Talk:Continued fraction/Arithmetic/G(matrix ng, continued fraction n)

r2cf

Note that [1;5,2] is rc2f(13,11) and [3;7] is rc2f(22,7).--Nigel Galloway 12:30, 7 February 2013 (UTC)

How to build?

I can't get the c++ entry to compile. How is that done? --Rdm (talk) 14:05, 8 July 2015 (UTC)

Answer:

* Replace reference to NG_8 with NG_4

* Take the first body of code and save it as ng.hpp - adding these lines at the top <lang c++>#include <iostream>

1. include <cmath>
2. include "r2cf.hpp"</lang>

* populate r2cf.hpp with the first block of code at Continued_fraction/Arithmetic/Construct_from_rational_number#C.2B.2B

Each main block gets an #include "ng.hpp" header and gets compiled as c++11 --Rdm (talk) 04:32, 10 July 2015 (UTC)

I think the implementation should be fixed up so it works, but I'll leave that to someone else... --Rdm (talk) 04:32, 10 July 2015 (UTC)

Marking as "draft"

I am marking this task as "draft". It should have started out in draft status, but has never been in draft status.

Also, currently:

• The task description uses notation [1;3,5] and [3;7] but this notation does not appear in any of the implementations (well, in some as a literal string, but it is not used for computational purposes). This is either a red herring or needs documentation. Perhaps it's a reference into some external manuscript? Or perhaps it has to do with a method for constructing continued fractions? Whatever is going on should be stated more clearly. (There's a comment above which sheds some light on this issue, but not enough.)

• The task description uses the notation "+ 1/2" which apparently corresponds to an "NG matrix" with a1=2, a=1, b1=0, b=2 and the notation "divided by 4" which apparently corresponds to an "NG matrix" with a1=1, a=0, b1=0, b=4. There is probably a good reason for this, but that should also be documented. Some implementations also use other "NG Matrices" but why?

• The task mentions generating an Arithmetic-geometric mean but neglects to mention what this would be a mean of.

• The task mentions the expression ${\frac {1+{\frac {1}{\sqrt {2}}}}{2}}$ but none of the implementations use that expression, nor does a continued fraction expression representing that value (such as 0 1 5 1 4 1 4 1 4 1 4 1...) seem to appear in the current implementations. Some implementations include a continued fraction for ${\frac {1+{\sqrt {2}}}{2}}$ but that's not the same (similar, but different).

Anyways... this draft has potential, but it also needs some work. --Rdm (talk) 10:25, 9 July 2015 (UTC)