diff --git a/.devcontainer/Dockerfile b/.devcontainer/Dockerfile
new file mode 100644
index 0000000..7ee8d0b
--- /dev/null
+++ b/.devcontainer/Dockerfile
@@ -0,0 +1,23 @@
+# syntax=docker/dockerfile:1
+
+# Copyright (c) Pedersen authors.
+#
+# Use of this source code is governed by an MIT-style
+# license that can be found in the LICENSE file or at
+# https://opensource.org/licenses/MIT.
+
+ARG GO_VARIANT=1.17-alpine
+
+FROM golang:${GO_VARIANT}
+
+ARG GO_OPENSSL_VERSION_OVERRIDE=1.1.1
+
+ENV GO_OPENSSL_VERSION_OVERRIDE=${GO_OPENSSL_VERSION_OVERRIDE}
+
+RUN apk update && \
+ apk del --no-cache openssl && \
+ apk add --no-cache make build-base pkgconfig coreutils perl linux-headers
+
+COPY scripts/openssl.sh /tmp/openssl.sh
+
+RUN /tmp/openssl.sh --dev ${GO_OPENSSL_VERSION_OVERRIDE}
diff --git a/.devcontainer/docs/Dockerfile b/.devcontainer/docs/Dockerfile
new file mode 100644
index 0000000..03d5389
--- /dev/null
+++ b/.devcontainer/docs/Dockerfile
@@ -0,0 +1,19 @@
+# syntax=docker/dockerfile:1
+
+# Copyright (c) Pedersen authors.
+#
+# Use of this source code is governed by an MIT-style
+# license that can be found in the LICENSE file or at
+# https://opensource.org/licenses/MIT.
+
+ARG NODE_VERSION=20
+
+FROM node:${NODE_VERSION}-alpine
+
+EXPOSE 3000
+
+WORKDIR /src
+
+RUN apk add --no-cache git
+
+ENV NODE_ENV=dev
diff --git a/.devcontainer/docs/devcontainer.json b/.devcontainer/docs/devcontainer.json
new file mode 100644
index 0000000..d39df2a
--- /dev/null
+++ b/.devcontainer/docs/devcontainer.json
@@ -0,0 +1,16 @@
+{
+ "name": "Pedersen Docs",
+ "build": {
+ "dockerfile": "Dockerfile",
+ "context": "../..",
+ "args": {
+ "NODE_VERSION": "20"
+ }
+ },
+ "postStartCommand": "cd docs && yarn install && yarn start",
+ "customizations": {
+ "vscode": {
+ "extensions": ["ms-vscode.vscode-typescript-next", "leizongmin.node-module-intellisense"]
+ }
+ }
+}
diff --git a/.devcontainer/openssl-1.0.2/devcontainer.json b/.devcontainer/openssl-1.0.2/devcontainer.json
new file mode 100644
index 0000000..442041f
--- /dev/null
+++ b/.devcontainer/openssl-1.0.2/devcontainer.json
@@ -0,0 +1,16 @@
+{
+ "name": "Pedersen 1.0.2",
+ "build": {
+ "dockerfile": "../Dockerfile",
+ "context": "../..",
+ "args": {
+ "GO_VARIANT": "1.17-alpine",
+ "GO_OPENSSL_VERSION_OVERRIDE": "1.0.2"
+ }
+ },
+ "customizations": {
+ "vscode": {
+ "extensions": ["golang.go", "ms-vscode.cpptools-extension-pack"]
+ }
+ }
+}
diff --git a/.devcontainer/openssl-1.1.0/devcontainer.json b/.devcontainer/openssl-1.1.0/devcontainer.json
new file mode 100644
index 0000000..79556ed
--- /dev/null
+++ b/.devcontainer/openssl-1.1.0/devcontainer.json
@@ -0,0 +1,16 @@
+{
+ "name": "Pedersen 1.1.0",
+ "build": {
+ "dockerfile": "../Dockerfile",
+ "context": "../..",
+ "args": {
+ "GO_VARIANT": "1.17-alpine",
+ "GO_OPENSSL_VERSION_OVERRIDE": "1.1.0"
+ }
+ },
+ "customizations": {
+ "vscode": {
+ "extensions": ["golang.go", "ms-vscode.cpptools-extension-pack"]
+ }
+ }
+}
diff --git a/.devcontainer/openssl-1.1.1/devcontainer.json b/.devcontainer/openssl-1.1.1/devcontainer.json
new file mode 100644
index 0000000..4bab2d7
--- /dev/null
+++ b/.devcontainer/openssl-1.1.1/devcontainer.json
@@ -0,0 +1,16 @@
+{
+ "name": "Pedersen 1.1.1",
+ "build": {
+ "dockerfile": "../Dockerfile",
+ "context": "../..",
+ "args": {
+ "GO_VARIANT": "1.17-alpine",
+ "GO_OPENSSL_VERSION_OVERRIDE": "1.1.1"
+ }
+ },
+ "customizations": {
+ "vscode": {
+ "extensions": ["golang.go", "ms-vscode.cpptools-extension-pack"]
+ }
+ }
+}
diff --git a/.devcontainer/openssl-3.0.1/devcontainer.json b/.devcontainer/openssl-3.0.1/devcontainer.json
new file mode 100644
index 0000000..72ae5f1
--- /dev/null
+++ b/.devcontainer/openssl-3.0.1/devcontainer.json
@@ -0,0 +1,16 @@
+{
+ "name": "Pedersen 3.0.1",
+ "build": {
+ "dockerfile": "../Dockerfile",
+ "context": "../..",
+ "args": {
+ "GO_VARIANT": "1.17-alpine",
+ "GO_OPENSSL_VERSION_OVERRIDE": "3.0.1"
+ }
+ },
+ "customizations": {
+ "vscode": {
+ "extensions": ["golang.go", "ms-vscode.cpptools-extension-pack"]
+ }
+ }
+}
diff --git a/.dockerignore b/.dockerignore
new file mode 100644
index 0000000..e660fd9
--- /dev/null
+++ b/.dockerignore
@@ -0,0 +1 @@
+bin/
diff --git a/.editorconfig b/.editorconfig
new file mode 100644
index 0000000..236d4a9
--- /dev/null
+++ b/.editorconfig
@@ -0,0 +1,18 @@
+# EditorConfig is awesome: https://EditorConfig.org
+
+# top-most EditorConfig file
+root = true
+
+# Unix-style newlines with a newline ending every file
+[*]
+end_of_line = lf
+insert_final_newline = true
+
+# Matches multiple files with brace expansion notation
+# Set default charset
+[*.{go}]
+charset = utf-8
+
+# 4 space indentation
+[*.go]
+indent_style = tab
diff --git a/.github/dependabot.yml b/.github/dependabot.yml
new file mode 100644
index 0000000..36b24f2
--- /dev/null
+++ b/.github/dependabot.yml
@@ -0,0 +1,6 @@
+version: 2
+updates:
+ - package-ecosystem: gomod
+ directory: /
+ schedule:
+ interval: daily
diff --git a/.github/workflows/docs.yml b/.github/workflows/docs.yml
new file mode 100644
index 0000000..7e6a002
--- /dev/null
+++ b/.github/workflows/docs.yml
@@ -0,0 +1,127 @@
+---
+name: Docs
+
+concurrency:
+ group: ${{ github.workflow }}-${{ github.ref }}
+ cancel-in-progress: true
+
+on:
+ schedule:
+ - cron: '0 8 */6 * *' # every 6 days to keep cache
+ workflow_dispatch:
+ inputs:
+ release_tag:
+ description: 'Release tag'
+ required: true
+ push:
+ branches:
+ - 'master'
+ pull_request:
+ branches:
+ - 'master'
+
+env:
+ RELEASE_BRANCH: master
+
+jobs:
+ prepare:
+ runs-on: ubuntu-22.04
+ outputs:
+ release_tag: ${{ steps.release_tag.outputs.release_tag }}
+ steps:
+ - name: Checkout
+ uses: actions/checkout@v3
+ with:
+ fetch-depth: 0
+
+ - name: Get latest tag on release branch
+ id: release_tag
+ run: |
+ set -ex
+ if [ "${{ github.event_name }}" = "workflow_dispatch" ] && [ -n "${{ inputs.release_tag }}" ]; then
+ echo "release_tag=${{ inputs.release_tag }}" >> $GITHUB_OUTPUT
+ elif [ "${{ github.event_name }}" = "push" ] && [ "${{ github.ref }}" = "refs/heads/${{ env.RELEASE_BRANCH }}" ]; then
+ echo "release_tag=$(git describe --match 'v[0-9]*' --abbrev=0 --tags ${RELEASE_BRANCH})" >> $GITHUB_OUTPUT || \
+ echo "release_tag=" >> $GITHUB_OUTPUT
+ else
+ echo "release_tag=" >> $GITHUB_OUTPUT
+ fi
+
+ - name: Show latest release tag
+ run: |
+ echo ${{ steps.release_tag.outputs.release_tag }}
+
+ build:
+ runs-on: ubuntu-22.04
+ needs: [prepare]
+ steps:
+ - name: Checkout
+ uses: actions/checkout@v3
+
+ - uses: docker/login-action@v2
+ with:
+ username: ${{ secrets.DOCKER_USERNAME }}
+ password: ${{ secrets.DOCKER_TOKEN }}
+
+ - name: Set up Docker Buildx
+ uses: docker/setup-buildx-action@v2
+
+ - name: Build docs
+ uses: docker/bake-action@v3
+ with:
+ targets: docs
+ set: |
+ *.args.ORGANIZATION_NAME=${{ github.repository_owner }}
+ *.args.REPO_NAME=${{ github.event.repository.name }}
+ *.args.REPO_URL=${{ github.server_url }}/${{ github.repository }}
+ *.args.DOCS_URL=https://${{ github.repository_owner }}.github.io
+ *.args.DOCS_EDIT_URL=${{ github.server_url }}/${{ github.repository }}/tree/${{ env.RELEASE_BRANCH }}/docs/
+ *.args.VERSION=${{ needs.prepare.outputs.release_tag }}
+ *.cache-from=type=gha,scope=docs
+ *.cache-to=type=gha,scope=docs,mode=max
+ env:
+ ALGOLIA_APP_ID: ${{ secrets.ALGOLIA_APP_ID }}
+ ALGOLIA_SEARCH_API_KEY: ${{ secrets.ALGOLIA_SEARCH_API_KEY }}
+ ALGOLIA_INDEX_NAME: ${{ secrets.ALGOLIA_INDEX_NAME }}
+
+ - name: Upload artifacts
+ uses: actions/upload-artifact@v3
+ with:
+ name: docs
+ path: ./bin/docs/*
+ if-no-files-found: error
+
+ release:
+ needs: [prepare, build]
+ runs-on: ubuntu-22.04
+ if: ${{ needs.prepare.outputs.release_tag != '' }}
+ steps:
+ - name: Checkout
+ uses: actions/checkout@v3
+ with:
+ ref: gh-pages
+
+ - name: Download artifacts
+ uses: actions/download-artifact@v3
+ with:
+ name: docs
+ path: /tmp/pedersen-docs
+
+ - name: List docs files
+ run: |
+ echo "DOCS_FILES<> $GITHUB_ENV
+ find /tmp/pedersen-docs -type f -printf "%P\n" >> $GITHUB_ENV
+ echo "EOF" >> $GITHUB_ENV
+
+ - name: Move docs files
+ run: |
+ rsync -cavr --ignore-times --delete /tmp/pedersen-docs/ .
+
+ - name: Commit changes
+ uses: swinton/commit@v2.x
+ env:
+ GH_TOKEN: ${{ secrets.GITHUB_TOKEN }}
+ with:
+ files: ${{ env.DOCS_FILES }}
+ commit-message: Update docs
+ ref: refs/heads/gh-pages
diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml
new file mode 100644
index 0000000..43169d9
--- /dev/null
+++ b/.github/workflows/main.yml
@@ -0,0 +1,272 @@
+---
+name: Main
+
+concurrency:
+ group: ${{ github.workflow }}-${{ github.ref }}
+ cancel-in-progress: true
+
+on:
+ schedule:
+ - cron: '0 8 */6 * *' # every 6 days to keep cache
+ workflow_dispatch:
+ push:
+ branches:
+ - '**'
+ tags:
+ - 'v*'
+ pull_request:
+
+jobs:
+ prepare:
+ runs-on: ubuntu-22.04
+ outputs:
+ test_matrix: ${{ steps.platforms.outputs.test_matrix }}
+ build_matrix: ${{ steps.platforms.outputs.build_matrix }}
+ steps:
+ - name: Checkout
+ uses: actions/checkout@v3
+
+ - name: Create matrix
+ id: platforms
+ run: |
+ echo test_matrix=$(docker buildx bake test-cross --print | jq -cr '.target."test-cross".platforms') >> $GITHUB_OUTPUT
+ echo build_matrix=$(docker buildx bake binary-cross --print | jq -cr '.target."binary-cross".platforms') >> $GITHUB_OUTPUT
+
+ - name: Show matrix
+ run: |
+ echo ${{ steps.platforms.outputs.test_matrix }}
+ echo ${{ steps.platforms.outputs.build_matrix }}
+
+ validate:
+ runs-on: ubuntu-22.04
+ strategy:
+ fail-fast: false
+ matrix:
+ target: ['lint', 'license-validate']
+ steps:
+ - name: Checkout
+ uses: actions/checkout@v3
+
+ - uses: docker/login-action@v2
+ with:
+ username: ${{ secrets.DOCKER_USERNAME }}
+ password: ${{ secrets.DOCKER_TOKEN }}
+
+ - name: Set up Docker Buildx
+ uses: docker/setup-buildx-action@v2
+
+ - name: ${{ matrix.target }}
+ uses: docker/bake-action@v3
+ with:
+ targets: ${{ matrix.target }}
+ set: |
+ *.cache-from=type=gha,scope=test
+ *.cache-to=type=gha,scope=test
+
+ test:
+ runs-on: ubuntu-22.04
+ needs: [prepare, validate]
+ strategy:
+ fail-fast: false
+ matrix:
+ go-version: ['1.20']
+ openssl-version: ['1.0.2', '1.1.0', '1.1.1', '3.0.1']
+ openssl-dev: [false, true]
+ steps:
+ - name: Checkout
+ uses: actions/checkout@v3
+
+ - uses: docker/login-action@v2
+ with:
+ username: ${{ secrets.DOCKER_USERNAME }}
+ password: ${{ secrets.DOCKER_TOKEN }}
+
+ - name: Set up Docker Buildx
+ uses: docker/setup-buildx-action@v2
+
+ - name: Test
+ uses: docker/bake-action@v3
+ with:
+ targets: test
+ set: |
+ *.args.GO_VERSION=${{ matrix.go-version }}
+ *.args.OPENSSL_VERSION=${{ matrix.openssl-version }}
+ *.args.GO_BUILDTAGS=${{ matrix.openssl-dev && 'openssldev' || '' }}
+ *.args.GO_TESTFLAGS=-gcflags=all=-d=checkptr -count 10
+ *.cache-from=type=gha,scope=test-${{ matrix.openssl-version }}
+ *.cache-to=type=gha,scope=test-${{ matrix.openssl-version }}
+
+ - name: Test (with race detector)
+ uses: docker/bake-action@v3
+ with:
+ targets: test
+ set: |
+ *.args.GO_VERSION=${{ matrix.go-version }}
+ *.args.OPENSSL_VERSION=${{ matrix.openssl-version }}
+ *.args.GO_BUILDTAGS=${{ matrix.openssl-dev && 'openssldev' || '' }}
+ *.args.GO_TESTFLAGS=-race
+ *.cache-from=type=gha,scope=test-${{ matrix.openssl-version }}
+ *.cache-to=type=gha,scope=test-${{ matrix.openssl-version }}
+
+ test-cross:
+ runs-on: ubuntu-22.04
+ needs: [prepare, validate]
+ strategy:
+ fail-fast: false
+ matrix:
+ platform: ${{ fromJson(needs.prepare.outputs.test_matrix) }}
+ steps:
+ - name: Prepare
+ run: |
+ platform=${{ matrix.platform }}
+ echo "PLATFORM_PAIR=${platform//\//-}" >> $GITHUB_ENV
+
+ - name: Checkout
+ uses: actions/checkout@v3
+
+ - uses: docker/login-action@v2
+ with:
+ username: ${{ secrets.DOCKER_USERNAME }}
+ password: ${{ secrets.DOCKER_TOKEN }}
+
+ - name: Set up QEMU
+ uses: docker/setup-qemu-action@v2
+
+ - name: Set up Docker Buildx
+ uses: docker/setup-buildx-action@v2
+
+ - name: Test
+ uses: docker/bake-action@v3
+ with:
+ targets: test-cross
+ set: |
+ *.platform=${{ matrix.platform }}
+ *.args.GO_BUILDTAGS=openssldev
+ *.args.GO_TESTFLAGS=-gcflags=all=-d=checkptr -count 10
+ *.cache-from=type=gha,scope=test-${{ env.PLATFORM_PAIR }}
+ *.cache-to=type=gha,scope=test-${{ env.PLATFORM_PAIR }}
+
+ binary:
+ runs-on: ubuntu-22.04
+ needs: [prepare, test, test-cross]
+ strategy:
+ fail-fast: false
+ matrix:
+ platform: ${{ fromJson(needs.prepare.outputs.build_matrix) }}
+ steps:
+ - name: Prepare
+ run: |
+ platform=${{ matrix.platform }}
+ echo "PLATFORM_PAIR=${platform//\//-}" >> $GITHUB_ENV
+
+ - name: Checkout
+ uses: actions/checkout@v3
+
+ - uses: docker/login-action@v2
+ with:
+ username: ${{ secrets.DOCKER_USERNAME }}
+ password: ${{ secrets.DOCKER_TOKEN }}
+
+ - name: Set up Docker Buildx
+ uses: docker/setup-buildx-action@v2
+
+ - name: Build static binary
+ uses: docker/bake-action@v3
+ with:
+ targets: release
+ set: |
+ *.platform=${{ matrix.platform }}
+ *.args.GO_BUILDTAGS=openssldev
+ *.args.GO_BUILDFLAGS=-v -x
+ *.args.GO_LINKMODE=static
+ *.args.GO_STRIP=1
+ *.cache-from=type=gha,scope=binary-${{ env.PLATFORM_PAIR }}
+ *.cache-to=type=gha,scope=binary-${{ env.PLATFORM_PAIR }},mode=max
+
+ - name: Upload artifacts
+ uses: actions/upload-artifact@v3
+ with:
+ name: pedersen
+ path: ./bin/release/*
+ if-no-files-found: error
+
+ release-image:
+ needs: [binary]
+ runs-on: ubuntu-22.04
+ steps:
+ - name: Checkout
+ uses: actions/checkout@v3
+
+ - name: Set up Docker Buildx
+ uses: docker/setup-buildx-action@v2
+
+ - name: Docker meta
+ id: meta
+ uses: docker/metadata-action@v4
+ with:
+ images: |
+ name=arella/pedersen
+ flavor: |
+ latest=auto
+ tags: |
+ type=ref,event=tag
+ type=semver,pattern={{version}}
+
+ - uses: docker/login-action@v2
+ with:
+ username: ${{ secrets.DOCKER_USERNAME }}
+ password: ${{ secrets.DOCKER_WRITE_TOKEN }}
+
+ - name: Build images
+ uses: docker/bake-action@v3
+ with:
+ files: |
+ ./docker-bake.hcl
+ ${{ steps.meta.outputs.bake-file }}
+ targets: image-cross
+ push: ${{ startsWith(github.ref, 'refs/tags/v') }}
+ sbom: true
+ set: |
+ *.args.GO_BUILDTAGS=openssldev
+ *.args.GO_BUILDFLAGS=-v -x
+ *.args.GO_LINKMODE=static
+ *.args.GO_STRIP=1
+ *.cache-from=type=gha,scope=image-${{ env.PLATFORM_PAIR }}
+ *.cache-to=type=gha,scope=image-${{ env.PLATFORM_PAIR }},mode=max
+
+ release-bin:
+ needs: [binary]
+ runs-on: ubuntu-22.04
+ if: ${{ startsWith(github.ref, 'refs/tags/v') }}
+ steps:
+ - name: Checkout
+ uses: actions/checkout@v3
+
+ - name: Download artifacts
+ uses: actions/download-artifact@v3
+ with:
+ name: pedersen
+ path: ./bin/release/*
+
+ - name: Release
+ uses: softprops/action-gh-release@v1
+ with:
+ files: |
+ ./bin/release/**
+ draft: false
+ generate_release_notes: true
+
+ - name: Trigger docs build
+ uses: actions/github-script@v6
+ with:
+ github-token: ${{ secrets.GITHUB_TOKEN }}
+ script: |
+ await github.rest.actions.createWorkflowDispatch({
+ owner: '${{ github.repository_owner }}',
+ repo: '${{ github.event.repository.name }}',
+ workflow_id: 'docs.yml',
+ ref: '${{ github.ref }}',
+ inputs: {
+ "release_tag": "${{ github.ref_name }}"
+ }
+ })
diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..ba077a4
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1 @@
+bin
diff --git a/.golangci.yml b/.golangci.yml
new file mode 100644
index 0000000..6914e88
--- /dev/null
+++ b/.golangci.yml
@@ -0,0 +1,67 @@
+run:
+ concurrency: 2
+ timeout: 10m
+linters:
+ enable-all: false
+ disable-all: true
+ enable:
+ - depguard
+ - errcheck
+ - gocritic
+ - gofmt
+ - goimports
+ - gomodguard
+ - revive
+ - gosimple
+ - govet
+ - ineffassign
+ - lll
+ - misspell
+ - nakedret
+ - nolintlint
+ - staticcheck
+ - typecheck
+ - unconvert
+ - unparam
+ - unused
+linters-settings:
+ revive:
+ rules:
+ - name: package-comments
+ disabled: true
+ depguard:
+ rules:
+ all:
+ deny:
+ - pkg: io/ioutil
+ desc: 'io/ioutil package has been deprecated'
+ gomodguard:
+ blocked:
+ versions:
+ - gotest.tools:
+ version: "< 3.0.0"
+ reason: "deprecated, pre-modules version"
+ gocritic:
+ # Enable multiple checks by tags, run `GL_DEBUG=gocritic golangci-lint run` to see all tags and checks.
+ # Empty list by default. See https://github.com/go-critic/go-critic#usage -> section "Tags".
+ enabled-tags:
+ - diagnostic
+ - opinionated
+ - style
+ disabled-checks:
+ - dupImport # https://github.com/go-critic/go-critic/issues/845
+ - paramTypeCombine
+ - unnamedResult
+ - whyNoLint
+ - uncheckedInlineErr
+ - dupSubExpr
+ gocyclo:
+ min-complexity: 16
+ lll:
+ line-length: 200
+issues:
+ # golangci hides some golint warnings (the warning about exported things
+ # withtout documentation for example), this will make it show them anyway.
+ exclude-use-default: false
+ exclude:
+ - should not use dot imports
diff --git a/Dockerfile b/Dockerfile
new file mode 100644
index 0000000..0608fda
--- /dev/null
+++ b/Dockerfile
@@ -0,0 +1,215 @@
+# syntax=docker/dockerfile:1
+
+# Copyright (c) Pedersen authors.
+#
+# Use of this source code is governed by an MIT-style
+# license that can be found in the LICENSE file or at
+# https://opensource.org/licenses/MIT.
+
+ARG GO_VERSION=1.20.5
+ARG XX_VERSION=1.2.1
+ARG GOLANGCI_LINT_VERSION=v1.53.2
+ARG ADDLICENSE_VERSION=v1.0.0
+ARG NODE_VERSION=20
+ARG LICENSE_FILES=".*\(Dockerfile\|\.go\|\.hcl\)"
+
+# xx is a helper for cross-compilation
+FROM --platform=${BUILDPLATFORM} tonistiigi/xx:${XX_VERSION} AS xx
+
+# osxcross contains the MacOSX cross toolchain for xx
+FROM tonistiigi/xx:sdk-extras AS osxcross
+
+FROM golangci/golangci-lint:${GOLANGCI_LINT_VERSION}-alpine AS golangci-lint
+FROM ghcr.io/google/addlicense:${ADDLICENSE_VERSION} AS addlicense
+
+FROM --platform=${BUILDPLATFORM} golang:${GO_VERSION}-alpine AS base
+COPY --from=xx / /
+RUN apk add --no-cache bash perl make pkgconfig clang lld llvm git file
+WORKDIR /src
+ENV CGO_ENABLED=1
+
+FROM --platform=${BUILDPLATFORM} base AS base-linux
+ARG TARGETPLATFORM
+RUN xx-apk add gcc musl-dev linux-headers
+
+FROM --platform=${BUILDPLATFORM} base-linux AS base-darwin
+
+FROM --platform=${BUILDPLATFORM} base AS base-windows
+RUN apk add --no-cache mingw-w64-gcc
+ARG TARGETPLATFORM
+RUN mv /usr/bin/$(xx-info)-windres /usr/bin/$(xx-info)-windres.orig
+RUN xx-clang --setup-target-triple && \
+ ln -s /usr/bin/$(xx-info)-windres /usr/bin/windres
+
+FROM base-${TARGETOS} AS build-base
+COPY go.* .
+RUN --mount=type=cache,target=/go/pkg/mod \
+ --mount=type=cache,target=/root/.cache/go-build \
+ go mod download
+
+FROM build-base AS build-openssl
+ARG OPENSSL_VERSION=3.0.1
+ARG TARGETPLATFORM
+ENV GO_OPENSSL_VERSION_OVERRIDE=${OPENSSL_VERSION}
+COPY scripts/openssl.sh /bin/openssl.sh
+RUN --mount=type=bind,from=osxcross,src=/xx-sdk,target=/xx-sdk,rw < /etc/ld-musl-$(xx-info march).path
+ fi
+ go test $([ ! -n "$GO_BUILDTAGS" ] || echo "-tags ${GO_BUILDTAGS}") ${GO_TESTFLAGS} -v ./...
+EOT
+
+FROM base AS license-validate
+ARG LICENSE_FILES
+RUN --mount=type=bind,target=. \
+ --mount=from=addlicense,source=/app/addlicense,target=/usr/bin/addlicense \
+ find . -regex "${LICENSE_FILES}" | xargs addlicense -check -c 'Pedersen authors' -l mit -v
+
+FROM --platform=${BUILDPLATFORM} node:${NODE_VERSION}-alpine AS docs-build
+ARG ORGANIZATION_NAME=matteoarella
+ARG REPO_NAME=pedersen
+ARG REPO_URL=https://github.com/matteoarella/pedersen
+ARG DOCS_URL=https://matteoarella.github.io
+ARG DOCS_EDIT_URL=https://github.com/matteoarella/pedersen/tree/master/docs/
+ARG VERSION
+
+ENV ORGANIZATION_NAME=${ORGANIZATION_NAME}
+ENV REPO_NAME=${REPO_NAME}
+ENV REPO_URL=${REPO_URL}
+ENV DOCS_URL=${DOCS_URL}
+ENV DOCS_EDIT_URL=${DOCS_EDIT_URL}
+ENV NODE_ENV=production
+
+WORKDIR /docs
+COPY ./ .
+RUN apk update && apk add --no-cache git
+RUN --mount=type=secret,id=ALGOLIA_APP_ID \
+ --mount=type=secret,id=ALGOLIA_SEARCH_API_KEY \
+ --mount=type=secret,id=ALGOLIA_INDEX_NAME <
+
+
+
+
+
+
+> Secret sharing (also called secret splitting) refers to methods for distributing a secret among a group, in such a way that no individual holds any intelligible information about the secret, but when a sufficient number of individuals combine their 'shares', the secret may be reconstructed.
+> [Wikipedia](https://en.wikipedia.org/wiki/Secret_sharing)
+
+Secret sharing schemes are ideal for storing information that is highly sensitive
+and highly important, like for example encryption keys. Each of these pieces of
+information must be kept highly confidential, as their exposure could be disastrous;
+however, it is also critical that they should not be lost. Traditional methods for
+encryption are ill-suited for simultaneously achieving high levels of confidentiality
+and reliability. This is because when storing the encryption key, one must choose
+between keeping a single copy of the key in one location for maximum secrecy,
+or keeping multiple copies of the key in different locations for greater reliability.
+Increasing reliability of the key by storing multiple copies lowers confidentiality by
+creating additional attack vectors. Secret sharing schemes address this problem,
+and allow arbitrarily high levels of confidentiality and reliability to be achieved.
+
+> In cryptography, a secret sharing scheme is verifiable if auxiliary information is included that allows players to verify their shares as consistent.
+> [Wikipedia](https://en.wikipedia.org/wiki/Verifiable_secret_sharing)
+
+The `pedersen` package implements verifiable secret sharing procedures that are defined by [Pedersen Non-Interactive and Information-Theoretic Secure Verifiable Secret Sharing](https://link.springer.com/chapter/10.1007/3-540-46766-1_9) conference paper.
+
+# Getting started
+
+Any information on how to use this project can be found [here](https://matteoarella.github.io/pedersen).
+
+# License
+
+Pedersen is released under MIT license. See [LICENSE](./LICENSE).
diff --git a/big/bn.go b/big/bn.go
new file mode 100644
index 0000000..0682dfc
--- /dev/null
+++ b/big/bn.go
@@ -0,0 +1,742 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+//go:build cgo
+// +build cgo
+
+package big
+
+// #include "goopenssl.h"
+import "C"
+import (
+ "crypto/subtle"
+ "encoding/json"
+ "errors"
+ "math"
+ "runtime"
+ "unsafe"
+)
+
+var (
+ ErrInvalidParse = errors.New("invalid parse")
+)
+
+// An Int represents a signed multi-precision integer.
+type Int struct {
+ bn *C.GO_BIGNUM
+}
+
+func (z *Int) wrapInt(finalize bool) *Int {
+ runtime.SetFinalizer(z, func(bn *Int) {
+ if bn.bn == nil {
+ return
+ }
+
+ if finalize {
+ C.go_openssl_BN_free(bn.bn)
+ }
+
+ bn.bn = nil
+ })
+
+ return z
+}
+
+func (z *Int) init() error {
+ if z.bn == nil {
+ if !isGeq11() {
+ z.bn = C.go_openssl_BN_new()
+ if z.bn == nil {
+ return newOpenSSLError("BN_new")
+ }
+ } else {
+ z.bn = C.go_openssl_BN_secure_new()
+ if z.bn == nil {
+ return newOpenSSLError("BN_secure_new")
+ }
+ }
+
+ z.wrapInt(true)
+ }
+
+ return nil
+}
+
+// Allocates and initialize an Int struct.
+func NewInt() (*Int, error) {
+ i := &Int{}
+
+ err := i.init()
+ if err != nil {
+ return nil, err
+ }
+
+ return i, nil
+}
+
+// Returns a constant Int with value 1.
+func One() *Int {
+ one := &Int{
+ bn: C.go_openssl_BN_value_one(),
+ }
+
+ return one.wrapInt(false)
+}
+
+func (i *Int) SetConstantTime() *Int {
+ err := i.init()
+ if err != nil {
+ return i
+ }
+
+ if isGeq11() {
+ C.go_openssl_BN_set_flags(i.bn, C.GO_BN_FLG_CONSTTIME)
+ } else {
+ C.legacy_1_0_BN_set_flags(i.bn, C.GO_BN_FLG_CONSTTIME)
+ }
+
+ return i
+}
+
+// String returns the decimal representation of i.
+func (i *Int) String() string {
+ return C.GoString(C.go_openssl_BN_bn2dec(i.bn))
+}
+
+// String returns the hexadecimal representation of i.
+func (i *Int) Hex() string {
+ return C.GoString(C.go_openssl_BN_bn2hex(i.bn))
+}
+
+func (i *Int) unmarshalString(data string) error {
+ length := len(data)
+
+ if length < 1 {
+ return nil
+ }
+
+ if length > 2 && data[0] == '0' && (data[1] == 'x' || data[1] == 'X') {
+ return i.SetHexString(data[2:])
+ }
+
+ // try decimal
+ err := i.SetDecString(data)
+ if err == nil {
+ return nil
+ }
+
+ // try exadecimal
+ return i.SetHexString(data)
+}
+
+// MarshalJSON implements the json.Marshaler interface.
+func (i *Int) MarshalJSON() ([]byte, error) {
+ return json.Marshal("0x" + i.Hex())
+}
+
+// UnmarshalJSON implements the json.Unmarshaler interface..
+func (i *Int) UnmarshalJSON(data []byte) error {
+ var x string
+ err := json.Unmarshal(data, &x)
+ if err != nil {
+ return err
+ }
+
+ return i.unmarshalString(x)
+}
+
+// MarshalText implements the encoding.TextMarshaler interface.
