I don't always manage to adhere to my own advise here. But talking to "customers" really solves this.
Half these customers can't be bothered by the edge cases that I've been poring over for nights. The other half puts forward edge cases that I've never been aware of. Some of which are critical to their work-flow. Many are implemented in mere minutes. "Wow. That saves us 30 minutes typing over prices, every day!".
As an engineer I love to find solutions. But as an entrepeneur I really must understand the problem and scope. that 0.1% edge cases is hardly ever part of the success.
Thanks for posting this, honestly the 0.1% scare me sometimes on technical project. I think you're right, just gotta talk to my customers directly if they even care about it.
You could probably make it in a few minutes - the direction of the sun is, to a first approximation, 15 degrees times the number of hours it is after midnight. This leads to a trick for using an analog watch as a compass:
> The equation of time describes the discrepancy between two kinds of solar time. The word equation is used in the medieval sense of "reconciliation of a difference". The two times that differ are the apparent solar time, which directly tracks the diurnal motion of the Sun, and mean solar time, which tracks a theoretical mean Sun with uniform motion along the celestial equator. Apparent solar time can be obtained by measurement of the current position (hour angle) of the Sun, as indicated (with limited accuracy) by a sundial. Mean solar time, for the same place, would be the time indicated by a steady clock set so that over the year its differences from apparent solar time would have a mean of zero.
The equation of time would be in there! But the largest that gets is about 16 minutes, corresponding to a 4-degree error in position, and there are much bigger sources of error. But thanks for the link to the Clock of the Long Now!