limp is a made up abbreviation for linear interval map, which linearly maps:
a scalar value x0, that's in a
scalar interval u0: [min: number, max: number] to
a scalar output return value x1, that's in the
scalar interval u1: [min: number, max: number]
the math equation is simply x1 = u1[0] + (x - u0[0]) * (u1[1] - u1[0]) / (u0[1] - u0[0]).
which is basically doing inverse_lerp on x0 to find t, then applying lerp onto interval u1 with the found t.
you may think of this function as a means for finding the "y-coordinate" (x1) of a point at the "x-coordinate" x0,
that is between two connected line segment points (u0[0], u1[0]) and (u0[1], u1[1]).
limp
is a made up abbreviation for linear interval map, which linearly maps:x0
, that's in au0: [min: number, max: number]
tox1
, that's in theu1: [min: number, max: number]
the math equation is simply
x1 = u1[0] + (x - u0[0]) * (u1[1] - u1[0]) / (u0[1] - u0[0])
. which is basically doing inverse_lerp onx0
to findt
, then applying lerp onto intervalu1
with the foundt
.you may think of this function as a means for finding the "y-coordinate" (
x1
) of a point at the "x-coordinate"x0
, that is between two connected line segment points(u0[0], u1[0])
and(u0[1], u1[1])
.