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Tests: detect lines removed from "utils/not_doctested.txt" and doctest ALL generation files (#25763)

* add exception

* update docs

* Rename index.mdx to index.md

* With saved modifs

* Address review comment

* Treat all files

* .mdx -> .md

* Remove special char

* Update utils/tests_fetcher.py
Co-authored-by: Lysandre Debut <lysandre.debut@reseau.eseo.fr>

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Co-authored-by: Lysandre Debut <lysandre.debut@reseau.eseo.fr>

* temperature controls speed

* working mvp

* remove breakpoint

* fix commit

* standardize outputs

* tmp commit

* tests almost ready

* tmp commit

* skip a few models

* Add streaming; Docs and examples

* document limitations

* PR commits

* Amy PR comments

add API warning

Docs fix: Multinomial sampling decoding needs "num_beams=1", since by default it is usually not 1. (#22473)

Fix: Multinomial sampling needs "num_beams=1", since by default is 5.

* haha tokens go brrrr

Fix typo in greedy search docs

* Part of the "text generation" rework: adding a high-level overview of the text generation strategies

* code samples update via make style

* fixed a few formatting issues

* Apply suggestions from review
Co-authored-by: Sylvain Gugger <35901082+sgugger@users.noreply.github.com>

* fixed spaces, and switched two links to markdown

* Apply Steven's suggestions from review
Co-authored-by: Steven Liu <59462357+stevhliu@users.noreply.github.com>

* new lines after headers to fix link rendering

* review feedback addressed. added links to image captioning and audio transcription examples

* minor capitalization fix

* addressed the review feedback

* Apply suggestions from review
Co-authored-by: Joao Gante <joaofranciscocardosogante@gmail.com>

* Applied review suggestions
Co-authored-by: Sylvain Gugger <35901082+sgugger@users.noreply.github.com>
Co-authored-by: Steven Liu <59462357+stevhliu@users.noreply.github.com>
Co-authored-by: Joao Gante <joaofranciscocardosogante@gmail.com>