'C': 0
}
point_2 = euler.step_forward(initial_point, 0.1)
assert point_2 == (0.1, {'A': 0.1, 'B': 0, 'C': 0}), point_2
assert euler.calc_derivative_at_point(point_2) == {
'A': 1.1,
'B': 0.1,
'C': 0
}, euler.calc_derivative_at_point(point_2)
point_3 = euler.step_forward(point_2, -0.5)
assert point_3 == (-0.4, {'A': -0.45, 'B': -0.05, 'C': 0}), point_3
assert euler.calc_estimated_points(point_3, 2, 3) == [(-0.4, {
'A': -0.45,
'B': -0.05,
'C': 0.0
}), (1.6, {
'A': 0.65,
'B': -1.05,
'C': -0.2
}), (3.6, {
'A': 3.95,
'B': -1.85,
'C': -4.4
}), (5.6, {
'A': 13.85,
'B': 2.35,
'C': -11.8
assert euler.calc_derivative_at_point(initial_point) == {
'A': 1,
'B': 0,
'C': 0
}
point_2 = euler.step_forward(point=initial_point, step_size=0.1)
assert point_2 == (0.1, {'A': 0.1, 'B': 0, 'C': 0})
assert euler.calc_derivative_at_point(point_2) == {'A': 1.1, 'B': 0.1, 'C': 0}
point_3 = euler.step_forward(point=point_2, step_size=-0.5)
assert point_3 == (-0.4, {'A': -0.45, 'B': -0.05, 'C': 0})
assert euler.calc_estimated_points(point=point_3, step_size=2,
num_steps=3) == [
(-0.4, {
'A': -0.45,
'B': -0.05,
'C': 0
}), # starting point
(1.6, {
'A': 0.65,
'B': -1.05,
'C': -0.2
}), # after 1st step
(3.6, {
'A': 3.95,
'B': -1.85,
'C': -4.4
}), # after 2nd step
