Smoothstep is a mathematical function that can smoothly interpolate between two values.
Smoothstep
In [2]:
def smoothstep(x: float) -> float: return x * x * (3 - 2 * x)
In [3]:
x = np.linspace(0, 1, 1000) y = [smoothstep(i) for i in x] _ = plt.plot(x, y)
Out:
Smootherstep
In [4]:
def smootherstep(x: float) -> float: return x * x * x * (x * (x * 6 - 15) + 10)
In [5]:
x = np.linspace(0, 1, 1000) y = [smootherstep(i) for i in x] _ = plt.plot(x, y)
Out:
Comparison
Here’s a comparison of the two functions.
In [6]:
x = np.linspace(0, 1, 1000) y1 = [smoothstep(i) for i in x] y2 = [smootherstep(i) for i in x] _ = plt.plot(x, y1, label="Smoothstep") _ = plt.plot(x, y2, label="Smootherstep") _ = plt.legend()
Out:
