Sum and product of an array

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Task
Sum and product of an array
You are encouraged to solve this task according to the task description, using any language you may know.

Compute the sum and product of an array of integers.

Contents

[edit] 4D

ARRAY INTEGER($list;0)
For ($i;1;5)
APPEND TO ARRAY($list;$i)
End for
 
$sum:=0
$product:=1
For ($i;1;Size of array($list))
$sum:=$var+$list{$i}
$product:=$product*$list{$i}
End for

[edit] ActionScript

package {
import flash.display.Sprite;
 
public class SumAndProduct extends Sprite
{
public function SumAndProduct()
{
var arr:Array = [1, 2, 3, 4, 5];
var sum:int = 0;
var prod:int = 1;
 
for (var i:int = 0; i < arr.length; i++)
{
sum += arr[i];
prod *= arr[i];
}
 
trace("Sum: " + sum); // 15
trace("Product: " + prod); // 120
}
}
}

[edit] Ada

type Int_Array is array(Integer range <>) of Integer;
 
array : Int_Array := (1,2,3,4,5,6,7,8,9,10);
Sum : Integer := 0;
for I in array'range loop
Sum := Sum + array(I);
end loop;

Define the product function

function Product(Item : Int_Array) return Integer is
Prod : Integer := 1;
begin
for I in Item'range loop
Prod := Prod * Item(I);
end loop;
return Prod;
end Product;

This function will raise the predefined exception Constraint_Error if the product overflows the values represented by type Integer

[edit] ALGOL 68

main:(
INT default upb := 3;
MODE INTARRAY = [default upb]INT;
 
INTARRAY array = (1,2,3,4,5,6,7,8,9,10);
INT sum := 0;
FOR i FROM LWB array TO UPB array DO
sum +:= array[i]
OD;
 
# Define the product function #
PROC int product = (INTARRAY item)INT:
(
INT prod :=1;
FOR i FROM LWB item TO UPB item DO
prod *:= item[i]
OD;
prod
) # int product # ;
printf(($" Sum: "g(0)$,sum,$", Product:"g(0)";"l$,int product(array)))
)

Output:

Sum: 55, Product:3628800;

[edit] APL

Works with: APL2

      sum  ←  +/
prod ← ×/
 
list ← 1 2 3 4 5
 
sum list
15
 
prod list
120

[edit] AppleScript

set array to {1, 2, 3, 4, 5}
set sum to 0
set product to 1
repeat with i in array
set sum to sum + i
set product to product * i
end repeat

[edit] AutoHotkey

numbers = 1,2,3,4,5
product := 1
loop, parse, numbers, `,
{
sum += A_LoopField
product *= A_LoopField
}
msgbox, sum = %sum%`nproduct = %product%

[edit] AWK

For array input, it is easiest to "deserialize" it from a string with the split() function.

$ awk 'func sum(s){split(s,a);r=0;for(i in a)r+=a[i];return r}{print sum($0)}'
1 2 3 4 5 6 7 8 9 10
55
 
$ awk 'func prod(s){split(s,a);r=1;for(i in a)r*=a[i];return r}{print prod($0)}'
1 2 3 4 5 6 7 8 9 10
3628800

[edit] BASIC

Works with: QuickBasic version 4.5

10 REM Create an array with some test DATA in it
20 DIM ARRAY(5)
30 FOR I = 1 TO 5: READ ARRAY(I): NEXT I
40 DATA 1, 2, 3, 4, 5
50 REM Find the sum of elements in the array
60 SUM = 0
65 PRODUCT = 1
70 FOR I = 1 TO 5
72 SUM = SUM + ARRAY(I)
75 PRODUCT = PRODUCT + ARRAY(I)
77 NEXT I
80 PRINT "The sum is ";SUM;
90 PRINT " and the product is ";PRODUCT

Works with: FreeBASIC

dim array(5) as integer = { 1, 2, 3, 4, 5 }
 
dim sum as integer = 0
dim prod as integer = 1
for index as integer = lbound(array) to ubound(array)
sum += array(index)
prod *= array(index)
next

