I would like to plot the numpy.cbrt function in Sage.
The example:
import numpy as np
parametric_plot([u,np.sin(u)], (u,0,pi))
plots a sine wave, but
parametric_plot([u,np.cbrt(u)], (u,0,pi))
produces the error:
TypeError: loop of ufunc does not support argument 0 of type sage.symbolic.expression.Expression which has no callable cbrt method
Isn't Sage passing the interval [0,pi] as an array when constructing the plot? I'd like to know why some numpy functions will work in this manner with Sage, and why others do not, and if there is a workaround.
FWIW:
I am doing this to test numpy numerical precision vs. Sage built-in math functions. Numpy seems to be more precise, even using Sage RealField precision beyond 53 bits.