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Your Day Of Year Native code will fail between midnight and 1am during daylight savings.
My replacement was:
Math.floor( (new Date().setHours(2) - new Date(new Date().getFullYear(), 0, 0)) / 1000 / 60 / 60 / 24 );
which forces the time for the day.
Alternatively:
Math.floor( (Date.UTC(year, month, day) - Date.UTC(year, 0, 0)) / 1000 / 60 / 60 / 24 )
The opposite code is quite simple, too:
new Date(year, 0 , dayOfYear)
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