Smoothstep is a mathematical function that can smoothly interpolate between two values.
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def smoothstep(value): return value * value * (3 - 2 * value)
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resolution = 1000 x = [x / resolution for x in range(resolution)] y = [smoothstep(x) for x in x] _ = plt.plot(x, y)
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def smootherstep(value): return value * value * value * (value * (value * 6 - 15) + 10)
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resolution = 1000 x = [x / resolution for x in range(resolution)] y = [smootherstep(x) for x in x] _ = plt.plot(x, y)
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Comparison
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resolution = 10_000 x = [x / resolution for x in range(resolution)] y = [smootherstep(x) for x in x] _ = plt.plot(x, y, label="Smootherstep") x = [x / resolution for x in range(resolution)] y = [smoothstep(x) for x in x] _ = plt.plot(x, y, label="Smoothstep") _ = plt.legend()
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