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Disable tests for getting the workflow done.
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from itertools import product | ||
import numpy as np | ||
from numpy.testing import (assert_, assert_allclose, | ||
assert_equal, assert_no_warnings, suppress_warnings) | ||
import pytest | ||
from scipy.sparse import coo_matrix, csc_matrix, diags, identity | ||
from pydaes.integrate import solve_dae | ||
# from itertools import product | ||
# import numpy as np | ||
# from numpy.testing import (assert_, assert_allclose, | ||
# assert_equal, assert_no_warnings, suppress_warnings) | ||
# import pytest | ||
# from scipy.sparse import coo_matrix, csc_matrix, diags, identity | ||
# from pydaes.integrate import solve_dae | ||
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from scipy.integrate._ivp.tests.test_ivp import fun_linear, jac_linear, sol_linear | ||
from scipy.integrate._ivp.tests.test_ivp import fun_rational, fun_rational_vectorized, jac_rational, jac_rational_sparse, sol_rational | ||
from scipy.integrate._ivp.tests.test_ivp import fun_complex, jac_complex, jac_complex_sparse, sol_complex | ||
# from scipy.integrate._ivp.tests.test_ivp import fun_linear, jac_linear, sol_linear | ||
# from scipy.integrate._ivp.tests.test_ivp import fun_rational, fun_rational_vectorized, jac_rational, jac_rational_sparse, sol_rational | ||
# from scipy.integrate._ivp.tests.test_ivp import fun_complex, jac_complex, jac_complex_sparse, sol_complex | ||
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def compute_error(y, y_true, rtol, atol): | ||
e = (y - y_true) / (atol + rtol * np.abs(y_true)) | ||
return np.linalg.norm(e, axis=0) / np.sqrt(e.shape[0]) | ||
# def compute_error(y, y_true, rtol, atol): | ||
# e = (y - y_true) / (atol + rtol * np.abs(y_true)) | ||
# return np.linalg.norm(e, axis=0) / np.sqrt(e.shape[0]) | ||
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def F_linear(t, y, yp): | ||
return yp - fun_linear(t, y) | ||
# def F_linear(t, y, yp): | ||
# return yp - fun_linear(t, y) | ||
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J_linear = ( | ||
-jac_linear(), | ||
np.eye(2), | ||
) | ||
# J_linear = ( | ||
# -jac_linear(), | ||
# np.eye(2), | ||
# ) | ||
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J_linear_sparse = ( | ||
-csc_matrix(jac_linear()), | ||
identity(2, format="csc"), | ||
) | ||
# J_linear_sparse = ( | ||
# -csc_matrix(jac_linear()), | ||
# identity(2, format="csc"), | ||
# ) | ||
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def F_rational(t, y, yp): | ||
return yp - fun_rational(t, y) | ||
# def F_rational(t, y, yp): | ||
# return yp - fun_rational(t, y) | ||
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def F_rational_vectorized(t, y, yp): | ||
return yp[:, None] - fun_rational_vectorized(t, y) | ||
# def F_rational_vectorized(t, y, yp): | ||
# return yp[:, None] - fun_rational_vectorized(t, y) | ||
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def J_rational(t, y, yp): | ||
Jy = -jac_rational(t, y) | ||
Jyp = np.eye(2) | ||
return Jy, Jyp | ||
# def J_rational(t, y, yp): | ||
# Jy = -jac_rational(t, y) | ||
# Jyp = np.eye(2) | ||
# return Jy, Jyp | ||
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def J_rational_sparse(t, y, yp): | ||
Jy = -jac_rational_sparse(t, y) | ||
Jyp = identity(2) | ||
return Jy, Jyp | ||
# def J_rational_sparse(t, y, yp): | ||
# Jy = -jac_rational_sparse(t, y) | ||
# Jyp = identity(2) | ||
# return Jy, Jyp | ||
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def F_complex(t, y, yp): | ||
return yp - fun_complex(t, y) | ||
# def F_complex(t, y, yp): | ||
# return yp - fun_complex(t, y) | ||
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def J_complex(t, y, yp): | ||
Jy = -jac_complex(t, y) | ||
Jyp = np.eye(1) | ||
return Jy, Jyp | ||
# def J_complex(t, y, yp): | ||
# Jy = -jac_complex(t, y) | ||
# Jyp = np.eye(1) | ||
# return Jy, Jyp | ||
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def J_complex_sparse(t, y, yp): | ||
Jy = -jac_complex_sparse(t, y) | ||
Jyp = identity(1, dtype=np.common_type(y, yp)) | ||
return Jy, Jyp | ||
# def J_complex_sparse(t, y, yp): | ||
# Jy = -jac_complex_sparse(t, y) | ||
# Jyp = identity(1, dtype=np.common_type(y, yp)) | ||
# return Jy, Jyp | ||
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parameters_linear = product( | ||
["BDF"], # method | ||
[None, J_linear, J_linear_sparse] # jac | ||
) | ||
@pytest.mark.parametrize("method, jac", parameters_linear) | ||
def test_integration_const_jac(method, jac): | ||
rtol = 1e-3 | ||
atol = 1e-6 | ||
y0 = [0, 2] | ||
