why does it change the number when using VPA?

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roey el 11 de Jul. de 2024
Editada: Stephen23 el 11 de Jul. de 2024
why does it change the number? let alone that its not 100 digits.
clear all
s=vpa(1.316074012952492460819218901796999055160068590205822176731922658595866795197302133050743150246601931520047742334253421353091380742095,100)
s =
1.316074012952492378047963939025066792964935302734375
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Stephen23 el 11 de Jul. de 2024
Editada: Stephen23 el 11 de Jul. de 2024
"why does it change the number when using VPA?"
It doesn't. That "loss of digits" is completely unrelated to VPA.
The change of digits occurs because you are using a double numeric. All double numeric values are limited to around 16 digits of precision, regardless of how many digits you write. So your code is equivalent to this:
n = define some numeric value with around 16 digits of precision
s = vpa(n)
As you can see, VPA never even gets those 100+ digits, so it certainly can't display them!
The correct approach is to avoid using an intermediate double numeric, e.g.:
s = vpa('1.316074012952492460819218901796999055160068590205822176731922658595866795197302133050743150246601931520047742334253421353091380742095',100)
s =
1.316074012952492460819218901796999055160068590205822176731922658595866795197302133050743150246601932
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