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The basis of Circadian Lighting is to figure out how to adjust lights to mimic the sun, which is roughly parabolic above and below the horizon. Originally I used three points to calculate the parabolas - sunrise, sunset, and solar noon/midnight. I did a bunch of generic arithmetic to generate the parabola from those three points. The problem is that this arithmetic generates a parabola from _any_ three points - in reality the points I have are the intercepts and vertex. The problem with the old method is that if solar noon/midnight did not fall exactly between sunrise and sunset then the calculated vertex could be more or less than 100%, which would cause the integration to set color/brightness values above or below the set min/max. Generating a parabola from the intercepts and vertex is much simpler and also should guarantee the min/max are what's expected. In addition to this change, I'm also now calculating 4 "half" parabolas instead of just one for above horizon and one for below horizon. The "half" parabolas are: sunrise->solar-noon, solar-noon->sunset, sunset->solar-midnight, solar-midnight->sunrise. This is necessary for the case where solar noon/midnight don't fall exactly half way between sunrise and sunset, which is especially prevalent for users who specify a specific time for sunrise or sunset but not both. I'm embarrassed at how it's been before it dawned on me that I could calculate the parabolas from intercepts/vertex rather than the three random points method, but hopefully this fixes inconsistencies for users - it should definitely fix issue #25! |
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