Pass argument multiple times in MATLAB - arrays

Is there a way to pass an argument multiple times to different arrays?
What I want to do is:
r = '1:10:end'; % This doesn't work for me
plot(x1(r), y1(r));
plot(x2(r), y2(r));
...
and pass r to different arrays (with different lengths) in many plot functions. I tried with [r] but no success.

As I understand it, you want to plot every 10th element of possibly different sized arrays. There are a few ways you could do this. One way would be to write a short function to filter your arrays for you, for instance:
plot_10 = #(x,y) plot(x(1:10:end),y(1:10:end));
plot_10(x1,y1);
plot_10(x2,y2);
...
EDIT: Just an additional thought. If you wanted to enable the extended functionality of plot (e.g. passing line/colour arguments, etc). You could do something like this:
plot_10 = #(x,y,varargin) plot(x(1:10:end),y(1:10:end),varargin{:});
plot_10(x1,t1,'k+');

To use the "end" operator, it needs to be inside an array access call;
n = 10;
r = 1 : 1 : n;
r(1:end) % is legal
r(1:floor(end/2)) % is legal
So you could do something like this:
s = rand(1,2*n);
s(r)
% to compare...
s( 1:1:n )

Related

Matlab: Difference bettween two different sized arrays

Is it possible to find the difference beetwen two arrays of different size?
My problem is that I have two arrays, that scaled are pretty similar and I need the error in each point.
The data look like this:-
Yaw data is much bigger than Yaw Ref.
You could take a very naive approach and simply pad each element of the reference array. That is fairly simple to do:
n = length(yaw)/length(yaw_ref);
yaw_ref_pad = zeros(length(yaw), 1);
for j = 1:length(yaw_ref)-1
yaw_ref_pad((n*j):(n*(j+1)) = yaw_ref(j);
end
You could also do something more adaptive, which may or may not be what you want. This approach uses the derivatives to determine where the padded reference should switch. This might be considered a bit circular, since your system looks like an overdamped PID system and this uses the output to seed the input.
yaw_ref_pad = zeros(length(yaw), 1);
[x, peaks] = findpeaks(diff(yaw));
for j = 1:length(peaks)-1
yaw_ref_pad(peaks(j):peaks(j+1)) = yaw_ref(j);
end
Either way, after filling yaw_ref_pad, your result is simply
error = yaw_ref_pad - yaw;

What is the point of cell indexing in MATLAB

The point of indexing is mainly to get the value. In MATLAB,
for a cell array, there is content indexing ({}), and thus cell indexing (()) is only for selecting a subset from the cell array, right?
Is there anything other advanced usage for it? Like using it as
a pointer and pass it to a function?
There is a heavily simplified answer. {}-indexing returns you the content, ()-indexing creates a subcell with the indexed elements. Let's take a simple example:
>> a=x(2)
a =
[2]
>> class(a)
ans =
cell
>> b=x{2}
b =
2
>> class(b)
ans =
double
Now continue with non-scalar elements. For the ()-indexing everything behaves as expected, you receive a subcell with the elements:
>> a=x(2:3)
a =
[2] [3]
The thing really special to Matlab is using {}-indexing with non-scalar indices. It returns a Comma-Separated List with all the contents. Now what is happening here:
>> b=x{2:3}
b =
2
The Comma-Separated List behaves similar to a function with two return arguments. You want only one value, only one value is assigned. The second value is lost. You can also use this to assign multiple elements to individual lists at once:
>> [a,b]=x{2:3} %old MATLAB versions require deal here
a =
2
b =
3
Now finally to a very powerful use case of comma separated lists. Assume you have some stupid function foo which requires many input arguments. In your code you could write something like:
foo(a,b,c,d,e,f)
Or, assuming you have all parameters stored in a cell:
foo(a{1},a{2},a{3},a{4},a{5},a{6})
Alternatively you can call the function using a comma separated list. Assuming a has 6 elements, this line is fully equivalent to the previous:
foo(a{:}) %The : is a short cut for 1:end, index the first to the last element
The same technique demonstrated here for input arguments can also be used for output arguments.
Regarding your final question about pointers. Matlab does not use pointers and it has no supplement for it (except handle in oop Matlab), but Matlab is very strong in optimizing the memory usage. Especially using Copy-on-write makes it unnecessary to have pointers in most cases. You typically end up with functions like
M=myMatrixOperation(M,parameter,parameter2)
Where you input your data and return it.

