X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=test%2Fsymmetric_linear_game_test.py;h=1e7194b6bf08e50c1739539469a36279d866f8c1;hb=e22adb2af08288282c3f085eb7a43ab131577bfe;hp=04b85455ac94cb7d76719a7ab8b6a3629a8bc6ef;hpb=797971a93a7e952a6ca92b7a618665a21d61e339;p=dunshire.git diff --git a/test/symmetric_linear_game_test.py b/test/symmetric_linear_game_test.py index 04b8545..1e7194b 100644 --- a/test/symmetric_linear_game_test.py +++ b/test/symmetric_linear_game_test.py @@ -5,7 +5,7 @@ Unit tests for the :class:`SymmetricLinearGame` class. from unittest import TestCase from dunshire.games import SymmetricLinearGame -from dunshire.matrices import eigenvalues_re, inner_product +from dunshire.matrices import eigenvalues_re, inner_product, norm from dunshire import options from .randomgen import (random_icecream_game, random_ll_icecream_game, random_ll_orthant_game, random_nn_scaling, @@ -42,6 +42,31 @@ class SymmetricLinearGameTest(TestCase): # pylint: disable=R0904 self.assertTrue(abs(first - second) < options.ABS_TOL*modifier) + def test_solutions_dont_change_orthant(self): + G = random_orthant_game() + self.assert_solutions_dont_change(G) + + def test_solutions_dont_change_icecream(self): + G = random_icecream_game() + self.assert_solutions_dont_change(G) + + def assert_solutions_dont_change(self, G): + """ + If we solve the same problem twice, we should get + the same answer both times. + """ + soln1 = G.solution() + soln2 = G.solution() + p1_diff = norm(soln1.player1_optimal() - soln2.player1_optimal()) + p2_diff = norm(soln1.player2_optimal() - soln2.player2_optimal()) + gv_diff = abs(soln1.game_value() - soln2.game_value()) + + p1_close = p1_diff < options.ABS_TOL + p2_close = p2_diff < options.ABS_TOL + gv_close = gv_diff < options.ABS_TOL + + self.assertTrue(p1_close and p2_close and gv_close) + def test_condition_lower_bound(self): """ @@ -188,10 +213,15 @@ class SymmetricLinearGameTest(TestCase): # pylint: disable=R0904 value = soln.game_value() ip1 = inner_product(y_bar, G.L()*x_bar - value*G.e1()) - self.assert_within_tol(ip1, 0) - ip2 = inner_product(value*G.e2() - G.L().trans()*y_bar, x_bar) - self.assert_within_tol(ip2, 0) + + # Huh.. well, y_bar and x_bar can each be epsilon away, but + # x_bar is scaled by L, so that's (norm(L) + 1), and then + # value could be off by epsilon, so that's another norm(e1) or + # norm(e2). On the other hand, this test seems to pass most of + # the time even with a modifier of one. How about.. four? + self.assert_within_tol(ip1, 0, 4) + self.assert_within_tol(ip2, 0, 4) def test_orthogonality_orthant(self):