pybind11/tests/test_eigen.py

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import pytest
with pytest.suppress(ImportError):
import numpy as np
ref = np.array([[ 0, 3, 0, 0, 0, 11],
[22, 0, 0, 0, 17, 11],
[ 7, 5, 0, 1, 0, 11],
[ 0, 0, 0, 0, 0, 11],
[ 0, 0, 14, 0, 8, 11]])
def assert_equal_ref(mat):
np.testing.assert_array_equal(mat, ref)
def assert_sparse_equal_ref(sparse_mat):
assert_equal_ref(sparse_mat.todense())
@pytest.requires_eigen_and_numpy
def test_fixed():
from pybind11_tests import fixed_r, fixed_c, fixed_passthrough_r, fixed_passthrough_c
assert_equal_ref(fixed_c())
assert_equal_ref(fixed_r())
assert_equal_ref(fixed_passthrough_r(fixed_r()))
assert_equal_ref(fixed_passthrough_c(fixed_c()))
assert_equal_ref(fixed_passthrough_r(fixed_c()))
assert_equal_ref(fixed_passthrough_c(fixed_r()))
@pytest.requires_eigen_and_numpy
def test_dense():
from pybind11_tests import dense_r, dense_c, dense_passthrough_r, dense_passthrough_c
assert_equal_ref(dense_r())
assert_equal_ref(dense_c())
assert_equal_ref(dense_passthrough_r(dense_r()))
assert_equal_ref(dense_passthrough_c(dense_c()))
assert_equal_ref(dense_passthrough_r(dense_c()))
assert_equal_ref(dense_passthrough_c(dense_r()))
@pytest.requires_eigen_and_numpy
def test_partially_fixed():
from pybind11_tests import partial_passthrough_four_rm_r, partial_passthrough_four_rm_c, partial_passthrough_four_cm_r, partial_passthrough_four_cm_c
ref2 = np.array([[0,1,2,3], [4,5,6,7], [8,9,10,11], [12,13,14,15]])
np.testing.assert_array_equal(partial_passthrough_four_rm_r(ref2), ref2)
np.testing.assert_array_equal(partial_passthrough_four_rm_c(ref2), ref2)
np.testing.assert_array_equal(partial_passthrough_four_rm_r(ref2[:, 1]), ref2[:, [1]])
np.testing.assert_array_equal(partial_passthrough_four_rm_c(ref2[0, :]), ref2[[0], :])
np.testing.assert_array_equal(partial_passthrough_four_rm_r(ref2[:, (0, 2)]), ref2[:, (0,2)])
np.testing.assert_array_equal(partial_passthrough_four_rm_c(ref2[(3,1,2), :]), ref2[(3,1,2), :])
np.testing.assert_array_equal(partial_passthrough_four_cm_r(ref2), ref2)
np.testing.assert_array_equal(partial_passthrough_four_cm_c(ref2), ref2)
np.testing.assert_array_equal(partial_passthrough_four_cm_r(ref2[:, 1]), ref2[:, [1]])
np.testing.assert_array_equal(partial_passthrough_four_cm_c(ref2[0, :]), ref2[[0], :])
np.testing.assert_array_equal(partial_passthrough_four_cm_r(ref2[:, (0, 2)]), ref2[:, (0,2)])
np.testing.assert_array_equal(partial_passthrough_four_cm_c(ref2[(3,1,2), :]), ref2[(3,1,2), :])
@pytest.requires_eigen_and_numpy
def test_nonunit_stride_from_python():
from pybind11_tests import double_row, double_col, double_mat_cm, double_mat_rm
counting_mat = np.arange(9.0, dtype=np.float32).reshape((3, 3))
first_row = counting_mat[0, :]
first_col = counting_mat[:, 0]
np.testing.assert_array_equal(double_row(first_row), 2.0 * first_row)
np.testing.assert_array_equal(double_col(first_row), 2.0 * first_row)
np.testing.assert_array_equal(double_row(first_col), 2.0 * first_col)
np.testing.assert_array_equal(double_col(first_col), 2.0 * first_col)
counting_3d = np.arange(27.0, dtype=np.float32).reshape((3, 3, 3))
