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DS-1000 / 420 / The clamp function is clamp(x, min, max) = min if x < min, max if x > max, else…

Problem

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Problem:
The clamp function is clamp(x, min, max) = min if x < min, max if x > max, else x
I need a function that behaves like the clamp function, but is smooth (i.e. has a continuous derivative). Maybe using 3x^2 – 2x^3 to smooth the function?
A:
<code>
import numpy as np
x = 0.25
x_min = 0
x_max = 1
</code>
define function named `smoothclamp` as solution
BEGIN SOLUTION
<code>

library

Numpy

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Source and history

upstream_id / Original problem ID
420
task_id
375eb39c-99df-5f50-b301-456a51769ab7
task_key
default--test--420
task_revision_id
1
config / split
default / test

Official source

initial import