def test_event_detection():
for ffmt in D.available_float_fmt():
if ffmt == 'float16':
continue
D.set_float_fmt(ffmt)
print("Testing event detection for float format {}".format(D.float_fmt()))
de_mat = D.array([[0.0, 1.0],[-1.0, 0.0]])
@de.rhs_prettifier("""[vx, -x+t]""")
def rhs(t, state, **kwargs):
return de_mat @ state + D.array([0.0, t])
def analytic_soln(t, initial_conditions):
c1 = initial_conditions[0]
c2 = initial_conditions[1] - 1
return D.array([
c2 * D.sin(t) + c1 * D.cos(t) + t,
c2 * D.cos(t) - c1 * D.sin(t) + 1
])
y_init = D.array([1., 0.])
def time_event(t, y, **kwargs):
return t - D.pi/8
time_event.is_terminal = True
time_event.direction = 0
a = de.OdeSystem(rhs, y0=y_init, dense_output=True, t=(0, D.pi/4), dt=0.01, rtol=D.epsilon()**0.5, atol=D.epsilon()**0.5)
with de.utilities.BlockTimer(section_label="Integrator Tests") as sttimer:
for i in sorted(set(de.available_methods(False).values()), key=lambda x:x.__name__):
try:
a.set_method(i)
print("Testing {}".format(a.integrator))
a.integrate(eta=True, events=time_event)
if D.abs(a.t[-1] - D.pi/8) > 10*D.epsilon():
print("Event detection with integrator {} failed with t[-1] = {}".format(a.integrator, a.t[-1]))
raise RuntimeError("Failed to detect event for integrator {}".format(str(i)))
else:
print("Event detection with integrator {} succeeded with t[-1] = {}".format(a.integrator, a.t[-1]))
a.reset()
except Exception as e:
raise e
raise RuntimeError("Test failed for integration method: {}".format(a.integrator))
print("")
print("{} backend test passed successfully!".format(D.backend()))
def test_getter_setters():
for ffmt in D.available_float_fmt():
D.set_float_fmt(ffmt)
print("Testing {} float format".format(D.float_fmt()))
de_mat = D.array([[0.0, 1.0],[-1.0, 0.0]])
@de.rhs_prettifier("""[vx, -x+t]""")
def rhs(t, state, **kwargs):
return de_mat @ state + D.array([0.0, t])
def analytic_soln(t, initial_conditions):
c1 = initial_conditions[0]
c2 = initial_conditions[1] - 1
return D.array([
c2 * D.sin(t) + c1 * D.cos(t) + t,
c2 * D.cos(t) - c1 * D.sin(t) + 1
])
def kbinterrupt_cb(ode_sys):
if ode_sys[-1][0] > D.pi:
raise KeyboardInterrupt("Test Interruption and Catching")
y_init = D.array([1., 0.])
a = de.OdeSystem(rhs, y0=y_init, dense_output=True, t=(0, 2*D.pi), dt=0.01, rtol=D.epsilon()**0.5, atol=D.epsilon()**0.5)
assert(a.t0 == 0)
assert(a.tf == 2 * D.pi)
assert(a.dt == 0.01)
assert(a.get_current_time() == a.t0)
assert(a.rtol == D.epsilon()**0.5)
assert(a.atol == D.epsilon()**0.5)
assert(D.norm(a.y[0] - y_init) <= 2 * D.epsilon())
assert(D.norm(a.y[-1] - y_init) <= 2 * D.epsilon())
a.set_kick_vars([True, False])
assert(a.staggered_mask == [True, False])
pval = 3 * D.pi
a.tf = pval
assert(a.tf == pval)
pval = -1.0
a.t0 = pval
assert(a.t0 == pval)
assert(a.dt == 0.01)
a.rtol = 1e-3
assert(a.rtol == 1e-3)
a.atol = 1e-3
assert(a.atol == 1e-3)
for method in de.available_methods():
a.set_method(method)
assert(isinstance(a.integrator, de.available_methods(False)[method]))
for method in de.available_methods():
a.method = method
assert(isinstance(a.integrator, de.available_methods(False)[method]))
a.constants['k'] = 5.0
assert(a.constants['k'] == 5.0)
a.constants.pop('k')
assert('k' not in a.constants.keys())
new_constants = dict(k=10.0)
a.constants = new_constants
assert(a.constants['k'] == 10.0)
del a.constants
assert(not bool(a.constants))
def test_getter_setters():
for ffmt in D.available_float_fmt():
D.set_float_fmt(ffmt)
print("Testing {} float format".format(D.float_fmt()))
de_mat = D.array([[0.0, 1.0], [-1.0, 0.0]])
@de.rhs_prettifier("""[vx, -x+t]""")
def rhs(t, state, **kwargs):
return de_mat @ state + D.array([0.0, t])
def analytic_soln(t, initial_conditions):
c1 = initial_conditions[0]
c2 = initial_conditions[1] - 1
return D.array([
c2 * D.sin(t) + c1 * D.cos(t) + t,
c2 * D.cos(t) - c1 * D.sin(t) + 1
])
def kbinterrupt_cb(ode_sys):
if ode_sys[-1][0] > D.pi:
raise KeyboardInterrupt("Test Interruption and Catching")
y_init = D.array([1., 0.])
