How to make a vector with elements +1 and -1 only?

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Hello all,
I am trying to make a vector of dimension 1X1000 with values +1 and -1 in MATLAB but not getting it correctly. Any help in this regard will be highly appreciated.

Accepted Answer

Parag Jhunjhunwala
Parag Jhunjhunwala on 23 Jun 2023
Edited: Parag Jhunjhunwala on 23 Jun 2023
The following code creates a vector of dimension 1X1000 with values -1 and +1:
vect=ones(1,1000)-2*(randi(2,1,1000)-1);

More Answers (4)

Ronit
Ronit on 23 Jun 2023
Hi,
Try out the following code to create a vector of dimension 1X1000 with values +1 and -1.
for n=1:1000
A(n)= randi([-1 1]);
end
  2 Comments
charu shree
charu shree on 23 Jun 2023
Thank u so much Ronit sir... but cant we vectorize it...
Rik
Rik on 23 Jun 2023
As you can see, the vectorized call is about 4 times faster than the loop, but without pre-allocation it is 14 times faster.
This is of course ignoring the fact that this code produces zeros as well
fprintf('%.2f microseconds',timeit(@fun1)*1e6)
41.17 microseconds
fprintf('%.2f microseconds',timeit(@fun2)*1e6)
9.49 microseconds
fprintf('%.2f microseconds',timeit(@fun3)*1e6)
144.47 microseconds
function fun1
%proper loop
A = zeros(1,1000);
for n=1:1000
A(n)= randi([-1 1]);
end
end
function fun2
% vectorized call
A = randi([-1 1],1,1000);
end
function fun3
% No pre-allocation
for n=1:1000
A(n)= randi([-1 1]);
end
end

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Lakshay Rose
Lakshay Rose on 23 Jun 2023
Hi charu shree,
As per my understanding you are trying to make a vector of dimension [1X1000] with +1 and -1 as the only elements.
To achieve this you can use the “randi” function as shown in the below code –
vector = 2 * randi([0, 1], [1, 1000]) - 1;
You can also refer to the documentation of “randi” for further understanding –

Rahul
Rahul on 23 Jun 2023
If you are looking for creating a vector of dimension 1 x 1000 with +1 and -1 as alternate elements for the vector, then the below given code should work for you.
vector = ones(1, 1000);
vector(2:2:end) = -1;
% This vector has +1 in odd index positions and -1 in even index positions
If you want +1 to be in even index positions and -1 to be in odd index positions, then you can change the code to be
vector = ones(1, 1000);
vector(1:2:end) = -1;
If you want to make 2 separate vectors, one with +1 and other with -1, then you can try out this code
Vector_ones = ones(1, 1000);
Vector_minus_ones(1,1000)* -1;

Rik
Rik on 23 Jun 2023
Since the other answers all take (more or less) the same approach, I wanted to add an alternative. In this specific case the overhead is not worth it, but you can use randi to select from a list of allowed values, instead of converting the list it returns to the number space you need. In this case it is easy to do the conversion, but if you have more than 2 allowed values, the answer might be tricky.
sz = [1 1000];
fun_index(sz)
ans = 1×1000
1 -1 -1 1 -1 1 -1 1 -1 1 1 -1 1 1 -1 1 1 1 1 1 1 -1 1 -1 -1 1 -1 -1 -1 1
Just to show this is slower than the calculated conversion (although not by too much):
timeit(@() fun_calc(sz))
ans = 1.4015e-05
timeit(@() fun_index(sz))
ans = 1.7584e-05
function A=fun_calc(sz)
A = (randi([0 1],sz)-0.5)*2;
end
function A=fun_index(sz)
AllowedValues = [-1 1];
A = AllowedValues(randi(end,sz));
end

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