How to integrate 3-dimensional numerical array into one dimension using Parallel Computing Toolbox?

Question

Daiki 2021-8-9

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https://ww2.mathworks.cn/matlabcentral/answers/894972-how-to-integrate-3-dimensional-numerical-array-into-one-dimension-using-parallel-computing-toolbox

评论： Daiki 2021-8-10

采纳的回答： Chunru

在 MATLAB Online 中打开

I have a 3-dimensional array X to be numerically integrated with trapz function. The size of array is

size(X) = p,q,r

and the third dimension (size r) is to be integrated with an integral variable given by a vactor vx whose length is r. The result Y will be 2-dimensional matrix as

size(Y) = p,q

Then, how to calculate this numerical integration using GPU with Parallel Computing Toolbox?

Thank you.

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Answer 1

Chunru 2021-8-9

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https://ww2.mathworks.cn/matlabcentral/answers/894972-how-to-integrate-3-dimensional-numerical-array-into-one-dimension-using-parallel-computing-toolbox#answer_763622

在 MATLAB Online 中打开

Xd= distributed(X, 3)       % distributed along 3rd dim
Y = trapz(Xd, 3);           % trapz support parallel processing for distributed input array

It might be better to use the 1st dimension as the integration dimension.

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Chunru 2021-8-10

在 MATLAB Online 中打开

% Try the following along the 1st dim 
% The syntax with dim is for the so-called 'Composite array', see doc
% distributed
xd = distributed(rand(20,8,6));
y = squeeze(trapz(xd))
y =

    8.2293    9.7236    8.1337    7.3964    8.8491    8.7905
   11.4429    8.1487   10.3092    7.6098    9.9407    9.9593
    8.4093    9.6940    9.1529    8.2184    8.9330   10.8494
   11.1636   10.2440    9.0015    9.0076   11.0077    9.1387
   10.8180    8.4163   11.0037    9.4596   10.3310   11.7726
    9.3094   10.5408    8.0568   10.5597    8.5339   10.8676
   12.5096    8.2943   11.0609    9.3801    9.5628    9.5251
    8.4620   11.0499    8.9461    8.4494   10.8111   10.9607