Repeating the rows of an array by a number given by another array

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Consider the array:
x=[linspace(1,4,4)' linspace(5,20,4)']
x = 4×2
1 5 2 10 3 15 4 20
I would like to repeat each row by a number given by another array such as
I=[2 3 2 1]'
I = 4×1
2 3 2 1
so that at the end the first row of x is repeat twice, the second row is repeated 3 times and so on.
Is this possible without using a loop?

采纳的回答

Jan
Jan 2022-2-19
编辑:Jan 2022-2-19
Use repelem, which is the built-in efficient solution for repeating elements:
x = [linspace(1,4,4)' linspace(5,20,4)']
x = 4×2
1 5 2 10 3 15 4 20
I = [2 3 2 1];
y = repelem(x, I, 1)
y = 8×2
1 5 1 5 2 10 2 10 2 10 3 15 3 15 4 20
A speed comparison:
x = rand(1e4, 2);
I = repmat(1:10, 1, 1000);
tic
for k = 1:100
C = cell(length(I),1) ;
for i = 1:length(C)
C{i} = repmat(x(i,:),I(i),1) ;
end
C = cell2mat(C);
end
toc
tic
for k = 1:100 % Slightly modified for I is a row vector:
idx = arrayfun(@(x,y)x*ones(1,y),1:numel(I),I,'UniformOutput',false);
C = x([idx{:}],:);
end
toc
tic
for k = 1:100
C = repelem(x, I, 1);
end
toc
% R2018b:
% Elapsed time is 3.676185 seconds. loop
% Elapsed time is 6.848004 seconds. arrayfun
% Elapsed time is 0.038391 seconds. repelem

更多回答(1 个)

KSSV
KSSV 2022-2-17
x=[linspace(1,4,4)' linspace(5,20,4)'] ;
I=[2 3 2 1]' ;
C = cell(length(I),1) ;
for i = 1:length(C)
C{i} = repmat(x(i,:),I(i),1) ;
end
C = cell2mat(C)
C = 8×2
1 5 1 5 2 10 2 10 2 10 3 15 3 15 4 20
  4 个评论
Mike Croucher
Mike Croucher 2022-2-17
OK good! There has been a lot of work done by MathWorks in recent years on improving the efficiency of loops. You do not need to be afraid of them any more. In many cases, they are on par with vectorised methods.
If the algorithm can be expressed naturally as a loop, do so. Only worry about other methods if the performance is problematic.

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