+func (i *Int) MarshalText() ([]byte, error) {
+ return []byte("0x" + i.Hex()), nil
+}
+
+// UnmarshalText implements the encoding.TextUnmarshaler interface.
+func (i *Int) UnmarshalText(data []byte) error {
+ return i.unmarshalString(string(data))
+}
+
+// GeneratePrime generates a pseudo-random prime number of at least bit length bits
+// using the IntContext provided in ctx.
+// The returned number is probably prime with a negligible error. The maximum error
+// rate is 2^-128. It's 2^-287 for a 512 bit prime, 2^-435 for a 1024 bit prime, 2^-648
+// for a 2048 bit prime, and lower than 2^-882 for primes larger than 2048 bit.
+// If safe is true, it will be a safe prime (i.e. a prime p so that (p-1)/2 is also prime).
+// ctx is a previously allocated IntContext used for temporary variables.
+func GeneratePrime(ctx *IntContext, bits int, safe bool) (*Int, error) {
+ p, err := NewInt()
+ if err != nil {
+ return nil, err
+ }
+
+ safePrime := C.int(0)
+ if safe {
+ safePrime = C.int(1)
+ }
+
+ if !is30() {
+ r := C.go_openssl_BN_generate_prime_ex(p.bn, C.int(bits), safePrime, nil, nil, nil)
+ if r != 1 {
+ return nil, newOpenSSLError("BN_generate_prime_ex")
+ }
+
+ return p, nil
+ }
+
+ newCtx := ctx
+ if newCtx == nil {
+ newCtx, err = NewIntContext()
+ if err != nil {
+ return nil, err
+ }
+
+ defer newCtx.Destroy()
+ }
+
+ r := C.go_openssl_BN_generate_prime_ex2(p.bn, C.int(bits), safePrime, nil, nil, nil, newCtx.ctx)
+ if r != 1 {
+ return nil, newOpenSSLError("BN_generate_prime_ex2")
+ }
+
+ return p, nil
+}
+
+// ProbablyPrime tests if the number z is prime. The functions tests until one of the tests
+// shows that z is composite, or all the tests passed. If z passes all these tests, it is
+// considered a probable prime.
+// The test performed on z are trial division by a number of small primes and rounds of the
+// of the Miller-Rabin probabilistic primality test.
+// The functions do at least 64 rounds of the Miller-Rabin test giving a maximum false
+// positive rate of 2^-128.
+// If the size of z is more than 2048 bits, they do at least 128 rounds giving a maximum
+// false positive rate of 2^-256.
+// ctx is a previously allocated IntContext used for temporary variables.
+func (z *Int) ProbablyPrime(ctx *IntContext) (bool, error) {
+ newCtx := ctx
+ if newCtx == nil {
+ newCtx, err := NewIntContext()
+ if err != nil {
+ return false, err
+ }
+
+ defer newCtx.Destroy()
+ }
+
+ if isLegacy1() {
+ nChecks := C.go_openssl_BN_prime_checks_for_size(C.int(z.BitLen()))
+ ret := C.go_openssl_BN_is_prime_ex(z.bn, nChecks, newCtx.ctx, nil)
+ if ret == -1 {
+ return false, newOpenSSLError("BN_is_prime_ex")
+ }
+
+ return ret == 1, nil
+ } else {
+
+ ret := C.go_openssl_BN_check_prime(z.bn, newCtx.ctx, nil)
+ if ret == -1 {
+ return false, newOpenSSLError("BN_check_prime")
+ }
+
+ return ret == 1, nil
+ }
+}
+
+// Add sets z to the sum x+y and places the result in z.
+func (z *Int) Add(x, y *Int) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_add(z.bn, x.bn, y.bn)
+ if ret != 1 {
+ return newOpenSSLError("BN_add")
+ }
+
+ return nil
+}
+
+// Sub sets z to the difference x-y and places the result in z.
+func (z *Int) Sub(x, y *Int) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_sub(z.bn, x.bn, y.bn)
+ if ret != 1 {
+ return newOpenSSLError("BN_sub")
+ }
+
+ return nil
+}
+
+// Mul multiplies x and y and places the result in z.
+// For multiplication by powers of 2, use [Lsh].
+// ctx is a previously allocated IntContext used for temporary variables.
+func (z *Int) Mul(ctx *IntContext, x, y *Int) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_mul(z.bn, x.bn, y.bn, ctx.ctx)
+ if ret != 1 {
+ return newOpenSSLError("BN_mul")
+ }
+
+ return nil
+}
+
+// ModMul multiplies x by y and finds the nonnegative remainder respective to modulus m (z=(x*y) mod m).
+// For more efficient algorithms for repeated computations using the same modulus, see [ModMulMontgomery].
+// ctx is a previously allocated IntContext used for temporary variables.
+func (z *Int) ModMul(ctx *IntContext, x, y, m *Int) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_mod_mul(z.bn, x.bn, y.bn, m.bn, ctx.ctx)
+ if ret != 1 {
+ return newOpenSSLError("BN_mod_mul")
+ }
+
+ return nil
+}
+
+// ModMulMontgomery implement Montgomery multiplication.
+// It computes Mont(x,y):=x*y*R^-1 and places the result in z.
+// ctx is a previously allocated IntContext used for temporary variables.
+func (z *Int) ModMulMontgomery(mont *MontgomeryContext, ctx *IntContext, x, y *Int) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_mod_mul_montgomery(z.bn, x.bn, y.bn, mont.ctx, ctx.ctx)
+ if ret != 1 {
+ return newOpenSSLError("BN_mod_mul_montgomery")
+ }
+
+ return nil
+}
+
+// Div divides z by y and places the result in z.
+// For division by powers of 2, use [Rsh].
+// ctx is a previously allocated IntContext used for temporary variables.
+func (z *Int) Div(ctx *IntContext, x, y *Int) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_div(z.bn, nil, x.bn, y.bn, ctx.ctx)
+ if ret != 1 {
+ return newOpenSSLError("BN_div")
+ }
+
+ return nil
+}
+
+// Exp raises x to the y-th power and places the result in z (z=x^y).
+// This function is faster than repeated applications of [Mul].
+// ctx is a previously allocated IntContext used for temporary variables.
+func (z *Int) Exp(ctx *IntContext, x, y *Int) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_exp(z.bn, x.bn, y.bn, ctx.ctx)
+ if ret != 1 {
+ return newOpenSSLError("BN_exp")
+ }
+
+ return nil
+}
+
+// ModExp computes x to the y-th power modulo m (z=x^y % m).
+// This function uses less time and space than [Exp].
+// Do not call this function when m is even and any of the parameters
+// have the constant-time flag set.
+// ctx is a previously allocated IntContext used for temporary variables.
+func (z *Int) ModExp(ctx *IntContext, x, y, m *Int) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_mod_exp(z.bn, x.bn, y.bn, m.bn, ctx.ctx)
+ if ret != 1 {
+ return newOpenSSLError("BN_mod_exp")
+ }
+
+ return nil
+}
+
+// ModExpMont computes z to the y-th power modulo m (z=x^y % m) using Montgomery multiplication.
+// mont is a Montgomery context and can be nil. In the case mont is nil, it will be initialized
+// within the function, so you can save time on initialization if you provide it in advance.
+// If any of the parameters x, y or m have the constant-time flag set, this function uses fixed
+// windows and the special precomputation memory layout to limit data-dependency to a minimum
+// to protect secret exponents.
+// ctx is a previously allocated IntContext used for temporary variables.
+func (z *Int) ModExpMont(mont *MontgomeryContext, ctx *IntContext, x, y, m *Int) error {
+ var montCtx *C.GO_BN_MONT_CTX
+
+ if mont != nil {
+ montCtx = mont.ctx
+ }
+
+ var modulus *C.GO_BIGNUM
+ if m != nil {
+ modulus = m.bn
+ }
+
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_mod_exp_mont(z.bn, x.bn, y.bn, modulus, ctx.ctx, montCtx)
+ if ret != 1 {
+ return newOpenSSLError("BN_mod_exp_mont")
+ }
+
+ return nil
+}
+
+// Mod sets z to the modulus x%y for y != 0.
+// ctx is a previously allocated IntContext used for temporary variables.
+func (z *Int) Mod(ctx *IntContext, x, y *Int) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_mod(z.bn, x.bn, y.bn, ctx.ctx)
+ if ret != 1 {
+ return newOpenSSLError("BN_mod")
+ }
+
+ return nil
+}
+
+// ModInverse sets z to the multiplicative inverse of g in the ring ℤ/nℤ.
+// ctx is a previously allocated IntContext used for temporary variables.
+func (z *Int) ModInverse(ctx *IntContext, g, n *Int) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_mod_inverse(z.bn, g.bn, n.bn, ctx.ctx)
+ if ret == nil {
+ return newOpenSSLError("BN_mod_inverse")
+ }
+
+ return nil
+}
+
+// BitLen returns the length of the absolute value of z in bits. The bit length of 0 is 0.
+func (z *Int) BitLen() int {
+ if z.bn == nil {
+ return 0
+ }
+
+ return int(C.go_openssl_BN_num_bits(z.bn))
+}
+
+// BytesLen returns the size of z in bytes.
+func (z *Int) BytesLen() int {
+ if z.bn == nil {
+ return 0
+ }
+
+ return int(C.go_openssl_BN_num_bytes(z.bn))
+}
+
+// SetBytes interprets buf as the bytes of a big-endian unsigned integer, sets z to that value, and returns z.
+func (z *Int) SetBytes(buf []byte) *Int {
+ err := z.init()
+ if err != nil {
+ return z
+ }
+
+ C.go_openssl_BN_bin2bn((*C.uchar)(unsafe.Pointer(&buf[0])), C.int(len(buf)), z.bn)
+ return z
+}
+
+// SetDecString sets z to the value of s interpreted in the decimal base.
+func (z *Int) SetDecString(s string) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ str := C.CString(s)
+ defer C.free(unsafe.Pointer(str))
+
+ ret := C.go_openssl_BN_dec2bn(&z.bn, str)
+ if ret == C.int(0) {
+ return newOpenSSLError("BN_dec2bn")
+ } else if ret < C.int(len(s)) {
+ return ErrInvalidParse
+ }
+
+ return nil
+}
+
+// SetHexString sets z to the value of s interpreted in the hexadecimal base.
+func (z *Int) SetHexString(s string) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ str := C.CString(s)
+ defer C.free(unsafe.Pointer(str))
+
+ ret := C.go_openssl_BN_hex2bn(&z.bn, str)
+ if ret == 0 {
+ return newOpenSSLError("BN_hex2bn")
+ } else if ret < C.int(len(s)) {
+ return ErrInvalidParse
+ }
+
+ return nil
+}
+
+// SetUInt64 sets z to the value of x.
+func (z *Int) SetUInt64(x uint64) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ok := C.go_openssl_BN_set_word(z.bn, C.GO_BN_ULONG(x))
+ if ok != 1 {
+ return newOpenSSLError("BN_set_word")
+ }
+
+ return nil
+}
+
+// Bytes sets buf to the absolute value of z as a big-endian byte slice.
+// If the absolute value of z doesn't fit in buf, FillBytes will panic.
+func (z *Int) FillBytes(buf []byte) error {
+ bytesLen := z.BytesLen()
+ bufLen := len(buf)
+
+ if bufLen < bytesLen {
+ panic("bn.Int: buffer too small to fit value")
+ }
+
+ if isGeq11() {
+ ret := C.go_openssl_BN_bn2binpad(z.bn, (*C.uchar)(unsafe.Pointer(&buf[0])), C.int(bufLen))
+ if ret != C.int(bufLen) {
+ return newOpenSSLError("BN_bn2binpad")
+ }
+ } else {
+ ret := C.go_openssl_BN_bn2bin(z.bn, (*C.uchar)(unsafe.Pointer(&buf[0])))
+ if ret != C.int(bufLen) {
+ return newOpenSSLError("BN_bn2bin")
+ }
+ }
+
+ return nil
+}
+
+// Bytes returns the absolute value of z as a big-endian byte slice.
+// To use a fixed length slice, or a preallocated one, use [FillBytes].
+func (z *Int) Bytes() ([]byte, error) {
+ bytesLen := z.BytesLen()
+ buf := make([]byte, bytesLen)
+
+ if bytesLen <= 0 {
+ return buf, nil
+ }
+
+ if isGeq11() {
+ ret := C.go_openssl_BN_bn2binpad(z.bn, (*C.uchar)(unsafe.Pointer(&buf[0])), C.int(bytesLen))
+ if ret != C.int(bytesLen) {
+ return nil, newOpenSSLError("BN_bn2binpad")
+ }
+ } else {
+ ret := C.go_openssl_BN_bn2bin(z.bn, (*C.uchar)(unsafe.Pointer(&buf[0])))
+ if ret != C.int(bytesLen) {
+ return nil, newOpenSSLError("BN_bn2bin")
+ }
+ }
+
+ return buf, nil
+}
+
+// Lsh shifts x left by n bits and places the result in z (z=x*2^n).
+// Note that n must be nonnegative.
+func (z *Int) Lsh(x *Int, n uint) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_lshift(z.bn, x.bn, C.int(n))
+ if ret != 1 {
+ return newOpenSSLError("BN_lshift")
+ }
+
+ return nil
+}
+
+// Rsh shifts x right by n bits and places the result in z (z=x/2^n).
+// Note that n must be nonnegative.
+func (z *Int) Rsh(x *Int, n uint) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_rshift(z.bn, x.bn, C.int(n))
+ if ret != 1 {
+ return newOpenSSLError("BN_rshift")
+ }
+
+ return nil
+}
+
+// Or sets z = x | y.
+func (z *Int) Or(x, y *Int) error {
+ max, min := x, y
+
+ maxLen, minLen := max.BytesLen(), min.BytesLen()
+
+ if maxLen < minLen {
+ max, min = y, x
+ maxLen, minLen = max.BytesLen(), min.BytesLen()
+ }
+
+ minBytes, err := min.Bytes()
+ if err != nil {
+ return err
+ }
+
+ maxBytes, err := max.Bytes()
+ if err != nil {
+ return err
+ }
+
+ zBytes := make([]byte, maxLen)
+
+ offset := maxLen - minLen
+ for i, j := offset, 0; i < maxLen; i, j = i+1, j+1 {
+ zBytes[i] = minBytes[j] | maxBytes[i]
+ }
+ copy(zBytes[0:offset], maxBytes[0:offset])
+
+ z.SetBytes(zBytes)
+
+ return nil
+}
+
+// And sets z = x & y.
+func (z *Int) And(x, y *Int) error {
+ max, min := x, y
+
+ maxLen, minLen := max.BytesLen(), min.BytesLen()
+
+ if maxLen < minLen {
+ max, min = y, x
+ maxLen, minLen = max.BytesLen(), min.BytesLen()
+ }
+
+ minBytes, err := min.Bytes()
+ if err != nil {
+ return err
+ }
+
+ maxBytes, err := max.Bytes()
+ if err != nil {
+ return err
+ }
+
+ zBytes := make([]byte, maxLen)
+
+ offset := maxLen - minLen
+ for i, j := offset, 0; i < maxLen; i, j = i+1, j+1 {
+ zBytes[i] = minBytes[j] & maxBytes[i]
+ }
+
+ z.SetBytes(zBytes)
+
+ return nil
+}
+
+// Uint64 returns the uint64 representation of z. If z cannot be represented in a uint64, the function
+// returns [math.MaxUint64].
+func (z *Int) Uint64() uint64 {
+ if z.bn == nil {
+ return math.MaxUint64
+ }
+
+ return uint64(C.go_openssl_BN_get_word(z.bn))
+}
+
+// Set sets z to x.
+func (z *Int) Set(x *Int) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_copy(z.bn, x.bn)
+ if ret == nil {
+ return newOpenSSLError("BN_copy")
+ }
+
+ return nil
+}
+
+// RandRange generates a cryptographically strong pseudo-random number z in
+// the range 0 <= z < max.
+func (z *Int) RandRange(max *Int) error {
+ err := z.init()
+ if err != nil {
+ return err
+ }
+
+ ret := C.go_openssl_BN_rand_range(z.bn, max.bn)
+ if ret != 1 {
+ return newOpenSSLError("BN_rand_range")
+ }
+
+ return nil
+}
+
+// Cmp compares z and x and returns:
+//
+// -1 if z < x
+// 0 if z == x
+// +1 if z > x
+func (z *Int) Cmp(x *Int) int {
+ return int(C.go_openssl_BN_cmp(z.bn, x.bn))
+}
+
+// ConstantTimeEq compares z and x and returns true if they are equal, false otherwise.
+// The time taken is a function of the bytes length of the numbers and is independent
+// of the contents.
+func (z *Int) ConstantTimeEq(x *Int) (bool, error) {
+ zBytes, err := z.Bytes()
+ if err != nil {
+ return false, err
+ }
+
+ xBytes, err := x.Bytes()
+ if err != nil {
+ return false, err
+ }
+
+ return subtle.ConstantTimeCompare(zBytes, xBytes) == 1, nil
+}
diff --git a/big/bn_test.go b/big/bn_test.go
new file mode 100644
index 0000000..17c988f
--- /dev/null
+++ b/big/bn_test.go
@@ -0,0 +1,126 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package big_test
+
+import (
+ "testing"
+
+ "github.com/matteoarella/pedersen/big"
+ "github.com/stretchr/testify/require"
+)
+
+func TestBnValid(t *testing.T) {
+ t.Run("valid bn", func(t *testing.T) {
+ a, err := big.NewInt()
+ require.NoError(t, err)
+ err = a.SetUInt64(1)
+ require.NoError(t, err)
+
+ b, err := big.NewInt()
+ require.NoError(t, err)
+ err = b.SetUInt64(2)
+ require.NoError(t, err)
+
+ sum, err := big.NewInt()
+ require.NoError(t, err)
+ err = sum.SetUInt64(3)
+ require.NoError(t, err)
+
+ s, err := big.NewInt()
+ require.NoError(t, err)
+ err = s.Set(sum)
+ require.NoError(t, err)
+
+ err = b.Add(a, b)
+ require.NoError(t, err)
+
+ require.Equal(t, 0, sum.Cmp(b))
+ require.Equal(t, 0, sum.Cmp(s))
+
+ dec, err := big.NewInt()
+ require.NoError(t, err)
+
+ err = dec.SetDecString("10")
+ require.NoError(t, err)
+
+ expected, err := big.NewInt()
+ require.NoError(t, err)
+ err = expected.SetUInt64(10)
+ require.NoError(t, err)
+
+ require.Equal(t, 0, dec.Cmp(expected))
+
+ mask, err := big.NewInt()
+ require.NoError(t, err)
+ err = mask.SetUInt64(5)
+ require.NoError(t, err)
+
+ ctx, err := big.NewIntContext()
+ require.NoError(t, err)
+
+ err = mask.Mod(ctx, mask, sum)
+ require.NoError(t, err)
+
+ err = expected.SetUInt64(3)
+ require.NoError(t, err)
+
+ err = a.SetUInt64(2)
+ require.NoError(t, err)
+ err = b.SetUInt64(3)
+ require.NoError(t, err)
+ err = s.SetUInt64(5)
+ require.NoError(t, err)
+
+ err = a.ModExp(ctx, a, b, s)
+ require.NoError(t, err)
+
+ require.Equal(t, 0, expected.Cmp(a))
+ })
+}
+
+func TestExpMontValid(t *testing.T) {
+ t.Run("valid exp mont bn", func(t *testing.T) {
+ a, err := big.NewInt()
+ require.NoError(t, err)
+ err = a.SetUInt64(2)
+ require.NoError(t, err)
+
+ b, err := big.NewInt()
+ require.NoError(t, err)
+ err = b.SetUInt64(3)
+ require.NoError(t, err)
+
+ m, err := big.NewInt()
+ require.NoError(t, err)
+ err = m.SetUInt64(5)
+ require.NoError(t, err)
+
+ ctx, err := big.NewIntContext()
+ require.NoError(t, err)
+ defer ctx.Destroy()
+
+ mont, err := big.NewMontgomeryContext()
+ require.NoError(t, err)
+ defer mont.Destroy()
+
+ err = mont.Set(m, ctx)
+ require.NoError(t, err)
+
+ res, err := big.NewInt()
+ require.NoError(t, err)
+
+ err = res.ModExpMont(mont, ctx, a, b, m)
+ require.NoError(t, err)
+
+ expected, err := big.NewInt()
+ require.NoError(t, err)
+ err = expected.SetUInt64(3)
+ require.NoError(t, err)
+
+ require.Equal(t, 0, res.Cmp(expected))
+ })
+}
diff --git a/big/context.go b/big/context.go
new file mode 100644
index 0000000..546a06d
--- /dev/null
+++ b/big/context.go
@@ -0,0 +1,142 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package big
+
+// #include "goopenssl.h"
+import "C"
+import (
+ "runtime"
+)
+
+// A IntContext is a structure that holds [Int] temporary variables
+// used by library functions.
+// Since dynamic memory allocation to create [Int]s is rather expensive
+// when used in conjunction with repeated subroutine calls,
+// the IntContext structure is used.
+// A given IntContext must only be used by a single thread of execution.
+// No locking is performed, and the internal pool allocator will not properly
+// handle multiple threads of execution.
+type IntContext struct {
+ ctx *C.GO_BN_CTX
+}
+
+type MontgomeryContext struct {
+ ctx *C.GO_BN_MONT_CTX
+}
+
+func finalizeIntContext(bnCtx *IntContext) {
+ if bnCtx.ctx == nil {
+ return
+ }
+
+ C.go_openssl_BN_CTX_free(bnCtx.ctx)
+
+ bnCtx.ctx = nil
+}
+
+func wrapIntContext(ctx *C.GO_BN_CTX) *IntContext {
+ c := &IntContext{
+ ctx: ctx,
+ }
+
+ runtime.SetFinalizer(c, finalizeIntContext)
+
+ return c
+}
+
+// NewIntContext allocates and initializes a IntContext structure
+func NewIntContext() (*IntContext, error) {
+ var ctx *C.GO_BN_CTX
+
+ switch {
+ case is30():
+ ctx = C.go_openssl_BN_CTX_secure_new_ex(nil)
+ if ctx == nil {
+ return nil, newOpenSSLError("BN_CTX_secure_new_ex")
+ }
+ case is11():
+ ctx = C.go_openssl_BN_CTX_secure_new()
+ if ctx == nil {
+ return nil, newOpenSSLError("BN_CTX_secure_new")
+ }
+ default:
+ ctx = C.go_openssl_BN_CTX_new()
+ if ctx == nil {
+ return nil, newOpenSSLError("BN_CTX_new")
+ }
+ }
+
+ return wrapIntContext(ctx), nil
+}
+
+func (c *IntContext) Attach() {
+ C.go_openssl_BN_CTX_start(c.ctx)
+}
+
+func (c *IntContext) Detach() {
+ C.go_openssl_BN_CTX_end(c.ctx)
+}
+
+func (c *IntContext) GetInt() (*Int, error) {
+ bn := C.go_openssl_BN_CTX_get(c.ctx)
+ if bn == nil {
+ return nil, newOpenSSLError("BN_CTX_get")
+ }
+
+ i := &Int{
+ bn: bn,
+ }
+
+ return i.wrapInt(false), nil
+}
+
+// Destroy frees the components of the IntContext and the structure itself.
+func (c *IntContext) Destroy() {
+ finalizeIntContext(c)
+}
+
+func finalizeMontgomeryContext(montCtx *MontgomeryContext) {
+ if montCtx.ctx == nil {
+ return
+ }
+
+ C.go_openssl_BN_MONT_CTX_free(montCtx.ctx)
+
+ montCtx.ctx = nil
+}
+
+func wrapMontgomeryContext(ctx *C.GO_BN_MONT_CTX) *MontgomeryContext {
+ c := &MontgomeryContext{
+ ctx: ctx,
+ }
+
+ runtime.SetFinalizer(c, finalizeMontgomeryContext)
+
+ return c
+}
+
+func NewMontgomeryContext() (*MontgomeryContext, error) {
+ ctx := C.go_openssl_BN_MONT_CTX_new()
+ if ctx == nil {
+ return nil, newOpenSSLError("BN_MONT_CTX_new")
+ }
+
+ return wrapMontgomeryContext(ctx), nil
+}
+
+func (c *MontgomeryContext) Set(m *Int, ctx *IntContext) error {
+ ret := C.go_openssl_BN_MONT_CTX_set(c.ctx, m.bn, ctx.ctx)
+ if ret != 1 {
+ return newOpenSSLError("BN_MONT_CTX_set")
+ }
+
+ return nil
+}
+
+func (c *MontgomeryContext) Destroy() {
+ finalizeMontgomeryContext(c)
+}
diff --git a/big/goopenssl.c b/big/goopenssl.c
new file mode 100644
index 0000000..a385dcf
--- /dev/null
+++ b/big/goopenssl.c
@@ -0,0 +1,267 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+// go:build !openssldev
+// +build !openssldev
+
+#include "goopenssl.h"
+
+#include
+#include
+
+static unsigned long
+version_num(void *handle)
+{
+ unsigned long (*fn)(void);
+ // OPENSSL_version_num is defined in OpenSSL 1.1.0 and 1.1.1.
+ fn = (unsigned long (*)(void))dlsym(handle, "OpenSSL_version_num");
+ if (fn != NULL)
+ return fn();
+
+ // SSLeay is defined in OpenSSL 1.0.2.
+ fn = (unsigned long (*)(void))dlsym(handle, "SSLeay");
+ if (fn != NULL)
+ return fn();
+
+ return 0;
+}
+
+int go_openssl_version_major(void *handle)
+{
+ unsigned int (*fn)(void);
+ // OPENSSL_version_major is supported since OpenSSL 3.
+ fn = (unsigned int (*)(void))dlsym(handle, "OPENSSL_version_major");
+ if (fn != NULL)
+ return (int)fn();
+
+ // If OPENSSL_version_major is not defined, try with OpenSSL 1 functions.
+ unsigned long num = version_num(handle);
+ if (num < 0x10000000L || num >= 0x20000000L)
+ return -1;
+
+ return 1;
+}
+
+int go_openssl_version_minor(void *handle)
+{
+ unsigned int (*fn)(void);
+ // OPENSSL_version_major is supported since OpenSSL 3.
+ fn = (unsigned int (*)(void))dlsym(handle, "OPENSSL_version_minor");
+ if (fn != NULL)
+ return (int)fn();
+
+ // If OPENSSL_version_major is not defined, try with OpenSSL 1 functions.
+ unsigned long num = version_num(handle);
+ // OpenSSL version number follows this schema:
+ // MNNFFPPS: major minor fix patch status.
+ if (num < 0x10000000L || num >= 0x10200000L)
+ {
+ // We only support minor version 0 and 1,
+ // so there is no need to implement an algorithm
+ // that decodes the version number into individual components.
+ return -1;
+ }
+
+ if (num >= 0x10100000L)
+ return 1;
+
+ return 0;
+}
+
+// Approach taken from .Net System.Security.Cryptography.Native
+// https://github.com/dotnet/runtime/blob/f64246ce08fb7a58221b2b7c8e68f69c02522b0d/src/libraries/Native/Unix/System.Security.Cryptography.Native/opensslshim.c
+
+#define DEFINEFUNC(ret, func, args, argscall) ret(*_g_##func) args;
+#define DEFINEFUNC_LEGACY_1_0(ret, func, args, argscall, res) DEFINEFUNC(ret, func, args, argscall)
+#define DEFINEFUNC_LEGACY_1(ret, func, args, argscall, res) DEFINEFUNC(ret, func, args, argscall)
+#define DEFINEFUNC_1_1(ret, func, args, argscall, res) DEFINEFUNC(ret, func, args, argscall)
+#define DEFINEFUNC_3_0(ret, func, args, argscall, res) DEFINEFUNC(ret, func, args, argscall)
+#define DEFINEFUNC_RENAMED_1_1(ret, func, oldfunc, args, argscall) DEFINEFUNC(ret, func, args, argscall)
+#define DEFINEFUNC_RENAMED_3_0(ret, func, oldfunc, args, argscall) DEFINEFUNC(ret, func, args, argscall)
+
+FOR_ALL_OPENSSL_FUNCTIONS
+
+#undef DEFINEFUNC
+#undef DEFINEFUNC_LEGACY_1_0
+#undef DEFINEFUNC_LEGACY_1
+#undef DEFINEFUNC_1_1
+#undef DEFINEFUNC_3_0
+#undef DEFINEFUNC_RENAMED_1_1
+#undef DEFINEFUNC_RENAMED_3_0
+
+// Load all the functions stored in FOR_ALL_OPENSSL_FUNCTIONS
+// and assign them to their corresponding function pointer
+// defined in goopenssl.h.
+void go_openssl_load_functions(void *handle, int major, int minor)
+{
+#define DEFINEFUNC_INTERNAL(name, func) \
+ _g_##name = dlsym(handle, func); \
+ if (_g_##name == NULL) \
+ { \
+ fprintf(stderr, "Cannot get required symbol " #func " from libcrypto version %d.%d\n", major, minor); \
+ abort(); \
+ }
+#define DEFINEFUNC(ret, func, args, argscall) \
+ DEFINEFUNC_INTERNAL(func, #func)
+#define DEFINEFUNC_LEGACY_1_0(ret, func, args, argscall, res) \
+ if (major == 1 && minor == 0) \
+ { \
+ DEFINEFUNC_INTERNAL(func, #func) \
+ }
+#define DEFINEFUNC_LEGACY_1(ret, func, args, argscall, res) \
+ if (major == 1) \
+ { \
+ DEFINEFUNC_INTERNAL(func, #func) \
+ }
+#define DEFINEFUNC_1_1(ret, func, args, argscall, res) \
+ if (major == 3 || (major == 1 && minor == 1)) \
+ { \
+ DEFINEFUNC_INTERNAL(func, #func) \
+ }
+#define DEFINEFUNC_3_0(ret, func, args, argscall, res) \
+ if (major == 3) \
+ { \
+ DEFINEFUNC_INTERNAL(func, #func) \
+ }
+#define DEFINEFUNC_RENAMED_1_1(ret, func, oldfunc, args, argscall) \
+ if (major == 1 && minor == 0) \
+ { \
+ DEFINEFUNC_INTERNAL(func, #oldfunc) \
+ } \
+ else \
+ { \
+ DEFINEFUNC_INTERNAL(func, #func) \
+ }
+#define DEFINEFUNC_RENAMED_3_0(ret, func, oldfunc, args, argscall) \
+ if (major == 1) \
+ { \
+ DEFINEFUNC_INTERNAL(func, #oldfunc) \
+ } \
+ else \
+ { \
+ DEFINEFUNC_INTERNAL(func, #func) \
+ }
+
+ FOR_ALL_OPENSSL_FUNCTIONS
+
+#undef DEFINEFUNC
+#undef DEFINEFUNC_LEGACY_1_0
+#undef DEFINEFUNC_LEGACY_1
+#undef DEFINEFUNC_1_1
+#undef DEFINEFUNC_3_0
+#undef DEFINEFUNC_RENAMED_1_1
+#undef DEFINEFUNC_RENAMED_3_0
+}
+
+// LEGACY
+struct bignum_st
+{
+ GO_BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit
+ * chunks. */
+ int top; /* Index of last used d +1. */
+ /* The next are internal book keeping for bn_expand. */
+ int dmax; /* Size of the d array. */
+ int neg; /* one if the number is negative */
+ int flags;
+};
+
+#define LEGACY_1_0_BN_set_flags(b, n) ((b)->flags |= (n))
+#define LEGACY_1_0_BN_get_flags(b, n) ((b)->flags & (n))
+
+void legacy_1_0_BN_set_flags(GO_BIGNUM *arg0, int arg1)
+{
+ LEGACY_1_0_BN_set_flags(arg0, arg1);
+}
+
+int legacy_1_0_BN_get_flags(const GO_BIGNUM *arg0, int arg1)
+{
+ return LEGACY_1_0_BN_get_flags(arg0, arg1);
+}
+
+int go_openssl_BN_num_bytes(const GO_BIGNUM *a)
+{
+ return (go_openssl_BN_num_bits(a) + 7) / 8;
+}
+
+int go_openssl_BN_mod(GO_BIGNUM *rem, const GO_BIGNUM *a, const GO_BIGNUM *m, GO_BN_CTX *ctx)
+{
+ return go_openssl_BN_div(NULL, rem, a, m, ctx);
+}
+
+/*
+ * BN_prime_checks_for_size() returns the number of Miller-Rabin iterations
+ * that will be done for checking that a random number is probably prime. The
+ * error rate for accepting a composite number as prime depends on the size of
+ * the prime |b|. The error rates used are for calculating an RSA key with 2 primes,
+ * and so the level is what you would expect for a key of double the size of the
+ * prime.
+ *
+ * This table is generated using the algorithm of FIPS PUB 186-4
+ * Digital Signature Standard (DSS), section F.1, page 117.