[edit] C

/* using pointer arithmetic (because we can, I guess) */
int arg[] = { 1,2,3,4,5 };
int arg_length = sizeof(arg)/sizeof(arg[0]);
int *end = arg+arg_length;
int sum = 0, prod = 1;
int *p;
 
for (p = arg; p!=end; ++p) {
sum += *p;
prod *= *p;
}

[edit] C++

Library: STL

#include <numeric>
#include <functional>
 
int arg[] = { 1, 2, 3, 4, 5 };
int sum = std::accumulate(arg, arg+5, 0, std::plus<int>());
// or just
// std::accumulate(arg, arg + 5, 0);
// since plus() is the default functor for accumulate
int prod = std::accumulate(arg, arg+5, 1, std::multiplies<int>());

Template alternative:

// this would be more elegant using STL collections
template <typename T> T sum (const T *array, const unsigned n)
{
T accum = 0;
for (unsigned i=0; i<n; i++)
accum += array[i];
return accum;
}
template <typename T> T prod (const T *array, const unsigned n)
{
T accum = 1;
for (unsigned i=0; i<n; i++)
accum *= array[i];
return accum;
}
 
#include <iostream>
using std::cout;
using std::endl;
 
int main ()
{
int aint[] = {1, 2, 3};
cout << sum(aint,3) << " " << prod(aint, 3) << endl;
float aflo[] = {1.1, 2.02, 3.003, 4.0004};
cout << sum(aflo,4) << " " << prod(aflo,4) << endl;
return 0;
}

[edit] C#

int sum = 0, prod = 1;
int[] arg = { 1, 2, 3, 4, 5 };
foreach (int value in arg) {
sum += value;
prod *= value;
}

[edit] Alternative using Linq (C# 3)

Works with: C# version 3

int[] arg = { 1, 2, 3, 4, 5 };
int sum = arg.Sum();
int prod = arg.Aggregate((runningProduct, nextFactor) => runningProduct * nextFactor);

[edit] Clean

array = {1, 2, 3, 4, 5}
Sum = sum [x \\ x <-: array]
Prod = foldl (*) 1 [x \\ x <-: array]

[edit] Clojure

 
(defn sum [vals] (reduce + vals))
 
(defn product [vals] (reduce * vals))
 

[edit] ColdFusion

Sum of an Array,

<cfset Variables.myArray = [1,2,3,4,5,6,7,8,9,10]>
<cfoutput>#ArraySum(Variables.myArray)#</cfoutput>

Product of an Array,

<cfset Variables.myArray = [1,2,3,4,5,6,7,8,9,10]>
<cfset Variables.Product = 1>
<cfloop array="#Variables.myArray#" index="i">
<cfset Variables.Product *= i>
</cfloop>
<cfoutput>#Variables.Product#</cfoutput>

[edit] Common Lisp

(let ((data #(1 2 3 4 5)))     ; the array
(values (reduce #'+ data) ; sum
(reduce #'* data))) ; product

[edit] D

auto sum = 0, prod = 1;
auto array = [1, 2, 3, 4, 5];
foreach(v; array) {
sum += v;
prod *= v;
}

Compute sum and product of array in one pass using std.algorithm:

auto array = [1, 2, 3, 4, 5]; 
auto r = reduce!("a + b", "a * b")(0, 1, array); // 0 and 1 are seeds for corresponding functions
writefln("Sum: ", r._0); // Results are stored in a tuple
writefln("Product: ", r._1);

[edit] Delphi

var
Ints : array[1..5] of integer = (1,2,3,4,5) ;
i,Sum : integer = 0 ;
Prod : integer = 1 ;
begin
for i := 1 to length(ints) do begin
inc(sum,ints[i]) ;
prod := prod * ints[i]
end;
end;

[edit] E

pragma.enable("accumulator")
accum 0 for x in [1,2,3,4,5] { _ + x }
accum 1 for x in [1,2,3,4,5] { _ * x }

[edit] Emacs Lisp

Works with: XEmacs version version 21.5.21

(setq array [1 2 3 4 5])
(eval (concatenate 'list '(+) array))
(eval (concatenate 'list '(*) array))

[edit] Erlang

Using the standard libraries:

% create the list:
L = lists:seq(1, 10).
 
% and compute its sum:
S = lists:sum(L).
P = lists:foldl(fun (X, P) -> X * P end, 1, L).

To compute sum and products in one pass:

 
{Prod,Sum} = lists:foldl(fun (X, {P,S}) -> {P*X,S+X} end, {1,0}, lists:seq(1,10)).

Or defining our own versions:

-module(list_sum).
-export([sum_rec/1, sum_tail/1]).
 
