Should sympref Change the Behavior of rectangularPulse()?

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Paul 2021-8-1

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https://ww2.mathworks.cn/matlabcentral/answers/890227-should-sympref-change-the-behavior-of-rectangularpulse

评论： Paul 2021-8-1

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The doc page for rectangularPulse states:

If x = a or x = b and a <> b, then the rectangular pulse function equals 1/2.

Verify this statement:

rectangularPulse(0,1,[0 1])

ans = 1×2

0.5000 0.5000

syms t real

h(t) = heaviside(t) - heaviside(t-1);

h([0 1])

ans =

But changing the sympref for HeavisideAtOrigin yields:

sympref('HeavisideAtOrigin',sym(1));

rectangularPulse(0,1,[0 1])

ans = 1×2

1 1

h([0 1])

ans =

So rectangularPulse appears to not be the difference between heavisides. But the sympref('HeavisideAtOrigin') does impact the edge values of rectangularPulse. Is this expected behavior and a deficiency in the documentation?

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Walter Roberson 2021-8-1

在 MATLAB Online 中打开

By the way, you can see the actual code by using

regexprep(char(evalin(symengine, 'expose(rectangularPulse)')),'\\n','\n')

but it is not straight forward.

Paul 2021-8-1

After running that command, it sure looks like that under "normal" conditions, the edge values are heaviside(0). So that would be an oversight in the documentation.

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