in the powdr +repository:

    +
    cargo run --example sqrt_with_public
+
    +

    You can also enable logs to know what is happening internally:

    +
    RUST_LOG=info cargo run --example sqrt_with_public
+
    +
    machine Square with degree: 8 {
+    reg pc[@pc];
+    reg X[<=];
+    reg Y[<=];
+    reg A;
+
+    // Expose the register value of A in the last time step
+    public N = A(7);
+
+    instr square X -> Y {
+        Y = X * X
+    }
+	
+    function main {
+        A <=X= ${ std::prelude::Query::Input(0, 1) };
+        A <== square(A);
+    }
+}
    +

    This example uses a small VM with jump and a square instructions. The +program reads the private input from the prover, squares it, and enters an +infinite loop to ensure that all the remaining rows are filled with the result of A^2. +Since the length of our execution trace is fixed and equals 8, we can tag the +8-th row of A (A[7]) as the publicly exposed number.

    +

    Let's run all steps needed to generate and verify a proof that 32 = 9:

    +
      +
    1. Setup step:
      2. +
    +
    powdr setup 8 --backend halo2 --field bn254
+
    +
      +
    1. Witness generation:
      2. +
    +
    powdr pil test_data/asm/sqrt_with_public.asm --field bn254 -i 3
+
    +
      +
    1. Verification Key generation:
      2. +
    +
    powdr verification-key test_data/asm/sqrt_with_public.asm --field bn254 --backend halo2 --params params.bin
+
    +
      +
    1. Proof generation:
      2. +
    +
    powdr prove test_data/asm/sqrt_with_public.asm --field bn254 --backend halo2 --params params.bin --vkey vkey.bin
+
    +
      +
    1. Proof verification:
      2. +
    +
    powdr verify test_data/asm/sqrt_with_public.asm --field bn254 --backend halo2 --params params.bin --vkey vkey.bin --proof sqrt_with_public_proof.bin --publics 9
+
    +

    Command-Line Help for powdr

    +

    This document contains the help content for the powdr command-line program.

    +

    Command Overview:

    + +

    powdr

    +

    powdr CLI to compile powdr-asm and powdr-pil programs

    +

    Usage: powdr [OPTIONS] [COMMAND]

    +
    Subcommands:
    +
      +
    • pil — Runs compilation and witness generation for .pil and .asm files. First converts .asm files to .pil, if needed. Then converts the .pil file to json and generates fixed and witness column data files
      • +
    • prove —
      • +
    • verify —
      • +
    • verification-key —
      • +
    • export-verifier —
      • +
    • setup —
      • +
    • reformat — Parses and prints the PIL file on stdout
      • +
    • optimize-pil — Optimizes the PIL file and outputs it on stdout
      • +
    • test — Executes all functions starting with test_ in every module called test (or sub-module thereof) starting from the given module
      • +
    +
    Options:
    +
      +
    • +

      --log-level <LOG_LEVEL> — Set log filter value [ off, error, warn, info, debug, trace ]

      +

      Default value: INFO

      +
      • +
    +

    powdr pil

    +

    Runs compilation and witness generation for .pil and .asm files. First converts .asm files to .pil, if needed. Then converts the .pil file to json and generates fixed and witness column data files

    +

    Usage: powdr pil [OPTIONS] <FILE>

    +
    Arguments:
    +
      +
    • <FILE> — Input file
      • +
    +
    Options:
    +
      +
    • +

      --field <FIELD> — The field to use

      +

      Default value: gl

      +

      Possible values: bb, kb, m31, gl, bn254

      +
      • +
    • +

      -o, --output-directory <OUTPUT_DIRECTORY> — Output directory for the PIL file, json file and fixed and witness column data

      +

      Default value: .

      +
      • +
    • +

      -w, --witness-values <WITNESS_VALUES> — Path to a CSV file containing externally computed witness values

      +
      • +
    • +

      -i, --inputs <INPUTS> — Comma-separated list of free inputs (numbers)

      +

      Default value: ``

      +
      • +
    • +

      -f, --force — Force overwriting of PIL output file

      +

      Default value: false

      +
      • +
    • +

      --pilo — Whether to output the pilo PIL object

      +

      Default value: false

      +
      • +
    • +

      -p, --prove-with <PROVE_WITH> — Generate a proof with a given backend

      +

      Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite

      +
      • +
    • +

      --params <PARAMS> — File containing previously generated setup parameters

      +
      • +
    • +

      --backend-options <BACKEND_OPTIONS> — Backend options. Halo2: "poseidon", "snark_single" or "snark_aggr". EStark and PilStarkCLI: "stark_gl", "stark_bn" or "snark_bn"

      +
      • +
    • +

      --linker-mode <LINKER_MODE> — Linker mode, deciding how to reduce links to constraints

      +

      Possible values: native, bus

      +
      • +
    • +

      --degree-mode <DEGREE_MODE> — Degree mode, deciding whether to use a single monolithic table or a set of dynamically sized tables

      +
      • +
    • +

      --export-witness-csv — Generate a CSV file containing the witness column values

      +

      Default value: false

      +
      • +
    • +

      --export-all-columns-csv — Generate a CSV file containing all fixed and witness column values. Useful for debugging purposes

      +

      Default value: false

      +
      • +
    • +

      --csv-mode <CSV_MODE> — How to render field elements in the csv file

      +

      Default value: hex

      +

      Possible values: i, ui, hex

      +
      • +
    +

    powdr prove

    +

    Usage: powdr prove [OPTIONS] --backend <BACKEND> <FILE>

    +
    Arguments:
    +
      +
    • <FILE> — Input PIL file
      • +
    +
    Options:
    +
      +
    • +

      -d, --dir <DIR> — Directory to find the committed and fixed values

      +

      Default value: .

      +
      • +
    • +

      --field <FIELD> — The field to use

      +

      Default value: gl

      +

      Possible values: bb, kb, m31, gl, bn254

      +
      • +
    • +

      -b, --backend <BACKEND> — Generate a proof with a given backend

      +

      Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite

      +
      • +
    • +

      --backend-options <BACKEND_OPTIONS> — Backend options. Halo2: "poseidon", "snark_single" or "snark_aggr". EStark and PilStarkCLI: "stark_gl", "stark_bn" or "snark_bn"

      +
      • +
    • +

      --proof <PROOF> — File containing previously generated proof for aggregation

      +
      • +
    • +

      --vkey <VKEY> — File containing previously generated verification key

      +
      • +
    • +

      --vkey-app <VKEY_APP> — File containing the verification key of a proof to be verified recursively

      +
      • +
    • +

      --params <PARAMS> — File containing previously generated setup parameters

      +
      • +
    +

    powdr verify

    +

    Usage: powdr verify [OPTIONS] --backend <BACKEND> --proof <PROOF> --vkey <VKEY> <FILE>

    +
    Arguments:
    +
      +
    • <FILE> — Input PIL file
      • +
    +
    Options:
    +
      +
    • +

      -d, --dir <DIR> — Directory to find the fixed values

      +

      Default value: .

      +
      • +
    • +

      --field <FIELD> — The field to use

      +

      Default value: gl

      +

      Possible values: bb, kb, m31, gl, bn254

      +
      • +
    • +

      -b, --backend <BACKEND> — Generate a proof with a given backend

      +

      Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite

      +
      • +
    • +

      --backend-options <BACKEND_OPTIONS> — Backend options. Halo2: "poseidon", "snark_single" or "snark_aggr". EStark and PilStarkCLI: "stark_gl", "stark_bn" or "snark_bn"

      +
      • +
    • +

      --proof <PROOF> — File containing the proof

      +
      • +
    • +

      --publics <PUBLICS> — Comma-separated list of public inputs (numbers)

      +

      Default value: ``

      +
      • +
    • +

      --vkey <VKEY> — File containing the verification key

      +
      • +
    • +

      --params <PARAMS> — File containing the params

      +
      • +
    +

    powdr verification-key

    +

    Usage: powdr verification-key [OPTIONS] --backend <BACKEND> <FILE>

    +
    Arguments:
    +
      +
    • <FILE> — Input PIL file
      • +
    +
    Options:
    +
      +
    • +

      -d, --dir <DIR> — Directory to find the fixed values

      +

      Default value: .

      +
      • +
    • +

      --field <FIELD> — The field to use

      +

      Default value: gl

      +

      Possible values: bb, kb, m31, gl, bn254

      +
      • +
    • +

      -b, --backend <BACKEND> — Chosen backend

      +

      Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite

      +
      • +
    • +

      --backend-options <BACKEND_OPTIONS> — Backend options. Halo2: "poseidon", "snark_single" or "snark_aggr". EStark and PilStarkCLI: "stark_gl", "stark_bn" or "snark_bn"

      +
      • +
    • +

      --params <PARAMS> — File containing previously generated setup parameters. This will be needed for SNARK verification keys but not for STARK

      +
      • +
    • +

      --vkey-app <VKEY_APP> — File containing the verification key of a proof to be verified recursively

      +
      • +
    +

    powdr export-verifier

    +

    Usage: powdr export-verifier [OPTIONS] --backend <BACKEND> <FILE>

    +
    Arguments:
    +
      +
    • <FILE> — Input PIL file
      • +
    +
    Options:
    +
      +
    • +

      -d, --dir <DIR> — Directory to find the fixed values

      +

      Default value: .

      +
      • +
    • +

      --field <FIELD> — The field to use

      +

      Default value: gl

      +

      Possible values: bb, kb, m31, gl, bn254

      +
      • +
    • +

      -b, --backend <BACKEND> — Chosen backend

      +

      Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite

      +
      • +
    • +

      --backend-options <BACKEND_OPTIONS> — Backend options. Halo2: "poseidon", "snark_single" or "snark_aggr". EStark and PilStarkCLI: "stark_gl", "stark_bn" or "snark_bn"

      +
      • +
    • +

      --params <PARAMS> — File containing previously generated setup parameters. This will be needed for SNARK verification keys but not for STARK

      +
      • +
    • +

      --vkey <VKEY> — File containing previously generated verification key

      +
      • +
    +

    powdr setup

    +

    Usage: powdr setup [OPTIONS] --backend <BACKEND> <SIZE>

    +
    Arguments:
    +
      +
    • <SIZE> — Size of the parameters
      • +
    +
    Options:
    +
      +
    • +

      -d, --dir <DIR> — Directory to output the generated parameters

      +

      Default value: .

      +
      • +
    • +

      --field <FIELD> — The field to use

      +

      Default value: gl

      +

      Possible values: bb, kb, m31, gl, bn254

      +
      • +
    • +

      -b, --backend <BACKEND> — Generate a proof with a given backend

      +

      Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite

      +
      • +
    +

    powdr reformat

    +

    Parses and prints the PIL file on stdout

    +

    Usage: powdr reformat <FILE>

    +
    Arguments:
    +
      +
    • <FILE> — Input file
      • +
    +

    powdr optimize-pil

    +

    Optimizes the PIL file and outputs it on stdout

    +

    Usage: powdr optimize-pil [OPTIONS] <FILE>

    +
    Arguments:
    +
      +
    • <FILE> — Input file
      • +
    +
    Options:
    +
      +
    • +

      --field <FIELD> — The field to use

      +

      Default value: gl

      +

      Possible values: bb, kb, m31, gl, bn254

      +
      • +
    +

    powdr test

    +

    Executes all functions starting with test_ in every module called test (or sub-module thereof) starting from the given module

    +

    Usage: powdr test [OPTIONS] <FILE>

    +
    Arguments:
    +
      +
    • <FILE> — Input file
      • +
    +
    Options:
    +
      +
    • +

      --field <FIELD> — The field to use

      +

      Default value: gl

      +

      Possible values: bb, kb, m31, gl, bn254

      +
      • +
    +
    +

    +This document was generated automatically by +clap-markdown. +

    +

    asm

    +

    powdr-asm is the higher level of abstraction in powdr. It allows defining Instruction Set Architectures (ISA) using virtual and constrained machines.

    +

    Modules

    +

    powdr exposes a module system to help organise and reuse code.

    +
    use my_module::Other as LocalOther;
+
+// we can define a module at `./submodule.asm`
+mod submodule;
+
+// we can define a module at `./submodule_in_folder/mod.asm`
+mod submodule_in_folder;
+
+use submodule::Other as SubmoduleOther;
+use submodule_in_folder::Other as FolderSubmoduleOther;
+
+let zero: int = 0;
+
+// we can also define modules inline
+mod utils {
+    // Each module has a fresh symbol list. Every external symbol needs to be imported,
+    // even from the parent module.
+    use super::zero;
+
+    let one = zero + 1;
+}
+
+machine Main with degree: 8 {
+    // use a machine from another module by relative path
+    my_module::Other a;
+
+    // use a machine from another module using a local binding
+    LocalOther b;
+
+    // use a machine from another module defined in a different file
+    SubmoduleOther c;
+
+    // use a machine from another module defined in a different directory
+    FolderSubmoduleOther d;
+
+    reg pc[@pc];
+
+    instr nothing link => a.nothing();
+    instr also_nothing link => b.nothing();
+    instr still_nothing link => c.nothing();
+    instr nothing_again link => d.nothing();
+
+    function main {
+        nothing;
+        also_nothing;
+        still_nothing;
+        nothing_again;
+        return;
+    }
+}
+
+mod my_module {
+    machine Other with
+        degree: 8,
+        latch: latch,
+        operation_id: operation_id
+    {
+        operation nothing<0>;
+
+        col fixed latch = [1]*;
+        col fixed operation_id = [0]*;
+    }
+}
    +

    Note that a module can't be called std, as this name is reserved for the powdr standard library.

    +

    Similar to Rust, any reference that cannot be resolved is looked up once more in std::prelude. +This module exposes basic types and values such as Option, true and false. +This means that you can use Option anywhere without prefix.

    +

    Declarations

    +

    Symbols can be defined via let <name> = <value>;, or via let <name>: <type> = <value>; if you want to +specify the type explicitly. The value is an arbitrary PIL-expression. +For details, see the Declarations section in the PIL part.

    +

    Other symbols available in the current module can be accessed by name, but it is also possible to specify +full relative paths in the form of e.g. super::super::module_name::symbol.

    +

    Here are some examples of how to define and use symbols:

    +
    mod utils {
+    // This defines a function by means of a lambda expression that
+    // computes the sum of an array of values. We fully specify its type.
+    let sum: int, int[] -> int = |len, arr| match len {
+        0 => 0,
+        _ => arr[len - 1] + sum(len - 1, arr)
+    };
+    // A simple function that returns the input incremented by one,
+    // as an expression.
+    let incremented: expr -> expr = |x| x + 1;
+    // This is a function that takes an expression as input and returns
+    // a constraint enforcing this expression increments by a certain value
+    // between rows.
+    // The type will be inferred here because `'` is only valid on `expr`.
+    let constrain_incremented_by = |x, inc| x' = x + inc;
+}
+
+machine Main with degree: 4 {
+    // Machines create local scopes in the way functions create local scopes:
+    // - all symbols in the machine's module are available without prefix,
+    // - new symbols can be defined but are only available inside the machine.
+    reg A;
+    reg pc[@pc];
+
+    // This defines a witness column,
+    let x;
+    // and now we force it to stay unchanged.
+    utils::constrain_incremented_by(x, 0);
+
+    // We define an instruction that uses a complicated way to increment a register.
+    instr incr_a { A' = utils::incremented(A) }
+
+    function main {
+        incr_a;
+        return;
+    }
+}
    +

    Machines

    +

    Machines are the first main concept in powdr-asm. They can currently be of two types: virtual or constrained.

    +

    Virtual machines

    +

    Dynamic machines are defined by:

    + +

    An example of a simple dynamic machine is the following:

    +
    machine HelloWorld with degree: 8 {
+    reg pc[@pc];
+    reg X[<=];
+    reg Y[<=];
+    reg A;
+
+    instr incr X -> Y {
+        Y = X + 1
+    }
+
+    instr decr X -> Y {
+        Y = X - 1
+    }
+
+    instr assert_zero X {
+        X = 0
+    }
+
+    function main {
+        // assign the first prover input to A
+        A <=X= ${ std::prelude::Query::Input(0, 1) };
+
+        // increment A
+        A <== incr(A);
+
+        // decrement A
+        A <== decr(A);
+
+        // assert that A is zero
+        assert_zero A;
+
+        return;
+    }
+}
    +

    Constrained machines

    +

    Constrained machines are a lower-level type of machine. They do not have registers, and instead rely on simple committed and fixed columns. They are used to implement hand-optimized computation.

    +

    They are defined by:

    +
      +
    • a degree range, indicating the number of execution steps
      • +
    • a set of operations
      • +
    • an operation_identifier column, used to make constraints conditional over which function is called. It can be omitted with _ if the machine has at most one operation.
      • +
    • a latch column, used to identify rows at which the machine can be accessed from the outside (where the inputs and outputs are passed). It can be omitted if the machine has no operations.
      • +
    • a set of submachines
      • +
    • a set of links
      • +
    +

    An example of a simple constrained machine is the following:

    +
    machine SimpleStatic with
+    degree: 8,
+    latch: latch,
+    operation_id: operation_id
+{
+    operation power_4<0> x -> y;
+
+    col fixed operation_id = [0]*;
+    col fixed latch = [0, 0, 0, 1]*;
+    col witness x;
+    col witness y;
+
+    // initialise y to x at the beginning of each block
+    latch * (y' - x') = 0;
+    // x is unconstrained at the beginning of the block
+
+    // x is constant within a block
+    (1 - latch) * (x' - x) = 0;
+    // y is multiplied by x at each row
+    (1 - latch) * (y' - x * y) = 0;
+}
    +

    For more details on the powdr-pil statements, check out the pil section of this book. Note that the parameters of the operation are columns defined in powdr-pil statements.

    +

    Submachines

    +

    Machines can have submachines which they access by defining external instructions or links. They are declared as follows:

    +
    machine MySubmachine {
+    ...
+}
+
+machine MyMachine {
+    MySubmachine my_submachine;
+}
    +

    Machines can also receive submachines as construction parameters. +A machine passed in as an argument can be accessed in the same way as locally declared submachines:

    +
    machine MachineWithParam(subm: MySubmachine) {
+    // `subm` can be accessed as a submachine
+    ...
+}
+
+machine MyMachine {
+    MySubmachine my_submachine;
+    // `my_submachine` is passed to `another_submachine` as a construction argument
+    MachineWithParam another_submachine(my_submachine);
+}
    +

    Registers

    +

    Registers are central to a machine. powdr supports a few types of registers:

    +

    Program counter

    +

    Each machine can have at most one program counter. In the absence of a program counter, the machine is considered static, and no other register can be declared. The program counter is defined as follows:

    +
    reg pc[@pc]
    +

    At each step execution step, the program counter points to the function line to execute. +The program counter behaves like a write register, with the exception that its value is incremented by default after each step.

    +

    Write registers

    +

    Write registers are the default type for registers. They are declared as follows:

    +
    reg A;
    +

    They hold a field element, are initialized as 0 at the beginning of a function and keep their value by default. They can be read from and written to.

    +
    // write to A
+A <=X= 1;
+// A is 1
+
+// read from A
+B <=X= A;
+// A is still 1
    +

    Assignment registers

    +

    Assignment registers are transient to an execution step: their value is not persisted across steps. They are required in order to pass inputs and receive outputs from instructions, as well as in assignments. +For example, if we want to assert that write register A is 0, we can use the following instruction:

    +
    reg pc[@pc];
+reg A;
+
+instr assert_A_is_zero {
+    A = 0
+}
+
+function main {
+    assert_A_is_zero;
+    return;
+}
    +

    However, if we want the instruction to accept any write register as input, we use an assignment register.

    +
    reg pc[@pc];
+reg X[<=];
+reg A;    
+
+instr assert_zero X {
+    X = 0
+}
+
+function main {
+    assert_zero A;
+    return;
+}
    +

    Read-only registers

    +

    Read-only registers are used for function inputs. However, powdr creates them automatically based on functions arguments, so that they do not need to be declared explicitly.

    +
    +

    Read-only registers are only mentioned for completeness here and are currently only used inside the compiler. We advise against using them.

    +
    +

    Functions

    +

    Functions are the entry points to a virtual machine. They can be called from another machine or from the outside.

    +

    In this section, we describe functions with this simple virtual machine:

    +
    
+machine Machine with degree: 16 {
+    reg pc[@pc];
+    reg X[<=];
+    reg Y[<=];
+    reg Z[<=];
+    reg CNT;
+    reg A;
+    reg B;
+
+    // an instruction to assert that a number is zero
+    instr assert_zero X {
+        X = 0
+    }
+
+    // an instruction to jump to a label
+    instr jmp l: label {
+        pc' = l 
+    }
+
+    // an instruction to jump to a label iff `X` is `0`, otherwise continue
+    instr jmpz X, l: label { 
+        pc' = XIsZero * l + (1 - XIsZero) * (pc + 1) 
+    }
+    
+    // an instruction to return the square of an input as well as its double
+    instr square_and_double X -> Y, Z {
+        Y = X * X,
+        Z = 2 * X
+    }
+
+    function main {
+        // initialise `A` to 2
+        A <=X= 2;
+        // initialise `CNT` to `3`
+        CNT <=X= 3;
+        start:
+        // if `CNT` is `0`, jump to `end`
+        jmpz CNT, end;
+        // decrement `CNT`
+        CNT <=X= CNT - 1;
+        // get the square and the double of `A`
+        A, B <== square_and_double(A);
+        // jump back to `start`
+        jmp start;
+        end:
+        // check that `A == ((2**2)**2)**2`
+        assert_zero A - ((2**2)**2)**2;
+        // check that `B == ((2**2)**2)*2`
+        assert_zero B - ((2**2)**2)*2;
+        return;
+    }
+
+    // some superpowers on `X` to allow us to check if it's 0
+    col witness XInv;
+    col witness XIsZero;
+    XIsZero  = 1 - X * XInv;
+    XIsZero * X = 0;
+    XIsZero * (1 - XIsZero) = 0;
+}
+
    +

    Function inputs and outputs

    +
    +

    Function inputs and outputs are not supported yet

    +
    +

    Statements

    +

    Labels

    +

    Labels allow referring to a location in a function by name.

    +
            start:
    +

    Assignments

    +

    Assignments allow setting the values of some write registers to the values of some expressions expression using assignment registers.

    +
            CNT <=X= 3;
    +

    If the right-hand side of the assignment is an instruction, assignment registers can be inferred and are optional:

    +
            A, B <== square_and_double(A);
    +

    This will be inferred to be the same as A, B <=Y, Z= square_and_double(A); from the definition of the instruction:

    +
        instr square_and_double X -> Y, Z {
+        Y = X * X,
+        Z = 2 * X
+    }
    +

    Instructions

    +

    Instructions which do not return outputs can be used as statements.

    +
            assert_zero A - ((2**2)**2)**2;
    +

    Expressions

    +

    Field element literals

    +

    Field element literals are signed elements of the prime field.

    +
            CNT <=X= 3;
    +

    Registers and columns

    +

    Registers can be used as expressions, with the exception of assignment registers.

    +
            CNT <=X= CNT - 1;
    +

    Instructions

    +

    Instructions which return outputs can be used as expressions.

    +
            A, B <== square_and_double(A);
    +

    Instructions

    +

    Instructions are declared as part of a powdr virtual machine. +Once defined, they can be called by any function in this machine. +An instruction is composed of:

    +
      +
    • a name
      • +
    • a set of inputs (assignment registers or labels)
      • +
    • a set of outputs (assignment registers)
      • +
    • a set of powdr-pil constraints to activate when the instruction is called
      • +
    • a set of links calling into functions/operations in submachines
      • +
    +

    Local instructions

    +

    A local instruction is the simplest type of instruction. +It is called local because its behavior is defined by a set of constraints over registers and columns of the machine it is defined in.

    +
    instr add X, Y -> Z {
+    X + Y = Z
+}
    +

    Instructions with links

    +

    Instructions may also delegate all or part of their implementation to functions/operations in submachines. +Each link in an instruction defines the inputs and outputs of a call to a specific function/operation in a submachine.

    +

    Assume we have a submachine with a single operation add:

    +
    machine SubMachine with
+    degree: 32,
+    latch: latch,
+    operation_id: operation_id
+{
+    col witness operation_id;
+    col fixed latch = [1]*;
+
+    operation add<0> x, y -> z;
+
+    col witness x;
+    col witness y;
+    col witness z;
+    z = y + x;
+}
    +

    An instruction calling into this operation can be declared as follows:

    +
        SubMachine submachine;
+
+    instr add X, Y -> Z link => Z = submachine.add(X, Y); // - trivial usage: only instruction inputs/outputs used in the call
    +

    In the previous example, only assignment registers (instruction inputs and outputs) were used to call the submachine. +The following example shows more complex usage of link calls:

    +
    machine Main with degree: 32 {
+    reg pc[@pc];
+    reg X[<=];
+    reg Y[<=];
+    reg Z[<=];
+    reg A;
+    reg B;
+    reg C;
+
+    SubMachine submachine;
+
+    instr add X, Y -> Z link => Z = submachine.add(X, Y); // - trivial usage: only instruction inputs/outputs used in the call
+    instr add_to_A X, Y link => A' = submachine.add(X, Y);// - output to a regular register
+    instr addAB -> X link => X = submachine.add(A, B);    // - inputs from regular registers
+    instr addAB_to_C link => C' = submachine.add(A, B);   // - inputs and output from regular registers
+    instr addAB_to_A link => A' = submachine.add(A, B);   // - reusing an input register as output
+    instr sub X, Y -> Z link => X = submachine.add(Y, Z); // - swapping input/output
+    // expressions can also be used as call parameters
+    instr add5 X -> Z link => Z = submachine.add(X, 3+2); // - literal expression as argument
+    col fixed STEP(i) { i };
+    instr add_current_time_step X -> Z link => Z = submachine.add(X, STEP);// - machine columns can be referenced
+    let arr = [1,2,3,4,5];                          // - functions can be used
+    instr add_arr_sum X -> Z link => Z = submachine.add(X, std::array::sum(arr));
+
+    instr assert_eq X, Y { X = Y }
+
+    function main {
+        A <== add(2, 3);
+        assert_eq A, 5;
+        add_to_A 6, 7;
+        assert_eq A, 13;
+
+        A <== sub(6, 5);
+        assert_eq A, 1;
+        B <=X= 20;
+        C <== addAB();
+        assert_eq C, 21;
+
+        A <=X= 2;
+        B <=X= 3;
+        addAB_to_C;
+        assert_eq C, 5;
+
+        A <=X= 33;
+        B <=X= 44;
+        addAB_to_A;
+        assert_eq A, 77;
+
+        A <== add5(2);
+        assert_eq A, 7;
+        A <== add_arr_sum(3);
+        assert_eq A, 18;
+
+        // Note that the result of this operation depends on when it executed (STEP column)
+        A <== add_current_time_step(42);
+        B <== add_current_time_step(42);
+        assert_eq B - A, 1;
+
+        return;
+    }
+}
    +

    A single instruction can activate multiple links, and may also include a set of constraints. +Furthermore, each link can be activated conditionally, based on a given boolean flag:

    +
    machine Main with degree: 16 {
+    reg pc[@pc];
+    reg X[<=];
+    reg Y[<=];
+    reg Z[<=];
+    reg W[<=];
+    reg A;
+    col witness B;
+    col witness C;
+
+    SubMachine submachine;
+
+    // multiple links can be activated by a single instruction,
+    // witness columns can be used for temporary values,
+    // and additional constraints can be used
+    instr double_then_mul X, Y -> Z
+        link => B = submachine.add(X, X)
+        link => C = submachine.add(Y, Y)
+    {
+        Z = B * C
+    }
+
+    // links activated conditional on a boolean flag
+    instr add_or_sub W, X, Y -> Z
+        link if W => Z = submachine.add(X, Y)
+        link if (1 - W) => Z = submachine.sub(X, Y);
+
+    instr assert_eq X, Y { X = Y }
+
+    function main {
+        A <== double_then_mul(3, 2);
+        assert_eq A, 24;
+
+        A <== add_or_sub(1, 3, 2);
+        assert_eq A, 5;
+        A <== add_or_sub(0, 3, 2);
+        assert_eq A, 1;
+
+        return;
+    }
+}
    +
    +

    Note that links cannot currently call functions from the same machine: they delegate computation to a submachine.

    +
    +

    Operations

    +

    Operations enable a constrained machine to expose behavior to the outside. +If a machine has a single operation, it can simply be declared with its name and parameters:

    +
    machine Add with
+    degree: 32,
+    latch: latch
+{
+    // operation name, with column names as inputs and outputs
+    operation add a, b -> c;
+
+    col fixed latch = [1]*;
+
+    col witness a;
+    col witness b;
+    col witness c;
+
+    // constraint "implementing" the operation
+    c = a + b;
+}
    +

    The parameters of the operation (inputs and outputs) must be columns declared in the machine.

    +

    If a machine exposes more than one operation, the machine itself needs an operation id column (op_id in the following). +Then, each operation needs to be declared with its own unique operation id:

    +
    // machine declaration must include an operation id column name
+machine AddSub with
+    degree: 32,
+    latch: latch,
+    operation_id: op_id
+{
+    // each operation has its own unique operation id
+    operation add<0> a, b -> c;
+    operation sub<1> a, b -> c;
+
+    col fixed latch = [1]*;
+        // it also needs to be declared as a column
+    col witness op_id;
+
+    col witness a;
+    col witness b;
+    col witness c;
+
+    // constraint "implementing" both operations, depending on `op_id`
+    c = (1 - op_id) * (a + b) + op_id * (a - b);
+}
    +

    The actual behavior of an operation is defined by the machine constraints on the columns used as inputs and outputs.

    +

    Links

    +

    Links enable a constrained machine to call into another machine. +They are defined by a call to an operation, where inputs and outputs are expressions. +An optional boolean flag restricts the rows in which the link is active. +Links without a boolean flag are active in every row.

    +
    machine Add4 with
+    degree: 32,
+    latch: latch,
+    operation_id: operation_id
+{
+    Add adder;
+
+    operation add4<0> x, y, z, w -> r;
+
+    // Links without a flag are active on every row.
+    // - constrain the values of `x`, `y`, and `n` so that `n = adder.add(x, y)`
+    link => n = adder.add(x, y);
+    // - constrain the values of `z`, `w`, and `m` so that `m = adder.add(z, w)`
+    link => m = adder.add(z, w);
+    // - constrain the values of `m`, `n` and `r` so that `r = adder.add(m,n)`
+    link => r = adder.add(m, n);
+
+    col fixed operation_id = [0]*;
+    col fixed latch = [1]*;
+
+    col witness x;
+    col witness y;
+    col witness z;
+    col witness w;
+    col witness r;
+    col witness m;
+    col witness n;
+}
+
+machine Add with
+    degree: 32,
+    latch: latch
+{
+    // operation name, with column names as inputs and outputs
+    operation add a, b -> c;
+
+    col fixed latch = [1]*;
+
+    col witness a;
+    col witness b;
+    col witness c;
+
+    // constraint "implementing" the operation
+    c = a + b;
+}
+
    +

    If a boolean flag is given, the link is only active in rows where the flag evaluates to 1. +Whenever a link is active, the columns mapped as inputs and outputs are constrained by the operation implementation. +The following example demonstrates how to use links with flags.

    +
    col fixed odd_row = [0,1]*;
+
+link if odd_row => z = submachine.foo(x, y); // active on odd rows only
+link if (1 - odd_row) => z = submachine.bar(x, y); // active on even rows only
+
    +

    PIL

    +

    powdr-pil is the lower level of abstraction in powdr. It is strongly inspired by Polygon zkEVM PIL. We refer to the Polygon zkEVM PIL documentation and document deviations from the original design here.

    +

    Declarations

    +

    Powdr-pil allows the same syntax to declare various kinds of symbols. This includes +constants, fixed columns, witness columns and even higher-order functions. It deduces the symbol kind +from the type of the symbol and the way the symbol is used.

