Inner product Implementation in #numeric.rs #78

	name: Validate PR

	on:
	pull_request:
	types: [opened, synchronize, edited, ready_for_review]
	branches:
	- "*"

	jobs:
	lint-and-test:
	name: Lint, Format Check, and Test
	runs-on: ubuntu-latest

	steps:
	# Step 1: Check out the repository
	- name: Checkout Code
	uses: actions/checkout@v3

	# Step 2: Set up Rust environment
	- name: Set up Rust
	uses: actions-rs/toolchain@v1
	with:
	toolchain: stable # Use stable Rust. Adjust to 'nightly' if needed.
	override: true

	# Step 3: Cache Cargo dependencies for faster builds
	- name: Cache Cargo Registry
	uses: actions/cache@v3
	with:
	path: ~/.cargo/registry
	key: ${{ runner.os }}-cargo-registry-${{ hashFiles('**/Cargo.lock') }}
	restore-keys: \|
	${{ runner.os }}-cargo-registry-

	- name: Cache Cargo Index
	uses: actions/cache@v3
	with:
	path: ~/.cargo/index
	key: ${{ runner.os }}-cargo-index
	restore-keys: \|
	${{ runner.os }}-cargo-index

	# Step 4: Run formatting check
	- name: Run cargo fmt
	run: cargo fmt --all -- --check

	# Step 5: Run Clippy linting
	- name: Run cargo clippy
	run: cargo clippy --all-targets --all-features -- -D warnings

	# Step 6: Run tests
	- name: Run cargo test
	run: cargo test --all --verbose

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