slug

Get post slug and match with menu item slug to change css

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I have a custom vertical menu based on posts of a specific category. I want to match the slug of the menu item with the slug of the current post to apply css. Specifically, I want to change the background of the selected menu item. Selected menu item means, when the user clicks the menu and page loads, the background of that menu item should be changed indicating the user is at this menu item/post. What I think, if the menu item consists of posts, then the slug of the posts and slug of the menu item should be same. In the html, each li tag has the menu item ID. The code I am is like this

Can anybody provide me with a function to generate slugs?

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The functions WordPress uses to generate slugs are scattered in several functions and filters. I cannot find them all. Can anybody provide me a single php function to generate slugs? I do not need all the functionalities of WordPress, just need to encode non-latin characters and remove illegal characters that are not allowed in url.