    +

    Symbols can be declared using let <name>; and they can be declared and defined +using let <name> = <value>;, where <value> is an expression. The type of the symbol +can be explicitly specified using let <name>: <type>; and let <name>: <type> = <value>;. +Symbols with a generic type can be defined using let<TV1, TV1, ..> <name>: <type> = <value>;, +where the TV are newly created type variables that can be used in the type.

    +

    This syntax can be used for constants, fixed columns, witness columns and even (higher-order) +functions that can transform expressions. The kind of symbol is deduced by its type and whether +it is has a value:

    +
      +
    • Symbols without a value are witness columns or arrays of witness columns. Their type can be omitted. If it is given, it must be col or col[k].
      • +
    • Symbols defined with a value and type col (or col[k]) are fixed columns (or arrays of fixed columns).
      • +
    • Symbols defined with a value and type inter (or inter[k]) are intermediate columns (or arrays of intermediate columns).
      • +
    • Everything else is a "generic symbol" that is not a column.
      • +
    +

    Examples:

    +
        // This defines a integer constant. We can omit the type when it is used
+    // somewhere that constrains its type. Since it is not used below,
+    // we have to specify `: int` (another option would be `fe`, field element).
+    let rows: int = 16;
+    // This defines a fixed column that contains the row number in each row.
+    // Only symbols whose type is "col" are considered fixed columns.
+    let step: col = |i| i;
+    // Here, we have a witness column, the do not need an explicit `: col`.
+    let x;
+    // This functions defines a fixed column where each cell contains the
+    // square of its row number.
+    let square: col = |x| x*x;
+    // This is a generic function that computes the sum of an array
+    // given its length.
+    // It is not stored as a column.
+    // If it is used in a constraint, it has to be evaulated, while
+    // columns must be used symbolically.
+    let<T: Add + FromLiteral> sum: T[], int -> T = |a, len| match len {
+        0 => 0,
+        _ => sum(a, len - 1) + a[len - 1],
+    };
+    // This is a constraint that uses the `sum` function:
+    sum([x, step], 2) = 0;
    +

    Name lookup is performed as follows:

    +

    Lookup is performed starting from the current namespace, going up to the root component by component +where the first match is used. If all lookups fail, a last attempt is done +inside the std::prelude namespace.

    +

    Expressions

    +

    Depending on the context, powdr allows more or less features for expressions.

    +

    Inside values for declarations, you can use a very flexible language which includes +many different operators, function calls, lambda functions, tuple types, statement blocks, +match statements and others.

    +

    In statements and expressions that are required to evaluate to constraints / polynomial identities, only a much more restrictive +language can be used. Expressions in that language are called Algebraic Expressions. While you can use +the full language everywhere, in the context of a constraint, the result after function evaluation +and constant propagation has to be an algebraic expression.

    +

    Generic Expressions

    +

    The expression language allows the following operators, in order of increased precedence:

    +
      +
    • lambda functions: |params| body. Examples: |i| i (the identity), |a, b| a + b (sum)
      • +
    • || - logical or
      • +
    • && - logical and
      • +
    • <, <=, ==, !=, >=, > - comparisons and = - identity operator
      • +
    • | - bitwise or
      • +
    • ^ - bitwise xor
      • +
    • & - bitwise and
      • +
    • <<, >> - left and right shift
      • +
    • +, - - addition and subtraction (binary operator)
      • +
    • *, /, % - multiplication, division and modulo
      • +
    • ** - exponentiation
      • +
    • -, ! - numerical and logical negation (unary operators, prefix)
      • +
    • ' - "next row" operator (suffix)
      • +
    • [], () - array index access and function calls
      • +
    +

    Elementary expressions are

    +
      +
    • number literals (integers)
      • +
    • string literals, written in double quotes, e.g. "hello"
      • +
    • array literals written in square brackets, e.g. [1, 2, 3]
      • +
    • tuples, having at least two elements, e.g. (1, "abc")
      • +
    • statement blocks (see below)
      • +
    • match expressions (see below).
      • +
    • if expressions (see below).
      • +
    +

    Parentheses are allowed at any point to force precedence.

    +

    Lambda Functions

    +

    The only way to declare a function in pil is by assigning a lambda function to a symbol.

    +

    Example:

    +
    let x = |i| i + 1;
    +

    If you want to specify the types of parameters or return values explicitly, you have to do it +on the symbol, you cannot do it on the parameters:

    +
    let x: int -> int = |i| i + 1;
    +

    It is possible to use patterns in the function parameters:

    +
    let y: (int, int), int -> int = |(i, j), _| i + j;
    +

    If you use patterns, they have to be irrefutable, which means that the pattern has to +be able to match any value of the given type.

    +

    Statement Blocks

    +

    A {-}-delimited block can be used everywhere where an expression is expected.

    +

    It has the form { <statement> ; <statement> ; ... ; <expression> }, +i.e. a sequence of statements followed by an expression. +The statements can either be expressions (f();, only inside constr-functions) +or let statements: let x = ...; / let x;

    +

    The value of the statement block is the value of the final expression.

    +

    Example:

    +
    let plus_one_squared = |x| { let y = x + 1; y * y };
    +

    Let statements with value can be used everywhere, they just bind an expression to a local variable +and allow to avoid repeating the expression. You can use patterns for the +left hand side of let statements to destructure values.

    +

    Example:

    +
    let f = |i| (i / 2, i % 2);
+let (quot, rem) = f(7);
    +

    The second let statement will create two local variables x and y. You can also ignore values using +the _ pattern element. For details, please see the patterns section.

    +

    Let statements without value (let x;) create a new witness column and are only allowed inside constr-functions.

    +

    Similarly, an expression at statement level (e.g. x * (x - 1) = 0;) can be used to create new constraints that are added to the global constraint set +and this can only be done inside a constr-functions.

    +

    Note that you can always create constraints and return them from a function, even in pure function.

    +

    Example:

    +
    let constrain_to_bool: expr -> Constr = |x| x * (x - 1) = 0;
    +

    Match Expressions

    +

    Match expressions take the form match <value> { <pattern 1> => <value 1>, <pattern 2> => <value 2>, _ => <default value> }, +with an arbitrary number of match arms.

    +

    The semantics are that the first match arm where the pattern equals the value after the match keyword is evaluated.

    +

    Patterns can be used to destructure more complex data types and to capture values inside new local variables. +For more details, please see the patterns section.

    +

    Example:

    +
    let fib = |i| match i {
+    0 => 1,
+    1 => 1,
+    _ => fib(i - 2) + fib(i - 1),
+};
    +

    If Expressions

    +

    If expressions take the form if <condition> { <true value> } else { <false value> }, where the "else" part is not optional.

    +

    If the condition evaluates to true, then <true value> is evaluated, otherwise <false value> is.

    +

    Example:

    +
    let is_seven = |i| if i == 7 { 1 } else { 0 };
    +

    Algebraic Expressions

    +

    For constraints (or functions called at a place where a constraint is expected), the expression syntax is limited: +After evaluating function calls and performing constant propagation, the resulting expression has to +be an "algebraic expression". These are restricted in the following way:

    +
      +
    • You can freely use the operators +, -,*.
      • +
    • The operator ** must have a number as exponent.
      • +
    • The operator [i] must have a column name on the left-hand side and the index must be a number.
      • +
    • The operator ' must have a column or [i] on the left-hand-side.
      • +
    • No other operators are allowed.
      • +
    +

    Arbitrary parentheses are allowed.

    +

    The following example illustrates how you can still use the generic language:

    +
    namespace Main(16);
+    // Returns folder(...folder(folder(0, f(0)), f(1)) ..., f(length - 1))
+    // This is a generic function.
+    let<T1, T2> fold: int, (int -> T1), T2, (T2, T1 -> T2) -> T2 =
+        |length, f, initial, folder| match length {
+            0 => initial,
+            _ => folder(fold(length - 1, f, initial, folder), f(length - 1))
+        };
+    // returns f(0) + f(1) + ... + f(length - 1)
+    let sum = |length, f| fold(length, f, 0, |acc, e| acc + e);
+    // This function takes an algebraic expression (a column or expression
+    // involving columns) and returns an identity that forces this expression
+    // to equal 20. Note that `=` is not an assignment but creates an identity constraint.
+    let equals_twenty: expr -> Constr = |x| x = 20;
+    // This declares an array of 16 witness columns.
+    col witness wit[16];
+    // This expression has to evaluate to an identity, but we can still use
+    // higher order functions and all the flexibility of the language.
+    // The sub-expression `sum(16, |i| wit[i])` evaluates to the algebraic
+    // expression "wit[0] + wit[1] + ... + wit[15]", which is then
+    // turned into the identity by `equals_twenty`
+    // wit[0] + wit[1] + ... + wit[15] = 20.
+    equals_twenty(sum(16, |i| wit[i]));
+
+    // We constrained the sum to equal twenty, but there is no unique solution
+    // to that constraint. In order to fully constrain the system, we need to
+    // add something more: The first fifteen columns should all be one.
+
+    // returns [f(0), f(1), ..., f(length - 1)]
+    let make_array = |length, f| fold(length, f, [], |acc, e| acc + [e]);
+    // If an expression evaluates to an array of constraints, all the
+    // constraints in the array are added to the system.
+    make_array(15, |i| wit[i] = 1);
    +

    Constr and Query Functions

    +

    Every function in PIL is either a pure, a constr or a query function. They are denoted by

    +
      +
    • |...| ...
      • +
    • constr |...| ...
      • +
    • query |...| ...
      • +
    +

    Inside constr functions, it is possible to create new witness columns +and add constraints to the set of constraints (see the Statement Blocks section for details).

    +

    Inside query functions, it is possible to evaluate the value of a column on the "current" row +using the std::prover::eval function.

    +

    Both actions require a certain context to be available, which is not the case for example when +the values of a fixed column are computed.

    +

    A query function can only be used in the query or hint part of a witness column while constr functions +can only be evaluated in the constraint part of a namespace or machine.

    +

    You can define and call new constr functions inside a constr function and you can call and define +new query functions inside query functions, but as soon as you enter a pure function, this is not possible any more.

    +

    Examples:

    +
    // This function creates and returns a new witness column.
+let new_wit = constr || { let x; x };
+// Queries the current value of a column and returns its square.
+let square_of = query |x| { let v = std::prover::eval(x); v * v };
+// Creates a new witness column, constrains it to be boolean and returns it.
+let new_bool = constr |x| { let x = new_wit(); x * (x - 1) = 0; x };
+// This is a pure function that only returns a constraint, but does not add it
+// to the global set of constraints.
+let bool_constraint: expr -> Constr = |x| x * (x - 1) = 0;
    +

    Patterns

    +

    Patterns are a way to destructure or match certain values. They are valid in match arms, +function parameters or left hand sides of let statements in blocks.

    +

    A pattern is built up in from the following components:

    +
      +
    • _ - the "catch all" pattern that matches anything
      • +
    • x - for an identifier x, matches anything and assigns the value to the new local variable of that name
      • +
    • k - for a literal number k, matches the exact number, either as an int or a fe
      • +
    • -k - for a literal number k, matches the exact negated number, either as an int or a fe
      • +
    • "text" - for a string literal, matches the exact string literal as a string
      • +
    • (a, b, c) - for a tuple, matches a tuple-typed value if all the components match
      • +
    • [a, b, c] - for an array, matches array values of exactly the same length if all the components match
      • +
    • [a, .., b, c] - matches an array that has an initial segment of a and ends in b, c. The omitted part can be empty.
      • +
    • X::Y(a, b) - for an enum variant X::Y, matches that enum variant if all the enum fields match.
      • +
    +

    Patterns can be nested, which means that the components of tuple and array patterns +are themselves patterns.

    +

    Some examples:

    +
    // This pattern de-structures the first function parameter.
+let f: (int, int), int -> int = |(a, b), c| (a + c, b);
+// Matches a tuple, ignores the second component.
+let (x, _) = f((6, 7), 3);
+// The match statement typically uses patterns to check for certain values
+// but it can also destructure and create new local variables valid inside
+// the match arm.
+let t = match (x, f((1, x), 2)) {
+    (0, _) => 0,
+    (1, _) => 7,
+    (_, y) => y,
+    _ => 9
+};
+let head: int[] -> int = |x| match x {
+    // Matches the first element of a non-empty array and binds it to a local variable.
+    [a, ..] => a,
+    [] => std::check::panic("Called 'head' on empty array."),
+};
    +
    +

    Note that PIL does not check that patterns in a match expression are exhaustive.

    +
    +

    (Ir-)refutability

    +

    A pattern is refutable if there is a value of the correct type that the pattern does not match. +An example is the pattern 7 since it does not match all integers, or the patten [x, ..], because it +does not match the empty array.

    +

    Refutable patterns are fine in match arms, because if the pattern does not match, the evaluator will +just continue trying the next match arm, but they are disallowed in let statements and in function +parameters, because there we do not have the option of "trying the next arm".

    +

    Example:

    +
    let f: int -> int[] = |i| match i {
+    // This is a refutable pattern, but it is fine
+    // because we will try the next match arm.
+    0 => [],
+    _ => f(i - 1) + [i],
+};
+// This pattern does not match all `int[]`, because it requires a length
+// of at least one.
+let [x, ..] = f(8);
    +

    The following patterns are refutable:

    +
      +
    • all integer literal patterns
      • +
    • all string literal patterns
      • +
    • enum variant patterns
      • +
    • tuple patterns that have refutable components
      • +
    • array patterns that are not [..].
      • +
    +

    Variable patterns and _ are always irrefutable.

    +

    Types

    +

    The powdr-pil language has the following types:

    +
      +
    • bool
      • +
    • int (integer)
      • +
    • fe (field element)
      • +
    • string
      • +
    • tuple
      • +
    • array
      • +
    • function type
      • +
    • expr (expression)
      • +
    • ! ("bottom" or "unreachable" type)
      • +
    • enum types
      • +
    +
    +

    In addition, there are the col and inter types, but they are special in that +they are only used for declaring columns, but cannot appear as the type of an expression. +See Declaring and Referencing Columns for details.

    +
    +

    Powdr-pil performs Hindley-Milner type inference. This means that, similar to Rust, the type of +a symbol does not always have to be specified. The compiler will try to find a type for every +symbol depending both on the value assigned to the symbol and on the context the symbol is used in. +It is an error if the type is not uniquely determined.

    +

    Symbols can have a generic type, but in those cases, you have to explicitly specify the generic type. +Such declarations can require type variables to satisfy certain trait bounds. +Currently, only built-in traits are supported (see the next section).

    +

    Literal numbers do not have a specific type, they can be either int, fe or expr (the types that +implement the FromLiteral trait), and their type can also stay generic until evaluation.

    +

    Example

    +

    The following snippet defines a function that takes a value of a generic type and returns the value incremented by one. +The type bounds on the generic type are FromLiteral and Add. The type checker will complain if we do not specify +the type bounds. The bound Add is required because we use the + operator in the function and FromLiteral is needed +because we use the literal 1 as a value of that type.

    +
    let<T: FromLiteral + Add> add_one: T -> T = |i| i + 1;
    +

    Declaring and Referencing Columns

    +

    A symbol declared to have type col or inter (or col[k] / inter[k]) is a bit special:

    +

    These symbols represent columns in the arithmetization and the types of values that can be assigned to +such symbols and the references to the symbols are different from their declared type.

    +

    If you assign a value to a col symbol, that value is expected to have type int -> fe or int -> int (or an array thereof). +This allows the simple declaration of a fixed column let byte: col = |i| i & 0xff; without complicated conversions. +The integer value is converted to a field element during evaluation, but it has to be non-negative and less than +the field modulus.

    +

    Symbols of declared type col are fixed (those with value) or witness columns (those without value).

    +

    A symbol of declared type inter is an intermediate column. You can assign it a value of type expr. +The idea of an intermediate column is that it is an algebraic expression of other columns that you do +not want to compute multiple times.

    +
    +

    Note that if you use let x: expr = a * b;, the symbol x is just a name in the PIL environment, +this will not create an intermediate column. The difference between inter and expr in this case +is that if you use let x: inter = ..., the expression might not be inlined into constraints (depending on the backend), +while if you use let x: expr = ..., it will always be inlined.

    +
    +

    If you reference a symbol of declared type inter or col, the type of the reference is expr (or expr[]). +A byte constraint is as easy as [ X ] in [ byte ], since the expected types in plookup columns is expr. +The downside is that you cannot evaluate columns as functions. If you want to do that, you either have to assign +a copy to an int -> int symbol: let byte_f: int -> int = |i| i & 0xff; let byte: col = byte_f;. +Or you can use the built-in function std::prover::eval if you want to do that inside a prover query or hint.

    +

    All other symbols use their declared type both for their value and for references to these symbols.

    +

    Built-in Traits

    +

    FromLiteral: +Implemented by int, fe, expr. The type of a number literal needs to implement FromLiteral.

    +

    Add: Implemented by int, fe, expr, T[], string. Used by <T: Add> +: T, T -> T (binary plus).

    +

    Sub: +Implemented by int, fe, expr. Used by <T: Sub> -: T, T -> T (binary minus).

    +

    Neg: +Implemented by int, fe, expr. Used by <T: Neg> -: T -> T (unary minus).

    +

    Mul: +Implemented by int, fe, expr. Used by <T: Mul> *: T, T -> T (binary multiplication).

    +

    Pow: +Implemented by int, fe, expr, Used by <T: Pow> **: T, int -> T (exponentiation).

    +

    Ord: +Implemented by int. Used by <T: Ord> op: T, T, -> bool for op being one of <, >, <=, >=.

    +

    Eq: +Implemented by int, fe, expr. Used by <T: Eq> op: T, T -> bool for op being one of ==, !=.

    +

    List of Types

    +

    Bool

    +

    Type name: bool

    +

    Booleans are the results of comparisons. They allow the following operators:

    +
      +
    • &&: logical conjunction
      • +
    • ||: logical disjunction
      • +
    • !: logical negation
      • +
    +

    Short-circuiting is not performed when evaluating boolean operators. +This means that (1 == 1) || std::check::panic("reason") will cause a panic abort.

    +

    Integer

    +

    Type name: int

    +

    Integers in powdr-pil have unlimited size. +Array index requires an integer and row indices (for example the input to a fixed +column defined through a function) are also integers.

    +

    Integer implements FromLiteral, which means that literal numbers can be used in contexts where int is expected.

    +

    Integers allow the following operators, whose result is always an integer:

    +
      +
    • +: addition
      • +
    • -: subtraction (also unary negation)
      • +
    • *: multiplication
      • +
    • /: integer division rounding towards zero, division by zero results in a runtime error
      • +
    • **: exponentiation, the exponent needs to be non-negative and fit 32 bits, otherwise a runtime error is triggered
      • +
    • %: remainder after division, (for signed arguments, p % q == sgn(p) * abs(p) % abs(q)), remainder by zero results in a runtime error
      • +
    • &: bit-wise conjunction
      • +
    • |: bit-wise disjunction
      • +
    • ^: bit-wise exclusive or
      • +
    • <<: bit-wise shift left, the shift amount needs to be non-negative and fit 32 bits, otherwise a runtime error is triggered
      • +
    • >>: bit-wise shift right, the shift amount needs to be non-negative and fit 32 bits, otherwise a runtime error is triggered
      • +
    +

    The exponentiation operator on field elements requires a non-negative integer as exponent. +It has the signature **: fe, int -> fe.

    +

    In addition, the following comparison operators are allowed, the result is a boolean:

    +
      +
    • <: less than
      • +
    • <=: less or equal
      • +
    • ==: equal
      • +
    • !=: not equal
      • +
    • >=: greater or equal
      • +
    • >: greater than
      • +
    +

    Field Element

    +

    Type name: fe

    +

    Field elements are elements of a particular but unspecified prime field. The exact field is +chosen when powdr is run. The modulus of that field can be accessed via std::field::modulus().

    +

    Field elements are the values stored in (fixed and witness) columns. +Arithmetic inside constraints (algebraic expressions) is also always finite field arithmetic.

    +

    The type fe implements FromLiteral, which means that literal numbers can be used in contexts where fe is expected. +If the literal number is not less than the field modulus, a runtime error is caused.

    +

    Field elements allow the following operators, where the result is always a field element:

    +
      +
    • +: finite field addition
      • +
    • -: finite field subtraction (also unary negation)
      • +
    • *: finite field multiplication
      • +
    +

    There is also an exponentiation operator ** on field elements. It requires the exponent +to be a non-negative integer and thus has the signature **: fe, int -> fe. If the exponent is negative, a runtime error is triggered. 0**0 is defined as 1.

    +

    The following comparison operators exist for field elements, whose result is a boolean:

    +
      +
    • ==: equality comparison
      • +
    • !=: inequality comparison
      • +
    +

    Since finite fields do not have an inherent order as integers do, if you want to +compare them using <, you have to first convert them to integers.

    +

    String

    +

    Type name: string

    +

    String literals are written as "string content". They are mainly used for debugging or +documentation purposes, since they cannot occur in constraints.

    +

    They allow the following operators:

    +
      +
    • +: string concatenation
      • +
    +

    Tuple

    +

    Type name: (..., ..., ...)

    +

    Tuples are complex types that are composed from other types, either zero or two or more. There is no tuple type with a single element ((int) is the same as int). +The empty tuple type is written as ().

    +

    Examples include (int, int) (a pair of integers) and ((fe[], int), ()) +(a tuple consisting of a tuple that contains an array of field elements and an integer +and an empty tuple).

    +

    Tuples values are constructed using parentheses: (1, 2) constructs the tuple that consists of +a one and a two.

    +

    Tuples do not allow any operators.

    +

    Array

    +

    Type name: _[]

    +

    Arrays are statically or dynamically-sized collections of elements each of the same type +denoted for example as int[] (a dynamically-sized array of integers) or int[2] (an array of integers with static size two). +Array values can be constructed inline using [1, 2] (the array containing the +two elements one and two).

    +

    The built-in function std::array::len can be used to retrieve the length of an array (statically or dynamically sized) +and the elements of an array a can be accessed using a[0], a[1], etc.

    +

    The type checker currently only knows dynamically-sized arrays, which means that it does not compare the sizes of statically-sized array types.

    +

    Arrays allow the following operators:

    +
      +
    • +: array concatenation
      • +
    • _[]: array index access, the index needs to be a non-negative integer that is less than the length of the array, otherwise a runtime error is triggered
      • +
    +

    Function

    +

    Type name: T1, T2, ..., Tn -> T0

    +

    Function type names are for example denoted as int, fe -> int or -> int. +Note that (int, fe) -> int is a function that takes a single tuple as parameter +while int, fe -> int takes two parameters of type integer and field element.

    +

    Functions can be constructed using the lambda expression notation. +For example |x, y| x + y returns a function that performs addition. +The lambda expression || 7 is a function that returns a constant (has no parameters). +Lambda functions can capture anything in their environment and thus form closures.

    +

    Functions allow the following operators:

    +
      +
    • _(...): function evaluation
      • +
    +

    Powdr-pil is usually side-effect free, but there are some built-in functions that have +side-effects: +These are std::debug::print and std::check::panic and all functions that call them. +Expressions are eagerly evaluated from left to right.

    +

    Expression

    +

    Type name: expr

    +

    Expressions are the elements of the algebraic expressions used in constraints.

    +

    References to columns have type expr and expr also implements FromLiteral, +which means that literal numbers can be used in contexts where expr is expected.

    +

    Example:

    +
    let x: col;
+let y: col;
+let f: -> expr = || x + y;
+let g = || 7;
+f() = g();
    +

    The first two lines define the witness columns x and y. +The next two lines define the utility functions f and g. +The function f adds the two columns x and y symbolically - it essentially returns the expression x + y. +The last line is at statement level and it is expected that it evaluates to a constraint, in this case, a polynomial identity. +Because of that, g is inferred to have type -> expr, which is compatible with the literal 7.

    +

    Since expressions are built from abstract column references, applying operators +does not perform any operations but instead constructs an abstract expression structure / syntax tree.

    +

    Expressions allow the following operators, which always construct new expressions:

    +
      +
    • +: additive combination of expressions
      • +
    • -: subtractive combination of expressions (also unary negation)
      • +
    • *: multiplicative combination of expressions
      • +
    • **: exponential combination of an expression with an integer constant
      • +
    • ': reference to the next row of a column, can only be applied directly to columns and only once
      • +
    +

    The operator = on expressions constructs a constraint (see [../builtins#Constr]).

    +

    Bottom Type

    +

    Type name: !

    +

    The bottom type essentially is the return type of a function that never returns, which currently only happens +if you call the panic function. The bottom type is compatible with any other type, which means +that you can call the panic function in any context.

    +

    Enum Types

    +

    Enums are user-defined types that can hold different named alternatives plus data. An enum type has a (namespaced) name +that uniquely identifies it and is also used to reference the type.

    +

    Enums are declared in the following way:

    +
    enum EnumName {
+    Variant1,
+    Variant2(),
+    Variant3(int),
+    Variant4(int, int[], EnumName),
+}
    +

    The variants must have unique names inside the enum and they can optionally take additional data. +Each variant declares a type constructor function that can be used to create a value of the enum:

    +
    let a = EnumName::Variant1;
+let b = EnumName::Variant2();
+let c = EnumName::Variant3(3);
+let d = EnumName::Variant4(1, [2, 3], EnumName::Variant1);
    +

    Recursive enums are allowed.

    +

    Enums do not allow any operators.

    +

    Fixed columns

    +

    powdr-pil requires the definition of fixed columns at the time of declaration.

    +

    For example:

    +
    col fixed ONES = [1]*; // this is valid
+// col fixed ONES; // this is invalid
    +

    A number of mechanisms are supported to declare fixed columns. Let N be the total length of the column we're defining.

    +

    Values with repetitions

    +

    powdr-pil supports a basic language to define the value of constant columns using:

    +
      +
    • arrays, for example [1, 2, 3]
      • +
    • repetition, for example [1, 2]*
      • +
    • concatenation, for example [1, 2] + [3, 4]
      • +
    +

    These mechanisms can be combined, as long as a single repetition is used per column definition.

    +
    // valid, as for a given total length, only one column fits this definition for a given `N`
+col fixed A = [1, 2] + [3, 4]* + [5];
+
+// invalid, as many columns fit this definition
+// col fixed A = [1, 2]* + [3, 4]*
    +

    Mappings

    +

    A column can be seen as a mapping from integers to field elements. In this context, different functions are supported:

    +
    col fixed B(i) { i + 1 };
+
+col fixed C(i) {match i {
+    0 => 1,
+    _ => 0
+}};
    +

    Built-ins

    +

    Functions

    +

    The following functions are built into the compiler. +They need to be defined to be accessible, but their assigned value is ignored and the compiler replaces it with the following.

    +

    Array length

    +
    let<T> std::array::len: T[] -> int
    +

    Returns the length of an array as an integer.

    +

    Example:

    +
    let x = [1, 2, 3];
+let l = std::array::len(x); // returns 3
    +

    Panic

    +
    let std::check::panic: string -> !
    +

    Aborts evaluation and prints its argument as error message as a +side-effect of its evaluation.

    +

    Since panic does not generate a constraint, it cannot be used +for correctness checks. The verifier only checks constraints / identities and +thus ignores anything that could lead to a panic. Panic should only +be used to check prover-internal consistency.

    +

    Example:

    +
    let secp256k1_inverse = |x|
+    if x == std::convert::fe(0) {
+        panic!("Tried to compute the inverse of zero.")
+    } else {
+        std::math::ff::inverse(x, secp256k1_modulus);
+    };
    +

    Conversions

    +
    let<T: FromLiteral> std::convert::fe: T -> fe
    +

    This function is meant to be used on int, but also works on fe for convenience.

    +

    It converts a non-negative integer less than the field modulus to a field element. +Causes a type error in all other cases.

    +

    If the argument is already a field element, it is returned without modification.

    +
    let<T: FromLiteral> std::convert::int: T -> int
    +

    This function is meant to be used on fe, but also works on int for convenience.

    +

    It converts a field element to an integer.

    +

    If the argument is already an integer, it is returned without modification.

    +
    let<T: FromLiteral> std::convert::expr: T -> expr
    +

    This function is meant to be used on int, but also works on fe and expr for convenience.

    +

    It converts an integer to an expr.

    +

    If the argument is already an expr, it is returned without modification.

    +

    Printing

    +
    let std::debug::print: string -> Constr[]
    +

    This function takes a string and prints it on the standard output during evaluation, as a side-effect of its evaluation.

    +

    This function should only be used for debugging purposes.

    +

    Note that the function does not append a newline at the end.

    +

    It returns an empty Constr array so that it can be used at statement level where +constraints are expected.

    +

    Modulus

    +
    let std::field::modulus: -> int
    +

    Returns the current field's modulus as an integer.

    +

    Example:

    +
    // Inside a machine
+if std::field::modulus() != 2**64 - 2**32 + 1 {
+    panic!("This machine can only be used with the Goldilocks field.")
+} else {
+    []
+};
    +

    Evaluate

    +
    let std::prover::eval: expr -> fe
    +

    Evaluates a column (potentially with ' applied) on the current row.

    +

    This function can only be used for prover queries or hints and it only +works on columns (and those with ' applied). This means you cannot use +std::prover::eval(x + 1).

    +

    In the following example, the column x is evaluated in a prover +hint that returns the square root of a number. +Example:

    +
    machine Sqrt {
+    let sqrt_hint: fe -> fe = |x| match x {
+        // Code to compute the square root of x goes here.
+    };
+
+    col witness x;
+    col witness y(i) query std::prelude::Query::Hint(sqrt_hint(std::prover::eval(x)));
+
+    y * y = x;
+
+}}
    +

    Challenges

    +
    let std::prelude::challenge: int, int -> expr
    +

    Constructs a challenge object, essentially asking the verifier for a random number.

    +

    The first argument is the proof stage and the second is the identifier of the challenge.

    +

    If you want two challenges to be different, you have to choose different IDs.

    +

    Degree

    +
    let std::prover::min_degree: -> int
+let std::prover::max_degree: -> int
+let std::prover::degree: -> int
    +

    The degree function returns the number of rows / the length of the witness columns, also +known as the degree. Outside of fixed column definitions, degree fails if min_degree and max_degree are different.

    +

    Hints

    +
    let std::prelude::set_hint: expr, (int -> std::prelude::Query) -> ()
    +

    This function can be used to set a "query function" for a witness column. +Query functions are used during witness generation and allow witness column cells +to receive a value even though they are not uniquely constrained by the constraints.

    +

    The first argument must be a witness column and the function can only be called +once per witness column.

    +

    Types

    +

    There are some types that are not proper built-in types (in the sense that they are not treated +specially in the type system), but they are defined in the +standard library and are referenced by built-in functions.

    +

    Constr

    +

    The type Constr or more specifically, std::prelude::Constr is the type of a constraint. +Expressions at statement level are required to evaluate either to Constr or Constr[].

    +

    It is defined as follows:

    +
    enum Constr {
+    /// A polynomial identity.
+    Identity(expr, expr),
+    /// A lookup constraint with selectors.
+    Lookup((Option<expr>, Option<expr>), (expr, expr)[]),
+    /// A permutation constraint with selectors.
+    Permutation((Option<expr>, Option<expr>), (expr, expr)[]),
+    /// A connection constraint (copy constraint).
+    Connection((expr, expr)[])
+}
    +

    The operator = can be applied on two expr values and results in a Constr::Identity.

    +

    The type implements no traits and allows no operators.

    +

    Operators

    +

    The following operators are supported by powdr-pil with their respective signatures.

