X-Git-Url: http://gitweb.michael.orlitzky.com/?p=sage.d.git;a=blobdiff_plain;f=mjo%2Feja%2Feja_utils.py;h=3942e70811c6d69e59c9581d23f17af05c261dfa;hp=7c6c581329dd64aaa8f3d958e00b2f9eb3221fcb;hb=cf5e64b70869df65c7bb38888de54b1083e60d45;hpb=8d91b5b5af605dabe11a024ab030f2fcb2828cde diff --git a/mjo/eja/eja_utils.py b/mjo/eja/eja_utils.py index 7c6c581..3942e70 100644 --- a/mjo/eja/eja_utils.py +++ b/mjo/eja/eja_utils.py @@ -2,6 +2,40 @@ from sage.functions.other import sqrt 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_utils import _charpoly_sage_input + + EXAMPLES:: + + sage: J = JordanSpinEJA(4,QQ) + sage: J._charpoly_coefficients()[0] + X1^2 - X2^2 - X3^2 - X4^2 + sage: _charpoly_sage_input("X1^2 - X2^2 - X3^2 - X4^2") + '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""" Scale the vector, matrix, or cartesian-product-of-those-things