diff options
Diffstat (limited to 'test_polymatrix')
-rw-r--r-- | test_polymatrix/test_polymatrix.py | 243 |
1 files changed, 168 insertions, 75 deletions
diff --git a/test_polymatrix/test_polymatrix.py b/test_polymatrix/test_polymatrix.py index 3b239bf..f693df0 100644 --- a/test_polymatrix/test_polymatrix.py +++ b/test_polymatrix/test_polymatrix.py @@ -1,114 +1,195 @@ import unittest -from polymatrix.polystruct import init_equation, init_poly_matrix, init_poly_vector +from polymatrix.polystruct import init_equation, init_poly_matrix 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): + def assert_term_in_eq(result, 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] + assert degree in result.terms, f'could not find {degree} in {result.terms}' + degree_terms = result.terms[degree] - key = eq_idx, monoms + key = eq_idx, monoms, row_idx assert key in degree_terms, f'could not find {key} in {degree_terms}' - eq_terms = degree_terms[key] + # eq_terms = degree_terms[key] + # assert row_idx in eq_terms, f'could not find {row_idx} in {eq_terms}' + assert degree_terms[key] == value, f'value {degree_terms[key]} and {value} do not match' - 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): + def test_param_matrix_param_d0_vector_degree_d0(self): """ param = [a11 a21 a31 a41 v11 v21] """ - mat = init_poly_matrix(degrees=(0,)) - vec = init_poly_vector(degrees=(0,)) - n_param = 6 + n_var = 2 + + mat = init_poly_matrix(degrees=(0,), shape=(n_var, n_var)) + vec = init_poly_matrix(degrees=(0,), shape=(n_var, 1)) eq = init_equation( terms = [(mat, vec)], - n_var = 2, + n_var = n_var, ) - terms, offset_dict = list(eq.create()) + result = eq.create() + offset_dict = eq.offset_dict # a11 v11 self.assert_term_in_eq( - terms = terms, + result = result, + degree = 2, + eq_idx = 0, + row_idx = (offset_dict[(mat, 0)], offset_dict[(vec, 0)]), + value = 1, + ) + + # a12 v21 + self.assert_term_in_eq( + result = result, degree = 2, eq_idx = 0, - row_idx = variable_to_index(n_param, (offset_dict[(mat, 0)], offset_dict[(vec, 0)])), + row_idx = (offset_dict[(mat, 0)]+2, offset_dict[(vec, 0)]+1), value = 1, ) # a21 v11 self.assert_term_in_eq( - terms = terms, + result = result, degree = 2, eq_idx = 1, - row_idx = variable_to_index(n_param, (offset_dict[(mat, 0)]+2, offset_dict[(vec, 0)])), + row_idx = (offset_dict[(mat, 0)]+1, offset_dict[(vec, 0)]), value = 1, ) - def test_param_matrix_param_vector_degree_01(self): + # a22 v21 + self.assert_term_in_eq( + result = result, + degree = 2, + eq_idx = 1, + row_idx = (offset_dict[(mat, 0)]+3, offset_dict[(vec, 0)]+1), + value = 1, + ) + + def test_param_matrix_d0_param_vector_d01(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 + n_var = 2 + + mat = init_poly_matrix(degrees=(0,), shape=(n_var, n_var)) + vec = init_poly_matrix(degrees=(0,1), shape=(n_var, 1)) eq = init_equation( terms = [(mat, vec)], - n_var = 2, + n_var = n_var, ) - terms, offset_dict = list(eq.create()) + result = eq.create() + offset_dict = eq.offset_dict # a11 v011 self.assert_term_in_eq( - terms = terms, + result = result, degree = 2, eq_idx = 0, - row_idx = variable_to_index(n_param, (offset_dict[(mat, 0)], offset_dict[(vec, 0)])), + row_idx = (offset_dict[(mat, 0)], offset_dict[(vec, 0)]), value = 1, ) # a11 v011 self.assert_term_in_eq( - terms = terms, + result = result, degree = 2, eq_idx = 0, monoms=(0,), - row_idx = variable_to_index(n_param, (offset_dict[(mat, 0)], offset_dict[(vec, 1)])), + row_idx = (offset_dict[(mat, 0)], offset_dict[(vec, 1)]), + value = 1, + ) + + def test_param_matrix_d0_const_vector_d0(self): + """ + param = [a11 a21 a31 a41] + """ + + n_var = 2 + + mat = init_poly_matrix(degrees=(0,), shape=(n_var, n_var)) + vec = init_poly_matrix(subs={0: {(0, 0, 0): 1, (1, 0, 0): 1}}, shape=(n_var, 1)) + + eq = init_equation( + terms = [(mat, vec)], + n_var = n_var, + ) + + result = eq.create() + offset_dict = eq.offset_dict + + # a11 + self.assert_term_in_eq( + result = result, + degree = 1, + eq_idx = 0, + row_idx = (offset_dict[(mat, 0)],), value = 1, ) - def test_param_matrix_const_vector_degree_0(self): + # a21 + self.assert_term_in_eq( + result = result, + degree = 1, + eq_idx = 1, + row_idx = (offset_dict[(mat, 0)]+1,), + value = 1, + ) + + def test_param_matrix_d0_const_vector_d1(self): """ param = [a11 a21 a31 a41] """ - mat = init_poly_matrix(degrees=(0,)) - vec = init_poly_vector(subs={0: {(0, 0): 1, (1, 0): 1}}) + n_var = 2 + + mat = init_poly_matrix(degrees=(0,), shape=(n_var, n_var)) + vec = init_poly_matrix(subs={1: {(0, 0, 0): 1, (0, 0, 1): 0, (1, 0, 0): 0, (1, 0, 1): 1}}, shape=(n_var, 1)) eq = init_equation( terms = [(mat, vec)], - n_var = 2, + n_var = n_var, ) - terms, offset_dict = list(eq.create()) + result = eq.create() + offset_dict = eq.offset_dict # a11 self.assert_term_in_eq( - terms = terms, + result = result, degree = 1, eq_idx = 0, - row_idx = offset_dict[(mat, 0)], + monoms=(0,), + row_idx = (offset_dict[(mat, 0)],), + value = 1, + ) + + # a12 + self.assert_term_in_eq( + result = result, + degree = 1, + eq_idx = 0, + monoms=(1,), + row_idx = (offset_dict[(mat, 0)]+2,), + value = 1, + ) + + # a21 + self.assert_term_in_eq( + result = result, + degree = 1, + eq_idx = 1, + monoms=(0,), + row_idx = (offset_dict[(mat, 0)]+1,), value = 1, ) @@ -117,21 +198,24 @@ class TestPolyMatrix(unittest.TestCase): 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}}) + n_var = 2 + + mat = init_poly_matrix(subs={0: {(0, 0, 0): 1, (0, 1, 0): 1, (1, 0, 0): 1, (1, 1, 0): 1}}, shape=(n_var, n_var)) + vec = init_poly_matrix(subs={0: {(0, 0, 0): 1, (1, 0, 0): 1}}, shape=(n_var, 1)) eq = init_equation( terms = [(mat, vec)], - n_var = 2, + n_var = n_var, ) - terms, offset_dict = list(eq.create()) + result = eq.create() + offset_dict = eq.offset_dict self.assert_term_in_eq( - terms = terms, + result = result, degree = 0, eq_idx = 0, - row_idx = 0, + row_idx = tuple(), value = 2, ) @@ -140,98 +224,107 @@ class TestPolyMatrix(unittest.TestCase): param = [a11 a21 a31 a41] """ - def skew_symmetric(degree, idx1, idx2): - if idx1 == idx2: - return idx1, idx2, 0 - elif idx2 < idx1: - return idx2, idx1, -1 + def skew_symmetric(degree, poly_row, poly_col, monom): + if poly_row == poly_col: + return poly_row, poly_col, monom, 0 + elif poly_col < poly_row: + return poly_col, poly_row, monom, -1 + + n_var = 2 mat = init_poly_matrix( degrees=(0,), - re_index_func=skew_symmetric, + re_index=skew_symmetric, + shape=(n_var, n_var), ) - vec = init_poly_vector(subs={0: {(0, 0): 1, (1, 0): 1}}) + vec = init_poly_matrix(subs={0: {(0, 0, 0): 1, (1, 0, 0): 1}}, shape=(n_var, 1)) eq = init_equation( terms = [(mat, vec)], - n_var = 2, + n_var = n_var, ) - terms, offset_dict = list(eq.create()) + result = eq.create() + offset_dict = eq.offset_dict self.assert_term_in_eq( - terms = terms, + result = result, degree = 1, eq_idx = 0, - row_idx = offset_dict[(mat, 0)] + 1, + row_idx = (offset_dict[(mat, 0)] + 2,), value = 1, ) self.assert_term_in_eq( - terms = terms, + result = result, degree = 1, eq_idx = 1, - row_idx = offset_dict[(mat, 0)] + 1, + row_idx = (offset_dict[(mat, 0)] + 2,), value = -1, ) - def test_const_matrix_param_gradient_vector(self): + def test_const_matrix_d0_param_gradient_vector_d1(self): """ param = [v11 v12 v21 v22] """ - def gradient(degree, v_row, monom): + def gradient(degree, p_row, p_col, monom): if degree == 1: - factor = sum(v_row==e for e in monom) + 1 + factor = sum(p_row==e for e in monom) + 1 - if monom[-1] < v_row: - n_v_row = monom[-1] - n_monom = sorted(monom + (v_row,), reverse=True) + if monom[-1] < p_row: + n_p_row = monom[-1] + n_monom = sorted(monom + (p_row,), reverse=True) - if v_row <= monom[-1]: - n_v_row = v_row + if p_row <= monom[-1]: + n_p_row = p_row n_monom = monom - return n_v_row, n_monom, factor + return n_p_row, p_col, n_monom, factor + + n_var = 2 mat = init_poly_matrix( - subs={0: {(0, 0): 1, (1, 0): 1, (0, 1): 1, (1, 1): 1}}, + subs={0: {(0, 0, 0): 1, (0, 1, 0): 1, (1, 0, 0): 1, (1, 1, 0): 1}}, + shape=(n_var, n_var), ) - vec = init_poly_vector( + vec = init_poly_matrix( degrees=(1,), - re_index_func_2=gradient, + re_index=gradient, + shape=(n_var, 1), ) eq = init_equation( terms = [(mat, vec)], - n_var = 2, + n_var = n_var, ) - terms, offset_dict = list(eq.create()) + result = eq.create() + offset_dict = eq.offset_dict self.assert_term_in_eq( - terms = terms, + result = result, degree = 1, monoms=(0,), eq_idx = 0, - row_idx = offset_dict[(vec, 1)], + row_idx = (offset_dict[(vec, 1)],), value = 2, ) self.assert_term_in_eq( - terms = terms, + result = result, degree = 1, monoms=(1,), eq_idx = 0, - row_idx = offset_dict[(vec, 1)]+1, + row_idx = (offset_dict[(vec, 1)]+2,), value = 1, ) self.assert_term_in_eq( - terms = terms, + result = result, degree = 1, monoms=(0,), eq_idx = 1, - row_idx = offset_dict[(vec, 1)]+1, + row_idx = (offset_dict[(vec, 1)]+2,), value = 1, ) |