eja: remove unused variable in gram_schmidt.

[sage.d.git] / mjo / eja / eja_utils.py

diff --git a/mjo/eja/eja_utils.py b/mjo/eja/eja_utils.py
index a4328610e5e41db689455828bd0d8988225e745b..8422fbff3c3a3f1523a84708ee659bd605da7ffe 100644 (file)
--- a/mjo/eja/eja_utils.py
+++ b/mjo/eja/eja_utils.py
@@ -1,43 +1,4 @@
-from sage.functions.other import sqrt
 from sage.structure.element import is_Matrix
-from sage.matrix.constructor import matrix
-from sage.modules.free_module_element import vector
-
-def _charpoly_sage_input(s):
-    r"""
-    Helper function that you can use on the string output from sage
-    to convert a charpoly coefficient into the corresponding input
-    to be cached.
-
-    SETUP::
-
-        sage: from mjo.eja.eja_algebra import JordanSpinEJA
-        sage: from mjo.eja.eja_utils import _charpoly_sage_input
-
-    EXAMPLES::
-
-        sage: J = JordanSpinEJA(4,QQ)
-        sage: a = J._charpoly_coefficients()
-        sage: a[0]
-        X1^2 - X2^2 - X3^2 - X4^2
-        sage: _charpoly_sage_input(str(a[0]))
-        'X[0]**2 - X[1]**2 - X[2]**2 - X[3]**2'
-
-    """
-    import re
-
-    exponent_out = r"\^"
-    exponent_in = r"**"
-
-    digit_out = r"X([0-9]+)"
-
-    def replace_digit(m):
-        # m is a match object
-        return "X[" + str(int(m.group(1)) - 1) + "]"
-
-    s = re.sub(exponent_out, exponent_in, s)
-    return re.sub(digit_out, replace_digit, s)
-
 
 def _scale(x, alpha):
     r"""
@@ -171,13 +132,6 @@ def _all2list(x):
     return sum( map(_all2list, xl) , [])
 
 
-
-def _mat2vec(m):
-        return vector(m.base_ring(), m.list())
-
-def _vec2mat(v):
-        return matrix(v.base_ring(), sqrt(v.degree()), v.list())
-
 def gram_schmidt(v, inner_product=None):
     """
     Perform Gram-Schmidt on the list ``v`` which are assumed to be
@@ -311,8 +265,6 @@ def gram_schmidt(v, inner_product=None):
         # cool
         return v
 
-    R = v[0].base_ring()
-
     # Our "zero" needs to belong to the right space for sum() to work.
     zero = v[0].parent().zero()