[decimal][routines] Implement sqrt() + much debugging work

.github/workflows/run_tests.yaml

@@ -48,15 +48,3 @@ jobs:
         run: |
           magic install
           magic run mojo test tests -I .
-
-      - name: Run formating checks
-        run: |
-          magic install
-          cp -r ./ /tmp/decimojo-original
-          magic run mojo format ./
-          if ! diff -r --exclude=.git --exclude=.github --exclude=venv ./ /tmp/decimojo-original > /dev/null; then
-            echo "::error::Formatting issues detected. Run 'mojo format' locally to fix."
-            exit 1
-          else
-            echo "No formatting issues detected."
-          fi

.github/workflows/test_pre_commit.yaml

@@ -0,0 +1,51 @@
+name: Run pre-commit
+on:
+  # Run pre-commit on pull requests
+  pull_request:
+  # Add a workflow_dispatch event to run pre-commit manually
+  workflow_dispatch:
+
+permissions:
+  contents: read
+  pull-requests: read
+
+jobs:
+  lint:
+    runs-on: "ubuntu-22.04"
+    timeout-minutes: 30
+
+    defaults:
+      run:
+        shell: bash
+    env:
+      DEBIAN_FRONTEND: noninteractive
+
+    steps:
+      - name: Checkout repo
+        uses: actions/checkout@v4
+
+      - name: Install magic
+        run: |
+          curl -ssL https://magic.modular.com/deb181c4-455c-4abe-a263-afcff49ccf67 | bash
+
+      - name: Add path
+        run: |
+          echo "MODULAR_HOME=$HOME/.modular" >> $GITHUB_ENV
+          echo "$HOME/.modular/bin"  >> $GITHUB_PATH
+          echo "$HOME/.modular/pkg/packages.modular.com_mojo/bin"  >> $GITHUB_PATH
+
+      - name: Activate virtualenv
+        run: |
+          python3 -m venv $HOME/venv/
+          . $HOME/venv/bin/activate
+          echo PATH=$PATH >> $GITHUB_ENV
+
+      - name: Install pre-commit
+        run: |
+          pip install pre-commit
+          pre-commit install
+
+      - name: Run pre-commit
+        run: | 
+          magic install
+          pre-commit run --all-files

.pre-commit-config.yaml

@@ -0,0 +1,9 @@
+repos:
+  - repo: local
+    hooks:
+      - id: mojo-format
+        name: mojo-format
+        entry: magic run mojo format
+        language: system
+        files: '\.(mojo|🔥|py)$'
+        stages: [pre-commit]

decimojo/__init__.mojo

@@ -10,5 +10,5 @@ DeciMojo - Correctly-rounded, fixed-point Decimal library for Mojo.
 
 from .decimal import Decimal
 from .rounding_mode import RoundingMode
-from .mathematics import round, power
+from .mathematics import power, sqrt, round, absolute
 from .logic import greater, greater_equal, less, less_equal, equal, not_equal