indexed object dot notation method gives scalar property

I'm seeing an issue when I try and reference an object property after having used a dot notation to apply a method.
it only occurs when I try to index the initial object
classdef myclassexample
properties
data
end
methods
function obj = procData(obj)
if numel(obj)>1
for i = 1:numel(obj)
obj(i) = obj(i).procData;
end
return
end
%do some processing
obj.data = abs(obj.data);
end
end
end
then assigning the following
A = myclassexample;
A(1).data= - -1;
A(2).data = -2;
when calling the whole array and collecting the property data it works fine
[A.procData.data]
if i try and index A then i only get a scalar out
[A([1 2]).procData.data]
even though it seems to do fine without the property call
B = A([1 2]).procData;
[B.data]
any ideas?
I would definitely call this a bug in the parser; A bug because it did not throw an error to begin with, and instead allowed you to write: obj.method.prop in the first place!
The fact that MATLAB crashed in some variations of this syntax is a serious bug, and should definitely be reported to MathWorks.
Now the general rule in MATLAB is that you should not "index into a result" directly. Instead, you should first save the result into a variable, and then index into that variable.
This fact is clear if you use the form func(obj) rather than obj.func() to invoke member methods for objects (dot-notation vs. function notation):
>> A = MyClass;
>> A.procData.data % or A.procData().data
ans =
[]
>> procData(A).data
Undefined variable "procData" or class "procData".
Instead, as you noted, you should use:
>> B = procData(A): % or: B = A.pocData;
>> [B.data]
FWIW, this is also what happens when working with plain structures and regular functions (as opposed to OOP objects and member functions), as you cannot index into the result of a function call anyway. Example:
% a function that works on structure scalar/arrays
function s = procStruct(s)
if numel(s) > 1
for i=1:numel(s)
s(i) = procStruct(s(i));
end
else
s.data = abs(s.data);
end
end
Then all the following calls will throw errors (as they should):
% 1x2 struct array
>> s = struct('data',{1 -2});
>> procStruct(s).data
Undefined variable "procStruct" or class "procStruct".
>> procStruct(s([1 2])).data
Undefined variable "procStruct" or class "procStruct".
>> feval('procStruct',s).data
Undefined variable "feval" or class "feval".
>> f=#procStruct; f(s([1 2])).data
Improper index matrix reference.
You might be asking yourself why they decided to not allow such syntax. Well it turns out there is a good reason why MATLAB does not allow indexing into a function call (without having to introduce a temporary variable that is), be it dot-indexing or subscript-indexing.
Take the following function for example:
function x = f(n)
if nargin == 0, n=3; end
x = magic(n);
end
If we allowed indexing into a function call, then there would be an ambiguity in how to interpret the following call f(4):
should it be interpreted as: f()(4) (that is call function with no arguments, then index into the resulting matrix using linear indexing to get the 4th element)
or should it interpreted as: f(4) (call the function with one argument being n=4, and return the matrix magic(4))
This confusion is caused by several things in the MATLAB syntax:
it allows calling function with no arguments simply by their name, without requiring the parentheses. If there is a function f.m, you can call it as either f or f(). This makes parsing M-code harder, because it is not clear whether tokens are variables or functions.
parentheses are used for both matrix indexing as well as function calls. So if a token x represents a variable, we use the syntax x(1,2) as indexing into the matrix. At the same time if x is the name of a function, then x(1,2) is used to call the function with two arguments.
Another point of confusion is comma-separated lists and functions that return multiple outputs. Example:
>> [mx,idx] = max(magic(3))
mx =
8 9 7
idx =
1 3 2
>> [mx,idx] = max(magic(3))(4) % now what?
Should we return the 4th element of each output variables from MAX, or 4th element from only the first output argument along with the full second output? What about when the function returns outputs of different sizes?
All of this still applies to the other types of indexing: f()(3)/f(3), f().x/f.x, f(){3}/f{3}.
Because of this, MathWorks decided avoid all the above confusion and simply not allow directly indexing into results. Unfortunately they limited the syntax in the process. Octave for example has no such restriction (you can write magic(4)(1,2)), but then again the new OOP system is still in the process of being developed, so I don't know how Octave deals with such cases.
For those interested, this reminds me of another similar bug with regards to packages and classes and directly indexing to get a property. The results were different whether you called it from the command prompt, from a script, or from a M-file function...