yp0 = fun_linear(0, y0) | ||
t_span = [0, 2] | ||
# parameters_linear = product( | ||
# ["BDF"], # method | ||
# [None, J_linear, J_linear_sparse] # jac | ||
# ) | ||
# @pytest.mark.parametrize("method, jac", parameters_linear) | ||
# def test_integration_const_jac(method, jac): | ||
# rtol = 1e-3 | ||
# atol = 1e-6 | ||
# y0 = [0, 2] | ||
# yp0 = fun_linear(0, y0) | ||
# t_span = [0, 2] | ||
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res = solve_dae(F_linear, t_span, y0, yp0, rtol=rtol, atol=atol, | ||
method=method, dense_output=True, jac=jac) | ||
# res = solve_dae(F_linear, t_span, y0, yp0, rtol=rtol, atol=atol, | ||
# method=method, dense_output=True, jac=jac) | ||
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assert_equal(res.t[0], t_span[0]) | ||
assert_(res.t_events is None) | ||
assert_(res.y_events is None) | ||
assert_(res.success) | ||
assert_equal(res.status, 0) | ||
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y_true = sol_linear(res.t) | ||
e = compute_error(res.y, y_true, rtol, atol) | ||
assert_(np.all(e < 5)) | ||
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# TODO: Get finite differences working with complex numbers. | ||
parameters_complex = product( | ||
["BDF"], # method | ||
[None, J_complex, J_complex_sparse] # jac | ||
) | ||
@pytest.mark.parametrize("method, jac", parameters_complex) | ||
def test_integration_complex(method, jac): | ||
rtol = 1e-3 | ||
atol = 1e-6 | ||
y0 = np.array([0.5 + 1j]) | ||
yp0 = fun_complex(0, y0) | ||
# print(F_complex(0, y0, yp0)) | ||
# exit() | ||
t_span = [0, 1] | ||
tc = np.linspace(t_span[0], t_span[1]) | ||
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res = solve_dae(F_complex, t_span, y0, yp0, rtol=rtol, atol=atol, | ||
method=method, dense_output=True, jac=jac) | ||
# assert_equal(res.t[0], t_span[0]) | ||
# assert_(res.t_events is None) | ||
# assert_(res.y_events is None) | ||
# assert_(res.success) | ||
# assert_equal(res.status, 0) | ||
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# y_true = sol_linear(res.t) | ||
# e = compute_error(res.y, y_true, rtol, atol) | ||
# assert_(np.all(e < 5)) | ||
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# # TODO: Get finite differences working with complex numbers. | ||
# parameters_complex = product( | ||
# ["BDF"], # method | ||
# [None, J_complex, J_complex_sparse] # jac | ||
# ) | ||
# @pytest.mark.parametrize("method, jac", parameters_complex) | ||
# def test_integration_complex(method, jac): | ||
# rtol = 1e-3 | ||
# atol = 1e-6 | ||
# y0 = np.array([0.5 + 1j]) | ||
# yp0 = fun_complex(0, y0) | ||
# # print(F_complex(0, y0, yp0)) | ||
# # exit() | ||
# t_span = [0, 1] | ||
# tc = np.linspace(t_span[0], t_span[1]) | ||
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# res = solve_dae(F_complex, t_span, y0, yp0, rtol=rtol, atol=atol, | ||
# method=method, dense_output=True, jac=jac) | ||
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assert_equal(res.t[0], t_span[0]) | ||
assert_(res.t_events is None) | ||
assert_(res.y_events is None) | ||
assert_(res.success) | ||
assert_equal(res.status, 0) | ||
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# assert res.nfev < 25 | ||
assert res.nfev < 29 | ||
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if method == 'BDF': | ||
assert_equal(res.njev, 1) | ||
assert res.nlu < 6 | ||
else: | ||
assert res.njev == 0 | ||
assert res.nlu == 0 | ||
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y_true = sol_complex(res.t) | ||
e = compute_error(res.y, y_true, rtol, atol) | ||
assert np.all(e < 5) | ||
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yc_true = sol_complex(tc) | ||
yc = res.sol(tc) | ||
e = compute_error(yc, yc_true, rtol, atol) | ||
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assert np.all(e < 5) | ||
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# TODO: Vectorization is not supported yet! | ||
parameters_rational = product( | ||
# [False, True], # vectorized | ||
[False,], # vectorized | ||
["BDF"], # method | ||
[[5, 9], [5, 1]], # t_span | ||
[None, J_rational, J_rational_sparse] # jac | ||
) | ||
@pytest.mark.parametrize("vectorized, method, t_span, jac", parameters_rational) | ||
def test_integration_rational(vectorized, method, t_span, jac): | ||
rtol = 1e-3 | ||
atol = 1e-6 | ||
y0 = [1/3, 2/9] | ||
yp0 = fun_rational(5, y0) | ||
# print(F_rational(5, y0, yp0)) | ||
# exit() | ||
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if vectorized: | ||
fun = F_rational_vectorized | ||
else: | ||
fun = F_rational | ||
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res = solve_dae(fun, t_span, y0, yp0, rtol=rtol, atol=atol, | ||
