import numpy as np
import matplotlib.pyplot as plt
import matplotlib.animation as animation
import modules.rollingball as RB
import AutoDiff_CKMZ.modules.AutoDiff as AD
from time import time
function_list = [lambda x: AD.sin(x),
lambda x: AD.exp(x),
lambda x: x * AD.sin(x),
lambda x: - AD.log(x),
lambda x: AD.sinh(x),
lambda x: AD.exp(AD.cos(x)),
lambda x: 2 ** x,
lambda x: 1 / AD.tan(x),
lambda x: AD.sin(x) / x,
lambda x: x ** 2]
derivative_list = [lambda x: np.cos(x),
lambda x: np.exp(x),
lambda x: np.sin(x) + x * np.cos(x),
lambda x: -1 / x,
lambda x: np.cosh(x),
lambda x: - np.exp(np.cos(x)) * np.sin(x),
lambda x: 2 ** x * np.log(2),
lambda x: - 1 / np.sin(x) ** 2,
lambda x: (x * np.cos(x) - np.sin(x)) / x ** 2,
lambda x: 2 * x]
class function():
def test_tan_exp_div_neg():
f = -AD.tan(x1) / AD.exp(x1)
assert tol > abs(f.x - 0.29571298878)
assert tol > abs(f.dx - -1.077192940578)
def test_multivariate():
f = x3[0] * AD.exp(3 * x3[1])
assert f.dx[0] == 1
assert f.dx[1] == 6
def test_exp():
f = AD.exp(x1)
assert f.x == np.exp(2)
assert f.dx == np.exp(2)
f = AD.exp(2)
assert f == np.exp(2)