build: add workflow to update unary function database

.github/workflows/update_math_scaffold_databases.yml

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+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2025 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# Workflow name:
+name: update_math_scaffold_databases
+
+# Workflow triggers:
+on:
+  push:
+    paths:
+      # List paths for which changes should trigger this workflow:
+      - 'lib/node_modules/@stdlib/math/special/data/unary_function_database.json'
+      - 'lib/node_modules/@stdlib/math/base/special/*/package.json'
+      - 'lib/node_modules/@stdlib/number/float64/base/*/package.json'
+      - 'lib/node_modules/@stdlib/number/float32/base/*/package.json'
+      - 'lib/node_modules/@stdlib/number/float16/base/*/package.json'
+      - 'lib/node_modules/@stdlib/complex/float64/base/*/package.json'
+      - 'lib/node_modules/@stdlib/complex/float32/base/*/package.json'
+      - 'lib/node_modules/@stdlib/complex/float16/base/*/package.json'
+
+  # Allow the workflow to be manually run:
+  workflow_dispatch:
+
+# Global permissions:
+permissions:
+  # Allow read-only access to the repository contents:
+  contents: read
+
+# Workflow jobs:
+jobs:
+
+  # Define a job for updating databases which are used for scaffolding mathematical packages...
+  update:
+
+    # Define a display name:
+    name: 'Update Scaffold Databases'
+
+    # Ensure the job does not run on forks:
+    if: github.repository == 'stdlib-js/stdlib'
+
+    # Define the type of virtual host machine:
+    runs-on: ubuntu-latest
+
+    # Define the sequence of job steps...
+    steps:
+
+      # Checkout the repository:
+      - name: 'Checkout repository'
+        # Pin action to full length commit SHA
+        uses: actions/checkout@08c6903cd8c0fde910a37f88322edcfb5dd907a8 # v5.0.0
+        with:
+          # Specify whether to remove untracked files before checking out the repository:
+          clean: true
+
+          # Limit clone depth to the most recent commit:
+          fetch-depth: 1
+
+          # Specify whether to download Git-LFS files:
+          lfs: false
+
+          # Avoid storing GitHub token in local Git configuration:
+          persist-credentials: false
+        timeout-minutes: 10
+
+      # Install Node.js:
+      - name: 'Install Node.js'
+        # Pin action to full length commit SHA
+        uses: actions/setup-node@49933ea5288caeca8642d1e84afbd3f7d6820020 # v4.4.0
+        with:
+          node-version: '20' # 'lts/*'
+        timeout-minutes: 5
+
+      # Install dependencies (accounting for possible network failures, etc, when installing node module dependencies):
+      - name: 'Install dependencies'
+        run: |
+          make install-node-modules || make install-node-modules || make install-node-modules
+        timeout-minutes: 15
+
+      # Update the unary database:
+      - name: 'Update unary database'
+        run: |
+          node lib/node_modules/@stdlib/math/special/scripts/generate_unary_database.js
+
+      # Check if there are any changes to the unary database:
+      - name: 'Check for changes'
+        id: check_changes
+        run: |
+          if [ -z "$(git diff lib/node_modules/@stdlib/math/special/data/unary.json)" ]; then
+            echo "No changes detected in unary database. Skipping PR creation."
+            echo "has_changes=false" >> $GITHUB_OUTPUT
+          else
+            echo "Changes detected in unary database."
+            echo "has_changes=true" >> $GITHUB_OUTPUT
+          fi
+
+      # Import GPG key to sign commits:
+      - name: 'Import GPG key to sign commits'
+        if: steps.check_changes.outputs.has_changes == 'true'
+        # Pin action to full length commit SHA
+        uses: crazy-max/ghaction-import-gpg@e89d40939c28e39f97cf32126055eeae86ba74ec # v6.3.0
+        with:
+          gpg_private_key: ${{ secrets.STDLIB_BOT_GPG_PRIVATE_KEY }}
+          passphrase: ${{ secrets.STDLIB_BOT_GPG_PASSPHRASE }}
+          git_user_signingkey: true
+          git_commit_gpgsign: true
+
+      # Create a pull request with the updated databases:
+      - name: 'Create pull request'
+        if: steps.check_changes.outputs.has_changes == 'true'
+        id: cpr
+        # Pin action to full length commit SHA
+        uses: peter-evans/create-pull-request@271a8d0340265f705b14b6d32b9829c1cb33d45e # v7.0.8
+        with:
+          title: 'feat: update math scaffold databases'
+          body: |
+            This PR
+
+            -   updates the databases for scaffolding mathematical databases
+
+          commit-message: 'feat: update math scaffold databases'
+          committer: 'stdlib-bot <[email protected]>'
+          signoff: true
+          token: ${{ secrets.STDLIB_BOT_PAT_REPO_WRITE }}
+          labels: |
+            automated-pr
+          team-reviewers: |
+            reviewers
+          branch: update-math-scaffold-databases
+          delete-branch: true
+
+      # Create a pull request summary:
+      - name: 'Create summary'
+        if: steps.check_changes.outputs.has_changes == 'true'
+        run: |
+          echo "# :tada: Pull Request created! :tada:" >> $GITHUB_STEP_SUMMARY
+          echo "" >> $GITHUB_STEP_SUMMARY
+          echo "Pull request ${{ steps.cpr.outputs.pull-request-number }} was successfully ${{ steps.cpr.outputs.pull-request-operation }}."
+          echo ":link: [${{ steps.cpr.outputs.pull-request-url }}](${{ steps.cpr.outputs.pull-request-url }})." >> $GITHUB_STEP_SUMMARY
+          echo "Head SHA: [${{ steps.cpr.outputs.pull-request-head-sha }}](${{ steps.cpr.outputs.pull-request-url }}/commits/${{ steps.cpr.outputs.pull-request-head-sha }})." >> $GITHUB_STEP_SUMMARY