Sum of list (or matrix) elements transformed by a function : count

### 2.37.25 Sum of list (or matrix) elements transformed by a function : `count`

`count` takes as argument : a real function `f` and a list `l` of length `n` (or a matrix `A` of dimension `p*q`).
`count` applies the function to the list (or matrix) elements and returns their sum, i.e. :
`count(f,l)` returns `f(l[0])+f(l[1])+...+f(l[n-1])` or
`count(f,A)` returns `f(A[0,0])+....+f(A[p-1,q-1])`.
If `f` is a boolean function `count` returns the number of elements of the list (or of the matrix) for which the boolean function is true.
Input :

`count((x)->x,[2,12,45,3,7,78])`

Output :

`147`

because : 2+12+45+3+7+78=147.
Input :

`count((x)->x<12,[2,12,45,3,7,78])`

Output :

`3`

Input :

`count((x)->x==12,[2,12,45,3,7,78])`

Output :

`1`

Input :

`count((x)->x>12,[2,12,45,3,7,78])`

Output :

`2`

Input :

`count(x->x```^```2,[3,5,1])`

Output :

`35`

Indeed 32+52+11=35.
Input :

`count(id,[3,5,1])`

Output :

`9`

Indeed, `id` is the identity functions and 3+5+1=9.
Input :

`count(1,[3,5,1])`

Output :

`3`

Indeed, `1` is the constant function equal to 1 and 1+1+1=3.