What is this? *trigger warning*

My psychiatrist asked me if I'm suicidal. I really don't know how to tell. yeah, I want to die. I don't really have a plan in place. I have violent thoughts sometimes, and if I ever were going to hurt someone my main plan is to kill myself first. it's a rough plan that pretty much involves bashing my head repeatedly against the nearest hard surface. i also have intrusive thoughts that tell me to kill myself. What is this? am I classified as suicidal? please help me