X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=test%2Fsymmetric_linear_game_test.py;h=b9c29fe68056f52da980443809e881ce6faa28ad;hb=0b6e486f52b6c42f78ba408543be0cc4b66fada7;hp=6327592b1268429e53cc54df757b275b5e894ad5;hpb=8371d92c42c7faded26d8ef327129ad6d8c72d73;p=dunshire.git diff --git a/test/symmetric_linear_game_test.py b/test/symmetric_linear_game_test.py index 6327592..b9c29fe 100644 --- a/test/symmetric_linear_game_test.py +++ b/test/symmetric_linear_game_test.py @@ -74,7 +74,7 @@ class SymmetricLinearGameTest(TestCase): # pylint: disable=R0904 s1 = s[0:G.dimension()] s2 = s[G.dimension():] self.assert_within_tol(norm(G.A()*x - G.b()), 0) - self.assertTrue((s1,s2) in G.C()) + self.assertTrue((s1, s2) in G.C()) def test_player1_start_valid_orthant(self): @@ -97,7 +97,7 @@ class SymmetricLinearGameTest(TestCase): # pylint: disable=R0904 z = G.player2_start()['z'] z1 = z[0:G.dimension()] z2 = z[G.dimension():] - self.assertTrue((z1,z2) in G.C()) + self.assertTrue((z1, z2) in G.C()) def test_player2_start_valid_orthant(self): @@ -137,9 +137,13 @@ class SymmetricLinearGameTest(TestCase): # pylint: disable=R0904 of the game by the same number. """ (alpha, H) = random_nn_scaling(G) - value1 = G.solution().game_value() - value2 = H.solution().game_value() - modifier = 4*max(abs(alpha), 1) + soln1 = G.solution() + soln2 = H.solution() + value1 = soln1.game_value() + value2 = soln2.game_value() + modifier1 = G.tolerance_scale(soln1) + modifier2 = H.tolerance_scale(soln2) + modifier = max(modifier1, modifier2) self.assert_within_tol(alpha*value1, value2, modifier) @@ -178,7 +182,7 @@ class SymmetricLinearGameTest(TestCase): # pylint: disable=R0904 (alpha, H) = random_translation(G) value2 = H.solution().game_value() - modifier = 4*max(abs(alpha), 1) + modifier = G.tolerance_scale(soln1) self.assert_within_tol(value1 + alpha, value2, modifier) # Make sure the same optimal pair works. @@ -221,14 +225,12 @@ class SymmetricLinearGameTest(TestCase): # pylint: disable=R0904 y_bar = soln1.player2_optimal() soln2 = H.solution() - # The modifier of 4 is because each could be off by 2*ABS_TOL, - # which is how far apart the primal/dual objectives have been - # observed being. - self.assert_within_tol(-soln1.game_value(), soln2.game_value(), 4) + mod = G.tolerance_scale(soln1) + self.assert_within_tol(-soln1.game_value(), soln2.game_value(), mod) # Make sure the switched optimal pair works. Since x_bar and # y_bar come from G, we use the same modifier. - self.assert_within_tol(soln2.game_value(), H.payoff(y_bar, x_bar), 4) + self.assert_within_tol(soln2.game_value(), H.payoff(y_bar, x_bar), mod) @@ -263,13 +265,9 @@ class SymmetricLinearGameTest(TestCase): # pylint: disable=R0904 ip1 = inner_product(y_bar, G.L()*x_bar - value*G.e1()) ip2 = inner_product(value*G.e2() - G.L().trans()*y_bar, x_bar) - # 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) + modifier = G.tolerance_scale(soln) + self.assert_within_tol(ip1, 0, modifier) + self.assert_within_tol(ip2, 0, modifier) def test_orthogonality_orthant(self): @@ -325,11 +323,9 @@ class SymmetricLinearGameTest(TestCase): # pylint: disable=R0904 negative_stable = all([eig < options.ABS_TOL for eig in eigs]) self.assertTrue(negative_stable) - # The dual game's value should always equal the primal's. - # The modifier of 4 is because even though the games are dual, - # CVXOPT doesn't know that, and each could be off by 2*ABS_TOL. dualsoln = G.dual().solution() - self.assert_within_tol(dualsoln.game_value(), soln.game_value(), 4) + mod = G.tolerance_scale(soln) + self.assert_within_tol(dualsoln.game_value(), soln.game_value(), mod) def test_lyapunov_orthant(self):