a = de.OdeSystem(rhs,
y0=y_init,
dense_output=True,
t=(0, 2 * D.pi),
dt=0.01,
rtol=D.epsilon()**0.5,
atol=D.epsilon()**0.5)
assert (a.get_end_time() == 2 * D.pi)
assert (a.get_start_time() == 0)
assert (a.dt == 0.01)
assert (a.rtol == D.epsilon()**0.5)
assert (a.atol == D.epsilon()**0.5)
assert (D.norm(a.y[0] - y_init) <= 2 * D.epsilon())
assert (D.norm(a.y[-1] - y_init) <= 2 * D.epsilon())
try:
a.set_kick_vars([True, False])
except Exception as e:
raise RuntimeError("set_kick_vars failed with: {}".format(e))
assert (a.staggered_mask == [True, False])
pval = 3 * D.pi
try:
a.set_end_time(pval)
except Exception as e:
raise RuntimeError("set_end_time failed with: {}".format(e))
assert (a.get_end_time() == pval)
pval = -1.0
try:
a.set_start_time(pval)
except Exception as e:
raise RuntimeError("set_start_time failed with: {}".format(e))
assert (a.get_start_time() == pval)
assert (a.get_step_size() == 0.01)
try:
a.set_rtol(1e-3)
except Exception as e:
raise RuntimeError("set_rtol failed with: {}".format(e))
assert (a.get_rtol() == 1e-3)
try:
a.set_atol(1e-3)
except Exception as e:
raise RuntimeError("set_atol failed with: {}".format(e))
assert (a.get_atol() == 1e-3)
try:
a.set_method("RK45CK")
except Exception as e:
raise RuntimeError("set_method failed with: {}".format(e))
assert (isinstance(a.integrator,
de.available_methods(False)["RK45CK"]))
try:
a.add_constants(k=5.0)
except Exception as e:
raise RuntimeError("add_constants failed with: {}".format(e))
assert (a.consts['k'] == 5.0)
try:
a.remove_constants('k')
except Exception as e:
raise RuntimeError("remove_constants failed with: {}".format(e))
assert ('k' not in a.consts.keys())
def test_gradients():
for ffmt in D.available_float_fmt():
D.set_float_fmt(ffmt)
print("Testing {} float format".format(D.float_fmt()))
import torch
torch.set_printoptions(precision=17)
torch.set_num_threads(1)
torch.autograd.set_detect_anomaly(True)
class NNController(torch.nn.Module):
def __init__(self,
in_dim=2,
out_dim=2,
inter_dim=50,
append_time=False):
super().__init__()
self.append_time = append_time
self.net = torch.nn.Sequential(
torch.nn.Linear(in_dim + (1 if append_time else 0),
inter_dim), torch.nn.Softplus(),
torch.nn.Linear(inter_dim, out_dim), torch.nn.Sigmoid())
for idx, m in enumerate(self.net.modules()):
if isinstance(m, torch.nn.Linear):
torch.nn.init.xavier_normal_(m.weight, gain=1.0)
torch.nn.init.constant_(m.bias, 0.0)
def forward(self, t, y, dy):
if self.append_time:
return self.net(
torch.cat([y.view(-1),
dy.view(-1),
t.view(-1)]))
else:
return self.net(torch.cat([y, dy]))
class SimpleODE(torch.nn.Module):
def __init__(self, inter_dim=10, k=1.0):
super().__init__()
self.nn_controller = NNController(in_dim=4,
out_dim=1,
inter_dim=inter_dim)
self.A = torch.tensor([[0.0, 1.0], [-k, -1.0]],
requires_grad=True)
def forward(self, t, y, params=None):
if not isinstance(t, torch.Tensor):
torch_t = torch.tensor(t)
else:
torch_t = t
