question about 'flipflop_remap'

[Flower9618]

Hello, thank you very much for providing this useful tool. I just have a question when I read the code in

taiyaki/taiyaki/flipflop_remap.py

Line 123 in 9672c66

(T, K) where K = 2 * nbase * (nbase + 1)

Why K=2nbase(nbase+1)? and waht does T mean?

[tmassingham-ont]

Hello. We only store the nonzero entries for the full (nbase + nbase)^2 transition matrix.
Every base has a "flip" and a "flop" state, so (nbase + nbase) states in all, but transitions to a flop state can only come from a same base (either flip or flop) so part of the full transition matrix is extremely sparse.

Full transition matrix, where F is the set of "flip" bases, f is the set of "flop" bases, A & B are full rank matrices, and D & E are diagonal matrices.

  | F f 
--+-----
F | A B
f | D E

As stored in Taiyaki, where '-' represents transition to the appropriate "flop" base, and d & e are the diagonal elements of the matrices D & E above.

  | F f 
--+-----
F | A B    nbase x (nbase + nbase) elements
- | d e    (nbase + nbase) elements

[Flower9618]

Hello. We only store the nonzero entries for the full (nbase + nbase)^2 transition matrix. Every base has a "flip" and a "flop" state, so (nbase + nbase) states in all, but transitions to a flop state can only come from a same base (either flip or flop) so part of the full transition matrix is extremely sparse.

Full transition matrix, where F is the set of "flip" bases, f is the set of "flop" bases, A & B are full rank matrices, and D & E are diagonal matrices.

  | F f 
--+-----
F | A B
f | D E

As stored in Taiyaki, where '-' represents transition to the appropriate "flop" base, and d & e are the diagonal elements of the matrices D & E above.

  | F f 
--+-----
F | A B    nbase x (nbase + nbase) elements
- | d e    (nbase + nbase) elements

It is very helpful to me. Thank you very much for your prompt reply.