+ * (https://dx.doi.org/10.6028/NIST.FIPS.186-4)
+ *
+ * The following magma script was used to generate the output:
+ * securitybits:=125;
+ * k:=1024;
+ * for t:=1 to 65 do
+ * for M:=3 to Floor(2*Sqrt(k-1)-1) do
+ * S:=0;
+ * // Sum over m
+ * for m:=3 to M do
+ * s:=0;
+ * // Sum over j
+ * for j:=2 to m do
+ * s+:=(RealField(32)!2)^-(j+(k-1)/j);
+ * end for;
+ * S+:=2^(m-(m-1)*t)*s;
+ * end for;
+ * A:=2^(k-2-M*t);
+ * B:=8*(Pi(RealField(32))^2-6)/3*2^(k-2)*S;
+ * pkt:=2.00743*Log(2)*k*2^-k*(A+B);
+ * seclevel:=Floor(-Log(2,pkt));
+ * if seclevel ge securitybits then
+ * printf "k: %5o, security: %o bits (t: %o, M: %o)\n",k,seclevel,t,M;
+ * break;
+ * end if;
+ * end for;
+ * if seclevel ge securitybits then break; end if;
+ * end for;
+ *
+ * It can be run online at:
+ * http://magma.maths.usyd.edu.au/calc
+ *
+ * And will output:
+ * k: 1024, security: 129 bits (t: 6, M: 23)
+ *
+ * k is the number of bits of the prime, securitybits is the level we want to
+ * reach.
+ *
+ * prime length | RSA key size | # MR tests | security level
+ * -------------+--------------|------------+---------------
+ * (b) >= 6394 | >= 12788 | 3 | 256 bit
+ * (b) >= 3747 | >= 7494 | 3 | 192 bit
+ * (b) >= 1345 | >= 2690 | 4 | 128 bit
+ * (b) >= 1080 | >= 2160 | 5 | 128 bit
+ * (b) >= 852 | >= 1704 | 5 | 112 bit
+ * (b) >= 476 | >= 952 | 5 | 80 bit
+ * (b) >= 400 | >= 800 | 6 | 80 bit
+ * (b) >= 347 | >= 694 | 7 | 80 bit
+ * (b) >= 308 | >= 616 | 8 | 80 bit
+ * (b) >= 55 | >= 110 | 27 | 64 bit
+ * (b) >= 6 | >= 12 | 34 | 64 bit
+ */
+#define BN_prime_checks_for_size(b) ((b) >= 3747 ? 3 : (b) >= 1345 ? 4 \
+ : (b) >= 476 ? 5 \
+ : (b) >= 400 ? 6 \
+ : (b) >= 347 ? 7 \
+ : (b) >= 308 ? 8 \
+ : (b) >= 55 ? 27 \
+ : /* b >= 6 */ 34)
+
+int go_openssl_BN_prime_checks_for_size(int size)
+{
+ return BN_prime_checks_for_size(size);
+}
diff --git a/big/goopenssl.h b/big/goopenssl.h
new file mode 100644
index 0000000..41b3655
--- /dev/null
+++ b/big/goopenssl.h
@@ -0,0 +1,68 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+#ifndef GOOPENSSL_H
+#define GOOPENSSL_H
+
+// This header file describes the OpenSSL ABI as built for use in Go.
+
+#include "openssl_funcs.h"
+
+int go_openssl_thread_setup(void);
+
+// Define pointers to all the used OpenSSL functions.
+// Calling C function pointers from Go is currently not supported.
+// It is possible to circumvent this by using a C function wrapper.
+// https://pkg.go.dev/cmd/cgo
+#ifndef GO_OPENSSL_DEV
+int go_openssl_version_major(void *handle);
+int go_openssl_version_minor(void *handle);
+void go_openssl_load_functions(void *handle, int major, int minor);
+
+#define DEFINEFUNC(ret, func, args, argscall) \
+ extern ret(*_g_##func) args; \
+ static inline ret go_openssl_##func args \
+ { \
+ return _g_##func argscall; \
+ }
+#else /* GO_OPENSSL_DEV */
+int go_openssl_version_major(void);
+int go_openssl_version_minor(void);
+
+#define DEFINEFUNC(ret, func, args, argscall) \
+ extern ret go_openssl_##func args;
+#endif /* GO_OPENSSL_DEV */
+
+#define DEFINEFUNC_LEGACY_1_0(ret, func, args, argscall, res) \
+ DEFINEFUNC(ret, func, args, argscall)
+#define DEFINEFUNC_LEGACY_1(ret, func, args, argscall, res) \
+ DEFINEFUNC(ret, func, args, argscall)
+#define DEFINEFUNC_1_1(ret, func, args, argscall, res) \
+ DEFINEFUNC(ret, func, args, argscall)
+#define DEFINEFUNC_3_0(ret, func, args, argscall, res) \
+ DEFINEFUNC(ret, func, args, argscall)
+#define DEFINEFUNC_RENAMED_1_1(ret, func, oldfunc, args, argscall) \
+ DEFINEFUNC(ret, func, args, argscall)
+#define DEFINEFUNC_RENAMED_3_0(ret, func, oldfunc, args, argscall) \
+ DEFINEFUNC(ret, func, args, argscall)
+
+FOR_ALL_OPENSSL_FUNCTIONS
+
+#undef DEFINEFUNC
+#undef DEFINEFUNC_LEGACY_1_0
+#undef DEFINEFUNC_LEGACY_1
+#undef DEFINEFUNC_1_1
+#undef DEFINEFUNC_3_0
+#undef DEFINEFUNC_RENAMED_1_1
+#undef DEFINEFUNC_RENAMED_3_0
+
+void legacy_1_0_BN_set_flags(GO_BIGNUM *arg0, int arg1);
+
+int go_openssl_BN_num_bytes(const GO_BIGNUM *a);
+int go_openssl_BN_mod(GO_BIGNUM *rem, const GO_BIGNUM *a, const GO_BIGNUM *m, GO_BN_CTX *ctx);
+int go_openssl_BN_prime_checks_for_size(int size);
+
+#endif /* GOOPENSSL_H */
diff --git a/big/goopenssl_dev.c b/big/goopenssl_dev.c
new file mode 100644
index 0000000..1f89a0e
--- /dev/null
+++ b/big/goopenssl_dev.c
@@ -0,0 +1,193 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+// go:build openssldev
+// +build openssldev
+
+#include "goopenssl.h"
+
+#include
+
+int go_openssl_version_major(void)
+{
+ return OPENSSL_VERSION_MAJOR;
+}
+
+int go_openssl_version_minor(void)
+{
+ return OPENSSL_VERSION_MINOR;
+}
+
+#define DEFINEFUNC(ret, func, args, argscall) \
+ inline ret go_openssl_##func args \
+ { \
+ return func argscall; \
+ }
+
+#define DEFINEFUNC_RENAMED(ret, func, renamed, args, argscall) \
+ inline ret go_openssl_##func args \
+ { \
+ return renamed argscall; \
+ }
+
+#define DEFINEFUNC_DUMMY(ret, func, args, argscall, res) \
+ inline ret go_openssl_##func args \
+ { \
+ fprintf(stderr, "Cannot get required symbol " #func " from libcrypto\n"); \
+ abort(); \
+ return res; \
+ }
+
+#if OPENSSL_VERSION_MAJOR == 1 && OPENSSL_VERSION_MINOR == 0
+#define DEFINEFUNC_LEGACY_1_0(ret, func, args, argscall, res) \
+ DEFINEFUNC(ret, func, args, argscall)
+#else
+#define DEFINEFUNC_LEGACY_1_0(ret, func, args, argscall, res) \
+ DEFINEFUNC_DUMMY(ret, func, args, argscall, res)
+#endif
+
+#if OPENSSL_VERSION_MAJOR == 1
+#define DEFINEFUNC_LEGACY_1(ret, func, args, argscall, res) \
+ DEFINEFUNC(ret, func, args, argscall)
+#else
+#define DEFINEFUNC_LEGACY_1(ret, func, args, argscall, res) \
+ DEFINEFUNC_DUMMY(ret, func, args, argscall, res)
+#endif
+
+#if (OPENSSL_VERSION_MAJOR == 3 || (OPENSSL_VERSION_MAJOR == 1 && OPENSSL_VERSION_MINOR == 1))
+#define DEFINEFUNC_1_1(ret, func, args, argscall, res) \
+ DEFINEFUNC(ret, func, args, argscall)
+#else
+#define DEFINEFUNC_1_1(ret, func, args, argscall, res) \
+ DEFINEFUNC_DUMMY(ret, func, args, argscall, res)
+#endif
+
+#if OPENSSL_VERSION_MAJOR == 3
+#define DEFINEFUNC_3_0(ret, func, args, argscall, res) \
+ DEFINEFUNC(ret, func, args, argscall)
+#else
+#define DEFINEFUNC_3_0(ret, func, args, argscall, res) \
+ DEFINEFUNC_DUMMY(ret, func, args, argscall, res)
+#endif
+
+#if OPENSSL_VERSION_MAJOR == 1 && OPENSSL_VERSION_MINOR == 0
+#define DEFINEFUNC_RENAMED_1_1(ret, func, oldfunc, args, argscall) \
+ DEFINEFUNC_RENAMED(ret, func, oldfunc, args, argscall)
+#else
+#define DEFINEFUNC_RENAMED_1_1(ret, func, oldfunc, args, argscall) \
+ DEFINEFUNC(ret, func, args, argscall)
+#endif
+
+#if OPENSSL_VERSION_MAJOR == 1
+#define DEFINEFUNC_RENAMED_3_0(ret, func, oldfunc, args, argscall) \
+ DEFINEFUNC_RENAMED(ret, func, oldfunc, args, argscall)
+#else
+#define DEFINEFUNC_RENAMED_3_0(ret, func, oldfunc, args, argscall) \
+ DEFINEFUNC(ret, func, args, argscall)
+#endif
+
+FOR_ALL_OPENSSL_FUNCTIONS
+
+#undef DEFINEFUNC
+#undef DEFINEFUNC_RENAMED
+#undef DEFINEFUNC_DUMMY
+#undef DEFINEFUNC_LEGACY_1_0
+#undef DEFINEFUNC_LEGACY_1
+#undef DEFINEFUNC_1_1
+#undef DEFINEFUNC_3_0
+#undef DEFINEFUNC_RENAMED_1_1
+#undef DEFINEFUNC_RENAMED_3_0
+
+// LEGACY
+void legacy_1_0_BN_set_flags(GO_BIGNUM *arg0, int arg1)
+{
+ BN_set_flags(arg0, arg1);
+}
+
+int go_openssl_BN_num_bytes(const GO_BIGNUM *a)
+{
+ return (go_openssl_BN_num_bits(a) + 7) / 8;
+}
+
+int go_openssl_BN_mod(GO_BIGNUM *rem, const GO_BIGNUM *a, const GO_BIGNUM *m, GO_BN_CTX *ctx)
+{
+ return go_openssl_BN_div(NULL, rem, a, m, ctx);
+}
+
+/*
+ * BN_prime_checks_for_size() returns the number of Miller-Rabin iterations
+ * that will be done for checking that a random number is probably prime. The
+ * error rate for accepting a composite number as prime depends on the size of
+ * the prime |b|. The error rates used are for calculating an RSA key with 2 primes,
+ * and so the level is what you would expect for a key of double the size of the
+ * prime.
+ *
+ * This table is generated using the algorithm of FIPS PUB 186-4
+ * Digital Signature Standard (DSS), section F.1, page 117.
+ * (https://dx.doi.org/10.6028/NIST.FIPS.186-4)
+ *
+ * The following magma script was used to generate the output:
+ * securitybits:=125;
+ * k:=1024;
+ * for t:=1 to 65 do
+ * for M:=3 to Floor(2*Sqrt(k-1)-1) do
+ * S:=0;
+ * // Sum over m
+ * for m:=3 to M do
+ * s:=0;
+ * // Sum over j
+ * for j:=2 to m do
+ * s+:=(RealField(32)!2)^-(j+(k-1)/j);
+ * end for;
+ * S+:=2^(m-(m-1)*t)*s;
+ * end for;
+ * A:=2^(k-2-M*t);
+ * B:=8*(Pi(RealField(32))^2-6)/3*2^(k-2)*S;
+ * pkt:=2.00743*Log(2)*k*2^-k*(A+B);
+ * seclevel:=Floor(-Log(2,pkt));
+ * if seclevel ge securitybits then
+ * printf "k: %5o, security: %o bits (t: %o, M: %o)\n",k,seclevel,t,M;
+ * break;
+ * end if;
+ * end for;
+ * if seclevel ge securitybits then break; end if;
+ * end for;
+ *
+ * It can be run online at:
+ * http://magma.maths.usyd.edu.au/calc
+ *
+ * And will output:
+ * k: 1024, security: 129 bits (t: 6, M: 23)
+ *
+ * k is the number of bits of the prime, securitybits is the level we want to
+ * reach.
+ *
+ * prime length | RSA key size | # MR tests | security level
+ * -------------+--------------|------------+---------------
+ * (b) >= 6394 | >= 12788 | 3 | 256 bit
+ * (b) >= 3747 | >= 7494 | 3 | 192 bit
+ * (b) >= 1345 | >= 2690 | 4 | 128 bit
+ * (b) >= 1080 | >= 2160 | 5 | 128 bit
+ * (b) >= 852 | >= 1704 | 5 | 112 bit
+ * (b) >= 476 | >= 952 | 5 | 80 bit
+ * (b) >= 400 | >= 800 | 6 | 80 bit
+ * (b) >= 347 | >= 694 | 7 | 80 bit
+ * (b) >= 308 | >= 616 | 8 | 80 bit
+ * (b) >= 55 | >= 110 | 27 | 64 bit
+ * (b) >= 6 | >= 12 | 34 | 64 bit
+ */
+#define BN_prime_checks_for_size(b) ((b) >= 3747 ? 3 : (b) >= 1345 ? 4 \
+ : (b) >= 476 ? 5 \
+ : (b) >= 400 ? 6 \
+ : (b) >= 347 ? 7 \
+ : (b) >= 308 ? 8 \
+ : (b) >= 55 ? 27 \
+ : /* b >= 6 */ 34)
+
+int go_openssl_BN_prime_checks_for_size(int size)
+{
+ return BN_prime_checks_for_size(size);
+}
diff --git a/big/openssl.go b/big/openssl.go
new file mode 100644
index 0000000..c43c69a
--- /dev/null
+++ b/big/openssl.go
@@ -0,0 +1,183 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+//go:build !openssldev
+// +build !openssldev
+
+package big
+
+// #include "goopenssl.h"
+// #include
+// #cgo LDFLAGS: -ldl
+import "C"
+import (
+ "errors"
+ "runtime"
+ "strconv"
+ "strings"
+ "sync"
+ "syscall"
+ "unsafe"
+)
+
+var (
+ initOnce sync.Once
+ // errInit is set when first calling Init().
+ errInit error
+ // vMajor and vMinor hold the major/minor OpenSSL version.
+ // It is only populated if Init has been called.
+ vMajor, vMinor int
+)
+
+// knownVersions is a list of supported and well-known libcrypto.so suffixes in decreasing version order.
+//
+// FreeBSD library version numbering does not directly align to the version of OpenSSL.
+// Its preferred search order is 11 -> 111.
+//
+// Some distributions use 1.0.0 and others (such as Debian) 1.0.2 to refer to the same OpenSSL 1.0.2 version.
+//
+// Fedora derived distros use different naming for the version 1.0.x.
+var knownVersions = [...]string{"3", "1.1", "11", "111", "1.0.2", "1.0.0", "10"}
+
+func errUnsuportedVersion() error {
+ return errors.New("openssl: OpenSSL version: " + strconv.Itoa(vMajor) + "." + strconv.Itoa(vMinor) + " is not supported")
+}
+
+// Init loads and initializes OpenSSL.
+// It must be called before any other OpenSSL call.
+//
+// Only the first call to Init is effective,
+// subsequent calls will return the same error result as the one from the first call.
+//
+// If GO_OPENSSL_VERSION_OVERRIDE environment variable is not empty, its value will be appended to the OpenSSL shared library name
+// as a version suffix when calling dlopen. For example, "GO_OPENSSL_VERSION_OVERRIDE=1.1.1k-fips"
+// makes Init look for the shared library libcrypto.so.1.1.1k-fips.
+// If GO_OPENSSL_VERSION_OVERRIDE environment variable is empty, Init will try to load the OpenSSL shared library
+// using a list if supported and well-known version suffixes, going from higher to lower versions.
+func Init() error {
+ initOnce.Do(func() {
+ version, _ := syscall.Getenv("GO_OPENSSL_VERSION_OVERRIDE")
+ handle, err := loadLibrary(version)
+ if err != nil {
+ errInit = err
+ return
+ }
+
+ vMajor = int(C.go_openssl_version_major(handle))
+ vMinor = int(C.go_openssl_version_minor(handle))
+ if vMajor == -1 || vMinor == -1 {
+ errInit = errors.New("openssl: can't retrieve OpenSSL version")
+ return
+ }
+ var supported bool
+ if vMajor == 1 {
+ supported = vMinor == 0 || vMinor == 1
+ } else if vMajor == 3 {
+ // OpenSSL team guarantees API and ABI compatibility within the same major version since OpenSSL 3.
+ supported = true
+ }
+ if !supported {
+ errInit = errUnsuportedVersion()
+ return
+ }
+
+ C.go_openssl_load_functions(handle, C.int(vMajor), C.int(vMinor))
+ C.go_openssl_OPENSSL_init()
+ if vMajor == 1 && vMinor == 0 {
+ if C.go_openssl_thread_setup() != 1 {
+ errInit = newOpenSSLError("openssl: thread setup")
+ return
+ }
+ C.go_openssl_ERR_load_crypto_strings()
+ } else {
+ flags := C.uint64_t(C.GO_OPENSSL_INIT_LOAD_CONFIG | C.GO_OPENSSL_INIT_LOAD_CRYPTO_STRINGS)
+ if C.go_openssl_OPENSSL_init_crypto(flags, nil) != 1 {
+ errInit = newOpenSSLError("openssl: init crypto")
+ return
+ }
+ }
+ })
+
+ return errInit
+}
+
+func init() { //nolint:gochecknoinits
+ err := Init()
+ if err != nil {
+ panic(err)
+ }
+}
+
+func dlopen(version string) unsafe.Pointer {
+ ext := ".so"
+ if runtime.GOOS == "darwin" {
+ ext = ".dylib"
+ }
+
+ cv := C.CString("libcrypto" + ext + "." + version)
+ defer C.free(unsafe.Pointer(cv))
+ return C.dlopen(cv, C.RTLD_LAZY|C.RTLD_LOCAL)
+}
+
+func loadLibrary(version string) (unsafe.Pointer, error) {
+ if version != "" {
+ // If version is specified try to load it or error out.
+ handle := dlopen(version)
+ if handle == nil {
+ errstr := C.GoString(C.dlerror())
+ return nil, errors.New("openssl: can't load libcrypto.so." + version + ": " + errstr)
+ }
+ return handle, nil
+ }
+ for _, v := range knownVersions {
+ handle := dlopen(v)
+ if handle != nil {
+ return handle, nil
+ }
+ }
+ return nil, errors.New("openssl: can't load libcrypto.so using any known version suffix")
+}
+
+// VersionText returns the version text of the OpenSSL currently loaded.
+func VersionText() string {
+ return C.GoString(C.go_openssl_OpenSSL_version(0))
+}
+
+func isLegacy1() bool {
+ return vMajor == 1
+}
+
+func is11() bool {
+ return (vMajor == 1 && vMinor == 1)
+}
+
+func isGeq11() bool {
+ return is30() || is11()
+}
+
+func is30() bool {
+ return vMajor == 3
+}
+
+func newOpenSSLError(msg string) error {
+ var b strings.Builder
+ var e C.ulong
+
+ b.WriteString(msg)
+ b.WriteString("\nopenssl error(s):\n")
+
+ for {
+ e = C.go_openssl_ERR_get_error()
+ if e == 0 {
+ break
+ }
+ var buf [256]byte
+ C.go_openssl_ERR_error_string_n(e, (*C.char)(unsafe.Pointer(&buf[0])), 256)
+ b.Write(buf[:])
+ b.WriteByte('\n')
+ }
+ return errors.New(b.String())
+}
diff --git a/big/openssl_dev.go b/big/openssl_dev.go
new file mode 100644
index 0000000..cc35917
--- /dev/null
+++ b/big/openssl_dev.go
@@ -0,0 +1,128 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+//go:build openssldev
+// +build openssldev
+
+package big
+
+// #cgo CFLAGS: -DGO_OPENSSL_DEV
+// #cgo pkg-config: libcrypto
+// #include "goopenssl.h"
+import "C"
+import (
+ "errors"
+ "strconv"
+ "strings"
+ "sync"
+ "unsafe"
+)
+
+var (
+ initOnce sync.Once
+ // errInit is set when first calling Init().
+ errInit error
+ // vMajor and vMinor hold the major/minor OpenSSL version.
+ // It is only populated if Init has been called.
+ vMajor, vMinor int
+)
+
+func errUnsuportedVersion() error {
+ return errors.New("openssl: OpenSSL version: " + strconv.Itoa(vMajor) + "." + strconv.Itoa(vMinor) + " is not supported")
+}
+
+// Init loads and initializes OpenSSL.
+// It must be called before any other OpenSSL call.
+//
+// Only the first call to Init is effective,
+// subsequent calls will return the same error result as the one from the first call.
+func Init() error {
+ initOnce.Do(func() {
+ vMajor = int(C.go_openssl_version_major())
+ vMinor = int(C.go_openssl_version_minor())
+
+ if vMajor == -1 || vMinor == -1 {
+ errInit = errors.New("openssl: can't retrieve OpenSSL version")
+ return
+ }
+ var supported bool
+ if vMajor == 1 {
+ supported = vMinor == 0 || vMinor == 1
+ } else if vMajor == 3 {
+ // OpenSSL team guarantees API and ABI compatibility within the same major version since OpenSSL 3.
+ supported = true
+ }
+ if !supported {
+ errInit = errUnsuportedVersion()
+ return
+ }
+
+ C.go_openssl_OPENSSL_init()
+ if vMajor == 1 && vMinor == 0 {
+ if C.go_openssl_thread_setup() != 1 {
+ errInit = newOpenSSLError("openssl: thread setup")
+ return
+ }
+ C.go_openssl_ERR_load_crypto_strings()
+ } else {
+ flags := C.uint64_t(C.GO_OPENSSL_INIT_LOAD_CONFIG | C.GO_OPENSSL_INIT_LOAD_CRYPTO_STRINGS)
+ if C.go_openssl_OPENSSL_init_crypto(flags, nil) != 1 {
+ errInit = newOpenSSLError("openssl: init crypto")
+ return
+ }
+ }
+ })
+
+ return errInit
+}
+
+func init() {
+ err := Init()
+ if err != nil {
+ panic(err)
+ }
+}
+
+// VersionText returns the version text of the OpenSSL currently loaded.
+func VersionText() string {
+ return C.GoString(C.go_openssl_OpenSSL_version(0))
+}
+
+func isLegacy1() bool {
+ return vMajor == 1
+}
+
+func is11() bool {
+ return (vMajor == 1 && vMinor == 1)
+}
+
+func isGeq11() bool {
+ return is30() || is11()
+}
+
+func is30() bool {
+ return vMajor == 3
+}
+
+func newOpenSSLError(msg string) error {
+ var b strings.Builder
+ var e C.ulong
+
+ b.WriteString(msg)
+ b.WriteString("\nopenssl error(s):\n")
+
+ for {
+ e = C.go_openssl_ERR_get_error()
+ if e == 0 {
+ break
+ }
+ var buf [256]byte
+ C.go_openssl_ERR_error_string_n(e, (*C.char)(unsafe.Pointer(&buf[0])), 256)
+ b.Write(buf[:])
+ b.WriteByte('\n')
+ }
+ return errors.New(b.String())
+}
diff --git a/big/openssl_funcs.h b/big/openssl_funcs.h
new file mode 100644
index 0000000..a6bf806
--- /dev/null
+++ b/big/openssl_funcs.h
@@ -0,0 +1,181 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+#ifndef OPENSSL_FUNCS_H
+#define OPENSSL_FUNCS_H
+
+#include // size_t
+#include // uint64_t
+
+#ifdef GO_OPENSSL_DEV
+#include
+#include
+#include
+#include
+
+#if !defined(OPENSSL_VERSION_MAJOR)
+#define OPENSSL_VERSION_MAJOR (OPENSSL_VERSION_NUMBER >> 28)
+#endif
+
+#if !defined(OPENSSL_VERSION_MINOR)
+#define OPENSSL_VERSION_MINOR ((OPENSSL_VERSION_NUMBER >> 20) & 0x000000FFL)
+#endif
+
+#if !(OPENSSL_VERSION_MAJOR == 1 && OPENSSL_VERSION_MINOR == 0)
+enum
+{
+ GO_OPENSSL_INIT_LOAD_CRYPTO_STRINGS = OPENSSL_INIT_LOAD_CRYPTO_STRINGS,
+ GO_OPENSSL_INIT_LOAD_CONFIG = OPENSSL_INIT_LOAD_CONFIG,
+};
+#else
+// dummy values for legacy library compilation
+enum
+{
+ GO_OPENSSL_INIT_LOAD_CRYPTO_STRINGS = 0,
+ GO_OPENSSL_INIT_LOAD_CONFIG = 1,
+};
+#endif
+
+typedef BN_ULONG GO_BN_ULONG;
+
+enum
+{
+ /*
+ * avoid leaking exponent information through timing,
+ * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime,
+ * BN_div() will call BN_div_no_branch,
+ * BN_mod_inverse() will call bn_mod_inverse_no_branch.
+ */
+ GO_BN_FLG_CONSTTIME = BN_FLG_CONSTTIME,
+};
+
+#else /* !GO_OPENSSL_DEV */
+
+enum
+{
+ GO_OPENSSL_INIT_LOAD_CRYPTO_STRINGS = 0x00000002L,
+ GO_OPENSSL_INIT_LOAD_CONFIG = 0x00000040L,
+};
+
+#ifdef __UINT64_TYPE__
+typedef __UINT64_TYPE__ GO_BN_ULONG;
+#else
+typedef __UINT32_TYPE__ GO_BN_ULONG;
+#endif
+
+enum
+{
+ /*
+ * avoid leaking exponent information through timing,
+ * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime,
+ * BN_div() will call BN_div_no_branch,
+ * BN_mod_inverse() will call bn_mod_inverse_no_branch.
+ */
+ GO_BN_FLG_CONSTTIME = 0x04,
+};
+
+#endif /* GO_OPENSSL_DEV */
+
+typedef struct ossl_init_settings_st GO_OPENSSL_INIT_SETTINGS;
+typedef struct ossl_lib_ctx_st GO_OSSL_LIB_CTX;
+typedef struct bignum_st GO_BIGNUM;
+typedef struct bignum_ctx GO_BN_CTX;
+typedef struct bn_mont_ctx_st GO_BN_MONT_CTX;
+typedef struct bn_gencb_st GO_BN_GENCB;
+
+// List of all functions from the libcrypto that are used in this package.
+// Forgetting to add a function here results in build failure with message reporting the function
+// that needs to be added.
+//
+// The purpose of FOR_ALL_OPENSSL_FUNCTIONS is to define all libcrypto functions
+// without depending on the openssl headers so it is easier to use this package
+// with an openssl version different that the one used at build time.
+//
+// The following macros may not be defined at this point,
+// they are not resolved here but just accumulated in FOR_ALL_OPENSSL_FUNCTIONS.
+//
+// DEFINEFUNC defines and loads openssl functions that can be directly called from Go as their signatures match
+// the OpenSSL API and do not require special logic.
+// The process will be aborted if the function can't be loaded.
+//
+// DEFINEFUNC_LEGACY_1_0 acts like DEFINEFUNC but only aborts the process if the function can't be loaded
+// when using 1.0.x. This indicates the function is required when using 1.0.x, but is unused when using later versions.
+// It also might not exist in later versions.
+//
+// DEFINEFUNC_LEGACY_1 acts like DEFINEFUNC but only aborts the process if the function can't be loaded
+// when using 1.x. This indicates the function is required when using 1.x, but is unused when using later versions.
+// It also might not exist in later versions.
+//
+// DEFINEFUNC_1_1 acts like DEFINEFUNC but only aborts the process if function can't be loaded
+// when using 1.1.0 or higher.
+//
+// DEFINEFUNC_3_0 acts like DEFINEFUNC but only aborts the process if function can't be loaded
+// when using 3.0.0 or higher.
+//
+// DEFINEFUNC_RENAMED_1_1 acts like DEFINEFUNC but tries to load the function using the new name when using >= 1.1.x
+// and the old name when using 1.0.2. In both cases the function will have the new name.
+//
+// DEFINEFUNC_RENAMED_3_0 acts like DEFINEFUNC but tries to load the function using the new name when using >= 3.x
+// and the old name when using 1.x. In both cases the function will have the new name.
