Strange pair of type declarations - ada

Okay, so it may not be that strange, but I'm really new to Ada. In my job, I am translating legacy Ada to C, and have come across something that I haven't seen yet. I searched around, but couldn't really find it; here it is.
type Discrete_Names is ( ENUM_POS_4, --label names in an enum
ENUM_POS_5, --that evaluate to 4, 5, and 6
ENUM_POS_6); --respectively
type Discrete_Array_Type is Array (Discrete_Names) of Discrete.Does_Not_Matter
Side note—the Discrete.Does_Not_Matter just references another type in a different library.
It would be great if someone could just help me get my bearings and just figure out what is going on here.

Well, it is quite simple. In Ada arrays can be indexed by any discrete type, that is, integers, characters or enumeration types (your case). The line
type Discrete_Array_Type is Array (Discrete_Names) of Does_Not_Matter
declares Discrete_Array_Type as the type of an array that contains values of type Does_Not_Matter and it is indexed by values of type Discrete_Names.
If your doubt stems from the fact that ENUM_POS_4 has Pos equal to 4 -- so that it seems that the first index of the array is 4 and not 0 -- my suggestion is... forget about it. The compiler will take care of that. In Ada arrays can start from any index. For example, if you say
type Array_Foo is array(Positive range <>) of Characters;
Bar : Array_Foo(10..15);
Bar will be just 6 entries long (not 16) and when you access Bar(12) the compiler -- behind the scenes -- will remove the initial offset "10" to "12" so that you will access the third memory location reserved to Bar. (Actually, I think that for the sake of efficiency it will add 12 to the address of Bar diminished by 10 times the integer sizes, but this is a detail...)
My personal experience is that in cases like this you should not consider the enumerative type like a "integer in disguise" (although it will be internally represented by an integer), but like a type of its own that can be used to index an array. Let the compiler worry about the internal low-level details.

Related

Reshaping 1d array to 2D pointer array Fortran

I have a pointer uvw(:,:) which is two-dimensional, and I got a 1d buffer array x(:).
Now I need to point uvw(1,:)=>x(1:ncell) and uvw(2,:)=>x(ncell+1:ncell*2) etc.
I made a very simple example. I know that array of pointers does not work, but does anybody have an idea how this can be worked around?
PS: For a pragmatic reason I do not want to wrap my uvw with a declared type. ( i am changing some bit of code, and need uvw as 2D pointer. Currently is an array, and my idea is to avoid changing the way uvw is being used as it being used thousands of times)
program test
real, allocatable,target :: x(:)
real, pointer :: ptr(:,:)
allocate(x(100) )
x = 1.
ptr(1,:) => x(1:10)
end program
The error message says:
`error #8524: The syntax of this data pointer assignment is incorrect:
either 'bound spec' or 'bound remapping' is expected in this context.
[1]
ptr(1,:) => x(1:10)
----^`
You are trying to perform pointer bounds remapping, but you have the incorrect syntax and approach.
Pointer bounds remapping is a way to have the shape of the pointer different from that of the target. In particular, the rank of the pointer and target may differ. However, in such an assignment it is necessary to explicitly specify the lower and upper bounds of the remapping; it isn't sufficient to use : by itself.
Also, you'll need to assign the whole pointer in one go. That is, you can't have "the first ten elements point to this slice, the next ten to this slice" and so on in multiple statements.
The assignment statement would be
ptr(1:10,1:10) => x
Note, that this also means that you can't actually have what you want. You are asking for the elements ptr(1,1:10) to correspond to x(1:10) and ptr(2,2:10) to correspond to x(11:20). That isn't possible: the array elements must match in order: ptr(1:10,1) being the first ten elements of ptr must instead be associated with the first ten elements x(1:10). The corrected pointer assignment above has this.
If you prefer avoiding a pointer, then the UNION/MAP is an option depending on compiler. It was added to gfortran a while ago... then you can think of the array as a rank=2 but also use the vector (Rank=1) for SIMD operations.
All this assumes that one wants to avoid pointers...

