Balanced nonary clock face #347
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Allowing the faces to access the internal segment mapping code makes it easier to have custom characters and have fancy effects.
What's the point of having a customisable wrist watch unless you have bizarre timing schemes? This maintains the normal concept of hours, but divides each hour into 9*9*9*9 seconds, so that we can display the time in nonary. But not just nonary, this is _balanced_ nonary, such that our digit values are -4, -3, -2, -1, 0, 1, 2, 3, 4 Midday is therefore 00:00:00. An example of counting before midday and after: 00:00:0(-4) 00:00:0(-3) 00:00:0(-2) 00:00:0(-1) 00:00:00 00:00:01 00:00:02 00:00:03 00:00:04 00:00:1(-4) 00:00:1(-3) 00:00:1(-2) 00:00:1(-1) 00:00:10 00:00:11 etc. This has the advantage that you can always see what hour/minute you're closer to. But wait - how can we display the negative digits? Well, to do this we use the top 'bar' in a digit as the negative sign, and for those numbers compress them into the bottom 4 segments, and then simply use the number of other segments filled as the digit. So, counting from -4 to 4: __ __ __ __ __ __ __ | | __ __ __| |__|, __|,__|,__,|__|, |, |,| |,| | Sadly, because the top and the bottom segments are tied, we can't easily use the same digit for positive and negative values without running into 'normal' numbers in confusing ways.
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WARNING: this includes a commit from #346, so, err, ignore any watch_private_display.* things. The actual changes are all in nonary_clock_face.*
What's the point of having a customisable wrist watch unless you have bizarre timing schemes?
This maintains the normal concept of hours, but divides each hour into
9 * 9 * 9 * 9seconds, so that we can display the time in nonary.But not just nonary, this is balanced nonary, such that our digit values are -4, -3, -2, -1, 0, 1, 2, 3, 4
See: https://en.wikipedia.org/wiki/Balanced_ternary for more info on balanced number systems.
Midday is therefore 00:00:00. An example of counting before midday and after:
00:00:0(-4)
00:00:0(-3)
00:00:0(-2)
00:00:0(-1)
00:00:00
00:00:01
00:00:02
00:00:03
00:00:04
00:00:1(-4)
00:00:1(-3)
00:00:1(-2)
00:00:1(-1)
00:00:10
00:00:11
etc.
This has the advantage that you can always see what hour/minute you're closer to.
But wait - how can we display the negative digits? Well, to do this we use the top 'bar' in a digit as the negative sign, and for those numbers compress them into the bottom 4 segments, and then simply use the number of other segments filled as the digit. So, counting from -4 to 4:
Sadly, because the top and the bottom segments are tied, we can't
easily use the same digit for positive and negative values without
running into 'normal' numbers in confusing ways.