slices = [counting_3d[0, :, :], counting_3d[:, 0, :], counting_3d[:, :, 0]]
for slice_idx, ref_mat in enumerate(slices):
np.testing.assert_array_equal(double_mat_cm(ref_mat), 2.0 * ref_mat)
np.testing.assert_array_equal(double_mat_rm(ref_mat), 2.0 * ref_mat)
@pytest.requires_eigen_and_numpy
def test_nonunit_stride_to_python():
from pybind11_tests import diagonal, diagonal_1, diagonal_n, block
assert np.all(diagonal(ref) == ref.diagonal())
assert np.all(diagonal_1(ref) == ref.diagonal(1))
for i in range(-5, 7):
assert np.all(diagonal_n(ref, i) == ref.diagonal(i)), "diagonal_n({})".format(i)
assert np.all(block(ref, 2, 1, 3, 3) == ref[2:5, 1:4])
assert np.all(block(ref, 1, 4, 4, 2) == ref[1:, 4:])
assert np.all(block(ref, 1, 4, 3, 2) == ref[1:4, 4:])
@pytest.requires_eigen_and_numpy
def test_eigen_ref_to_python():
from pybind11_tests import cholesky1, cholesky2, cholesky3, cholesky4, cholesky5, cholesky6
chols = [cholesky1, cholesky2, cholesky3, cholesky4, cholesky5, cholesky6]
for i, chol in enumerate(chols, start=1):
mymat = chol(np.array([[1, 2, 4], [2, 13, 23], [4, 23, 77]]))
assert np.all(mymat == np.array([[1, 0, 0], [2, 3, 0], [4, 5, 6]])), "cholesky{}".format(i)
@pytest.requires_eigen_and_numpy
def test_special_matrix_objects():
from pybind11_tests import incr_diag, symmetric_upper, symmetric_lower
assert np.all(incr_diag(7) == np.diag([1, 2, 3, 4, 5, 6, 7]))
asymm = np.array([[ 1, 2, 3, 4],
[ 5, 6, 7, 8],
[ 9, 10, 11, 12],
[13, 14, 15, 16]])
symm_lower = np.array(asymm)
symm_upper = np.array(asymm)
for i in range(4):
for j in range(i + 1, 4):
symm_lower[i, j] = symm_lower[j, i]
symm_upper[j, i] = symm_upper[i, j]
assert np.all(symmetric_lower(asymm) == symm_lower)
assert np.all(symmetric_upper(asymm) == symm_upper)
@pytest.requires_eigen_and_numpy
def test_dense_signature(doc):
from pybind11_tests import double_col, double_row, double_mat_rm
assert doc(double_col) == """
double_col(arg0: numpy.ndarray[float32[m, 1]]) -> numpy.ndarray[float32[m, 1]]
"""
assert doc(double_row) == """
double_row(arg0: numpy.ndarray[float32[1, n]]) -> numpy.ndarray[float32[1, n]]
"""
assert doc(double_mat_rm) == """
double_mat_rm(arg0: numpy.ndarray[float32[m, n]]) -> numpy.ndarray[float32[m, n]]
"""
@pytest.requires_eigen_and_scipy
def test_sparse():
from pybind11_tests import sparse_r, sparse_c, sparse_passthrough_r, sparse_passthrough_c
assert_sparse_equal_ref(sparse_r())
assert_sparse_equal_ref(sparse_c())
assert_sparse_equal_ref(sparse_passthrough_r(sparse_r()))
assert_sparse_equal_ref(sparse_passthrough_c(sparse_c()))
assert_sparse_equal_ref(sparse_passthrough_r(sparse_c()))
assert_sparse_equal_ref(sparse_passthrough_c(sparse_r()))
@pytest.requires_eigen_and_scipy
def test_sparse_signature(doc):
from pybind11_tests import sparse_passthrough_r, sparse_passthrough_c
assert doc(sparse_passthrough_r) == """
sparse_passthrough_r(arg0: scipy.sparse.csr_matrix[float32]) -> scipy.sparse.csr_matrix[float32]
""" # noqa: E501 line too long
assert doc(sparse_passthrough_c) == """
sparse_passthrough_c(arg0: scipy.sparse.csc_matrix[float32]) -> scipy.sparse.csc_matrix[float32]
""" # noqa: E501 line too long