Should sympref Change the Behavior of rectangularPulse()?

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Paul
Paul 2021년 8월 1일
댓글: Paul 2021년 8월 1일
  • 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
Walter Roberson 2021년 8월 1일
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
Paul 2021년 8월 1일
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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