+
+#define FOR_ALL_OPENSSL_FUNCTIONS \
+ DEFINEFUNC(unsigned long, ERR_get_error, (void), ()) \
+ DEFINEFUNC(void, ERR_error_string_n, (unsigned long e, char *buf, size_t len), (e, buf, len)) \
+ DEFINEFUNC_RENAMED_1_1(const char *, OpenSSL_version, SSLeay_version, (int type), (type)) \
+ DEFINEFUNC(void, OPENSSL_init, (void), ()) \
+ DEFINEFUNC_LEGACY_1_0(void, ERR_load_crypto_strings, (void), (), ) \
+ DEFINEFUNC_LEGACY_1_0(int, CRYPTO_num_locks, (void), (), -1) \
+ DEFINEFUNC_LEGACY_1_0(void, CRYPTO_set_id_callback, (unsigned long (*id_function)(void)), (id_function), ) \
+ DEFINEFUNC_LEGACY_1_0(void, CRYPTO_set_locking_callback, (void (*locking_function)(int mode, int n, const char *file, int line)), (locking_function), ) \
+ DEFINEFUNC_1_1(int, OPENSSL_init_crypto, (uint64_t ops, const GO_OPENSSL_INIT_SETTINGS *settings), (ops, settings), -1) \
+ DEFINEFUNC(GO_BIGNUM *, BN_new, (void), ()) \
+ DEFINEFUNC_1_1(GO_BIGNUM *, BN_secure_new, (void), (), NULL) \
+ DEFINEFUNC(void, BN_free, (GO_BIGNUM * arg0), (arg0)) \
+ DEFINEFUNC(void, BN_clear_free, (GO_BIGNUM * arg0), (arg0)) \
+ DEFINEFUNC(const GO_BIGNUM *, BN_value_one, (void), ()) \
+ DEFINEFUNC(char *, BN_bn2dec, (const GO_BIGNUM *arg0), (arg0)) \
+ DEFINEFUNC(char *, BN_bn2hex, (const GO_BIGNUM *arg0), (arg0)) \
+ DEFINEFUNC(int, BN_generate_prime_ex, (GO_BIGNUM * ret, int bits, int safe, const GO_BIGNUM *add, const GO_BIGNUM *rem, GO_BN_GENCB *cb), (ret, bits, safe, add, rem, cb)) \
+ DEFINEFUNC_3_0(int, BN_generate_prime_ex2, (GO_BIGNUM * arg0, int arg1, int arg2, const GO_BIGNUM *arg3, const GO_BIGNUM *arg4, GO_BN_GENCB *arg5, GO_BN_CTX *arg6), (arg0, arg1, arg2, arg3, arg4, arg5, arg6), -1) \
+ DEFINEFUNC_LEGACY_1(int, BN_is_prime_ex, (const GO_BIGNUM *arg0, int arg1, GO_BN_CTX *arg2, GO_BN_GENCB *arg3), (arg0, arg1, arg2, arg3), -1) \
+ DEFINEFUNC_3_0(int, BN_check_prime, (const GO_BIGNUM *arg0, GO_BN_CTX *arg1, GO_BN_GENCB *arg2), (arg0, arg1, arg2), -1) \
+ DEFINEFUNC(int, BN_add, (GO_BIGNUM * r, const GO_BIGNUM *a, const GO_BIGNUM *b), (r, a, b)) \
+ DEFINEFUNC(int, BN_sub, (GO_BIGNUM * r, const GO_BIGNUM *a, const GO_BIGNUM *b), (r, a, b)) \
+ DEFINEFUNC(int, BN_mul, (GO_BIGNUM * arg0, const GO_BIGNUM *arg1, const GO_BIGNUM *arg2, GO_BN_CTX *arg3), (arg0, arg1, arg2, arg3)) \
+ DEFINEFUNC(int, BN_mod_mul, (GO_BIGNUM * arg0, const GO_BIGNUM *arg1, const GO_BIGNUM *arg2, const GO_BIGNUM *arg3, GO_BN_CTX *arg4), (arg0, arg1, arg2, arg3, arg4)) \
+ DEFINEFUNC(int, BN_mod_mul_montgomery, (GO_BIGNUM * arg0, const GO_BIGNUM *arg1, const GO_BIGNUM *arg2, GO_BN_MONT_CTX *arg3, GO_BN_CTX *arg4), (arg0, arg1, arg2, arg3, arg4)) \
+ DEFINEFUNC(int, BN_div, (GO_BIGNUM * dv, GO_BIGNUM * rem, const GO_BIGNUM *m, const GO_BIGNUM *d, GO_BN_CTX *ctx), (dv, rem, m, d, ctx)) \
+ DEFINEFUNC(int, BN_exp, (GO_BIGNUM * r, GO_BIGNUM * a, GO_BIGNUM * p, GO_BN_CTX * ctx), (r, a, p, ctx)) \
+ DEFINEFUNC(int, BN_mod_exp, (GO_BIGNUM * r, const GO_BIGNUM *a, const GO_BIGNUM *p, const GO_BIGNUM *m, GO_BN_CTX *ctx), (r, a, p, m, ctx)) \
+ DEFINEFUNC(int, BN_mod_exp_mont, (GO_BIGNUM * r, const GO_BIGNUM *a, const GO_BIGNUM *p, const GO_BIGNUM *m, GO_BN_CTX *ctx, GO_BN_MONT_CTX *m_ctx), (r, a, p, m, ctx, m_ctx)) \
+ DEFINEFUNC(GO_BIGNUM *, BN_mod_inverse, (GO_BIGNUM * ret, const GO_BIGNUM *a, const GO_BIGNUM *n, GO_BN_CTX *ctx), (ret, a, n, ctx)) \
+ DEFINEFUNC(int, BN_num_bits, (const GO_BIGNUM *arg0), (arg0)) \
+ DEFINEFUNC(GO_BIGNUM *, BN_bin2bn, (const unsigned char *arg0, int arg1, GO_BIGNUM *arg2), (arg0, arg1, arg2)) \
+ DEFINEFUNC(int, BN_dec2bn, (GO_BIGNUM * *arg0, const char *arg1), (arg0, arg1)) \
+ DEFINEFUNC(int, BN_hex2bn, (GO_BIGNUM * *arg0, const char *arg1), (arg0, arg1)) \
+ DEFINEFUNC(int, BN_set_word, (GO_BIGNUM * arg0, GO_BN_ULONG arg1), (arg0, arg1)) \
+ DEFINEFUNC(int, BN_bn2bin, (const GO_BIGNUM *arg0, unsigned char *arg1), (arg0, arg1)) \
+ DEFINEFUNC_1_1(int, BN_bn2binpad, (const GO_BIGNUM *arg0, unsigned char *arg1, int arg2), (arg0, arg1, arg2), -1) \
+ DEFINEFUNC(int, BN_lshift, (GO_BIGNUM * arg0, const GO_BIGNUM *arg1, int arg2), (arg0, arg1, arg2)) \
+ DEFINEFUNC(int, BN_rshift, (GO_BIGNUM * arg0, const GO_BIGNUM *arg1, int arg2), (arg0, arg1, arg2)) \
+ DEFINEFUNC(GO_BN_ULONG, BN_get_word, (const GO_BIGNUM *arg0), (arg0)) \
+ DEFINEFUNC(GO_BIGNUM *, BN_copy, (GO_BIGNUM * arg0, const GO_BIGNUM *arg1), (arg0, arg1)) \
+ DEFINEFUNC(int, BN_rand_range, (GO_BIGNUM * arg0, const GO_BIGNUM *arg1), (arg0, arg1)) \
+ DEFINEFUNC(int, BN_cmp, (GO_BIGNUM * arg0, const GO_BIGNUM *arg1), (arg0, arg1)) \
+ DEFINEFUNC(GO_BN_CTX *, BN_CTX_new, (void), ()) \
+ DEFINEFUNC_3_0(GO_BN_CTX *, BN_CTX_new_ex, (GO_OSSL_LIB_CTX * arg0), (arg0), NULL) \
+ DEFINEFUNC_1_1(GO_BN_CTX *, BN_CTX_secure_new, (void), (), NULL) \
+ DEFINEFUNC_3_0(GO_BN_CTX *, BN_CTX_secure_new_ex, (GO_OSSL_LIB_CTX * arg0), (arg0), NULL) \
+ DEFINEFUNC(void, BN_CTX_free, (GO_BN_CTX * arg0), (arg0)) \
+ DEFINEFUNC(void, BN_CTX_start, (GO_BN_CTX * arg0), (arg0)) \
+ DEFINEFUNC(void, BN_CTX_end, (GO_BN_CTX * arg0), (arg0)) \
+ DEFINEFUNC(GO_BIGNUM *, BN_CTX_get, (GO_BN_CTX * arg0), (arg0)) \
+ DEFINEFUNC_1_1(void, BN_set_flags, (GO_BIGNUM * arg0, int arg1), (arg0, arg1), ) \
+ DEFINEFUNC(GO_BN_MONT_CTX *, BN_MONT_CTX_new, (void), ()) \
+ DEFINEFUNC(void, BN_MONT_CTX_free, (GO_BN_MONT_CTX * arg0), (arg0)) \
+ DEFINEFUNC(int, BN_MONT_CTX_set, (GO_BN_MONT_CTX * arg0, const GO_BIGNUM *arg1, GO_BN_CTX *arg2), (arg0, arg1, arg2))
+
+#endif /* OPENSSL_FUNCS_H */
diff --git a/big/openssl_lock_setup.c b/big/openssl_lock_setup.c
new file mode 100644
index 0000000..9f0d6c5
--- /dev/null
+++ b/big/openssl_lock_setup.c
@@ -0,0 +1,70 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+#include "goopenssl.h"
+
+#include
+#include
+
+#if defined(_WIN32) || defined(_WIN64)
+
+#include
+
+#define MUTEX_TYPE HANDLE
+#define MUTEX_SETUP(x) (x = CreateMutex(NULL, FALSE, NULL))
+#define MUTEX_CLEANUP(x) CloseHandle(x)
+#define MUTEX_LOCK(x) WaitForSingleObject(x, INFINITE)
+#define MUTEX_UNLOCK(x) ReleaseMutex(&(x))
+#define THREAD_ID GetCurrentThreadId()
+
+#else /* !(defined(_WIN32) || defined(_WIN64)) */
+
+#include
+
+#define _GNU_SOURCE
+#include
+
+#define MUTEX_TYPE pthread_mutex_t
+#define MUTEX_SETUP(x) pthread_mutex_init(&(x), NULL)
+#define MUTEX_CLEANUP(x) pthread_mutex_destroy(&(x))
+#define MUTEX_LOCK(x) pthread_mutex_lock(&(x))
+#define MUTEX_UNLOCK(x) pthread_mutex_unlock(&(x))
+#define THREAD_ID pthread_self()
+#endif
+
+#ifndef GO_OPENSSL_DEV
+#define CRYPTO_LOCK 1
+#endif
+
+/* This array will store all of the mutexes available to OpenSSL. */
+static MUTEX_TYPE *mutex_buf = NULL;
+
+static void locking_function(int mode, int n, const char *file, int line)
+{
+ if (mode & CRYPTO_LOCK)
+ MUTEX_LOCK(mutex_buf[n]);
+ else
+ MUTEX_UNLOCK(mutex_buf[n]);
+}
+
+static unsigned long id_function(void)
+{
+ return ((unsigned long)THREAD_ID);
+}
+
+int go_openssl_thread_setup(void)
+{
+ int i;
+
+ mutex_buf = malloc(go_openssl_CRYPTO_num_locks() * sizeof(MUTEX_TYPE));
+ if (!mutex_buf)
+ return 0;
+ for (i = 0; i < go_openssl_CRYPTO_num_locks(); i++)
+ MUTEX_SETUP(mutex_buf[i]);
+ go_openssl_CRYPTO_set_id_callback(id_function);
+ go_openssl_CRYPTO_set_locking_callback(locking_function);
+ return 1;
+}
diff --git a/big/openssl_test.go b/big/openssl_test.go
new file mode 100644
index 0000000..ddbcd4b
--- /dev/null
+++ b/big/openssl_test.go
@@ -0,0 +1,26 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package big_test
+
+import (
+ "fmt"
+ "os"
+ "testing"
+
+ "github.com/matteoarella/pedersen/big"
+)
+
+func TestMain(m *testing.M) {
+ if err := big.Init(); err != nil {
+ // An error here could mean that this Linux distro does not have a supported OpenSSL version
+ // or that there is a bug in the Init code.
+ panic(err)
+ }
+
+ fmt.Println("OpenSSL version:", big.VersionText())
+ os.Exit(m.Run())
+}
diff --git a/cmd/pedersen/pedersen.go b/cmd/pedersen/pedersen.go
new file mode 100644
index 0000000..6db8b8b
--- /dev/null
+++ b/cmd/pedersen/pedersen.go
@@ -0,0 +1,19 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package main
+
+import (
+ "os"
+
+ "github.com/matteoarella/pedersen/internal/cmd"
+)
+
+func main() {
+ if err := cmd.Execute(); err != nil {
+ os.Exit(1)
+ }
+}
diff --git a/combine.go b/combine.go
new file mode 100644
index 0000000..6192583
--- /dev/null
+++ b/combine.go
@@ -0,0 +1,165 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package pedersen
+
+import (
+ "github.com/matteoarella/pedersen/big"
+ "golang.org/x/sync/errgroup"
+)
+
+type combineValue struct {
+ index int
+ value *big.Int
+}
+
+func (p *Pedersen) combine(
+ ctx *big.IntContext,
+ index int,
+ abscissae []*big.Int,
+ parts []SecretPart,
+) (combineValue, error) {
+ var (
+ xSamples []*big.Int
+ ySamples []*big.Int
+ )
+
+ for idx, p := range parts {
+ if (SecretPart{}) == p {
+ continue
+ }
+
+ ySamples = append(ySamples, p.SShare)
+ xSamples = append(xSamples, abscissae[idx])
+ }
+
+ ctx.Attach()
+ defer ctx.Detach()
+
+ zero, err := ctx.GetInt()
+ if err != nil {
+ return combineValue{}, err
+ }
+
+ if err := zero.SetUInt64(0); err != nil {
+ return combineValue{}, err
+ }
+
+ secret, err := interpolatePolynomial(ctx, xSamples, ySamples, zero, p.group.Q)
+ if err != nil {
+ return combineValue{}, err
+ }
+
+ return combineValue{
+ index: index,
+ value: secret,
+ }, nil
+}
+
+func bigIntUnpadding(ctx *big.IntContext, n *big.Int) ([]byte, error) {
+ ctx.Attach()
+ defer ctx.Detach()
+
+ // extract leading zeros info from trailing bytes
+ mask, err := ctx.GetInt()
+ if err != nil {
+ return nil, err
+ }
+ if err := mask.SetUInt64(0x00000000FFFFFFFF); err != nil {
+ return nil, err
+ }
+
+ if err := mask.And(n, mask); err != nil {
+ return nil, err
+ }
+
+ zeros := mask.Uint64()
+
+ // cut trailer
+ if err := n.Rsh(n, zerosInfoSizeBytes*8); err != nil {
+ return nil, err
+ }
+
+ res := make([]byte, zeros)
+
+ for i := 0; i < int(zeros); i++ {
+ res[i] = 0
+ }
+
+ nBytes, err := n.Bytes()
+ if err != nil {
+ return nil, err
+ }
+
+ return append(res, nBytes...), nil // nozero
+}
+
+// Combine combines the secret shares into the original secret.
+func (p *Pedersen) Combine(shares *Shares) ([]byte, error) {
+ err := p.validateShares(shares)
+ if err != nil {
+ return nil, err
+ }
+
+ splittedLen := len(shares.Parts[0])
+ values := make([]*big.Int, splittedLen)
+ concLimit := p.adjustConcLimit(splittedLen)
+ chunksIndex := p.balanceIndices(splittedLen, concLimit)
+ group := errgroup.Group{}
+ group.SetLimit(concLimit)
+
+ for _, chunk := range chunksIndex {
+ chunk := chunk
+
+ group.Go(func() error {
+ ctx, err := big.NewIntContext()
+ if err != nil {
+ return err
+ }
+ defer ctx.Destroy()
+
+ parts := make([]SecretPart, p.parts)
+
+ for idx := chunk.start; idx < chunk.end; idx++ {
+ for shareIdx := 0; shareIdx < p.parts; shareIdx++ {
+ parts[shareIdx] = shares.Parts[shareIdx][idx]
+ }
+
+ value, err := p.combine(ctx, idx, shares.Abscissae, parts)
+ if err != nil {
+ return err
+ }
+
+ values[value.index] = value.value
+ }
+
+ return nil
+ })
+ }
+
+ err = group.Wait()
+ if err != nil {
+ return nil, err
+ }
+
+ var res []byte
+ ctx, err := big.NewIntContext()
+ if err != nil {
+ return nil, err
+ }
+ defer ctx.Destroy()
+
+ for i := 0; i < splittedLen; i++ {
+ chunk, err := bigIntUnpadding(ctx, values[i])
+ if err != nil {
+ return nil, err
+ }
+
+ res = append(res, chunk...)
+ }
+
+ return res, nil
+}
diff --git a/combine_test.go b/combine_test.go
new file mode 100644
index 0000000..51df896
--- /dev/null
+++ b/combine_test.go
@@ -0,0 +1,232 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package pedersen_test
+
+import (
+ "crypto/rand"
+ mrand "math/rand"
+ "testing"
+ "time"
+
+ "github.com/matteoarella/pedersen"
+
+ "github.com/stretchr/testify/assert"
+ "github.com/stretchr/testify/require"
+)
+
+type pedersenCombineTestCases struct {
+ pedersenTestCases
+ shares *pedersen.Shares
+ secret []byte
+}
+
+func TestPedersenCombineInvalid(t *testing.T) {
+ group := getTestSchnorrGroup(t)
+
+ testCases := []pedersenCombineTestCases{
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "nil shares",
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ shares: nil,
+ },
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "wrong shares parts len",
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ shares: &pedersen.Shares{
+ Parts: [][]pedersen.SecretPart{
+ {
+ pedersen.SecretPart{},
+ pedersen.SecretPart{},
+ },
+ },
+ },
+ },
+ }
+
+ for _, scenario := range testCases {
+ t.Run(scenario.description, func(t *testing.T) {
+ p, err := pedersen.NewPedersen(scenario.parameters.parts, scenario.parameters.threshold, scenario.options...)
+ require.NoError(t, err)
+ require.NotNil(t, p)
+
+ _, err = p.Combine(scenario.shares)
+ require.Error(t, err)
+ })
+ }
+}
+
+func getRandomIndexSubset(n, size int) []int {
+ mrand.Seed(time.Now().Unix())
+ return mrand.Perm(n)[0:size]
+}
+
+func getSharesSubset(s *pedersen.Shares, threshold uint) *pedersen.Shares {
+ n := len(s.Parts)
+ shares := &pedersen.Shares{
+ Abscissae: s.Abscissae,
+ Parts: make([][]pedersen.SecretPart, n),
+ Commitments: s.Commitments,
+ }
+
+ chunksCount := len(s.Parts[0])
+
+ for idx := 0; idx < n; idx++ {
+ shares.Parts[idx] = make([]pedersen.SecretPart, chunksCount)
+ }
+
+ for chunkIndex := 0; chunkIndex < chunksCount; chunkIndex++ {
+ indexes := getRandomIndexSubset(n, int(threshold))
+
+ for _, idx := range indexes {
+ shares.Parts[idx][chunkIndex] = s.Parts[idx][chunkIndex]
+ }
+ }
+
+ return shares
+}
+
+func TestPedersenCombineValid(t *testing.T) {
+ group := getTestSchnorrGroup(t)
+
+ randomSecret := make([]byte, 128)
+ _, err := rand.Read(randomSecret)
+ require.NoError(t, err)
+
+ testCases := []pedersenCombineTestCases{
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "valid combine random secret",
+ parameters: pedersenParameters{
+ parts: 10,
+ threshold: 5,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ secret: randomSecret,
+ },
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "valid combine secret with heading zeros",
+ parameters: pedersenParameters{
+ parts: 10,
+ threshold: 5,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ secret: []byte{0, 0, 0, 1, 2, 3, 4, 5},
+ },
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "valid combine secret with heading zero chunks",
+ parameters: pedersenParameters{
+ parts: 10,
+ threshold: 5,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ secret: []byte{0x0, 0x0, 0x2d, 0x33, 0x0, 0x0, 0xe7, 0x0, 0x0, 0x1c, 0x82, 0xa4, 0x4c, 0xcb, 0x11, 0x88},
+ },
+ }
+
+ for _, scenario := range testCases {
+ t.Run(scenario.description, func(t *testing.T) {
+ p, err := pedersen.NewPedersen(scenario.parameters.parts, scenario.parameters.threshold, scenario.options...)
+ require.NoError(t, err)
+ require.NotNil(t, p)
+
+ shares, err := p.Split(scenario.secret, nil)
+ require.NoError(t, err)
+ require.NotNil(t, shares)
+
+ // combine full shares
+ secret, err := p.Combine(shares)
+ require.NoError(t, err)
+ require.NotNil(t, secret)
+ assert.Equal(t, scenario.secret, secret)
+
+ // combine subset of shares
+ subset := getSharesSubset(shares, uint(p.GetThreshold()))
+
+ secret, err = p.Combine(subset)
+ require.NoError(t, err)
+ require.NotNil(t, secret)
+ assert.Equal(t, scenario.secret, secret)
+ })
+ }
+}
+
+func benchmarkCombineCase(b *testing.B, groupSize, parts, threshold int) {
+ b.Helper()
+
+ group, err := pedersen.NewSchnorrGroup(groupSize)
+ require.NoError(b, err)
+
+ randomSecret := make([]byte, 256)
+ _, err = rand.Read(randomSecret)
+ require.NoError(b, err)
+
+ p, err := pedersen.NewPedersen(parts, threshold, pedersen.CyclicGroup(group))
+ require.NoError(b, err)
+ require.NotNil(b, p)
+
+ shares, err := p.Split(randomSecret, nil)
+ require.NoError(b, err)
+ require.NotNil(b, shares)
+
+ b.ResetTimer()
+
+ for i := 0; i < b.N; i++ {
+ _, err = p.Combine(shares)
+ require.NoError(b, err)
+ }
+}
+
+func BenchmarkPedersenCombine_1024_5_3(b *testing.B) {
+ benchmarkCombineCase(b, 1024, 5, 3)
+}
+
+func BenchmarkPedersenCombine_1024_7_4(b *testing.B) {
+ benchmarkCombineCase(b, 1024, 7, 4)
+}
+
+func BenchmarkPedersenCombine_1024_10_5(b *testing.B) {
+ benchmarkCombineCase(b, 1024, 10, 5)
+}
+
+func BenchmarkPedersenCombine_2048_5_3(b *testing.B) {
+ benchmarkCombineCase(b, 2048, 5, 3)
+}
+
+func BenchmarkPedersenCombine_2048_7_4(b *testing.B) {
+ benchmarkCombineCase(b, 2048, 7, 4)
+}
+
+func BenchmarkPedersenCombine_2048_10_5(b *testing.B) {
+ benchmarkCombineCase(b, 2048, 10, 5)
+}
diff --git a/docker-bake.hcl b/docker-bake.hcl
new file mode 100644
index 0000000..1fb6ae2
--- /dev/null
+++ b/docker-bake.hcl
@@ -0,0 +1,183 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+variable "GO_VERSION" {
+ # default ARG value set in Dockerfile
+ default = null
+}
+
+variable "OPENSSL_VERSION" {
+ default = null
+}
+
+variable "GO_BUILDTAGS" {
+ default = null
+}
+
+variable "GO_BUILDFLAGS" {
+ default = null
+}
+
+variable "GO_LINKMODE" {
+ default = null
+}
+
+variable "GO_STRIP" {
+ default = null
+}
+
+variable "GO_TESTFLAGS" {
+ default = null
+}
+
+# Defines the output folder to override the default behavior.
+# See Makefile for details, this is generally only useful for
+# the packaging scripts and care should be taken to not break
+# them.
+variable "DESTDIR" {
+ default = ""
+}
+
+variable "REPO_NAME" {
+ default = null
+}
+
+variable "REPO_URL" {
+ default = null
+}
+
+variable "ORGANIZATION_NAME" {
+ default = null
+}
+
+variable "DOCS_URL" {
+ default = null
+}
+
+variable "DOCS_EDIT_URL" {
+ default = null
+}
+
+variable "VERSION" {
+ default = null
+}
+
+function "outdir" {
+ params = [defaultdir]
+ result = DESTDIR != "" ? DESTDIR : "${defaultdir}"
+}
+
+target "_common" {
+ args = {
+ GO_VERSION = GO_VERSION
+ OPENSSL_VERSION = OPENSSL_VERSION
+ GO_BUILDTAGS = GO_BUILDTAGS
+ GO_BUILDFLAGS = GO_BUILDFLAGS
+ BUILDKIT_CONTEXT_KEEP_GIT_DIR = 1
+ }
+}
+
+group "default" {
+ targets = ["binary"]
+}
+
+group "validate" {
+ targets = ["lint", "license-validate"]
+}
+
+target "lint" {
+ inherits = ["_common"]
+ target = "lint"
+ output = ["type=cacheonly"]
+}
+
+target "license-validate" {
+ target = "license-validate"
+ output = ["type=cacheonly"]
+}
+
+target "test" {
+ inherits = ["_common"]
+ target = "test"
+ args = {
+ GO_TESTFLAGS = GO_TESTFLAGS
+ }
+ output = ["type=cacheonly"]
+ platforms = ["local"]
+}
+
+target "test-cross" {
+ inherits = ["test"]
+ platforms = [
+ "linux/amd64",
+ "linux/arm/v6",
+ "linux/arm/v7",
+ "linux/arm64",
+ "linux/ppc64le",
+ "linux/riscv64",
+ "linux/s390x",
+ ]
+}
+
+target "binary" {
+ inherits = ["_common"]
+ target = "binary"
+ args = {
+ OPENSSL_VERSION = OPENSSL_VERSION
+ GO_LINKMODE = GO_LINKMODE
+ GO_STRIP = GO_STRIP
+ }
+ output = [outdir("./bin/build")]
+ platforms = ["local"]
+}
+
+target "binary-cross" {
+ inherits = ["binary"]
+ platforms = [
+ "darwin/amd64",
+ "darwin/arm64",
+ "linux/amd64",
+ "linux/arm/v6",
+ "linux/arm/v7",
+ "linux/arm64",
+ "linux/ppc64le",
+ "linux/riscv64",
+ "linux/s390x",
+ "windows/amd64",
+ ]
+}
+
+target "release" {
+ inherits = ["binary-cross"]
+ target = "release"
+ output = [outdir("./bin/release")]
+}
+
+target "docs" {
+ target = "docs-release"
+ args = {
+ ORGANIZATION_NAME = ORGANIZATION_NAME
+ REPO_NAME = REPO_NAME
+ REPO_URL = REPO_URL
+ DOCS_URL = DOCS_URL
+ DOCS_EDIT_URL = DOCS_EDIT_URL
+ VERSION = VERSION
+ }
+ secret = [
+ "type=env,id=ALGOLIA_APP_ID",
+ "type=env,id=ALGOLIA_SEARCH_API_KEY",
+ "type=env,id=ALGOLIA_INDEX_NAME",
+ ]
+ output = [outdir("./bin/docs")]
+}
+
+target "docker-metadata-action" {}
+
+target "image-cross" {
+ inherits = ["docker-metadata-action", "release"]
+ target = "image"
+ output = ["type=image"]
+}
diff --git a/docs/.gitignore b/docs/.gitignore
new file mode 100644
index 0000000..b083ed4
--- /dev/null
+++ b/docs/.gitignore
@@ -0,0 +1,21 @@
+# Dependencies
+/node_modules
+
+# Production
+/build
+
+# Generated files
+.docusaurus
+.cache-loader
+
+# Misc
+.DS_Store
+.env
+.env.local
+.env.development.local
+.env.test.local
+.env.production.local
+
+npm-debug.log*
+yarn-debug.log*
+yarn-error.log*
diff --git a/docs/babel.config.js b/docs/babel.config.js
new file mode 100644
index 0000000..e00595d
--- /dev/null
+++ b/docs/babel.config.js
@@ -0,0 +1,3 @@
+module.exports = {
+ presets: [require.resolve('@docusaurus/core/lib/babel/preset')],
+};
diff --git a/docs/docs/01-acknowledgements.mdx b/docs/docs/01-acknowledgements.mdx
new file mode 100644
index 0000000..5413244
--- /dev/null
+++ b/docs/docs/01-acknowledgements.mdx
@@ -0,0 +1,8 @@
+---
+sidebar_position: 5
+---
+
+# Acknowledgements
+
+The work done for dynamic loading the OpenSSL library is
+inspired from the [go-crypto-openssl](https://github.com/microsoft/go-crypto-openssl) open-source project.
diff --git a/docs/docs/getting-started/01-installation.mdx b/docs/docs/getting-started/01-installation.mdx
new file mode 100644
index 0000000..5db396c
--- /dev/null
+++ b/docs/docs/getting-started/01-installation.mdx
@@ -0,0 +1,83 @@
+---
+sidebar_position: 1
+---
+
+# Installation
+
+This project provides both a Go module and a CLI tool.
+
+## Go module
+
+In order to use the `pedersen` package just do
+
+```go
+go get github.com/matteoarella/pedersen
+```
+
+### Requirements
+
+- [Go](https://go.dev/doc/install) version 1.17.x or above.
+- CGO enabled.
+
+### Dependencies
+
+The `math/big` package does not support constant-time operations so its usage for cryptographic operations is unsafe
+since it may leak some sensitive information via timing-based side channel attacks.
+For this reason the pedersen module provides its own implementation of `big.Int` operations using OpenSSL library
+bindings under the hood (via cgo calls).
+
+As a consequence the OpenSSL library must be available in the system.
+Several versions of the OpenSSL library are supported and tested, namely 1.0.2, 1.1.0, 1.1.1 and 3.0.2.
+
+The OpenSSL library can be provided in two ways, without or with the OpenSSL headers.
+
+#### OpenSSL without headers (default)
+
+By default the OpenSSL library is automatically loaded at runtime using [dlopen](https://man7.org/linux/man-pages/man3/dlopen.3.html)
+in such a way that only the OpenSSL runtime library is needed.
+Therefore, dlopen's shared library search conventions applies here.
+
+The `libcrypto` shared library file name varies among different platforms, so a best effort is done to find and load the right file:
+
+- The base name is always `libcrypto.so`.
+- Well-known version strings are appended to the base name, until the file is found, in the following order:
+`3` -> `1.1` -> `11` -> `111` -> `1.0.2` -> `1.0.0`.
+
+This algorithm can be overridden by setting the environment variable `GO_OPENSSL_VERSION_OVERRIDE`
+to the desired version string.
+For example, `GO_OPENSSL_VERSION_OVERRIDE="1.1.1k-fips"` makes the runtime look for the shared library `libcrypto.so.1.1.1k-fips`
+before running the checks for well-known versions.
+
+#### OpenSSL with headers
+
+OpenSSL headers can be used to provide all the symbols that are needed.
+If the Go tag `openssldev` is provided, the module tries to load the OpenSSL library by using the `pkg-config` tool.
+
+This case is mandatory in case of using this module for building a statically linked binary.
+
+## CLI tool
+
+import RepoUrl from '@site/src/components/RepoUrl';
+
+Download from the the correct binary for your target platform and install it.
+
+import {BinariesTabs, Platform, Variant} from '@site/src/components/BinariesTabs';
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/docs/docs/getting-started/_category_.json b/docs/docs/getting-started/_category_.json
new file mode 100644
index 0000000..534b5dc
--- /dev/null
+++ b/docs/docs/getting-started/_category_.json
@@ -0,0 +1,7 @@
+{
+ "label": "Getting started",
+ "position": 2,
+ "link": {
+ "type": "generated-index"
+ }
+}
diff --git a/docs/docs/guides/01-group.mdx b/docs/docs/guides/01-group.mdx
new file mode 100644
index 0000000..c101bdc
--- /dev/null
+++ b/docs/docs/guides/01-group.mdx
@@ -0,0 +1,89 @@
+---
+title: 'Configure a cyclic group'
+sidebar_position: 1
+---
+
+# Configure a cyclic group
+
+In order to perform any Pedersen operations (like splitting a secret, combining a secret or verifying a secret part or every
+secret parts), a cyclic group $G_q$ must be generated.
+In particular given two large primes $p$ and $q$ such that $q$ divides $p-1$, $G_q$ is the unique subgroup of $\mathbb{Z}^*_q$
+of order $q$. Let $g$ and $h$ be two generators of $G_q$.
+
+The cyclic group $G_q$ can be instantiated in two ways.
+
+## Generate a new group
+
+In this case a fresh cyclic group is generated at random by using the function `pedersen.NewSchnorrGroup()`:
+
+```go showLineNumbers
+import (
+ "github.com/matteoarella/pedersen"
+)
+
+// highlight-next-line
+groupSize := 1024
+
+// highlight-start
+group, err := pedersen.NewSchnorrGroup(groupSize)
+if err != nil {
+ panic(err)
+}
+// highlight-end
+```
+
+## Use a previously generated group
+
+For reconstructing a secret or validating the secret parts the same group that has been adopted for splitting the secret
+must be used.
+In this case you cannot use the `pedersen.NewSchnorrGroup()` function otherwise a fresh group is generated.
+
+The `pedersen.Group` object must be instantiated by specifying the $p$, $q$, $g$ and $h$ parameters as follows:
+
+```go showLineNumbers
+import (
+ "github.com/matteoarella/pedersen"
+ "github.com/matteoarella/pedersen/big"
+)
+
+// highlight-start
+p, err := big.NewInt()
+// check err
+q, err := big.NewInt()
+// check err
+g, err := big.NewInt()
+// check err
+h, err := big.NewInt()
+// check err
+
+err = p.SetDecString("17634709279010524619")
+// check err
+err = q.SetDecString("8817354639505262309")
+// check err
+err = g.SetDecString("8414335786771157015")
+// check err
+err = h.SetDecString("15078279289296123424")
+// check err
+
+group := pedersen.Group{
+ P: p, // prime p
+ Q: q, // prime q
+ G: g, // first generator g
+ H: h, // second generator h
+}
+// highlight-end
+```
+
+## Use a group
+
+The `group` object created with one of the two methods depicted above can be used for instantiating a `pedersen.Pedersen` object as follows:
+
+```go
+schemeParts := 5
+schemeThreshold := 3
+
+p, err := pedersen.NewPedersen(schemeParts, schemeThreshold, pedersen.CyclicGroup(group))
+if err != nil {
+ panic(err)
+}
+```
diff --git a/docs/docs/guides/02-split.mdx b/docs/docs/guides/02-split.mdx
new file mode 100644
index 0000000..c2323ae
--- /dev/null
+++ b/docs/docs/guides/02-split.mdx
@@ -0,0 +1,71 @@
+---
+title: 'Split a secret'
+sidebar_position: 2
+---
+
+# Split a secret
+
+Before you can split any secret, you have to configure a cyclic group to be used for Pedersen operations as is
+shown in [Configure a cyclic group](group).
+
+This example shows how to split a secret with a $(t, n)$-threshold scheme of $(t, n) = ($ `schemeThreshold` , `schemeParts` $)$.
+
+```go showLineNumbers
+import (
+ "github.com/matteoarella/pedersen"
+)
+
+group := /* cyclic group */
+schemeParts := 5
+schemeThreshold := 3
+// highlight-next-line
+secret := /* secret to split */
+
+p, err := pedersen.NewPedersen(schemeParts, schemeThreshold, pedersen.CyclicGroup(group))
+if err != nil {
+ panic(err)
+}
+
+// highlight-start
+shares, err = p.Split(secret, nil)
+if err != nil {
+ panic(err)
+}
+// highlight-end
+
+/* ...
+ send shares parts to the corresponding shareholder and broadcast the commitments
+ ...
+*/
+```
+
+## Secret shares structure
+
+When a secret is splitted with `pedersen.Split` a `pedersen.Shares` object is returned.
+This object contains every information that the *dealer* has to transfer to the *shareholders*.
+
+If the secret that has to be split is not representable in the cyclic group (this is the case
+if the secret is bigger than the order of the cyclic group),
+the secret is split into chunks, and each chunk is split into secret parts according
+to Pedersen verifiable secret sharing.
