Calculate the sum over a container

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<DPL>

category=Math shownamespace=false </DPL>

This code demonstrates how to calculate the sum of a container (most often an array or similar structure).

Contents

[edit] See also

[edit] Implementations

[edit] Algol 68

The following function computes the sum of the elements of the array passed to it. The type of the array elements is called NUM, which can be defined as any suitable integer or real type.

MODE NUM = INT; # type of array element #

PROC sum = ([] NUM a) NUM :
    BEGIN
        NUM result := 0;
        FOR i FROM LWB a TO UPB a DO
            result +:= a[i]
        OD;
        result
    END

For instance, the call

sum((3, 4, 5, 6))

returns 18.


[edit] C

Total of a series function. Terminate by using INT_MAX


//stdarg.h must be included for this type of function to be declared
#include <stdarg.h>

int total( int first, ... ) {
        int count = 0, sum = 0, i = first;
        va_list marker;

        va_start( marker, first );     /* Initialize variable arguments. */
        while( i != INT_MAX )
        {
                sum += i;                   //increases the sum
                i = va_arg( marker, int);   //Gets the next argument
        }
        va_end( marker );              // Resets the list
        return sum;
}

[edit] C++


#include<numeric>

sum = std::accumulate(coll.begin(),coll.end(),0);

[edit] Common Lisp


(reduce #'+ list)
(reduce #'+ list :initial-value 0) ; improved version that also works with empty lists

Another way:


(apply #'+ list)

[edit] Assembly

INT_MAX = 2147483647.

sum proc
	mov ecx,DWORD PTR [esp]
	add esp,4
	xor eax,eax
	sum_loop1:
	add eax,DWORD PTR [esp]
	add esp,4
	cmp DWORD PTR [esp],2147483647
	jne sum_loop1
	mov DWORD PTR [esp],ecx
	ret
sum endp

[edit] F#


Seq.sum container

[edit] Haskell


sum container

[edit] Java


import java.util.*;

public class Total {

        public static int total(int... values) {
                int total = 0;
                for (int i : values) total += i;
                return total;
        }

        public static void main(String[] args) {

                System.out.println("Total: %d: ", total(1,2,4,40));

        }
}

[edit] OCaml

Summing is a special case of folding the addition operator starting with zero:

# let sum = List.fold_left ( + ) 0;;
val sum : int list -> int = <fun>

For example:

# sum [1; 2; 4; 40];;
- : int = 47

[edit] Perl


use List::Util qw(sum);
sum @arr;
sum 0, @arr; # improved version that also works with empty arrays

[edit] Python

A function that sums the values in a sequence is built into python, its name is 'sum'.


assert sum([1,2,3]) == 6

A parallel to the ANSI C example given above is as follows:


import itertools
def total(*values):
  return sum(itertools.takewhile(sys.maxint.__cmp__, values))

assert total(1,2,3,sys.maxint) == 6


[edit] Ruby


class Array
def sum;     inject(0) { |s, v| s += v }; end
end

Or more concisely,


class Array
def sum;     reduce(:+); end
end

[edit] Scheme


(apply + list)

[edit] Zsh

zsum() {
	local -a array
	array=(1 2 3 4 5)
	(( sum=${(j:+:)array} ))
	return sum
}

[edit] Excel

=SUM([cells])