    +
    let<T: Add> +: T, T -> T
+let<T: Sub> -: T, T -> T
+let<T: Neg> -: T -> T
+
+let<T: Mul> *: T, T -> T
+let /: int, int -> int
+let %: int, int -> int
+let<T: Pow> **: T, int -> T
+
+let <<: int, int -> int
+let >>: int, int -> int
+let &: int, int -> int
+let |: int, int -> int
+let ^: int, int -> int
+
+let<T: Ord> <: T, T -> bool
+let<T: Ord> <=: T, T -> bool
+let<T: Ord> >: T, T -> bool
+let<T: Ord> >=: T, T -> bool
+
+let<T: Eq> ==: T, T -> bool
+let<T: Eq> !=: T, T -> bool
+
+let =: expr, expr -> Constr
+let ': expr -> expr
+
+let ||: bool, bool -> bool
+let &&: bool, bool -> bool
+let !: bool -> bool
+
    +

    Frontends

    +

    While any frontend VM can be implemented in powdr-asm, powdr comes with several frontends for popular instruction set architectures.

    +

    RISCV

    +

    A RISCV frontend for powdr is already available.

    +

    How to run the Rust-RISCV example

    +
    # Install the riscv target for the rust compiler
+rustup target add riscv32imac-unknown-none-elf
+# Run the powdr-rs compiler. It will generate files in ./output/
+powdr-rs compile riscv/tests/riscv_data/sum -o output
+# Run powdr to compile powdr-asm to powdr-PIL and generate the witness
+# -i specifies the prover witness input (see below)
+powdr pil output/sum.asm -o output -f -i 10,2,4,6
+
    +

    The example Rust code verifies that a supplied list of integers sums up to a specified value.

    +
    #![no_main]
+#![no_std]
+
+extern crate alloc;
+use alloc::vec::Vec;
+
+use powdr_riscv_runtime::io::read_u32;
+
+#[no_mangle]
+pub fn main() {
+    // This is the sum claimed by the prover.
+    let proposed_sum = read_u32(0);
+    // The number of integers we want to sum.
+    let len = read_u32(1) as usize;
+    // Read the numbers from the prover and store them
+    // in a vector.
+    let data: Vec<_> = (2..(len + 2)).map(|idx| read_u32(idx as u32)).collect();
+    // Compute the sum.
+    let sum: u32 = data.iter().sum();
+    // Check that our sum matches the prover's.
+    assert_eq!(sum, proposed_sum);
+}
    +

    The function read_u32 reads a number from the list supplied with -i.

    +

    This is just a first mechanism to provide access to the outside world. +The plan is to be able to call arbitrary user-defined ffi functions that will translate to prover queries, +and can then ask for e.g. the value of a storage slot at a certain address or the root hash of a Merkle tree.

    +

    RISCV and ZK-Continuations

    +

    ZK-continuations can be used to make proofs for unbounded execution traces of +Rust programs, where the trace is split into many different chunks. A proof +is computed for each chunk, and all proofs can be combined with +recursion/aggregation until a single proof remains.

    +

    For the details of how memory is handled in the ZK-continuations case please +see this.

    +

    powdr-rs has experimental support to ZK-continuations, which can be used as follows.

    +

    Let's use as example test many chunks from the riscv crate:

    +
    #![no_main]
+#![no_std]
+
+extern crate alloc;
+extern crate powdr_riscv_runtime;
+use alloc::vec::Vec;
+
+#[no_mangle]
+pub fn main() {
+    let mut foo = Vec::new();
+    foo.push(1);
+
+    for _ in 0..100 {
+        foo.push(foo.iter().sum());
+    }
+
+    // Compute some fibonacci numbers
+    // -> Does not access memory but also does not get optimized out...
+    let mut a = 1;
+    let mut b = 1;
+    for _ in 0..150000 {
+        let tmp = a + b;
+        a = b;
+        b = tmp;
+    }
+    // Don't optimize me away :/
+    assert!(a > 0);
+}
    +

    First we need to compile the Rust code to powdr-asm:

    +
    powdr-rs compile riscv/tests/riscv_data/many_chunks
+
    +

    Now we can use powdr's RISCV executor to estimate how many cycles are needed:

    +
    powdr-rs execute many_chunks.asm
+
    +
    ...
+Execution trace length: 750329
+
    +

    By default, powdr-RISCV uses chunks of length 2^18. That means we will need at +least 3 chunks.

    +

    For the continuations case, the compiled assembly code looks different because +of the external memory commitments, so we need to recompile using the +--continuations flag:

    +
    powdr-rs compile riscv/tests/riscv_data/many_chunks --continuations
+
    +

    We can now execute the program with continuations enabled:

    +
    powdr-rs -- execute many_chunks.asm --continuations
+
    +

    The output now is longer:

    +
    Running chunk 0...
+Building bootloader inputs for chunk 0...
+26 unique memory accesses over 2 accessed pages: {31, 32}
+Estimating the shutdown routine to use 1362 rows.
+Bootloader inputs length: 1285
+Simulating chunk execution...
+Initial memory root hash: 44cd91c12033ad4c6a6b19793b73f1a66d99a0e0bf63494c12ceb1f451ec9452
+Final memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125
+Chunk trace length: 260782
+Validating chunk...
+Bootloader used 3134 rows.
+  => 257648 / 262144 (98%) of rows are used for the actual computation!
+Proved 257647 rows.
+
+Running chunk 1...
+Building bootloader inputs for chunk 1...
+0 unique memory accesses over 0 accessed pages: {}
+Estimating the shutdown routine to use 42 rows.
+Bootloader inputs length: 83
+Simulating chunk execution...
+Initial memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125
+Final memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125
+Chunk trace length: 262102
+Validating chunk...
+Bootloader used 62 rows.
+  => 262040 / 262144 (99%) of rows are used for the actual computation!
+Proved 262039 rows.
+
+Running chunk 2...
+Building bootloader inputs for chunk 2...
+2 unique memory accesses over 1 accessed pages: {31}
+Estimating the shutdown routine to use 702 rows.
+Bootloader inputs length: 684
+Simulating chunk execution...
+Initial memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125
+Final memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125
+Chunk trace length: 232057
+Validating chunk...
+Bootloader used 1610 rows.
+  => 259832 / 262144 (99%) of rows are used for the actual computation!
+Done!
+
    +

    The step above is informational, but for the proofs we also need the full witness:

    +
    powdr-rs execute many_chunks.asm --witness
+
    +

    The witnesses are written in ./chunk_0/commits.bin, ./chunk_1/commits.bin +and ./chunk_2/commits.bin.

    +

    Now that we have the witnesses for all chunks we can use powdr (instead of +powdr-rs) to compute proofs for each chunk:

    +
    powdr prove many_chunks.asm -d chunk_0 --backend estark-dump
+powdr prove many_chunks.asm -d chunk_1 --backend estark-dump
+powdr prove many_chunks.asm -d chunk_2 --backend estark-dump
+
    +

    These proofs are mock proofs for the sake of the example, but any backend +should work here.

    +

    After generating real proofs, each specific proof system can be used for the +recursion/aggregation parts. A follow-up tutorial on that is coming soon.

    +

    Valida

    +

    A Valida front end for powdr is under development. If you are interested, feel free to reach out!

    +

    EVM

    +

    An EVM frontend for powdr is under development. If you are interested, feel free to reach out!

    +

    Backends

    +

    powdr aims to have full flexibility when it comes to generating proofs and comes with a few built-in backends to get started with zkVMs.

    +

    Plonky3

    +

    powdr partially supports plonky3 with the Goldilocks, BabyBear, KoalaBear, and Mersenne31 fields.

    +

    Halo2

    +

    powdr supports the PSE fork of halo2 with the bn254 field.

    +

    eSTARK

    +

    powdr supports the eSTARK proof system with the Goldilocks field, +implemented by the starky library from eigen-zkvm.

    +

    Architecture

    +

    powdr applies a number of steps in order to reduce a powdr-asm program into PIL.

    +

    We provide a high level overview of these steps.

    +
                ┌────────────┐           ┌──────────┐
+            │            │           │          │
+ powdr-asm  │            │ AIR graph │          │  PIL
+───────────►│  compiler  ├───────────┤  linker  ├──────►
+            │            │           │          │
+            │            │           │          │
+            └────────────┘           └──────────┘
+
    +

    Compiler

    +

    In this section, we explain how the powdr compiler reduces a program made of virtual and constrained machines to a set of AIRs.

    +

    Virtual machine reduction

    +

    The first step is to reduce virtual machines to constrained machines. This step is run on all machines and does not affect constrained machines. +As a result of this step, for each machine:

    + +

    Block enforcement

    +

    Block enforcement applies on constrained machines. It makes sure that the operation_id is constant within each machine block.

    +

    AIR generation

    +

    At this point, all machines contain only:

    +
      +
    • an optional degree range
      • +
    • constraints
      • +
    • links to other machines
      • +
    • operations
      • +
    +

    Let's define AIR as a data structure with only these elements.

    +

    Starting from the main machine's type, we create a tree of AIR objects by traversing its submachines, recursively instantiating each machine as an AIR. +Let's define the AIR tree as the resulting tree.

    +

    Linker

    +

    A linker is used to turn an AIR tree into a single PIL file. +The linking process operates in the following way:

    +
      +
    1. Create an empty PIL file
      2. +
    2. Start from the main AIR. Let main_degree_range be its degree.
      3. +
    3. For each AIR +
        +
      1. Create a new namespace in the PIL file +2a. If degrees-mode is vadcop, set the namespace degree to that of the AIR +2b. If degrees-mode is monolithic, set the namespace degree to main_degree_range
        2. +
      2. Add the constraints to the namespace
        3. +
      3. Turn the links into lookups and permutations and add them to the namespace
        4. +
      +
      4. +
    +

    The result is a monolithic AIR where:

    +
      +
    • each machine instance is a namespace
      • +
    • each namespace defines its own degree range
      • +
    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + + +
    + + diff --git a/publics.html b/publics.html new file mode 100644 index 0000000000..ac9b952190 --- /dev/null +++ b/publics.html @@ -0,0 +1,267 @@ + + + + + + Using publics - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Using publics

    +

    Public values are a small but important part of verifying ZK proofs. Often, the +verifier is interested in inputs and/or outputs to a public function.

    +

    In the toy example below, the prover can show that they know the square root of +a public value that is published with the proof.

    +

    You can also run this example directly in the powdr +repository:

    +
    cargo run --example sqrt_with_public
+
    +

    You can also enable logs to know what is happening internally:

    +
    RUST_LOG=info cargo run --example sqrt_with_public
+
    +
    machine Square with degree: 8 {
+    reg pc[@pc];
+    reg X[<=];
+    reg Y[<=];
+    reg A;
+
+    // Expose the register value of A in the last time step
+    public N = A(7);
+
+    instr square X -> Y {
+        Y = X * X
+    }
+	
+    function main {
+        A <=X= ${ std::prelude::Query::Input(0, 1) };
+        A <== square(A);
+    }
+}
    +

    This example uses a small VM with jump and a square instructions. The +program reads the private input from the prover, squares it, and enters an +infinite loop to ensure that all the remaining rows are filled with the result of A^2. +Since the length of our execution trace is fixed and equals 8, we can tag the +8-th row of A (A[7]) as the publicly exposed number.

    +

    Let's run all steps needed to generate and verify a proof that 32 = 9:

    +
      +
    1. Setup step:
      2. +
    +
    powdr setup 8 --backend halo2 --field bn254
+
    +
      +
    1. Witness generation:
      2. +
    +
    powdr pil test_data/asm/sqrt_with_public.asm --field bn254 -i 3
+
    +
      +
    1. Verification Key generation:
      2. +
    +
    powdr verification-key test_data/asm/sqrt_with_public.asm --field bn254 --backend halo2 --params params.bin
+
    +
      +
    1. Proof generation:
      2. +
    +
    powdr prove test_data/asm/sqrt_with_public.asm --field bn254 --backend halo2 --params params.bin --vkey vkey.bin
+
    +
      +
    1. Proof verification:
      2. +
    +
    powdr verify test_data/asm/sqrt_with_public.asm --field bn254 --backend halo2 --params params.bin --vkey vkey.bin --proof sqrt_with_public_proof.bin --publics 9
+
    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
    + + diff --git a/quick_start_vm.html b/quick_start_vm.html new file mode 100644 index 0000000000..2da364148f --- /dev/null +++ b/quick_start_vm.html @@ -0,0 +1,266 @@ + + + + + + Quick Start - powdr + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    Quick Start

    +

    First, create a new powdrVM project with

    +
    cargo-powdr new my-host
+
    +
      +
    • Your new crate my-host is the host of the virtual machine's execution, +and is responsible for preparing data and running the prover.
      • +
    • The guest crate in your new project contains the Rust code whose execution will be proven.
      • +
    +

    Most of these details are abstracted by the powdr library.

    +

    Now that your project is set up, just run

    +
    cargo run -r
+
    +

    The host manages a powdr::Session which can be used to share data +with the guest, test the execution, and generate ZK proofs.

    +
    use powdr::Session;
+
+fn main() {
+    env_logger::init();
+
+    let some_data = vec![1, 2, 3, 4, 5];
+
+    // Create a new powdr session to make proofs for the `guest` crate.
+    // Store all temporary and final artifacts in `powdr-target`.
+    let mut session = Session::builder()
+        .guest_path("./guest")
+        .out_path("powdr-target")
+        // powdrVM splits long execution traces into chunks
+        // which are proven individually.
+        // The default size of a chunk is 2^20 = 1048576 rows.
+        // For experiments and smaller traces/proofs, it may be beneficial to reduce the chunk size.
+        // Create a new powdr session with a custom chunk size.
+        // 2^18 = 262144 rows per chunk.
+        .chunk_size_log2(18)
+        .build()
+        // Write `some_data` to channel 1 and the sum of `some_data` to channel 2.
+        // Any serde-serializable type can be written to a channel.
+        .write(1, &some_data)
+        .write(2, &some_data.iter().sum::<u32>());
+
+    // Fast dry run to test execution.
+    session.run();
+
+    // Uncomment to compute the proof.
+    //session.prove();
+}
    +

    The guest contains the custom logic that should be proved.