+
+### Abscissae vector
+
+`Shares.Abscissae` is the abscissae vector used for computing the ordinate values of
+the secret parts.
+There is one abscissa for each *shareholder*, so if `shareholderIdx` represents
+the index of one *shareholder*, `Abscissae[shareholderIdx]` is the abscissa
+related to that *shareholder*.
+
+### Secret parts
+
+`Shares.Parts` is the matrix of secret parts.
+
+The first index of `Shares.Parts` represents the shareholder index, while the second index
+represents the chunk index (`Parts[shareholderIdx][chunkIdx]`).
+
+### Secret commitments
+
+`Shares.Commitments` is the matrix of commitments.
+The first index of `Shares.Commitments` represents the chunk index so `Commitments[chunkIdx]`
+is the vector of commitments related to the chunk with index `chunkIdx`.
diff --git a/docs/docs/guides/03-combine.mdx b/docs/docs/guides/03-combine.mdx
new file mode 100644
index 0000000..89b61de
--- /dev/null
+++ b/docs/docs/guides/03-combine.mdx
@@ -0,0 +1,35 @@
+---
+title: 'Combine a secret'
+sidebar_position: 3
+---
+
+# Combine a secret
+
+Before you can combine any secret shares, you have to configure a cyclic group to be used for Pedersen operations as is
+shown in [Configure a cyclic group](group).
+
+This example shows how to combine a secret with a $(t, n)$-threshold scheme of $(t, n) = ($ `schemeThreshold` , `schemeParts` $)$
+
+```go
+import (
+ "github.com/matteoarella/pedersen"
+)
+
+schemeParts := 5
+schemeThreshold := 3
+group := /* cyclic group */
+// highlight-next-line
+shares := /* retrieve shares parts from the shareholders */
+
+p, err := pedersen.NewPedersen(schemeParts, schemeThreshold, pedersen.CyclicGroup(group))
+if err != nil {
+ panic(err)
+}
+
+// highlight-start
+secret, err = p.Combine(shares)
+if err != nil {
+ panic(err)
+}
+// highlight-end
+```
diff --git a/docs/docs/guides/04-verify.mdx b/docs/docs/guides/04-verify.mdx
new file mode 100644
index 0000000..d6f89b8
--- /dev/null
+++ b/docs/docs/guides/04-verify.mdx
@@ -0,0 +1,99 @@
+---
+title: 'Verify secret shares'
+sidebar_position: 4
+---
+
+# Verify secret shares
+
+With Pedersen verifiable secret sharing the sharing and the reconstruction of any secret can be verified.
+
+- in the *sharing phase* each *Shareholder* can verify that the secret shares that he has
+received are valid
+
+- in the *reconstruction phase* the *Dealer* can verify that the secret shares received from the *shareholders*
+are valid.
+
+Before you can verify any secret shares, you have to configure a cyclic group to be used for Pedersen operations as is
+shown in [Configure a cyclic group](group).
+
+In the following examples a $(t, n)$-threshold scheme of $(t, n) = ($ `schemeThreshold` , `schemeParts` $)$ is assumed.
+
+## Shareholder verification
+
+When a *shareholder* privately receives a secret part and the corresponding broadcast secret commitments he can verify the part
+in the following way.
+
+```go
+import (
+ "github.com/matteoarella/pedersen"
+)
+
+schemeParts := 5
+schemeThreshold := 3
+group := /* cyclic group */
+x := /* abscissa related to the shareholder part */
+share := /* secret share received from the dealer */
+commitments := /* commitments broadcast from the dealer */
+
+p, err := pedersen.NewPedersen(schemeParts, schemeThreshold, pedersen.CyclicGroup(group))
+if err != nil {
+ panic(err)
+}
+
+err = p.Verify(x, share, commitments)
+if err != nil {
+ panic(err)
+}
+```
+
+## Dealer verification
+
+When a *dealer* receives a secret part from a *shareholder* he can verify the part
+in the same way as shown in [Shareholder verification](verify#shareholder-verification).
+
+```go
+import (
+ "github.com/matteoarella/pedersen"
+)
+
+schemeParts := 5
+schemeThreshold := 3
+group := /* cyclic group */
+x := /* abscissa related to the shareholder part */
+share := /* secret share received from the dealer */
+commitments := /* commitments broadcast from the dealer */
+
+p, err := pedersen.NewPedersen(schemeParts, schemeThreshold, pedersen.CyclicGroup(group))
+if err != nil {
+ panic(err)
+}
+
+err = p.Verify(x, share, commitments)
+if err != nil {
+ panic(err)
+}
+```
+
+Additionally, the *dealer* can also collect every secret shares and then verify all of them in a
+single step as is shown here:
+
+```go
+import (
+ "github.com/matteoarella/pedersen"
+)
+
+schemeParts := 5
+schemeThreshold := 3
+group := /* cyclic group */
+shares := /* secret shares assembled from every secret parts */
+
+p, err := pedersen.NewPedersen(schemeParts, schemeThreshold, pedersen.CyclicGroup(group))
+if err != nil {
+ panic(err)
+}
+
+err = p.VerifyShares(shares)
+if err != nil {
+ panic(err)
+}
+```
diff --git a/docs/docs/guides/_category_.yml b/docs/docs/guides/_category_.yml
new file mode 100644
index 0000000..bb4c940
--- /dev/null
+++ b/docs/docs/guides/_category_.yml
@@ -0,0 +1,5 @@
+---
+label: 'Guides'
+position: 4
+link:
+ type: generated-index
diff --git a/docs/docs/intro.mdx b/docs/docs/intro.mdx
new file mode 100644
index 0000000..ce84101
--- /dev/null
+++ b/docs/docs/intro.mdx
@@ -0,0 +1,27 @@
+---
+slug: /
+sidebar_position: 1
+---
+
+# Overview
+
+> Secret sharing (also called secret splitting) refers to methods for distributing a secret among a group, in such a way that no individual holds any intelligible information about the secret, but when a sufficient number of individuals combine their 'shares', the secret may be reconstructed.
+> [Wikipedia](https://en.wikipedia.org/wiki/Secret_sharing)
+
+Secret sharing schemes are ideal for storing information that is highly sensitive
+and highly important, like for example encryption keys. Each of these pieces of
+information must be kept highly confidential, as their exposure could be disastrous;
+however, it is also critical that they should not be lost. Traditional methods for
+encryption are ill-suited for simultaneously achieving high levels of confidentiality
+and reliability. This is because when storing the encryption key, one must choose
+between keeping a single copy of the key in one location for maximum secrecy,
+or keeping multiple copies of the key in different locations for greater reliability.
+Increasing reliability of the key by storing multiple copies lowers confidentiality by
+creating additional attack vectors. Secret sharing schemes address this problem,
+and allow arbitrarily high levels of confidentiality and reliability to be achieved.
+
+> In cryptography, a secret sharing scheme is verifiable if auxiliary information is included that allows players to verify their shares as consistent.
+> [Wikipedia](https://en.wikipedia.org/wiki/Verifiable_secret_sharing)
+
+The `pedersen` package implements verifiable secret sharing procedures that are defined by [Pedersen Non-Interactive and Information-Theoretic Secure Verifiable Secret Sharing](https://link.springer.com/chapter/10.1007/3-540-46766-1_9) conference paper.
+
diff --git a/docs/docs/reference/01-go.mdx b/docs/docs/reference/01-go.mdx
new file mode 100644
index 0000000..dbfd948
--- /dev/null
+++ b/docs/docs/reference/01-go.mdx
@@ -0,0 +1,7 @@
+---
+sidebar_position: 1
+---
+
+# Go API
+
+Go API package documentation can be found [here](https://pkg.go.dev/github.com/matteoarella/pedersen).
diff --git a/docs/docs/reference/02-cli.mdx b/docs/docs/reference/02-cli.mdx
new file mode 100644
index 0000000..82c5200
--- /dev/null
+++ b/docs/docs/reference/02-cli.mdx
@@ -0,0 +1,168 @@
+---
+sidebar_position: 2
+---
+
+# CLI
+
+Pedersen provides a CLI binary for managing the sharing and the reconstruction of a secret.
+
+```
+$ pedersen --help
+Usage:
+ [command]
+
+Available Commands:
+ combine Combine Pedersen shares
+ completion Generate the autocompletion script for the specified shell
+ generate Generate Pedersen parameters
+ help Help about any command
+ split Split secret into Pedersen shares
+ verify Verify Pedersen shares or parts
+ version Show the Pedersen version information
+
+Flags:
+ -h, --help help for this command
+ --logfile string logging file
+ --loglevel string logging level (default "INFO")
+
+Use " [command] --help" for more information about a command.
+```
+
+## Generate
+
+```
+$ pedersen generate --help
+Generate Pedersen parameters
+
+Usage:
+ generate [flags]
+
+Flags:
+ -b, --bits int prime bits size (default 128)
+ --format FileFmt file format. allowed: ""yaml\", \"json\", \"xml""
+ -h, --help help for generate
+ -o, --out string output file
+ --perm uint32 output file permissions (default 256)
+
+Global Flags:
+ --logfile string logging file
+ --loglevel string logging level (default "INFO")
+```
+
+## Split
+
+```
+$ pedersen split --help
+Split secret into Pedersen shares
+
+Usage:
+ split [flags]
+
+Flags:
+ --commitments string commitments file
+ --format FileFmt file format. allowed: ""yaml\", \"json\", \"xml""
+ -g, --group string group file
+ -h, --help help for split
+ -i, --in string input file
+ -p, --parts int shares parts (default 5)
+ --perm uint32 output file permissions (default 256)
+ --shares string secret shares files regex expression
+ -t, --threshold int shares threshold (default 3)
+
+Global Flags:
+ --logfile string logging file
+ --loglevel string logging level (default "INFO")
+```
+
+## Combine
+
+```
+$ pedersen combine --help
+Combine Pedersen shares
+
+Usage:
+ combine [flags]
+
+Flags:
+ --commitments string commitments file
+ --format FileFmt file format. allowed: ""xml\", \"yaml\", \"json""
+ -g, --group string group file
+ -h, --help help for combine
+ -o, --out string output file
+ -p, --parts int shares parts (default 5)
+ --perm uint32 output file permissions (default 256)
+ --shares string secret shares files regex expression
+ -t, --threshold int shares threshold (default 3)
+ -v, --verify verify shares before combine (default true)
+
+Global Flags:
+ --logfile string logging file
+ --loglevel string logging level (default "INFO")
+```
+
+## Verify
+
+```
+$ pedersen verify --help
+Verify Pedersen shares or parts
+
+Usage:
+ verify [command]
+
+Available Commands:
+ part Verify Pedersen part
+ shares Verify Pedersen shares
+
+Flags:
+ -h, --help help for verify
+
+Global Flags:
+ --logfile string logging file
+ --loglevel string logging level (default "INFO")
+
+Use " verify [command] --help" for more information about a command.
+```
+
+### Verify secret part
+
+```
+$ pedersen verify part --help
+Verify Pedersen part
+
+Usage:
+ verify part [flags]
+
+Flags:
+ --commitments string commitments file
+ -g, --group string group file
+ -h, --help help for part
+ -p, --parts int shares parts (default 5)
+ --share string secret shares file
+ -t, --threshold int shares threshold (default 3)
+
+Global Flags:
+ --logfile string logging file
+ --loglevel string logging level (default "INFO")
+```
+
+### Verify secret shares
+
+```
+$ pedersen verify shares --help
+Verify Pedersen shares
+
+Usage:
+ verify shares [flags]
+
+Flags:
+ --commitments string commitments file
+ -g, --group string group file
+ -h, --help help for shares
+ -p, --parts int shares parts (default 5)
+ --shares string secret shares files regex expression
+ -t, --threshold int shares threshold (default 3)
+
+Global Flags:
+ --logfile string logging file
+ --loglevel string logging level (default "INFO")
+```
diff --git a/docs/docs/reference/_category_.yml b/docs/docs/reference/_category_.yml
new file mode 100644
index 0000000..16bcda0
--- /dev/null
+++ b/docs/docs/reference/_category_.yml
@@ -0,0 +1,5 @@
+---
+label: 'Reference'
+position: 3
+link:
+ type: generated-index
diff --git a/docs/docusaurus.config.js b/docs/docusaurus.config.js
new file mode 100644
index 0000000..0875e2d
--- /dev/null
+++ b/docs/docusaurus.config.js
@@ -0,0 +1,141 @@
+// @ts-check
+// Note: type annotations allow type checking and IDEs autocompletion
+
+const lightCodeTheme = require('prism-react-renderer/themes/github');
+const darkCodeTheme = require('prism-react-renderer/themes/dracula');
+const math = require('remark-math');
+const katex = require('rehype-katex');
+require('dotenv').config();
+
+/** @type {import('@docusaurus/types').Config} */
+const config = {
+ title: 'Pedersen verifiable secret sharing',
+ tagline: 'PVSS',
+ favicon: 'img/favicon.ico',
+
+ // Set the production url of your site here
+ url: process.env.DOCS_URL,
+ // Set the // pathname under which your site is served
+ // For GitHub pages deployment, it is often '//'
+ baseUrl: process.env.NODE_ENV === 'dev' ? '/' : process.env.REPO_NAME,
+
+ // GitHub pages deployment config.
+ // If you aren't using GitHub pages, you don't need these.
+ organizationName: process.env.ORGANIZATION_NAME, // Usually your GitHub org/user name.
+ projectName: process.env.REPO_NAME, // Usually your repo name.
+
+ onBrokenLinks: 'throw',
+ onBrokenMarkdownLinks: 'warn',
+
+ // Even if you don't use internalization, you can use this field to set useful
+ // metadata like html lang. For example, if your site is Chinese, you may want
+ // to replace "en" with "zh-Hans".
+ i18n: {
+ defaultLocale: 'en',
+ locales: ['en'],
+ },
+
+ stylesheets: [
+ {
+ href: 'https://cdn.jsdelivr.net/npm/katex@0.13.24/dist/katex.min.css',
+ type: 'text/css',
+ integrity:
+ 'sha384-odtC+0UGzzFL/6PNoE8rX/SPcQDXBJ+uRepguP4QkPCm2LBxH3FA3y+fKSiJ+AmM',
+ crossorigin: 'anonymous',
+ },
+ ],
+
+ presets: [
+ [
+ 'classic',
+ /** @type {import('@docusaurus/preset-classic').Options} */
+ ({
+ docs: {
+ routeBasePath: '/', // Serve the docs at the site's root
+ sidebarPath: require.resolve('./sidebars.js'),
+ // Please change this to your repo.
+ // Remove this to remove the "edit this page" links.
+ editUrl: process.env.DOCS_EDIT_URL,
+ remarkPlugins: [math],
+ rehypePlugins: [katex],
+ },
+ blog: false, // disable the blog plugin
+ theme: {
+ customCss: require.resolve('./src/css/custom.css'),
+ },
+ }),
+ ],
+ ],
+
+ themeConfig:
+ /** @type {import('@docusaurus/preset-classic').ThemeConfig} */
+ ({
+ image: 'img/docusaurus-social-card.jpg',
+ highlight: {
+ // default, Highlight.js theme to use for syntax highlighting in code blocks.
+ theme: 'solarized-dark',
+ },
+ navbar: {
+ title: 'Pedersen verifiable secret sharing',
+ logo: {
+ alt: 'Pedersen Logo',
+ src: 'img/logo.svg',
+ },
+ items: [
+ {
+ href: process.env.REPO_URL,
+ label: 'GitHub',
+ position: 'right',
+ },
+ ],
+ },
+ footer: {
+ style: 'dark',
+ copyright: `Copyright © ${new Date().getFullYear()} Pedersen authors. All rights reserved.`,
+ },
+ prism: {
+ theme: lightCodeTheme,
+ darkTheme: darkCodeTheme,
+ additionalLanguages: ['powershell'],
+ },
+ metadata: [{name: 'keywords', content: 'pedersen, secret sharing, verifiable secret sharing, pedersen verifiable secret sharing'}],
+ docs: {
+ sidebar: {
+ hideable: true,
+ autoCollapseCategories: true,
+ },
+ },
+ algolia: {
+ appId: process.env.ALGOLIA_APP_ID,
+
+ apiKey: process.env.ALGOLIA_SEARCH_API_KEY,
+
+ indexName: process.env.ALGOLIA_INDEX_NAME,
+
+ contextualSearch: true,
+
+ // Optional: Specify domains where the navigation should occur through window.location instead on history.push. Useful when our Algolia config crawls multiple documentation sites and we want to navigate with window.location.href to them.
+ // externalUrlRegex: 'external\\.com|domain\\.com',
+
+ // Optional: Replace parts of the item URLs from Algolia. Useful when using the same search index for multiple deployments using a different baseUrl. You can use regexp or string in the `from` param. For example: localhost:3000 vs myCompany.com/docs
+ /*replaceSearchResultPathname: {
+ from: '/docs/', // or as RegExp: /\/docs\//
+ to: '/',
+ },*/
+
+ // Optional: Algolia search parameters
+ searchParameters: {},
+
+ // Optional: path for search page that enabled by default (`false` to disable it)
+ searchPagePath: 'search',
+
+ //... other Algolia params
+ },
+ }),
+ customFields: {
+ version: process.env.VERSION,
+ repoUrl: process.env.REPO_URL,
+ }
+};
+
+module.exports = config;
diff --git a/docs/package.json b/docs/package.json
new file mode 100644
index 0000000..816b4e3
--- /dev/null
+++ b/docs/package.json
@@ -0,0 +1,50 @@
+{
+ "name": "docs",
+ "version": "0.0.0",
+ "private": true,
+ "scripts": {
+ "docusaurus": "docusaurus",
+ "start": "docusaurus start",
+ "build": "docusaurus build",
+ "swizzle": "docusaurus swizzle",
+ "deploy": "docusaurus deploy",
+ "clear": "docusaurus clear",
+ "serve": "docusaurus serve",
+ "write-translations": "docusaurus write-translations",
+ "write-heading-ids": "docusaurus write-heading-ids",
+ "typecheck": "tsc"
+ },
+ "dependencies": {
+ "@docusaurus/core": "2.4.1",
+ "@docusaurus/preset-classic": "2.4.1",
+ "@mdx-js/react": "^1.6.22",
+ "clsx": "^1.2.1",
+ "dotenv": "^16.3.1",
+ "hast-util-is-element": "1.1.0",
+ "prism-react-renderer": "^1.3.5",
+ "react": "^17.0.2",
+ "react-dom": "^17.0.2",
+ "rehype-katex": "5",
+ "remark-math": "3"
+ },
+ "devDependencies": {
+ "@docusaurus/module-type-aliases": "2.4.1",
+ "@tsconfig/docusaurus": "^1.0.5",
+ "typescript": "^4.7.4"
+ },
+ "browserslist": {
+ "production": [
+ ">0.5%",
+ "not dead",
+ "not op_mini all"
+ ],
+ "development": [
+ "last 1 chrome version",
+ "last 1 firefox version",
+ "last 1 safari version"
+ ]
+ },
+ "engines": {
+ "node": ">=16.14"
+ }
+}
diff --git a/docs/sidebars.js b/docs/sidebars.js
new file mode 100644
index 0000000..3fdd0c6
--- /dev/null
+++ b/docs/sidebars.js
@@ -0,0 +1,19 @@
+/**
+ * Creating a sidebar enables you to:
+ - create an ordered group of docs
+ - render a sidebar for each doc of that group
+ - provide next/previous navigation
+
+ The sidebars can be generated from the filesystem, or explicitly defined here.
+
+ Create as many sidebars as you want.
+ */
+
+// @ts-check
+
+/** @type {import('@docusaurus/plugin-content-docs').SidebarsConfig} */
+const sidebars = {
+ docsSidebar: [{type: 'autogenerated', dirName: '.'}],
+};
+
+module.exports = sidebars;
diff --git a/docs/src/components/BinariesTabs.tsx b/docs/src/components/BinariesTabs.tsx
new file mode 100644
index 0000000..0ad7b17
--- /dev/null
+++ b/docs/src/components/BinariesTabs.tsx
@@ -0,0 +1,82 @@
+import React, {PropsWithChildren} from 'react';
+import useDocusaurusContext from '@docusaurus/useDocusaurusContext';
+import Tabs from '@theme/Tabs';
+import TabItem from '@theme/TabItem';
+import CodeBlock from '@theme/CodeBlock';
+import CodeBlockLine from '@theme/CodeBlock/Line';
+
+export interface VariantProps {
+ readonly value: string;
+ readonly label: string;
+ readonly binary: string;
+ readonly powershell: boolean;
+ readonly default?: boolean;
+}
+
+export function Variant(props: VariantProps) {}
+
+function RenderVariant(props: VariantProps): JSX.Element {
+ const {siteConfig} = useDocusaurusContext();
+ if (props.powershell) {
+ return (
+
+
+ {`$VERSION = "${siteConfig.customFields.version}"; \`
+$BINARY = "${props.binary}"; \`
+New-Item -ItemType Directory -Force -Path $env:ProgramFiles\\Pedersen\\bin; \`
+Invoke-WebRequest -OutFile $env:ProgramFiles\\Pedersen\\bin\\pedersen https://github.com/matteoarella/pedersen/releases/download/$VERSION/$BINARY`}
+
+
+ Then add $env:ProgramFiles\Pedersen\bin to your
+ $env:Path system variable.
+
+ );
+ }
+ return (
+
+
+ {`VERSION=${siteConfig.customFields.version} \\
+BINARY=${props.binary} \\
+curl -o /bin/pedersen https://github.com/matteoarella/pedersen/releases/download/$VERSION/$BINARY && \\
+chmod +x /bin/pedersen`}
+
+
+ );
+}
+
+export interface PlatformProps {
+ readonly value: string;
+ readonly label: string;
+ readonly default?: boolean;
+}
+
+export function Platform(props: PropsWithChildren) {}
+
+function RenderPlatform(platform: PropsWithChildren): JSX.Element {
+ return (
+
+ {
+ React.Children.map(platform.children, (variant, _) => {
+ const item = variant as React.ReactElement;
+ const props: VariantProps = {
+ powershell: platform.value === 'windows',
+ ...item.props,
+ }
+ return RenderVariant(props)
+ })
+ }
+
+ )
+}
+
+export function BinariesTabs({children}: {
+ children: React.ReactElement>
+}): JSX.Element {
+ return ({
+ React.Children.map(children, (platform, _) => {
+ return RenderPlatform(platform.props)
+ })
+ })
+};
diff --git a/docs/src/components/RepoUrl.tsx b/docs/src/components/RepoUrl.tsx
new file mode 100644
index 0000000..adda9de
--- /dev/null
+++ b/docs/src/components/RepoUrl.tsx
@@ -0,0 +1,14 @@
+import React, {PropsWithChildren} from 'react';
+import useDocusaurusContext from '@docusaurus/useDocusaurusContext';
+
+export interface RepoUrlProps {
+ readonly name: string;
+}
+
+export default function RepoUrl(props: RepoUrlProps): JSX.Element {
+ const {siteConfig} = useDocusaurusContext();
+ const url = siteConfig.customFields!.repoUrl as string || ""
+ return (
+ {props.name}
+ );
+}
diff --git a/docs/src/css/custom.css b/docs/src/css/custom.css
new file mode 100644
index 0000000..55c9296
--- /dev/null
+++ b/docs/src/css/custom.css
@@ -0,0 +1,59 @@
+/**
+ * Any CSS included here will be global. The classic template
+ * bundles Infima by default. Infima is a CSS framework designed to
+ * work well for content-centric websites.
+ */
+
+/* You can override the default Infima variables here. */
+:root {
+ --ifm-color-primary: #2e8555;
+ --ifm-color-primary-dark: #29784c;
+ --ifm-color-primary-darker: #277148;
+ --ifm-color-primary-darkest: #205d3b;
+ --ifm-color-primary-light: #33925d;
+ --ifm-color-primary-lighter: #359962;
+ --ifm-color-primary-lightest: #3cad6e;
+ --ifm-code-font-size: 95%;
+ --docusaurus-highlighted-code-line-bg: rgba(0, 0, 0, 0.1);
+}
+/*:root {
+ --ifm-color-primary: #073642;
+ --ifm-color-primary-dark: #06313b;
+ --ifm-color-primary-darker: #062e38;
+ --ifm-color-primary-darkest: #05262e;
+ --ifm-color-primary-light: #083b49;
+ --ifm-color-primary-lighter: #083e4c;
+ --ifm-color-primary-lightest: #094656;
+ --docusaurus-highlighted-code-line-bg: rgba(0, 0, 0, 0.1);
+}*/
+/*:root {
+ --ifm-color-primary: #216373;
+ --ifm-color-primary-dark: #1e5968;
+ --ifm-color-primary-darker: #1c5462;
+ --ifm-color-primary-darkest: #174551;
+ --ifm-color-primary-light: #246d7f;
+ --ifm-color-primary-lighter: #267284;
+ --ifm-color-primary-lightest: #2b8196;
+}*/
+
+/* For readability concerns, you should choose a lighter palette in dark mode. */
+[data-theme='dark'] {
+ --ifm-color-primary: #25c2a0;
+ --ifm-color-primary-dark: #21af90;
+ --ifm-color-primary-darker: #1fa588;
+ --ifm-color-primary-darkest: #1a8870;
+ --ifm-color-primary-light: #29d5b0;
+ --ifm-color-primary-lighter: #32d8b4;
+ --ifm-color-primary-lightest: #4fddbf;
+ --docusaurus-highlighted-code-line-bg: rgba(0, 0, 0, 0.3);
+}
+/*[data-theme='dark'] {
+ --ifm-color-primary: #839496;
+ --ifm-color-primary-dark: #748789;
+ --ifm-color-primary-darker: #6e7f81;
+ --ifm-color-primary-darkest: #617072;
+ --ifm-color-primary-light: #92a1a3;
+ --ifm-color-primary-lighter: #9aa8a9;
+ --ifm-color-primary-lightest: #b1bbbd;
+ --ifm-background-color: #002b36;
+}*/
diff --git a/docs/static/.nojekyll b/docs/static/.nojekyll
new file mode 100644
index 0000000..e69de29
diff --git a/docs/static/img/docusaurus-social-card.jpg b/docs/static/img/docusaurus-social-card.jpg
new file mode 100644
index 0000000..ffcb448
Binary files /dev/null and b/docs/static/img/docusaurus-social-card.jpg differ
diff --git a/docs/static/img/favicon.ico b/docs/static/img/favicon.ico
new file mode 100644
index 0000000..c01d54b
Binary files /dev/null and b/docs/static/img/favicon.ico differ
diff --git a/docs/static/img/logo.svg b/docs/static/img/logo.svg
new file mode 100644
index 0000000..9db6d0d
--- /dev/null
+++ b/docs/static/img/logo.svg
@@ -0,0 +1 @@
+
\ No newline at end of file
diff --git a/docs/tsconfig.json b/docs/tsconfig.json
new file mode 100644
index 0000000..6f47569
--- /dev/null
+++ b/docs/tsconfig.json
@@ -0,0 +1,7 @@
+{
+ // This file is not used in compilation. It is here just for a nice editor experience.
+ "extends": "@tsconfig/docusaurus/tsconfig.json",
+ "compilerOptions": {
+ "baseUrl": "."
+ }
+}
diff --git a/docs/yarn.lock b/docs/yarn.lock
new file mode 100644
index 0000000..a270b5e
--- /dev/null
+++ b/docs/yarn.lock
@@ -0,0 +1,7752 @@
+# THIS IS AN AUTOGENERATED FILE. DO NOT EDIT THIS FILE DIRECTLY.
+# yarn lockfile v1
+
+
+"@algolia/autocomplete-core@1.9.3":
+ version "1.9.3"
+ resolved "https://registry.yarnpkg.com/@algolia/autocomplete-core/-/autocomplete-core-1.9.3.tgz#1d56482a768c33aae0868c8533049e02e8961be7"
+ integrity sha512-009HdfugtGCdC4JdXUbVJClA0q0zh24yyePn+KUGk3rP7j8FEe/m5Yo/z65gn6nP/cM39PxpzqKrL7A6fP6PPw==
+ dependencies:
+ "@algolia/autocomplete-plugin-algolia-insights" "1.9.3"
+ "@algolia/autocomplete-shared" "1.9.3"
+
+"@algolia/autocomplete-plugin-algolia-insights@1.9.3":
+ version "1.9.3"
+ resolved "https://registry.yarnpkg.com/@algolia/autocomplete-plugin-algolia-insights/-/autocomplete-plugin-algolia-insights-1.9.3.tgz#9b7f8641052c8ead6d66c1623d444cbe19dde587"
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+ "@algolia/autocomplete-shared" "1.9.3"
+
+"@algolia/autocomplete-preset-algolia@1.9.3":
+ version "1.9.3"
+ resolved "https://registry.yarnpkg.com/@algolia/autocomplete-preset-algolia/-/autocomplete-preset-algolia-1.9.3.tgz#64cca4a4304cfcad2cf730e83067e0c1b2f485da"
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+ dependencies:
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+
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+ version "1.9.3"
+ resolved "https://registry.yarnpkg.com/@algolia/autocomplete-shared/-/autocomplete-shared-1.9.3.tgz#2e22e830d36f0a9cf2c0ccd3c7f6d59435b77dfa"
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+
+"@algolia/cache-in-memory@4.18.0":
+ version "4.18.0"
+ resolved "https://registry.yarnpkg.com/@algolia/cache-in-memory/-/cache-in-memory-4.18.0.tgz#9a40294c734819724a1b4e86afd5a7d4be9bcc2f"
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+ dependencies:
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+
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+ version "4.18.0"
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+ "@algolia/client-search" "4.18.0"
+ "@algolia/transporter" "4.18.0"
+
+"@algolia/client-analytics@4.18.0":
+ version "4.18.0"
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+ sockjs "^0.3.24"
+ spdy "^4.0.2"
+ webpack-dev-middleware "^5.3.1"
+ ws "^8.13.0"
+
+webpack-merge@^5.8.0:
+ version "5.9.0"
+ resolved "https://registry.yarnpkg.com/webpack-merge/-/webpack-merge-5.9.0.tgz#dc160a1c4cf512ceca515cc231669e9ddb133826"
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+ dependencies:
+ clone-deep "^4.0.1"
+ wildcard "^2.0.0"
+
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+ version "3.2.3"
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+ version "5.88.1"
+ resolved "https://registry.yarnpkg.com/webpack/-/webpack-5.88.1.tgz#21eba01e81bd5edff1968aea726e2fbfd557d3f8"
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+ "@types/estree" "^1.0.0"
+ "@webassemblyjs/ast" "^1.11.5"
+ "@webassemblyjs/wasm-edit" "^1.11.5"
+ "@webassemblyjs/wasm-parser" "^1.11.5"
+ acorn "^8.7.1"
+ acorn-import-assertions "^1.9.0"
+ browserslist "^4.14.5"
+ chrome-trace-event "^1.0.2"
+ enhanced-resolve "^5.15.0"
+ es-module-lexer "^1.2.1"
+ eslint-scope "5.1.1"
+ events "^3.2.0"
+ glob-to-regexp "^0.4.1"
+ graceful-fs "^4.2.9"
+ json-parse-even-better-errors "^2.3.1"
+ loader-runner "^4.2.0"
+ mime-types "^2.1.27"
+ neo-async "^2.6.2"
+ schema-utils "^3.2.0"
+ tapable "^2.1.1"
+ terser-webpack-plugin "^5.3.7"
+ watchpack "^2.4.0"
+ webpack-sources "^3.2.3"
+
+webpackbar@^5.0.2:
+ version "5.0.2"
+ resolved "https://registry.yarnpkg.com/webpackbar/-/webpackbar-5.0.2.tgz#d3dd466211c73852741dfc842b7556dcbc2b0570"
+ integrity sha512-BmFJo7veBDgQzfWXl/wwYXr/VFus0614qZ8i9znqcl9fnEdiVkdbi0TedLQ6xAK92HZHDJ0QmyQ0fmuZPAgCYQ==
+ dependencies:
+ chalk "^4.1.0"
+ consola "^2.15.3"
+ pretty-time "^1.1.0"
+ std-env "^3.0.1"
+
+websocket-driver@>=0.5.1, websocket-driver@^0.7.4:
+ version "0.7.4"
+ resolved "https://registry.yarnpkg.com/websocket-driver/-/websocket-driver-0.7.4.tgz#89ad5295bbf64b480abcba31e4953aca706f5760"
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+ websocket-extensions ">=0.1.1"
+
+websocket-extensions@>=0.1.1:
+ version "0.1.4"
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+
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+ version "5.0.0"
+ resolved "https://registry.yarnpkg.com/whatwg-url/-/whatwg-url-5.0.0.tgz#966454e8765462e37644d3626f6742ce8b70965d"
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+ dependencies:
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+ webidl-conversions "^3.0.0"
+
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+ version "1.3.1"
+ resolved "https://registry.yarnpkg.com/which/-/which-1.3.1.tgz#a45043d54f5805316da8d62f9f50918d3da70b0a"
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+ dependencies:
+ isexe "^2.0.0"
+
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+ version "2.0.2"
+ resolved "https://registry.yarnpkg.com/which/-/which-2.0.2.tgz#7c6a8dd0a636a0327e10b59c9286eee93f3f51b1"
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+ dependencies:
+ isexe "^2.0.0"
+
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+ version "3.1.0"
+ resolved "https://registry.yarnpkg.com/widest-line/-/widest-line-3.1.0.tgz#8292333bbf66cb45ff0de1603b136b7ae1496eca"
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+ dependencies:
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+
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+ version "4.0.1"
+ resolved "https://registry.yarnpkg.com/widest-line/-/widest-line-4.0.1.tgz#a0fc673aaba1ea6f0a0d35b3c2795c9a9cc2ebf2"
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+ version "2.0.1"
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+ version "7.0.0"
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+ dependencies:
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+
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+ version "8.1.0"
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+ version "3.0.3"
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+
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+ version "4.0.0"
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+
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+ version "4.0.0"
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+ version "1.10.2"
+ resolved "https://registry.yarnpkg.com/yaml/-/yaml-1.10.2.tgz#2301c5ffbf12b467de8da2333a459e29e7920e4b"
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+ version "0.1.0"
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+
+zwitch@^1.0.0:
+ version "1.0.5"
+ resolved "https://registry.yarnpkg.com/zwitch/-/zwitch-1.0.5.tgz#d11d7381ffed16b742f6af7b3f223d5cd9fe9920"
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diff --git a/go.mod b/go.mod
new file mode 100644
index 0000000..9d5ae36
--- /dev/null
+++ b/go.mod
@@ -0,0 +1,23 @@
+module github.com/matteoarella/pedersen
+
+go 1.18
+
+require (
+ github.com/sirupsen/logrus v1.9.3
+ github.com/spf13/afero v1.9.5
+ github.com/spf13/cobra v1.7.0
+ github.com/spf13/pflag v1.0.5
+ github.com/stretchr/testify v1.8.4
+ golang.org/x/sync v0.3.0
+ gopkg.in/yaml.v3 v3.0.1
+)
+
+require github.com/inconshreveable/mousetrap v1.1.0 // indirect
+
+require (
+ github.com/davecgh/go-spew v1.1.1 // indirect
+ github.com/kr/pretty v0.3.1 // indirect
+ github.com/pmezard/go-difflib v1.0.0 // indirect
+ golang.org/x/sys v0.8.0 // indirect
+ golang.org/x/text v0.3.8 // indirect
+)
diff --git a/go.sum b/go.sum
new file mode 100644
index 0000000..a765d4f
--- /dev/null
+++ b/go.sum
@@ -0,0 +1,469 @@
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diff --git a/group.go b/group.go
new file mode 100644
index 0000000..7397050
--- /dev/null
+++ b/group.go
@@ -0,0 +1,281 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package pedersen
+
+import "C"
+import (
+ "encoding/json"
+ "errors"
+ "fmt"
+
+ "github.com/matteoarella/pedersen/big"
+)
+
+const (
+ minPrimeBitLen = 64
+)
+
+var (
+ ErrNilPrime = errors.New("prime cannot be nil")
+ ErrInvalidPrimeSize = fmt.Errorf("prime number size must be at least %d bits", minPrimeBitLen)
+ ErrInvalidPrime = errors.New("invalid prime")
+ ErrNilGenerator = errors.New("generator cannot be nil")
+ ErrInvalidGenerator = errors.New("invalid generator")
+)
+
+// Group represents a cyclic group.
