From: Michael Orlitzky <michael@orlitzky.com>
Date: Thu, 13 Oct 2016 00:30:32 +0000 (-0400)
Subject: Refactor the random matrix functions a bit.
X-Git-Tag: 0.1.0~153
X-Git-Url: https://gitweb.michael.orlitzky.com/?a=commitdiff_plain;h=a5ecd81c2b98bb38bfee58507f1b4360033ad480;p=dunshire.git

Refactor the random matrix functions a bit.
---

diff --git a/src/dunshire/games.py b/src/dunshire/games.py
index 692a0ae..65fc791 100644
--- a/src/dunshire/games.py
+++ b/src/dunshire/games.py
@@ -504,7 +504,7 @@ class SymmetricLinearGame:
 
 
 
-def _random_square_matrix(dims):
+def _random_matrix(dims):
     """
     Generate a random square (``dims``-by-``dims``) matrix,
     represented as a list of rows. This is used only by the
@@ -512,6 +512,23 @@ def _random_square_matrix(dims):
     """
     return [[uniform(-10, 10) for i in range(dims)] for j in range(dims)]
 
+def _random_nonnegative_matrix(dims):
+    """
+    Generate a random square (``dims``-by-``dims``) matrix with
+    nonnegative entries, represented as a list of rows. This is used
+    only by the :class:`SymmetricLinearGameTest` class.
+    """
+    L = _random_matrix(dims)
+    return [[abs(entry) for entry in row] for row in L]
+
+def _random_diagonal_matrix(dims):
+    """
+    Generate a random square (``dims``-by-``dims``) matrix with nonzero
+    entries only on the diagonal, represented as a list of rows. This is
+    used only by the :class:`SymmetricLinearGameTest` class.
+    """
+    return [[uniform(-10, 10)*int(i == j) for i in range(dims)]
+            for j in range(dims)]
 
 def _random_orthant_params():
     """
@@ -523,7 +540,7 @@ def _random_orthant_params():
     K = NonnegativeOrthant(ambient_dim)
     e1 = [uniform(0.5, 10) for idx in range(K.dimension())]
     e2 = [uniform(0.5, 10) for idx in range(K.dimension())]
-    L = _random_square_matrix(K.dimension())
+    L = _random_matrix(K.dimension())
     return (L, K, e1, e2)
 
 
@@ -550,7 +567,7 @@ def _random_icecream_params():
     fudge_factor = 1.0 / (2.0*sqrt(K.dimension() - 1.0))
     e1 += [fudge_factor*uniform(0, 1) for idx in range(K.dimension() - 1)]
     e2 += [fudge_factor*uniform(0, 1) for idx in range(K.dimension() - 1)]
-    L = _random_square_matrix(K.dimension())
+    L = _random_matrix(K.dimension())
 
     return (L, K, e1, e2)
 
@@ -814,11 +831,10 @@ class SymmetricLinearGameTest(TestCase):
         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()
+        (_, 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]
+        # Ignore that L, we need a nonnegative one.
+        L = _random_nonnegative_matrix(K.dimension())
 
         game = SymmetricLinearGame(L, K, e1, e2)
         self.assertTrue(game.solution().game_value() >= -options.ABS_TOL)