1.来 : as the simple complement of direction to the predicate verb.
for example: 上来,下来,进来,出来,回来,过来,起来(just like your example),
and others :
买(buy)来,借(borrow)来,拿(take)来,带(bring)来,寄(post)来,搬(move)来 and so on.
these verbs followed by 来 indicate the motion precedes towards the speaker and often imply the completion of an action.
ex.他带来一个朋友。(He brings a friend to me) 他借来一本书。(He borrowed a book .)
2.来 with seven verbs can be used as the compound complement of direction .There are 上来,下来,进来,出来,回来,过来,起来。These compound complement of direction after a verb predicate indicates a dual direction.
ex.他走进来了.(the motion proceeds from outside to inside and towards the speaker who isinside. )
3.the extended meanings of the 来compound complement of direction:
①起来used after the verb prediate:
Ⅰ.Indicating the start and continuation of an action,or the forming and developing of a certain shape.
ex.天热起来了(It is getting warm)
ex.听了他的话,我们都笑起来了(With his words,we get laughing)
Ⅱ. Expressing the idea that dispersed people or things come together
ex.我们应该团结起来(We should draw together)
ex.把衣服收起来(Put the clothes together,please)
Ⅲ. Expressing the meaning“(when something is done ,you will find….) “
ex.这个工具用起来很方便(means “when you used this tool, you will find it suitable and convenient)
ex.它听起来不错 It sounds good.(means “when you listen to it,you will find it is good” )
There are others:闻(smell)起来, 看(look)起来,吃(eat)起来 and so on
②出来used after the verb prediate:
Ⅰ. Expressing something coming into being as a result of an action.
ex.他把意见都说出来了.(He has come out with his idea.)
ex.我把那张画画出来了(I have finished the painting)
Ⅱ. Expressingthe identification of a person or thing or something concealed being exposed through the action.
ex.我认出来了,他是麦克(I have recognized him,he is Mike.)
ex.我把这个错误检查出来了(I have checked out this mistake)
③下来 used after the ver predicate or the adj.:
Ⅰ.expressing the gradual change
ex.天黑下来了(It is getting dark.)
ex.车停下来了(the car is getting stop )
Ⅱ.indicating sth. being fixed to or remaining at a certain place so that it willnot disappear,leave or be forgotten
ex.我把它画下来了(I have drawn it on the paper)
ex.他把名字写下来(He wrote down the name.)
Ⅲ.it can also indicate the gradual change from the past to the present,from the start to the end.
ex.这个故事流传下来了(The story has come down.)
ex.汉语很难,但是他们都坚持下来了(Chinese is very difficult, but they all stick it out)
④上来 used after the verb predicate indicates having the abilities to do sth.and finish it.
ex.这个问题我回答上来了。(means I can answer the question and I answered it.)