% recursive definition:
sum_rec([]) ->
0;
sum_rec([Head|Tail]) ->
Head + sum_rec(Tail).
 
% tail-recursive definition:
sum_tail(L) ->
sum_tail(L, 0).
sum_tail([], Acc) ->
Acc;
sum_tail([Head|Tail], Acc) ->
sum_tail(Tail, Head + Acc).

[edit] F#

 
let numbers = [| 1..10 |]
let sum = numbers |> Array.sum
let product = numbers |> Array.fold (*) 1

[edit] Factor

1 5 1 <range> [ sum . ] [ product . ] bi
15 120
{ 1 2 3 4 } [ sum ] [ product ] bi
10 24

sum and product are defined in the sequences vocabulary:

: sum ( seq -- n ) 0 [ + ] reduce ;
: product ( seq -- n ) 1 [ * ] reduce ;

[edit] Forth

: third ( a b c -- a b c a ) 2 pick ;
: reduce ( xt n addr cnt -- n' ) \ where xt ( a b -- n )
cells bounds do i @ third execute cell +loop nip ;
 
create a 1 , 2 , 3 , 4 , 5 ,
 
' + 0 a 5 reduce . \ 15
' * 1 a 5 reduce . \ 120

[edit] Fortran

In ISO Fortran 90 and later, use SUM and PRODUCT intrinsics:

integer, dimension(10) :: a = (/ (i, i=1, 10) /)
integer :: sresult, presult
 
sresult = sum(a);
presult = product(a);

[edit] Groovy

Groovy adds a "sum()" method for collections, but not a "product()" method:

[1,2,3,4,5].sum()

However, for general purpose "reduction" or "folding" operations, Groovy does provide an "inject()" method for collections similar to "inject" in Ruby.

[1,2,3,4,5].inject(0) { sum, val -> sum + val }
[1,2,3,4,5].inject(1) { prod, val -> prod * val }

[edit] Haskell

For lists, sum and product are already defined in the Prelude:

values = [1..10]
 
s = sum values -- the easy way
p = product values
 
s' = foldl (+) 0 values -- the hard way
p' = foldl (*) 1 values

To do the same for an array, just convert it lazily to a list:

import Data.Array
 
values = listArray (1,10) [1..10]
 
s = sum . elems $ values
p = product . elems $ values

[edit] HicEst

array = $ ! 1, 2, ..., LEN(array)
 
sum = SUM(array)
 
product = 1 ! no built-in product function in HicEst
DO i = 1, LEN(array)
product = product * array(i)
ENDDO
 
WRITE(ClipBoard, Name) n, sum, product ! n=100; sum=5050; product=9.33262154E157;

[edit] IDL

array = [3,6,8]
print,total(array)
print,product(array)

[edit] Icon and Unicon

[edit] Icon

The program below prints the sum and product of the arguments to the program.

procedure main(arglist)
every ( sum := 0 ) +:= !arglist
every ( prod := 1 ) *:= !arglist
write("sum := ", sum,", prod := ",prod)
end

[edit] Unicon

This Icon solution works in Unicon.

[edit] J

sum     =: +/
product =: */

For example:

   sum 1 3 5 7 9 11 13
49
product 1 3 5 7 9 11 13
135135
 
a=: 3 10 ?@$ 100 NB. random array
a
90 47 58 29 22 32 55 5 55 73
58 50 40 5 69 46 34 40 46 84
29 8 75 97 24 40 21 82 77 9
 
sum a
177 105 173 131 115 118 110 127 178 166
product a
151380 18800 174000 14065 36432 58880 39270 16400 194810 55188
 
sum"1 a
466 472 462
product"1 a
5.53041e15 9.67411e15 1.93356e15

[edit] Java

Works with: Java version 1.5+

public class SumProd{
public static void main(String[] args){
int sum= 0;
int prod= 1
int[] arg= {1,2,3,4,5};
for (int i: arg) {
sum+= i;
prod*= i;
}
}
}

[edit] JavaScript

var array = [1, 2, 3, 4, 5];
var sum = 0, prod = 1;
for(var i in array) {
sum += array[i];
prod *= array[i];
}
alert(sum + " " + prod);

[edit] Logo

print apply "sum arraytolist {1 2 3 4 5}
print apply "product arraytolist {1 2 3 4 5}

[edit] Lua

 
function sumf(a, ...) return a and a + sumf(...) or 0 end
function sumt(t) return sumf(unpack(t)) end
function prodf(a, ...) return a and a * prodf(...) or 1 end
function prodt(t) return prodf(unpack(t)) end
 
print(sumt{1, 2, 3, 4, 5})
print(prodt{1, 2, 3, 4, 5})

[edit] Lucid

prints a running sum and product of sequence 1,2,3...

