X-Git-Url: https://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=529f70fd633bf36275c63282a05614f1109a7df0;hb=d9b0659df5d8ad61f457674e009180618dffef67;hp=a9158127e857ccea2b430dc60d91a0465b010480;hpb=0d2f419ecd30a2d7899a37ab38ae6b4ff0e3245e;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index a915812..529f70f 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,18 +1,25 @@
-0. Add tests for orthogonality in the Peirce decomposition.
+1. Add references and start citing them.
 
-1. Add CartesianProductEJA.
+2. Profile (and fix?) any remaining slow operations.
 
-2. Check the axioms in the constructor when check != False?
+3. Every once in a long while, the test
 
-3. Add references and start citing them.
+       sage: set_random_seed()
+       sage: x = random_eja().random_element()
+       sage: x.is_invertible() == (x.det() != 0)
 
-4. Implement the octonion simple EJA.
+   in eja_element.py returns False. Example:
 
-5. Factor out the unit-norm basis (and operator symmetry) tests once
-   all of the algebras pass.
+       sage: J1 = ComplexHermitianEJA(2)
+       sage: J2 = TrivialEJA()
+       sage: J = cartesian_product([J1,J2])
+       sage: x = J.from_vector(vector(QQ, [-1, -1/2, -1/2, -1/2]))
+       sage: x.is_invertible()
+       True
+       sage: x.det()
+       0
 
-6. Can we make the minimal and characteristic polynomial tests work
-   for trivial algebras, too? Then we wouldn't need the "nontrivial"
-   argument to random_eja(). This would also allow us to potentially
-   pass a "size" of zero to the other constructors in random_eja() --
-   a code path that is basically untested right now.
+4. When we take a Cartesian product involving a trivial algebra, we
+   could easily cache the identity and charpoly coefficients using
+   the nontrivial factor. On the other hand, it's nice that we can
+   test out some alternate code paths...