module Rationality
abstract SymbolicMathematics
export SymbolicRational
import Base: STDOUT, string, show, Rational
type SymbolicRational <: SymbolicMathematics
num::Int128
den::Int128
SymbolicRational{I<:Signed}(num::I, den::I) = new(Int128(num),
Int128(den))
SymbolicRational{I<:Signed}(q::Rational{I}) = SymbolicRational(q.num,
q.den)
end
function string(x::SymbolicRational)
return string(x.num, "/", x.den)
end
function string{I}(x::Rational{I})
return string(x.num, "//", x.den)
end
function show(io::IO, x::SymbolicRational)
s = string(x)
print(io, s)
end
show(x::SymbolicRational) = show(STDOUT, x)
function show{I}(io::IO, x::Rational{I})
s = string(x)
print(io, s)
end
show{I}(x::Rational{I}) = show(STDOUT, x)
end # module Rationality
using Rationality
p = 3//5
q = SymbolicRational(p)
pstr = string(p);
qstr = string(q);
p_q = string(pstr, " ", qstr)
println(p_q)
show([p, q])
On Friday, October 14, 2016 at 9:52:51 AM UTC-4, lapeyre....@gmail.com
wrote:
>
> I'm thinking of symbolic mathematics (Symata.jl). Another example is
> `SymPy.jl`, which prints rationals the same way I want to, like this:
> "2/3". But in SymPy.jl, rationals are not `Rational`'s, but rather wrapped
> python objects, so the problem with printing does not arise. If I wrapped
> `Rational`'s it would introduce a lot of complexity.
>
> So far, walking expression trees to wrap objects of certain types just
> before printing seems to be working well.
>
> On Friday, October 14, 2016 at 4:23:27 AM UTC+2, Jeffrey Sarnoff wrote:
>>
>> I assume you meant x::T in type A{T}. Why do you want to do this:
>>
>>> Every time a Rational or Symbol or Bool is encountered on any level, I
>>> want it to print differently than Base.show does it.
>>>
>> Do you want to adorn it (like "3//5" -> "{3//5}") or alter it (like
>> "3//5" -> "2//5")?
>>
>> Also, I think you are approaching solving your problem in way more suited
>> to another language. But I really have no idea what your motivation is.
>>
>> On Tuesday, October 11, 2016 at 7:21:35 PM UTC-4, lapeyre....@gmail.com
>> wrote:
>>>
>>> To make it concrete, I have
>>>
>>> type A{T}
>>> x
>>> a::Array{Any,1}
>>> end
>>>
>>> The elements of the array a are numbers, Symbols, strings, etc., as well
>>> as more instances of type A{T}. They
>>> may be nested to arbitrary depth. If I call show on an instance of A{T},
>>> then show will be called recursively
>>> on all parts of the tree. Every time a Rational or Symbol or Bool is
>>> encountered on any level, I want it to print differently than Base.show
>>> does it.
>>>
>>>
>>> On Tuesday, October 11, 2016 at 11:48:46 PM UTC+2, Jeffrey Sarnoff wrote:
>>>>
>>>> Are you saying a and b and c and d?
>>>>
>>>> (a) that you have a outer type which has a Rational field and has
>>>> another field of a type that has a field which is typed Rational or is
>>>> typed e.g. Vector{Rational}
>>>>
>>>> (b) and displaying a value of the outer type includes displaying the
>>>> Rationals from withiin the field of the inner type
>>>>
>>>> (c) and when displaying that value, you want to present the outer
>>>> type's Rational field a special way
>>>>
>>>> (d) and when displaying that value, you want to present the Rational
>>>> fields of the inner type in the usual way
>>>>
>>>>
>>>> On Tuesday, October 11, 2016 at 1:23:37 PM UTC-4, lapeyre....@gmail.com
>>>> wrote:
>>>>>
>>>>> I think I understand what you are saying (not sure). A problem that
>>>>> arises is that if I call show or print on an object, then show or print
>>>>> may
>>>>> be called many times on fields and fields of fields, etc., including from
>>>>> within Base code before the call returns. I don't know how to tell the
>>>>> builtin julia code my preference for printing rationals. The only way I
>>>>> know to get a redefinition of show eg M.show to work in all situations,
>>>>> is
>>>>> to copy all the code that might be called. Maybe I'm missing something,
>>>>> but
>>>>> I can't see a way around this.
