gradient - How to walk along all points on a line in python -


i have function has line of zeros. (imagine f(x)=(sin(x)/x)^2), don't know line or shape takes, can trivially find point on line minimizing f(x); once i've found 1 point on line of zeros, want map out line making small steps, until end of line, or start:

from numpy import sin math import pi  def f(x,y):     r=(x**2+y**2)**0.5     return (sin(r)/r)**2  x0=pi y0=0

now how trace line of x,y corresponds f(x,y)=0 (in case circle, radius pi, in case shape , position not analytic)?


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