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> retart;

Maple Equation

Functional object programming with Maple

Author: Charles-Albert LEHALLE, PhD

Simplest functional object

> simplest_fo:=proc(n) local this, set_;
this := [n];
set_:=proc( p); this[1]:=p; end proc;
table(['get'= (x->this[1]), 'set'= set_]);
end proc;

Maple Equation

> foo:=simplest_fo( 2);

Maple Equation

> foo['get']();

Maple Equation

> foo['set'](5);

Maple Equation

> foo['get']();

Maple Equation

Application to probability distributions

> G:=(m,s)->(t->(exp(-(t-m)^2/(2*s^2))/(sqrt(2*Pi)*s)));

Maple Equation

> structured_distribution:=proc( f, A, B)
table(['density'= (x->f(x)), 'repartition'=(x->Int(f(t),t=A..x)), 'plot'=(t->plot(f(x),x=A..B))]);
end proc:

> SD:=structured_distribution( G(0,1), -infinity, infinity):

> SD['density'](1);

Maple Equation

> SD['repartition'](1);

Maple Equation

> SD['plot']();

Maple Plot

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