    +
    use powdr_riscv_runtime;
+use powdr_riscv_runtime::io::read;
+
+fn main() {
+    // Any serde-deserializable type can be read from a channel.
+    // Read some data from channel 1.
+    let data: Vec<u32> = read(1);
+    // Read the claimed sum from channel 2.
+    let sum: u32 = read(2);
+
+    // Check that the claimed sum is correct.
+    assert_eq!(data.iter().sum::<u32>(), sum);
+}
    + +
    + + +
    +
    + + + +
    + + + + + + + + + + + + + + + + + + +
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Due to that we also manually replace ' with its url-encoded + // representation (%27). + var searchterms = encodeURIComponent(searchterms.join(" ")).replace(/\'/g, "%27"); + + return '' + result.doc.breadcrumbs + '' + + '' + + teaser + ''; + } + + function makeTeaser(body, searchterms) { + // The strategy is as follows: + // First, assign a value to each word in the document: + // Words that correspond to search terms (stemmer aware): 40 + // Normal words: 2 + // First word in a sentence: 8 + // Then use a sliding window with a constant number of words and count the + // sum of the values of the words within the window. Then use the window that got the + // maximum sum. If there are multiple maximas, then get the last one. + // Enclose the terms in . + var stemmed_searchterms = searchterms.map(function(w) { + return elasticlunr.stemmer(w.toLowerCase()); + }); + var searchterm_weight = 40; + var weighted = []; // contains elements of ["word", weight, index_in_document] + // split in sentences, then words + var sentences = body.toLowerCase().split('. '); + var index = 0; + var value = 0; + var searchterm_found = false; + for (var sentenceindex in sentences) { + var words = sentences[sentenceindex].split(' '); + value = 8; + for (var wordindex in words) { + var word = words[wordindex]; + if (word.length > 0) { + for (var searchtermindex in stemmed_searchterms) { + if (elasticlunr.stemmer(word).startsWith(stemmed_searchterms[searchtermindex])) { + value = searchterm_weight; + searchterm_found = true; + } + }; + weighted.push([word, value, index]); + value = 2; + } + index += word.length; + index += 1; // ' ' or '.' if last word in sentence + }; + index += 1; // because we split at a two-char boundary '. ' + }; + + if (weighted.length == 0) { + return body; + } + + var window_weight = []; + var window_size = Math.min(weighted.length, results_options.teaser_word_count); + + var cur_sum = 0; + for (var wordindex = 0; wordindex < window_size; wordindex++) { + cur_sum += weighted[wordindex][1]; + }; + window_weight.push(cur_sum); + for (var wordindex = 0; wordindex < weighted.length - window_size; wordindex++) { + cur_sum -= weighted[wordindex][1]; + cur_sum += weighted[wordindex + window_size][1]; + window_weight.push(cur_sum); + }; + + if (searchterm_found) { + var max_sum = 0; + var max_sum_window_index = 0; + // backwards + for (var i = window_weight.length - 1; i >= 0; i--) { + if (window_weight[i] > max_sum) { + max_sum = window_weight[i]; + max_sum_window_index = i; + } + }; + } else { + max_sum_window_index = 0; + } + + // add around searchterms + var teaser_split = []; + var index = weighted[max_sum_window_index][2]; + for (var i = max_sum_window_index; i < max_sum_window_index+window_size; i++) { + var word = weighted[i]; + if (index < word[2]) { + // missing text from index to start of `word` + teaser_split.push(body.substring(index, word[2])); + index = word[2]; + } + if (word[1] == searchterm_weight) { + teaser_split.push("") + } + index = word[2] + word[0].length; + teaser_split.push(body.substring(word[2], index)); + if (word[1] == searchterm_weight) { + teaser_split.push("") + } + }; + + return teaser_split.join(''); + } + + function init(config) { + results_options = config.results_options; + search_options = config.search_options; + searchbar_outer = config.searchbar_outer; + doc_urls = config.doc_urls; + searchindex = elasticlunr.Index.load(config.index); + + // Set up events + searchicon.addEventListener('click', function(e) { searchIconClickHandler(); }, false); + searchbar.addEventListener('keyup', function(e) { searchbarKeyUpHandler(); }, false); + document.addEventListener('keydown', function(e) { globalKeyHandler(e); }, false); + // If the user uses the browser buttons, do the same as if a reload happened + window.onpopstate = function(e) { doSearchOrMarkFromUrl(); }; + // Suppress "submit" events so the page doesn't reload when the user presses Enter + document.addEventListener('submit', function(e) { e.preventDefault(); }, false); + + // If reloaded, do the search or mark again, depending on the current url parameters + doSearchOrMarkFromUrl(); + } + + function unfocusSearchbar() { + // hacky, but just focusing a div only works once + var tmp = document.createElement('input'); + tmp.setAttribute('style', 'position: absolute; opacity: 0;'); + searchicon.appendChild(tmp); + tmp.focus(); + tmp.remove(); + } + + // On reload or browser history backwards/forwards events, parse the url and do search or mark + function doSearchOrMarkFromUrl() { + // Check current URL for search request + var url = parseURL(window.location.href); + if (url.params.hasOwnProperty(URL_SEARCH_PARAM) + && url.params[URL_SEARCH_PARAM] != "") { + showSearch(true); + searchbar.value = decodeURIComponent( + (url.params[URL_SEARCH_PARAM]+'').replace(/\+/g, '%20')); + searchbarKeyUpHandler(); // -> doSearch() + } else { + showSearch(false); + } + + if (url.params.hasOwnProperty(URL_MARK_PARAM)) { + var words = decodeURIComponent(url.params[URL_MARK_PARAM]).split(' '); + marker.mark(words, { + exclude: mark_exclude + }); + + var markers = document.querySelectorAll("mark"); + function hide() { + for (var i = 0; i < markers.length; i++) { + markers[i].classList.add("fade-out"); + window.setTimeout(function(e) { marker.unmark(); }, 300); + } + } + for (var i = 0; i < markers.length; i++) { + markers[i].addEventListener('click', hide); + } + } + } + + // Eventhandler for keyevents on `document` + function globalKeyHandler(e) { + if (e.altKey || e.ctrlKey || e.metaKey || e.shiftKey || e.target.type === 'textarea' || e.target.type === 'text' || !hasFocus() && /^(?:input|select|textarea)$/i.test(e.target.nodeName)) { return; } + + if (e.keyCode === ESCAPE_KEYCODE) { + e.preventDefault(); + searchbar.classList.remove("active"); + setSearchUrlParameters("", + (searchbar.value.trim() !== "") ? "push" : "replace"); + if (hasFocus()) { + unfocusSearchbar(); + } + showSearch(false); + marker.unmark(); + } else if (!hasFocus() && e.keyCode === SEARCH_HOTKEY_KEYCODE) { + e.preventDefault(); + showSearch(true); + window.scrollTo(0, 0); + searchbar.select(); + } else if (hasFocus() && e.keyCode === DOWN_KEYCODE) { + e.preventDefault(); + unfocusSearchbar(); + searchresults.firstElementChild.classList.add("focus"); + } else if (!hasFocus() && (e.keyCode === DOWN_KEYCODE + || e.keyCode === UP_KEYCODE + || e.keyCode === SELECT_KEYCODE)) { + // not `:focus` because browser does annoying scrolling + var focused = searchresults.querySelector("li.focus"); + if (!focused) return; + e.preventDefault(); + if (e.keyCode === DOWN_KEYCODE) { + var next = focused.nextElementSibling; + if (next) { + focused.classList.remove("focus"); + next.classList.add("focus"); + } + } else if (e.keyCode === UP_KEYCODE) { + focused.classList.remove("focus"); + var prev = focused.previousElementSibling; + if (prev) { + prev.classList.add("focus"); + } else { + searchbar.select(); + } + } else { // SELECT_KEYCODE + window.location.assign(focused.querySelector('a')); + } + } + } + + function showSearch(yes) { + if (yes) { + search_wrap.classList.remove('hidden'); + searchicon.setAttribute('aria-expanded', 'true'); + } else { + search_wrap.classList.add('hidden'); + searchicon.setAttribute('aria-expanded', 'false'); + var results = searchresults.children; + for (var i = 0; i < results.length; i++) { + results[i].classList.remove("focus"); + } + } + } + + function showResults(yes) { + if (yes) { + searchresults_outer.classList.remove('hidden'); + } else { + searchresults_outer.classList.add('hidden'); + } + } + + // Eventhandler for search icon + function searchIconClickHandler() { + if (search_wrap.classList.contains('hidden')) { + showSearch(true); + window.scrollTo(0, 0); + searchbar.select(); + } else { + showSearch(false); + } + } + + // Eventhandler for keyevents while the searchbar is focused + function searchbarKeyUpHandler() { + var searchterm = searchbar.value.trim(); + if (searchterm != "") { + searchbar.classList.add("active"); + doSearch(searchterm); + } else { + searchbar.classList.remove("active"); + showResults(false); + removeChildren(searchresults); + } + + setSearchUrlParameters(searchterm, "push_if_new_search_else_replace"); + + // Remove marks + marker.unmark(); + } + + // Update current url with ?URL_SEARCH_PARAM= parameter, remove ?URL_MARK_PARAM and #heading-anchor . + // `action` can be one of "push", "replace", "push_if_new_search_else_replace" + // and replaces or pushes a new browser history item. + // "push_if_new_search_else_replace" pushes if there is no `?URL_SEARCH_PARAM=abc` yet. + function setSearchUrlParameters(searchterm, action) { + var url = parseURL(window.location.href); + var first_search = ! url.params.hasOwnProperty(URL_SEARCH_PARAM); + if (searchterm != "" || action == "push_if_new_search_else_replace") { + url.params[URL_SEARCH_PARAM] = searchterm; + delete url.params[URL_MARK_PARAM]; + url.hash = ""; + } else { + delete url.params[URL_MARK_PARAM]; + delete url.params[URL_SEARCH_PARAM]; + } + // A new search will also add a new history item, so the user can go back + // to the page prior to searching. A updated search term will only replace + // the url. + if (action == "push" || (action == "push_if_new_search_else_replace" && first_search) ) { + history.pushState({}, document.title, renderURL(url)); + } else if (action == "replace" || (action == "push_if_new_search_else_replace" && !first_search) ) { + history.replaceState({}, document.title, renderURL(url)); + } + } + + function doSearch(searchterm) { + + // Don't search the same twice + if (current_searchterm == searchterm) { return; } + else { current_searchterm = searchterm; } + + if (searchindex == null) { return; } + + // Do the actual search + var results = searchindex.search(searchterm, search_options); + var resultcount = Math.min(results.length, results_options.limit_results); + + // Display search metrics + searchresults_header.innerText = formatSearchMetric(resultcount, searchterm); + + // Clear and insert results + var searchterms = searchterm.split(' '); + removeChildren(searchresults); + for(var i = 0; i < resultcount ; i++){ + var resultElem = document.createElement('li'); + resultElem.innerHTML = formatSearchResult(results[i], searchterms); + searchresults.appendChild(resultElem); + } + + // Display results + showResults(true); + } + + fetch(path_to_root + 'searchindex.json') + .then(response => response.json()) + .then(json => init(json)) + .catch(error => { // Try to load searchindex.js if fetch failed + var script = document.createElement('script'); + script.src = path_to_root + 'searchindex.js'; + script.onload = () => init(window.search); + document.head.appendChild(script); + }); + + // Exported functions + search.hasFocus = hasFocus; +})(window.search); diff --git a/searchindex.js b/searchindex.js new file mode 100644 index 0000000000..ce9861a603 --- /dev/null +++ b/searchindex.js @@ -0,0 +1 @@ +Object.assign(window.search, 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is a versatile zkVM built on the powdr stack, supporting std Rust, multiple proof systems, and zk-continuations for unbounded execution. Designed for flexibility, powdrVM enables efficient proof generation for complex applications with minimal setup.","breadcrumbs":"Introduction » Introduction","id":"0","title":"Introduction"},"1":{"body":"powdrVM is free and open source. You can find the source code on GitHub . Issues and feature requests can be posted on the GitHub issue tracker .","breadcrumbs":"Introduction » Contributing","id":"1","title":"Contributing"},"10":{"body":"You will need the Rust compiler and Cargo, the Rust package manager. The easiest way to install both is with rustup.rs . On Windows, you will also need a recent version of Visual Studio , installed with the \"Desktop Development With C++\" Workloads option. If you want to enable the estark-polygon feature, you also need the following runtime dependencies: gcc nlohmann-json3-dev You will also need the following build time dependencies: make pkg-config libpqxx-dev (Ubuntu) | libpqxx (Arch Linux) nasm","breadcrumbs":"Installation » Prerequisites","id":"10","title":"Prerequisites"},"100":{"body":"There are some types that are not proper built-in types (in the sense that they are not treated specially in the type system), but they are defined in the standard library and are referenced by built-in functions.","breadcrumbs":"pil » Built-in Functions » Types","id":"100","title":"Types"},"101":{"body":"The type Constr or more specifically, std::prelude::Constr is the type of a constraint. Expressions at statement level are required to evaluate either to Constr or Constr[]. It is defined as follows: enum Constr { /// A polynomial identity. Identity(expr, expr), /// A lookup constraint with selectors. Lookup((Option, Option), (expr, expr)[]), /// A permutation constraint with selectors. Permutation((Option, Option), (expr, expr)[]), /// A connection constraint (copy constraint). Connection((expr, expr)[])\n} The operator = can be applied on two expr values and results in a Constr::Identity. The type implements no traits and allows no operators.","breadcrumbs":"pil » Built-in Functions » Constr","id":"101","title":"Constr"},"102":{"body":"The following operators are supported by powdr-pil with their respective signatures. let +: T, T -> T\nlet -: T, T -> T\nlet -: T -> T let *: T, T -> T\nlet /: int, int -> int\nlet %: int, int -> int\nlet **: T, int -> T let <<: int, int -> int\nlet >>: int, int -> int\nlet &: int, int -> int\nlet |: int, int -> int\nlet ^: int, int -> int let <: T, T -> bool\nlet <=: T, T -> bool\nlet >: T, T -> bool\nlet >=: T, T -> bool let ==: T, T -> bool\nlet !=: T, T -> bool let =: expr, expr -> Constr\nlet ': expr -> expr let ||: bool, bool -> bool\nlet &&: bool, bool -> bool\nlet !: bool -> bool","breadcrumbs":"pil » Built-in Functions » Operators","id":"102","title":"Operators"},"103":{"body":"While any frontend VM can be implemented in powdr-asm, powdr comes with several frontends for popular instruction set architectures.","breadcrumbs":"Frontends » Frontends","id":"103","title":"Frontends"},"104":{"body":"A RISCV frontend for powdr is already available.","breadcrumbs":"Frontends » RISCV » RISCV","id":"104","title":"RISCV"},"105":{"body":"# Install the riscv target for the rust compiler\nrustup target add riscv32imac-unknown-none-elf\n# Run the powdr-rs compiler. It will generate files in ./output/\npowdr-rs compile riscv/tests/riscv_data/sum -o output\n# Run powdr to compile powdr-asm to powdr-PIL and generate the witness\n# -i specifies the prover witness input (see below)\npowdr pil output/sum.asm -o output -f -i 10,2,4,6 The example Rust code verifies that a supplied list of integers sums up to a specified value. #![no_main]\n#![no_std] extern crate alloc;\nuse alloc::vec::Vec; use powdr_riscv_runtime::io::read_u32; #[no_mangle]\npub fn main() { // This is the sum claimed by the prover. let proposed_sum = read_u32(0); // The number of integers we want to sum. let len = read_u32(1) as usize; // Read the numbers from the prover and store them // in a vector. let data: Vec<_> = (2..(len + 2)).map(|idx| read_u32(idx as u32)).collect(); // Compute the sum. let sum: u32 = data.iter().sum(); // Check that our sum matches the prover's. assert_eq!(sum, proposed_sum);\n} The function read_u32 reads a number from the list supplied with -i. This is just a first mechanism to provide access to the outside world. The plan is to be able to call arbitrary user-defined ffi functions that will translate to prover queries, and can then ask for e.g. the value of a storage slot at a certain address or the root hash of a Merkle tree.","breadcrumbs":"Frontends » RISCV » How to run the Rust-RISCV example","id":"105","title":"How to run the Rust-RISCV example"},"106":{"body":"ZK-continuations can be used to make proofs for unbounded execution traces of Rust programs, where the trace is split into many different chunks. A proof is computed for each chunk, and all proofs can be combined with recursion/aggregation until a single proof remains. For the details of how memory is handled in the ZK-continuations case please see this . powdr-rs has experimental support to ZK-continuations, which can be used as follows. Let's use as example test many chunks from the riscv crate: #![no_main]\n#![no_std] extern crate alloc;\nextern crate powdr_riscv_runtime;\nuse alloc::vec::Vec; #[no_mangle]\npub fn main() { let mut foo = Vec::new(); foo.push(1); for _ in 0..100 { foo.push(foo.iter().sum()); } // Compute some fibonacci numbers // -> Does not access memory but also does not get optimized out... let mut a = 1; let mut b = 1; for _ in 0..150000 { let tmp = a + b; a = b; b = tmp; } // Don't optimize me away :/ assert!(a > 0);\n} First we need to compile the Rust code to powdr-asm: powdr-rs compile riscv/tests/riscv_data/many_chunks Now we can use powdr's RISCV executor to estimate how many cycles are needed: powdr-rs execute many_chunks.asm ...\nExecution trace length: 750329 By default, powdr-RISCV uses chunks of length 2^18. That means we will need at least 3 chunks. For the continuations case, the compiled assembly code looks different because of the external memory commitments, so we need to recompile using the --continuations flag: powdr-rs compile riscv/tests/riscv_data/many_chunks --continuations We can now execute the program with continuations enabled: powdr-rs -- execute many_chunks.asm --continuations The output now is longer: Running chunk 0...\nBuilding bootloader inputs for chunk 0...\n26 unique memory accesses over 2 accessed pages: {31, 32}\nEstimating the shutdown routine to use 1362 rows.\nBootloader inputs length: 1285\nSimulating chunk execution...\nInitial memory root hash: 44cd91c12033ad4c6a6b19793b73f1a66d99a0e0bf63494c12ceb1f451ec9452\nFinal memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125\nChunk trace length: 260782\nValidating chunk...\nBootloader used 3134 rows. => 257648 / 262144 (98%) of rows are used for the actual computation!\nProved 257647 rows. Running chunk 1...\nBuilding bootloader inputs for chunk 1...\n0 unique memory accesses over 0 accessed pages: {}\nEstimating the shutdown routine to use 42 rows.\nBootloader inputs length: 83\nSimulating chunk execution...\nInitial memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125\nFinal memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125\nChunk trace length: 262102\nValidating chunk...\nBootloader used 62 rows. => 262040 / 262144 (99%) of rows are used for the actual computation!\nProved 262039 rows. Running chunk 2...\nBuilding bootloader inputs for chunk 2...\n2 unique memory accesses over 1 accessed pages: {31}\nEstimating the shutdown routine to use 702 rows.\nBootloader inputs length: 684\nSimulating chunk execution...\nInitial memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125\nFinal memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125\nChunk trace length: 232057\nValidating chunk...\nBootloader used 1610 rows. => 259832 / 262144 (99%) of rows are used for the actual computation!\nDone! The step above is informational, but for the proofs we also need the full witness: powdr-rs execute many_chunks.asm --witness The witnesses are written in ./chunk_0/commits.bin, ./chunk_1/commits.bin and ./chunk_2/commits.bin. Now that we have the witnesses for all chunks we can use powdr (instead of powdr-rs) to compute proofs for each chunk: powdr prove many_chunks.asm -d chunk_0 --backend estark-dump\npowdr prove many_chunks.asm -d chunk_1 --backend estark-dump\npowdr prove many_chunks.asm -d chunk_2 --backend estark-dump These proofs are mock proofs for the sake of the example, but any backend should work here. After generating real proofs, each specific proof system can be used for the recursion/aggregation parts. A follow-up tutorial on that is coming soon.","breadcrumbs":"Frontends » RISCV » zk-Continuations » RISCV and ZK-Continuations","id":"106","title":"RISCV and ZK-Continuations"},"107":{"body":"A Valida front end for powdr is under development. If you are interested, feel free to reach out !","breadcrumbs":"Frontends » Valida » Valida","id":"107","title":"Valida"},"108":{"body":"An EVM frontend for powdr is under development. If you are interested, feel free to reach out !","breadcrumbs":"Frontends » EVM » EVM","id":"108","title":"EVM"},"109":{"body":"powdr aims to have full flexibility when it comes to generating proofs and comes with a few built-in backends to get started with zkVMs.","breadcrumbs":"Backends » Backends","id":"109","title":"Backends"},"11":{"body":"Using a single Cargo command, enabling the Halo2 and Plonky3 backends: cargo install --git https://github.com/powdr-labs/powdr --features halo2,plonky3 powdr-cli With SIMD support for the provers that support it: RUSTFLAGS='-C target-cpu=native' cargo install --git https://github.com/powdr-labs/powdr --features halo2,plonky3,plonky3-simd powdr-cli Or, by manually building from a local copy of the powdr repository : # clone the repository\ngit clone https://github.com/powdr-labs/powdr.git\ncd powdr\n# install powdr-cli\ncargo install --features halo2,plonky3 --path ./cli\n# install powdr-cli with SIMD support (only for the crates that support it)\nRUSTFLAGS='-C target-cpu=native' cargo install --features halo2,plonky3,plonky3-simd --path ./cli","breadcrumbs":"Installation » Building powdr","id":"11","title":"Building powdr"},"110":{"body":"powdr partially supports plonky3 with the Goldilocks, BabyBear, KoalaBear, and Mersenne31 fields.","breadcrumbs":"Backends » plonky3 » Plonky3","id":"110","title":"Plonky3"},"111":{"body":"powdr supports the PSE fork of halo2 with the bn254 field.","breadcrumbs":"Backends » Halo2 » Halo2","id":"111","title":"Halo2"},"112":{"body":"powdr supports the eSTARK proof system with the Goldilocks field, implemented by the starky library from eigen-zkvm .","breadcrumbs":"Backends » eSTARK » eSTARK","id":"112","title":"eSTARK"},"113":{"body":"powdr applies a number of steps in order to reduce a powdr-asm program into PIL. We provide a high level overview of these steps. ┌────────────┐ ┌──────────┐ │ │ │ │ powdr-asm │ │ AIR graph │ │ PIL\n───────────►│ compiler ├───────────┤ linker ├──────► │ │ │ │ │ │ │ │ └────────────┘ └──────────┘","breadcrumbs":"Architecture » Architecture","id":"113","title":"Architecture"},"114":{"body":"In this section, we explain how the powdr compiler reduces a program made of virtual and constrained machines to a set of AIRs.","breadcrumbs":"Architecture » Compiler » Compiler","id":"114","title":"Compiler"},"115":{"body":"The first step is to reduce virtual machines to constrained machines. This step is run on all machines and does not affect constrained machines. As a result of this step, for each machine: Local instructions are reduced to constraints External instructions are reduced to links Functions are reduced to operations","breadcrumbs":"Architecture » Compiler » Virtual machine reduction","id":"115","title":"Virtual machine reduction"},"116":{"body":"Block enforcement applies on constrained machines. It makes sure that the operation_id is constant within each machine block.","breadcrumbs":"Architecture » Compiler » Block enforcement","id":"116","title":"Block enforcement"},"117":{"body":"At this point, all machines contain only: an optional degree range constraints links to other machines operations Let's define AIR as a data structure with only these elements. Starting from the main machine's type, we create a tree of AIR objects by traversing its submachines, recursively instantiating each machine as an AIR. Let's define the AIR tree as the resulting tree.","breadcrumbs":"Architecture » Compiler » AIR generation","id":"117","title":"AIR generation"},"118":{"body":"A linker is used to turn an AIR tree into a single PIL file. The linking process operates in the following way: Create an empty PIL file Start from the main AIR. Let main_degree_range be its degree. For each AIR Create a new namespace in the PIL file 2a. If degrees-mode is vadcop, set the namespace degree to that of the AIR 2b. If degrees-mode is monolithic, set the namespace degree to main_degree_range Add the constraints to the namespace Turn the links into lookups and permutations and add them to the namespace The result is a monolithic AIR where: each machine instance is a namespace each namespace defines its own degree range","breadcrumbs":"Architecture » Linker » Linker","id":"118","title":"Linker"},"12":{"body":"Using a single Cargo command: cargo install --git https://github.com/powdr-labs/powdr powdr-rs-cli Or, by manually building from a local copy of the powdr repository : # clone the repository\ngit clone https://github.com/powdr-labs/powdr.git\ncd powdr\n# install powdr-rs-cli\ncargo install --path ./cli-rs","breadcrumbs":"Installation » Building powdr-rs","id":"12","title":"Building powdr-rs"},"13":{"body":"Let's write a minimal VM and generate proofs! machine HelloWorld with degree: 8 { reg pc[@pc]; reg X[<=]; reg Y[<=]; reg A; instr incr X -> Y { Y = X + 1 } instr decr X -> Y { Y = X - 1 } instr assert_zero X { X = 0 } function main { // assign the first prover input to A A <=X= ${ std::prelude::Query::Input(0, 1) }; // increment A A <== incr(A); // decrement A A <== decr(A); // assert that A is zero assert_zero A; return; }\n} Let's go through different possible usages of powdr, starting with using the powdr CLI.","breadcrumbs":"Hello World » Hello World","id":"13","title":"Hello World"},"14":{"body":"Let's generate a proof of execution for the valid prover input 0 (since 0 + 1 - 1 == 0) powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 1 --prove-with halo2 We observe that several artifacts are created in the current directory: hello_world.pil: the compiled PIL file. hello_world_opt.pil: the optimized PIL file. hello_world_constants.bin: the computed fixed columns which only have to be computed once per PIL file. hello_world_commits.bin: the computed witness which needs to be computed for each proof. hello_world_proof.bin: the ZK proof! Note that the output directory can be specified with option -o|--output, and . is used by default. Now let's try for the invalid input 1: powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 2 --prove-with halo2 In this case witness generation fails, and no proof is created.","breadcrumbs":"Hello World » in the CLI » Hello World using the CLI","id":"14","title":"Hello World using the CLI"},"15":{"body":"The example above omits some important steps in proof generation: Setup and Verification key generation. Some proof systems such as Halo2 , require a Setup to be performed before the proof. Such Setup can be specific to the program or universal, where its artifact is a binary usually called parameters or params. STARKs do not require a Setup. Another step required before the proof is computed is key generation. A proving key and a verification key are generated taking into account the constraints and potentially Setup parameters. The proving key is used by the prover to generate the proof, and the verification key is used by the verifier to verify such a proof. A single verification key can be used to verify any number of different proofs for a given program. Therefore, when computing a proof, it is important that the Setup parameters and the verification key are available as artifacts. Below we reproduce the same proof as in the example above, keeping the artifacts needed for verification: First we run the Setup, where the number given must match the degree of our source file (degree 8). The command below generates file params.bin. powdr setup 8 --backend halo2 --field bn254 We can now compute the verification key, output in vkey.bin: powdr verification-key test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --params \"params.bin\" The command above can read previously generated constants from the directory specified via -d|--dir, where . is used by default. If the constants are not present it computes them before generating the verification key. The next command compiles and optimizes the given source, generating the file hello_world_opt.pil. It also computes both the fixed data and the witness needed for the proof, stored respectively in hello_world_constants.bin and hello_world_commits.bin. powdr pil test_data/asm/book/hello_world.asm --field bn254 --force --inputs 0 We can now generate the proof: powdr prove test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --params \"params.bin\" --vkey \"vkey.bin\" The proof can be verified by anyone via: powdr verify test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --vkey \"vkey.bin\" --params \"params.bin\" --proof \"hello_world_proof.bin\" Note that CLI proof verification works analogously for eSTARK, without the setup step and using the Goldilocks field instead of Bn254. Another aspect that was omitted in this example is the fact that this proof uses a Poseidon transcript and cannot be verified in a cheap way on Ethereum, even though we can verify it efficiently via powdr. There are two ways to enable verification on Ethereum: Use a different transcript when generating this proof. See section Hello World on Ethereum for the same example targeting EVM verification. Use proof aggregation to compress the proof using a circuit that can be verified on Ethereum. See section Hello World on Ethereum via proof aggregation to learn how to do that.","breadcrumbs":"Hello World » in the CLI » Setup & Verification","id":"15","title":"Setup & Verification"},"16":{"body":"Besides the CLI, powdr can also be used as a Rust library. The powdr crate exposes internal crates and data structures needed to compile code, generate witnesses, and compute proofs. Add powdr to your crate's dependencies: [dependencies]\npowdr = { git = \"https://github.com/powdr-labs/powdr\", branch = \"main\" } The following Rust code has the same workflow as our previous \"Hello World\" example. The full project can be found here , and as an example in the powdr crate. To run the example in the powdr repository , run: cargo run --example powdr_crate_usage You can also enable logs to know what is happening internally: RUST_LOG=info cargo run --example powdr_crate_usage use powdr_test::halo2_pipeline; fn main() { env_logger::init(); halo2_pipeline( \"test_data/asm/book/hello_world.asm\", vec![0.into()], vec![], 8, );\n} use powdr::backend::BackendType;\nuse powdr::number::buffered_write_file;\nuse powdr::Bn254Field;\nuse powdr::Pipeline; use std::path::Path; pub fn halo2_pipeline( pil: &str, prover_inputs: Vec, publics: Vec, setup_size: u64,\n) { // Straightforward case let _proof = Pipeline::::default() .from_file(pil.into()) .with_prover_inputs(prover_inputs.clone()) .with_backend(BackendType::Halo2, None) .compute_proof() .unwrap(); // Step-by-step case // First we create the universal setup of size 8 buffered_write_file(Path::new(\"params.bin\"), |writer| { BackendType::Halo2 .factory::() .generate_setup(setup_size, writer) .unwrap() }) .unwrap(); // Configure a pipeline let mut pipeline = Pipeline::::default() .from_file(pil.into()) .with_prover_inputs(prover_inputs) .with_backend(BackendType::Halo2, None) .with_setup_file(Some(\"params.bin\".into())); // Create the verification key buffered_write_file(Path::new(\"vkey.bin\"), |w| { pipeline.export_verification_key(w).unwrap() }) .unwrap(); // Add the verification key to a fresh pipeline and create a proof let mut pipeline_fresh = pipeline.clone().with_vkey_file(Some(\"vkey.bin\".into())); let proof = pipeline_fresh.compute_proof().unwrap(); // Create yet another fresh pipeline only for proof verification let mut pipeline = pipeline .with_backend(BackendType::Halo2, None) .with_setup_file(Some(\"params.bin\".into())) .with_vkey_file(Some(\"vkey.bin\".into())); // Verify a proof created by a different Pipeline pipeline.verify(proof, &[publics]).unwrap();\n}","breadcrumbs":"Hello World » as a library » Hello World using powdr as a library","id":"16","title":"Hello World using powdr as a library"},"17":{"body":"This example is a variation of the previous Hello World , targeting verification on Ethereum. In this example we will cover how to generate proofs directly using a Keccak transcript instead of the Poseidon transcript of the previous example, which will enable us to verify proofs onchain. There are almost no differences from the CLI perspective. Since the following command creates a proof, a Solidity verifier, and verifies the proof on the EVM, we need to have solc available in the system. One easy way to install it is by using svm . powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 0 --prove-with halo2 --backend-options \"snark_single\" -f --params params.bin The extra parameter --backend-options snark_single tells powdr to produce a single SNARK that uses Keccak. The option -f forces overwriting the compiled files that have been generated before, which is useful if you are running the examples in the same directory. When the proof is generated, it is verified on a simulated EVM transaction as well! Verifying SNARK in the EVM... We can observe again that a proof was created at hello_world_proof.bin. Now we can generate a Solidity verifier, using the same setup (params) as the previous example: powdr export-verifier test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"snark_single\" --params params.bin A Solidity file verifier.sol is generated. You can verify the same proof that we just generated by passing it to the contract together with the public inputs (which we have not used so far). Note that the more complex your VM is, the larger the verifier contract will be. In some cases, it might exceed Ethereum's contract size limit. You can mitigate that by using proof recursion on proofs that use Poseidon transcripts. See the next section for details .","breadcrumbs":"Hello World » verified on Ethereum » Hello World on Ethereum","id":"17","title":"Hello World on Ethereum"},"18":{"body":"As noted in the previous section, complex VMs can lead to large Solidity verifiers that exceed the contract size limit on Ethereum. One solution to that problem is to create proofs using the Poseidon transcript, as we did in the first example , and then use proof recursion to create a proof that we know we will be able to verify on Ethereum. A recursive SNARK works by generating a proof for a circuit that verifies another proof. The circuit we are using here to prove our initial proof recursively is PSE's snark-verifier . This circuit is large enough to be able to prove complex programs that were proven initial with the Poseidon transcript, like our first example. Because of that our aggregation setup params and verification key are going to be larger than before and take longer to compute. The good news are that (i) we can use a pre-computed setup from a previous ceremony, and (ii) the verification key only has to be computed once per program. First, we need a setup of \"size\" 2^22. This is the maximum execution trace length of the recursion circuit. You can generate it using the command line below, or download a pre-computed one here . This will take a couple minutes if you decide to compute it yourself: powdr setup 4194304 --backend halo2 --field bn254 We can re-use the new large params.bin for both initial and recursive proofs. Let's start by re-computing our Poseidon proof like in the first example , but using our new setup file: powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 0 --prove-with halo2 --backend-options \"poseidon\" -f --params params.bin This generates the initial proof hello_world_proof.bin. We'll also need a verification key: powdr verification-key test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"poseidon\" --params params.bin Let's verify the proof with our fresh verification key to make sure we're on the right track: powdr verify test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"poseidon\" --params params.bin --vkey vkey.bin --proof hello_world_proof.bin In order to avoid confusion between the application's artifacts that we've just generated and the recursion one we're going to generate later, let's rename them: mv vkey.bin vkey_app.bin\nmv hello_world_proof.bin hello_world_proof_app.bin We can now generate a verification key for the Halo2 circuit that verifies our proofs recursively. This might take up to a minute. powdr verification-key test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"snark_aggr\" --params params.bin --vkey-app vkey_app.bin Note that this verification key can only be used to verify recursive proofs that verify other proofs using the application's key vkey_app.bin. We can now generate the recursive proof (this typically takes a few minutes and uses around 28gb RAM): powdr prove test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"snark_aggr\" --params params.bin --vkey vkey.bin --vkey-app vkey_app.bin --proof hello_world_proof_app.bin We have a proof! Note that it contains two fields, proof and publics. The proof object contains the binary encoding of the proof points, and the publics object contains the public accumulator limbs that we need in order to verify the recursive proof. We can now verify the proof, using the publics object as input (your numbers will be different): powdr verify test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"snark_aggr\" --params params.bin --vkey vkey.bin --proof hello_world_proof_aggr.bin --publics \"269487626280642378794,9378970522278219882,62304027188881225691,811176493438944,234778270138968319485,3212529982775999134,171155758373806079356,207910400337448,188563849779606300850,155626297629081952942,194348356185923309508,433061951018270,34598221006207900280,283775241405787955338,79508596887913496910,354189825580534\" Since the goal of the recursive proof was to be able to verify it on Ethereum, let's do that! powdr export-verifier test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"snark_aggr\" --params params.bin --vkey vkey.bin A Solidity verifier is created in verifier.sol. The contract expects an array of the accumulators' limbs followed by a tightly packed proof, where each accumulator limb uses 32 bytes, and there is no function signature. Note that this verifier can be used to verify any recursive proof that verifies exactly one Poseidon proof of the given circuit.","breadcrumbs":"Hello World » verified on Ethereum with proof aggregation » Hello World on Ethereum with proof aggregation","id":"18","title":"Hello World on Ethereum with proof aggregation"},"19":{"body":"Besides the Hello World examples, you are encouraged to check out these more complex and real-world use cases: Ethereum state tests via powdr-RISCV + revm Brainfuck VM in 3 different implementations (powdr-asm interpreter, powdr-asm ISA, Rust interpreter + powdr-RISCV) Machine Learning zkVM Compiler","breadcrumbs":"Examples » Examples","id":"19","title":"Examples"},"2":{"body":"The powdr source and documentation are released under the MIT License .","breadcrumbs":"Introduction » License","id":"2","title":"License"},"20":{"body":"Public values are a small but important part of verifying ZK proofs. Often, the verifier is interested in inputs and/or outputs to a public function. In the toy example below, the prover can show that they know the square root of a public value that is published with the proof. You can also run this example directly in the powdr repository : cargo run --example sqrt_with_public You can also enable logs to know what is happening internally: