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Difference between revisions of "cpp/algorithm/accumulate"

From cppreference.com
< cpp‎ | algorithm
(Added LWG issue #2055 DR (part 3/4).)
m (Synopsis: fmt.)
 
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{{cpp/title|accumulate}}
 
{{cpp/title|accumulate}}
{{cpp/algorithm/navbar}}
+
{{cpp/algorithm/numeric/navbar}}
 
{{dcl begin}}
 
{{dcl begin}}
 
{{dcl header|numeric}}
 
{{dcl header|numeric}}
{{dcl rev multi|num=1|anchor=1
+
{{dcla|num=1|constexpr=c++20|
|until1=c++20|dcl1=
+
 
template< class InputIt, class T >
 
template< class InputIt, class T >
 
T accumulate( InputIt first, InputIt last, T init );
 
T accumulate( InputIt first, InputIt last, T init );
|dcl2=
 
template< class InputIt, class T >
 
constexpr T accumulate( InputIt first, InputIt last, T init );
 
 
}}
 
}}
{{dcl rev multi|num=2|anchor=2
+
{{dcla|num=2|constexpr=c++20|
|until1=c++20|dcl1=
+
template< class InputIt, class T, class BinaryOp >
template< class InputIt, class T, class BinaryOperation >
+
T accumulate( InputIt first, InputIt last, T init, BinaryOp op );
T accumulate( InputIt first, InputIt last, T init,
+
              BinaryOperation op );
+
|dcl2=
+
template< class InputIt, class T, class BinaryOperation >
+
constexpr T accumulate( InputIt first, InputIt last, T init,
+
                        BinaryOperation op );
+
 
}}
 
}}
 
{{dcl end}}
 
{{dcl end}}
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Computes the sum of the given value {{c|init}} and the elements in the range {{range|first|last}}.
 
Computes the sum of the given value {{c|init}} and the elements in the range {{range|first|last}}.
  
@1@ Initializes the accumulator {{c|acc}} (of type {{tt|T}}) with the initial value {{c|init}} and then modifies it with {{rev inl|until=c++11|{{c|1=acc = acc + *i}}}}{{rev inl|since=c++11|{{c|1=acc = std::move(acc) + *i}}}} for every iterator {{c|i}} in the range {{range|first|last}} in order.
+
@1@ Initializes the accumulator {{c|acc}} (of type {{tt|T}}) with the initial value {{c|init}} and then modifies it with {{rev inl|until=c++20|{{c|1=acc = acc + *i}}}}{{rev inl|since=c++20|{{c|1=acc = std::move(acc) + *i}}}} for every iterator {{c|i}} in the range {{range|first|last}} in order.
  
@2@ Initializes the accumulator {{c|acc}} (of type {{tt|T}}) with the initial value {{c|init}} and then modifies it with {{rev inl|until=c++11|{{c|1=acc = op(acc, *i)}}}}{{rev inl|since=c++11|{{c|1=acc = op(std::move(acc), *i)}}}} for every iterator {{c|i}} in the range {{range|first|last}} in order.
+
@2@ Initializes the accumulator {{c|acc}} (of type {{tt|T}}) with the initial value {{c|init}} and then modifies it with {{rev inl|until=c++20|{{c|1=acc = op(acc, *i)}}}}{{rev inl|since=c++20|{{c|1=acc = op(std::move(acc), *i)}}}} for every iterator {{c|i}} in the range {{range|first|last}} in order.
  
@@ If {{c|op}} invalidates any iterators (including the end iterators) or modifies any elements of the range involved, the behavior is undefined.
+
If any of the following conditions is satisfied, the behavior is undefined:
 +
* {{tt|T}} is not {{named req|CopyConstructible}}.
 +
* {{tt|T}} is not {{named req|CopyAssignable}}.
 +
* {{c|op}} modifies any element of {{range|first|last}}.
 +
* {{c|op}} invalidates any iterator or subrange in {{closed range|first|last}}.
  
