The verb 'think' complement??

Question

I have known that the verb think can take to-infinitve except PRO to-infinitive.
I think to do this.--- incorrect(??)
He thinks himself to be lucky --- correct(??)
am I get it right?

Besides that, I found this sentence in on-line dictionary,
Who would have thought to find you here?
Assuming that the counterpart of this sentence is Somebody would have thought to find you here,
how come this sentence get its grammaticality? or the dictionary got wrong example sentence?
so much complicated;;;;

AlpheccaStars · Accepted Answer

None of the examples seem natural to me. Most of the time, think is followed by a clause.
He thinks (that) she is beautiful.
He thinks he is lucky.
He thinks of himself as being lucky.

This is different and somewhat idiomatic - The verb think has the sense of the verbal "think of" + gerund. The object is a dynamic verb:

Nobody would think to look for him in the library. He always hangs out in the game room.
= Nobody would think of looking for him in the library.

This is closest to the dictionary sentence, but in practice, the gerund would be used.
Who would have thought of finding you here?

The verb 'think' complement??

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