if not isinstance(y, torch.Tensor):
torch_y = torch.tensor(y)
else:
torch_y = y
if params is not None:
if not isinstance(params, torch.Tensor):
torch_params = torch.tensor(params)
else:
torch_params = params
dy = torch.matmul(self.A, torch_y)
controller_effect = self.nn_controller(
torch_t, torch_y, dy) if params is None else params
return dy + torch.cat(
[torch.tensor([0.0]), (controller_effect * 2.0 - 1.0)])
with de.utilities.BlockTimer(section_label="Integrator Tests"):
for i in sorted(set(de.available_methods(False).values()),
key=lambda x: x.__name__):
try:
yi1 = D.array([1.0, 0.0], requires_grad=True)
df = SimpleODE(k=1.0)
a = de.OdeSystem(df,
yi1,
t=(0, 1.),
dt=0.0675,
rtol=D.epsilon()**0.5,
atol=D.epsilon()**0.5)
a.set_method(i)
a.integrate(eta=True)
dyfdyi = D.jacobian(a.y[-1], a.y[0])
dyi = D.array([0.0, 1.0]) * D.epsilon()**0.5
dyf = D.einsum("nk,k->n", dyfdyi, dyi)
yi2 = yi1 + dyi
b = de.OdeSystem(df,
yi2,
t=(0, 1.),
dt=0.0675,
rtol=D.epsilon()**0.5,
atol=D.epsilon()**0.5)
b.set_method(i)
b.integrate(eta=True)
true_diff = b.y[-1] - a.y[-1]
print(D.norm(true_diff - dyf), D.epsilon()**0.5)
assert (D.allclose(true_diff,
dyf,
rtol=4 * D.epsilon()**0.5,
atol=4 * D.epsilon()**0.5))
print("{} method test succeeded!".format(a.integrator))
except:
raise RuntimeError(
"Test failed for integration method: {}".format(
a.integrator))
print("")
print("{} backend test passed successfully!".format(D.backend()))
import desolver as de
import desolver.backend as D
import pytest
integrator_set = set(de.available_methods(False).values())
integrator_set = sorted(integrator_set, key=lambda x: x.__name__)
explicit_integrator_set = [
pytest.param(intg, marks=pytest.mark.explicit) for intg in integrator_set if not intg.__implicit__
]
implicit_integrator_set = [
pytest.param(intg, marks=pytest.mark.implicit) for intg in integrator_set if intg.__implicit__
]
if D.backend() == 'torch':
devices_set = [pytest.param('cpu', marks=pytest.mark.cpu)]
import torch
if torch.cuda.is_available():
devices_set.insert(0, pytest.param('cuda', marks=pytest.mark.gpu))
else:
devices_set = [None]
dt_set = [D.pi / 307, D.pi / 512]
ffmt_set = D.available_float_fmt()
ffmt_param = pytest.mark.parametrize('ffmt', ffmt_set)
integrator_param = pytest.mark.parametrize('integrator', explicit_integrator_set + implicit_integrator_set)
richardson_param = pytest.mark.parametrize('use_richardson_extrapolation', [True, False])
device_param = pytest.mark.parametrize('device', devices_set)
dt_param = pytest.mark.parametrize('dt', dt_set)
def test_getter_setters(ffmt):
D.set_float_fmt(ffmt)
if D.backend() == 'torch':
import torch
torch.set_printoptions(precision=17)
torch.autograd.set_detect_anomaly(True)
print("Testing {} float format".format(D.float_fmt()))
de_mat = D.array([[0.0, 1.0], [-1.0, 0.0]])
@de.rhs_prettifier("""[vx, -x+t]""")
def rhs(t, state, **kwargs):
return de_mat @ state + D.array([0.0, t])
y_init = D.array([1., 0.])
