X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;ds=sidebyside;f=mjo%2Feja%2Feja_utils.py;h=79d8ecfce61c555375deffd40501b2fb100c0379;hb=7c21799d680433b62d48ca79cc2ea8f27e1cd8da;hp=3942e70811c6d69e59c9581d23f17af05c261dfa;hpb=cf5e64b70869df65c7bb38888de54b1083e60d45;p=sage.d.git diff --git a/mjo/eja/eja_utils.py b/mjo/eja/eja_utils.py index 3942e70..79d8ecf 100644 --- a/mjo/eja/eja_utils.py +++ b/mjo/eja/eja_utils.py @@ -1,6 +1,4 @@ -from sage.functions.other import sqrt -from sage.matrix.constructor import matrix -from sage.modules.free_module_element import vector +from sage.structure.element import is_Matrix def _charpoly_sage_input(s): r""" @@ -10,14 +8,16 @@ def _charpoly_sage_input(s): 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: J._charpoly_coefficients()[0] + sage: a = J._charpoly_coefficients() + sage: a[0] X1^2 - X2^2 - X3^2 - X4^2 - sage: _charpoly_sage_input("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' """ @@ -145,9 +145,16 @@ def _all2list(x): # first needing to convert them to a list of octonions and # then recursing down into the list. It also avoids the wonky # list(x) when x is an element of a CFM. I don't know what it - # returns but it aint the coordinates. This will fall through - # to the iterable case the next time around. - return _all2list(x.to_vector()) + # returns but it aint the coordinates. We don't recurse + # because vectors can only contain ring elements as entries. + return x.to_vector().list() + + if is_Matrix(x): + # This sucks, but for performance reasons we don't want to + # call _all2list recursively on the contents of a matrix + # when we don't have to (they only contain ring elements + # as entries) + return x.list() try: xl = list(x) @@ -158,15 +165,8 @@ def _all2list(x): # Avoid the retardation of list(QQ(1)) == [1]. return [x] - return sum(list( map(_all2list, xl) ), []) - - - -def _mat2vec(m): - return vector(m.base_ring(), m.list()) + return sum( map(_all2list, xl) , []) -def _vec2mat(v): - return matrix(v.base_ring(), sqrt(v.degree()), v.list()) def gram_schmidt(v, inner_product=None): """