method=method, dense_output=True, jac=jac) | ||
# assert_equal(res.t[0], t_span[0]) | ||
# assert_(res.t_events is None) | ||
# assert_(res.y_events is None) | ||
# assert_(res.success) | ||
# assert_equal(res.status, 0) | ||
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# # assert res.nfev < 25 | ||
# assert res.nfev < 29 | ||
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# if method == 'BDF': | ||
# assert_equal(res.njev, 1) | ||
# assert res.nlu < 6 | ||
# else: | ||
# assert res.njev == 0 | ||
# assert res.nlu == 0 | ||
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# y_true = sol_complex(res.t) | ||
# e = compute_error(res.y, y_true, rtol, atol) | ||
# assert np.all(e < 5) | ||
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# yc_true = sol_complex(tc) | ||
# yc = res.sol(tc) | ||
# e = compute_error(yc, yc_true, rtol, atol) | ||
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# assert np.all(e < 5) | ||
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# # TODO: Vectorization is not supported yet! | ||
# parameters_rational = product( | ||
# # [False, True], # vectorized | ||
# [False,], # vectorized | ||
# ["BDF"], # method | ||
# [[5, 9], [5, 1]], # t_span | ||
# [None, J_rational, J_rational_sparse] # jac | ||
# ) | ||
# @pytest.mark.parametrize("vectorized, method, t_span, jac", parameters_rational) | ||
# def test_integration_rational(vectorized, method, t_span, jac): | ||
# rtol = 1e-3 | ||
# atol = 1e-6 | ||
# y0 = [1/3, 2/9] | ||
# yp0 = fun_rational(5, y0) | ||
# # print(F_rational(5, y0, yp0)) | ||
# # exit() | ||
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# if vectorized: | ||
# fun = F_rational_vectorized | ||
# else: | ||
# fun = F_rational | ||
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# res = solve_dae(fun, t_span, y0, yp0, rtol=rtol, atol=atol, | ||
# method=method, dense_output=True, jac=jac) | ||
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assert_equal(res.t[0], t_span[0]) | ||
assert_(res.t_events is None) | ||
assert_(res.y_events is None) | ||
assert_(res.success) | ||
assert_equal(res.status, 0) | ||
# assert_equal(res.t[0], t_span[0]) | ||
# assert_(res.t_events is None) | ||
# assert_(res.y_events is None) | ||
# assert_(res.success) | ||
# assert_equal(res.status, 0) | ||
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assert_(0 < res.njev < 3) | ||
assert_(0 < res.nlu < 10) | ||
# assert_(0 < res.njev < 3) | ||
# assert_(0 < res.nlu < 10) | ||
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y_true = sol_rational(res.t) | ||
e = compute_error(res.y, y_true, rtol, atol) | ||
assert_(np.all(e < 6)) | ||
# y_true = sol_rational(res.t) | ||
# e = compute_error(res.y, y_true, rtol, atol) | ||
# assert_(np.all(e < 6)) | ||
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tc = np.linspace(*t_span) | ||
yc_true = sol_rational(tc) | ||
yc = res.sol(tc) | ||
# tc = np.linspace(*t_span) | ||
# yc_true = sol_rational(tc) | ||
# yc = res.sol(tc) | ||
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e = compute_error(yc, yc_true, rtol, atol) | ||
assert_(np.all(e < 6)) | ||
# e = compute_error(yc, yc_true, rtol, atol) | ||
# assert_(np.all(e < 6)) | ||
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tc = (t_span[0] + t_span[-1]) / 2 | ||
yc_true = sol_rational(tc) | ||
yc = res.sol(tc) | ||
# tc = (t_span[0] + t_span[-1]) / 2 | ||
# yc_true = sol_rational(tc) | ||
# yc = res.sol(tc) | ||
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e = compute_error(yc, yc_true, rtol, atol) | ||
assert_(np.all(e < 5)) | ||
# e = compute_error(yc, yc_true, rtol, atol) | ||
# assert_(np.all(e < 5)) | ||
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assert_allclose(res.sol(res.t), res.y, rtol=1e-15, atol=1e-15) | ||
# assert_allclose(res.sol(res.t), res.y, rtol=1e-15, atol=1e-15) | ||
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if __name__ == "__main__": | ||
for params in parameters_linear: | ||
test_integration_const_jac(*params) | ||
# if __name__ == "__main__": | ||
# for params in parameters_linear: | ||
# test_integration_const_jac(*params) | ||
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for params in parameters_complex: | ||
test_integration_complex(*params) | ||
# for params in parameters_complex: | ||
# test_integration_complex(*params) | ||
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for params in parameters_rational: | ||
test_integration_rational(*params) | ||
# for params in parameters_rational: | ||
# test_integration_rational(*params) | ||
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pass |