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Question: Is smartplot less smart?

Question:Is smartplot less smart?

sursumCorda 1229 Maple 2022
smartplot plotting assume
January 08 2023
1

The range is wrong. For details, see below, please.
 

> 

restart;
> 

assume(x, RealRange(0, 1))
> 

plot([sqrt(x*(2 - x)/3), 1 - sqrt((1 - x^2)/3)], legend = InertForm:-Display~([sqrt(x*(2 - x) %/ 3), 1 - sqrt((1 %- x^2) %/ 3)], 'inert' = false));

 
> 

smartplot([sqrt(x*(2 - x)/3), 1 - sqrt((1 - x^2)/3)]);

 
> 

smartplot([''piecewise'(And(0 <= x, x <= 1), sqrt(x*(2 - x)/3))', ''piecewise'(And(0 <= x, x <= 1), 1 - sqrt((1 - x^2)/3))']);

 
> 

smartplot(['piecewise(And(0 <= x, x <= 1), sqrt(x*(2 - x)/3))', 'piecewise(And(0 <= x, x <= 1), 1 - sqrt((1 - x^2)/3))']);

 
> 

smartplot([''piecewise''(And(0 <= x, x <= 1), sqrt(x*(2 - x)/3)), ''piecewise''(And(0 <= x, x <= 1), 1 - sqrt((1 - x^2)/3))]);

 
> 

x := 'x'NULL


 

Download SmartPlots.mw

The help page claims that smartplot(..) will call 2-D plot procedures ultimately, but why is the smartplots command incompatible with the use of assume?
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