How to initialize a fixed array to a value with Raku - raku

It may be silly but I haven't found a good solution in the documentation about how to initialize a fixed array, or multidimensional array on an easy way without iterating.
my #array[10] = [0,0,0,0,0,0,0,0,0,0];
my #grid[100;100];

I'd probably use the xx operator. Something like this :
my #array[10] = 0 xx 10;
my #grid[100;100] = [0 xx 100] xx 100;

Related

Perl6-ish expression for the bits of an integer

I've been trying to exercise my Perl 6 chops by looking at some golfing problems. One of them involved extracting the bits of an integer. I haven't been able to come up with a succinct way to write such an expression.
My "best" tries so far follow, using 2000 as the number. I don't care whether the most or least significant bit comes first.
A numeric expression:
map { $_ % 2 }, (2000, * div 2 ... * == 0)
A recursive anonymous subroutine:
{ $_ ?? ($_ % 2, |&?BLOCK($_ div 2)) !! () }(2000)
Converting to a string:
2000.fmt('%b') ~~ m:g/./
Of these, the first feels cleanest to me, but it would be really nice to be able to generate the bits in a single step, rather than mapping over an intermediate list.
Is there a cleaner, shorter, and/or more idiomatic way to get the bits, using a single expression? (That is, without writing a named function.)
The easiest way would be:
2000.base(2).comb
The .base method returns a string representation, and .comb splits it into characters - similar to your third method.
An imperative solution, least to most significant bit:
my $i = 2000; say (loop (; $i; $i +>= 1) { $i +& 1 })
The same thing rewritten using hyperoperators on a sequence:
say (2000, * +> 1 ...^ !*) >>+&>> 1
An alternative that is more useful when you need to change the base to anything above 36, is to use polymod with an infinite list of that base.
Most of the time you will have to reverse the order though.
say 2000.polymod(2 xx *);
# (0 0 0 0 1 0 1 1 1 1 1)
say 2000.polymod(2 xx *).reverse;
say [R,] 2000.polymod(2 xx*);
# (1 1 1 1 1 0 1 0 0 0 0)

Picking random binary flag

I have defined the following:
typdef enum {
none = 0,
alpha = 1,
beta = 2,
delta = 4
gamma = 8
omega = 16,
} Greek;
Greek t = beta | delta | gammax
I would like to be able to pick one of the flags set in t randomly. The value of t can vary (it could be, anything from the enum).
One thought I had was something like this:
r = 0;
while ( !t & ( 2 << r ) { r = rand(0,4); }
Anyone got any more elegant ideas?
If it helps, I want to do this in ObjC...
Assuming I've correctly understood your intent, if your definition of "elegant" includes table lookups the following should do the trick pretty efficiently. I've written enough to show how it works, but didn't fill out the entire table. Also, for Objective-C I recommend arc4random over using rand.
First, construct an array whose indices are the possible t values and whose elements are arrays of t's underlying Greek values. I ignored none, but that's a trivial addition to make if you want it. I also found it easiest to specify the lengths of the subarrays. Alternatively, you could do this with NSArrays and have them self-report their lengths:
int myArray[8][4] = {
{0},
{1},
{2},
{1,2},
{4},
{4,1},
{4,2},
{4,2,1}
};
int length[] = {1,1,1,2,1,2,2,3};
Then, for any given t you can randomly select one of its elements using:
int r = myArray[t][arc4random_uniform(length[t])];
Once you get past the setup, the actual random selection is efficient, with no acceptance/rejection looping involved.

Promoting the left hand side of an assignment operator

I've written a Matlab class to handle dual numbers to do automatic differentiation. For almost all cases this works fine, and the new class is a drop-in replacement for the other numeric classes in most functions (the field 'x' gives the values of the function, and the field d gives the value of the derivative of the function at that point.)
>> x = mkdual([1 2 3]);
>> x.^2
ans =
Dual
Properties:
x: [1 4 9]
d: [2 4 6]
However, it fails when a function pre-allocates an output array, and assigns to the array by indexing into it. For example, the following is a common pattern in Matlab:
>> y=zeros(2) // Pre-allocate for speed
y =
0 0
0 0
>> x = 1;
>> y(1,:)=x
y =
1 1
0 0
Unfortunately this fails with my class, since it can't promote the array on the LHS of the assignment operator to a dual number:
>> x=mkdual(1);
>> y(2,:)=x
??? The following error occurred converting from Dual to double:
Error using ==> double
Conversion to double from Dual is not possible.
Can anyone suggest a fix or a workaround - preferably one which allows automatic promotion of the variable y to a Dual?
Your example isn't failing because it can't promote y to a Dual; it's failing because it tries to convert x to a double, and can't.
If you wanted to do that, you could add an overloaded double method to Dual that would do the conversion operation.
I'm guessing that's not what you want though, but rather you want a way of preallocating an array of dummy elements of class Dual. To do that you can design the constructor of Dual so that it will run with no input arguments, returning a dummy or default Dual. Then you can say y(2,2) = Dual and you'll have a 2x2 preallocated array of dummy Duals.
Search in the doc for 'Initializing arrays of value objects' for a fuller example.
Alternatively, you could make y a cell array instead of an array.
You will not be able to automatically promote y to a Dual, unless you are replacing the variable in its entirety (which defeats the benefits of preallocation).
However, you should be able to preallocate it as a Dual in the first place. I'm not sure of the syntax, and it may depend on your implementation, but something like:
mkdual(zeros(10,10))
Alternatively, you can do a lazy pre-allocation by loop backwards. That is, instead of
for ix = 1:100
y(ix) = mkdual(...)
end
Use
for ix = 100:-1:1
y(ix) = mkdual(...)
end

