debug a sunrise sunset program

We use a sunrise sunset algorithm which was designed by a government agency. However, there's a bug which I need out of there right away. I have attached the entire pdf document which contains the full C code and explanantions. I have also attached a listing of sunrise sunsets for the next 50 years. Every May 9 and 10 (sometimes the 10 and 11) have the same exact sunset and lose the pattern. They then are a minute off from other algorithms until the end of June. The sunrise sunset listing is for Brooklyn NY which is longitude 74 and latitude 40.6.

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