def test_integrate_predefined(method, use_jac):
k = k0, k1, k2 = 2.0, 3.0, 4.0
y0 = [0.7, 0.3, 0.5]
f, j = _get_f_j(k)
if not use_jac:
j = None
xout = np.linspace(0, 3)
dx0 = 1e-10
# Run twice to catch possible side-effects:
yout, info = integrate_predefined(f,
j,
y0,
xout,
1e-9,
1e-9,
dx0,
method=method)
yout, info = integrate_predefined(f,
j,
y0,
xout,
1e-9,
1e-9,
dx0,
method=method)
assert info['success']
assert info['atol'] == 1e-9 and info['rtol'] == 1e-9
assert info['nfev'] > 0
if use_jac:
assert info['njev'] > 0
yref = decay_get_Cref(k, y0, xout)
assert np.allclose(yout, yref)
if os.name == 'posix':
assert info['time_wall'] >= 0
assert info['time_cpu'] >= 0
def test_integrate_predefined(method, use_jac):
k = k0, k1, k2 = 2.0, 3.0, 4.0
y0 = [0.7, 0.3, 0.5]
f, j = _get_f_j(k)
if not use_jac:
j = None
xout = np.linspace(0, 3)
dx0 = 1e-10
# Run twice to catch possible side-effects:
yout, info = integrate_predefined(f, j, y0, xout, 1e-9, 1e-9, dx0,
method=method)
yout, info = integrate_predefined(f, j, y0, xout, 1e-9, 1e-9, dx0,
method=method)
assert info['success']
assert info['nfev'] > 0
if use_jac:
assert info['njev'] > 0
yref = decay_get_Cref(k, y0, xout)
assert np.allclose(yout, yref)
assert 1e-9 < info['time_wall'] < 1.0 # Takes a few ms on a 2012 desktop computer
assert 1e-9 < info['time_cpu'] < 1.0 # Takes a few ms on a 2012 desktop computer
def test_predefined_return_on_error():
k = k0, k1, k2 = 2.0, 3.0, 4.0
y0 = [0.7, 0., 0.]
atol, rtol = 1e-8, 1e-8
kwargs = dict(dx0=1e-10, atol=atol, rtol=rtol,
method='rosenbrock4', return_on_error=True, nsteps=12)
f, j = _get_f_j(k)
xout = np.logspace(-3, 1)
yout, info = integrate_predefined(f, j, y0, xout, **kwargs)
yref = decay_get_Cref(k, y0, xout - xout[0])
assert np.allclose(yout[:info['nreached'], :], yref[:info['nreached'], :],
rtol=10*rtol,
atol=10*atol)
assert 10 < info['nreached'] < 40
assert yout.shape[0] == xout.size
assert info['nfev'] > 0
assert info['njev'] > 0
assert info['success'] is False
def integrate_ivp(u0=1.0,
v0=0.0,
mu=1.0,
tend=10.0,
dt0=1e-8,
nt=0,
t0=0.0,
atol=1e-8,
rtol=1e-8,
plot=False,
savefig='None',
method='rosenbrock4',
dpi=100,
verbose=False):
f, j = get_f_and_j(mu)
if nt > 1:
tout = np.linspace(t0, tend, nt)
yout, info = integrate_predefined(f,
j, [u0, v0],
tout,
dt0,
atol,
rtol,
method=method,
nsteps=1000)
else:
tout, yout, info = integrate_adaptive(f,
j, [u0, v0],
t0,
tend,
dt0,
atol,
rtol,
method=method,
nsteps=1000)
if verbose:
print(info)
if plot:
import matplotlib.pyplot as plt
plt.plot(tout, yout)
if savefig == 'None':
plt.show()
else:
plt.savefig(savefig, dpi=dpi)
def integrate_ivp(u0=1.0, v0=0.0, mu=1.0, tend=10.0, dt0=1e-8, nt=0,
t0=0.0, atol=1e-8, rtol=1e-8, plot=False, savefig='None',
method='rosenbrock4', dpi=100, verbose=False):
f, j = get_f_and_j(mu)
if nt > 1:
tout = np.linspace(t0, tend, nt)
yout, info = integrate_predefined(
f, j, [u0, v0], tout, dt0, atol, rtol, method=method, nsteps=1000)
else:
tout, yout, info = integrate_adaptive(
f, j, [u0, v0], t0, tend, dt0, atol, rtol, method=method, nsteps=1000)
if verbose:
print(info)
if plot:
import matplotlib.pyplot as plt
plt.plot(tout, yout)
if savefig == 'None':
plt.show()
else:
plt.savefig(savefig, dpi=dpi)
def test_predefined_autorestart():
k = k0, k1, k2 = 2.0, 3.0, 4.0
y0 = [0.7, 0.3, 0.5]
atol, rtol = 1e-8, 1e-8
x0, xend = 0, 3
kwargs = dict(dx0=1e-10, atol=atol, rtol=rtol,
method='rosenbrock4', nsteps=62,
autorestart=10)
f, j = _get_f_j(k)
xout = np.linspace(x0, xend)
yout, info = integrate_predefined(f, j, y0, xout, **kwargs)
yref = decay_get_Cref(k, y0, xout)
assert np.allclose(yout, yref,
rtol=10*rtol,
atol=10*atol)
assert xout[-1] > 1e-6
assert yout.shape[0] == xout.size
assert info['nfev'] > 0
assert info['njev'] > 0
assert info['success']
assert xout[-1] == xend
def test_predefined_autorestart():
k = k0, k1, k2 = 2.0, 3.0, 4.0
y0 = [0.7, 0.3, 0.5]
atol, rtol = 1e-8, 1e-8
x0, xend = 0, 3
kwargs = dict(dx0=1e-10,
atol=atol,
rtol=rtol,
method='rosenbrock4',
nsteps=62,
autorestart=10)
f, j = _get_f_j(k)
xout = np.linspace(x0, xend)
yout, info = integrate_predefined(f, j, y0, xout, **kwargs)
yref = decay_get_Cref(k, y0, xout)
assert np.allclose(yout, yref, rtol=10 * rtol, atol=10 * atol)
assert xout[-1] > 1e-6
assert yout.shape[0] == xout.size
assert info['nfev'] > 0
assert info['njev'] > 0
assert info['success']
assert xout[-1] == xend
def test_predefined_return_on_error():
k = k0, k1, k2 = 2.0, 3.0, 4.0
y0 = [0.7, 0., 0.]
atol, rtol = 1e-8, 1e-8
kwargs = dict(dx0=1e-10,
atol=atol,
rtol=rtol,
method='rosenbrock4',
return_on_error=True,
nsteps=12)
f, j = _get_f_j(k)
xout = np.logspace(-3, 1)
yout, info = integrate_predefined(f, j, y0, xout, **kwargs)
yref = decay_get_Cref(k, y0, xout - xout[0])
assert np.allclose(yout[:info['nreached'], :],
yref[:info['nreached'], :],
rtol=10 * rtol,
atol=10 * atol)
assert 10 < info['nreached'] < 40
assert yout.shape[0] == xout.size
assert info['nfev'] > 0
assert info['njev'] > 0
assert info['success'] is False