sudomod

I have an attiny85 I am wondering if it can do
random(,)
if(){
}
or other Arduino logic commands
using the Arduino as the programmer

Yes you can. There are working bootloaders for attinyXX. I used https://github.com/damellis/attiny in the past.

can it do the map function

Is that a question? You can always write a map function.

as long as there's enough memory space then you can use any arduino library you need. it's just C++. map doesn't use any special CPU instructions that the tiny is unlikely to have (it's just a fancy list) so flash memory is going to be your biggest problem with the tiny range. but they are still very capable chips

thank you all