+// P and Q are large primes s.t. p=mq+1 where m is an integer.
+// G and H are two generators of the unique subgroup of ℤ*q.
+type Group struct {
+ P *big.Int
+ Q *big.Int
+ G *big.Int
+ H *big.Int
+}
+
+func (g *Group) String() string {
+ data, _ := json.Marshal(g)
+ return string(data)
+}
+
+func (g *Group) validatePrimes(ctx *big.IntContext) error {
+ if g.P == nil || g.Q == nil {
+ return ErrNilPrime
+ }
+
+ if g.P.BitLen() < minPrimeBitLen {
+ return ErrInvalidPrimeSize
+ }
+
+ // check that p and q are primes s.t. p=mq+1
+ // where m is an integer
+ ok, err := g.P.ProbablyPrime(ctx)
+ if err != nil {
+ return err
+ }
+ if !ok {
+ return ErrInvalidPrime
+ }
+
+ ok, err = g.Q.ProbablyPrime(ctx)
+ if err != nil {
+ return err
+ }
+ if !ok {
+ return ErrInvalidPrime
+ }
+
+ pMinus, err := ctx.GetInt()
+ if err != nil {
+ return err
+ }
+
+ if err := pMinus.Sub(g.P, big.One()); err != nil {
+ return err
+ }
+
+ if err := pMinus.Mod(ctx, pMinus, g.Q); err != nil {
+ return err
+ }
+
+ zero, err := ctx.GetInt()
+ if err != nil {
+ return err
+ }
+ if err := zero.SetUInt64(0); err != nil {
+ return err
+ }
+
+ // not safe prime
+ if pMinus.Cmp(zero) != 0 {
+ return ErrInvalidPrime
+ }
+
+ return nil
+}
+
+func (g *Group) validateGenerator(ctx *big.IntContext, generator *big.Int) error {
+ if generator == nil {
+ return ErrNilGenerator
+ }
+
+ exp, err := big.NewInt()
+ if err != nil {
+ return err
+ }
+
+ if err := exp.Sub(g.P, big.One()); err != nil {
+ return err
+ }
+
+ if err := exp.Div(ctx, exp, g.Q); err != nil {
+ return err
+ }
+
+ expected, err := big.NewInt()
+ if err != nil {
+ return err
+ }
+
+ if err := expected.ModExp(ctx, generator, exp, g.P); err != nil {
+ return err
+ }
+
+ // g^((p-1)/q) mod p != 1
+ if expected.Cmp(big.One()) == 0 {
+ return ErrInvalidGenerator
+ }
+
+ // g^q mod p = 1
+ if err := expected.ModExp(ctx, generator, g.Q, g.P); err != nil {
+ return err
+ }
+
+ if expected.Cmp(big.One()) != 0 {
+ return ErrInvalidGenerator
+ }
+
+ return nil
+}
+
+func (g *Group) validate() error {
+ ctx, err := big.NewIntContext()
+ if err != nil {
+ return err
+ }
+ defer ctx.Destroy()
+
+ if err := g.validatePrimes(ctx); err != nil {
+ return err
+ }
+
+ if err := g.validateGenerator(ctx, g.G); err != nil {
+ return err
+ }
+
+ if err := g.validateGenerator(ctx, g.H); err != nil {
+ return err
+ }
+
+ return nil
+}
+
+func getGenerator(ctx *big.IntContext, p, q *big.Int) (*big.Int, error) {
+ ctx.Attach()
+ defer ctx.Detach()
+
+ mont, err := big.NewMontgomeryContext()
+ if err != nil {
+ return nil, err
+ }
+ defer mont.Destroy()
+
+ if err := mont.Set(p, ctx); err != nil {
+ return nil, err
+ }
+
+ pMinus, err := ctx.GetInt()
+ if err != nil {
+ return nil, err
+ }
+
+ if err := pMinus.Sub(p, big.One()); err != nil {
+ return nil, err
+ }
+
+ two, err := ctx.GetInt()
+ if err != nil {
+ return nil, err
+ }
+
+ if err := two.SetUInt64(2); err != nil {
+ return nil, err
+ }
+
+ exp, err := big.NewInt()
+ if err != nil {
+ return nil, err
+ }
+ exp.SetConstantTime()
+
+ if err := exp.Set(pMinus); err != nil {
+ return nil, err
+ }
+
+ if err := exp.Div(ctx, exp, q); err != nil {
+ return nil, err
+ }
+
+ for {
+ g, err := genRandNum(two, pMinus)
+ if err != nil {
+ return nil, err
+ }
+ g.SetConstantTime()
+
+ if err := g.ModExpMont(mont, ctx, g, exp, p); err != nil {
+ return nil, err
+ }
+
+ if g.Cmp(big.One()) != 0 {
+ return g, nil
+ }
+ }
+}
+
+// Generate a new Schnorr group of given bits size.
+func NewSchnorrGroup(bits int) (*Group, error) {
+ if bits < minPrimeBitLen {
+ return nil, ErrInvalidPrimeSize
+ }
+
+ // Generate a large prime of size 'bits'
+ p, err := big.GeneratePrime(nil, bits, true)
+ if err != nil {
+ return nil, err
+ }
+ p.SetConstantTime()
+
+ // Calculate the safe prime q=(p-1)/2 of order 'bits'
+ q, err := big.NewInt()
+ if err != nil {
+ return nil, err
+ }
+ q.SetConstantTime()
+
+ if err := q.Sub(p, big.One()); err != nil {
+ return nil, err
+ }
+
+ // divide by 2
+ if err := q.Rsh(q, 1); err != nil {
+ return nil, err
+ }
+
+ ctx, err := big.NewIntContext()
+ if err != nil {
+ return nil, err
+ }
+ defer ctx.Destroy()
+
+ g, err := getGenerator(ctx, p, q)
+ if err != nil {
+ return nil, err
+ }
+
+ h, err := getGenerator(ctx, p, q)
+ if err != nil {
+ return nil, err
+ }
+
+ return &Group{
+ P: p,
+ Q: q,
+ G: g,
+ H: h,
+ }, nil
+}
diff --git a/group_test.go b/group_test.go
new file mode 100644
index 0000000..712f57b
--- /dev/null
+++ b/group_test.go
@@ -0,0 +1,56 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package pedersen_test
+
+import (
+ "testing"
+
+ "github.com/matteoarella/pedersen"
+
+ "github.com/matteoarella/pedersen/big"
+ "github.com/stretchr/testify/assert"
+ "github.com/stretchr/testify/require"
+)
+
+func validateGenerator(t *testing.T, ctx *big.IntContext, group *pedersen.Group) {
+ exp, err := big.NewInt()
+ require.NoError(t, err)
+
+ err = exp.Sub(group.P, big.One())
+ require.NoError(t, err)
+
+ err = exp.Div(ctx, exp, group.Q)
+ require.NoError(t, err)
+
+ expected, err := big.NewInt()
+ require.NoError(t, err)
+
+ err = expected.ModExp(ctx, group.G, exp, group.P)
+ require.NoError(t, err)
+
+ // g^((p-1)/q) mod p != 1
+ assert.EqualValues(t, true, expected.Cmp(big.One()) != 0)
+
+ // g^q mod p = 1
+ g, err := big.NewInt()
+ require.NoError(t, err)
+ err = g.ModExp(ctx, group.G, group.Q, group.P)
+ require.NoError(t, err)
+
+ assert.EqualValues(t, true, g.Cmp(big.One()) == 0)
+}
+
+func TestSchnorrGroup(t *testing.T) {
+ group, err := pedersen.NewSchnorrGroup(64)
+ require.NoError(t, err)
+
+ ctx, err := big.NewIntContext()
+ require.NoError(t, err)
+ defer ctx.Destroy()
+
+ validateGenerator(t, ctx, group)
+}
diff --git a/internal/cmd/combine.go b/internal/cmd/combine.go
new file mode 100644
index 0000000..2cb0746
--- /dev/null
+++ b/internal/cmd/combine.go
@@ -0,0 +1,129 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package cmd
+
+import (
+ "errors"
+ iofs "io/fs"
+
+ "github.com/matteoarella/pedersen"
+ "github.com/matteoarella/pedersen/big"
+ "github.com/matteoarella/pedersen/internal/schema"
+ "github.com/spf13/afero"
+ "github.com/spf13/cobra"
+)
+
+type CombineCommand struct {
+ cobra.Command
+
+ pedersenFlags
+ fileFmtFlags
+ secretSharesFlags
+ outFile string
+ verify bool
+ fs afero.Fs
+}
+
+func NewCombineCommand(fs afero.Fs) (*CombineCommand, error) {
+ combineCmd := &CombineCommand{
+ fs: fs,
+ secretSharesFlags: secretSharesFlags{
+ fs: fs,
+ },
+ }
+
+ combineCmd.Command = cobra.Command{
+ Use: "combine",
+ Short: "Combine Pedersen shares",
+ RunE: func(*cobra.Command, []string) error {
+ return combineCmd.execute()
+ },
+ }
+
+ err := combineCmd.pedersenFlags.register(&combineCmd.Command)
+ if err != nil {
+ return nil, err
+ }
+
+ err = combineCmd.secretSharesFlags.register(&combineCmd.Command)
+ if err != nil {
+ return nil, err
+ }
+
+ combineCmd.fileFmtFlags.register(&combineCmd.Command)
+
+ combineCmd.PersistentFlags().StringVarP(&combineCmd.outFile, "out", "o", "", "output file")
+ combineCmd.PersistentFlags().BoolVarP(&combineCmd.verify, "verify", "v", true, "verify shares before combine")
+
+ err = combineCmd.MarkPersistentFlagRequired("out")
+ if err != nil {
+ return nil, err
+ }
+
+ return combineCmd, nil
+}
+
+func (c *CombineCommand) execute() error {
+ group := pedersen.Group{}
+
+ if err := readFileAutofmt(c.fs, c.groupFile, &group); err != nil {
+ return err
+ }
+
+ commitments := schema.Commitments{}
+ if err := readFileAutofmt(c.fs, c.commitmentsFile, &commitments); err != nil {
+ return err
+ }
+
+ shares := &pedersen.Shares{
+ Abscissae: make([]*big.Int, c.parts),
+ Commitments: commitments.Commitments,
+ Parts: make([][]pedersen.SecretPart, c.parts),
+ }
+
+ for i := 0; i < c.parts; i++ {
+ parts := schema.Shares{}
+
+ shareFile := c.share(i)
+
+ if err := readFileAutofmt(c.fs, shareFile, &parts); err != nil {
+ if errors.Is(err, iofs.ErrNotExist) {
+ continue
+ }
+
+ return err
+ }
+
+ shares.Abscissae[i] = parts.Abscissa
+ shares.Parts[i] = parts.Parts
+ }
+
+ p, err := pedersen.NewPedersen(c.parts,
+ c.threshold,
+ pedersen.CyclicGroup(&group),
+ )
+ if err != nil {
+ return err
+ }
+
+ if c.verify {
+ if err := p.VerifyShares(shares); err != nil {
+ return err
+ }
+ }
+
+ reconstructed, err := p.Combine(shares)
+ if err != nil {
+ return err
+ }
+
+ if err := afero.WriteFile(c.fs, c.outFile, reconstructed, iofs.FileMode(c.filePerm)); err != nil {
+ return err
+ }
+
+ return nil
+}
diff --git a/internal/cmd/fmtflags.go b/internal/cmd/fmtflags.go
new file mode 100644
index 0000000..97e89d2
--- /dev/null
+++ b/internal/cmd/fmtflags.go
@@ -0,0 +1,159 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package cmd
+
+import (
+ "errors"
+ "fmt"
+ iofs "io/fs"
+ "path/filepath"
+ "strconv"
+ "strings"
+
+ "github.com/matteoarella/pedersen/internal/io"
+ "github.com/matteoarella/pedersen/internal/io/json"
+ "github.com/matteoarella/pedersen/internal/io/xml"
+ "github.com/matteoarella/pedersen/internal/io/yaml"
+ "github.com/spf13/afero"
+ "github.com/spf13/cobra"
+ "github.com/spf13/pflag"
+)
+
+type FileFmt string
+type FilePerm uint32
+
+const (
+ YAML FileFmt = "yaml"
+ JSON FileFmt = "json"
+ XML FileFmt = "xml"
+)
+
+var (
+ fmts = map[string]struct{}{
+ string(YAML): {},
+ string(JSON): {},
+ string(XML): {},
+ }
+)
+
+func (f *FileFmt) String() string {
+ return string(*f)
+}
+
+func keys(m map[string]struct{}) []string {
+ r := make([]string, 0, len(m))
+ for k := range m {
+ r = append(r, k)
+ }
+ return r
+}
+
+// Set must have pointer receiver so it doesn't change the value of a copy
+func (f *FileFmt) Set(v string) error {
+ v = strings.ToLower(v)
+ if _, ok := fmts[v]; ok {
+ *f = FileFmt(v)
+ return nil
+ }
+
+ return fmt.Errorf("must be one of \"%s\"", strings.Join(keys(fmts), "\", \""))
+}
+
+// Type is only used in help text
+func (f *FileFmt) Type() string {
+ return "FileFmt"
+}
+
+func (f *FilePerm) String() string {
+ return fmt.Sprintf("%#o", *f)
+}
+
+func (f *FilePerm) Set(v string) error {
+ val, err := strconv.ParseUint(v, 8, 0)
+ if err != nil {
+ return err
+ }
+
+ *f = FilePerm(val)
+
+ return nil
+}
+
+func (f *FilePerm) Type() string {
+ return "FilePerm"
+}
+
+type fileFmtFlags struct {
+ fileFmt FileFmt
+ filePerm FilePerm
+}
+
+func (f *fileFmtFlags) register(cmd *cobra.Command) {
+ cmd.PersistentFlags().Var(&f.fileFmt, "format", fmt.Sprintf("file format. allowed: %s", strings.Join(keys(fmts), ", ")))
+ cmd.PersistentFlags().AddFlag(&pflag.Flag{
+ Name: "perm",
+ Value: &f.filePerm,
+ DefValue: "400",
+ Shorthand: "",
+ Usage: "output file permissions (default 400)",
+ })
+}
+
+func readFileAutofmt(fs afero.Fs, name string, v interface{}) error {
+ bios := []io.IO{yaml.New(fs), json.New(fs), xml.New(fs)}
+ var err error
+
+ for _, b := range bios {
+ err = b.ReadFile(name, v)
+ if err == nil {
+ return nil
+ }
+ }
+
+ return err
+}
+
+func writeFileAutofmt(fs afero.Fs, fileFmt FileFmt, name string, v interface{}, perm iofs.FileMode) error {
+ bios := []io.IO{}
+
+ switch fileFmt {
+ case YAML:
+ bios = append(bios, yaml.New(fs))
+ case JSON:
+ bios = append(bios, json.New(fs))
+ case XML:
+ bios = append(bios, xml.New(fs))
+ default:
+ ext := filepath.Ext(name)
+ if ext == "" {
+ bios = append(bios, yaml.New(fs), json.New(fs), xml.New(fs))
+ } else {
+ switch ext {
+ case yaml.Ext():
+ bios = append(bios, yaml.New(fs))
+ case json.Ext():
+ bios = append(bios, json.New(fs))
+ case xml.Ext():
+ bios = append(bios, xml.New(fs))
+ }
+ }
+ }
+
+ var err error
+
+ for _, b := range bios {
+ err = b.WriteFile(name, v, perm)
+ if err == nil {
+ return nil
+ } else if errors.Is(err, iofs.ErrPermission) {
+ return err
+ }
+
+ }
+
+ return err
+}
diff --git a/internal/cmd/generate.go b/internal/cmd/generate.go
new file mode 100644
index 0000000..287a0cf
--- /dev/null
+++ b/internal/cmd/generate.go
@@ -0,0 +1,72 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package cmd
+
+import (
+ iofs "io/fs"
+
+ "github.com/matteoarella/pedersen"
+ "github.com/matteoarella/pedersen/internal/schema"
+ "github.com/spf13/afero"
+ "github.com/spf13/cobra"
+)
+
+const (
+ defaultPrimeBits = 128
+)
+
+type GenerateCommand struct {
+ cobra.Command
+
+ fileFmtFlags
+ primeBits int
+ outFile string
+ fs afero.Fs
+}
+
+func NewGenerateCommand(fs afero.Fs) (*GenerateCommand, error) {
+ generateCmd := &GenerateCommand{fs: fs}
+
+ generateCmd.Command = cobra.Command{
+ Use: "generate",
+ Short: "Generate Pedersen parameters",
+ RunE: func(*cobra.Command, []string) error {
+ return generateCmd.execute()
+ },
+ }
+
+ generateCmd.fileFmtFlags.register(&generateCmd.Command)
+
+ generateCmd.PersistentFlags().IntVarP(&generateCmd.primeBits, "bits", "b", defaultPrimeBits, "prime bits size")
+ generateCmd.PersistentFlags().StringVarP(&generateCmd.outFile, "out", "o", "", "output file")
+
+ err := generateCmd.MarkPersistentFlagRequired("out")
+ if err != nil {
+ return nil, err
+ }
+
+ return generateCmd, nil
+}
+
+func (g *GenerateCommand) execute() error {
+ group, err := pedersen.NewSchnorrGroup(g.primeBits)
+ if err != nil {
+ return err
+ }
+
+ return writeFileAutofmt(g.fs,
+ g.fileFmt,
+ g.outFile,
+ &schema.Group{
+ P: group.P,
+ Q: group.Q,
+ G: group.G,
+ H: group.H,
+ },
+ iofs.FileMode(g.filePerm),
+ )
+}
diff --git a/internal/cmd/generate_test.go b/internal/cmd/generate_test.go
new file mode 100644
index 0000000..6221e95
--- /dev/null
+++ b/internal/cmd/generate_test.go
@@ -0,0 +1,171 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package cmd_test
+
+import (
+ "bytes"
+ "fmt"
+ iofs "io/fs"
+ "testing"
+
+ "github.com/matteoarella/pedersen/internal/cmd"
+ "github.com/matteoarella/pedersen/internal/io/json"
+ "github.com/matteoarella/pedersen/internal/io/xml"
+ "github.com/matteoarella/pedersen/internal/io/yaml"
+ "github.com/matteoarella/pedersen/internal/schema"
+ "github.com/spf13/afero"
+ "github.com/stretchr/testify/require"
+)
+
+func TestGenerateCmd(t *testing.T) {
+ testCases := []CliCmdTestCase{
+ {
+ scenario: "invalid command with no output arg",
+ args: []string{},
+ err: fmt.Errorf("required flag(s) \"out\" not set"),
+ },
+ {
+ scenario: "valid group file with JSON encoding from file extension",
+ args: []string{"-o", "group.json"},
+ validateFn: func(t *testing.T, fs afero.Fs) {
+ bio := json.New(fs)
+ group := schema.Group{}
+ err := bio.ReadFile("group.json", &group)
+ require.NoError(t, err)
+ },
+ },
+ {
+ scenario: "valid group file with YAML encoding from file extension",
+ args: []string{"-o", "group.yaml"},
+ err: nil,
+ validateFn: func(t *testing.T, fs afero.Fs) {
+ bio := yaml.New(fs)
+ group := schema.Group{}
+ err := bio.ReadFile("group.yaml", &group)
+ require.NoError(t, err)
+ },
+ },
+ {
+ scenario: "valid group file with XML encoding from file extension",
+ args: []string{"-o", "group.xml"},
+ err: nil,
+ validateFn: func(t *testing.T, fs afero.Fs) {
+ bio := xml.New(fs)
+ group := schema.Group{}
+ err := bio.ReadFile("group.xml", &group)
+ require.NoError(t, err)
+ },
+ },
+ {
+ scenario: "valid group file with JSON encoding from args format",
+ args: []string{"-o", "group", "--format", "json"},
+ err: nil,
+ validateFn: func(t *testing.T, fs afero.Fs) {
+ bio := json.New(fs)
+ group := schema.Group{}
+ err := bio.ReadFile("group.json", &group)
+ require.NoError(t, err)
+ },
+ },
+ {
+ scenario: "valid group file with YAML encoding from args format",
+ args: []string{"-o", "group", "--format", "yaml"},
+ err: nil,
+ validateFn: func(t *testing.T, fs afero.Fs) {
+ bio := yaml.New(fs)
+ group := schema.Group{}
+ err := bio.ReadFile("group.yaml", &group)
+ require.NoError(t, err)
+ },
+ },
+ {
+ scenario: "valid group file with XML encoding from args format",
+ args: []string{"-o", "group", "--format", "xml"},
+ err: nil,
+ validateFn: func(t *testing.T, fs afero.Fs) {
+ bio := xml.New(fs)
+ group := schema.Group{}
+ err := bio.ReadFile("group.xml", &group)
+ require.NoError(t, err)
+ },
+ },
+ {
+ scenario: "valid group file with encoding override from args format",
+ args: []string{"-o", "group.xml", "--format", "json"},
+ err: nil,
+ validateFn: func(t *testing.T, fs afero.Fs) {
+ bio := json.New(fs)
+ group := schema.Group{}
+ err := bio.ReadFile("group.xml.json", &group)
+ require.NoError(t, err)
+ },
+ },
+ {
+ scenario: "group file with specified file permission",
+ args: []string{"-o", "group.json", "--perm", "666"},
+ err: nil,
+ validateFn: func(t *testing.T, fs afero.Fs) {
+ info, err := fs.Stat("group.json")
+ require.NoError(t, err)
+ require.EqualValues(t, iofs.FileMode(0o666), info.Mode())
+ },
+ },
+ {
+ scenario: "group file with invalid file permission",
+ args: []string{"-o", "group.json", "--perm", "66s"},
+ err: fmt.Errorf("invalid argument \"66s\" for \"--perm\" flag: strconv.ParseUint: parsing \"66s\": invalid syntax"),
+ },
+ {
+ scenario: "group with specified prime size (short option)",
+ args: []string{"-o", "group.json", "-b", "256"},
+ err: nil,
+ validateFn: func(t *testing.T, fs afero.Fs) {
+ bio := json.New(fs)
+ group := schema.Group{}
+ err := bio.ReadFile("group.json", &group)
+ require.NoError(t, err)
+
+ require.GreaterOrEqual(t, group.P.BitLen(), 256)
+ },
+ },
+ {
+ scenario: "group with specified prime size (long option)",
+ args: []string{"-o", "group.json", "--bits", "256"},
+ err: nil,
+ validateFn: func(t *testing.T, fs afero.Fs) {
+ bio := json.New(fs)
+ group := schema.Group{}
+ err := bio.ReadFile("group.json", &group)
+ require.NoError(t, err)
+
+ require.GreaterOrEqual(t, group.P.BitLen(), 256)
+ },
+ },
+ }
+
+ for _, scenario := range testCases {
+ t.Run(scenario.scenario, func(t *testing.T) {
+ fs := afero.NewMemMapFs()
+
+ generateCmd, err := cmd.NewGenerateCommand(fs)
+ require.NoError(t, err)
+
+ buf := new(bytes.Buffer)
+ generateCmd.SetOut(buf)
+ generateCmd.SetErr(buf)
+
+ generateCmd.SetArgs(scenario.args)
+
+ err = generateCmd.Execute()
+ require.EqualValues(t, scenario.err, err)
+
+ if scenario.validateFn != nil {
+ scenario.validateFn(t, fs)
+ }
+ })
+ }
+}
diff --git a/internal/cmd/pedersenflags.go b/internal/cmd/pedersenflags.go
new file mode 100644
index 0000000..de990b4
--- /dev/null
+++ b/internal/cmd/pedersenflags.go
@@ -0,0 +1,71 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package cmd
+
+import (
+ "fmt"
+ "strings"
+
+ "github.com/spf13/afero"
+ "github.com/spf13/cobra"
+)
+
+type pedersenFlags struct {
+ parts int
+ threshold int
+ groupFile string
+}
+
+func (p *pedersenFlags) register(cmd *cobra.Command) error {
+ cmd.PersistentFlags().IntVarP(&p.parts, "parts", "p", defaultPedersenParts, "shares parts")
+ cmd.PersistentFlags().IntVarP(&p.threshold, "threshold", "t", defaultPedersenThreshold, "shares threshold")
+ cmd.PersistentFlags().StringVarP(&p.groupFile, "group", "g", "", "group file")
+
+ return cmd.MarkPersistentFlagRequired("group")
+}
+
+type secretSharesFlags struct {
+ sharesFilePattern string
+ commitmentsFile string
+
+ fs afero.Fs
+}
+
+func (s *secretSharesFlags) register(cmd *cobra.Command) error {
+ cmd.PersistentFlags().StringVarP(&s.sharesFilePattern, "shares", "", "", `secret shares files pattern expression.
