Question: why has works different on seemingly same input?

I obtained a Plot p, then trying to find if it has Float(undefined) in it. I am basically trying to find if DEplot returns an empty plot or not. I found that it the plot structure has HFlat(undefined) then this seems to imply an empty plot. So I said, then in the code I can check for HFlat(undefined) in the plot and it is there, then I know the plot is empty.

But this check is not working.

I used has(....,Float(undefined)) and this returns false. But if I copy and paste part of the plot structure and try the check on the copy, it gives true. 

I do not understand what is the difference. First here is screen shot, and below if complete code to reproduce.

restart;
ode2:=2*y(t)+t*diff(y(t),t) = t^2-t+1;

p:=DEtools:-DEplot(ode2,y(t),t=0..3.5,y=0..3,
                        linecolor = red,                        
                        arrowsize ='magnitude',
                        numpoints = 200 ,
                        axes = boxed,color = ('magnitude[legacy]')):


p0:=Array(1 .. 3,1 .. 2,{(1, 1) = HFloat(undefined), (1, 2) = HFloat(undefined), (2
, 1) = HFloat(undefined), (2, 2) = HFloat(undefined), (3, 1) = HFloat(undefined
), (3, 2) = HFloat(undefined)},datatype = float[8],order = C_order);
whattype(p0);
has(p0,HFloat(undefined)) 

p1:=op([1,2],p);
whattype(p1);
has(p1,HFloat(undefined)) 

Worksheet attached also.

Maple 2023.2 on windows 10
 

``

restart;

185876

ode2:=2*y(t)+t*diff(y(t),t) = t^2-t+1;
p:=DEtools:-DEplot(ode2,y(t),t=0..3.5,y=0..3,
                        linecolor = red,                        
                        arrowsize ='magnitude',
                        numpoints = 200 ,
                        axes = boxed,color = ('magnitude[legacy]')):




 

2*y(t)+t*(diff(y(t), t)) = t^2-t+1

p0:=Array(1 .. 3,1 .. 2,{(1, 1) = HFloat(undefined), (1, 2) = HFloat(undefined), (2
, 1) = HFloat(undefined), (2, 2) = HFloat(undefined), (3, 1) = HFloat(undefined
), (3, 2) = HFloat(undefined)},datatype = float[8],order = C_order);
whattype(p0);
has(p0,HFloat(undefined))

Matrix(3, 2, {(1, 1) = HFloat(HFloat(undefined)), (1, 2) = HFloat(HFloat(undefined)), (2, 1) = HFloat(HFloat(undefined)), (2, 2) = HFloat(HFloat(undefined)), (3, 1) = HFloat(HFloat(undefined)), (3, 2) = HFloat(HFloat(undefined))})

hfarray

true

p1:=op([1,2],p);
whattype(p1);
has(p1,HFloat(undefined))

Matrix(3, 2, {(1, 1) = HFloat(HFloat(undefined)), (1, 2) = HFloat(HFloat(undefined)), (2, 1) = HFloat(HFloat(undefined)), (2, 2) = HFloat(HFloat(undefined)), (3, 1) = HFloat(HFloat(undefined)), (3, 2) = HFloat(HFloat(undefined))})

hfarray

false

 


question is: Why the above give different result? And what is the correct way to check if the output plot from DEplot is empty or not (in code)?

Download why_has_works_different.mw

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