Converting a Gray-Scale Array to a FloatingPoint-Array

I am trying to read a .tif-file in julia as a Floating Point Array. With the FileIO & ImageMagick-Package I am able to do this, but the Array that I get is of the Type Array{ColorTypes.Gray{FixedPointNumbers.Normed{UInt8,8}},2}.
I can convert this FixedPoint-Array to Float32-Array by multiplying it with 255 (because UInt8), but I am looking for a function to do this for any type of FixedPointNumber (i.e. reinterpret() or convert()).
using FileIO
# Load the tif
obj = load("test.tif");
typeof(obj)
# Convert to Float32-Array
objNew = real.(obj) .* 255
typeof(objNew)
The output is
julia> using FileIO
julia> obj = load("test.tif");
julia> typeof(obj)
Array{ColorTypes.Gray{FixedPointNumbers.Normed{UInt8,8}},2}
julia> objNew = real.(obj) .* 255;
julia> typeof(objNew)
Array{Float32,2}
I have been looking in the docs quite a while and have not found the function with which to convert a given FixedPoint-Array to a FloatingPont-Array without multiplying it with the maximum value of the Integer type.
Thanks for any help.
edit:
I made a small gist to see if the solution by Michael works, and it does. Thanks!
Note:I don't know why, but the real.(obj) .* 255-code does not work (see the gist).
Why not just Float32.()?
using ColorTypes
a = Gray.(convert.(Normed{UInt8,8}, rand(5,6)));
typeof(a)
#Array{ColorTypes.Gray{FixedPointNumbers.Normed{UInt8,8}},2}
Float32.(a)
The short answer is indeed the one given by Michael, just use Float32.(a) (for grayscale). Another alternative is channelview(a), which generally performs channel separation thus also stripping the color information from the array. In the latter case you won't get a Float32 array, because your image is stored with 8 bits per pixel, instead you'll get an N0f8 (= FixedPointNumbers.Normed{UInt8,8}). You can read about those numbers here.
Your instinct to multiply by 255 is natural, given how other image-processing frameworks work, but Julia has made some effort to be consistent about "meaning" in ways that are worth taking a moment to think about. For example, in another programming language just changing the numerical precision of an array:
img = uint8(255*rand(10, 10, 3)); % an 8-bit per color channel image
figure; image(img)
imgd = double(img); % convert to double-precision, but don't change the values
figure; image(imgd)
produces the following surprising result:
That second "all white" image represents saturation. In this other language, "5" means two completely different things depending on whether it's stored in memory as a UInt8 vs a Float64. I think it's fair to say that under any normal circumstances, a user of a numerical library would call this a bug, and a very serious one at that, yet somehow many of us have grown to accept this in the context of image processing.
These new types arise because in Julia we've gone to the effort to implement new numerical types (FixedPointNumbers) that act like fractional values (e.g., between 0 and 1) but are stored internally with the same bit pattern as the "corresponding" UInt8 (the one you get by multiplying by 255). This allows us to work with 8-bit data and yet allow values to always be interpreted on a consistent scale (0.0=black, 1.0=white).

Subtype with different parameter than supertype

Let's say I have defined a Type merely as a alias for a certain array in Julia but with additional information, let's say just a string
abstract A{T,N}
foo::AbstractArray{T,N}
bar::Real
end
I would like to define a Subtype having maybe another element but also restricting the second parameter of the type to be an integer and having a value of N+1 if B is of type N.
type B{N::Int} <: A{T,N+1}
baz::Float64
end
In this example neither ::Int nor N+1 seem to be right nor are they syntactically. I'm a little new to Julia but I read a lot the last days and couldn't find a solution for that.
How can I do such a “restricted” subtype?
Edit: Maybe there's even another glitch. For the supertype N should be able to be a vector specifying the size of foo while for the subtype it should be an integer specifying the length of the vector.
Edit 2: I meant to use an abstract A which I edited now as mentioned in the comments
Edit 3: So I think one problem seems to be, that abstract types can not have fields (which I don't understand why but anyhow), then still I can't declare Type parameters to be e.g. just an Integer.
So how can I do something like
abstract A{T,N}
type B{N::Integer} <: A{Float64,N+1}
v:FixedVector{N+1,Float64}
end
I always get the problem, that N always (no matter what I do) stays a Typevar while I would like to just have an Integer. So is there a way to make a type dependent on a variable?