+Use '*' as placeholder for the index of the share
+(e.g. shares/shareholder-*)`)
+ cmd.PersistentFlags().StringVarP(&s.commitmentsFile, "commitments", "", "", "commitments file")
+
+ err := cmd.MarkPersistentFlagRequired("shares")
+ if err != nil {
+ return err
+ }
+
+ return cmd.MarkPersistentFlagRequired("commitments")
+}
+
+func (s *secretSharesFlags) share(index int) string {
+ return strings.ReplaceAll(s.sharesFilePattern, "*", fmt.Sprintf("%d", index))
+}
+
+type secretShareFlags struct {
+ shareFile string
+ commitmentsFile string
+}
+
+func (s *secretShareFlags) register(cmd *cobra.Command) error {
+ cmd.PersistentFlags().StringVarP(&s.shareFile, "share", "", "", "secret shares file")
+ cmd.PersistentFlags().StringVarP(&s.commitmentsFile, "commitments", "", "", "commitments file")
+
+ err := cmd.MarkPersistentFlagRequired("share")
+ if err != nil {
+ return err
+ }
+
+ return cmd.MarkPersistentFlagRequired("commitments")
+}
diff --git a/internal/cmd/root.go b/internal/cmd/root.go
new file mode 100644
index 0000000..4922dd3
--- /dev/null
+++ b/internal/cmd/root.go
@@ -0,0 +1,97 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package cmd
+
+import (
+ "os"
+
+ perrors "github.com/matteoarella/pedersen/internal/errors"
+ "github.com/matteoarella/pedersen/internal/logger"
+ "github.com/sirupsen/logrus"
+ "github.com/spf13/afero"
+ "github.com/spf13/cobra"
+)
+
+type RootCommand struct {
+ cobra.Command
+
+ logLevel string
+ logOutput string
+}
+
+func NewRootCommand(fs afero.Fs) (*RootCommand, error) {
+ rootCmd := &RootCommand{}
+
+ rootCmd.Command = cobra.Command{
+ PersistentPreRunE: func(c *cobra.Command, args []string) error {
+ return logger.Init(rootCmd.logLevel, rootCmd.logOutput)
+ },
+ }
+
+ rootCmd.PersistentFlags().StringVarP(&rootCmd.logLevel, "loglevel", "", "INFO", "logging level")
+ rootCmd.PersistentFlags().StringVarP(&rootCmd.logOutput, "logfile", "", "", "logging file")
+
+ rootCmd.SetFlagErrorFunc(func(cmd *cobra.Command, err error) error {
+ cmd.PrintErrln(err)
+ cmd.PrintErrln()
+ cmd.PrintErrln(cmd.UsageString())
+
+ os.Exit(1)
+
+ return nil
+ })
+
+ versionCmd, err := NewVersionCommand()
+ if err != nil {
+ return nil, err
+ }
+
+ generateCmd, err := NewGenerateCommand(fs)
+ if err != nil {
+ return nil, err
+ }
+
+ splitCmd, err := NewSplitCommand(fs)
+ if err != nil {
+ return nil, err
+ }
+
+ verifyCmd, err := NewVerifyCommand(fs)
+ if err != nil {
+ return nil, err
+ }
+
+ combineCmd, err := NewCombineCommand(fs)
+ if err != nil {
+ return nil, err
+ }
+
+ rootCmd.AddCommand(&versionCmd.Command,
+ &generateCmd.Command,
+ &splitCmd.Command,
+ &verifyCmd.Command,
+ &combineCmd.Command,
+ )
+
+ return rootCmd, nil
+}
+
+func Execute() error {
+ fs := afero.NewOsFs()
+
+ rootCmd, err := NewRootCommand(fs)
+ if err != nil {
+ return err
+ }
+
+ err = rootCmd.Execute()
+ if err != nil {
+ logrus.Error(perrors.UnwrapAll(err))
+ }
+
+ return err
+}
diff --git a/internal/cmd/root_test.go b/internal/cmd/root_test.go
new file mode 100644
index 0000000..02807d7
--- /dev/null
+++ b/internal/cmd/root_test.go
@@ -0,0 +1,20 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package cmd_test
+
+import (
+ "testing"
+
+ "github.com/spf13/afero"
+)
+
+type CliCmdTestCase struct {
+ scenario string
+ args []string
+ err error
+ validateFn func(t *testing.T, fs afero.Fs)
+}
diff --git a/internal/cmd/split.go b/internal/cmd/split.go
new file mode 100644
index 0000000..80147a3
--- /dev/null
+++ b/internal/cmd/split.go
@@ -0,0 +1,122 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package cmd
+
+import (
+ iofs "io/fs"
+
+ "github.com/matteoarella/pedersen"
+ "github.com/matteoarella/pedersen/internal/schema"
+ "github.com/spf13/afero"
+ "github.com/spf13/cobra"
+)
+
+const (
+ defaultPedersenParts = 5
+ defaultPedersenThreshold = 3
+)
+
+type SplitCommand struct {
+ cobra.Command
+
+ fileFmtFlags
+ pedersenFlags
+ secretSharesFlags
+ inFile string
+ fs afero.Fs
+}
+
+func NewSplitCommand(fs afero.Fs) (*SplitCommand, error) {
+ splitCmd := &SplitCommand{
+ fs: fs,
+ secretSharesFlags: secretSharesFlags{
+ fs: fs,
+ },
+ }
+
+ splitCmd.Command = cobra.Command{
+ Use: "split",
+ Short: "Split secret into Pedersen shares",
+ RunE: func(*cobra.Command, []string) error {
+ return splitCmd.execute()
+ },
+ }
+
+ err := splitCmd.pedersenFlags.register(&splitCmd.Command)
+ if err != nil {
+ return nil, err
+ }
+
+ err = splitCmd.secretSharesFlags.register(&splitCmd.Command)
+ if err != nil {
+ return nil, err
+ }
+
+ splitCmd.fileFmtFlags.register(&splitCmd.Command)
+
+ splitCmd.PersistentFlags().StringVarP(&splitCmd.inFile, "in", "i", "", "input file")
+
+ err = splitCmd.MarkPersistentFlagRequired("in")
+ if err != nil {
+ return nil, err
+ }
+
+ return splitCmd, nil
+}
+
+func (s *SplitCommand) execute() error {
+ group := schema.Group{}
+ if err := readFileAutofmt(s.fs, s.groupFile, &group); err != nil {
+ return err
+ }
+
+ // read secret file
+ inFile, err := afero.ReadFile(s.fs, s.inFile)
+ if err != nil {
+ return err
+ }
+
+ p, err := pedersen.NewPedersen(s.parts,
+ s.threshold,
+ pedersen.CyclicGroup(&pedersen.Group{
+ P: group.P,
+ Q: group.Q,
+ G: group.G,
+ H: group.H,
+ }),
+ )
+ if err != nil {
+ return err
+ }
+
+ shares, err := p.Split(inFile, nil)
+ if err != nil {
+ return err
+ }
+
+ for i := 0; i < s.parts; i++ {
+ parts := schema.Shares{
+ Abscissa: shares.Abscissae[i],
+ Parts: shares.Parts[i],
+ }
+
+ if err := writeFileAutofmt(s.fs, s.fileFmt, s.share(i), parts, iofs.FileMode(s.filePerm)); err != nil {
+ return err
+ }
+ }
+
+ commitments := schema.Commitments{
+ Commitments: shares.Commitments,
+ }
+
+ return writeFileAutofmt(s.fs,
+ s.fileFmt,
+ s.commitmentsFile,
+ commitments,
+ iofs.FileMode(s.filePerm),
+ )
+}
diff --git a/internal/cmd/verify.go b/internal/cmd/verify.go
new file mode 100644
index 0000000..bf90876
--- /dev/null
+++ b/internal/cmd/verify.go
@@ -0,0 +1,200 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package cmd
+
+import (
+ "errors"
+ iofs "io/fs"
+
+ "github.com/matteoarella/pedersen"
+ "github.com/matteoarella/pedersen/big"
+ "github.com/matteoarella/pedersen/internal/schema"
+ "github.com/spf13/afero"
+ "github.com/spf13/cobra"
+ "golang.org/x/sync/errgroup"
+)
+
+type VerifySharesCommand struct {
+ cobra.Command
+
+ pedersenFlags
+ secretSharesFlags
+ fs afero.Fs
+}
+
+func (v *VerifySharesCommand) execute() error {
+ group := pedersen.Group{}
+
+ if err := readFileAutofmt(v.fs, v.groupFile, &group); err != nil {
+ return err
+ }
+
+ commitments := schema.Commitments{}
+ if err := readFileAutofmt(v.fs, v.commitmentsFile, &commitments); err != nil {
+ return err
+ }
+
+ shares := &pedersen.Shares{
+ Abscissae: make([]*big.Int, v.parts),
+ Commitments: commitments.Commitments,
+ Parts: make([][]pedersen.SecretPart, v.parts),
+ }
+
+ for i := 0; i < v.parts; i++ {
+ parts := schema.Shares{}
+
+ shareFile := v.share(i)
+
+ if err := readFileAutofmt(v.fs, shareFile, &parts); err != nil {
+ if errors.Is(err, iofs.ErrNotExist) {
+ continue
+ }
+
+ return err
+ }
+
+ shares.Abscissae[i] = parts.Abscissa
+ shares.Parts[i] = parts.Parts
+ }
+
+ p, err := pedersen.NewPedersen(v.parts,
+ v.threshold,
+ pedersen.CyclicGroup(&group),
+ )
+ if err != nil {
+ return err
+ }
+
+ return p.VerifyShares(shares)
+}
+
+func NewVerifySharesCommand(fs afero.Fs) (*VerifySharesCommand, error) {
+ verifySharesCmd := &VerifySharesCommand{
+ fs: fs,
+ secretSharesFlags: secretSharesFlags{
+ fs: fs,
+ },
+ }
+
+ verifySharesCmd.Command = cobra.Command{
+ Use: "shares",
+ Short: "Verify Pedersen shares",
+ RunE: func(*cobra.Command, []string) error {
+ return verifySharesCmd.execute()
+ },
+ }
+
+ err := verifySharesCmd.pedersenFlags.register(&verifySharesCmd.Command)
+ if err != nil {
+ return nil, err
+ }
+
+ err = verifySharesCmd.secretSharesFlags.register(&verifySharesCmd.Command)
+ if err != nil {
+ return nil, err
+ }
+
+ return verifySharesCmd, nil
+}
+
+type VerifyPartCommand struct {
+ cobra.Command
+
+ pedersenFlags
+ secretShareFlags
+ Fs afero.Fs
+}
+
+func (v *VerifyPartCommand) execute() error {
+ group := pedersen.Group{}
+
+ if err := readFileAutofmt(v.Fs, v.groupFile, &group); err != nil {
+ return err
+ }
+
+ commitments := schema.Commitments{}
+ if err := readFileAutofmt(v.Fs, v.commitmentsFile, &commitments); err != nil {
+ return err
+ }
+
+ parts := schema.Shares{}
+ if err := readFileAutofmt(v.Fs, v.shareFile, &parts); err != nil {
+ return err
+ }
+
+ p, err := pedersen.NewPedersen(v.parts,
+ v.threshold,
+ pedersen.CyclicGroup(&group),
+ )
+ if err != nil {
+ return err
+ }
+
+ g := errgroup.Group{}
+
+ for i := 0; i < len(parts.Parts); i++ {
+ i := i
+ g.Go(func() error {
+ return p.Verify(parts.Abscissa, parts.Parts[i], commitments.Commitments[i])
+ })
+ }
+
+ return g.Wait()
+}
+
+func NewVerifyPartCommand(fs afero.Fs) (*VerifyPartCommand, error) {
+ verifyPartCmd := &VerifyPartCommand{
+ Fs: fs,
+ }
+
+ verifyPartCmd.Command = cobra.Command{
+ Use: "part",
+ Short: "Verify Pedersen part",
+ RunE: func(*cobra.Command, []string) error {
+ return verifyPartCmd.execute()
+ },
+ }
+
+ if err := verifyPartCmd.pedersenFlags.register(&verifyPartCmd.Command); err != nil {
+ return nil, err
+ }
+
+ if err := verifyPartCmd.secretShareFlags.register(&verifyPartCmd.Command); err != nil {
+ return nil, err
+ }
+
+ return verifyPartCmd, nil
+}
+
+type VerifyCommand struct {
+ cobra.Command
+
+ fs afero.Fs
+}
+
+func NewVerifyCommand(fs afero.Fs) (*VerifyCommand, error) {
+ verifyCmd := &VerifyCommand{fs: fs}
+
+ verifyCmd.Command = cobra.Command{
+ Use: "verify",
+ Short: "Verify Pedersen shares or parts",
+ }
+
+ verifySharesCommand, err := NewVerifySharesCommand(verifyCmd.fs)
+ if err != nil {
+ return nil, err
+ }
+
+ verifyPartCommand, err := NewVerifyPartCommand(verifyCmd.fs)
+ if err != nil {
+ return nil, err
+ }
+
+ verifyCmd.AddCommand(&verifySharesCommand.Command, &verifyPartCommand.Command)
+
+ return verifyCmd, nil
+}
diff --git a/internal/cmd/version.go b/internal/cmd/version.go
new file mode 100644
index 0000000..492b4c9
--- /dev/null
+++ b/internal/cmd/version.go
@@ -0,0 +1,37 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package cmd
+
+import (
+ "strings"
+
+ "github.com/matteoarella/pedersen/internal"
+ "github.com/spf13/cobra"
+)
+
+type VersionCommand struct {
+ cobra.Command
+}
+
+func NewVersionCommand() (*VersionCommand, error) {
+ versionCmd := &VersionCommand{}
+
+ versionCmd.Command = cobra.Command{
+ Use: "version",
+ Short: "Show the Pedersen version information",
+ RunE: func(*cobra.Command, []string) error {
+ return versionCmd.execute()
+ },
+ }
+
+ return versionCmd, nil
+}
+
+func (v *VersionCommand) execute() error {
+ v.Println(strings.TrimPrefix(internal.Version, "v"))
+ return nil
+}
diff --git a/internal/errors/errors.go b/internal/errors/errors.go
new file mode 100644
index 0000000..939c184
--- /dev/null
+++ b/internal/errors/errors.go
@@ -0,0 +1,56 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package errors
+
+import (
+ "errors"
+ "fmt"
+)
+
+// Error represents an error that could be wrapping another error.
+type Error struct {
+ orig error
+ msg string
+}
+
+// WrapErrorf returns a wrapped error.
+func WrapErrorf(orig error, format string, a ...interface{}) error {
+ return &Error{
+ orig: orig,
+ msg: fmt.Sprintf(format, a...),
+ }
+}
+
+// NewErrorf instantiates a new error.
+func NewErrorf(format string, a ...interface{}) error {
+ return WrapErrorf(nil, format, a...)
+}
+
+// Error returns the message, when wrapping errors the wrapped error is returned.
+func (e *Error) Error() string {
+ if e.orig != nil {
+ return fmt.Sprintf("%s: %v", e.msg, e.orig)
+ }
+
+ return e.msg
+}
+
+// Unwrap returns the wrapped error, if any.
+func (e *Error) Unwrap() error {
+ return e.orig
+}
+
+func UnwrapAll(err error) error {
+ for {
+ newErr := errors.Unwrap(err)
+ if newErr == nil {
+ return err
+ }
+
+ err = newErr
+ }
+}
diff --git a/internal/errors/errors_test.go b/internal/errors/errors_test.go
new file mode 100644
index 0000000..358364a
--- /dev/null
+++ b/internal/errors/errors_test.go
@@ -0,0 +1,25 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package errors_test
+
+import (
+ "errors"
+ "testing"
+
+ perrors "github.com/matteoarella/pedersen/internal/errors"
+ "github.com/stretchr/testify/require"
+)
+
+func TestErrorsValid(t *testing.T) {
+ err := errors.New("base error") //nolint:goerr113
+ wrapped := perrors.WrapErrorf(err, "[Wrapped1]")
+ require.EqualError(t, wrapped, "[Wrapped1]: base error")
+ wrapped = perrors.WrapErrorf(wrapped, "[Wrapped2]")
+ require.EqualError(t, wrapped, "[Wrapped2]: [Wrapped1]: base error")
+ wrapped = perrors.UnwrapAll(wrapped)
+ require.EqualError(t, wrapped, "base error")
+}
diff --git a/internal/io/io.go b/internal/io/io.go
new file mode 100644
index 0000000..0c67c8e
--- /dev/null
+++ b/internal/io/io.go
@@ -0,0 +1,66 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package io
+
+import (
+ "errors"
+ "io/fs"
+ "path"
+ "path/filepath"
+
+ perrors "github.com/matteoarella/pedersen/internal/errors"
+ "github.com/spf13/afero"
+)
+
+var (
+ ErrUnknownFileExtension = errors.New("unknown file extension")
+)
+
+type IO interface {
+ ReadFile(name string, v interface{}) error
+ WriteFile(name string, v interface{}, perm fs.FileMode) error
+ Ext() string
+}
+
+type BaseIO struct {
+ Fs afero.Fs
+}
+
+func (b BaseIO) ReadFile(name, ext string) ([]byte, error) {
+ if len(filepath.Ext(name)) < 1 {
+ name += ext
+ }
+
+ data, err := afero.ReadFile(b.Fs, name)
+ if err != nil {
+ return nil, perrors.WrapErrorf(err, "[BaseIO.ReadFile]")
+ }
+
+ return data, nil
+}
+
+func (b BaseIO) WriteFile(name, ext string, data []byte, perm fs.FileMode) error {
+ if filepath.Ext(name) != ext {
+ name += ext
+ }
+
+ dir := path.Dir(name)
+ // Make sure the directory permission has the executable bit set
+ dirPerm := perm | 0o111
+
+ err := b.Fs.MkdirAll(dir, dirPerm)
+ if err != nil {
+ return perrors.WrapErrorf(err, "[BaseIO.MkdirAll]")
+ }
+
+ err = afero.WriteFile(b.Fs, name, data, perm)
+ if err != nil {
+ return perrors.WrapErrorf(err, "[BaseIO.WriteFile]")
+ }
+
+ return nil
+}
diff --git a/internal/io/json/json.go b/internal/io/json/json.go
new file mode 100644
index 0000000..3e817d6
--- /dev/null
+++ b/internal/io/json/json.go
@@ -0,0 +1,59 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package json
+
+import (
+ "encoding/json"
+ iofs "io/fs"
+ "path/filepath"
+
+ perrors "github.com/matteoarella/pedersen/internal/errors"
+ "github.com/matteoarella/pedersen/internal/io"
+ "github.com/spf13/afero"
+)
+
+type jsonIO struct {
+ io.BaseIO
+}
+
+func New(fs afero.Fs) io.IO {
+ return jsonIO{
+ BaseIO: io.BaseIO{
+ Fs: fs,
+ },
+ }
+}
+
+func Ext() string {
+ return ".json"
+}
+
+func (j jsonIO) Ext() string {
+ return Ext()
+}
+
+func (j jsonIO) ReadFile(name string, v interface{}) error {
+ fileData, err := j.BaseIO.ReadFile(name, Ext())
+ if err != nil {
+ return perrors.WrapErrorf(err, "[jsonIO.ReadFile]")
+ }
+
+ return json.Unmarshal(fileData, v)
+}
+
+func (j jsonIO) WriteFile(name string, v interface{}, perm iofs.FileMode) error {
+ jsonData, err := json.Marshal(v)
+ if err != nil {
+ return perrors.WrapErrorf(err, "[jsonIO.WriteFile]")
+ }
+
+ if len(filepath.Ext(name)) < 1 {
+ name += j.Ext()
+ }
+
+ return j.BaseIO.WriteFile(name, Ext(), jsonData, perm)
+}
diff --git a/internal/io/xml/xml.go b/internal/io/xml/xml.go
new file mode 100644
index 0000000..b91d3cb
--- /dev/null
+++ b/internal/io/xml/xml.go
@@ -0,0 +1,60 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package xml
+
+import (
+ "encoding/xml"
+ iofs "io/fs"
+ "path/filepath"
+
+ perrors "github.com/matteoarella/pedersen/internal/errors"
+ "github.com/matteoarella/pedersen/internal/io"
+ "github.com/spf13/afero"
+)
+
+type xmlIO struct {
+ io.BaseIO
+}
+
+func New(fs afero.Fs) io.IO {
+ return xmlIO{
+ BaseIO: io.BaseIO{
+ Fs: fs,
+ },
+ }
+}
+
+func Ext() string {
+ return ".xml"
+}
+
+func (x xmlIO) Ext() string {
+ return Ext()
+}
+
+func (x xmlIO) ReadFile(name string, v interface{}) error {
+ fileData, err := x.BaseIO.ReadFile(name, Ext())
+ if err != nil {
+ return perrors.WrapErrorf(err, "[xmlIO.ReadFile]")
+ }
+
+ return xml.Unmarshal(fileData, v)
+}
+
+func (x xmlIO) WriteFile(name string, v interface{}, perm iofs.FileMode) error {
+ derData, err := xml.Marshal(v)
+ if err != nil {
+ return perrors.WrapErrorf(err, "[xmlIO.WriteFile]")
+ }
+
+ ext := filepath.Ext(name)
+ if len(ext) < 1 {
+ name += x.Ext()
+ }
+
+ return x.BaseIO.WriteFile(name, Ext(), derData, perm)
+}
diff --git a/internal/io/yaml/yaml.go b/internal/io/yaml/yaml.go
new file mode 100644
index 0000000..137884d
--- /dev/null
+++ b/internal/io/yaml/yaml.go
@@ -0,0 +1,54 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package yaml
+
+import (
+ iofs "io/fs"
+
+ perrors "github.com/matteoarella/pedersen/internal/errors"
+ "github.com/matteoarella/pedersen/internal/io"
+ "github.com/spf13/afero"
+ "gopkg.in/yaml.v3"
+)
+
+type yamlIO struct {
+ io.BaseIO
+}
+
+func New(fs afero.Fs) io.IO {
+ return yamlIO{
+ BaseIO: io.BaseIO{
+ Fs: fs,
+ },
+ }
+}
+
+func Ext() string {
+ return ".yaml"
+}
+
+func (y yamlIO) Ext() string {
+ return Ext()
+}
+
+func (y yamlIO) ReadFile(name string, v interface{}) error {
+ fileData, err := y.BaseIO.ReadFile(name, Ext())
+ if err != nil {
+ return perrors.WrapErrorf(err, "[yamlIO.ReadFile]")
+ }
+
+ return yaml.Unmarshal(fileData, v)
+}
+
+func (y yamlIO) WriteFile(name string, v interface{}, perm iofs.FileMode) error {
+ yamlData, err := yaml.Marshal(v)
+ if err != nil {
+ return perrors.WrapErrorf(err, "[yamlIO.WriteFile]")
+ }
+
+ return y.BaseIO.WriteFile(name, Ext(), yamlData, perm)
+}
diff --git a/internal/logger/logger.go b/internal/logger/logger.go
new file mode 100644
index 0000000..562e472
--- /dev/null
+++ b/internal/logger/logger.go
@@ -0,0 +1,75 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package logger
+
+import (
+ "io"
+ "os"
+ "strings"
+ "time"
+
+ "github.com/sirupsen/logrus"
+)
+
+type UTCFormatter struct {
+ logrus.Formatter
+}
+
+func (u UTCFormatter) Format(e *logrus.Entry) ([]byte, error) {
+ e.Time = e.Time.UTC()
+ return u.Formatter.Format(e)
+}
+
+func writerForOutput(output string) (io.Writer, error) {
+ if len(output) < 1 {
+ return io.Discard, nil
+ } else if strings.ToLower(output) == "stdout" {
+ return os.Stdout, nil
+ }
+
+ logFile, err := os.OpenFile(output, os.O_CREATE|os.O_WRONLY, 0o644)
+ if err != nil {
+ return nil, err
+ }
+
+ logrus.RegisterExitHandler(func() {
+ if logFile == nil {
+ return
+ }
+
+ logFile.Close() //nolint: errcheck
+ })
+
+ return logFile, nil
+}
+
+func Init(logLevel string, output string) error {
+ level, err := logrus.ParseLevel(logLevel)
+ if err != nil {
+ return err
+ }
+
+ logrus.SetLevel(level)
+
+ logrus.SetFormatter(UTCFormatter{&logrus.JSONFormatter{
+ FieldMap: logrus.FieldMap{
+ logrus.FieldKeyTime: "timestamp",
+ logrus.FieldKeyLevel: "severity",
+ logrus.FieldKeyMsg: "message",
+ },
+ TimestampFormat: time.RFC3339Nano,
+ }})
+
+ logWriter, err := writerForOutput(output)
+ if err != nil {
+ return err
+ }
+
+ logrus.SetOutput(logWriter)
+
+ return nil
+}
diff --git a/internal/schema/schema.go b/internal/schema/schema.go
new file mode 100644
index 0000000..a4e965f
--- /dev/null
+++ b/internal/schema/schema.go
@@ -0,0 +1,28 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package schema
+
+import (
+ "github.com/matteoarella/pedersen"
+ "github.com/matteoarella/pedersen/big"
+)
+
+type Group struct {
+ P *big.Int `json:"p" yaml:"p" xml:"p"`
+ Q *big.Int `json:"q" yaml:"q" xml:"q"`
+ G *big.Int `json:"g" yaml:"g" xml:"g"`
+ H *big.Int `json:"h" yaml:"h" xml:"h"`
+}
+
+type Shares struct {
+ Abscissa *big.Int `json:"abscissa" yaml:"abscissa" xml:"abscissa"`
+ Parts []pedersen.SecretPart `json:"parts" yaml:"parts" xml:"parts"`
+}
+
+type Commitments struct {
+ Commitments [][]*big.Int `json:"commitments" yaml:"commitments" xml:"commitments"`
+}
diff --git a/internal/version.go b/internal/version.go
new file mode 100644
index 0000000..57ba84b
--- /dev/null
+++ b/internal/version.go
@@ -0,0 +1,9 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package internal
+
+var Version = "dev"
diff --git a/pedersen.go b/pedersen.go
new file mode 100644
index 0000000..585e670
--- /dev/null
+++ b/pedersen.go
@@ -0,0 +1,198 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package pedersen
+
+import (
+ "errors"
+ "fmt"
+ "runtime"
+
+ "github.com/matteoarella/pedersen/big"
+)
+
+const (
+ defaultGroupPrimeBitLen = 128
+ minThreshold = 2
+)
+
+var (
+ defaultConcLimit = runtime.NumCPU()
+)
+
+// errors
+var (
+ ErrInvalidOptions = errors.New("invalid options")
+ ErrInvalidThreshold = fmt.Errorf("threshold must be at least %d", minThreshold)
+)
+
+// Option represents an option for configuring a Pedersen struct.
+type Option func(*Pedersen)
+
+// The CyclicGroup option sets the cyclic group to be used.
+func CyclicGroup(group *Group) Option {
+ return func(p *Pedersen) {
+ p.group = group
+ }
+}
+
+// The ConcLimit option sets the maximum number of concurrent operations.
+// If a negative number is provided, the number of concurrent operations
+// is set to the number of CPUs.
+func ConcLimit(concLimit int) Option {
+ return func(p *Pedersen) {
+ if concLimit < 1 {
+ concLimit = defaultConcLimit
+ }
+
+ p.concLimit = concLimit
+ }
+}
+
+// A Pedersen struct used for splitting, reconstructing, and verifying secrets.
+type Pedersen struct {
+ group *Group
+
+ threshold int
+ parts int
+ concLimit int
+}
+
+func (p *Pedersen) validate() error {
+ if p.threshold < minThreshold {
+ return ErrInvalidThreshold
+ }
+
+ if p.parts < p.threshold {
+ return ErrInsufficientSharesParts
+ }
+
+ return nil
+}
+
+// NewPedersen creates a new Pedersen struct with the provided (threshold, parts) scheme.
+// With such a scheme a secret is split into parts shares, of which at least threshold
+// are required to reconstruct the secret.
+// A new randomly generated cyclic group is used if none is provided.
+func NewPedersen(parts, threshold int, options ...Option) (*Pedersen, error) {
+ defaultPedersenOptions := []Option{
+ ConcLimit(defaultConcLimit),
+ }
+
+ p := &Pedersen{
+ parts: parts,
+ threshold: threshold,
+ }
+
+ for _, o := range defaultPedersenOptions {
+ o(p)
+ }
+
+ // override default options
+ for _, o := range options {
+ o(p)
+ }
+
+ if p.group != nil {
+ if err := p.group.validate(); err != nil {
+ return nil, err
+ }
+ } else {
+ group, err := NewSchnorrGroup(defaultGroupPrimeBitLen)
+ if err != nil {
+ return nil, err
+ }
+
+ p.group = group
+ }
+
+ if err := p.validate(); err != nil {
+ return nil, err
+ }
+
+ return p, nil
+}
+
+// GetThreshold returns the threshold of the Pedersen struct.
+func (p *Pedersen) GetThreshold() int {
+ return p.threshold
+}
+
+// GetThreshold returns the parts of the Pedersen struct.
+func (p *Pedersen) GetParts() int {
+ return p.parts
+}
+
+// GetGroup returns the cyclic group of the Pedersen struct.
+func (p *Pedersen) GetGroup() *Group {
+ return p.group
+}
+
+// GetConcLimit returns the maximum number of concurrent operations
+// of the Pedersen struct.
+func (p *Pedersen) GetConcLimit() int {
+ return p.concLimit
+}
+
+func (p *Pedersen) adjustConcLimit(num int) int {
+ concLimit := p.GetConcLimit()
+ if concLimit > num {
+ return num
+ }
+
+ return concLimit
+}
+
+func (p *Pedersen) balanceIndices(length, numChunks int) []chunkRange {
+ var ranges []chunkRange
+
+ chunkSize := (length + numChunks - 1) / numChunks
+
+ for start := 0; start < length; start += chunkSize {
+ end := start + chunkSize
+
+ if end > length {
+ end = length
+ }
+
+ ranges = append(ranges, chunkRange{
+ start: start,
+ end: end,
+ })
+ }
+
+ return ranges
+}
+
+func (p *Pedersen) commit(
+ mont *big.MontgomeryContext,
+ ctx *big.IntContext,
+ s *big.Int,
+ t *big.Int,
+) (*big.Int, error) {
+ gs, err := big.NewInt()
+ if err != nil {
+ return nil, err
+ }
+ ht, err := ctx.GetInt()
+ if err != nil {
+ return nil, err
+ }
+
+ if err := gs.ModExpMont(mont, ctx, p.group.G, s, p.group.P); err != nil {
+ return nil, err
+ }
+
+ if err := ht.ModExpMont(mont, ctx, p.group.H, t, p.group.P); err != nil {
+ return nil, err
+ }
+
+ if err := gs.ModMul(ctx, gs, ht, p.group.P); err != nil {
+ return nil, err
+ }
+
+ return gs, nil
+}
diff --git a/pedersen_test.go b/pedersen_test.go
new file mode 100644
index 0000000..70865b3
--- /dev/null
+++ b/pedersen_test.go
@@ -0,0 +1,120 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package pedersen_test
+
+import (
+ "testing"
+
+ "github.com/matteoarella/pedersen"
+ "github.com/matteoarella/pedersen/big"
+
+ "github.com/stretchr/testify/require"
+)
+
+type pedersenParameters struct {
+ parts int
+ threshold int
+}
+
+type pedersenTestCases struct {
+ description string
+ parameters pedersenParameters
+ options []pedersen.Option
+}
+
+func getTestSchnorrGroup(t *testing.T) *pedersen.Group {
+ P, err := big.NewInt()
+ require.NoError(t, err)
+ Q, err := big.NewInt()
+ require.NoError(t, err)
+ G, err := big.NewInt()
+ require.NoError(t, err)
+ H, err := big.NewInt()
+ require.NoError(t, err)
+
+ err = P.SetDecString("17634709279010524619")
+ require.NoError(t, err)
+ err = Q.SetDecString("8817354639505262309")
+ require.NoError(t, err)
+ err = G.SetDecString("8414335786771157015")
+ require.NoError(t, err)
+ err = H.SetDecString("15078279289296123424")
+ require.NoError(t, err)
+
+ return &pedersen.Group{
+ P: P,
+ Q: Q,
+ G: G,
+ H: H,
+ }
+}
+
+func TestPedersenInvalid(t *testing.T) {
+ group := getTestSchnorrGroup(t)
+
+ for _, scenario := range []pedersenTestCases{
+ {
+ parameters: pedersenParameters{
+ parts: 0,
+ threshold: 0,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ description: "zero threshold and zero parts",
+ },
+ {
+ parameters: pedersenParameters{
+ parts: 3,
+ threshold: 5,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ description: "threshold greater than parts",
+ },
+ {
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 1,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ description: "threshold value too small",
+ },
+ } {
+ t.Run(scenario.description, func(t *testing.T) {
+ _, err := pedersen.NewPedersen(scenario.parameters.parts, scenario.parameters.threshold, scenario.options...)
+ require.Error(t, err)
+ })
+ }
+}
+
+func TestPedersenValid(t *testing.T) {
+ group := getTestSchnorrGroup(t)
+
+ for _, scenario := range []pedersenTestCases{
+ {
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ description: "valid pedersen parameters",
+ },
+ } {
+ t.Run(scenario.description, func(t *testing.T) {
+ p, err := pedersen.NewPedersen(scenario.parameters.parts, scenario.parameters.threshold, scenario.options...)
