I despise sharing my feelings with others

Is it normal to hate sharing your feelings with others? Just to confirm, i never told anyone about my feelings and have them laugh at me or betray them, nothing has happened to warrant me feeling this way. I just sincerely despise the idea of sharing what's inside my head. For me the idea that someone could look at me and think they know how i'm feeling, i'm thinking, the thought they think they know what's inside my head even for a minute is sick and evil. I just feel like the thoughts in my head are private and special to me alone, and that other people shouldn't know them, even though they want to. My Dad wants me to tell him how i am feeling so much he yells at me each time i refuse, even though i try to tell him i don't want to, he says that if i am living in his house, i have no right to privacy and have to tell him how i feel, but I hate telling someone how i feels so much that it physically hurts me. It really hurts me inside. This violation of what i am, is so painful to me, that we are on bad relations. My mom doesn't force me to tell her how i feel, but she thinks there is something mentally wrong with me that i don't like giving myself to anyone, even her. Now i realize that Society is so demanding of who people are, that when someone tries to stay private and explain that, they think something is wrong with them. That they are depressed or suicidal. I don't think so though. Is how i feel...normal?