Do I have non purging bulimia?

Hi. It's the first time I try talking about this. It's been more than 2 years I feel really guilty over what I eat and all the calories I consume. I have more than two binge eating episodes daily, and after it I exercise until I feel I'm going to faint. I don't workout a normal ammount of time, I usually do it 2-5 hours daily (it depends on how much energy I have). I feel like I'm losing control, I keep counting how much I eat and if for any reason I cannot exercise then I decide fasting as much as I can. I don't know what to do. Would you think this is non purging bulimia? I have no idea what's going on, I feel so confused and depressed. I am already underweight but I want to lose more and more weight. I everyday day feel more tired and weak, I cannot even stand for more than five minutes, I am so dizzy and with strong headaches, working out just makes it worse. But I feel I cannot stop. No one around me knows about it. I workout and eat when no one is around because I feel ashamed of myself.