pymath.interpolate_linear

Linear interpolation between two numbers or two vectors.

r = pymath.interpolate_linear(v, w, t)

Parameter	Type	Description
v	number or vector	Start value (returned for t == 0).
w	number or vector	End value (returned for t == 1); the same shape as v.
t	number	Interpolation parameter.

Return value

Type	Description
r	v + (w - v) * t — a number if the inputs are numbers, otherwise a new vector of the same dimension.

Notes:

• t is not clamped: values outside [0, 1] extrapolate beyond v or w. Combine with pymath.clamp if clamping is wanted.
• Both vectors must have the same dimension; v and w are not modified.
• For spherical interpolation of rotations see pymath.interpolate_quat; for a smooth curve through several points see pymath.interpolate_cubic.

Example:

local x = pymath.interpolate_linear(0, 10, 0.25)
-- x == 2.5

local p = pymath.interpolate_linear({0, 0, 0}, {10, 20, 30}, 0.5)
-- p == {5, 10, 15}

-- t outside [0, 1] extrapolates
local y = pymath.interpolate_linear(0, 10, 1.5)
-- y == 15.0

Version Support:

Minimum PYTHA Version: V27

See also:

pymath, pymath.clamp, pymath.smooth_step, pymath.interpolate_quat, pymath.interpolate_cubic