RUST_LOG=info cargo run --example sqrt_with_public machine Square with degree: 8 { reg pc[@pc]; reg X[<=]; reg Y[<=]; reg A; // Expose the register value of A in the last time step public N = A(7); instr square X -> Y { Y = X * X } function main { A <=X= ${ std::prelude::Query::Input(0, 1) }; A <== square(A); }\n} This example uses a small VM with jump and a square instructions. The program reads the private input from the prover, squares it, and enters an infinite loop to ensure that all the remaining rows are filled with the result of A^2. Since the length of our execution trace is fixed and equals 8, we can tag the 8-th row of A (A[7]) as the publicly exposed number. Let's run all steps needed to generate and verify a proof that 32 = 9: Setup step: powdr setup 8 --backend halo2 --field bn254 Witness generation: powdr pil test_data/asm/sqrt_with_public.asm --field bn254 -i 3 Verification Key generation: powdr verification-key test_data/asm/sqrt_with_public.asm --field bn254 --backend halo2 --params params.bin Proof generation: powdr prove test_data/asm/sqrt_with_public.asm --field bn254 --backend halo2 --params params.bin --vkey vkey.bin Proof verification: powdr verify test_data/asm/sqrt_with_public.asm --field bn254 --backend halo2 --params params.bin --vkey vkey.bin --proof sqrt_with_public_proof.bin --publics 9","breadcrumbs":"Using publics » Using publics","id":"20","title":"Using publics"},"21":{"body":"This document contains the help content for the powdr command-line program. Command Overview: powdr↴ powdr pil↴ powdr prove↴ powdr verify↴ powdr verification-key↴ powdr export-verifier↴ powdr setup↴ powdr reformat↴ powdr optimize-pil↴ powdr test↴","breadcrumbs":"CLI » Command-Line Help for powdr","id":"21","title":"Command-Line Help for powdr"},"22":{"body":"powdr CLI to compile powdr-asm and powdr-pil programs Usage: powdr [OPTIONS] [COMMAND] Subcommands: pil — Runs compilation and witness generation for .pil and .asm files. First converts .asm files to .pil, if needed. Then converts the .pil file to json and generates fixed and witness column data files prove — verify — verification-key — export-verifier — setup — reformat — Parses and prints the PIL file on stdout optimize-pil — Optimizes the PIL file and outputs it on stdout test — Executes all functions starting with test_ in every module called test (or sub-module thereof) starting from the given module Options: --log-level — Set log filter value [ off, error, warn, info, debug, trace ] Default value: INFO","breadcrumbs":"CLI » powdr","id":"22","title":"powdr"},"23":{"body":"Runs compilation and witness generation for .pil and .asm files. First converts .asm files to .pil, if needed. Then converts the .pil file to json and generates fixed and witness column data files Usage: powdr pil [OPTIONS] Arguments: — Input file Options: --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 -o, --output-directory — Output directory for the PIL file, json file and fixed and witness column data Default value: . -w, --witness-values — Path to a CSV file containing externally computed witness values -i, --inputs — Comma-separated list of free inputs (numbers) Default value: `` -f, --force — Force overwriting of PIL output file Default value: false --pilo — Whether to output the pilo PIL object Default value: false -p, --prove-with — Generate a proof with a given backend Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite --params — File containing previously generated setup parameters --backend-options — Backend options. Halo2: \"poseidon\", \"snark_single\" or \"snark_aggr\". EStark and PilStarkCLI: \"stark_gl\", \"stark_bn\" or \"snark_bn\" --linker-mode — Linker mode, deciding how to reduce links to constraints Possible values: native, bus --degree-mode — Degree mode, deciding whether to use a single monolithic table or a set of dynamically sized tables --export-witness-csv — Generate a CSV file containing the witness column values Default value: false --export-all-columns-csv — Generate a CSV file containing all fixed and witness column values. Useful for debugging purposes Default value: false --csv-mode — How to render field elements in the csv file Default value: hex Possible values: i, ui, hex","breadcrumbs":"CLI » powdr pil","id":"23","title":"powdr pil"},"24":{"body":"Usage: powdr prove [OPTIONS] --backend Arguments: — Input PIL file Options: -d, --dir — Directory to find the committed and fixed values Default value: . --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 -b, --backend — Generate a proof with a given backend Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite --backend-options — Backend options. Halo2: \"poseidon\", \"snark_single\" or \"snark_aggr\". EStark and PilStarkCLI: \"stark_gl\", \"stark_bn\" or \"snark_bn\" --proof — File containing previously generated proof for aggregation --vkey — File containing previously generated verification key --vkey-app — File containing the verification key of a proof to be verified recursively --params — File containing previously generated setup parameters","breadcrumbs":"CLI » powdr prove","id":"24","title":"powdr prove"},"25":{"body":"Usage: powdr verify [OPTIONS] --backend --proof --vkey Arguments: — Input PIL file Options: -d, --dir — Directory to find the fixed values Default value: . --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 -b, --backend — Generate a proof with a given backend Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite --backend-options — Backend options. Halo2: \"poseidon\", \"snark_single\" or \"snark_aggr\". EStark and PilStarkCLI: \"stark_gl\", \"stark_bn\" or \"snark_bn\" --proof — File containing the proof --publics — Comma-separated list of public inputs (numbers) Default value: `` --vkey — File containing the verification key --params — File containing the params","breadcrumbs":"CLI » powdr verify","id":"25","title":"powdr verify"},"26":{"body":"Usage: powdr verification-key [OPTIONS] --backend Arguments: — Input PIL file Options: -d, --dir — Directory to find the fixed values Default value: . --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 -b, --backend — Chosen backend Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite --backend-options — Backend options. Halo2: \"poseidon\", \"snark_single\" or \"snark_aggr\". EStark and PilStarkCLI: \"stark_gl\", \"stark_bn\" or \"snark_bn\" --params — File containing previously generated setup parameters. This will be needed for SNARK verification keys but not for STARK --vkey-app — File containing the verification key of a proof to be verified recursively","breadcrumbs":"CLI » powdr verification-key","id":"26","title":"powdr verification-key"},"27":{"body":"Usage: powdr export-verifier [OPTIONS] --backend Arguments: — Input PIL file Options: -d, --dir — Directory to find the fixed values Default value: . --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 -b, --backend — Chosen backend Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite --backend-options — Backend options. Halo2: \"poseidon\", \"snark_single\" or \"snark_aggr\". EStark and PilStarkCLI: \"stark_gl\", \"stark_bn\" or \"snark_bn\" --params — File containing previously generated setup parameters. This will be needed for SNARK verification keys but not for STARK --vkey — File containing previously generated verification key","breadcrumbs":"CLI » powdr export-verifier","id":"27","title":"powdr export-verifier"},"28":{"body":"Usage: powdr setup [OPTIONS] --backend Arguments: — Size of the parameters Options: -d, --dir — Directory to output the generated parameters Default value: . --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 -b, --backend — Generate a proof with a given backend Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite","breadcrumbs":"CLI » powdr setup","id":"28","title":"powdr setup"},"29":{"body":"Parses and prints the PIL file on stdout Usage: powdr reformat Arguments: — Input file","breadcrumbs":"CLI » powdr reformat","id":"29","title":"powdr reformat"},"3":{"body":"The easiest way to start making ZK proofs with powdrVM is to install cargo-powdr: cargo install cargo-powdr cargo-powdr is used to create and manage powdrVM projects, similar to cargo itself.","breadcrumbs":"Installation » Installation","id":"3","title":"Installation"},"30":{"body":"Optimizes the PIL file and outputs it on stdout Usage: powdr optimize-pil [OPTIONS] Arguments: — Input file Options: --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254","breadcrumbs":"CLI » powdr optimize-pil","id":"30","title":"powdr optimize-pil"},"31":{"body":"Executes all functions starting with test_ in every module called test (or sub-module thereof) starting from the given module Usage: powdr test [OPTIONS] Arguments: — Input file Options: --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 This document was generated automatically by clap-markdown.","breadcrumbs":"CLI » powdr test","id":"31","title":"powdr test"},"32":{"body":"powdr-asm is the higher level of abstraction in powdr. It allows defining Instruction Set Architectures (ISA) using virtual and constrained machines.","breadcrumbs":"asm » asm","id":"32","title":"asm"},"33":{"body":"powdr exposes a module system to help organise and reuse code. use my_module::Other as LocalOther; // we can define a module at `./submodule.asm`\nmod submodule; // we can define a module at `./submodule_in_folder/mod.asm`\nmod submodule_in_folder; use submodule::Other as SubmoduleOther;\nuse submodule_in_folder::Other as FolderSubmoduleOther; let zero: int = 0; // we can also define modules inline\nmod utils { // Each module has a fresh symbol list. Every external symbol needs to be imported, // even from the parent module. use super::zero; let one = zero + 1;\n} machine Main with degree: 8 { // use a machine from another module by relative path my_module::Other a; // use a machine from another module using a local binding LocalOther b; // use a machine from another module defined in a different file SubmoduleOther c; // use a machine from another module defined in a different directory FolderSubmoduleOther d; reg pc[@pc]; instr nothing link => a.nothing(); instr also_nothing link => b.nothing(); instr still_nothing link => c.nothing(); instr nothing_again link => d.nothing(); function main { nothing; also_nothing; still_nothing; nothing_again; return; }\n} mod my_module { machine Other with degree: 8, latch: latch, operation_id: operation_id { operation nothing<0>; col fixed latch = [1]*; col fixed operation_id = [0]*; }\n} Note that a module can't be called std, as this name is reserved for the powdr standard library. Similar to Rust, any reference that cannot be resolved is looked up once more in std::prelude. This module exposes basic types and values such as Option, true and false. This means that you can use Option anywhere without prefix.","breadcrumbs":"asm » Modules » Modules","id":"33","title":"Modules"},"34":{"body":"Symbols can be defined via let = ;, or via let : = ; if you want to specify the type explicitly. The value is an arbitrary PIL-expression . For details, see the Declarations section in the PIL part. Other symbols available in the current module can be accessed by name, but it is also possible to specify full relative paths in the form of e.g. super::super::module_name::symbol. Here are some examples of how to define and use symbols: mod utils { // This defines a function by means of a lambda expression that // computes the sum of an array of values. We fully specify its type. let sum: int, int[] -> int = |len, arr| match len { 0 => 0, _ => arr[len - 1] + sum(len - 1, arr) }; // A simple function that returns the input incremented by one, // as an expression. let incremented: expr -> expr = |x| x + 1; // This is a function that takes an expression as input and returns // a constraint enforcing this expression increments by a certain value // between rows. // The type will be inferred here because `'` is only valid on `expr`. let constrain_incremented_by = |x, inc| x' = x + inc;\n} machine Main with degree: 4 { // Machines create local scopes in the way functions create local scopes: // - all symbols in the machine's module are available without prefix, // - new symbols can be defined but are only available inside the machine. reg A; reg pc[@pc]; // This defines a witness column, let x; // and now we force it to stay unchanged. utils::constrain_incremented_by(x, 0); // We define an instruction that uses a complicated way to increment a register. instr incr_a { A' = utils::incremented(A) } function main { incr_a; return; }\n}","breadcrumbs":"asm » Declarations » Declarations","id":"34","title":"Declarations"},"35":{"body":"Machines are the first main concept in powdr-asm. They can currently be of two types: virtual or constrained.","breadcrumbs":"asm » Machines » Machines","id":"35","title":"Machines"},"36":{"body":"Dynamic machines are defined by: a degree range , indicating the number of execution steps a set of registers , including a program counter an instruction set a set of powdr-pil statements a set of functions a set of submachines An example of a simple dynamic machine is the following: machine HelloWorld with degree: 8 { reg pc[@pc]; reg X[<=]; reg Y[<=]; reg A; instr incr X -> Y { Y = X + 1 } instr decr X -> Y { Y = X - 1 } instr assert_zero X { X = 0 } function main { // assign the first prover input to A A <=X= ${ std::prelude::Query::Input(0, 1) }; // increment A A <== incr(A); // decrement A A <== decr(A); // assert that A is zero assert_zero A; return; }\n}","breadcrumbs":"asm » Machines » Virtual machines","id":"36","title":"Virtual machines"},"37":{"body":"Constrained machines are a lower-level type of machine. They do not have registers, and instead rely on simple committed and fixed columns. They are used to implement hand-optimized computation. They are defined by: a degree range , indicating the number of execution steps a set of operations an operation_identifier column, used to make constraints conditional over which function is called. It can be omitted with _ if the machine has at most one operation. a latch column, used to identify rows at which the machine can be accessed from the outside (where the inputs and outputs are passed). It can be omitted if the machine has no operations. a set of submachines a set of links An example of a simple constrained machine is the following: machine SimpleStatic with degree: 8, latch: latch, operation_id: operation_id\n{ operation power_4<0> x -> y; col fixed operation_id = [0]*; col fixed latch = [0, 0, 0, 1]*; col witness x; col witness y; // initialise y to x at the beginning of each block latch * (y' - x') = 0; // x is unconstrained at the beginning of the block // x is constant within a block (1 - latch) * (x' - x) = 0; // y is multiplied by x at each row (1 - latch) * (y' - x * y) = 0;\n} For more details on the powdr-pil statements, check out the pil section of this book. Note that the parameters of the operation are columns defined in powdr-pil statements.","breadcrumbs":"asm » Machines » Constrained machines","id":"37","title":"Constrained machines"},"38":{"body":"Machines can have submachines which they access by defining external instructions or links . They are declared as follows: machine MySubmachine { ...\n} machine MyMachine { MySubmachine my_submachine;\n} Machines can also receive submachines as construction parameters. A machine passed in as an argument can be accessed in the same way as locally declared submachines: machine MachineWithParam(subm: MySubmachine) { // `subm` can be accessed as a submachine ...\n} machine MyMachine { MySubmachine my_submachine; // `my_submachine` is passed to `another_submachine` as a construction argument MachineWithParam another_submachine(my_submachine);\n}","breadcrumbs":"asm » Machines » Submachines","id":"38","title":"Submachines"},"39":{"body":"Registers are central to a machine. powdr supports a few types of registers:","breadcrumbs":"asm » Registers » Registers","id":"39","title":"Registers"},"4":{"body":"You will need the Rust compiler and Cargo, the Rust package manager. The easiest way to install both is with rustup.rs .","breadcrumbs":"Installation » Prerequisites","id":"4","title":"Prerequisites"},"40":{"body":"Each machine can have at most one program counter. In the absence of a program counter, the machine is considered static, and no other register can be declared. The program counter is defined as follows: reg pc[@pc] At each step execution step, the program counter points to the function line to execute. The program counter behaves like a write register , with the exception that its value is incremented by default after each step.","breadcrumbs":"asm » Registers » Program counter","id":"40","title":"Program counter"},"41":{"body":"Write registers are the default type for registers. They are declared as follows: reg A; They hold a field element, are initialized as 0 at the beginning of a function and keep their value by default. They can be read from and written to. // write to A\nA <=X= 1;\n// A is 1 // read from A\nB <=X= A;\n// A is still 1","breadcrumbs":"asm » Registers » Write registers","id":"41","title":"Write registers"},"42":{"body":"Assignment registers are transient to an execution step: their value is not persisted across steps. They are required in order to pass inputs and receive outputs from instructions, as well as in assignments. For example, if we want to assert that write register A is 0, we can use the following instruction: reg pc[@pc];\nreg A; instr assert_A_is_zero { A = 0\n} function main { assert_A_is_zero; return;\n} However, if we want the instruction to accept any write register as input, we use an assignment register. reg pc[@pc];\nreg X[<=];\nreg A; instr assert_zero X { X = 0\n} function main { assert_zero A; return;\n}","breadcrumbs":"asm » Registers » Assignment registers","id":"42","title":"Assignment registers"},"43":{"body":"Read-only registers are used for function inputs. However, powdr creates them automatically based on functions arguments, so that they do not need to be declared explicitly. Read-only registers are only mentioned for completeness here and are currently only used inside the compiler. We advise against using them.","breadcrumbs":"asm » Registers » Read-only registers","id":"43","title":"Read-only registers"},"44":{"body":"Functions are the entry points to a virtual machine. They can be called from another machine or from the outside. In this section, we describe functions with this simple virtual machine: machine Machine with degree: 16 { reg pc[@pc]; reg X[<=]; reg Y[<=]; reg Z[<=]; reg CNT; reg A; reg B; // an instruction to assert that a number is zero instr assert_zero X { X = 0 } // an instruction to jump to a label instr jmp l: label { pc' = l } // an instruction to jump to a label iff `X` is `0`, otherwise continue instr jmpz X, l: label { pc' = XIsZero * l + (1 - XIsZero) * (pc + 1) } // an instruction to return the square of an input as well as its double instr square_and_double X -> Y, Z { Y = X * X, Z = 2 * X } function main { // initialise `A` to 2 A <=X= 2; // initialise `CNT` to `3` CNT <=X= 3; start: // if `CNT` is `0`, jump to `end` jmpz CNT, end; // decrement `CNT` CNT <=X= CNT - 1; // get the square and the double of `A` A, B <== square_and_double(A); // jump back to `start` jmp start; end: // check that `A == ((2**2)**2)**2` assert_zero A - ((2**2)**2)**2; // check that `B == ((2**2)**2)*2` assert_zero B - ((2**2)**2)*2; return; } // some superpowers on `X` to allow us to check if it's 0 col witness XInv; col witness XIsZero; XIsZero = 1 - X * XInv; XIsZero * X = 0; XIsZero * (1 - XIsZero) = 0;\n}","breadcrumbs":"asm » Functions » Functions","id":"44","title":"Functions"},"45":{"body":"Function inputs and outputs are not supported yet","breadcrumbs":"asm » Functions » Function inputs and outputs","id":"45","title":"Function inputs and outputs"},"46":{"body":"","breadcrumbs":"asm » Functions » Statements","id":"46","title":"Statements"},"47":{"body":"Labels allow referring to a location in a function by name. start:","breadcrumbs":"asm » Functions » Labels","id":"47","title":"Labels"},"48":{"body":"Assignments allow setting the values of some write registers to the values of some expressions expression using assignment registers. CNT <=X= 3; If the right-hand side of the assignment is an instruction, assignment registers can be inferred and are optional: A, B <== square_and_double(A); This will be inferred to be the same as A, B <=Y, Z= square_and_double(A); from the definition of the instruction: instr square_and_double X -> Y, Z { Y = X * X, Z = 2 * X }","breadcrumbs":"asm » Functions » Assignments","id":"48","title":"Assignments"},"49":{"body":"Instructions which do not return outputs can be used as statements. assert_zero A - ((2**2)**2)**2;","breadcrumbs":"asm » Functions » Instructions","id":"49","title":"Instructions"},"5":{"body":"First, create a new powdrVM project with cargo-powdr new my-host Your new crate my-host is the host of the virtual machine's execution, and is responsible for preparing data and running the prover. The guest crate in your new project contains the Rust code whose execution will be proven. Most of these details are abstracted by the powdr library. Now that your project is set up, just run cargo run -r The host manages a powdr::Session which can be used to share data with the guest, test the execution, and generate ZK proofs. use powdr::Session; fn main() { env_logger::init(); let some_data = vec![1, 2, 3, 4, 5]; // Create a new powdr session to make proofs for the `guest` crate. // Store all temporary and final artifacts in `powdr-target`. let mut session = Session::builder() .guest_path(\"./guest\") .out_path(\"powdr-target\") // powdrVM splits long execution traces into chunks // which are proven individually. // The default size of a chunk is 2^20 = 1048576 rows. // For experiments and smaller traces/proofs, it may be beneficial to reduce the chunk size. // Create a new powdr session with a custom chunk size. // 2^18 = 262144 rows per chunk. .chunk_size_log2(18) .build() // Write `some_data` to channel 1 and the sum of `some_data` to channel 2. // Any serde-serializable type can be written to a channel. .write(1, &some_data) .write(2, &some_data.iter().sum::()); // Fast dry run to test execution. session.run(); // Uncomment to compute the proof. //session.prove();\n} The guest contains the custom logic that should be proved. use powdr_riscv_runtime;\nuse powdr_riscv_runtime::io::read; fn main() { // Any serde-deserializable type can be read from a channel. // Read some data from channel 1. let data: Vec = read(1); // Read the claimed sum from channel 2. let sum: u32 = read(2); // Check that the claimed sum is correct. assert_eq!(data.iter().sum::(), sum);\n}","breadcrumbs":"Quick Start » Quick Start","id":"5","title":"Quick Start"},"50":{"body":"","breadcrumbs":"asm » Expressions » Expressions","id":"50","title":"Expressions"},"51":{"body":"Field element literals are signed elements of the prime field. CNT <=X= 3;","breadcrumbs":"asm » Expressions » Field element literals","id":"51","title":"Field element literals"},"52":{"body":"Registers can be used as expressions, with the exception of assignment registers. CNT <=X= CNT - 1;","breadcrumbs":"asm » Expressions » Registers and columns","id":"52","title":"Registers and columns"},"53":{"body":"Instructions which return outputs can be used as expressions. A, B <== square_and_double(A);","breadcrumbs":"asm » Expressions » Instructions","id":"53","title":"Instructions"},"54":{"body":"Instructions are declared as part of a powdr virtual machine. Once defined, they can be called by any function in this machine. An instruction is composed of: a name a set of inputs ( assignment registers or labels) a set of outputs (assignment registers) a set of powdr-pil constraints to activate when the instruction is called a set of links calling into functions/operations in submachines","breadcrumbs":"asm » Instructions » Instructions","id":"54","title":"Instructions"},"55":{"body":"A local instruction is the simplest type of instruction. It is called local because its behavior is defined by a set of constraints over registers and columns of the machine it is defined in. instr add X, Y -> Z { X + Y = Z\n}","breadcrumbs":"asm » Instructions » Local instructions","id":"55","title":"Local instructions"},"56":{"body":"Instructions may also delegate all or part of their implementation to functions/operations in submachines. Each link in an instruction defines the inputs and outputs of a call to a specific function/operation in a submachine. Assume we have a submachine with a single operation add: machine SubMachine with degree: 32, latch: latch, operation_id: operation_id\n{ col witness operation_id; col fixed latch = [1]*; operation add<0> x, y -> z; col witness x; col witness y; col witness z; z = y + x;\n} An instruction calling into this operation can be declared as follows: SubMachine submachine; instr add X, Y -> Z link => Z = submachine.add(X, Y); // - trivial usage: only instruction inputs/outputs used in the call In the previous example, only assignment registers (instruction inputs and outputs) were used to call the submachine. The following example shows more complex usage of link calls: machine Main with degree: 32 { reg pc[@pc]; reg X[<=]; reg Y[<=]; reg Z[<=]; reg A; reg B; reg C; SubMachine submachine; instr add X, Y -> Z link => Z = submachine.add(X, Y); // - trivial usage: only instruction inputs/outputs used in the call instr add_to_A X, Y link => A' = submachine.add(X, Y);// - output to a regular register instr addAB -> X link => X = submachine.add(A, B); // - inputs from regular registers instr addAB_to_C link => C' = submachine.add(A, B); // - inputs and output from regular registers instr addAB_to_A link => A' = submachine.add(A, B); // - reusing an input register as output instr sub X, Y -> Z link => X = submachine.add(Y, Z); // - swapping input/output // expressions can also be used as call parameters instr add5 X -> Z link => Z = submachine.add(X, 3+2); // - literal expression as argument col fixed STEP(i) { i }; instr add_current_time_step X -> Z link => Z = submachine.add(X, STEP);// - machine columns can be referenced let arr = [1,2,3,4,5]; // - functions can be used instr add_arr_sum X -> Z link => Z = submachine.add(X, std::array::sum(arr)); instr assert_eq X, Y { X = Y } function main { A <== add(2, 3); assert_eq A, 5; add_to_A 6, 7; assert_eq A, 13; A <== sub(6, 5); assert_eq A, 1; B <=X= 20; C <== addAB(); assert_eq C, 21; A <=X= 2; B <=X= 3; addAB_to_C; assert_eq C, 5; A <=X= 33; B <=X= 44; addAB_to_A; assert_eq A, 77; A <== add5(2); assert_eq A, 7; A <== add_arr_sum(3); assert_eq A, 18; // Note that the result of this operation depends on when it executed (STEP column) A <== add_current_time_step(42); B <== add_current_time_step(42); assert_eq B - A, 1; return; }\n} A single instruction can activate multiple links, and may also include a set of constraints. Furthermore, each link can be activated conditionally, based on a given boolean flag: machine Main with degree: 16 { reg pc[@pc]; reg X[<=]; reg Y[<=]; reg Z[<=]; reg W[<=]; reg A; col witness B; col witness C; SubMachine submachine; // multiple links can be activated by a single instruction, // witness columns can be used for temporary values, // and additional constraints can be used instr double_then_mul X, Y -> Z link => B = submachine.add(X, X) link => C = submachine.add(Y, Y) { Z = B * C } // links activated conditional on a boolean flag instr add_or_sub W, X, Y -> Z link if W => Z = submachine.add(X, Y) link if (1 - W) => Z = submachine.sub(X, Y); instr assert_eq X, Y { X = Y } function main { A <== double_then_mul(3, 2); assert_eq A, 24; A <== add_or_sub(1, 3, 2); assert_eq A, 5; A <== add_or_sub(0, 3, 2); assert_eq A, 1; return; }\n} Note that links cannot currently call functions from the same machine: they delegate computation to a submachine.","breadcrumbs":"asm » Instructions » Instructions with links","id":"56","title":"Instructions with links"},"57":{"body":"Operations enable a constrained machine to expose behavior to the outside. If a machine has a single operation, it can simply be declared with its name and parameters: machine Add with degree: 32, latch: latch\n{ // operation name, with column names as inputs and outputs operation add a, b -> c; col fixed latch = [1]*; col witness a; col witness b; col witness c; // constraint \"implementing\" the operation c = a + b;\n} The parameters of the operation (inputs and outputs) must be columns declared in the machine. If a machine exposes more than one operation, the machine itself needs an operation id column (op_id in the following). Then, each operation needs to be declared with its own unique operation id: // machine declaration must include an operation id column name\nmachine AddSub with degree: 32, latch: latch, operation_id: op_id\n{ // each operation has its own unique operation id operation add<0> a, b -> c; operation sub<1> a, b -> c; col fixed latch = [1]*; // it also needs to be declared as a column col witness op_id; col witness a; col witness b; col witness c; // constraint \"implementing\" both operations, depending on `op_id` c = (1 - op_id) * (a + b) + op_id * (a - b);\n} The actual behavior of an operation is defined by the machine constraints on the columns used as inputs and outputs.","breadcrumbs":"asm » Operations » Operations","id":"57","title":"Operations"},"58":{"body":"Links enable a constrained machine to call into another machine. They are defined by a call to an operation, where inputs and outputs are expressions. An optional boolean flag restricts the rows in which the link is active. Links without a boolean flag are active in every row. machine Add4 with degree: 32, latch: latch, operation_id: operation_id\n{ Add adder; operation add4<0> x, y, z, w -> r; // Links without a flag are active on every row. // - constrain the values of `x`, `y`, and `n` so that `n = adder.add(x, y)` link => n = adder.add(x, y); // - constrain the values of `z`, `w`, and `m` so that `m = adder.add(z, w)` link => m = adder.add(z, w); // - constrain the values of `m`, `n` and `r` so that `r = adder.add(m,n)` link => r = adder.add(m, n); col fixed operation_id = [0]*; col fixed latch = [1]*; col witness x; col witness y; col witness z; col witness w; col witness r; col witness m; col witness n;\n} machine Add with degree: 32, latch: latch\n{ // operation name, with column names as inputs and outputs operation add a, b -> c; col fixed latch = [1]*; col witness a; col witness b; col witness c; // constraint \"implementing\" the operation c = a + b;\n} If a boolean flag is given, the link is only active in rows where the flag evaluates to 1. Whenever a link is active, the columns mapped as inputs and outputs are constrained by the operation implementation. The following example demonstrates how to use links with flags. col fixed odd_row = [0,1]*; link if odd_row => z = submachine.foo(x, y); // active on odd rows only\nlink if (1 - odd_row) => z = submachine.bar(x, y); // active on even rows only","breadcrumbs":"asm » Links » Links","id":"58","title":"Links"},"59":{"body":"powdr-pil is the lower level of abstraction in powdr. It is strongly inspired by Polygon zkEVM PIL . We refer to the Polygon zkEVM PIL documentation and document deviations from the original design here.","breadcrumbs":"pil » PIL","id":"59","title":"PIL"},"6":{"body":"powdr is a modular compiler stack to build zkVMs. It is ideal for implementing existing VMs and experimenting with new designs with minimal boilerplate. Domain specific languages are used to specify the VM and its underlying constraints, not low level Rust code Automated witness generation Support for multiple provers as well as aggregation schemes Support for hand-optimized co-processors when performance is critical Built in Rust 🦀","breadcrumbs":"Introduction » Introduction","id":"6","title":"Introduction"},"60":{"body":"Powdr-pil allows the same syntax to declare various kinds of symbols. This includes constants, fixed columns, witness columns and even higher-order functions. It deduces the symbol kind from the type of the symbol and the way the symbol is used. Symbols can be declared using let ; and they can be declared and defined using let = ;, where is an expression. The type of the symbol can be explicitly specified using let : ; and let : = ;. Symbols with a generic type can be defined using let : = ;, where the TV are newly created type variables that can be used in the type. This syntax can be used for constants, fixed columns, witness columns and even (higher-order) functions that can transform expressions. The kind of symbol is deduced by its type and whether it is has a value: Symbols without a value are witness columns or arrays of witness columns. Their type can be omitted. If it is given, it must be col or col[k]. Symbols defined with a value and type col (or col[k]) are fixed columns (or arrays of fixed columns). Symbols defined with a value and type inter (or inter[k]) are intermediate columns (or arrays of intermediate columns). Everything else is a \"generic symbol\" that is not a column. Examples: // This defines a integer constant. We can omit the type when it is used // somewhere that constrains its type. Since it is not used below, // we have to specify `: int` (another option would be `fe`, field element). let rows: int = 16; // This defines a fixed column that contains the row number in each row. // Only symbols whose type is \"col\" are considered fixed columns. let step: col = |i| i; // Here, we have a witness column, the do not need an explicit `: col`. let x; // This functions defines a fixed column where each cell contains the // square of its row number. let square: col = |x| x*x; // This is a generic function that computes the sum of an array // given its length. // It is not stored as a column. // If it is used in a constraint, it has to be evaulated, while // columns must be used symbolically. let sum: T[], int -> T = |a, len| match len { 0 => 0, _ => sum(a, len - 1) + a[len - 1], }; // This is a constraint that uses the `sum` function: sum([x, step], 2) = 0; Name lookup is performed as follows: Lookup is performed starting from the current namespace, going up to the root component by component where the first match is used. If all lookups fail, a last attempt is done inside the std::prelude namespace.","breadcrumbs":"pil » Declarations » Declarations","id":"60","title":"Declarations"},"61":{"body":"Depending on the context, powdr allows more or less features for expressions. Inside values for declarations, you can use a very flexible language which includes many different operators, function calls, lambda functions, tuple types, statement blocks, match statements and others. In statements and expressions that are required to evaluate to constraints / polynomial identities, only a much more restrictive language can be used. Expressions in that language are called Algebraic Expressions. While you can use the full language everywhere, in the context of a constraint, the result after function evaluation and constant propagation has to be an algebraic expression.","breadcrumbs":"pil » Expressions » Expressions","id":"61","title":"Expressions"},"62":{"body":"The expression language allows the following operators, in order of increased precedence: lambda functions: |params| body. Examples: |i| i (the identity), |a, b| a + b (sum) || - logical or && - logical and <, <=, ==, !=, >=, > - comparisons and = - identity operator | - bitwise or ^ - bitwise xor & - bitwise and <<, >> - left and right shift +, - - addition and subtraction (binary operator) *, /, % - multiplication, division and modulo ** - exponentiation -, ! - numerical and logical negation (unary operators, prefix) ' - \"next row\" operator (suffix) [], () - array index access and function calls Elementary expressions are number literals (integers) string literals, written in double quotes, e.g. \"hello\" array literals written in square brackets, e.g. [1, 2, 3] tuples, having at least two elements, e.g. (1, \"abc\") statement blocks (see below) match expressions (see below). if expressions (see below). Parentheses are allowed at any point to force precedence.","breadcrumbs":"pil » Expressions » Generic Expressions","id":"62","title":"Generic Expressions"},"63":{"body":"The only way to declare a function in pil is by assigning a lambda function to a symbol. Example: let x = |i| i + 1; If you want to specify the types of parameters or return values explicitly, you have to do it on the symbol, you cannot do it on the parameters: let x: int -> int = |i| i + 1; It is possible to use patterns in the function parameters: let y: (int, int), int -> int = |(i, j), _| i + j; If you use patterns, they have to be irrefutable, which means that the pattern has to be able to match any value of the given type.","breadcrumbs":"pil » Expressions » Lambda Functions","id":"63","title":"Lambda Functions"},"64":{"body":"A {-}-delimited block can be used everywhere where an expression is expected. It has the form { ; ; ... ; }, i.e. a sequence of statements followed by an expression. The statements can either be expressions (f();, only inside constr-functions ) or let statements: let x = ...; / let x; The value of the statement block is the value of the final expression. Example: let plus_one_squared = |x| { let y = x + 1; y * y }; Let statements with value can be used everywhere, they just bind an expression to a local variable and allow to avoid repeating the expression. You can use patterns for the left hand side of let statements to destructure values. Example: let f = |i| (i / 2, i % 2);\nlet (quot, rem) = f(7); The second let statement will create two local variables x and y. You can also ignore values using the _ pattern element. For details, please see the patterns section. Let statements without value (let x;) create a new witness column and are only allowed inside constr-functions . Similarly, an expression at statement level (e.g. x * (x - 1) = 0;) can be used to create new constraints that are added to the global constraint set and this can only be done inside a constr-functions . Note that you can always create constraints and return them from a function, even in pure function . Example: let constrain_to_bool: expr -> Constr = |x| x * (x - 1) = 0;","breadcrumbs":"pil » Expressions » Statement Blocks","id":"64","title":"Statement Blocks"},"65":{"body":"Match expressions take the form match { => , => , _ => }, with an arbitrary number of match arms. The semantics are that the first match arm where the pattern equals the value after the match keyword is evaluated. Patterns can be used to destructure more complex data types and to capture values inside new local variables. For more details, please see the patterns section. Example: let fib = |i| match i { 0 => 1, 1 => 1, _ => fib(i - 2) + fib(i - 1),\n};","breadcrumbs":"pil » Expressions » Match Expressions","id":"65","title":"Match Expressions"},"66":{"body":"If expressions take the form if { } else { }, where the \"else\" part is not optional. If the condition evaluates to true, then is evaluated, otherwise is. Example: let is_seven = |i| if i == 7 { 1 } else { 0 };","breadcrumbs":"pil » Expressions » If Expressions","id":"66","title":"If Expressions"},"67":{"body":"For constraints (or functions called at a place where a constraint is expected), the expression syntax is limited: After evaluating function calls and performing constant propagation, the resulting expression has to be an \"algebraic expression\". These are restricted in the following way: You can freely use the operators +, -,*. The operator ** must have a number as exponent. The operator [i] must have a column name on the left-hand side and the index must be a number. The operator ' must have a column or [i] on the left-hand-side. No other operators are allowed. Arbitrary parentheses are allowed. The following example illustrates how you can still use the generic language: namespace Main(16); // Returns folder(...folder(folder(0, f(0)), f(1)) ..., f(length - 1)) // This is a generic function. let fold: int, (int -> T1), T2, (T2, T1 -> T2) -> T2 = |length, f, initial, folder| match length { 0 => initial, _ => folder(fold(length - 1, f, initial, folder), f(length - 1)) }; // returns f(0) + f(1) + ... + f(length - 1) let sum = |length, f| fold(length, f, 0, |acc, e| acc + e); // This function takes an algebraic expression (a column or expression // involving columns) and returns an identity that forces this expression // to equal 20. Note that `=` is not an assignment but creates an identity constraint. let equals_twenty: expr -> Constr = |x| x = 20; // This declares an array of 16 witness columns. col witness wit[16]; // This expression has to evaluate to an identity, but we can still use // higher order functions and all the flexibility of the language. // The sub-expression `sum(16, |i| wit[i])` evaluates to the algebraic // expression \"wit[0] + wit[1] + ... + wit[15]\", which is then // turned into the identity by `equals_twenty` // wit[0] + wit[1] + ... + wit[15] = 20. equals_twenty(sum(16, |i| wit[i])); // We constrained the sum to equal twenty, but there is no unique solution // to that constraint. In order to fully constrain the system, we need to // add something more: The first fifteen columns should all be one. // returns [f(0), f(1), ..., f(length - 1)] let make_array = |length, f| fold(length, f, [], |acc, e| acc + [e]); // If an expression evaluates to an array of constraints, all the // constraints in the array are added to the system. make_array(15, |i| wit[i] = 1);","breadcrumbs":"pil » Expressions » Algebraic Expressions","id":"67","title":"Algebraic Expressions"},"68":{"body":"Every function in PIL is either a pure, a constr or a query function. They are denoted by |...