How to use a vector as a type parameter in Julia

This is similar to my previous question, but a bit more complicated.
Before I was defining a type with an associated integer as a parameter, Intp{p}. Now I would like to define a type using a vector as a parameter.
The following is the closest I can write to what I want:
type Extp{g::Vector{T}}
c::Vector{T}
end
In other words, Extp should be defined with respect to a Vector, g, and I want the contents, c, to be another Vector, whose entries should be the of the same type as the entries of g.
Well, this does not work.
Problem 1: I don't think I can use :: in the type parameter.
Problem 2: I could work around that by making the types of g and c arbitary and just making sure the types in the vectors match up in the constructor. But, even if I completely take everything out and use
type Extp{g}
c
end
it still doesn't seem to like this. When I try to use it the way I want to,
julia> Extp{[1,1,1]}([0,0,1])
ERROR: type: apply_type: in Extp, expected Type{T<:Top}, got Array{Int64,1}
So, does Julia just not like particular Vectors being associated with types? Does what I'm trying to do only work with integers, like in my Intp question?
EDIT: In the documentation I see that type parameters "can be any type at all (or an integer, actually, although here it’s clearly used as a type)." Does that mean that what I'm asking is impossible, and that that only types and integers work for Type parameters? If so, why? (what makes integers special over other types in Julia in this way?)
In Julia 0.4, you can use any "bitstype" as a parameter of a type. However, a vector is not a bitstype, so this is not going to work. The closest analog is to use a tuple: for example, (3.2, 1.5) is a perfectly valid type parameter.
In a sense vectors (or any mutable object) are antithetical to types, which cannot change at runtime.
Here is the relevant quote:
Both abstract and concrete types can be parameterized by other types
and by certain other values (currently integers, symbols, bools, and
tuples thereof).
So, your EDIT is correct. Widening this has come up on the Julia issues page (e.g., #5102 and #6081 were two related issues I found with some discussion), so this may change in the future - I'm guessing not in v0.4 though. It'd have to be an immutable type really to make any sense, so not Vector. I'm not sure I understand your application, but would a Tuple work?

Stackoverflow with specialized Hashtbl (via Hashtbl.make)

I am using this piece of code and a stackoverflow will be triggered, if I use Extlib's Hashtbl the error does not occur. Any hints to use specialized Hashtbl without stackoverflow?
module ColorIdxHash = Hashtbl.Make(
struct
type t = Img_types.rgb_t
let equal = (==)
let hash = Hashtbl.hash
end
)
(* .. *)
let (ctable: int ColorIdxHash.t) = ColorIdxHash.create 256 in
for x = 0 to width -1 do
for y = 0 to height -1 do
let c = Img.get img x y in
let rgb = Color.rgb_of_color c in
if not (ColorIdxHash.mem ctable rgb) then ColorIdxHash.add ctable rgb (ColorIdxHash.length ctable)
done
done;
(* .. *)
The backtrace points to hashtbl.ml:
Fatal error: exception Stack_overflow Raised at file "hashtbl.ml",
line 54, characters 16-40 Called from file "img/write_bmp.ml", line
150, characters 52-108 ...
Any hints?
Well, you're using physical equality (==) to compare the colors in your hash table. If the colors are structured values (I can't tell from this code), none of them will be physically equal to each other. If all the colors are distinct objects, they will all go into the table, which could really be quite a large number of objects. On the other hand, the hash function is going to be based on the actual color R,G,B values, so there may well be a large number of duplicates. This will mean that your hash buckets will have very long chains. Perhaps some internal function isn't tail recursive, and so is overflowing the stack.
Normally the length of the longest chain will be 2 or 3, so it wouldn't be surprising that this error doesn't come up often.
Looking at my copy of hashtbl.ml (OCaml 3.12.1), I don't see anything non-tail-recursive on line 54. So my guess might be wrong. On line 54 a new internal array is allocated for the hash table. So another idea is just that your hashtable is just getting too big (perhaps due to the unwanted duplicates).
One thing to try is to use structural equality (=) and see if the problem goes away.
One reason you may have non-termination or stack overflows is if your type contains cyclic values. (==) will terminates on cyclic values (while (=) may not), but Hash.hash is probably not cycle-safe. So if you manipulate cyclic values of type Img_types.rgb_t, you have to devise your one cycle-safe hash function -- typically, calling Hash.hash on only one of the non-cyclic subfields/subcomponents of your values.
I've already been bitten by precisely this issue in the past. Not a fun bug to track down.

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