Matlab array of struct : Fast assignment

Is there any way to "vector" assign an array of struct.
Currently I can
edges(1000000) = struct('weight',1.0); //This really does not assign the value, I checked on 2009A.
for i=1:1000000; edges(i).weight=1.0; end;
But that is slow, I want to do something more like
edges(:).weight=[rand(1000000,1)]; //with or without the square brackets.
Any ideas/suggestions to vectorize this assignment, so that it will be faster.
Thanks in advance.
This is much faster than deal or a loop (at least on my system):
N=10000;
edge(N) = struct('weight',1.0); % initialize the array
values = rand(1,N); % set the values as a vector
W = mat2cell(values, 1,ones(1,N)); % convert values to a cell
[edge(:).weight] = W{:};
Using curly braces on the right gives a comma separated value list of all the values in W (i.e. N outputs) and using square braces on the right assigns those N outputs to the N values in edge(:).weight.
You can try using the Matlab function deal, but I found it requires to tweak the input a little (using this question: In Matlab, for a multiple input function, how to use a single input as multiple inputs?), maybe there is something simpler.
n=100000;
edges(n)=struct('weight',1.0);
m=mat2cell(rand(n,1),ones(n,1),1);
[edges(:).weight]=deal(m{:});
Also I found that this is not nearly as fast as the for loop on my computer (~0.35s for deal versus ~0.05s for the loop) presumably because of the call to mat2cell. The difference in speed is reduced if you use this more than once but it stays in favor of the for loop.
You could simply write:
edges = struct('weight', num2cell(rand(1000000,1)));
Is there something requiring you to particularly use a struct in this way?
Consider replacing your array of structs with simply a separate array for each member of the struct.
weights = rand(1, 1000);
If you have a struct member which is an array, you can make an extra dimension:
matrices = rand(3, 3, 1000);
If you just want to keep things neat, you could put these arrays into a struct:
edges.weights = weights;
edges.matrices = matrices;
But if you need to keep an array of structs, I think you can do
[edges.weight] = rand(1, 1000);
The reason that the structs in your example don't get initialized properly is that the syntax you're using only addresses the very last element in the struct array. For a nonexistent array, the rest of them get implicitly filled in with structs that have the default value [] in all their fields.
To make this behavior clear, try doing a short array with clear edges; edges(1:3) = struct('weight',1.0) and looking at each of edges(1), edges(2), and edges(3). The edges(3) element has 1.0 in its weight like you want; the others have [].
The syntax for efficiently initializing an array of structs is one of these.
% Using repmat and full assignment
edges = repmat(struct('weight', 1.0), [1 1000]);
% Using indexing
% NOTE: Only correct if variable is uninitialized!!!
edges(1:1000) = struct('weight', 1.0); % QUESTIONABLE
Note the 1:1000 instead of just 1000 when indexing in to the uninitialized edges array.
There's a problem with the edges(1:1000) form: if edges is already initialized, this syntax will just update the values of selected elements. If edges has more than 1000 elements, the others will be left unchanged, and your code will be buggy. Or if edges is a different type, you could get an error or weird behavior depending on its existing datatype. To be safe, you need to do clear edges before initializing using the indexing syntax. So it's better to just do full assignment with the repmat form.
BUT: Regardless of how you initialize it, an array-of-structs like this is always going to be inherently slow to work with for larger data sets. You can't do real "vectorized" operations on it because your primitive arrays are all broken up in to separate mxArrays inside each struct element. That includes the field assignment in your question – it is not possible to vectorize that. Instead, you should switch a struct-of-arrays like Brian L's answer suggests.
You can use a reverse struct and then do all operations without any errors
like this
x.E(1)=1;
x.E(2)=3;
x.E(2)=8;
x.E(3)=5;
and then the operation like the following
x.E
ans =
3 8 5
or like this
x.E(1:2)=2
x =
E: [2 2 5]
or maybe this
x.E(1:3)=[2,3,4]*5
x =
E: [10 15 20]
It is really faster than for_loop and you do not need other big functions to slow your program.

Making outputs from an array in Matlab?

I have an array of 20 items long and I would like to make them an output so I can input it into another program.
pos = [0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,]
I would like to use this as inputs for another program
function [lowest1, lowest2, highest1, highest2, pos(1), pos(2),... pos(20)]
I tried this and it does not work is there another way to do this?
I'm a little confused why you'd want to do that. Why would you want 20 outputs when you could just return pos as a single output containing 20 elements?
However, that said, you can use the specially named variable varargout as the last output variable, and assign a cell to it, and the elements of the cell will be expanded into outputs of the function. Here's an example:
function [lowest1, lowest2, highest1, highest2, varargout] = myfun
% First set lowest1, lowest2, highest1, highest2, and pos here, then:
varargout = num2cell(pos);
If what you're trying to do is re-arrange your array to pass it to another Matlab function, here it is.
As one variable:
s=unique(pos);
q=[s(1) s(2) s(end-1) s(end) pos];
otherFunction(q);
As 24 variables:
s=unique(pos); otherFunction(s(1), s(2), s(end-1), s(end), pos(1), pos(2), pos(3), pos(4), pos(5), pos(6), pos(7), pos(8), pos(9), pos(10), pos(11), pos(12), pos(13), pos(14), pos(15), pos(16), pos(17), pos(18), pos(19), pos(20));
I strongly recommend the first alternative.
Here are two examples of how to work with this single variable. You can still access all of its parts.
Example 1: Take the mean of all of its parts.
function otherFunction(varargin)
myVar=cell2mat(varargin);
mean(myVar)
end
Example 2: Separate the variable into its component parts. In our case creates 24 variables named 'var1' to 'var24' in your workspace.
function otherFunction(varargin)
for i=1:nargin,
assignin('base',['var' num2str(i)],varargin{i});
end
end
Hope this helps.
Consider using a structure in order to return that many values from a function. Carefully chosen field names make the "return value" self declarative.
function s = sab(a,b)
s.a = a;
s.b = b;

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