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import unittest
from polymatrix.polystruct import init_equation, init_poly_matrix, init_poly_vector
from polymatrix.utils import variable_to_index
class TestPolyMatrix(unittest.TestCase):
@staticmethod
def assert_term_in_eq(terms, degree, eq_idx, row_idx, value, monoms=None):
if monoms is None:
monoms = tuple()
assert degree in terms, f'could not find {degree} in {terms}'
degree_terms = terms[degree]
key = eq_idx, monoms
assert key in degree_terms, f'could not find {key} in {degree_terms}'
eq_terms = degree_terms[key]
assert row_idx in eq_terms, f'could not find {row_idx} in {eq_terms}'
assert eq_terms[row_idx] == value, f'value {eq_terms[row_idx]} and {value} do not match'
def test_param_matrix_param_vector_degree_0(self):
"""
param = [a11 a21 a31 a41 v11 v21]
"""
mat = init_poly_matrix(degrees=(0,))
vec = init_poly_vector(degrees=(0,))
n_param = 6
eq = init_equation(
terms = [(mat, vec)],
n_var = 2,
)
terms, offset_dict = list(eq.create())
# a11 v11
self.assert_term_in_eq(
terms = terms,
degree = 2,
eq_idx = 0,
row_idx = variable_to_index(n_param, (offset_dict[(mat, 0)], offset_dict[(vec, 0)])),
value = 1,
)
# a21 v11
self.assert_term_in_eq(
terms = terms,
degree = 2,
eq_idx = 1,
row_idx = variable_to_index(n_param, (offset_dict[(mat, 0)]+2, offset_dict[(vec, 0)])),
value = 1,
)
def test_param_matrix_param_vector_degree_01(self):
"""
param = [a11 a21 a31 a41 v011 v021 v111 v112 v121 v122]
"""
mat = init_poly_matrix(degrees=(0,))
vec = init_poly_vector(degrees=(0,1))
n_param = 10
eq = init_equation(
terms = [(mat, vec)],
n_var = 2,
)
terms, offset_dict = list(eq.create())
# a11 v011
self.assert_term_in_eq(
terms = terms,
degree = 2,
eq_idx = 0,
row_idx = variable_to_index(n_param, (offset_dict[(mat, 0)], offset_dict[(vec, 0)])),
value = 1,
)
# a11 v011
self.assert_term_in_eq(
terms = terms,
degree = 2,
eq_idx = 0,
monoms=(0,),
row_idx = variable_to_index(n_param, (offset_dict[(mat, 0)], offset_dict[(vec, 1)])),
value = 1,
)
def test_param_matrix_const_vector_degree_0(self):
"""
param = [a11 a21 a31 a41]
"""
mat = init_poly_matrix(degrees=(0,))
vec = init_poly_vector(subs={0: {(0, 0): 1, (1, 0): 1}})
eq = init_equation(
terms = [(mat, vec)],
n_var = 2,
)
terms, offset_dict = list(eq.create())
# a11
self.assert_term_in_eq(
terms = terms,
degree = 1,
eq_idx = 0,
row_idx = offset_dict[(mat, 0)],
value = 1,
)
def test_const_matrix_const_vector_degree_0(self):
"""
param = [a11 a21 a31 a41]
"""
mat = init_poly_matrix(subs={0: {(0, 0): 1, (1, 0): 1, (0, 1): 1, (1, 1): 1}})
vec = init_poly_vector(subs={0: {(0, 0): 1, (1, 0): 1}})
eq = init_equation(
terms = [(mat, vec)],
n_var = 2,
)
terms, offset_dict = list(eq.create())
self.assert_term_in_eq(
terms = terms,
degree = 0,
eq_idx = 0,
row_idx = 0,
value = 2,
)
def test_param_matrix_const_vector_skew_symmetric(self):
"""
param = [a11 a21 a31 a41]
"""
def skew_symmetric(idx1, idx2):
if idx1 == idx2:
return idx1, idx2, 0
elif idx2 < idx1:
return idx2, idx1, -1
mat = init_poly_matrix(
degrees=(0,),
re_index_func=skew_symmetric,
)
vec = init_poly_vector(subs={0: {(0, 0): 1, (1, 0): 1}})
eq = init_equation(
terms = [(mat, vec)],
n_var = 2,
)
terms, offset_dict = list(eq.create())
self.assert_term_in_eq(
terms = terms,
degree = 1,
eq_idx = 0,
row_idx = offset_dict[(mat, 0)] + 1,
value = 1,
)
self.assert_term_in_eq(
terms = terms,
degree = 1,
eq_idx = 1,
row_idx = offset_dict[(mat, 0)] + 1,
value = -1,
)
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