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[added] mathx.relative_angle
replaced with mathx.angle_difference
and direction "fixed"
Fixes issue #6 after discussion was in favour of change.
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mathx.lua
29
mathx.lua
@ -174,20 +174,31 @@ end
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--alias for americans
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mathx.normalize_angle = mathx.normalise_angle
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--get the relative turn between two angles
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--note: cam considering reversing this, as the (b - a) version is more useful and intuitive...
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function mathx.relative_angle(a, b)
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--get the normalised difference between two angles
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function mathx.angle_difference(a, b)
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a = mathx.normalise_angle(a)
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b = mathx.normalise_angle(b)
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return mathx.normalise_angle(a - b)
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return mathx.normalise_angle(b - a)
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end
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--lerp between two angles
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--mathx.lerp equivalent for angles
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function mathx.lerp_angle(a, b, t)
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--(note: if we change relative_angle this will need changing,
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-- it's a good example of why relative_angle should probably change)
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local dif = mathx.relative_angle(a, b)
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return mathx.normalise_angle(a - dif * t)
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local dif = mathx.angle_difference(a, b)
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return mathx.normalise_angle(a + dif * t)
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end
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--mathx.lerp_eps equivalent for angles
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function mathx.lerp_angle_eps(a, b, t, eps)
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--short circuit to avoid having to wrap so many angles
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if a == b then
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return a
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end
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--same logic as lerp_eps
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local v = mathx.lerp_angle(a, b, t)
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if math.abs(mathx.angle_difference(v, b)) < eps then
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v = b
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end
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return v
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end
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--geometric rotation with multi-return
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