[%sum,product%]
where
x = 1 fby x + 1;
sum = 0 fby sum + x;
product = 1 fby product * x
end

[edit] Mathematica

Mathematica provides many ways of doing the sum of an array (any kind of numbers or symbols):

a = {1, 2, 3, 4, 5}
Plus @@ a
Apply[Plus, a]
Total[a]
Total@a
a // Total
Sum[a[[i]], {i, 1, Length[a]}]
Sum[i, {i, a}]

all give 15. For product we also have a couple of choices:

a = {1, 2, 3, 4, 5}
Times @@ a
Apply[Times, a]
Product[a[[i]], {i, 1, Length[a]}]
Product[i, {i, a}]

all give 120.

[edit] MATLAB

These two function are built into MATLAB as the "sum(array)" and "prod(array)" functions.

Sample Usage:

>> array = [1 2 3;4 5 6;7 8 9]
 
array =
 
1 2 3
4 5 6
7 8 9
 
>> sum(array,1)
 
ans =
 
12 15 18
 
>> sum(array,2)
 
ans =
 
6
15
24
 
>> prod(array,1)
 
ans =
 
28 80 162
 
>> prod(array,2)
 
ans =
 
6
120
504

[edit] MAXScript

arr = #(1, 2, 3, 4, 5)
sum = 0
for i in arr do sum += i
product = 1
for i in arr do product *= i

[edit] MUMPS

 
SUMPROD(A)
 ;Compute the sum and product of the numbers in the array A
NEW SUM,PROD,POS
 ;SUM is the running sum,
 ;PROD is the running product,
 ;POS is the position within the array A
SET SUM=0,PROD=1,POS=""
FOR SET POS=$ORDER(A(POS)) Q:POS="" SET SUM=SUM+A(POS),PROD=PROD*A(POS)
WRITE !,"The sum of the array is "_SUM
WRITE !,"The product of the array is "_PROD
KILL SUM,PROD,POS
QUIT
Example:
USER>SET C(-1)=2,C("A")=3,C(42)=1,C(0)=7
 
USER>D SUMPROD^ROSETTA(.C)
 
The sum of the array is 13
The product of the array is 42

Note - the string "A" converts to 0 when doing mathematical operations.

USER>SET C(-1)=2,C("A")="3H",C(42)=.1,C(0)=7.0,C("B")="A"
 
USER>D SUMPROD^ROSETTA(.C)
 
The sum of the array is 12.1
The product of the array is 0

[edit] Nial

Nial being an array language, what applies to individual elements are extended to cover array operations by default strand notation

+ 1 2 3
= 6
* 1 2 3
= 6

array notation

+ [1,2,3]

grouped notation

(* 1 2 3)
= 6
* (1 2 3)
= 6

(All these notations are equivalent)

[edit] Modula-3

MODULE Sumprod EXPORTS Main;
 
FROM IO IMPORT Put;
FROM Fmt IMPORT Int;
 
VAR a := ARRAY [1..5] OF INTEGER {1, 2, 3, 4, 5};
VAR sum: INTEGER := 0;
VAR prod: INTEGER := 1;
 
BEGIN
FOR i := FIRST(a) TO LAST(a) DO
INC(sum, a[i]);
prod := prod * a[i];
END;
Put("Sum of array: " & Int(sum) & "\n");
Put("Product of array: " & Int(prod) & "\n");
END Sumprod.

