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	#value at pt t of a single bernstein Polynomial	#value at pt t of a single bernstein Polynomial
	def bernsteinPoly(n, i, t):	def bernsteinPoly(n, i, t):
	binomCoeff = binomDict[(n, i)]	binomCoeff = binomDict[(n, i)]
	return binomCoeff * pow(t, i) * pow(1 - t, n - i)	return binomCoeff * t ** i * (1 - t) ** (n - i)

	# fit a single cubic to data points in range [s(tart),e(nd)].	# fit a single cubic to data points in range [s(tart),e(nd)].
	def fitSingleCubic(data_pts, s, e):	def fitSingleCubic(data_pts, s, e):
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