Plotting implicit functions via fimplicit

Question

Michael Haag 2023-9-20

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2023792-plotting-implicit-functions-via-fimplicit

编辑： Voss 2023-9-20

采纳的回答： Voss

在 MATLAB Online 中打开

Hello,

I have the following anonymous function:

L = 5000;
F = 11500;
E = 70000;
cP = @(B,H)[H.*(B.^-1)-6, 6.*F.*L.*((B.*H.^2).^-1)-50,...
            4.*F.*L.^3.*((E.*B.*H.^3).^-1)-12.7];

Now I want to plot each curve in the vector via

interval = [0 500 0 500];
fimplicit(cP,interval);

This does not work. I suppose fimplicit expects only one curve and could not handle the vector containig the curves.

So, how can I access the each curve, i.e H.*(B.^-1)-6=0, which are in the vector and pass it to fimplicit so that fimplicit can handle it?

Thanks in advance,

Michael

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Answer 1

Voss 2023-9-20

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2023792-plotting-implicit-functions-via-fimplicit#answer_1314672

在 MATLAB Online 中打开

Apparently (this behavior appears to be undocumented), you can pass a cell array of function handles to fimplicit, as in:

L = 5000;

F = 11500;

E = 70000;

interval = [0 500 0 500];

% cP = @(B,H)[H.*(B.^-1)-6, 6.*F.*L.*((B.*H.^2).^-1)-50,...

% 4.*F.*L.^3.*((E.*B.*H.^3).^-1)-12.7];

cP = { ...

@(B,H)H.*(B.^-1)-6, ...

@(B,H)6.*F.*L.*((B.*H.^2).^-1)-50, ...

@(B,H)4.*F.*L.^3.*((E.*B.*H.^3).^-1)-12.7, ...

}

cP = 1×3 cell array

{@(B,H)H.*(B.^-1)-6} {@(B,H)6.*F.*L.*((B.*H.^2).^-1)-50} {@(B,H)4.*F.*L.^3.*((E.*B.*H.^3).^-1)-12.7}

figure

fimplicit(cP,interval);

Since it is undocumented, I don't which MATLAB versions support this, so you may have to use each one separately:

figure

for ii = 1:numel(cP)

fimplicit(cP{ii},interval);

hold on

end

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Michael Haag 2023-9-20

编辑：Michael Haag 2023-9-20

@Voss: Perfect thank you, this helps!

Interesting that fimplicit accepts a cell array of function handles.

Voss 2023-9-20

编辑：Voss 2023-9-20

You're welcome!

Yeah, I was surprised to discover (accidentally, while writing my answer) that the cell array of function handles works. The documentation lists only a function handle as the supported class for the first input to fimplicit (no mention of cell arrays):

https://www.mathworks.com/help/matlab/ref/fimplicit.html#bvds9d6-1-f

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