One of the best pieces of advice I had from a teacher is that part of your practice routine should include the ability to be able to play without "warming up". He recommended starting the day with a medium volume high G for 4 - 6 beats
Imagine that you were delayed on the way to a big gig: Does the audience have to wait whilst the trumpet player prepares himself?
IMO the requirement for this type of noodling/warming up is more psychological than physical. I used the James Stamp routine to warm up all the time I lived in Australia. When I came to the US fifteen years ago I stopped that warm-up, cold turkey, and replaced it with "Reflections" a simple sequence using a 2 octave run. When I attend a rehearsal or a concert I only play a half dozen or so notes for reassurance. I am happier than ever about my playing these days.
If you really have to do all those calisthenics get a decent practice mute - like Trevor Bremner's ssHH mute. Then all your playing is for yourself, not as intimidation for the rest of the room.