Output:

Sum of array: 15
Product of array: 120

[edit] Objective-C

Works with: GCC version 4.0.1 (apple) Sum:

- (float) sum:(NSMutableArray *)array
{
int i, sum, value;
sum = 0;
value = 0;
 
for (i = 0; i < [array count]; i++) {
value = [[array objectAtIndex: i] intValue];
sum += value;
}
 
return suml;
}

Product:

- (float) prod:(NSMutableArray *)array
{
int i, prod, value;
prod = 0;
value = 0;
 
for (i = 0; i < [array count]; i++) {
value = [[array objectAtIndex: i] intValue];
prod *= value;
}
 
return suml;
}

[edit] OCaml

[edit] Arrays

(* ints *)
let a = [| 1; 2; 3; 4; 5 |];;
Array.fold_left (+) 0 a;;
Array.fold_left ( * ) 1 a;;
(* floats *)
let a = [| 1.0; 2.0; 3.0; 4.0; 5.0 |];;
Array.fold_left (+.) 0.0 a;;
Array.fold_left ( *.) 1.0 a;;

[edit] Lists

(* ints *)
let x = [1; 2; 3; 4; 5];;
List.fold_left (+) 0 x;;
List.fold_left ( * ) 1 x;;
(* floats *)
let x = [1.0; 2.0; 3.0; 4.0; 5.0];;
List.fold_left (+.) 0.0 x;;
List.fold_left ( *.) 1.0 x;;

[edit] Octave

a = [ 1, 2, 3, 4, 5, 6 ];
b = [ 10, 20, 30, 40, 50, 60 ];
vsum = a + b;
vprod = a .* b;

[edit] Oz

Calculations like this are typically done on lists, not on arrays:

declare
Xs = [1 2 3 4 5]
Sum = {FoldL Xs Number.'+' 0}
Product = {FoldL Xs Number.'*' 1}
in
{Show Sum}
{Show Product}

If you are actually working with arrays, a more imperative approach seems natural:

declare
Arr = {Array.new 1 3 0}
Sum = {NewCell 0}
in
Arr.1 := 1
Arr.2 := 2
Arr.3 := 3
 
for I in {Array.low Arr}..{Array.high Arr} do
Sum := @Sum + Arr.I
end
{Show @Sum}

[edit] Perl

my ($sum, $prod) = (0, 1);
my @list = (1, 2, 3);
$sum += $_ foreach @list;
$prod *= $_ foreach @list;

Alternate: Library: List::UtilUtil

use List::Util qw(sum reduce);
 
my @list = (1, 2, 3);
my $sum1 = sum 0, @list; # 0 identity to allow empty list
my $sum2 = reduce { $a + $b } 0, @list;
my $product = reduce { $a * $b } 1, @list;

[edit] Perl 6

Works with: Rakudo version #21 "Seattle"

my @ary = 1, 5, 10, 100;
say 'Sum: ', [+] @ary;
say 'Product: ', [*] @ary;

[edit] PHP

$array = array(1,2,3,4,5,6,7,8,9);
echo array_sum($array);
echo array_product($array);

[edit] PicoLisp

(let Data (1 2 3 4 5)
(cons
(apply + Data)
(apply * Data) ) )

Output:

(15 . 120)

[edit] PL/I

 
declare A(10) fixed binary static initial
(1, 2, 3, 4, 5, 6, 7, 8, 9, 10);
 
put skip list (sum(A));
put skip list (prod(A));
 

[edit] Pop11

Simple loop:

lvars i, sum = 0, prod = 1, ar = {1 2 3 4 5 6 7 8 9};
for i from 1 to length(ar) do
ar(i) + sum -> sum;
ar(i) * prod -> prod;
endfor;

One can alternatively use second order iterator:

lvars sum = 0, prod = 1, ar = {1 2 3 4 5 6 7 8 9};
appdata(ar, procedure(x); x + sum -> sum; endprocedure);
appdata(ar, procedure(x); x * prod -> prod; endprocedure);

[edit] PowerShell

The Measure-Object cmdlet already knows how to compute a sum:

function Get-Sum ($a) {
return ($a | Measure-Object -Sum).Sum
}

But not how to compute a product:

function Get-Product ($a) {
if ($a.Length -eq 0) {
return 0
} else {
$p = 1
foreach ($x in $a) {
$p *= $x
}
return $p
}
}

One could also let PowerShell do all the work by simply creating an expression to evaluate:

Works with: PowerShell version 2

function Get-Product ($a) {
if ($a.Length -eq 0) {
return 0
}
$s = $a -join '*'
return (Invoke-Expression $s)
}

Even nicer, however, is a function which computes both at once and returns a custom object with appropriate properties:

function Get-SumAndProduct ($a) {
$sum = 0
if ($a.Length -eq 0) {
$prod = 0
} else {
$prod = 1
foreach ($x in $a) {
$sum += $x
$prod *= $x
}
}
$ret = New-Object PSObject
$ret | Add-Member NoteProperty Sum $sum
$ret | Add-Member NoteProperty Product $prod
return $ret
}

