namespaceMath4 functions
Scalar math helpers, plus the vec2 and vec3 constructors.
datumhue.math.lerp(a: number, b: number, t: number) -> numberLinear interpolation from a to b by t (clamped 0..1).
print(datumhue.math.lerp(0, 10, 0.25)) --> 2.5
-- t is clamped to 0..1.
print(datumhue.math.lerp(0, 10, 1.5)) --> 10.0datumhue.math.clamp(v: number, lo: number, hi: number) -> numberClamp v to the range [lo, hi].
datumhue.math.remap(v: number, in_lo: number, in_hi: number, out_lo: number, out_hi: number) -> numberRemap v from [in_lo, in_hi] to [out_lo, out_hi]. A zero-width input range maps to out_lo.
-- 5 is halfway through 0..10, so it maps halfway through 100..200.
print(datumhue.math.remap(5, 0, 10, 100, 200)) --> 150.0
-- A value outside the input range maps past the output range.
print(datumhue.math.remap(15, 0, 10, 100, 200)) --> 250.0datumhue.math.smoothstep(edge0: number, edge1: number, x: number) -> numberSmooth Hermite interpolation: 0 at or below edge0, 1 at or above edge1, with a smooth 3t^2 - 2t^3 ramp between (zero slope at both edges). A zero-width edge range degenerates to a hard step at edge0.
-- Fade in between distances 100 and 200, easing at both ends.
print(datumhue.math.smoothstep(100, 200, 50)) --> 0.0
print(datumhue.math.smoothstep(100, 200, 125)) --> 0.15625
print(datumhue.math.smoothstep(100, 200, 150)) --> 0.5
print(datumhue.math.smoothstep(100, 200, 250)) --> 1.0