Calculating sunrise/sunset times in Javascript
Sun-time is enough if you use JavaScript as programming language of server-side (Node.js).
npm install sun-time ;
Then :
var sun=require('sun-time');
sun('Tunis') // -> i.e : return {rise:"05:00",set:"18:36"}
for more details
SunCalc seems to do what you want
SunCalc is a tiny BSD-licensed JavaScript library for calculating sun position, sunlight phases (times for sunrise, sunset, dusk, etc.), moon position and lunar phase for the given location and time
https://github.com/mourner/suncalc
The relevant code can be found at http://www.esrl.noaa.gov/gmd/grad/solcalc/
You need longitude, latitude, and date. It would be helpful to indicate if you want the answer in local time, or universal time. The corrections needed to get true accuracy (and the definition you use for "sunrise" and "sunset") all play a huge role in the effectiveness of the calculation.
If you just want to know "approximately" when the sun is level with the horizon "on the assumption of a spherical earth, a circular orbit around the sun, and without atmospheric distortion" - then the whole shooting match reduces to something quite manageable. But if you want the real answer you have to work through about 600 lines of script of the above website.
For approximations, you can see this earlier answer