>>>>>
>>>>> I'm not familiar with the idea of a fencing module.
>>>>>
>>>>> On Monday, October 10, 2016 at 11:30:18 PM UTC+2, Jeffrey Sarnoff
>>>>> wrote:
>>>>>>
>>>>>> You could wrap your redefinitions in a module M without exporting
>>>>>> show explicitly.
>>>>>> `using M` and accessing the your variation as `M.show` may give the
>>>>>> localization you want.
>>>>>> Should it not, then doing that within some outer working context, a
>>>>>> fencing module, may add enough flexibility.
>>>>>>
>>>>>>
>>>>>> On Monday, October 10, 2016 at 4:18:52 PM UTC-4,
>>>>>> lapeyre....@gmail.com wrote:
>>>>>>>
>>>>>>> For the record, a workable solution, at least for this particular
>>>>>>> code: I pass all output through wrapout() at the outermost output call.
>>>>>>> The
>>>>>>> object to be printed is traversed recursively. All types fall through
>>>>>>> except for the handful that I want to change. Each of these is each
>>>>>>> wrapped
>>>>>>> in a new type. I extend Base.show for each of these wrapper types. This
>>>>>>> seems pretty economical and robust and works across versions. The
>>>>>>> wrapper
>>>>>>> types are only introduced upon output, the rest of the code never sees
>>>>>>> them.
>>>>>>>
>>>>>>> This works because the code uses a customization of the REPL, and
>>>>>>> several instances of print, warn, string, etc. I make a new top-level
>>>>>>> output function for the REPL that uses `wrapout`. I also generate
>>>>>>> wrappers
>>>>>>> for each of print, etc. that map `wrapout` over all arguments. A
>>>>>>> developer
>>>>>>> is expected to use the interface provided rather than `print` etc.
>>>>>>> directly. The user doesn't even have a choice. There are very few
>>>>>>> types in
>>>>>>> the package, but a lot of nested instances. So there is very little
>>>>>>> code
>>>>>>> needed to traverse these instances. This might be more difficult in a
>>>>>>> different situation if many methods for wrapout() were required.
>>>>>>>
>>>>>>> On Monday, October 10, 2016 at 12:20:50 AM UTC+2,
>>>>>>> lapeyre....@gmail.com wrote:
>>>>>>>>
>>>>>>>> I want to change show for Symbol, Rational, and Bool. Till now, I
>>>>>>>> simply overwrote the existing methods. This works great. I get what I
>>>>>>>> want,
>>>>>>>> even in warn and error and string interpolation, etc. It works
>>>>>>>> flawlessly
>>>>>>>> on v0.4, v0.5, and v0.6. But, this changes the behavior for everyone.
>>>>>>>> So, I
>>>>>>>> want to get the same effect through different means that do not affect
>>>>>>>> other code. Any idea about how to do this ?
>>>>>>>>
>>>>>>>> One solution is to copy a large amount of base code that uses
>>>>>>>> print, write, show, etc. renaming these functions. Other than changing
>>>>>>>> 15
>>>>>>>> or 20 lines for Symbol, etc., the code is unchanged. This is works
>>>>>>>> more or
>>>>>>>> less, but is obviously a fragile, bad solution.
>>>>>>>>
>>>>>>>> Another idea is to make a subtype of IO that wraps subtypes of IO.
>>>>>>>> I am allowed to write methods for show for this new type. This is
>>>>>>>> turning
>>>>>>>> out to be complicated and unworkable.
>>>>>>>>
>>>>>>>> Another vague idea is to make a new mime type. Another is to copy
>>>>>>>> IOStream as another type, so that I only have to write methods for
>>>>>>>> Symbol,
>>>>>>>> Rational and Bool again.
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>