Matlab- How does you name a new variable based on other variables' values? [duplicate]

This question already has answers here:
Closed 11 years ago.
Possible Duplicates:
How to concatenate a number to a variable name in MATLAB?
MATLAB: How can I use a variables value in another variables name?
I want to name a variable using values of other variables given in a function.
So, if I have values for an x1,x2 I can make the new variable's name as:
x_(x1's value)_(x2's value) as a name.
I've checked out the eval, num2str, strcat functions, but as of yet I can't make it so that I have a variable with the name above which I can assign a value to.
Any help would be greatly appreciated.
Take a look at the following FAQ:
How can I create variables A1, A2,...,A10 in a loop?
It answers the "how" part of your question and recommends a better approach using arrays.
As Jonas suggests, if x1 and x2 are numbers this works:
x1 = 3;
x2 = 4;
newValue = 25;
eval(sprintf('x_%i_%i = newValue;',x1,x2));
If x1 and x2 are strings, this becomes:
x1 = 'foo';
x2 = 'bar';
newValue = 25;
eval(sprintf('x_%s_%s = newValue;',x1,x2));
or more simply (using concatenation instead of SPRINTF):
x1 = 'foo';
x2 = 'bar';
newValue = 25;
eval(['x_' x1 '_' x2 ' = newValue']);
I don't know what you're trying to accomplish, but this probably isn't the best way to go about it. EVAL should always be avoided. Creating variables in the using EVAL is (a.k.a. "poofing") is doubly bad.
If you're trying to associate parameters with values, structures are a much better solution:
x1 = 'foo';
x2 = 'bar';
newValue = 25;
x.([x1 '_' x2]) = newValue;
Assuming you have a really good reason why you'd want to do that (and assuming x1 and x2 have integer values), you can do this by combining EVAL and SPRINTF.
x1 = 3;
x2 = 4;
newValue = 25;
eval(sprintf('x_%i_%i = newValue;',x1,x2));
If x1 and x2 are floats, it'll be trickier since a variable name cannot have dots in it, though it would still be possible as long as you replace the dots with something else.
However, I really have to ask: Are you sure that you want to do that? Because at the moment I cannot imagine an application where would want to create variable names you don't know beforehand, which in turn makes it very hard to write an efficient program.
EDIT
There are many useful ways to store your data in arrays. If you really don't want that, you may be interested in accessing data via key/value pairs in a MAP, a feature which is available in more recent versions of Matlab. Thus, your key would become sprintf('%i_%i',x1,x2), and the corresponding value would be whatever it is you want to store.
You can also use dynamic field references. Loren at the Mathworks gives a writeup here:
Mathworks: use-dynamic-field-references

Avoid the use of for loops

I'm working with R and I have a code like this:
for (i in 1:10)
for (j in 1:100)
if (data[i] == paths[j,1])
cluster[i,4] <- paths[j,2]
where:
data is a vector with 100 rows and 1 column
paths is a matrix with 100 rows and 5 columns
cluster is a matrix with 100 rows and 5 columns
My question is: how could I avoid the use of "for" loops to iterate through the matrix? I don't know whether apply functions (lapply, tapply...) are useful in this case.
This is a problem when j=10000 for example because the execution time is very long.
Thank you
Inner loop could be vectorized
cluster[i,4] <- paths[max(which(data[i]==paths[,1])),2]
but check Musa's comment. I think you indented something else.
Second (outer) loop could be vectorize either, by replicating vectors but
if i is only 100 your speed-up don't be large
it will need more RAM
[edit]
As I understood your comment can you just use logical indexing?
indx <- data==paths[, 1]
cluster[indx, 4] <- paths[indx, 2]
I think that both loops can be vectorized using the following:
cluster[na.omit(match(paths[1:100,1],data[1:10])),4] = paths[!is.na(match(paths[1:100,1],data[1:10])),2]