a = de.OdeSystem(rhs,
y0=y_init,
dense_output=True,
t=(0, 2 * D.pi),
dt=0.01,
rtol=D.epsilon()**0.5,
atol=D.epsilon()**0.5)
assert (a.t0 == 0)
assert (a.tf == 2 * D.pi)
assert (a.dt == 0.01)
assert (a.get_current_time() == a.t0)
assert (a.rtol == D.epsilon()**0.5)
assert (a.atol == D.epsilon()**0.5)
assert (D.norm(a.y[0] - y_init) <= 2 * D.epsilon())
assert (D.norm(a.y[-1] - y_init) <= 2 * D.epsilon())
a.set_kick_vars([True, False])
assert (a.staggered_mask == [True, False])
pval = 3 * D.pi
a.tf = pval
assert (a.tf == pval)
pval = -1.0
a.t0 = pval
assert (a.t0 == pval)
assert (a.dt == 0.01)
a.rtol = 1e-3
assert (a.rtol == 1e-3)
a.atol = 1e-3
assert (a.atol == 1e-3)
for method in de.available_methods():
a.set_method(method)
assert (isinstance(a.integrator, de.available_methods(False)[method]))
for method in de.available_methods():
a.method = method
assert (isinstance(a.integrator, de.available_methods(False)[method]))
a.constants['k'] = 5.0
assert (a.constants['k'] == 5.0)
a.constants.pop('k')
assert ('k' not in a.constants.keys())
new_constants = dict(k=10.0)
a.constants = new_constants
assert (a.constants['k'] == 10.0)
del a.constants
assert (not bool(a.constants))
def test_float_formats():
for ffmt in D.available_float_fmt():
D.set_float_fmt(ffmt)
print("Testing {} float format".format(D.float_fmt()))
de_mat = D.array([[0.0, 1.0], [-1.0, 0.0]])
@de.rhs_prettifier("""[vx, -x+t]""")
def rhs(t, state, **kwargs):
return de_mat @ state + D.array([0.0, t])
def analytic_soln(t, initial_conditions):
c1 = initial_conditions[0]
c2 = initial_conditions[1] - 1
return D.array([
c2 * D.sin(t) + c1 * D.cos(t) + t,
c2 * D.cos(t) - c1 * D.sin(t) + 1
])
def kbinterrupt_cb(ode_sys):
if ode_sys[-1][0] > D.pi:
raise KeyboardInterrupt("Test Interruption and Catching")
y_init = D.array([1., 0.])
a = de.OdeSystem(rhs,
y0=y_init,
dense_output=True,
t=(0, 2 * D.pi),
dt=0.01,
rtol=D.epsilon()**0.5,
atol=D.epsilon()**0.5)
with de.utilities.BlockTimer(
section_label="Integrator Tests") as sttimer:
for i in sorted(set(de.available_methods(False).values()),
key=lambda x: x.__name__):
if "Heun-Euler" in i.__name__ and D.float_fmt(
) == "gdual_real128":
print(
"skipping {} due to ridiculous timestep requirements.".
format(i))
continue
try:
a.set_method(i)
print("Testing {}".format(a.integrator))
try:
a.integrate(callback=kbinterrupt_cb, eta=True)
except KeyboardInterrupt as e:
pass
try:
a.integrate(eta=True)
except:
raise
max_diff = D.max(
D.abs(analytic_soln(a.t[-1], a.y[0]) - a.y[-1]))
if a.method.__adaptive__ and max_diff >= a.atol * 10 + D.epsilon(
):
print(
"{} Failed with max_diff from analytical solution = {}"
.format(a.integrator, max_diff))
raise RuntimeError(
"Failed to meet tolerances for adaptive integrator {}"
.format(str(i)))
else:
print(
"{} Succeeded with max_diff from analytical solution = {}"
.format(a.integrator, max_diff))
a.reset()
except Exception as e:
print(e)
raise RuntimeError(
"Test failed for integration method: {}".format(
a.integrator))
print("")
print("{} backend test passed successfully!".format(D.backend()))
