From: Michael Orlitzky <michael@orlitzky.com>
Date: Wed, 12 Oct 2016 19:51:39 +0000 (-0400)
Subject: Add a test for the value of a positive operator on the nonnegative orthant.
X-Git-Tag: 0.1.0~155
X-Git-Url: https://gitweb.michael.orlitzky.com/?a=commitdiff_plain;h=1c7a9200a0e65869f46eda49682f76a4f134dccd;p=dunshire.git

Add a test for the value of a positive operator on the nonnegative orthant.
---

diff --git a/src/dunshire/games.py b/src/dunshire/games.py
index 76fbf7d..692a0ae 100644
--- a/src/dunshire/games.py
+++ b/src/dunshire/games.py
@@ -804,3 +804,21 @@ class SymmetricLinearGameTest(TestCase):
         """
         (L, K, e1, e2) = _random_icecream_params()
         self.assert_orthogonality(L, K, e1, e2)
+
+
+    def test_positive_operator_value(self):
+        """
+        Test that a positive operator on the nonnegative orthant gives
+        rise to a a game with a nonnegative value.
+
+        This test theoretically applies to the ice-cream cone as well,
+        but we don't know how to make positive operators on that cone.
+        """
+        (L, K, e1, e2) = _random_orthant_params()
+
+        # Make the entries of ``L`` nonnegative... this makes it a
+        # positive operator on ``K``.
+        L = [[abs(entry) for entry in row] for row in L]
+
+        game = SymmetricLinearGame(L, K, e1, e2)
+        self.assertTrue(game.solution().game_value() >= -options.ABS_TOL)