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| -rw-r--r-- | test_polymatrix/test_polymatrix.py | 176 |
1 files changed, 176 insertions, 0 deletions
diff --git a/test_polymatrix/test_polymatrix.py b/test_polymatrix/test_polymatrix.py new file mode 100644 index 0000000..1f0bb73 --- /dev/null +++ b/test_polymatrix/test_polymatrix.py @@ -0,0 +1,176 @@ +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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