Sphere function

\[\sum\limits_{i=1}^{nx}x_i^2,\quad-10\leq x_i\leq 10,\quad\text{ for }i=1,\ldots,nx.\]

Usage

import matplotlib.pyplot as plt
import numpy as np

from smt.problems import Sphere

ndim = 2
problem = Sphere(ndim=ndim)

num = 100
x = np.ones((num, ndim))
x[:, 0] = np.linspace(-10, 10.0, num)
x[:, 1] = 0.0
y = problem(x)

yd = np.empty((num, ndim))
for i in range(ndim):
    yd[:, i] = problem(x, kx=i).flatten()

print(y.shape)
print(yd.shape)

plt.plot(x[:, 0], y[:, 0])
plt.xlabel("x")
plt.ylabel("y")
plt.show()
(100, 1)
(100, 2)
../../_images/sphere_Test_test_sphere.png

Options

List of options

Option

Default

Acceptable values

Acceptable types

Description

ndim

1

None

[‘int’]

return_complex

False

None

[‘bool’]

name

Sphere

None

[‘str’]