| ... constr |...| ... query |...| ... Inside constr functions, it is possible to create new witness columns and add constraints to the set of constraints (see the Statement Blocks section for details). Inside query functions, it is possible to evaluate the value of a column on the \"current\" row using the std::prover::eval function. Both actions require a certain context to be available, which is not the case for example when the values of a fixed column are computed. A query function can only be used in the query or hint part of a witness column while constr functions can only be evaluated in the constraint part of a namespace or machine. You can define and call new constr functions inside a constr function and you can call and define new query functions inside query functions, but as soon as you enter a pure function, this is not possible any more. Examples: // This function creates and returns a new witness column.\nlet new_wit = constr || { let x; x };\n// Queries the current value of a column and returns its square.\nlet square_of = query |x| { let v = std::prover::eval(x); v * v };\n// Creates a new witness column, constrains it to be boolean and returns it.\nlet new_bool = constr |x| { let x = new_wit(); x * (x - 1) = 0; x };\n// This is a pure function that only returns a constraint, but does not add it\n// to the global set of constraints.\nlet bool_constraint: expr -> Constr = |x| x * (x - 1) = 0;","breadcrumbs":"pil » Expressions » Constr and Query Functions","id":"68","title":"Constr and Query Functions"},"69":{"body":"Patterns are a way to destructure or match certain values. They are valid in match arms, function parameters or left hand sides of let statements in blocks. A pattern is built up in from the following components: _ - the \"catch all\" pattern that matches anything x - for an identifier x, matches anything and assigns the value to the new local variable of that name k - for a literal number k, matches the exact number, either as an int or a fe -k - for a literal number k, matches the exact negated number, either as an int or a fe \"text\" - for a string literal, matches the exact string literal as a string (a, b, c) - for a tuple, matches a tuple-typed value if all the components match [a, b, c] - for an array, matches array values of exactly the same length if all the components match [a, .., b, c] - matches an array that has an initial segment of a and ends in b, c. The omitted part can be empty. X::Y(a, b) - for an enum variant X::Y, matches that enum variant if all the enum fields match. Patterns can be nested, which means that the components of tuple and array patterns are themselves patterns. Some examples: // This pattern de-structures the first function parameter.\nlet f: (int, int), int -> int = |(a, b), c| (a + c, b);\n// Matches a tuple, ignores the second component.\nlet (x, _) = f((6, 7), 3);\n// The match statement typically uses patterns to check for certain values\n// but it can also destructure and create new local variables valid inside\n// the match arm.\nlet t = match (x, f((1, x), 2)) { (0, _) => 0, (1, _) => 7, (_, y) => y, _ => 9\n};\nlet head: int[] -> int = |x| match x { // Matches the first element of a non-empty array and binds it to a local variable. [a, ..] => a, [] => std::check::panic(\"Called 'head' on empty array.\"),\n}; Note that PIL does not check that patterns in a match expression are exhaustive.","breadcrumbs":"pil » Patterns » Patterns","id":"69","title":"Patterns"},"7":{"body":"powdr is free and open source. You can find the source code on GitHub . Issues and feature requests can be posted on the GitHub issue tracker .","breadcrumbs":"Introduction » Contributing","id":"7","title":"Contributing"},"70":{"body":"A pattern is refutable if there is a value of the correct type that the pattern does not match. An example is the pattern 7 since it does not match all integers, or the patten [x, ..], because it does not match the empty array. Refutable patterns are fine in match arms, because if the pattern does not match, the evaluator will just continue trying the next match arm, but they are disallowed in let statements and in function parameters, because there we do not have the option of \"trying the next arm\". Example: let f: int -> int[] = |i| match i { // This is a refutable pattern, but it is fine // because we will try the next match arm. 0 => [], _ => f(i - 1) + [i],\n};\n// This pattern does not match all `int[]`, because it requires a length\n// of at least one.\nlet [x, ..] = f(8); The following patterns are refutable: all integer literal patterns all string literal patterns enum variant patterns tuple patterns that have refutable components array patterns that are not [..]. Variable patterns and _ are always irrefutable.","breadcrumbs":"pil » Patterns » (Ir-)refutability","id":"70","title":"(Ir-)refutability"},"71":{"body":"The powdr-pil language has the following types: bool int (integer) fe (field element) string tuple array function type expr (expression) ! (\"bottom\" or \"unreachable\" type) enum types In addition, there are the col and inter types, but they are special in that they are only used for declaring columns, but cannot appear as the type of an expression. See Declaring and Referencing Columns for details. Powdr-pil performs Hindley-Milner type inference. This means that, similar to Rust, the type of a symbol does not always have to be specified. The compiler will try to find a type for every symbol depending both on the value assigned to the symbol and on the context the symbol is used in. It is an error if the type is not uniquely determined. Symbols can have a generic type, but in those cases, you have to explicitly specify the generic type. Such declarations can require type variables to satisfy certain trait bounds. Currently, only built-in traits are supported (see the next section). Literal numbers do not have a specific type, they can be either int, fe or expr (the types that implement the FromLiteral trait), and their type can also stay generic until evaluation.","breadcrumbs":"pil » Types » Types","id":"71","title":"Types"},"72":{"body":"The following snippet defines a function that takes a value of a generic type and returns the value incremented by one. The type bounds on the generic type are FromLiteral and Add. The type checker will complain if we do not specify the type bounds. The bound Add is required because we use the + operator in the function and FromLiteral is needed because we use the literal 1 as a value of that type. let add_one: T -> T = |i| i + 1;","breadcrumbs":"pil » Types » Example","id":"72","title":"Example"},"73":{"body":"A symbol declared to have type col or inter (or col[k] / inter[k]) is a bit special: These symbols represent columns in the arithmetization and the types of values that can be assigned to such symbols and the references to the symbols are different from their declared type. If you assign a value to a col symbol, that value is expected to have type int -> fe or int -> int (or an array thereof). This allows the simple declaration of a fixed column let byte: col = |i| i & 0xff; without complicated conversions. The integer value is converted to a field element during evaluation, but it has to be non-negative and less than the field modulus. Symbols of declared type col are fixed (those with value) or witness columns (those without value). A symbol of declared type inter is an intermediate column. You can assign it a value of type expr. The idea of an intermediate column is that it is an algebraic expression of other columns that you do not want to compute multiple times. Note that if you use let x: expr = a * b;, the symbol x is just a name in the PIL environment, this will not create an intermediate column. The difference between inter and expr in this case is that if you use let x: inter = ..., the expression might not be inlined into constraints (depending on the backend), while if you use let x: expr = ..., it will always be inlined. If you reference a symbol of declared type inter or col, the type of the reference is expr (or expr[]). A byte constraint is as easy as [ X ] in [ byte ], since the expected types in plookup columns is expr. The downside is that you cannot evaluate columns as functions. If you want to do that, you either have to assign a copy to an int -> int symbol: let byte_f: int -> int = |i| i & 0xff; let byte: col = byte_f;. Or you can use the built-in function std::prover::eval if you want to do that inside a prover query or hint. All other symbols use their declared type both for their value and for references to these symbols.","breadcrumbs":"pil » Types » Declaring and Referencing Columns","id":"73","title":"Declaring and Referencing Columns"},"74":{"body":"FromLiteral: Implemented by int, fe, expr. The type of a number literal needs to implement FromLiteral. Add: Implemented by int, fe, expr, T[], string. Used by +: T, T -> T (binary plus). Sub: Implemented by int, fe, expr. Used by -: T, T -> T (binary minus). Neg: Implemented by int, fe, expr. Used by -: T -> T (unary minus). Mul: Implemented by int, fe, expr. Used by *: T, T -> T (binary multiplication). Pow: Implemented by int, fe, expr, Used by **: T, int -> T (exponentiation). Ord: Implemented by int. Used by op: T, T, -> bool for op being one of <, >, <=, >=. Eq: Implemented by int, fe, expr. Used by op: T, T -> bool for op being one of ==, !=.","breadcrumbs":"pil » Types » Built-in Traits","id":"74","title":"Built-in Traits"},"75":{"body":"","breadcrumbs":"pil » Types » List of Types","id":"75","title":"List of Types"},"76":{"body":"Type name: bool Booleans are the results of comparisons. They allow the following operators: &&: logical conjunction ||: logical disjunction !: logical negation Short-circuiting is not performed when evaluating boolean operators. This means that (1 == 1) || std::check::panic(\"reason\") will cause a panic abort.","breadcrumbs":"pil » Types » Bool","id":"76","title":"Bool"},"77":{"body":"Type name: int Integers in powdr-pil have unlimited size. Array index requires an integer and row indices (for example the input to a fixed column defined through a function) are also integers. Integer implements FromLiteral, which means that literal numbers can be used in contexts where int is expected. Integers allow the following operators, whose result is always an integer: +: addition -: subtraction (also unary negation) *: multiplication /: integer division rounding towards zero, division by zero results in a runtime error **: exponentiation, the exponent needs to be non-negative and fit 32 bits, otherwise a runtime error is triggered %: remainder after division, (for signed arguments, p % q == sgn(p) * abs(p) % abs(q)), remainder by zero results in a runtime error &: bit-wise conjunction |: bit-wise disjunction ^: bit-wise exclusive or <<: bit-wise shift left, the shift amount needs to be non-negative and fit 32 bits, otherwise a runtime error is triggered >>: bit-wise shift right, the shift amount needs to be non-negative and fit 32 bits, otherwise a runtime error is triggered The exponentiation operator on field elements requires a non-negative integer as exponent. It has the signature **: fe, int -> fe. In addition, the following comparison operators are allowed, the result is a boolean: <: less than <=: less or equal ==: equal !=: not equal >=: greater or equal >: greater than","breadcrumbs":"pil » Types » Integer","id":"77","title":"Integer"},"78":{"body":"Type name: fe Field elements are elements of a particular but unspecified prime field. The exact field is chosen when powdr is run. The modulus of that field can be accessed via std::field::modulus(). Field elements are the values stored in (fixed and witness) columns. Arithmetic inside constraints (algebraic expressions) is also always finite field arithmetic. The type fe implements FromLiteral, which means that literal numbers can be used in contexts where fe is expected. If the literal number is not less than the field modulus, a runtime error is caused. Field elements allow the following operators, where the result is always a field element: +: finite field addition -: finite field subtraction (also unary negation) *: finite field multiplication There is also an exponentiation operator ** on field elements. It requires the exponent to be a non-negative integer and thus has the signature **: fe, int -> fe. If the exponent is negative, a runtime error is triggered. 0**0 is defined as 1. The following comparison operators exist for field elements, whose result is a boolean: ==: equality comparison !=: inequality comparison Since finite fields do not have an inherent order as integers do, if you want to compare them using <, you have to first convert them to integers.","breadcrumbs":"pil » Types » Field Element","id":"78","title":"Field Element"},"79":{"body":"Type name: string String literals are written as \"string content\". They are mainly used for debugging or documentation purposes, since they cannot occur in constraints. They allow the following operators: +: string concatenation","breadcrumbs":"pil » Types » String","id":"79","title":"String"},"8":{"body":"The powdr source and documentation are released under the MIT License .","breadcrumbs":"Introduction » License","id":"8","title":"License"},"80":{"body":"Type name: (..., ..., ...) Tuples are complex types that are composed from other types, either zero or two or more. There is no tuple type with a single element ((int) is the same as int). The empty tuple type is written as (). Examples include (int, int) (a pair of integers) and ((fe[], int), ()) (a tuple consisting of a tuple that contains an array of field elements and an integer and an empty tuple). Tuples values are constructed using parentheses: (1, 2) constructs the tuple that consists of a one and a two. 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Functions allow the following operators: _(...): function evaluation Powdr-pil is usually side-effect free, but there are some built-in functions that have side-effects: These are std::debug::print and std::check::panic and all functions that call them. Expressions are eagerly evaluated from left to right.","breadcrumbs":"pil » Types » Function","id":"82","title":"Function"},"83":{"body":"Type name: expr Expressions are the elements of the algebraic expressions used in constraints. References to columns have type expr and expr also implements FromLiteral, which means that literal numbers can be used in contexts where expr is expected. Example: let x: col;\nlet y: col;\nlet f: -> expr = || x + y;\nlet g = || 7;\nf() = g(); The first two lines define the witness columns x and y. The next two lines define the utility functions f and g. The function f adds the two columns x and y symbolically - it essentially returns the expression x + y. 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The bottom type essentially is the return type of a function that never returns, which currently only happens if you call the panic function. The bottom type is compatible with any other type, which means that you can call the panic function in any context.","breadcrumbs":"pil » Types » Bottom Type","id":"84","title":"Bottom Type"},"85":{"body":"Enums are user-defined types that can hold different named alternatives plus data. An enum type has a (namespaced) name that uniquely identifies it and is also used to reference the type. Enums are declared in the following way: enum EnumName { Variant1, Variant2(), Variant3(int), Variant4(int, int[], EnumName),\n} The variants must have unique names inside the enum and they can optionally take additional data. 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is a versatile zkVM built on the powdr stack, supporting std Rust, multiple proof systems, and zk-continuations for unbounded execution. Designed for flexibility, powdrVM enables efficient proof generation for complex applications with minimal setup.","breadcrumbs":"Introduction » Introduction","id":"0","title":"Introduction"},"1":{"body":"powdrVM is free and open source. You can find the source code on GitHub . Issues and feature requests can be posted on the GitHub issue tracker .","breadcrumbs":"Introduction » Contributing","id":"1","title":"Contributing"},"10":{"body":"You will need the Rust compiler and Cargo, the Rust package manager. The easiest way to install both is with rustup.rs . On Windows, you will also need a recent version of Visual Studio , installed with the \"Desktop Development With C++\" Workloads option. If you want to enable the estark-polygon feature, you also need the following runtime dependencies: gcc nlohmann-json3-dev You will also need the following build time dependencies: make pkg-config libpqxx-dev (Ubuntu) | libpqxx (Arch Linux) nasm","breadcrumbs":"Installation » Prerequisites","id":"10","title":"Prerequisites"},"100":{"body":"There are some types that are not proper built-in types (in the sense that they are not treated specially in the type system), but they are defined in the standard library and are referenced by built-in functions.","breadcrumbs":"pil » Built-in Functions » Types","id":"100","title":"Types"},"101":{"body":"The type Constr or more specifically, std::prelude::Constr is the type of a constraint. Expressions at statement level are required to evaluate either to Constr or Constr[]. It is defined as follows: enum Constr { /// A polynomial identity. Identity(expr, expr), /// A lookup constraint with selectors. Lookup((Option, Option), (expr, expr)[]), /// A permutation constraint with selectors. Permutation((Option, Option), (expr, expr)[]), /// A connection constraint (copy constraint). Connection((expr, expr)[])\n} The operator = can be applied on two expr values and results in a Constr::Identity. The type implements no traits and allows no operators.","breadcrumbs":"pil » Built-in Functions » Constr","id":"101","title":"Constr"},"102":{"body":"The following operators are supported by powdr-pil with their respective signatures. let +: T, T -> T\nlet -: T, T -> T\nlet -: T -> T let *: T, T -> T\nlet /: int, int -> int\nlet %: int, int -> int\nlet **: T, int -> T let <<: int, int -> int\nlet >>: int, int -> int\nlet &: int, int -> int\nlet |: int, int -> int\nlet ^: int, int -> int let <: T, T -> bool\nlet <=: T, T -> bool\nlet >: T, T -> bool\nlet >=: T, T -> bool let ==: T, T -> bool\nlet !=: T, T -> bool let =: expr, expr -> Constr\nlet ': expr -> expr let ||: bool, bool -> bool\nlet &&: bool, bool -> bool\nlet !: bool -> bool","breadcrumbs":"pil » Built-in Functions » Operators","id":"102","title":"Operators"},"103":{"body":"While any frontend VM can be implemented in powdr-asm, powdr comes with several frontends for popular instruction set architectures.","breadcrumbs":"Frontends » Frontends","id":"103","title":"Frontends"},"104":{"body":"A RISCV frontend for powdr is already available.","breadcrumbs":"Frontends » RISCV » RISCV","id":"104","title":"RISCV"},"105":{"body":"# Install the riscv target for the rust compiler\nrustup target add riscv32imac-unknown-none-elf\n# Run the powdr-rs compiler. It will generate files in ./output/\npowdr-rs compile riscv/tests/riscv_data/sum -o output\n# Run powdr to compile powdr-asm to powdr-PIL and generate the witness\n# -i specifies the prover witness input (see below)\npowdr pil output/sum.asm -o output -f -i 10,2,4,6 The example Rust code verifies that a supplied list of integers sums up to a specified value. #![no_main]\n#![no_std] extern crate alloc;\nuse alloc::vec::Vec; use powdr_riscv_runtime::io::read_u32; #[no_mangle]\npub fn main() { // This is the sum claimed by the prover. let proposed_sum = read_u32(0); // The number of integers we want to sum. let len = read_u32(1) as usize; // Read the numbers from the prover and store them // in a vector. let data: Vec<_> = (2..(len + 2)).map(|idx| read_u32(idx as u32)).collect(); // Compute the sum. let sum: u32 = data.iter().sum(); // Check that our sum matches the prover's. assert_eq!(sum, proposed_sum);\n} The function read_u32 reads a number from the list supplied with -i. This is just a first mechanism to provide access to the outside world. The plan is to be able to call arbitrary user-defined ffi functions that will translate to prover queries, and can then ask for e.g. the value of a storage slot at a certain address or the root hash of a Merkle tree.","breadcrumbs":"Frontends » RISCV » How to run the Rust-RISCV example","id":"105","title":"How to run the Rust-RISCV example"},"106":{"body":"ZK-continuations can be used to make proofs for unbounded execution traces of Rust programs, where the trace is split into many different chunks. A proof is computed for each chunk, and all proofs can be combined with recursion/aggregation until a single proof remains. For the details of how memory is handled in the ZK-continuations case please see this . powdr-rs has experimental support to ZK-continuations, which can be used as follows. Let's use as example test many chunks from the riscv crate: #![no_main]\n#![no_std] extern crate alloc;\nextern crate powdr_riscv_runtime;\nuse alloc::vec::Vec; #[no_mangle]\npub fn main() { let mut foo = Vec::new(); foo.push(1); for _ in 0..100 { foo.push(foo.iter().sum()); } // Compute some fibonacci numbers // -> Does not access memory but also does not get optimized out... let mut a = 1; let mut b = 1; for _ in 0..150000 { let tmp = a + b; a = b; b = tmp; } // Don't optimize me away :/ assert!(a > 0);\n} First we need to compile the Rust code to powdr-asm: powdr-rs compile riscv/tests/riscv_data/many_chunks Now we can use powdr's RISCV executor to estimate how many cycles are needed: powdr-rs execute many_chunks.asm ...\nExecution trace length: 750329 By default, powdr-RISCV uses chunks of length 2^18. That means we will need at least 3 chunks. For the continuations case, the compiled assembly code looks different because of the external memory commitments, so we need to recompile using the --continuations flag: powdr-rs compile riscv/tests/riscv_data/many_chunks --continuations We can now execute the program with continuations enabled: powdr-rs -- execute many_chunks.asm --continuations The output now is longer: Running chunk 0...\nBuilding bootloader inputs for chunk 0...\n26 unique memory accesses over 2 accessed pages: {31, 32}\nEstimating the shutdown routine to use 1362 rows.\nBootloader inputs length: 1285\nSimulating chunk execution...\nInitial memory root hash: 44cd91c12033ad4c6a6b19793b73f1a66d99a0e0bf63494c12ceb1f451ec9452\nFinal memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125\nChunk trace length: 260782\nValidating chunk...\nBootloader used 3134 rows. => 257648 / 262144 (98%) of rows are used for the actual computation!\nProved 257647 rows. Running chunk 1...\nBuilding bootloader inputs for chunk 1...\n0 unique memory accesses over 0 accessed pages: {}\nEstimating the shutdown routine to use 42 rows.\nBootloader inputs length: 83\nSimulating chunk execution...\nInitial memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125\nFinal memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125\nChunk trace length: 262102\nValidating chunk...\nBootloader used 62 rows. => 262040 / 262144 (99%) of rows are used for the actual computation!\nProved 262039 rows. Running chunk 2...\nBuilding bootloader inputs for chunk 2...\n2 unique memory accesses over 1 accessed pages: {31}\nEstimating the shutdown routine to use 702 rows.\nBootloader inputs length: 684\nSimulating chunk execution...\nInitial memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125\nFinal memory root hash: e6a6fd63d864c734d6a4df4988f733738790262af9c7b014a1c036679baf1125\nChunk trace length: 232057\nValidating chunk...\nBootloader used 1610 rows. => 259832 / 262144 (99%) of rows are used for the actual computation!\nDone! The step above is informational, but for the proofs we also need the full witness: powdr-rs execute many_chunks.asm --witness The witnesses are written in ./chunk_0/commits.bin, ./chunk_1/commits.bin and ./chunk_2/commits.bin. Now that we have the witnesses for all chunks we can use powdr (instead of powdr-rs) to compute proofs for each chunk: powdr prove many_chunks.asm -d chunk_0 --backend estark-dump\npowdr prove many_chunks.asm -d chunk_1 --backend estark-dump\npowdr prove many_chunks.asm -d chunk_2 --backend estark-dump These proofs are mock proofs for the sake of the example, but any backend should work here. After generating real proofs, each specific proof system can be used for the recursion/aggregation parts. A follow-up tutorial on that is coming soon.","breadcrumbs":"Frontends » RISCV » zk-Continuations » RISCV and ZK-Continuations","id":"106","title":"RISCV and ZK-Continuations"},"107":{"body":"A Valida front end for powdr is under development. If you are interested, feel free to reach out !","breadcrumbs":"Frontends » Valida » Valida","id":"107","title":"Valida"},"108":{"body":"An EVM frontend for powdr is under development. If you are interested, feel free to reach out !","breadcrumbs":"Frontends » EVM » EVM","id":"108","title":"EVM"},"109":{"body":"powdr aims to have full flexibility when it comes to generating proofs and comes with a few built-in backends to get started with zkVMs.","breadcrumbs":"Backends » Backends","id":"109","title":"Backends"},"11":{"body":"Using a single Cargo command, enabling the Halo2 and Plonky3 backends: cargo install --git https://github.com/powdr-labs/powdr --features halo2,plonky3 powdr-cli With SIMD support for the provers that support it: RUSTFLAGS='-C target-cpu=native' cargo install --git https://github.com/powdr-labs/powdr --features halo2,plonky3,plonky3-simd powdr-cli Or, by manually building from a local copy of the powdr repository : # clone the repository\ngit clone https://github.com/powdr-labs/powdr.git\ncd powdr\n# install powdr-cli\ncargo install --features halo2,plonky3 --path ./cli\n# install powdr-cli with SIMD support (only for the crates that support it)\nRUSTFLAGS='-C target-cpu=native' cargo install --features halo2,plonky3,plonky3-simd --path ./cli","breadcrumbs":"Installation » Building powdr","id":"11","title":"Building powdr"},"110":{"body":"powdr partially supports plonky3 with the Goldilocks, BabyBear, KoalaBear, and Mersenne31 fields.","breadcrumbs":"Backends » plonky3 » Plonky3","id":"110","title":"Plonky3"},"111":{"body":"powdr supports the PSE fork of halo2 with the bn254 field.","breadcrumbs":"Backends » Halo2 » Halo2","id":"111","title":"Halo2"},"112":{"body":"powdr supports the eSTARK proof system with the Goldilocks field, implemented by the starky library from eigen-zkvm .","breadcrumbs":"Backends » eSTARK » eSTARK","id":"112","title":"eSTARK"},"113":{"body":"powdr applies a number of steps in order to reduce a powdr-asm program into PIL. We provide a high level overview of these steps. ┌────────────┐ ┌──────────┐ │ │ │ │ powdr-asm │ │ AIR graph │ │ PIL\n───────────►│ compiler ├───────────┤ linker ├──────► │ │ │ │ │ │ │ │ └────────────┘ └──────────┘","breadcrumbs":"Architecture » Architecture","id":"113","title":"Architecture"},"114":{"body":"In this section, we explain how the powdr compiler reduces a program made of virtual and constrained machines to a set of AIRs.","breadcrumbs":"Architecture » Compiler » Compiler","id":"114","title":"Compiler"},"115":{"body":"The first step is to reduce virtual machines to constrained machines. This step is run on all machines and does not affect constrained machines. As a result of this step, for each machine: Local instructions are reduced to constraints External instructions are reduced to links Functions are reduced to operations","breadcrumbs":"Architecture » Compiler » Virtual machine reduction","id":"115","title":"Virtual machine reduction"},"116":{"body":"Block enforcement applies on constrained machines. It makes sure that the operation_id is constant within each machine block.","breadcrumbs":"Architecture » Compiler » Block enforcement","id":"116","title":"Block enforcement"},"117":{"body":"At this point, all machines contain only: an optional degree range constraints links to other machines operations Let's define AIR as a data structure with only these elements. Starting from the main machine's type, we create a tree of AIR objects by traversing its submachines, recursively instantiating each machine as an AIR. Let's define the AIR tree as the resulting tree.","breadcrumbs":"Architecture » Compiler » AIR generation","id":"117","title":"AIR generation"},"118":{"body":"A linker is used to turn an AIR tree into a single PIL file. The linking process operates in the following way: Create an empty PIL file Start from the main AIR. Let main_degree_range be its degree. For each AIR Create a new namespace in the PIL file 2a. If degrees-mode is vadcop, set the namespace degree to that of the AIR 2b. If degrees-mode is monolithic, set the namespace degree to main_degree_range Add the constraints to the namespace Turn the links into lookups and permutations and add them to the namespace The result is a monolithic AIR where: each machine instance is a namespace each namespace defines its own degree range","breadcrumbs":"Architecture » Linker » Linker","id":"118","title":"Linker"},"12":{"body":"Using a single Cargo command: cargo install --git https://github.com/powdr-labs/powdr powdr-rs-cli Or, by manually building from a local copy of the powdr repository : # clone the repository\ngit clone https://github.com/powdr-labs/powdr.git\ncd powdr\n# install powdr-rs-cli\ncargo install --path ./cli-rs","breadcrumbs":"Installation » Building powdr-rs","id":"12","title":"Building powdr-rs"},"13":{"body":"Let's write a minimal VM and generate proofs! machine HelloWorld with degree: 8 { reg pc[@pc]; reg X[<=]; reg Y[<=]; reg A; instr incr X -> Y { Y = X + 1 } instr decr X -> Y { Y = X - 1 } instr assert_zero X { X = 0 } function main { // assign the first prover input to A A <=X= ${ std::prelude::Query::Input(0, 1) }; // increment A A <== incr(A); // decrement A A <== decr(A); // assert that A is zero assert_zero A; return; }\n} Let's go through different possible usages of powdr, starting with using the powdr CLI.","breadcrumbs":"Hello World » Hello World","id":"13","title":"Hello World"},"14":{"body":"Let's generate a proof of execution for the valid prover input 0 (since 0 + 1 - 1 == 0) powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 1 --prove-with halo2 We observe that several artifacts are created in the current directory: hello_world.pil: the compiled PIL file. hello_world_opt.pil: the optimized PIL file. hello_world_constants.bin: the computed fixed columns which only have to be computed once per PIL file. hello_world_commits.bin: the computed witness which needs to be computed for each proof. hello_world_proof.bin: the ZK proof! Note that the output directory can be specified with option -o|--output, and . is used by default. Now let's try for the invalid input 1: powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 2 --prove-with halo2 In this case witness generation fails, and no proof is created.","breadcrumbs":"Hello World » in the CLI » Hello World using the CLI","id":"14","title":"Hello World using the CLI"},"15":{"body":"The example above omits some important steps in proof generation: Setup and Verification key generation. Some proof systems such as Halo2 , require a Setup to be performed before the proof. Such Setup can be specific to the program or universal, where its artifact is a binary usually called parameters or params. STARKs do not require a Setup. Another step required before the proof is computed is key generation. A proving key and a verification key are generated taking into account the constraints and potentially Setup parameters. The proving key is used by the prover to generate the proof, and the verification key is used by the verifier to verify such a proof. A single verification key can be used to verify any number of different proofs for a given program. Therefore, when computing a proof, it is important that the Setup parameters and the verification key are available as artifacts. Below we reproduce the same proof as in the example above, keeping the artifacts needed for verification: First we run the Setup, where the number given must match the degree of our source file (degree 8). The command below generates file params.bin. powdr setup 8 --backend halo2 --field bn254 We can now compute the verification key, output in vkey.bin: powdr verification-key test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --params \"params.bin\" The command above can read previously generated constants from the directory specified via -d|--dir, where . is used by default. If the constants are not present it computes them before generating the verification key. The next command compiles and optimizes the given source, generating the file hello_world_opt.pil. It also computes both the fixed data and the witness needed for the proof, stored respectively in hello_world_constants.bin and hello_world_commits.bin. powdr pil test_data/asm/book/hello_world.asm --field bn254 --force --inputs 0 We can now generate the proof: powdr prove test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --params \"params.bin\" --vkey \"vkey.bin\" The proof can be verified by anyone via: powdr verify test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --vkey \"vkey.bin\" --params \"params.bin\" --proof \"hello_world_proof.bin\" Note that CLI proof verification works analogously for eSTARK, without the setup step and using the Goldilocks field instead of Bn254. Another aspect that was omitted in this example is the fact that this proof uses a Poseidon transcript and cannot be verified in a cheap way on Ethereum, even though we can verify it efficiently via powdr. There are two ways to enable verification on Ethereum: Use a different transcript when generating this proof. See section Hello World on Ethereum for the same example targeting EVM verification. Use proof aggregation to compress the proof using a circuit that can be verified on Ethereum. See section Hello World on Ethereum via proof aggregation to learn how to do that.","breadcrumbs":"Hello World » in the CLI » Setup & Verification","id":"15","title":"Setup & Verification"},"16":{"body":"Besides the CLI, powdr can also be used as a Rust library. The powdr crate exposes internal crates and data structures needed to compile code, generate witnesses, and compute proofs. Add powdr to your crate's dependencies: [dependencies]\npowdr = { git = \"https://github.com/powdr-labs/powdr\", branch = \"main\" } The following Rust code has the same workflow as our previous \"Hello World\" example. The full project can be found here , and as an example in the powdr crate. To run the example in the powdr repository , run: cargo run --example powdr_crate_usage You can also enable logs to know what is happening internally: RUST_LOG=info cargo run --example powdr_crate_usage use powdr_test::halo2_pipeline; fn main() { env_logger::init(); halo2_pipeline( \"test_data/asm/book/hello_world.asm\", vec![0.into()], vec![], 8, );\n} use powdr::backend::BackendType;\nuse powdr::number::buffered_write_file;\nuse powdr::Bn254Field;\nuse powdr::Pipeline; use std::path::Path; pub fn halo2_pipeline( pil: &str, prover_inputs: Vec, publics: Vec, setup_size: u64,\n) { // Straightforward case let _proof = Pipeline::::default() .from_file(pil.into()) .with_prover_inputs(prover_inputs.clone()) .with_backend(BackendType::Halo2, None) .compute_proof() .unwrap(); // Step-by-step case // First we create the universal setup of size 8 buffered_write_file(Path::new(\"params.bin\"), |writer| { BackendType::Halo2 .factory::() .generate_setup(setup_size, writer) .unwrap() }) .unwrap(); // Configure a pipeline let mut pipeline = Pipeline::::default() .from_file(pil.into()) .with_prover_inputs(prover_inputs) .with_backend(BackendType::Halo2, None) .with_setup_file(Some(\"params.bin\".into())); // Create the verification key buffered_write_file(Path::new(\"vkey.bin\"), |w| { pipeline.export_verification_key(w).unwrap() }) .unwrap(); // Add the verification key to a fresh pipeline and create a proof let mut pipeline_fresh = pipeline.clone().with_vkey_file(Some(\"vkey.bin\".into())); let proof = pipeline_fresh.compute_proof().unwrap(); // Create yet another fresh pipeline only for proof verification let mut pipeline = pipeline .with_backend(BackendType::Halo2, None) .with_setup_file(Some(\"params.bin\".into())) .with_vkey_file(Some(\"vkey.bin\".into())); // Verify a proof created by a different Pipeline pipeline.verify(proof, &[publics]).unwrap();\n}","breadcrumbs":"Hello World » as a library » Hello World using powdr as a library","id":"16","title":"Hello World using powdr as a library"},"17":{"body":"This example is a variation of the previous Hello World , targeting verification on Ethereum. In this example we will cover how to generate proofs directly using a Keccak transcript instead of the Poseidon transcript of the previous example, which will enable us to verify proofs onchain. There are almost no differences from the CLI perspective. Since the following command creates a proof, a Solidity verifier, and verifies the proof on the EVM, we need to have solc available in the system. One easy way to install it is by using svm . powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 0 --prove-with halo2 --backend-options \"snark_single\" -f --params params.bin The extra parameter --backend-options snark_single tells powdr to produce a single SNARK that uses Keccak. The option -f forces overwriting the compiled files that have been generated before, which is useful if you are running the examples in the same directory. When the proof is generated, it is verified on a simulated EVM transaction as well! Verifying SNARK in the EVM... We can observe again that a proof was created at hello_world_proof.bin. Now we can generate a Solidity verifier, using the same setup (params) as the previous example: powdr export-verifier test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"snark_single\" --params params.bin A Solidity file verifier.sol