feat: add clang-tidy integration

[XuehaiPan]

Description

Describe your changes in detail.

Motivation and Context

Why is this change required? What problem does it solve?
If it fixes an open issue, please link to the issue here.
You can use the syntax close #15213 if this solves the issue #15213

• I have raised an issue to propose this change (required for new features and bug fixes)

Resolves #18
Closes #19

Types of changes

What types of changes does your code introduce? Put an x in all the boxes that apply:

• New feature (non-breaking change which adds core functionality)

Implemented Tasks

• Add new targets to Makefile
• Update the C++ source code accordingly.
• Add new step in lint GitHub Actions.

Checklist

Go over all the following points, and put an x in all the boxes that apply.
If you are unsure about any of these, don't hesitate to ask. We are here to help!

• I have read the CONTRIBUTION guide. (required)
• My change requires a change to the documentation.
• I have updated the tests accordingly. (required for a bug fix or a new feature)
• I have updated the documentation accordingly.
• I have reformatted the code using make format. (required)
• I have checked the code using make lint. (required)
• I have ensured make test pass. (required)

[codecov-commenter]

Codecov Report

Base: 94.04% // Head: 94.04% // No change to project coverage 👍

Coverage data is based on head (9631589) compared to base (bd7a05a).
Patch has no changes to coverable lines.

Additional details and impacted files

@@           Coverage Diff           @@
##             main      #20   +/-   ##
=======================================
  Coverage   94.04%   94.04%           
=======================================
  Files           4        4           
  Lines         319      319           
=======================================
  Hits          300      300           
  Misses         19       19           

Flag	Coverage Δ
unittests	94.04% <ø> (ø)

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[XuehaiPan]

Hi @Skylion007, I add a new target in Makefile and update the source code accordingly. Could you have a look at this? Many thanks.