Check incomplete line in fgets()

To detect it, I’ve seen the following if condition:

#include <stdio.h>
#include <string.h>
#include <stdlib.h>

int main(){
  char line[5];
  while(fgets(line, 5, stdin)){
    int length = strlen(line);
    if (length == 4 && line[3] != '\n') {
      puts("line too long");
      return 1;
    }
  }
  puts("correct file");
  return 0;
}

which works here:

$ cc test.c -o test
$ printf '012\n' | ./test
correct file
$ printf '012' | ./test
correct file
$ printf '0123\n' | ./test
line too long

but fails when the length is equal to the maximum and it doesn’t have a trailing newline:

$ printf '0123' | ./test
line too long

The detection was incorrect as the entire line fits in the buffer; there is no more to read from the file.

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