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inconsitent function overloading MATLAB R2017a

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Hello,
I am currently encountering problems with function overloading within MATLAB R2017a.
I try to overload common functions such as abs and max among others. It seems to be simple but in fact for me it is not.
To do this, I create specific directories OVERLOAD\@single, OVERLOAD\@int32, OVERLOAD\@uint32 and OVERLOAD\@double. abs and max functions are redefined into @double and @single.
Overloaded abs function into @single is defined as: function [ output ] = abs(x) ...
overloaded max function is defined as: function [ output ] = max(varargin) ...
After adding path to OVERLOAD parent directory at ht beginning of path, I execute "which -all" command trying to understand which function is effectively called when executing abs and max. This is what I get:
>> which abs -all;
D:\Data\OVERLOAD\@single\abs.m % single method
D:\Data\OVERLOAD\@double\abs.m % double method
built-in (C:\Program Files\Matlab\R2017a\toolbox\matlab\elfun\@double\abs) % double method
...
>> which max -all;
built-in (C:\Program Files\Matlab\R2017a\toolbox\matlab\datafun\max)
D:\Data\OVERLOAD\@single\max.m % single method
D:\Data\OVERLOAD\@double\max.m % double method
...
It seems that overloading for max function appears in second position after built-in instead of first position.
Could anyone explain me why overloading is successful for abs and fails for max ?
Thanks for your attention.
  6 Comments
Philip Borghesani
Philip Borghesani on 15 Nov 2018
Try
which max(single(1),single(1))
Or
which abs(single(1))
The default max takes multiple types but abs is overloaded for all numeric data types.
Jan
Jan on 16 Nov 2018
@Didier Billard: We do not close this question, because it might help others with similar questions. Please post your "solution" as an answer and accept it to mark this thread as "solved". Even such "wrong questions" are very useful and valuable for this forum.

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Accepted Answer

Didier Billard
Didier Billard on 16 Nov 2018
AT last, the first line displayed when executing "which max -all;" i.e.
built-in (C:\Program Files\Matlab\R2017a\toolbox\matlab\datafun\max)
does not mean that this is this code which is executing when calling max for single variables.
Thus overloading max function is successful as for abs function.

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