Output:

PS> Get-SumAndProduct 5,9,7,2,3,8,4

Sum Product
--- -------
 38   60480

[edit] Prolog

sum([],0).
sum([H|T],X) :- sum(T,Y), X is H + Y.
product([],1).
product([H|T],X) :- product(T,Y), X is H * X.

test

:- sum([1,2,3,4,5,6,7,8,9],X).
X =45;
:- product([1,2,3,4,5],X).
X = 120;


Using fold

 
add(A,B,R):-
R is A + B.
 
mul(A,B,R):-
R is A * B.
 
% define fold now.
fold([], Act, Init, Init).
 
fold(Lst, Act, Init, Res):-
head(Lst,Hd),
tail(Lst,Tl),
apply(Act,[Init, Hd, Ra]),
fold(Tl, Act, Ra, Res).
 
sumproduct(Lst, Sum, Prod):-
fold(Lst,mul,1, Prod),
fold(Lst,add,0, Sum).
 
?- sumproduct([1,2,3,4],Sum,Prod).
Sum = 10,
Prod = 24 .
 
 

[edit] PostScript

 
/sumandproduct
{
/x exch def
/sum 0 def
/prod 0 def
/i 0 def
x length 0 eq
{
}
{
/prod prod 1 add def
x length{
/sum sum x i get add def
/prod prod x i get mul def
/i i 1 add def
}repeat
}ifelse
sum ==
prod ==
}def
 

[edit] PureBasic

Dim MyArray(9)
Define a, sum=0, prod=1
 
For a = 0 To ArraySize(MyArray()) ; Create a list of some random numbers
MyArray(a) = 1 + Random(9) ; Insert a number [1...10] in current element
Next
 
For a = 0 To ArraySize(MyArray()) ; Calculate Sum and Product of this Array
sum + MyArray(a)
prod * MyArray(a)
Next
 
Debug "The sum is " + Str(sum) ; Present the results
Debug "Product is " + Str(prod)

[edit] Python

Works with: Python version 2.5

numbers = [1, 2, 3]
total = sum(numbers)
 
product = 1
for i in numbers:
product *= i

Or functionally (faster but perhaps less clear): Works with: Python version 2.5

from operator import mul, add
sum = reduce(add, numbers) # note: this version doesn't work with empty lists
sum = reduce(add, numbers, 0)
product = reduce(mul, numbers) # note: this version doesn't work with empty lists
product = reduce(mul, numbers, 1)

Library: numpy

from numpy import r_
numbers = r_[1:4]
total = numbers.sum()
product = numbers.prod()

If you are summing floats in Python 2.6+, you should use math.fsum() to avoid loss of precision: Works with: Python version 2.6, 3.x

import math
total = math.fsum(floats)

[edit] R

total <- sum(1:5)
product <- prod(1:5)

[edit] Raven

0 [ 1 2 3 ] each +
1 [ 1 2 3 ] each *

[edit] REBOL

rebol [
Title: "Sum and Product"
Date: 2010-01-04
Author: oofoe
URL: http://rosettacode.org/wiki/Sum_and_product_of_array
]

 
; Simple:
 
sum: func [a [block!] /local x] [x: 0 forall a [x: x + a/1] x]
 
product: func [a [block!] /local x] [x: 1 forall a [x: x * a/1] x]
 
; Way too fancy:
 
redux: func [
"Applies an operation across an array to produce a reduced value."
a [block!] "Array to operate on."
op [word!] "Operation to perform."
/init x "Initial value (default 0)."
][if not init [x: 0] forall a [x: do compose [x (op) (a/1)]] x]
 
rsum: func [a [block!]][redux a '+]
 
rproduct: func [a [block!]][redux/init a '* 1]
 
; Tests:
 
assert: func [code][print [either do code [" ok"]["FAIL"] mold code]]
 
print "Simple dedicated functions:"
assert [55 = sum [1 2 3 4 5 6 7 8 9 10]]
assert [3628800 = product [1 2 3 4 5 6 7 8 9 10]]
 
print [crlf "Fancy reducing function:"]
assert [55 = rsum [1 2 3 4 5 6 7 8 9 10]]
assert [3628800 = rproduct [1 2 3 4 5 6 7 8 9 10]]

Output:

