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I am trying to find a regular expression that matches each line of an input
string but cannot find an expression that needs no additional checks. What I
have tried so far:

for line in str:gmatch("[^\n]+") do 
matches not empty lines

for line in str:gmatch("([^\n]*)\n?") do 
matches every line correctly BUT returns an empty string after the last
character, i.e. 
"123" results in
line = "123"
line = ""

I cannot get rid of the last match, so I wonder if there is an elegant
expression to match every line correctly, even empty lines and without adding
"virtual" lines.