+ require.NoError(t, err)
+
+ require.NotNil(t, p)
+ })
+ }
+}
diff --git a/polynomial.go b/polynomial.go
new file mode 100644
index 0000000..27ea40b
--- /dev/null
+++ b/polynomial.go
@@ -0,0 +1,254 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package pedersen
+
+import (
+ "github.com/matteoarella/pedersen/big"
+)
+
+type polynomial struct {
+ coefficients []*big.Int
+ order *big.Int
+}
+
+func genRandNum(min, max *big.Int) (*big.Int, error) {
+ bg, err := big.NewInt()
+ if err != nil {
+ return nil, err
+ }
+
+ if err := bg.Set(max); err != nil {
+ return nil, err
+ }
+
+ if err := bg.Sub(bg, min); err != nil {
+ return nil, err
+ }
+
+ if err := bg.RandRange(max); err != nil {
+ return nil, err
+ }
+
+ if err := bg.Add(bg, min); err != nil {
+ return nil, err
+ }
+
+ return bg, nil
+}
+
+func newPolynomial(intercept *big.Int, degree int, order *big.Int) (polynomial, error) {
+ var err error
+ p := polynomial{
+ coefficients: make([]*big.Int, degree+1),
+ }
+ p.order, err = big.NewInt()
+ if err != nil {
+ return polynomial{}, err
+ }
+ if err := p.order.Set(order); err != nil {
+ return polynomial{}, err
+ }
+
+ min, err := big.NewInt()
+ if err != nil {
+ return polynomial{}, err
+ }
+
+ if err := min.SetUInt64(0); err != nil {
+ return polynomial{}, err
+ }
+
+ if intercept == nil {
+ p.coefficients[0], _ = genRandNum(min, order)
+ } else {
+ coefficient, err := big.NewInt()
+ if err != nil {
+ return polynomial{}, err
+ }
+
+ if err := coefficient.Set(intercept); err != nil {
+ return polynomial{}, err
+ }
+
+ p.coefficients[0] = coefficient
+ }
+
+ if err := randInts(p.coefficients[1:], min, order, false); err != nil {
+ return p, err
+ }
+
+ return p, nil
+}
+
+func (p *polynomial) evaluate(ctx *big.IntContext, x *big.Int) (*big.Int, error) {
+ zero, err := ctx.GetInt()
+ if err != nil {
+ return nil, err
+ }
+
+ if err := zero.SetUInt64(0); err != nil {
+ return nil, err
+ }
+
+ out, err := big.NewInt()
+ if err != nil {
+ return nil, err
+ }
+
+ if x.Cmp(zero) == 0 {
+ if err := out.Set(p.coefficients[0]); err != nil {
+ return nil, err
+ }
+
+ return out, nil
+ }
+
+ degree := len(p.coefficients) - 1
+
+ if err := out.Set(p.coefficients[degree]); err != nil {
+ return nil, err
+ }
+
+ for i := degree - 1; i >= 0; i-- {
+ if err := out.Mul(ctx, out, x); err != nil {
+ return nil, err
+ }
+
+ if err := out.Add(out, p.coefficients[i]); err != nil {
+ return nil, err
+ }
+ }
+
+ if err := out.Mod(ctx, out, p.order); err != nil {
+ return nil, err
+ }
+
+ return out, nil
+}
+
+func interpolatePolynomial(ctx *big.IntContext, xSamples, ySamples []*big.Int, x, order *big.Int) (*big.Int, error) {
+ limit := len(xSamples)
+ result, err := big.NewInt()
+ if err != nil {
+ return nil, err
+ }
+
+ if err := result.SetUInt64(0); err != nil {
+ return nil, err
+ }
+
+ ctx.Attach()
+ defer ctx.Detach()
+
+ for j := 0; j < limit; j++ {
+ basis, err := ctx.GetInt()
+ if err != nil {
+ return nil, err
+ }
+ if err := basis.SetUInt64(1); err != nil {
+ return nil, err
+ }
+
+ for k := 0; k < limit; k++ {
+ if j == k {
+ continue
+ }
+
+ num, err := ctx.GetInt()
+ if err != nil {
+ return nil, err
+ }
+
+ if err := num.Set(xSamples[k]); err != nil {
+ return nil, err
+ }
+
+ if err := num.Sub(num, x); err != nil {
+ return nil, err
+ }
+
+ denom, err := ctx.GetInt()
+ if err != nil {
+ return nil, err
+ }
+
+ if err := denom.Set(xSamples[k]); err != nil {
+ return nil, err
+ }
+
+ if err := denom.Sub(denom, xSamples[j]); err != nil {
+ return nil, err
+ }
+
+ if err := denom.ModInverse(ctx, denom, order); err != nil {
+ return nil, err
+ }
+
+ if err := num.Mul(ctx, num, denom); err != nil {
+ return nil, err
+ }
+
+ if err := basis.Mul(ctx, basis, num); err != nil {
+ return nil, err
+ }
+
+ if err := basis.Mod(ctx, basis, order); err != nil {
+ return nil, err
+ }
+ }
+
+ if err := basis.Mul(ctx, basis, ySamples[j]); err != nil {
+ return nil, err
+ }
+
+ if err := result.Add(result, basis); err != nil {
+ return nil, err
+ }
+ }
+
+ if err := result.Mod(ctx, result, order); err != nil {
+ return nil, err
+ }
+
+ return result, nil
+}
+
+func randInts(slice []*big.Int, min, max *big.Int, distinct bool) error {
+ n := len(slice)
+
+ checkMap := map[string]bool{}
+
+ for i := 0; i < n; i++ {
+ val, err := genRandNum(min, max)
+ if err != nil {
+ return err
+ }
+
+ if distinct {
+ samp := val.String()
+
+ for {
+ if exists := checkMap[samp]; !exists {
+ break
+ }
+
+ val, err = genRandNum(min, max)
+ if err != nil {
+ return err
+ }
+
+ samp = val.String()
+ }
+
+ checkMap[samp] = true
+ }
+
+ slice[i] = val
+ }
+
+ return nil
+}
diff --git a/scripts/openssl.sh b/scripts/openssl.sh
new file mode 100755
index 0000000..34bffbb
--- /dev/null
+++ b/scripts/openssl.sh
@@ -0,0 +1,178 @@
+#!/usr/bin/env bash
+
+set -euxo pipefail
+
+BASEDIR=$(dirname $(dirname $(realpath "$0")))
+ME=$(basename "$0")
+
+usage() {
+ cat <&2 "error: unsupported OpenSSL version '$version'"
+ exit 1 ;;
+esac
+
+openssl_install_from_sources() {
+ local version="$1"
+ local tag="$2"
+ local sha256="$3"
+ local config="$4"
+ local make="$5"
+ local sourcedir="$6"
+ local destdir="$7"
+
+ mkdir -p $sourcedir
+ cd $sourcedir
+ wget -O "$tag.tar.gz" "https://github.com/openssl/openssl/archive/refs/tags/$tag.tar.gz"
+ echo "$sha256 $tag.tar.gz" | sha256sum -c -
+ rm -rf "openssl-$tag"
+ tar -xzf "$tag.tar.gz"
+
+ rm -rf "openssl-$version"
+ mv "openssl-$tag" "openssl-$version"
+
+ cd "openssl-$version"
+ ./Configure $config
+ make DESTDIR="$destdir" -j$(nproc) "$make"
+}
+
+openssl_install_alias_libs() {
+ local version="$1"
+ local sourcedir="$2"
+ local destdir="$3"
+
+ libdir=$(PKG_CONFIG_PATH="$sourcedir/openssl-$version" pkg-config --variable=libdir libcrypto)
+ libdir="$destdir$libdir"
+
+ mkdir -p $libdir
+
+ ls -l $sourcedir/openssl-$version/libcrypto*
+
+ find "$sourcedir/openssl-$version" -name "libcrypto*.a" -type f -print0 | while read -d $'\0' lib; do
+ cp -Lv $lib "$libdir"
+ done
+
+ find "$sourcedir/openssl-$version" \( -name "libcrypto*.so" -o -name "libcrypto*.dylib" -o \
+ -name "libcrypto*.dll" \) -print0 | while read -d $'\0' lib; do
+ name=$(basename "$lib")
+ cp -Lv $lib "$libdir/$name.${version}"
+ done
+}
+
+openssl_install_dev() {
+ local version="$1"
+ local sourcedir="$2"
+ local destdir="$3"
+
+ prefix=$(PKG_CONFIG_PATH="$sourcedir/openssl-$version" pkg-config --variable=prefix libcrypto)
+ includedir=$(PKG_CONFIG_PATH="$sourcedir/openssl-$version" pkg-config --variable=includedir libcrypto)
+ includedir="$destdir$includedir"
+
+ mkdir -p $includedir/openssl "$destdir${prefix}/lib/pkgconfig"
+
+ cp -Lr "$sourcedir/openssl-$version/include/openssl" "$includedir"
+ cp "$sourcedir/openssl-$version/libcrypto.pc" "$destdir${prefix}/lib/pkgconfig"
+}
+
+sourcedir=/usr/local/src
+
+if [ -n "$prefix" ]; then
+ config="$config --prefix=$prefix"
+fi
+if [ -n "$target" ]; then
+ config="$target $config"
+fi
+
+openssl_install_from_sources "$version" "$tag" "$sha256" "$config" "$make" "$sourcedir" "$destdir"
+openssl_install_alias_libs "$version" "$sourcedir" "$destdir"
+
+if $dev; then
+ openssl_install_dev "$version" "$sourcedir" "$destdir"
+fi
diff --git a/secretpart.go b/secretpart.go
new file mode 100644
index 0000000..0bf446e
--- /dev/null
+++ b/secretpart.go
@@ -0,0 +1,54 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package pedersen
+
+import (
+ "encoding/json"
+
+ "github.com/matteoarella/pedersen/big"
+)
+
+// SecretPart represents a secret part associated to a shareholder.
+type SecretPart struct {
+ SShare *big.Int
+ TShare *big.Int
+}
+
+// Shares represents the shares obtained from splitting a secret.
+type Shares struct {
+ // Abscissae is the abscissae vector used for computing the ordinate values of
+ // the secret parts.
+ // There is one abscissa for each shareholder, so if shareholderIdx represents
+ // the index of one shareholder, Abscissae[shareholderIdx] is the abscissa
+ // related to that shareholder.
+ Abscissae []*big.Int
+
+ // Parts is the matrix of secret parts.
+ // If the secret that has to be split is not representable in the cyclic group,
+ // the secret is split into chunks, and each chunk is split into secret parts according
+ // to Pedersen verifiable secret sharing.
+ // The first index of Parts represents the shareholder index, while the second index
+ // represents the chunk index (Parts[shareholderIdx][chunkIdx]).
+ Parts [][]SecretPart
+
+ // Commitments is the matrix of commitments.
+ // The first index of Commitments represents the chunk index so Commitments[chunkIdx]
+ // is the vector of commitments related to the chunk with index chunkIdx.
+ Commitments [][]*big.Int
+}
+
+// Returns a string representation of a SecretPart struct.
+func (p *SecretPart) String() string {
+ data, _ := json.Marshal(p)
+ return string(data)
+}
+
+// Returns a string representation of a Shares struct.
+func (s *Shares) String() string {
+ data, _ := json.Marshal(s)
+ return string(data)
+}
diff --git a/split.go b/split.go
new file mode 100644
index 0000000..6b30754
--- /dev/null
+++ b/split.go
@@ -0,0 +1,272 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package pedersen
+
+import (
+ "errors"
+ "math"
+
+ "github.com/matteoarella/pedersen/big"
+ "golang.org/x/sync/errgroup"
+)
+
+var (
+ ErrEmptySecret = errors.New("cannot split an empty secret")
+ ErrInsufficientAbscissae = errors.New("abscissae cannot be less than parts")
+)
+
+const (
+ zerosInfoSizeBytes = 4
+)
+
+type splitValue struct {
+ index int
+ secretParts []SecretPart
+ secretComm []*big.Int
+}
+
+func leadingZeros(buff []byte) uint64 {
+ sum := uint64(0)
+
+ for _, n := range buff {
+ if n == 0 {
+ sum++
+ } else {
+ break
+ }
+ }
+
+ return sum
+}
+
+func bigIntPadding(ctx *big.IntContext, buff []byte) (*big.Int, error) {
+ ctx.Attach()
+ defer ctx.Detach()
+
+ zeros, err := ctx.GetInt()
+ if err != nil {
+ return nil, err
+ }
+ zerosCount := leadingZeros(buff)
+
+ if err := zeros.SetUInt64(zerosCount); err != nil {
+ return nil, err
+ }
+
+ n := new(big.Int).SetBytes(buff)
+
+ // append leading zeros info to n
+ if err := n.Lsh(n, zerosInfoSizeBytes*8); err != nil {
+ return nil, err
+ }
+
+ if zerosCount > 0 {
+ if err := n.Or(n, zeros); err != nil {
+ return nil, err
+ }
+ }
+
+ return n, nil
+}
+
+func splitSecret(ctx *big.IntContext, value []byte, max *big.Int) ([]*big.Int, error) {
+ valueLen := len(value)
+
+ // ensure every chunk value is smaller than max
+ partLen := int(math.Floor(float64(max.BitLen())/float64(8))) - zerosInfoSizeBytes
+ if partLen <= 0 {
+ partLen = 1
+ }
+
+ partCount := valueLen / partLen
+ if partCount*partLen < valueLen {
+ partCount++
+ }
+
+ splitted := make([]*big.Int, partCount)
+ var err error
+
+ for i := 0; i < partCount; i++ {
+ end := (i + 1) * partLen
+ if end > valueLen {
+ end = valueLen
+ }
+
+ valuePart := value[i*partLen : end]
+ splitted[i], err = bigIntPadding(ctx, valuePart)
+ if err != nil {
+ return nil, err
+ }
+ }
+
+ return splitted, nil
+}
+
+type chunkRange struct {
+ start, end int
+}
+
+func (p *Pedersen) split(
+ mont *big.MontgomeryContext,
+ ctx *big.IntContext,
+ index int,
+ secret *big.Int,
+ abscissae []*big.Int,
+) (splitValue, error) {
+ ctx.Attach()
+ defer ctx.Detach()
+
+ F, err := newPolynomial(secret, p.threshold-1, p.group.Q)
+ if err != nil {
+ return splitValue{}, err
+ }
+
+ K, err := newPolynomial(nil, p.threshold-1, p.group.Q)
+ if err != nil {
+ return splitValue{}, err
+ }
+
+ secretParts := make([]SecretPart, p.parts)
+ for i := 0; i < p.parts; i++ {
+ s, err := F.evaluate(ctx, abscissae[i])
+ if err != nil {
+ return splitValue{}, err
+ }
+
+ t, err := K.evaluate(ctx, abscissae[i])
+ if err != nil {
+ return splitValue{}, err
+ }
+
+ secretParts[i] = SecretPart{
+ SShare: s,
+ TShare: t,
+ }
+ }
+
+ commitments := make([]*big.Int, p.threshold)
+
+ for i := 0; i < p.threshold; i++ {
+ commitment, err := p.commit(mont, ctx, F.coefficients[i], K.coefficients[i])
+ if err != nil {
+ return splitValue{}, err
+ }
+
+ commitments[i] = commitment
+ }
+
+ return splitValue{
+ index: index,
+ secretParts: secretParts,
+ secretComm: commitments,
+ }, nil
+}
+
+// Split takes a secret and generates a `parts`
+// number of shares, `threshold` of which are required to reconstruct
+// the secret.
+// If the secret that has to be split is not representable in the cyclic group,
+// the secret is split into chunks, and each chunk is split into secret parts according
+// to Pedersen verifiable secret sharing.
+// The abscissae are used to evaluate the polynomials at the given points.
+// If abscissae is nil, random abscissae are generated.
+func (p *Pedersen) Split(secret []byte, abscissae []*big.Int) (*Shares, error) {
+ if len(secret) == 0 {
+ return nil, ErrEmptySecret
+ }
+
+ if abscissae == nil {
+ abscissae = make([]*big.Int, p.parts)
+
+ err := randInts(abscissae, big.One(), p.group.Q, true)
+ if err != nil {
+ return nil, err
+ }
+ } else if len(abscissae) < p.parts {
+ return nil, ErrInsufficientAbscissae
+ }
+
+ ctx, err := big.NewIntContext()
+ if err != nil {
+ return nil, err
+ }
+ defer ctx.Destroy()
+
+ // split secret into many byte slices and process them
+ splitted, err := splitSecret(ctx, secret, p.group.Q)
+ if err != nil {
+ return nil, err
+ }
+
+ splittedLen := len(splitted)
+ concLimit := p.adjustConcLimit(splittedLen)
+ chunksIndex := p.balanceIndices(splittedLen, concLimit)
+ parts := make([][]SecretPart, p.parts)
+ commitments := make([][]*big.Int, splittedLen)
+
+ for shareIdx := 0; shareIdx < p.parts; shareIdx++ {
+ parts[shareIdx] = make([]SecretPart, splittedLen)
+ }
+
+ group := errgroup.Group{}
+ group.SetLimit(concLimit)
+
+ for _, chunk := range chunksIndex {
+ secrets := splitted[chunk.start:chunk.end]
+ chunk := chunk
+
+ group.Go(func() error {
+ /* create new IntContext for each goroutine since it's not safe to
+ use the same context concurrently */
+ ctx, err := big.NewIntContext()
+ if err != nil {
+ return err
+ }
+ defer ctx.Destroy()
+
+ mont, err := big.NewMontgomeryContext()
+ if err != nil {
+ return err
+ }
+ defer mont.Destroy()
+
+ if err := mont.Set(p.group.P, ctx); err != nil {
+ return err
+ }
+
+ for idx, secret := range secrets {
+ if secret.Cmp(p.group.Q) > 0 {
+ return ErrInvalidPrimeSize
+ }
+
+ result, err := p.split(mont, ctx, chunk.start+idx, secret, abscissae)
+ if err != nil {
+ return err
+ }
+
+ for shareIdx := 0; shareIdx < p.parts; shareIdx++ {
+ parts[shareIdx][result.index] = result.secretParts[shareIdx]
+ }
+
+ commitments[result.index] = result.secretComm
+ }
+
+ return nil
+ })
+ }
+
+ err = group.Wait()
+ if err != nil {
+ return nil, err
+ }
+
+ return &Shares{
+ Abscissae: abscissae,
+ Parts: parts,
+ Commitments: commitments,
+ }, nil
+}
diff --git a/split_test.go b/split_test.go
new file mode 100644
index 0000000..9fb59ab
--- /dev/null
+++ b/split_test.go
@@ -0,0 +1,206 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package pedersen_test
+
+import (
+ "crypto/rand"
+ "testing"
+
+ "github.com/matteoarella/pedersen"
+ "github.com/matteoarella/pedersen/big"
+
+ "github.com/stretchr/testify/require"
+)
+
+type pedersenSplitTestCases struct {
+ pedersenTestCases
+ secret []byte
+ abscissae []int
+}
+
+func convertIntAbscissae(abscissae []int) ([]*big.Int, error) {
+ if abscissae == nil {
+ return nil, nil
+ }
+
+ result := make([]*big.Int, len(abscissae))
+
+ for idx, ab := range abscissae {
+ abscissa, err := big.NewInt()
+ if err != nil {
+ return nil, err
+ }
+
+ if err := abscissa.SetUInt64(uint64(ab)); err != nil {
+ return nil, err
+ }
+
+ result[idx] = abscissa
+ }
+
+ return result, nil
+}
+
+func TestPedersenSplitInvalid(t *testing.T) {
+ group := getTestSchnorrGroup(t)
+
+ testCases := []pedersenSplitTestCases{
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "nil secret",
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ secret: nil,
+ },
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "wrong abscissae size",
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ secret: []byte("test"),
+ abscissae: []int{1, 2, 3, 4},
+ },
+ }
+
+ for _, scenario := range testCases {
+ t.Run(scenario.description, func(t *testing.T) {
+ p, err := pedersen.NewPedersen(scenario.parameters.parts, scenario.parameters.threshold, scenario.options...)
+ require.NoError(t, err)
+ require.NotNil(t, p)
+
+ abscissae, err := convertIntAbscissae(scenario.abscissae)
+ require.NoError(t, err)
+
+ _, err = p.Split(scenario.secret, abscissae)
+ require.Error(t, err)
+ })
+ }
+}
+
+func TestPedersenSplitValid(t *testing.T) {
+ group := getTestSchnorrGroup(t)
+
+ randomSecret := make([]byte, 128)
+ _, err := rand.Read(randomSecret)
+ require.NoError(t, err)
+
+ testCases := []pedersenSplitTestCases{
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "valid small secret split",
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ secret: []byte("test"),
+ },
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "valid big secret split",
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ secret: randomSecret,
+ },
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "valid secret split parameters with abscissae",
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ secret: []byte("test"),
+ abscissae: []int{1, 2, 3, 4, 5},
+ },
+ }
+
+ for _, scenario := range testCases {
+ t.Run(scenario.description, func(t *testing.T) {
+ p, err := pedersen.NewPedersen(scenario.parameters.parts, scenario.parameters.threshold, scenario.options...)
+ require.NoError(t, err)
+ require.NotNil(t, p)
+
+ abscissae, err := convertIntAbscissae(scenario.abscissae)
+ require.NoError(t, err)
+
+ shares, err := p.Split(scenario.secret, abscissae)
+ require.NoError(t, err)
+ require.NotNil(t, shares)
+ })
+ }
+}
+
+func benchmarkSplitCase(b *testing.B, groupSize, parts, threshold int) {
+ b.Helper()
+
+ group, err := pedersen.NewSchnorrGroup(groupSize)
+ require.NoError(b, err)
+
+ randomSecret := make([]byte, 256)
+ _, err = rand.Read(randomSecret)
+ require.NoError(b, err)
+
+ p, err := pedersen.NewPedersen(parts, threshold, pedersen.CyclicGroup(group))
+ require.NoError(b, err)
+ require.NotNil(b, p)
+
+ b.ResetTimer()
+
+ for i := 0; i < b.N; i++ {
+ _, err = p.Split(randomSecret, nil)
+ require.NoError(b, err)
+ }
+}
+
+func BenchmarkPedersenSplit_1024_5_3(b *testing.B) {
+ benchmarkSplitCase(b, 1024, 5, 3)
+}
+
+func BenchmarkPedersenSplit_1024_7_4(b *testing.B) {
+ benchmarkSplitCase(b, 1024, 7, 4)
+}
+
+func BenchmarkPedersenSplit_1024_10_5(b *testing.B) {
+ benchmarkSplitCase(b, 1024, 10, 5)
+}
+
+func BenchmarkPedersenSplit_2048_5_3(b *testing.B) {
+ benchmarkSplitCase(b, 2048, 5, 3)
+}
+
+func BenchmarkPedersenSplit_2048_7_4(b *testing.B) {
+ benchmarkSplitCase(b, 2048, 7, 4)
+}
+
+func BenchmarkPedersenSplit_2048_10_5(b *testing.B) {
+ benchmarkSplitCase(b, 2048, 10, 5)
+}
diff --git a/verify.go b/verify.go
new file mode 100644
index 0000000..e13932a
--- /dev/null
+++ b/verify.go
@@ -0,0 +1,263 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package pedersen
+
+import (
+ "errors"
+
+ "github.com/matteoarella/pedersen/big"
+ "golang.org/x/sync/errgroup"
+)
+
+var (
+ ErrNilAbscissa = errors.New("abscissa cannot be nil")
+ ErrNilShares = errors.New("shares cannot be nil")
+ ErrNilShare = errors.New("s_share or t_share cannot be nil")
+ ErrNilCommitment = errors.New("commitment cannot be nil")
+ ErrInsufficientSharesParts = errors.New("insufficient shares parts")
+ ErrInsufficientCommitments = errors.New("commitments length cannot be different from threshold")
+ ErrWrongSharesLen = errors.New("shares parts length and commitments parts length must be equal")
+ ErrWrongSecretPart = errors.New("wrong secret part")
+)
+
+// validateShares validates if the provided shares have a correct shape.
+func (p *Pedersen) validateShares(s *Shares) error {
+ if s == nil {
+ return ErrNilShares
+ }
+
+ if len(s.Abscissae) != p.parts {
+ return ErrInsufficientAbscissae
+ }
+
+ if len(s.Parts) != p.parts {
+ return ErrInsufficientSharesParts
+ }
+
+ for i := 0; i < p.parts; i++ {
+ if s.Abscissae[i] == nil {
+ return ErrNilAbscissa
+ }
+ }
+
+ partsCount := len(s.Parts[0])
+
+ if len(s.Commitments) != partsCount {
+ return ErrWrongSharesLen
+ }
+
+ for partIdx := 0; partIdx < partsCount; partIdx++ {
+ if len(s.Commitments[partIdx]) != p.threshold {
+ return ErrInsufficientCommitments
+ }
+
+ parts := 0
+
+ for i := 0; i < p.parts; i++ {
+ if len(s.Parts[i]) != partsCount {
+ return ErrWrongSharesLen
+ }
+
+ if (SecretPart{}) == s.Parts[i][partIdx] {
+ continue
+ }
+
+ if s.Parts[i][partIdx].SShare == nil || s.Parts[i][partIdx].TShare == nil {
+ return ErrNilShare
+ }
+
+ parts++
+ }
+
+ if parts < p.threshold {
+ return ErrInsufficientSharesParts
+ }
+
+ for i := 0; i < p.threshold; i++ {
+ if s.Commitments[partIdx][i] == nil {
+ return ErrNilCommitment
+ }
+ }
+ }
+
+ return nil
+}
+
+func (p *Pedersen) vandermondeAbscissa(ctx *big.IntContext,
+ abscissa *big.Int,
+) ([]*big.Int, error) {
+ abscissae := make([]*big.Int, p.threshold)
+
+ abscissae[0] = big.One()
+
+ for i := 1; i < p.threshold; i++ {
+ a, err := ctx.GetInt()
+ if err != nil {
+ return nil, err
+ }
+
+ if err := a.ModMul(ctx, abscissae[i-1], abscissa, p.group.Q); err != nil {
+ return nil, err
+ }
+
+ abscissae[i] = a
+ }
+
+ return abscissae, nil
+}
+
+func (p *Pedersen) verifyWithContext(mont *big.MontgomeryContext,
+ ctx *big.IntContext,
+ vandermondeAbscissa []*big.Int,
+ part SecretPart,
+ commitments []*big.Int,
+) error {
+ if part.SShare == nil || part.TShare == nil {
+ return ErrNilShare
+ }
+
+ if len(commitments) != p.threshold {
+ return ErrInsufficientCommitments
+ }
+
+ ctx.Attach()
+ defer ctx.Detach()
+
+ rhs, err := ctx.GetInt()
+ if err != nil {
+ return err
+ }
+
+ if err := rhs.Set(commitments[0]); err != nil {
+ return err
+ }
+
+ // rhs = c_0 * c_1^x * ... * c_j^{x^j}
+ for j := 1; j < p.threshold; j++ {
+ term, err := ctx.GetInt()
+ if err != nil {
+ return err
+ }
+
+ if err := term.ModExpMont(mont, ctx, commitments[j], vandermondeAbscissa[j], p.group.P); err != nil {
+ return err
+ }
+
+ if err := rhs.ModMul(ctx, rhs, term, p.group.P); err != nil {
+ return err
+ }
+ }
+
+ lhs, err := p.commit(mont, ctx, part.SShare, part.TShare)
+ if err != nil {
+ return err
+ }
+
+ equals, err := lhs.ConstantTimeEq(rhs)
+ if err != nil {
+ return err
+ }
+
+ if !equals {
+ return ErrWrongSecretPart
+ }
+
+ return nil
+}
+
+// Verify verifies if the provided secret part is valid, according to the provided abscissa value and
+// commitments vector.
+func (p *Pedersen) Verify(abscissa *big.Int, part SecretPart, commitments []*big.Int) error {
+ if abscissa == nil {
+ return ErrNilAbscissa
+ }
+
+ ctx, err := big.NewIntContext()
+ if err != nil {
+ return err
+ }
+ defer ctx.Destroy()
+
+ mont, err := big.NewMontgomeryContext()
+ if err != nil {
+ return err
+ }
+ defer mont.Destroy()
+
+ if err := mont.Set(p.group.P, ctx); err != nil {
+ return err
+ }
+
+ vandermondeAbscissa, err := p.vandermondeAbscissa(ctx, abscissa)
+ if err != nil {
+ return err
+ }
+
+ return p.verifyWithContext(mont, ctx, vandermondeAbscissa, part, commitments)
+}
+
+// VerifyShares verifies if every secret part is valid.
+func (p *Pedersen) VerifyShares(s *Shares) error {
+ err := p.validateShares(s)
+ if err != nil {
+ return err
+ }
+
+ partsCount := len(s.Parts[0])
+ concLimit := p.adjustConcLimit(partsCount)
+ chunksIndex := p.balanceIndices(p.parts, concLimit)
+ group := errgroup.Group{}
+ group.SetLimit(concLimit)
+
+ for _, chunk := range chunksIndex {
+ chunk := chunk
+
+ group.Go(func() error {
+ ctx, err := big.NewIntContext()
+ if err != nil {
+ return err
+ }
+ defer ctx.Destroy()
+
+ mont, err := big.NewMontgomeryContext()
+ if err != nil {
+ return err
+ }
+ defer mont.Destroy()
+
+ if err := mont.Set(p.group.P, ctx); err != nil {
+ return err
+ }
+
+ for idx := chunk.start; idx < chunk.end; idx++ {
+ // compute Vandermonde abscissa
+ vandermondeAbscissa, err := p.vandermondeAbscissa(ctx, s.Abscissae[idx])
+ if err != nil {
+ return err
+ }
+
+ for partIndex := 0; partIndex < partsCount; partIndex++ {
+ if (SecretPart{}) == s.Parts[idx][partIndex] {
+ continue
+ }
+
+ err := p.verifyWithContext(
+ mont,
+ ctx,
+ vandermondeAbscissa, s.Parts[idx][partIndex], s.Commitments[partIndex])
+ if err != nil {
+ return err
+ }
+ }
+ }
+
+ return nil
+ })
+ }
+
+ return group.Wait()
+}
diff --git a/verify_test.go b/verify_test.go
new file mode 100644
index 0000000..e29bdf4
--- /dev/null
+++ b/verify_test.go
@@ -0,0 +1,250 @@
+// Copyright (c) Pedersen authors.
+//
+// Use of this source code is governed by an MIT-style
+// license that can be found in the LICENSE file or at
+// https://opensource.org/licenses/MIT.
+
+package pedersen_test
+
+import (
+ "crypto/rand"
+ "testing"
+
+ "github.com/matteoarella/pedersen/big"
+
+ "github.com/matteoarella/pedersen"
+
+ "github.com/stretchr/testify/assert"
+ "github.com/stretchr/testify/require"
+)
+
+type pedersenVerifyTestCases struct {
+ pedersenTestCases
+ shares *pedersen.Shares
+ error error
+}
+
+func TestPedersenVerifyInvalid(t *testing.T) {
+ group := getTestSchnorrGroup(t)
+
+ testCases := []pedersenVerifyTestCases{
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "nil abscissa",
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ shares: &pedersen.Shares{
+ Abscissae: []*big.Int{big.One(), nil, nil, big.One(), nil},
+ Parts: [][]pedersen.SecretPart{
+ {{SShare: big.One(), TShare: big.One()}},
+ {{SShare: big.One(), TShare: big.One()}},
+ {{SShare: big.One(), TShare: big.One()}},
+ {{SShare: big.One(), TShare: big.One()}},
+ {{SShare: big.One(), TShare: big.One()}},
+ },
+ Commitments: [][]*big.Int{
+ {big.One(), big.One(), big.One()},
+ },
+ },
+ error: pedersen.ErrNilAbscissa,
+ },
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "empty secret part",
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ shares: &pedersen.Shares{
+ Abscissae: []*big.Int{
+ big.One(),
+ big.One(),
+ big.One(),
+ big.One(),
+ big.One(),
+ },
+ Parts: [][]pedersen.SecretPart{{{}}, {{}}, {{}}, {{}}, {{}}},
+ Commitments: [][]*big.Int{
+ {big.One(), big.One(), big.One()},
+ },
+ },
+ error: pedersen.ErrInsufficientSharesParts,
+ },
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "wrong secret commitments len",
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ shares: &pedersen.Shares{
+ Abscissae: []*big.Int{
+ big.One(),
+ big.One(),
+ big.One(),
+ big.One(),
+ big.One(),
+ },
+ Parts: [][]pedersen.SecretPart{
+ {{SShare: big.One(), TShare: big.One()}},
+ {{SShare: big.One(), TShare: big.One()}},
+ {{SShare: big.One(), TShare: big.One()}},
+ {{SShare: big.One(), TShare: big.One()}},
+ {{SShare: big.One(), TShare: big.One()}},
+ },
+ Commitments: [][]*big.Int{
+ {
+ big.One(),
+ big.One(),
+ },
+ },
+ },
+ error: pedersen.ErrInsufficientCommitments,
+ },
+ }
+
+ for _, scenario := range testCases {
+ t.Run(scenario.description, func(t *testing.T) {
+ p, err := pedersen.NewPedersen(scenario.parameters.parts, scenario.parameters.threshold, scenario.options...)
+ require.NoError(t, err)
+ require.NotNil(t, p)
+
+ err = p.VerifyShares(scenario.shares)
+ assert.Error(t, err)
+ assert.EqualError(t, err, scenario.error.Error())
+ })
+ }
+}
+
+func TestPedersenVerifyValid(t *testing.T) {
+ group := getTestSchnorrGroup(t)
+
+ randomSecret := make([]byte, 128)
+ _, err := rand.Read(randomSecret)
+ require.NoError(t, err)
+
+ testCases := []pedersenSplitTestCases{
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "valid small secret split",
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ secret: []byte("s"),
+ },
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "valid big secret split",
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ secret: randomSecret,
+ },
+ {
+ pedersenTestCases: pedersenTestCases{
+ description: "valid secret split parameters with abscissae",
+ parameters: pedersenParameters{
+ parts: 5,
+ threshold: 3,
+ },
+ options: []pedersen.Option{
+ pedersen.CyclicGroup(group),
+ },
+ },
+ secret: randomSecret,
+ abscissae: []int{1, 2, 3, 4, 5},
+ },
+ }
+
+ for _, scenario := range testCases {
+ t.Run(scenario.description, func(t *testing.T) {
+ p, err := pedersen.NewPedersen(scenario.parameters.parts, scenario.parameters.threshold, scenario.options...)
+ require.NoError(t, err)
+ require.NotNil(t, p)
+
+ abscissae, err := convertIntAbscissae(scenario.abscissae)
+ require.NoError(t, err)
+
+ shares, err := p.Split(scenario.secret, abscissae)
+ require.NoError(t, err)
+ require.NotNil(t, shares)
+
+ err = p.VerifyShares(shares)
+ require.NoError(t, err)
+ })
+ }
+}
+
+func benchmarkVerifyCase(b *testing.B, groupSize, parts, threshold int) {
+ b.Helper()
+
+ group, err := pedersen.NewSchnorrGroup(groupSize)
+ require.NoError(b, err)
+
+ randomSecret := make([]byte, 256)
+ _, err = rand.Read(randomSecret)
+ require.NoError(b, err)
+
+ p, err := pedersen.NewPedersen(parts, threshold, pedersen.CyclicGroup(group))
+ require.NoError(b, err)
+ require.NotNil(b, p)
+
+ shares, err := p.Split(randomSecret, nil)
+ require.NoError(b, err)
+ require.NotNil(b, shares)
+
+ b.ResetTimer()
+
+ for i := 0; i < b.N; i++ {
+ err = p.VerifyShares(shares)
+ require.NoError(b, err)
+ }
+}
+
+func BenchmarkPedersenVerify_1024_5_3(b *testing.B) {
+ benchmarkVerifyCase(b, 1024, 5, 3)
+}
+
+func BenchmarkPedersenVerify_1024_7_4(b *testing.B) {
+ benchmarkVerifyCase(b, 1024, 7, 4)
+}
+
+func BenchmarkPedersenVerify_1024_10_5(b *testing.B) {
+ benchmarkVerifyCase(b, 1024, 10, 5)
+}
+
+func BenchmarkPedersenVerify_2048_5_3(b *testing.B) {
+ benchmarkVerifyCase(b, 2048, 5, 3)
+}
+
+func BenchmarkPedersenVerify_2048_7_4(b *testing.B) {
+ benchmarkVerifyCase(b, 2048, 7, 4)
+}
+
+func BenchmarkPedersenVerify_2048_10_5(b *testing.B) {
+ benchmarkVerifyCase(b, 2048, 10, 5)
+}