Simple dedicated functions:
  ok [55 = sum [1 2 3 4 5 6 7 8 9 10]]
  ok [3628800 = product [1 2 3 4 5 6 7 8 9 10]]

Fancy reducing function:
  ok [55 = rsum [1 2 3 4 5 6 7 8 9 10]]
  ok [3628800 = rproduct [1 2 3 4 5 6 7 8 9 10]]

[edit] Ruby

arr = [1,2,3,4,5]     # or ary = *1..5, or ary = (1..5).to_a
sum = arr.inject(0) { |sum, item| sum + item }
# => 15
product = arr.inject(1) { |prod, element| prod * element }
# => 120

Works with: Ruby version 1.9

arr = [1,2,3,4,5]
sum = arr.inject(0, :+)
# => 15
product = arr.inject(1, :*)
# => 120

[edit] Sather

class MAIN is
main is
a :ARRAY{INT} := |10, 5, 5, 20, 60, 100|;
sum, prod :INT;
loop sum := sum + a.elt!; end;
prod := 1;
loop prod := prod * a.elt!; end;
#OUT + sum + " " + prod + "\n";
end;
end;


[edit] Scala

val a = Array(1,2,3,4,5)
val sum = a.foldLeft(0)(_ + _)
val product = a.foldLeft(1)(_ * _)
// (_ * _) is a shortcut for {(x,y) => x * y}

It may also be done in a classic imperative way :

var sum = 0; var product = 1
for (val x <- a) sum = sum + x
for (val x <- a) product = product * x

[edit] Scheme

(apply + '(1 2 3 4 5))
(apply * '(1 2 3 4 5))

A tail-recursive solution, without the n-ary operator "trick". Because Scheme supports tail call optimization, this is as space-efficient as an imperative loop.

(define (reduce f i l)
(if (null? l)
i
(reduce f (f i (car l)) (cdr l))))
 
(reduce + 0 '(1 2 3 4 5)) ;; 0 is unit for +
(reduce * 1 '(1 2 3 4 5)) ;; 1 is unit for *

[edit] Seed7

const func integer: sumArray (in array integer: valueArray) is func
result
var integer: sum is 0;
local
var integer: value is 0;
begin
for value range valueArray do
sum +:= value;
end for;
end func;
 
const func integer: prodArray (in array integer: valueArray) is func
result
var integer: prod is 1;
local
var integer: value is 0;
begin
for value range valueArray do
prod *:= value;
end for;
end func;

Call these functions with:

writeln(sumArray([](1, 2, 3, 4, 5)));
writeln(prodArray([](1, 2, 3, 4, 5)));

[edit] SETL

numbers := [1 2 3 4 5 6 7 8 9];
print(+/ numbers, */ numbers);

=> 45 362880

[edit] Slate

#(1 2 3 4 5) reduce: [:sum :number | sum + number]
#(1 2 3 4 5) reduce: [:product :number | product * number]

Shorthand for the above with a macro:

#(1 2 3 4 5) reduce: #+ `er
#(1 2 3 4 5) reduce: #* `er

[edit] Smalltalk

#(1 2 3 4 5) inject: 0 into: [:sum :number | sum + number]
#(1 2 3 4 5) inject: 1 into: [:product :number | product * number]

Some implementation also provide a fold: message:

#(1 2 3 4 5) fold: [:sum :number | sum + number]
#(1 2 3 4 5) fold: [:product :number | product * number]

[edit] SNOBOL4

          t = table()
* read the integer from the std. input
init_tab t<x = x + 1> = trim(input)  :s(init_tab)
product = 1
sum = 0
 
* counting backwards to 1
loop i = t< x = ?gt(x,1) x - 1> :f(out)
sum = sum + i
product = product * i  :(loop)
out output = "Sum: " sum
output = "Prod: " product
end

Input

1
2
3
4
5

Output

Sum:  15
Prod: 120

[edit] Standard ML

[edit] Arrays

(* ints *)
val a = Array.fromList [1, 2, 3, 4, 5];
Array.foldl op+ 0 a;
Array.foldl op* 1 a;
(* reals *)
val a = Array.fromList [1.0, 2.0, 3.0, 4.0, 5.0];
Array.foldl op+ 0.0 a;
Array.foldl op* 1.0 a;

[edit] Lists

(* ints *)
val x = [1, 2, 3, 4, 5];
foldl op+ 0 x;
foldl op* 1 x;
(* reals *)
val x = [1.0, 2.0, 3.0, 4.0, 5.0];
foldl op+ 0.0 x;
foldl op* 1.0 x;

[edit] Tcl

set arr [list 3 6 8]
set sum [expr [join $arr +]]
set prod [expr [join $arr *]]

Works with: Tcl version 8.5

set arr [list 3 6 8]
set sum [tcl::mathop::+ {*}$arr]
set prod [tcl::mathop::* {*}$arr]

[edit] TI-83 BASIC

Use the built-in functions
sum()
and
prod()
.

