Added clang-format and clang-tidy

[adriengivry]

Description

Better formatting & linting with clang-format and clang-tidy.

To-Do List

• Update coding conventions (right now clang-format gives uppercase includes precedence)
• Run clang-format and tidy on the whole codebase

Related Issue(s)

Fixes #(issue number)

Review Guidance

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Screenshots/GIFs

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Checklist

• My code follows the project's code style guidelines
• I have commented my code, particularly in hard-to-understand areas
• I have updated the documentation accordingly
• My changes don't generate new warnings or errors