Add a test for the lineality of the cone of positive operators.

diff --git a/mjo/cone/cone.py b/mjo/cone/cone.py
index e9d70e42ef61e0b44d492e6d46687f383ab8b1c6..8f8f0d21375b00d2c9e11c1c3b725f3f3d9ea787 100644 (file)
--- a/mjo/cone/cone.py
+++ b/mjo/cone/cone.py
@@ -197,6 +197,18 @@ def positive_operator_gens(K):
         sage: actual == expected
         True
 
+    The lineality of the cone of positive operators is given by the
+    corollary in my paper::
+
+        sage: set_random_seed()
+        sage: K = random_cone(max_ambient_dim = 5)
+        sage: n = K.lattice_dim()
+        sage: pi_of_K = positive_operator_gens(K)
+        sage: L = ToricLattice(n**2)
+        sage: actual = Cone([p.list() for p in pi_of_K], lattice=L).lineality()
+        sage: expected = n**2 - K.dim()*K.dual().dim()
+        sage: actual == expected
+        True
     """
     # Matrices are not vectors in Sage, so we have to convert them
     # to vectors explicitly before we can find a basis. We need these