[edit] Toka

4 cells is-array foo
 
212 1 foo array.put
51 2 foo array.put
12 3 foo array.put
91 4 foo array.put
 
[ ( array size -- sum )
>r 0 r> 0 [ over i swap array.get + ] countedLoop nip ] is sum-array
 
( product )
reset 1 4 0 [ i foo array.get * ] countedLoop .

[edit] Trith

[1 2 3 4 5] 0 [+] foldl
[1 2 3 4 5] 1 [*] foldl

[edit] UNIX Shell

Works with: NetBSD version 3.0 From an internal variable, $IFS delimited:

sum=0
prod=1
list="1 2 3"
for n in $list
do sum="$(($sum + $n))"; prod="$(($prod * $n))"
done
echo $sum $prod

From the argument list (ARGV):

sum=0
prod=1
for n
do sum="$(($sum + $n))"; prod="$(($prod * $n))"
done
echo $sum $prod

From STDIN, one integer per line:

sum=0
prod=1
while read n
do sum="$(($sum + $n))"; prod="$(($prod * $n))"
done
echo $sum $prod

Works with: GNU bash version 3.2.0(1)-release (i386-unknown-freebsd6.1) From variable:

LIST='20 20 2';
SUM=0; PROD=1;
for i in $LIST; do
SUM=$[$SUM + $i]; PROD=$[$PROD * $i];
done;
echo $SUM $PROD

[edit] UnixPipes

prod() {
(read B; res=$1; test -n "$B" && expr $res \* $B || echo $res)
}
 
sum() {
(read B; res=$1; test -n "$B" && expr $res + $B || echo $res)
}
 
fold() {
(func=$1; while read a ; do ; fold $func | $func $a done)
}
 
 
(echo 3; echo 1; echo 4;echo 1;echo 5;echo 9) | tee >(fold sum) >(fold prod) > /dev/null

[edit] Ursala

The reduction operator, :-, takes an associative binary function and a constant for the empty case. Natural numbers are unsigned and of unlimited size.

#import nat
#cast %nW
 
sp = ^(sum:-0,product:-1) <62,43,46,40,29,55,51,82,59,92,48,73,93,35,42,25>

output:

(875,2126997171723931187788800000)

[edit] V

[sp dup 0 [+] fold 'product=' put puts 1 [*] fold 'sum=' put puts].

Using it

[1 2 3 4 5] sp
=
product=15
sum=120

[edit] XSLT

XSLT (or XPath rather) has a few built-in functions for reducing from a collection, but product is not among them. Because of referential transparency, one must resort to recursive solutions for general iterative operations upon collections. The following code represents the array by numeric values in <price> elements in the source document.

<xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform">
<xsl:output method="text" />
 
<xsl:template name="sum-prod">
<xsl:param name="values" />
<xsl:param name="sum" select="0" />
<xsl:param name="prod" select="1" />
<xsl:choose>
<xsl:when test="not($values)">
<xsl:text>
Sum: </xsl:text>
<xsl:value-of select="$sum" />
<xsl:text>
Product: </xsl:text>
<xsl:value-of select="$prod" />
</xsl:when>
<xsl:otherwise>
<xsl:call-template name="sum-prod">
<xsl:with-param name="values" select="$values[position() > 1]" />
<xsl:with-param name="sum" select="$sum + $values[1]" />
<xsl:with-param name="prod" select="$prod * $values[1]" />
</xsl:call-template>
</xsl:otherwise>
</xsl:choose>
</xsl:template>
 
<xsl:template match="/">
<xsl:text>
Sum (built-in): </xsl:text>
<xsl:value-of select="sum(//price)" />
 
<xsl:call-template name="sum-prod">
<xsl:with-param name="values" select="//price" />
</xsl:call-template>
</xsl:template>
</xsl:stylesheet>
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