Add Litestar example to documentation

[myslak71]

Describes the process of integrating pyinstrument into Litestar middleware

[joerick]

Thanks!

[joerick]

It seems maybe a bit wasteful to render the session twice. Does this work?

Suggested change

	profiler.start()
	async def send_wrapper(message: Message) -> None:
	if message["type"] == "http.response.body":
	message["body"] = profiler.output_html().encode()
	elif message["type"] == "http.response.start":
	profiler.stop()
	message["headers"] = [
	(b"content-type", b"text/html; charset=utf-8"),
	(b"content-length", str(len(profiler.output_html())).encode()),
	]
	await send(message)
	await self.app(scope, receive, send_wrapper)
	profiler.start()
	profile_html: str | None = None
	async def send_wrapper(message: Message) -> None:
	if message["type"] == "http.response.start":
	profiler.stop()
	nonlocal profile_html
	profile_html = profiler.output_html()
	message["headers"] = [
	(b"content-type", b"text/html; charset=utf-8"),
	(b"content-length", str(len(profile_html)).encode()),
	]
	elif message["type"] == "http.response.body":
	message["body"] = profile_html.encode()
	await send(message)
	await self.app(scope, receive, send_wrapper)

Also I flipped the order around in the if statement to match the order it (presumably) executes in.

[myslak71]

of course!

[myslak71]

@joerick fixed but seems that sphinx need version bump or smth