is generated. You can verify the same proof that we just generated by passing it to the contract together with the public inputs (which we have not used so far). Note that the more complex your VM is, the larger the verifier contract will be. In some cases, it might exceed Ethereum's contract size limit. You can mitigate that by using proof recursion on proofs that use Poseidon transcripts. See the next section for details .","breadcrumbs":"Hello World » verified on Ethereum » Hello World on Ethereum","id":"17","title":"Hello World on Ethereum"},"18":{"body":"As noted in the previous section, complex VMs can lead to large Solidity verifiers that exceed the contract size limit on Ethereum. One solution to that problem is to create proofs using the Poseidon transcript, as we did in the first example , and then use proof recursion to create a proof that we know we will be able to verify on Ethereum. A recursive SNARK works by generating a proof for a circuit that verifies another proof. The circuit we are using here to prove our initial proof recursively is PSE's snark-verifier . This circuit is large enough to be able to prove complex programs that were proven initial with the Poseidon transcript, like our first example. Because of that our aggregation setup params and verification key are going to be larger than before and take longer to compute. The good news are that (i) we can use a pre-computed setup from a previous ceremony, and (ii) the verification key only has to be computed once per program. First, we need a setup of \"size\" 2^22. This is the maximum execution trace length of the recursion circuit. You can generate it using the command line below, or download a pre-computed one here . This will take a couple minutes if you decide to compute it yourself: powdr setup 4194304 --backend halo2 --field bn254 We can re-use the new large params.bin for both initial and recursive proofs. Let's start by re-computing our Poseidon proof like in the first example , but using our new setup file: powdr pil test_data/asm/book/hello_world.asm --field bn254 --inputs 0 --prove-with halo2 --backend-options \"poseidon\" -f --params params.bin This generates the initial proof hello_world_proof.bin. We'll also need a verification key: powdr verification-key test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"poseidon\" --params params.bin Let's verify the proof with our fresh verification key to make sure we're on the right track: powdr verify test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"poseidon\" --params params.bin --vkey vkey.bin --proof hello_world_proof.bin In order to avoid confusion between the application's artifacts that we've just generated and the recursion one we're going to generate later, let's rename them: mv vkey.bin vkey_app.bin\nmv hello_world_proof.bin hello_world_proof_app.bin We can now generate a verification key for the Halo2 circuit that verifies our proofs recursively. This might take up to a minute. powdr verification-key test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"snark_aggr\" --params params.bin --vkey-app vkey_app.bin Note that this verification key can only be used to verify recursive proofs that verify other proofs using the application's key vkey_app.bin. We can now generate the recursive proof (this typically takes a few minutes and uses around 28gb RAM): powdr prove test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"snark_aggr\" --params params.bin --vkey vkey.bin --vkey-app vkey_app.bin --proof hello_world_proof_app.bin We have a proof! Note that it contains two fields, proof and publics. The proof object contains the binary encoding of the proof points, and the publics object contains the public accumulator limbs that we need in order to verify the recursive proof. We can now verify the proof, using the publics object as input (your numbers will be different): powdr verify test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"snark_aggr\" --params params.bin --vkey vkey.bin --proof hello_world_proof_aggr.bin --publics \"269487626280642378794,9378970522278219882,62304027188881225691,811176493438944,234778270138968319485,3212529982775999134,171155758373806079356,207910400337448,188563849779606300850,155626297629081952942,194348356185923309508,433061951018270,34598221006207900280,283775241405787955338,79508596887913496910,354189825580534\" Since the goal of the recursive proof was to be able to verify it on Ethereum, let's do that! powdr export-verifier test_data/asm/book/hello_world.asm --field bn254 --backend halo2 --backend-options \"snark_aggr\" --params params.bin --vkey vkey.bin A Solidity verifier is created in verifier.sol. The contract expects an array of the accumulators' limbs followed by a tightly packed proof, where each accumulator limb uses 32 bytes, and there is no function signature. Note that this verifier can be used to verify any recursive proof that verifies exactly one Poseidon proof of the given circuit.","breadcrumbs":"Hello World » verified on Ethereum with proof aggregation » Hello World on Ethereum with proof aggregation","id":"18","title":"Hello World on Ethereum with proof aggregation"},"19":{"body":"Besides the Hello World examples, you are encouraged to check out these more complex and real-world use cases: Ethereum state tests via powdr-RISCV + revm Brainfuck VM in 3 different implementations (powdr-asm interpreter, powdr-asm ISA, Rust interpreter + powdr-RISCV) Machine Learning zkVM Compiler","breadcrumbs":"Examples » Examples","id":"19","title":"Examples"},"2":{"body":"The powdr source and documentation are released under the MIT License .","breadcrumbs":"Introduction » License","id":"2","title":"License"},"20":{"body":"Public values are a small but important part of verifying ZK proofs. Often, the verifier is interested in inputs and/or outputs to a public function. In the toy example below, the prover can show that they know the square root of a public value that is published with the proof. You can also run this example directly in the powdr repository : cargo run --example sqrt_with_public You can also enable logs to know what is happening internally: RUST_LOG=info cargo run --example sqrt_with_public machine Square with degree: 8 { reg pc[@pc]; reg X[<=]; reg Y[<=]; reg A; // Expose the register value of A in the last time step public N = A(7); instr square X -> Y { Y = X * X } function main { A <=X= ${ std::prelude::Query::Input(0, 1) }; A <== square(A); }\n} This example uses a small VM with jump and a square instructions. The program reads the private input from the prover, squares it, and enters an infinite loop to ensure that all the remaining rows are filled with the result of A^2. Since the length of our execution trace is fixed and equals 8, we can tag the 8-th row of A (A[7]) as the publicly exposed number. Let's run all steps needed to generate and verify a proof that 32 = 9: Setup step: powdr setup 8 --backend halo2 --field bn254 Witness generation: powdr pil test_data/asm/sqrt_with_public.asm --field bn254 -i 3 Verification Key generation: powdr verification-key test_data/asm/sqrt_with_public.asm --field bn254 --backend halo2 --params params.bin Proof generation: powdr prove test_data/asm/sqrt_with_public.asm --field bn254 --backend halo2 --params params.bin --vkey vkey.bin Proof verification: powdr verify test_data/asm/sqrt_with_public.asm --field bn254 --backend halo2 --params params.bin --vkey vkey.bin --proof sqrt_with_public_proof.bin --publics 9","breadcrumbs":"Using publics » Using publics","id":"20","title":"Using publics"},"21":{"body":"This document contains the help content for the powdr command-line program. Command Overview: powdr↴ powdr pil↴ powdr prove↴ powdr verify↴ powdr verification-key↴ powdr export-verifier↴ powdr setup↴ powdr reformat↴ powdr optimize-pil↴ powdr test↴","breadcrumbs":"CLI » Command-Line Help for powdr","id":"21","title":"Command-Line Help for powdr"},"22":{"body":"powdr CLI to compile powdr-asm and powdr-pil programs Usage: powdr [OPTIONS] [COMMAND] Subcommands: pil — Runs compilation and witness generation for .pil and .asm files. First converts .asm files to .pil, if needed. Then converts the .pil file to json and generates fixed and witness column data files prove — verify — verification-key — export-verifier — setup — reformat — Parses and prints the PIL file on stdout optimize-pil — Optimizes the PIL file and outputs it on stdout test — Executes all functions starting with test_ in every module called test (or sub-module thereof) starting from the given module Options: --log-level — Set log filter value [ off, error, warn, info, debug, trace ] Default value: INFO","breadcrumbs":"CLI » powdr","id":"22","title":"powdr"},"23":{"body":"Runs compilation and witness generation for .pil and .asm files. First converts .asm files to .pil, if needed. Then converts the .pil file to json and generates fixed and witness column data files Usage: powdr pil [OPTIONS] Arguments: — Input file Options: --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 -o, --output-directory — Output directory for the PIL file, json file and fixed and witness column data Default value: . -w, --witness-values — Path to a CSV file containing externally computed witness values -i, --inputs — Comma-separated list of free inputs (numbers) Default value: `` -f, --force — Force overwriting of PIL output file Default value: false --pilo — Whether to output the pilo PIL object Default value: false -p, --prove-with — Generate a proof with a given backend Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite --params — File containing previously generated setup parameters --backend-options — Backend options. Halo2: \"poseidon\", \"snark_single\" or \"snark_aggr\". EStark and PilStarkCLI: \"stark_gl\", \"stark_bn\" or \"snark_bn\" --linker-mode — Linker mode, deciding how to reduce links to constraints Possible values: native, bus --degree-mode — Degree mode, deciding whether to use a single monolithic table or a set of dynamically sized tables --export-witness-csv — Generate a CSV file containing the witness column values Default value: false --export-all-columns-csv — Generate a CSV file containing all fixed and witness column values. Useful for debugging purposes Default value: false --csv-mode — How to render field elements in the csv file Default value: hex Possible values: i, ui, hex","breadcrumbs":"CLI » powdr pil","id":"23","title":"powdr pil"},"24":{"body":"Usage: powdr prove [OPTIONS] --backend Arguments: — Input PIL file Options: -d, --dir — Directory to find the committed and fixed values Default value: . --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 -b, --backend — Generate a proof with a given backend Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite --backend-options — Backend options. Halo2: \"poseidon\", \"snark_single\" or \"snark_aggr\". EStark and PilStarkCLI: \"stark_gl\", \"stark_bn\" or \"snark_bn\" --proof — File containing previously generated proof for aggregation --vkey — File containing previously generated verification key --vkey-app — File containing the verification key of a proof to be verified recursively --params — File containing previously generated setup parameters","breadcrumbs":"CLI » powdr prove","id":"24","title":"powdr prove"},"25":{"body":"Usage: powdr verify [OPTIONS] --backend --proof --vkey Arguments: — Input PIL file Options: -d, --dir — Directory to find the fixed values Default value: . --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 -b, --backend — Generate a proof with a given backend Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite --backend-options — Backend options. Halo2: \"poseidon\", \"snark_single\" or \"snark_aggr\". EStark and PilStarkCLI: \"stark_gl\", \"stark_bn\" or \"snark_bn\" --proof — File containing the proof --publics — Comma-separated list of public inputs (numbers) Default value: `` --vkey — File containing the verification key --params — File containing the params","breadcrumbs":"CLI » powdr verify","id":"25","title":"powdr verify"},"26":{"body":"Usage: powdr verification-key [OPTIONS] --backend Arguments: — Input PIL file Options: -d, --dir — Directory to find the fixed values Default value: . --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 -b, --backend — Chosen backend Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite --backend-options — Backend options. Halo2: \"poseidon\", \"snark_single\" or \"snark_aggr\". EStark and PilStarkCLI: \"stark_gl\", \"stark_bn\" or \"snark_bn\" --params — File containing previously generated setup parameters. This will be needed for SNARK verification keys but not for STARK --vkey-app — File containing the verification key of a proof to be verified recursively","breadcrumbs":"CLI » powdr verification-key","id":"26","title":"powdr verification-key"},"27":{"body":"Usage: powdr export-verifier [OPTIONS] --backend Arguments: — Input PIL file Options: -d, --dir — Directory to find the fixed values Default value: . --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 -b, --backend — Chosen backend Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite --backend-options — Backend options. Halo2: \"poseidon\", \"snark_single\" or \"snark_aggr\". EStark and PilStarkCLI: \"stark_gl\", \"stark_bn\" or \"snark_bn\" --params — File containing previously generated setup parameters. This will be needed for SNARK verification keys but not for STARK --vkey — File containing previously generated verification key","breadcrumbs":"CLI » powdr export-verifier","id":"27","title":"powdr export-verifier"},"28":{"body":"Usage: powdr setup [OPTIONS] --backend Arguments: — Size of the parameters Options: -d, --dir — Directory to output the generated parameters Default value: . --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 -b, --backend — Generate a proof with a given backend Possible values: mock, halo2, halo2-composite, halo2-mock, halo2-mock-composite, plonky3, plonky3-composite","breadcrumbs":"CLI » powdr setup","id":"28","title":"powdr setup"},"29":{"body":"Parses and prints the PIL file on stdout Usage: powdr reformat Arguments: — Input file","breadcrumbs":"CLI » powdr reformat","id":"29","title":"powdr reformat"},"3":{"body":"The easiest way to start making ZK proofs with powdrVM is to install cargo-powdr: cargo install cargo-powdr cargo-powdr is used to create and manage powdrVM projects, similar to cargo itself.","breadcrumbs":"Installation » Installation","id":"3","title":"Installation"},"30":{"body":"Optimizes the PIL file and outputs it on stdout Usage: powdr optimize-pil [OPTIONS] Arguments: — Input file Options: --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254","breadcrumbs":"CLI » powdr optimize-pil","id":"30","title":"powdr optimize-pil"},"31":{"body":"Executes all functions starting with test_ in every module called test (or sub-module thereof) starting from the given module Usage: powdr test [OPTIONS] Arguments: — Input file Options: --field — The field to use Default value: gl Possible values: bb, kb, m31, gl, bn254 This document was generated automatically by clap-markdown.","breadcrumbs":"CLI » powdr test","id":"31","title":"powdr test"},"32":{"body":"powdr-asm is the higher level of abstraction in powdr. It allows defining Instruction Set Architectures (ISA) using virtual and constrained machines.","breadcrumbs":"asm » asm","id":"32","title":"asm"},"33":{"body":"powdr exposes a module system to help organise and reuse code. use my_module::Other as LocalOther; // we can define a module at `./submodule.asm`\nmod submodule; // we can define a module at `./submodule_in_folder/mod.asm`\nmod submodule_in_folder; use submodule::Other as SubmoduleOther;\nuse submodule_in_folder::Other as FolderSubmoduleOther; let zero: int = 0; // we can also define modules inline\nmod utils { // Each module has a fresh symbol list. Every external symbol needs to be imported, // even from the parent module. use super::zero; let one = zero + 1;\n} machine Main with degree: 8 { // use a machine from another module by relative path my_module::Other a; // use a machine from another module using a local binding LocalOther b; // use a machine from another module defined in a different file SubmoduleOther c; // use a machine from another module defined in a different directory FolderSubmoduleOther d; reg pc[@pc]; instr nothing link => a.nothing(); instr also_nothing link => b.nothing(); instr still_nothing link => c.nothing(); instr nothing_again link => d.nothing(); function main { nothing; also_nothing; still_nothing; nothing_again; return; }\n} mod my_module { machine Other with degree: 8, latch: latch, operation_id: operation_id { operation nothing<0>; col fixed latch = [1]*; col fixed operation_id = [0]*; }\n} Note that a module can't be called std, as this name is reserved for the powdr standard library. Similar to Rust, any reference that cannot be resolved is looked up once more in std::prelude. This module exposes basic types and values such as Option, true and false. This means that you can use Option anywhere without prefix.","breadcrumbs":"asm » Modules » Modules","id":"33","title":"Modules"},"34":{"body":"Symbols can be defined via let = ;, or via let : = ; if you want to specify the type explicitly. The value is an arbitrary PIL-expression . For details, see the Declarations section in the PIL part. Other symbols available in the current module can be accessed by name, but it is also possible to specify full relative paths in the form of e.g. super::super::module_name::symbol. Here are some examples of how to define and use symbols: mod utils { // This defines a function by means of a lambda expression that // computes the sum of an array of values. We fully specify its type. let sum: int, int[] -> int = |len, arr| match len { 0 => 0, _ => arr[len - 1] + sum(len - 1, arr) }; // A simple function that returns the input incremented by one, // as an expression. let incremented: expr -> expr = |x| x + 1; // This is a function that takes an expression as input and returns // a constraint enforcing this expression increments by a certain value // between rows. // The type will be inferred here because `'` is only valid on `expr`. let constrain_incremented_by = |x, inc| x' = x + inc;\n} machine Main with degree: 4 { // Machines create local scopes in the way functions create local scopes: // - all symbols in the machine's module are available without prefix, // - new symbols can be defined but are only available inside the machine. reg A; reg pc[@pc]; // This defines a witness column, let x; // and now we force it to stay unchanged. utils::constrain_incremented_by(x, 0); // We define an instruction that uses a complicated way to increment a register. instr incr_a { A' = utils::incremented(A) } function main { incr_a; return; }\n}","breadcrumbs":"asm » Declarations » Declarations","id":"34","title":"Declarations"},"35":{"body":"Machines are the first main concept in powdr-asm. They can currently be of two types: virtual or constrained.","breadcrumbs":"asm » Machines » Machines","id":"35","title":"Machines"},"36":{"body":"Dynamic machines are defined by: a degree range , indicating the number of execution steps a set of registers , including a program counter an instruction set a set of powdr-pil statements a set of functions a set of submachines An example of a simple dynamic machine is the following: machine HelloWorld with degree: 8 { reg pc[@pc]; reg X[<=]; reg Y[<=]; reg A; instr incr X -> Y { Y = X + 1 } instr decr X -> Y { Y = X - 1 } instr assert_zero X { X = 0 } function main { // assign the first prover input to A A <=X= ${ std::prelude::Query::Input(0, 1) }; // increment A A <== incr(A); // decrement A A <== decr(A); // assert that A is zero assert_zero A; return; }\n}","breadcrumbs":"asm » Machines » Virtual machines","id":"36","title":"Virtual machines"},"37":{"body":"Constrained machines are a lower-level type of machine. They do not have registers, and instead rely on simple committed and fixed columns. They are used to implement hand-optimized computation. They are defined by: a degree range , indicating the number of execution steps a set of operations an operation_identifier column, used to make constraints conditional over which function is called. It can be omitted with _ if the machine has at most one operation. a latch column, used to identify rows at which the machine can be accessed from the outside (where the inputs and outputs are passed). It can be omitted if the machine has no operations. a set of submachines a set of links An example of a simple constrained machine is the following: machine SimpleStatic with degree: 8, latch: latch, operation_id: operation_id\n{ operation power_4<0> x -> y; col fixed operation_id = [0]*; col fixed latch = [0, 0, 0, 1]*; col witness x; col witness y; // initialise y to x at the beginning of each block latch * (y' - x') = 0; // x is unconstrained at the beginning of the block // x is constant within a block (1 - latch) * (x' - x) = 0; // y is multiplied by x at each row (1 - latch) * (y' - x * y) = 0;\n} For more details on the powdr-pil statements, check out the pil section of this book. Note that the parameters of the operation are columns defined in powdr-pil statements.","breadcrumbs":"asm » Machines » Constrained machines","id":"37","title":"Constrained machines"},"38":{"body":"Machines can have submachines which they access by defining external instructions or links . They are declared as follows: machine MySubmachine { ...\n} machine MyMachine { MySubmachine my_submachine;\n} Machines can also receive submachines as construction parameters. A machine passed in as an argument can be accessed in the same way as locally declared submachines: machine MachineWithParam(subm: MySubmachine) { // `subm` can be accessed as a submachine ...\n} machine MyMachine { MySubmachine my_submachine; // `my_submachine` is passed to `another_submachine` as a construction argument MachineWithParam another_submachine(my_submachine);\n}","breadcrumbs":"asm » Machines » Submachines","id":"38","title":"Submachines"},"39":{"body":"Registers are central to a machine. powdr supports a few types of registers:","breadcrumbs":"asm » Registers » Registers","id":"39","title":"Registers"},"4":{"body":"You will need the Rust compiler and Cargo, the Rust package manager. The easiest way to install both is with rustup.rs .","breadcrumbs":"Installation » Prerequisites","id":"4","title":"Prerequisites"},"40":{"body":"Each machine can have at most one program counter. In the absence of a program counter, the machine is considered static, and no other register can be declared. The program counter is defined as follows: reg pc[@pc] At each step execution step, the program counter points to the function line to execute. The program counter behaves like a write register , with the exception that its value is incremented by default after each step.","breadcrumbs":"asm » Registers » Program counter","id":"40","title":"Program counter"},"41":{"body":"Write registers are the default type for registers. They are declared as follows: reg A; They hold a field element, are initialized as 0 at the beginning of a function and keep their value by default. They can be read from and written to. // write to A\nA <=X= 1;\n// A is 1 // read from A\nB <=X= A;\n// A is still 1","breadcrumbs":"asm » Registers » Write registers","id":"41","title":"Write registers"},"42":{"body":"Assignment registers are transient to an execution step: their value is not persisted across steps. They are required in order to pass inputs and receive outputs from instructions, as well as in assignments. For example, if we want to assert that write register A is 0, we can use the following instruction: reg pc[@pc];\nreg A; instr assert_A_is_zero { A = 0\n} function main { assert_A_is_zero; return;\n} However, if we want the instruction to accept any write register as input, we use an assignment register. reg pc[@pc];\nreg X[<=];\nreg A; instr assert_zero X { X = 0\n} function main { assert_zero A; return;\n}","breadcrumbs":"asm » Registers » Assignment registers","id":"42","title":"Assignment registers"},"43":{"body":"Read-only registers are used for function inputs. However, powdr creates them automatically based on functions arguments, so that they do not need to be declared explicitly. Read-only registers are only mentioned for completeness here and are currently only used inside the compiler. We advise against using them.","breadcrumbs":"asm » Registers » Read-only registers","id":"43","title":"Read-only registers"},"44":{"body":"Functions are the entry points to a virtual machine. They can be called from another machine or from the outside. In this section, we describe functions with this simple virtual machine: machine Machine with degree: 16 { reg pc[@pc]; reg X[<=]; reg Y[<=]; reg Z[<=]; reg CNT; reg A; reg B; // an instruction to assert that a number is zero instr assert_zero X { X = 0 } // an instruction to jump to a label instr jmp l: label { pc' = l } // an instruction to jump to a label iff `X` is `0`, otherwise continue instr jmpz X, l: label { pc' = XIsZero * l + (1 - XIsZero) * (pc + 1) } // an instruction to return the square of an input as well as its double instr square_and_double X -> Y, Z { Y = X * X, Z = 2 * X } function main { // initialise `A` to 2 A <=X= 2; // initialise `CNT` to `3` CNT <=X= 3; start: // if `CNT` is `0`, jump to `end` jmpz CNT, end; // decrement `CNT` CNT <=X= CNT - 1; // get the square and the double of `A` A, B <== square_and_double(A); // jump back to `start` jmp start; end: // check that `A == ((2**2)**2)**2` assert_zero A - ((2**2)**2)**2; // check that `B == ((2**2)**2)*2` assert_zero B - ((2**2)**2)*2; return; } // some superpowers on `X` to allow us to check if it's 0 col witness XInv; col witness XIsZero; XIsZero = 1 - X * XInv; XIsZero * X = 0; XIsZero * (1 - XIsZero) = 0;\n}","breadcrumbs":"asm » Functions » Functions","id":"44","title":"Functions"},"45":{"body":"Function inputs and outputs are not supported yet","breadcrumbs":"asm » Functions » Function inputs and outputs","id":"45","title":"Function inputs and outputs"},"46":{"body":"","breadcrumbs":"asm » Functions » Statements","id":"46","title":"Statements"},"47":{"body":"Labels allow referring to a location in a function by name. start:","breadcrumbs":"asm » Functions » Labels","id":"47","title":"Labels"},"48":{"body":"Assignments allow setting the values of some write registers to the values of some expressions expression using assignment registers. CNT <=X= 3; If the right-hand side of the assignment is an instruction, assignment registers can be inferred and are optional: A, B <== square_and_double(A); This will be inferred to be the same as A, B <=Y, Z= square_and_double(A); from the definition of the instruction: instr square_and_double X -> Y, Z { Y = X * X, Z = 2 * X }","breadcrumbs":"asm » Functions » Assignments","id":"48","title":"Assignments"},"49":{"body":"Instructions which do not return outputs can be used as statements. assert_zero A - ((2**2)**2)**2;","breadcrumbs":"asm » Functions » Instructions","id":"49","title":"Instructions"},"5":{"body":"First, create a new powdrVM project with cargo-powdr new my-host Your new crate my-host is the host of the virtual machine's execution, and is responsible for preparing data and running the prover. The guest crate in your new project contains the Rust code whose execution will be proven. Most of these details are abstracted by the powdr library. Now that your project is set up, just run cargo run -r The host manages a powdr::Session which can be used to share data with the guest, test the execution, and generate ZK proofs. use powdr::Session; fn main() { env_logger::init(); let some_data = vec![1, 2, 3, 4, 5]; // Create a new powdr session to make proofs for the `guest` crate. // Store all temporary and final artifacts in `powdr-target`. let mut session = Session::builder() .guest_path(\"./guest\") .out_path(\"powdr-target\") // powdrVM splits long execution traces into chunks // which are proven individually. // The default size of a chunk is 2^20 = 1048576 rows. // For experiments and smaller traces/proofs, it may be beneficial to reduce the chunk size. // Create a new powdr session with a custom chunk size. // 2^18 = 262144 rows per chunk. .chunk_size_log2(18) .build() // Write `some_data` to channel 1 and the sum of `some_data` to channel 2. // Any serde-serializable type can be written to a channel. .write(1, &some_data) .write(2, &some_data.iter().sum::()); // Fast dry run to test execution. session.run(); // Uncomment to compute the proof. //session.prove();\n} The guest contains the custom logic that should be proved. use powdr_riscv_runtime;\nuse powdr_riscv_runtime::io::read; fn main() { // Any serde-deserializable type can be read from a channel. // Read some data from channel 1. let data: Vec = read(1); // Read the claimed sum from channel 2. let sum: u32 = read(2); // Check that the claimed sum is correct. assert_eq!(data.iter().sum::(), sum);\n}","breadcrumbs":"Quick Start » Quick Start","id":"5","title":"Quick Start"},"50":{"body":"","breadcrumbs":"asm » Expressions » Expressions","id":"50","title":"Expressions"},"51":{"body":"Field element literals are signed elements of the prime field. CNT <=X= 3;","breadcrumbs":"asm » Expressions » Field element literals","id":"51","title":"Field element literals"},"52":{"body":"Registers can be used as expressions, with the exception of assignment registers. CNT <=X= CNT - 1;","breadcrumbs":"asm » Expressions » Registers and columns","id":"52","title":"Registers and columns"},"53":{"body":"Instructions which return outputs can be used as expressions. A, B <== square_and_double(A);","breadcrumbs":"asm » Expressions » Instructions","id":"53","title":"Instructions"},"54":{"body":"Instructions are declared as part of a powdr virtual machine. Once defined, they can be called by any function in this machine. An instruction is composed of: a name a set of inputs ( assignment registers or labels) a set of outputs (assignment registers) a set of powdr-pil constraints to activate when the instruction is called a set of links calling into functions/operations in submachines","breadcrumbs":"asm » Instructions » Instructions","id":"54","title":"Instructions"},"55":{"body":"A local instruction is the simplest type of instruction. It is called local because its behavior is defined by a set of constraints over registers and columns of the machine it is defined in. instr add X, Y -> Z { X + Y = Z\n}","breadcrumbs":"asm » Instructions » Local instructions","id":"55","title":"Local instructions"},"56":{"body":"Instructions may also delegate all or part of their implementation to functions/operations in submachines. Each link in an instruction defines the inputs and outputs of a call to a specific function/operation in a submachine. Assume we have a submachine with a single operation add: machine SubMachine with degree: 32, latch: latch, operation_id: operation_id\n{ col witness operation_id; col fixed latch = [1]*; operation add<0> x, y -> z; col witness x; col witness y; col witness z; z = y + x;\n} An instruction calling into this operation can be declared as follows: SubMachine submachine; instr add X, Y -> Z link => Z = submachine.add(X, Y); // - trivial usage: only instruction inputs/outputs used in the call In the previous example, only assignment registers (instruction inputs and outputs) were used to call the submachine. The following example shows more complex usage of link calls: machine Main with degree: 32 { reg pc[@pc]; reg X[<=]; reg Y[<=]; reg Z[<=]; reg A; reg B; reg C; SubMachine submachine; instr add X, Y -> Z link => Z = submachine.add(X, Y); // - trivial usage: only instruction inputs/outputs used in the call instr add_to_A X, Y link => A' = submachine.add(X, Y);// - output to a regular register instr addAB -> X link => X = submachine.add(A, B); // - inputs from regular registers instr addAB_to_C link => C' = submachine.add(A, B); // - inputs and output from regular registers instr addAB_to_A link => A' = submachine.add(A, B); // - reusing an input register as output instr sub X, Y -> Z link => X = submachine.add(Y, Z); // - swapping input/output // expressions can also be used as call parameters instr add5 X -> Z link => Z = submachine.add(X, 3+2); // - literal expression as argument col fixed STEP(i) { i }; instr add_current_time_step X -> Z link => Z = submachine.add(X, STEP);// - machine columns can be referenced let arr = [1,2,3,4,5]; // - functions can be used instr add_arr_sum X -> Z link => Z = submachine.add(X, std::array::sum(arr)); instr assert_eq X, Y { X = Y } function main { A <== add(2, 3); assert_eq A, 5; add_to_A 6, 7; assert_eq A, 13; A <== sub(6, 5); assert_eq A, 1; B <=X= 20; C <== addAB(); assert_eq C, 21; A <=X= 2; B <=X= 3; addAB_to_C; assert_eq C, 5; A <=X= 33; B <=X= 44; addAB_to_A; assert_eq A, 77; A <== add5(2); assert_eq A, 7; A <== add_arr_sum(3); assert_eq A, 18; // Note that the result of this operation depends on when it executed (STEP column) A <== add_current_time_step(42); B <== add_current_time_step(42); assert_eq B - A, 1; return; }\n} A single instruction can activate multiple links, and may also include a set of constraints. Furthermore, each link can be activated conditionally, based on a given boolean flag: machine Main with degree: 16 { reg pc[@pc]; reg X[<=]; reg Y[<=]; reg Z[<=]; reg W[<=]; reg A; col witness B; col witness C; SubMachine submachine; // multiple links can be activated by a single instruction, // witness columns can be used for temporary values, // and additional constraints can be used instr double_then_mul X, Y -> Z link => B = submachine.add(X, X) link => C = submachine.add(Y, Y) { Z = B * C } // links activated conditional on a boolean flag instr add_or_sub W, X, Y -> Z link if W => Z = submachine.add(X, Y) link if (1 - W) => Z = submachine.sub(X, Y); instr assert_eq X, Y { X = Y } function main { A <== double_then_mul(3, 2); assert_eq A, 24; A <== add_or_sub(1, 3, 2); assert_eq A, 5; A <== add_or_sub(0, 3, 2); assert_eq A, 1; return; }\n} Note that links cannot currently call functions from the same machine: they delegate computation to a submachine.","breadcrumbs":"asm » Instructions » Instructions with links","id":"56","title":"Instructions with links"},"57":{"body":"Operations enable a constrained machine to expose behavior to the outside. If a machine has a single operation, it can simply be declared with its name and parameters: machine Add with degree: 32, latch: latch\n{ // operation name, with column names as inputs and outputs operation add a, b -> c; col fixed latch = [1]*; col witness a; col witness b; col witness c; // constraint \"implementing\" the operation c = a + b;\n} The parameters of the operation (inputs and outputs) must be columns declared in the machine. If a machine exposes more than one operation, the machine itself needs an operation id column (op_id in the following). Then, each operation needs to be declared with its own unique operation id: // machine declaration must include an operation id column name\nmachine AddSub with degree: 32, latch: latch, operation_id: op_id\n{ // each operation has its own unique operation id operation add<0> a, b -> c; operation sub<1> a, b -> c; col fixed latch = [1]*; // it also needs to be declared as a column col witness op_id; col witness a; col witness b; col witness c; // constraint \"implementing\" both operations, depending on `op_id` c = (1 - op_id) * (a + b) + op_id * (a - b);\n} The actual behavior of an operation is defined by the machine constraints on the columns used as inputs and outputs.","breadcrumbs":"asm » Operations » Operations","id":"57","title":"Operations"},"58":{"body":"Links enable a constrained machine to call into another machine. They are defined by a call to an operation, where inputs and outputs are expressions. An optional boolean flag restricts the rows in which the link is active. Links without a boolean flag are active in every row. machine Add4 with degree: 32, latch: latch, operation_id: operation_id\n{ Add adder; operation add4<0> x, y, z, w -> r; // Links without a flag are active on every row. // - constrain the values of `x`, `y`, and `n` so that `n = adder.add(x, y)` link => n = adder.add(x, y); // - constrain the values of `z`, `w`, and `m` so that `m = adder.add(z, w)` link => m = adder.add(z, w); // - constrain the values of `m`, `n` and `r` so that `r = adder.add(m,n)` link => r = adder.add(m, n); col fixed operation_id = [0]*; col fixed latch = [1]*; col witness x; col witness y; col witness z; col witness w; col witness r; col witness m; col witness n;\n} machine Add with degree: 32, latch: latch\n{ // operation name, with column names as inputs and outputs operation add a, b -> c; col fixed latch = [1]*; col witness a; col witness b; col witness c; // constraint \"implementing\" the operation c = a + b;\n} If a boolean flag is given, the link is only active in rows where the flag evaluates to 1. Whenever a link is active, the columns mapped as inputs and outputs are constrained by the operation implementation. The following example demonstrates how to use links with flags. col fixed odd_row = [0,1]*; link if odd_row => z = submachine.foo(x, y); // active on odd rows only\nlink if (1 - odd_row) => z = submachine.bar(x, y); // active on even rows only","breadcrumbs":"asm » Links » Links","id":"58","title":"Links"},"59":{"body":"powdr-pil is the lower level of abstraction in powdr. It is strongly inspired by Polygon zkEVM PIL . We refer to the Polygon zkEVM PIL documentation and document deviations from the original design here.","breadcrumbs":"pil » PIL","id":"59","title":"PIL"},"6":{"body":"powdr is a modular compiler stack to build zkVMs. It is ideal for implementing existing VMs and experimenting with new designs with minimal boilerplate. Domain specific languages are used to specify the VM and its underlying constraints, not low level Rust code Automated witness generation Support for multiple provers as well as aggregation schemes Support for hand-optimized co-processors when performance is critical Built in Rust 🦀","breadcrumbs":"Introduction » Introduction","id":"6","title":"Introduction"},"60":{"body":"Powdr-pil allows the same syntax to declare various kinds of symbols. This includes constants, fixed columns, witness columns and even higher-order functions. It deduces the symbol kind from the type of the symbol and the way the symbol is used. Symbols can be declared using let ; and they can be declared and defined using let = ;, where is an expression. The type of the symbol can be explicitly specified using let : ; and let : = ;. Symbols with a generic type can be defined using let : = ;, where the TV are newly created type variables that can be used in the type. This syntax can be used for constants, fixed columns, witness columns and even (higher-order) functions that can transform expressions. The kind of symbol is deduced by its type and whether it is has a value: Symbols without a value are witness columns or arrays of witness columns. Their type can be omitted. If it is given, it must be col or col[k]. Symbols defined with a value and type col (or col[k]) are fixed columns (or arrays of fixed columns). Symbols defined with a value and type inter (or inter[k]) are intermediate columns (or arrays of intermediate columns). Everything else is a \"generic symbol\" that is not a column. Examples: // This defines a integer constant. We can omit the type when it is used // somewhere that constrains its type. Since it is not used below, // we have to specify `: int` (another option would be `fe`, field element). let rows: int = 16; // This defines a fixed column that contains the row number in each row. // Only symbols whose type is \"col\" are considered fixed columns. let step: col = |i| i; // Here, we have a witness column, the do not need an explicit `: col`. let x; // This functions defines a fixed column where each cell contains the // square of its row number. let square: col = |x| x*x; // This is a generic function that computes the sum of an array // given its length. // It is not stored as a column. // If it is used in a constraint, it has to be evaulated, while // columns must be used symbolically. let sum: T[], int -> T = |a, len| match len { 0 => 0, _ => sum(a, len - 1) + a[len - 1], }; // This is a constraint that uses the `sum` function: sum([x, step], 2) = 0; Name lookup is performed as follows: Lookup is performed starting from the current namespace, going up to the root component by component where the first match is used. If all lookups fail, a last attempt is done inside the std::prelude namespace.","breadcrumbs":"pil » Declarations » Declarations","id":"60","title":"Declarations"},"61":{"body":"Depending on the context, powdr allows more or less features for expressions. Inside values for declarations, you can use a very flexible language which includes many different operators, function calls, lambda functions, tuple types, statement blocks, match statements and others. In statements and expressions that are required to evaluate to constraints / polynomial identities, only a much more restrictive language can be used. Expressions in that language are called Algebraic Expressions. While you can use the full language everywhere, in the context of a constraint, the result after function evaluation and constant propagation has to be an algebraic expression.","breadcrumbs":"pil » Expressions » Expressions","id":"61","title":"Expressions"},"62":{"body":"The expression language allows the following operators, in order of increased precedence: lambda functions: |params| body. Examples: |i| i (the identity), |a, b| a + b (sum) || - logical or && - logical and <, <=, ==, !