X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2Feja_utils.py;h=8422fbff3c3a3f1523a84708ee659bd605da7ffe;hb=71ed5e9dc86ef368e81e13122aad6046bf056a28;hp=a4328610e5e41db689455828bd0d8988225e745b;hpb=e8599960ef47e5a5af8aca360a041d30584f6c3f;p=sage.d.git diff --git a/mjo/eja/eja_utils.py b/mjo/eja/eja_utils.py index a432861..8422fbf 100644 --- 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()