As far as I can recall Tokamak has been dead for a while. It never truly worked so well in my opinion.
Newton has extreme issues with determinism. Or at least it had issues last time I checked their provided demos. And if they cannot be deterministic... well, you get the idea.
Newton is still fairly good, it has a lot of features which seems to be beginner-oriented. I like it but still without determinism... no way.

So the real battle is Bullet, PhysX, Havok.

I cannot say much about Havok. It seems you're supposed to pay for it.

PhysX appears to be better performing in general (on NV cards), it has more features (such as SPH and built-in destruction). The license is a bit odd.

Bullet is opensource and license is very clear (zlib). It's a bit rough here and there and although the API often does not support this or that, extra code is provided to help users in working around the limitation. For example, Bullet does not have destruction built in but it comes with extra code to support it. The code is not ready to go IMHO but a very good starting point. In general I think the maintainer is doing an excellent job at growing the library in a "clear" way. I'm not up to date with the new GPU-assisted OpenCL solver but it sounds very promising.

I have no idea what is a "really environment" I suppose you mean "really big"? If so, define "big". In general, define your needs clearly.

if the engine can use soo in a program how Autodesk 3DS Max, Visual C++ Express

Sort of.
You can do physics in source code, but it's not a good way to do things, it will get really complex really soon, with arrays of data having hundreds, if not thousands of entries each.
Physics must be set up in a DCC tool (Max, Blender). There are filters ready to go but they might be a bit rough. My experience is limited to Blender+Bullet. I don't know much else. Blender+Bullet is "officially" supported but you're going to need quite some glue anyway. But I'm currently not very inclined to discuss that, unless you have very specific questions.

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i want the ATI cards work also

There's no such thing as ATi anymore. It's AMD now. And it's way better. I feel a shiver down my spine every time I read about ATi.

I just need to point out that PhysX works perfectly with AMD cards... so ditching it is not really a smart move.

PhysX is hardware accelerated on NVidia cards (GTX 400 series and above only I think) but not AMD cards, otherwise its a fully functioning high quality physics library that you should seriously consider (assuming the license is compatible with your project, dependant on what the project is you may have to pay or you may be able to use it for free). It has been used in many commercial games: Mirrors edge, arma 3 (when released), mafia 2, metro 2033, ghost recon, borderlands 2, batman arkham asylum (and city) and quite a few more.

Havok is a commonly used engine in the games industry although its not free to use unfortuneately. There are too many games to list that use it (326 here: http://www.giantbomb...s/92-502/games/). EDIT: It is apparently free for some projects although I can't find anything on the havok site with any sort of guidelines or even priceplans.

Newton is apparently a bit more limited, true if you want to roll a ball down a hill then its overkill but I wouldn't make a serious game with it. Infact the only game I've actually heard of on their list of games using it is ship simulator which is something that has a billion copies sitting on the bargain rack of my nearest PC game store.

Bullet is a pretty good engine. Although by default it runs on the CPU like most engines they do now provide libraries allowing it to use CUDA (Same thing that PhysX uses for hardware acceleration) aswell as OpenCL (which can optionally be hardware accelerated on most GPU's). It has been used in GTA4 and red dead redemption aswell as a few open source projects and movies.

With the exception of Havok they all have publically available bindings to be used in several languages so whatever language you program in one of the above should be available to you.

Personally I would look into either Bullet or PhysX

I really don't understand why people enjoy spreading false informations on the internet.

PhysX and Havok are both free.