"""NOTE(emmett): It appears that this manifold with weak local minimum causes difficulties with partitioning."""
import numpy as np
import util
def gen_manifold(x_sample, y_sample):
x_sample *= np.pi**3
y_sample *= np.pi**3
v = np.sqrt(x_sample**2 + y_sample**2)
# Add a small amount to prevent divide by zero.
epsilon = 1.0e-6
return np.sin(v) / (epsilon + v)
if __name__ == "__main__":
util.run_main(gen_manifold, default_n_samples=2000)
"""NOTE(emmett): It appears that this manifold is not partitioned nicely."""
import util
def gen_manifold(x_sample, y_sample):
return (x_sample + y_sample)**2
if __name__ == "__main__":
util.run_main(gen_manifold)