From: Michael Orlitzky <michael@orlitzky.com>
Date: Fri, 12 Jun 2015 22:25:00 +0000 (-0400)
Subject: Remove unused codim() function.
X-Git-Url: https://gitweb.michael.orlitzky.com/?a=commitdiff_plain;h=4418c497a443fb1f5cb068ced5a2ddd5a9a0ad05;p=sage.d.git

Remove unused codim() function.
---

diff --git a/mjo/cone/cone.py b/mjo/cone/cone.py
index 8adc51c..f5371d6 100644
--- a/mjo/cone/cone.py
+++ b/mjo/cone/cone.py
@@ -408,100 +408,6 @@ def lineality(K):
     return K.linear_subspace().dimension()
 
 
-def codim(K):
-    r"""
-    Compute the codimension of this cone.
-
-    The codimension of a cone is the dimension of the space of all
-    elements perpendicular to every element of the cone. In other words,
-    the codimension is the difference between the dimension of the
-    ambient space and the dimension of the cone itself.
-
-    OUTPUT:
-
-    A nonnegative integer representing the dimension of the space of all
-    elements perpendicular to this cone.
-
-    .. seealso::
-
-        :meth:`dim`, :meth:`lattice_dim`
-
-    EXAMPLES:
-
-    The codimension of the nonnegative orthant is zero, since the span of
-    its generators equals the entire ambient space::
-
-        sage: K = Cone([(1,0,0), (0,1,0), (0,0,1)])
-        sage: codim(K)
-        0
-
-    However, if we remove a ray so that the entire cone is contained
-    within the `x-y`-plane, then the resulting cone will have
-    codimension one, because the `z`-axis is perpendicular to every
-    element of the cone::
-
-        sage: K = Cone([(1,0,0), (0,1,0)])
-        sage: codim(K)
-        1
-
-    If our cone is all of `\mathbb{R}^{2}`, then its codimension is zero::
-
-        sage: K = Cone([(1,0), (-1,0), (0,1), (0,-1)])
-        sage: codim(K)
-        0
-
-    And if the cone is trivial in any space, then its codimension is
-    equal to the dimension of the ambient space::
-
-        sage: K = Cone([], lattice=ToricLattice(0))
-        sage: K.lattice_dim()
-        0
-        sage: codim(K)
-        0
-
-        sage: K = Cone([(0,)])
-        sage: K.lattice_dim()
-        1
-        sage: codim(K)
-        1
-
-        sage: K = Cone([(0,0)])
-        sage: K.lattice_dim()
-        2
-        sage: codim(K)
-        2
-
-    TESTS:
-
-    The codimension of a cone should be an integer between zero and
-    the dimension of the ambient space, inclusive::
-
-        sage: set_random_seed()
-        sage: K = random_cone(max_dim = 8)
-        sage: c = codim(K)
-        sage: c in ZZ
-        True
-        sage: (0 <= c) and (c <= K.lattice_dim())
-        True
-
-    A solid cone should have codimension zero::
-
-        sage: set_random_seed()
-        sage: K = random_cone(max_dim = 8, solid = True)
-        sage: codim(K)
-        0
-
-    The codimension of a cone is equal to the lineality of its dual::
-
-        sage: set_random_seed()
-        sage: K = random_cone(max_dim = 8, solid = True)
-        sage: codim(K) == lineality(K.dual())
-        True
-
-    """
-    return (K.lattice_dim() - K.dim())
-
-
 def discrete_complementarity_set(K):
     r"""
     Compute the discrete complementarity set of this cone.