=, >=, > - comparisons and = - identity operator | - bitwise or ^ - bitwise xor & - bitwise and <<, >> - left and right shift +, - - addition and subtraction (binary operator) *, /, % - multiplication, division and modulo ** - exponentiation -, ! - numerical and logical negation (unary operators, prefix) ' - \"next row\" operator (suffix) [], () - array index access and function calls Elementary expressions are number literals (integers) string literals, written in double quotes, e.g. \"hello\" array literals written in square brackets, e.g. [1, 2, 3] tuples, having at least two elements, e.g. (1, \"abc\") statement blocks (see below) match expressions (see below). if expressions (see below). Parentheses are allowed at any point to force precedence.","breadcrumbs":"pil » Expressions » Generic Expressions","id":"62","title":"Generic Expressions"},"63":{"body":"The only way to declare a function in pil is by assigning a lambda function to a symbol. Example: let x = |i| i + 1; If you want to specify the types of parameters or return values explicitly, you have to do it on the symbol, you cannot do it on the parameters: let x: int -> int = |i| i + 1; It is possible to use patterns in the function parameters: let y: (int, int), int -> int = |(i, j), _| i + j; If you use patterns, they have to be irrefutable, which means that the pattern has to be able to match any value of the given type.","breadcrumbs":"pil » Expressions » Lambda Functions","id":"63","title":"Lambda Functions"},"64":{"body":"A {-}-delimited block can be used everywhere where an expression is expected. It has the form { ; ; ... ; }, i.e. a sequence of statements followed by an expression. The statements can either be expressions (f();, only inside constr-functions ) or let statements: let x = ...; / let x; The value of the statement block is the value of the final expression. Example: let plus_one_squared = |x| { let y = x + 1; y * y }; Let statements with value can be used everywhere, they just bind an expression to a local variable and allow to avoid repeating the expression. You can use patterns for the left hand side of let statements to destructure values. Example: let f = |i| (i / 2, i % 2);\nlet (quot, rem) = f(7); The second let statement will create two local variables x and y. You can also ignore values using the _ pattern element. For details, please see the patterns section. Let statements without value (let x;) create a new witness column and are only allowed inside constr-functions . Similarly, an expression at statement level (e.g. x * (x - 1) = 0;) can be used to create new constraints that are added to the global constraint set and this can only be done inside a constr-functions . Note that you can always create constraints and return them from a function, even in pure function . Example: let constrain_to_bool: expr -> Constr = |x| x * (x - 1) = 0;","breadcrumbs":"pil » Expressions » Statement Blocks","id":"64","title":"Statement Blocks"},"65":{"body":"Match expressions take the form match { => , => , _ => }, with an arbitrary number of match arms. The semantics are that the first match arm where the pattern equals the value after the match keyword is evaluated. Patterns can be used to destructure more complex data types and to capture values inside new local variables. For more details, please see the patterns section. Example: let fib = |i| match i { 0 => 1, 1 => 1, _ => fib(i - 2) + fib(i - 1),\n};","breadcrumbs":"pil » Expressions » Match Expressions","id":"65","title":"Match Expressions"},"66":{"body":"If expressions take the form if { } else { }, where the \"else\" part is not optional. If the condition evaluates to true, then is evaluated, otherwise is. Example: let is_seven = |i| if i == 7 { 1 } else { 0 };","breadcrumbs":"pil » Expressions » If Expressions","id":"66","title":"If Expressions"},"67":{"body":"For constraints (or functions called at a place where a constraint is expected), the expression syntax is limited: After evaluating function calls and performing constant propagation, the resulting expression has to be an \"algebraic expression\". These are restricted in the following way: You can freely use the operators +, -,*. The operator ** must have a number as exponent. The operator [i] must have a column name on the left-hand side and the index must be a number. The operator ' must have a column or [i] on the left-hand-side. No other operators are allowed. Arbitrary parentheses are allowed. The following example illustrates how you can still use the generic language: namespace Main(16); // Returns folder(...folder(folder(0, f(0)), f(1)) ..., f(length - 1)) // This is a generic function. let fold: int, (int -> T1), T2, (T2, T1 -> T2) -> T2 = |length, f, initial, folder| match length { 0 => initial, _ => folder(fold(length - 1, f, initial, folder), f(length - 1)) }; // returns f(0) + f(1) + ... + f(length - 1) let sum = |length, f| fold(length, f, 0, |acc, e| acc + e); // This function takes an algebraic expression (a column or expression // involving columns) and returns an identity that forces this expression // to equal 20. Note that `=` is not an assignment but creates an identity constraint. let equals_twenty: expr -> Constr = |x| x = 20; // This declares an array of 16 witness columns. col witness wit[16]; // This expression has to evaluate to an identity, but we can still use // higher order functions and all the flexibility of the language. // The sub-expression `sum(16, |i| wit[i])` evaluates to the algebraic // expression \"wit[0] + wit[1] + ... + wit[15]\", which is then // turned into the identity by `equals_twenty` // wit[0] + wit[1] + ... + wit[15] = 20. equals_twenty(sum(16, |i| wit[i])); // We constrained the sum to equal twenty, but there is no unique solution // to that constraint. In order to fully constrain the system, we need to // add something more: The first fifteen columns should all be one. // returns [f(0), f(1), ..., f(length - 1)] let make_array = |length, f| fold(length, f, [], |acc, e| acc + [e]); // If an expression evaluates to an array of constraints, all the // constraints in the array are added to the system. make_array(15, |i| wit[i] = 1);","breadcrumbs":"pil » Expressions » Algebraic Expressions","id":"67","title":"Algebraic Expressions"},"68":{"body":"Every function in PIL is either a pure, a constr or a query function. They are denoted by |...| ... constr |...| ... query |...| ... Inside constr functions, it is possible to create new witness columns and add constraints to the set of constraints (see the Statement Blocks section for details). Inside query functions, it is possible to evaluate the value of a column on the \"current\" row using the std::prover::eval function. Both actions require a certain context to be available, which is not the case for example when the values of a fixed column are computed. A query function can only be used in the query or hint part of a witness column while constr functions can only be evaluated in the constraint part of a namespace or machine. You can define and call new constr functions inside a constr function and you can call and define new query functions inside query functions, but as soon as you enter a pure function, this is not possible any more. Examples: // This function creates and returns a new witness column.\nlet new_wit = constr || { let x; x };\n// Queries the current value of a column and returns its square.\nlet square_of = query |x| { let v = std::prover::eval(x); v * v };\n// Creates a new witness column, constrains it to be boolean and returns it.\nlet new_bool = constr |x| { let x = new_wit(); x * (x - 1) = 0; x };\n// This is a pure function that only returns a constraint, but does not add it\n// to the global set of constraints.\nlet bool_constraint: expr -> Constr = |x| x * (x - 1) = 0;","breadcrumbs":"pil » Expressions » Constr and Query Functions","id":"68","title":"Constr and Query Functions"},"69":{"body":"Patterns are a way to destructure or match certain values. They are valid in match arms, function parameters or left hand sides of let statements in blocks. A pattern is built up in from the following components: _ - the \"catch all\" pattern that matches anything x - for an identifier x, matches anything and assigns the value to the new local variable of that name k - for a literal number k, matches the exact number, either as an int or a fe -k - for a literal number k, matches the exact negated number, either as an int or a fe \"text\" - for a string literal, matches the exact string literal as a string (a, b, c) - for a tuple, matches a tuple-typed value if all the components match [a, b, c] - for an array, matches array values of exactly the same length if all the components match [a, .., b, c] - matches an array that has an initial segment of a and ends in b, c. The omitted part can be empty. X::Y(a, b) - for an enum variant X::Y, matches that enum variant if all the enum fields match. Patterns can be nested, which means that the components of tuple and array patterns are themselves patterns. Some examples: // This pattern de-structures the first function parameter.\nlet f: (int, int), int -> int = |(a, b), c| (a + c, b);\n// Matches a tuple, ignores the second component.\nlet (x, _) = f((6, 7), 3);\n// The match statement typically uses patterns to check for certain values\n// but it can also destructure and create new local variables valid inside\n// the match arm.\nlet t = match (x, f((1, x), 2)) { (0, _) => 0, (1, _) => 7, (_, y) => y, _ => 9\n};\nlet head: int[] -> int = |x| match x { // Matches the first element of a non-empty array and binds it to a local variable. [a, ..] => a, [] => std::check::panic(\"Called 'head' on empty array.\"),\n}; Note that PIL does not check that patterns in a match expression are exhaustive.","breadcrumbs":"pil » Patterns » Patterns","id":"69","title":"Patterns"},"7":{"body":"powdr is free and open source. You can find the source code on GitHub . Issues and feature requests can be posted on the GitHub issue tracker .","breadcrumbs":"Introduction » Contributing","id":"7","title":"Contributing"},"70":{"body":"A pattern is refutable if there is a value of the correct type that the pattern does not match. An example is the pattern 7 since it does not match all integers, or the patten [x, ..], because it does not match the empty array. Refutable patterns are fine in match arms, because if the pattern does not match, the evaluator will just continue trying the next match arm, but they are disallowed in let statements and in function parameters, because there we do not have the option of \"trying the next arm\". Example: let f: int -> int[] = |i| match i { // This is a refutable pattern, but it is fine // because we will try the next match arm. 0 => [], _ => f(i - 1) + [i],\n};\n// This pattern does not match all `int[]`, because it requires a length\n// of at least one.\nlet [x, ..] = f(8); The following patterns are refutable: all integer literal patterns all string literal patterns enum variant patterns tuple patterns that have refutable components array patterns that are not [..]. Variable patterns and _ are always irrefutable.","breadcrumbs":"pil » Patterns » (Ir-)refutability","id":"70","title":"(Ir-)refutability"},"71":{"body":"The powdr-pil language has the following types: bool int (integer) fe (field element) string tuple array function type expr (expression) ! (\"bottom\" or \"unreachable\" type) enum types In addition, there are the col and inter types, but they are special in that they are only used for declaring columns, but cannot appear as the type of an expression. See Declaring and Referencing Columns for details. Powdr-pil performs Hindley-Milner type inference. This means that, similar to Rust, the type of a symbol does not always have to be specified. The compiler will try to find a type for every symbol depending both on the value assigned to the symbol and on the context the symbol is used in. It is an error if the type is not uniquely determined. Symbols can have a generic type, but in those cases, you have to explicitly specify the generic type. Such declarations can require type variables to satisfy certain trait bounds. Currently, only built-in traits are supported (see the next section). Literal numbers do not have a specific type, they can be either int, fe or expr (the types that implement the FromLiteral trait), and their type can also stay generic until evaluation.","breadcrumbs":"pil » Types » Types","id":"71","title":"Types"},"72":{"body":"The following snippet defines a function that takes a value of a generic type and returns the value incremented by one. The type bounds on the generic type are FromLiteral and Add. The type checker will complain if we do not specify the type bounds. The bound Add is required because we use the + operator in the function and FromLiteral is needed because we use the literal 1 as a value of that type. let add_one: T -> T = |i| i + 1;","breadcrumbs":"pil » Types » Example","id":"72","title":"Example"},"73":{"body":"A symbol declared to have type col or inter (or col[k] / inter[k]) is a bit special: These symbols represent columns in the arithmetization and the types of values that can be assigned to such symbols and the references to the symbols are different from their declared type. If you assign a value to a col symbol, that value is expected to have type int -> fe or int -> int (or an array thereof). This allows the simple declaration of a fixed column let byte: col = |i| i & 0xff; without complicated conversions. The integer value is converted to a field element during evaluation, but it has to be non-negative and less than the field modulus. Symbols of declared type col are fixed (those with value) or witness columns (those without value). A symbol of declared type inter is an intermediate column. You can assign it a value of type expr. The idea of an intermediate column is that it is an algebraic expression of other columns that you do not want to compute multiple times. Note that if you use let x: expr = a * b;, the symbol x is just a name in the PIL environment, this will not create an intermediate column. The difference between inter and expr in this case is that if you use let x: inter = ..., the expression might not be inlined into constraints (depending on the backend), while if you use let x: expr = ..., it will always be inlined. If you reference a symbol of declared type inter or col, the type of the reference is expr (or expr[]). A byte constraint is as easy as [ X ] in [ byte ], since the expected types in plookup columns is expr. The downside is that you cannot evaluate columns as functions. If you want to do that, you either have to assign a copy to an int -> int symbol: let byte_f: int -> int = |i| i & 0xff; let byte: col = byte_f;. Or you can use the built-in function std::prover::eval if you want to do that inside a prover query or hint. All other symbols use their declared type both for their value and for references to these symbols.","breadcrumbs":"pil » Types » Declaring and Referencing Columns","id":"73","title":"Declaring and Referencing Columns"},"74":{"body":"FromLiteral: Implemented by int, fe, expr. The type of a number literal needs to implement FromLiteral. Add: Implemented by int, fe, expr, T[], string. Used by +: T, T -> T (binary plus). Sub: Implemented by int, fe, expr. Used by -: T, T -> T (binary minus). Neg: Implemented by int, fe, expr. Used by -: T -> T (unary minus). Mul: Implemented by int, fe, expr. Used by *: T, T -> T (binary multiplication). Pow: Implemented by int, fe, expr, Used by **: T, int -> T (exponentiation). Ord: Implemented by int. Used by op: T, T, -> bool for op being one of <, >, <=, >=. Eq: Implemented by int, fe, expr. Used by op: T, T -> bool for op being one of ==, !=.","breadcrumbs":"pil » Types » Built-in Traits","id":"74","title":"Built-in Traits"},"75":{"body":"","breadcrumbs":"pil » Types » List of Types","id":"75","title":"List of Types"},"76":{"body":"Type name: bool Booleans are the results of comparisons. They allow the following operators: &&: logical conjunction ||: logical disjunction !: logical negation Short-circuiting is not performed when evaluating boolean operators. This means that (1 == 1) || std::check::panic(\"reason\") will cause a panic abort.","breadcrumbs":"pil » Types » Bool","id":"76","title":"Bool"},"77":{"body":"Type name: int Integers in powdr-pil have unlimited size. Array index requires an integer and row indices (for example the input to a fixed column defined through a function) are also integers. Integer implements FromLiteral, which means that literal numbers can be used in contexts where int is expected. Integers allow the following operators, whose result is always an integer: +: addition -: subtraction (also unary negation) *: multiplication /: integer division rounding towards zero, division by zero results in a runtime error **: exponentiation, the exponent needs to be non-negative and fit 32 bits, otherwise a runtime error is triggered %: remainder after division, (for signed arguments, p % q == sgn(p) * abs(p) % abs(q)), remainder by zero results in a runtime error &: bit-wise conjunction |: bit-wise disjunction ^: bit-wise exclusive or <<: bit-wise shift left, the shift amount needs to be non-negative and fit 32 bits, otherwise a runtime error is triggered >>: bit-wise shift right, the shift amount needs to be non-negative and fit 32 bits, otherwise a runtime error is triggered The exponentiation operator on field elements requires a non-negative integer as exponent. It has the signature **: fe, int -> fe. In addition, the following comparison operators are allowed, the result is a boolean: <: less than <=: less or equal ==: equal !=: not equal >=: greater or equal >: greater than","breadcrumbs":"pil » Types » Integer","id":"77","title":"Integer"},"78":{"body":"Type name: fe Field elements are elements of a particular but unspecified prime field. The exact field is chosen when powdr is run. The modulus of that field can be accessed via std::field::modulus(). Field elements are the values stored in (fixed and witness) columns. Arithmetic inside constraints (algebraic expressions) is also always finite field arithmetic. The type fe implements FromLiteral, which means that literal numbers can be used in contexts where fe is expected. If the literal number is not less than the field modulus, a runtime error is caused. Field elements allow the following operators, where the result is always a field element: +: finite field addition -: finite field subtraction (also unary negation) *: finite field multiplication There is also an exponentiation operator ** on field elements. It requires the exponent to be a non-negative integer and thus has the signature **: fe, int -> fe. If the exponent is negative, a runtime error is triggered. 0**0 is defined as 1. The following comparison operators exist for field elements, whose result is a boolean: ==: equality comparison !=: inequality comparison Since finite fields do not have an inherent order as integers do, if you want to compare them using <, you have to first convert them to integers.","breadcrumbs":"pil » Types » Field Element","id":"78","title":"Field Element"},"79":{"body":"Type name: string String literals are written as \"string content\". They are mainly used for debugging or documentation purposes, since they cannot occur in constraints. They allow the following operators: +: string concatenation","breadcrumbs":"pil » Types » String","id":"79","title":"String"},"8":{"body":"The powdr source and documentation are released under the MIT License .","breadcrumbs":"Introduction » License","id":"8","title":"License"},"80":{"body":"Type name: (..., ..., ...) Tuples are complex types that are composed from other types, either zero or two or more. There is no tuple type with a single element ((int) is the same as int). The empty tuple type is written as (). Examples include (int, int) (a pair of integers) and ((fe[], int), ()) (a tuple consisting of a tuple that contains an array of field elements and an integer and an empty tuple). Tuples values are constructed using parentheses: (1, 2) constructs the tuple that consists of a one and a two. Tuples do not allow any operators.","breadcrumbs":"pil » Types » Tuple","id":"80","title":"Tuple"},"81":{"body":"Type name: _[] Arrays are statically or dynamically-sized collections of elements each of the same type denoted for example as int[] (a dynamically-sized array of integers) or int[2] (an array of integers with static size two). Array values can be constructed inline using [1, 2] (the array containing the two elements one and two). The built-in function std::array::len can be used to retrieve the length of an array (statically or dynamically sized) and the elements of an array a can be accessed using a[0], a[1], etc. The type checker currently only knows dynamically-sized arrays, which means that it does not compare the sizes of statically-sized array types. Arrays allow the following operators: +: array concatenation _[]: array index access, the index needs to be a non-negative integer that is less than the length of the array, otherwise a runtime error is triggered","breadcrumbs":"pil » Types » Array","id":"81","title":"Array"},"82":{"body":"Type name: T1, T2, ..., Tn -> T0 Function type names are for example denoted as int, fe -> int or -> int. Note that (int, fe) -> int is a function that takes a single tuple as parameter while int, fe -> int takes two parameters of type integer and field element. Functions can be constructed using the lambda expression notation. For example |x, y| x + y returns a function that performs addition. The lambda expression || 7 is a function that returns a constant (has no parameters). Lambda functions can capture anything in their environment and thus form closures. Functions allow the following operators: _(...): function evaluation Powdr-pil is usually side-effect free, but there are some built-in functions that have side-effects: These are std::debug::print and std::check::panic and all functions that call them. Expressions are eagerly evaluated from left to right.","breadcrumbs":"pil » Types » Function","id":"82","title":"Function"},"83":{"body":"Type name: expr Expressions are the elements of the algebraic expressions used in constraints. References to columns have type expr and expr also implements FromLiteral, which means that literal numbers can be used in contexts where expr is expected. Example: let x: col;\nlet y: col;\nlet f: -> expr = || x + y;\nlet g = || 7;\nf() = g(); The first two lines define the witness columns x and y. The next two lines define the utility functions f and g. The function f adds the two columns x and y symbolically - it essentially returns the expression x + y. The last line is at statement level and it is expected that it evaluates to a constraint, in this case, a polynomial identity. Because of that, g is inferred to have type -> expr, which is compatible with the literal 7. Since expressions are built from abstract column references, applying operators does not perform any operations but instead constructs an abstract expression structure / syntax tree. Expressions allow the following operators, which always construct new expressions: +: additive combination of expressions -: subtractive combination of expressions (also unary negation) *: multiplicative combination of expressions **: exponential combination of an expression with an integer constant ': reference to the next row of a column, can only be applied directly to columns and only once The operator = on expressions constructs a constraint (see [../builtins#Constr]).","breadcrumbs":"pil » Types » Expression","id":"83","title":"Expression"},"84":{"body":"Type name: ! The bottom type essentially is the return type of a function that never returns, which currently only happens if you call the panic function. The bottom type is compatible with any other type, which means that you can call the panic function in any context.","breadcrumbs":"pil » Types » Bottom Type","id":"84","title":"Bottom Type"},"85":{"body":"Enums are user-defined types that can hold different named alternatives plus data. An enum type has a (namespaced) name that uniquely identifies it and is also used to reference the type. Enums are declared in the following way: enum EnumName { Variant1, Variant2(), Variant3(int), Variant4(int, int[], EnumName),\n} The variants must have unique names inside the enum and they can optionally take additional data. Each variant declares a type constructor function that can be used to create a value of the enum: let a = EnumName::Variant1;\nlet b = EnumName::Variant2();\nlet c = EnumName::Variant3(3);\nlet d = EnumName::Variant4(1, [2, 3], EnumName::Variant1); Recursive enums are allowed. Enums do not allow any operators.","breadcrumbs":"pil » Types » Enum Types","id":"85","title":"Enum Types"},"86":{"body":"powdr-pil requires the definition of fixed columns at the time of declaration. For example: col fixed ONES = [1]*; // this is valid\n// col fixed ONES; // this is invalid A number of mechanisms are supported to declare fixed columns. Let N be the total length of the column we're defining.","breadcrumbs":"pil » Fixed Columns » Fixed columns","id":"86","title":"Fixed columns"},"87":{"body":"powdr-pil supports a basic language to define the value of constant columns using: arrays, for example [1, 2, 3] repetition, for example [1, 2]* concatenation, for example [1, 2] + [3, 4] These mechanisms can be combined, as long as a single repetition is used per column definition. // valid, as for a given total length, only one column fits this definition for a given `N`\ncol fixed A = [1, 2] + [3, 4]* + [5]; // invalid, as many columns fit this definition\n// col fixed A = [1, 2]* + [3, 4]*","breadcrumbs":"pil » Fixed Columns » Values with repetitions","id":"87","title":"Values with repetitions"},"88":{"body":"A column can be seen as a mapping from integers to field elements. In this context, different functions are supported: col fixed B(i) { i + 1 }; col fixed C(i) {match i { 0 => 1, _ => 0\n}};","breadcrumbs":"pil » Fixed Columns » Mappings","id":"88","title":"Mappings"},"89":{"body":"","breadcrumbs":"pil » Built-in Functions » Built-ins","id":"89","title":"Built-ins"},"9":{"body":"The only way to install powdr currently is to build it from source. There are two binaries, powdr compiles powdr-asm files to powdr-PIL and generates witnesses and proofs. powdr-rs compiles Rust crates to powdr-asm via RISCV, and executes powdr-asm code with given inputs.","breadcrumbs":"Installation » Installation","id":"9","title":"Installation"},"90":{"body":"The following functions are built into the compiler. They need to be defined to be accessible, but their assigned value is ignored and the compiler replaces it with the following.","breadcrumbs":"pil » Built-in Functions » Functions","id":"90","title":"Functions"},"91":{"body":"let std::array::len: T[] -> int Returns the length of an array as an integer. Example: let x = [1, 2, 3];\nlet l = std::array::len(x); // returns 3","breadcrumbs":"pil » Built-in Functions » Array length","id":"91","title":"Array length"},"92":{"body":"let std::check::panic: string -> ! Aborts evaluation and prints its argument as error message as a side-effect of its evaluation. Since panic does not generate a constraint, it cannot be used for correctness checks. The verifier only checks constraints / identities and thus ignores anything that could lead to a panic. Panic should only be used to check prover-internal consistency. Example: let secp256k1_inverse = |x| if x == std::convert::fe(0) { panic!(\"Tried to compute the inverse of zero.\") } else { std::math::ff::inverse(x, secp256k1_modulus); };","breadcrumbs":"pil » Built-in Functions » Panic","id":"92","title":"Panic"},"93":{"body":"let std::convert::fe: T -> fe This function is meant to be used on int, but also works on fe for convenience. It converts a non-negative integer less than the field modulus to a field element. Causes a type error in all other cases. If the argument is already a field element, it is returned without modification. let std::convert::int: T -> int This function is meant to be used on fe, but also works on int for convenience. It converts a field element to an integer. If the argument is already an integer, it is returned without modification. let std::convert::expr: T -> expr This function is meant to be used on int, but also works on fe and expr for convenience. It converts an integer to an expr. If the argument is already an expr, it is returned without modification.","breadcrumbs":"pil » Built-in Functions » Conversions","id":"93","title":"Conversions"},"94":{"body":"let std::debug::print: string -> Constr[] This function takes a string and prints it on the standard output during evaluation, as a side-effect of its evaluation. This function should only be used for debugging purposes. Note that the function does not append a newline at the end. It returns an empty Constr array so that it can be used at statement level where constraints are expected.","breadcrumbs":"pil » Built-in Functions » Printing","id":"94","title":"Printing"},"95":{"body":"let std::field::modulus: -> int Returns the current field's modulus as an integer. Example: // Inside a machine\nif std::field::modulus() != 2**64 - 2**32 + 1 { panic!(\"This machine can only be used with the Goldilocks field.\")\n} else { []\n};","breadcrumbs":"pil » Built-in Functions » Modulus","id":"95","title":"Modulus"},"96":{"body":"let std::prover::eval: expr -> fe Evaluates a column (potentially with ' applied) on the current row. This function can only be used for prover queries or hints and it only works on columns (and those with ' applied). This means you cannot use std::prover::eval(x + 1). In the following example, the column x is evaluated in a prover hint that returns the square root of a number. Example: machine Sqrt { let sqrt_hint: fe -> fe = |x| match x { // Code to compute the square root of x goes here. }; col witness x; col witness y(i) query std::prelude::Query::Hint(sqrt_hint(std::prover::eval(x))); y * y = x; }}","breadcrumbs":"pil » Built-in Functions » Evaluate","id":"96","title":"Evaluate"},"97":{"body":"let std::prelude::challenge: int, int -> expr Constructs a challenge object, essentially asking the verifier for a random number. The first argument is the proof stage and the second is the identifier of the challenge. If you want two challenges to be different, you have to choose different IDs.","breadcrumbs":"pil » Built-in Functions » Challenges","id":"97","title":"Challenges"},"98":{"body":"let std::prover::min_degree: -> int\nlet std::prover::max_degree: -> int\nlet std::prover::degree: -> int The degree function returns the number of rows / the length of the witness columns, also known as the degree. Outside of fixed column definitions, degree fails if min_degree and max_degree are different.","breadcrumbs":"pil » Built-in Functions » Degree","id":"98","title":"Degree"},"99":{"body":"let std::prelude::set_hint: expr, (int -> std::prelude::Query) -> () This function can be used to set a \"query function\" for a witness column. Query functions are used during witness generation and allow witness column cells to receive a value even though they are not uniquely constrained by the constraints. The first argument must be a witness column and the function can only be called once per witness column.","breadcrumbs":"pil » Built-in Functions » 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    2. powdrVM
    3. Introduction
    5. Getting Started with powdrVM
    6. Installation
    7. Quick Start
    9. powdr SDK
    10. Introduction
    12. Getting Started with powdr SDK
    13. Installation
    14. Hello World
      1. in the CLI
      2. as a library
      3. verified on Ethereum
      4. verified on Ethereum with proof aggregation
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    17. Using publics
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      6. Built-in Functions
    25. Frontends
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        1. zk-Continuations
      3. Valida
      4. EVM
    27. Backends
      1. plonky3
      2. Halo2
      3. eSTARK
    29. Architecture
      1. Compiler
      2. Linker
    + + diff --git a/toc.js b/toc.js new file mode 100644 index 0000000000..ddd24ddff5 --- /dev/null +++ b/toc.js @@ -0,0 +1,70 @@ +// Populate the sidebar +// +// This is a script, and not included directly in the page, to control the total size of the book. +// The TOC contains an entry for each page, so if each page includes a copy of the TOC, +// the total size of the page becomes O(n**2). +class MDBookSidebarScrollbox extends HTMLElement { + constructor() { + super(); + } + connectedCallback() { + this.innerHTML = '
    2. powdrVM
    3. Introduction
    5. Getting Started with powdrVM
    6. Installation
    7. Quick Start
    9. powdr SDK
    10. Introduction
    12. Getting Started with powdr SDK
    13. Installation
    14. Hello World
      1. in the CLI
      2. as a library
      3. verified on Ethereum
      4. verified on Ethereum with proof aggregation
    16. Examples
    17. Using publics
    19. powdr SDK Reference Guide
    20. CLI
    21. asm
      1. Modules
      2. Declarations
      3. Machines
      4. Registers
      5. Functions
      6. Expressions
      7. Instructions
      8. Operations
      9. Links
    23. pil
      1. Declarations
      2. Expressions
      3. Patterns
      4. Types
      5. Fixed Columns
      6. Built-in Functions
    25. Frontends
      1. RISCV
        1. zk-Continuations
      3. Valida
      4. EVM
    27. Backends
      1. plonky3
      2. Halo2
      3. eSTARK
    29. Architecture
      1. Compiler
      2. Linker
    '; + // Set the current, active page, and reveal it if it's hidden + let current_page = document.location.href.toString(); + if (current_page.endsWith("/")) { + current_page += "index.html"; + } + var links = Array.prototype.slice.call(this.querySelectorAll("a")); + var l = links.length; + for (var i = 0; i < l; ++i) { + var link = links[i]; + var href = link.getAttribute("href"); + if (href && !href.startsWith("#") && !/^(?:[a-z+]+:)?\/\//.test(href)) { + link.href = path_to_root + href; + } + // The "index" page is supposed to alias the first chapter in the book. + if (link.href === current_page || (i === 0 && path_to_root === "" && current_page.endsWith("/index.html"))) { + link.classList.add("active"); + var parent = link.parentElement; + if (parent && parent.classList.contains("chapter-item")) { + parent.classList.add("expanded"); + } + while (parent) { + if (parent.tagName === "LI" && parent.previousElementSibling) { + if (parent.previousElementSibling.classList.contains("chapter-item")) { + parent.previousElementSibling.classList.add("expanded"); + } + } + parent = parent.parentElement; + } + } + } + // Track and set sidebar scroll position + this.addEventListener('click', function(e) { + if (e.target.tagName === 'A') { + sessionStorage.setItem('sidebar-scroll', this.scrollTop); + } + }, { passive: true }); + var sidebarScrollTop = sessionStorage.getItem('sidebar-scroll'); + sessionStorage.removeItem('sidebar-scroll'); + if (sidebarScrollTop) { + // preserve sidebar scroll position when navigating via links within sidebar + this.scrollTop = sidebarScrollTop; + } else { + // scroll sidebar to current active section when navigating via "next/previous chapter" buttons + var activeSection = document.querySelector('#sidebar .active'); + if (activeSection) { + activeSection.scrollIntoView({ block: 'center' }); + } + } + // Toggle buttons + var sidebarAnchorToggles = document.querySelectorAll('#sidebar a.toggle'); + function toggleSection(ev) { + ev.currentTarget.parentElement.classList.toggle('expanded'); + } + Array.from(sidebarAnchorToggles).forEach(function (el) { + el.addEventListener('click', toggleSection); + }); + } +} +window.customElements.define("mdbook-sidebar-scrollbox", MDBookSidebarScrollbox); diff --git a/tomorrow-night.css b/tomorrow-night.css new file mode 100644 index 0000000000..11752b8a8c --- /dev/null +++ b/tomorrow-night.css @@ -0,0 +1,104 @@ +/* Tomorrow Night Theme */ +/* https://github.com/jmblog/color-themes-for-highlightjs */ +/* Original theme - https://github.com/chriskempson/tomorrow-theme */ +/* https://github.com/jmblog/color-themes-for-highlightjs */ + +/* Tomorrow Comment */ +.hljs-comment { + color: #969896; +} + +/* Tomorrow Red */ +.hljs-variable, +.hljs-attribute, +.hljs-attr, +.hljs-tag, +.hljs-regexp, +.ruby .hljs-constant, +.xml .hljs-tag .hljs-title, +.xml .hljs-pi, +.xml .hljs-doctype, +.html .hljs-doctype, +.css .hljs-id, +.css .hljs-class, +.css .hljs-pseudo { + color: #cc6666; +} + +/* Tomorrow Orange */ +.hljs-number, +.hljs-preprocessor, +.hljs-pragma, +.hljs-built_in, +.hljs-literal, +.hljs-params, +.hljs-constant { + color: #de935f; +} + +/* Tomorrow Yellow */ +.ruby .hljs-class .hljs-title, +.css .hljs-rule .hljs-attribute { + color: #f0c674; +} + +/* Tomorrow Green */ +.hljs-string, +.hljs-value, +.hljs-inheritance, +.hljs-header, +.hljs-name, +.ruby .hljs-symbol, +.xml .hljs-cdata { + color: #b5bd68; +} + +/* Tomorrow Aqua */ +.hljs-title, +.hljs-section, +.css .hljs-hexcolor { + color: #8abeb7; +} + +/* Tomorrow Blue */ +.hljs-function, +.python .hljs-decorator, +.python .hljs-title, +.ruby .hljs-function .hljs-title, +.ruby .hljs-title .hljs-keyword, +.perl .hljs-sub, +.javascript .hljs-title, +.coffeescript .hljs-title { + color: #81a2be; +} + +/* Tomorrow Purple */ +.hljs-keyword, +.javascript .hljs-function { + color: #b294bb; +} + +.hljs { + display: block; + overflow-x: auto; + background: #1d1f21; + color: #c5c8c6; +} + +.coffeescript .javascript, +.javascript .xml, +.tex .hljs-formula, +.xml .javascript, +.xml .vbscript, +.xml .css, +.xml .hljs-cdata { + opacity: 0.5; +} + +.hljs-addition { + color: #718c00; +} + +.hljs-deletion { + color: #c82829; +}
    + + + + + + + + + + + + + +
    + +
    + + + + + + + + +
    +
    +

    EVM

    +

    An EVM frontend for powdr is under development. If you are interested, feel free to reach out!

    + +
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