 
===Parameters===
 
===Parameters===
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{{par hreq}}
 
{{par hreq}}
 
{{par req named|InputIt|InputIterator}}
 
{{par req named|InputIt|InputIterator}}
{{par req named|T|CopyConstructible|CopyAssignable}}
 
 
{{par end}}
 
{{par end}}
  
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{
 
{
 
     for (; first != last; ++first)
 
     for (; first != last; ++first)
         init = std::move(init) + *first; // std::move since C++11
+
         init = std::move(init) + *first; // std::move since C++20
 
      
 
      
 
     return init;
 
     return init;
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{
 
{
 
     for (; first != last; ++first)
 
     for (; first != last; ++first)
         init = op(std::move(init), *first); // std::move since C++11
+
         init = op(std::move(init), *first); // std::move since C++20
 
      
 
      
 
     return init;
 
     return init;
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{{tt|std::accumulate}} performs a left [[enwiki:Fold (higher-order function)|fold]]. In order to perform a right fold, one must reverse the order of the arguments to the binary operator, and use reverse iterators.
 
{{tt|std::accumulate}} performs a left [[enwiki:Fold (higher-order function)|fold]]. In order to perform a right fold, one must reverse the order of the arguments to the binary operator, and use reverse iterators.
  
====Common mistakes====
+
If left to type inference, {{c|op}} operates on values of the same type as {{c|init}} which can result in unwanted casting of the iterator elements. For example, {{c|std::accumulate(v.begin(), v.end(), 0)}} likely does not give the result one wishes for when {{c|v}} is of type {{c/core|std::vector<double>}}.
If left to type inference, {{c|op}} operates on values of the same type as {{c|init}} which can result in unwanted casting of the iterator elements. For example, {{c|std::accumulate(v.begin(), v.end(), 0)}} likely does not give the result one wishes for when {{c|v}} is {{c/core|std::vector<double>}}.
+
  
 
===Example===
 
===Example===
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|
 
|
 
|code=
 
|code=
 +
#include <functional>
 
#include <iostream>
 
#include <iostream>
#include <vector>
 
 
#include <numeric>
 
#include <numeric>
 
#include <string>
 
#include <string>
#include <functional>
+
#include <vector>
 
   
 
   
 
int main()
 
int main()
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{{dr list begin}}
 
{{dr list begin}}
 
{{dr list item|wg=lwg|dr=242|std=C++98|before={{c|op}} could not have side effects|after=it cannot modify the ranges involved}}
 
{{dr list item|wg=lwg|dr=242|std=C++98|before={{c|op}} could not have side effects|after=it cannot modify the ranges involved}}
{{dr list item|wg=lwg|dr=2055|paper=P0616R0|std=C++11|before={{c|acc}} was not moved while being accumulated|after=it is moved}}
 
 
{{dr list end}}
 
{{dr list end}}
  

Latest revision as of 14:33, 15 September 2024

 
 
Algorithm library
Constrained algorithms and algorithms on ranges (C++20)
Constrained algorithms, e.g. ranges::copy, ranges::sort, ...
Execution policies (C++17)
Non-modifying sequence operations
Batch operations
(C++17)
Search operations
(C++11)                (C++11)(C++11)

Modifying sequence operations
Copy operations
(C++11)
(C++11)
Swap operations
Transformation operations
Generation operations
Removing operations
Order-changing operations
(until C++17)(C++11)
(C++20)(C++20)
Sampling operations
(C++17)

Sorting and related operations
Partitioning operations
Sorting operations
Binary search operations
(on partitioned ranges)
Set operations (on sorted ranges)
Merge operations (on sorted ranges)
Heap operations
Minimum/maximum operations
(C++11)
(C++17)
Lexicographical comparison operations
Permutation operations
C library
Numeric operations
accumulate
(C++17)
Operations on uninitialized memory
 
 
Defined in header <numeric>
template< class InputIt, class T >
T accumulate( InputIt first, InputIt last, T init );
(1) (constexpr since C++20)
template< class InputIt, class T, class BinaryOp >
T accumulate( InputIt first, InputIt last, T init, BinaryOp op );
(2) (constexpr since C++20)

Computes the sum of the given value init and the elements in the range [firstlast).

1) Initializes the accumulator acc (of type T) with the initial value init and then modifies it with acc = acc + *i(until C++20)acc = std::move(acc) + *i(since C++20) for every iterator i in the range [firstlast) in order.
2) Initializes the accumulator acc (of type T) with the initial value init and then modifies it with acc = op(acc, *i)(until C++20)acc = op(std::move(acc), *i)(since C++20) for every iterator i in the range [firstlast) in order.

If any of the following conditions is satisfied, the behavior is undefined:

  • T is not CopyConstructible.
  • T is not CopyAssignable.
  • op modifies any element of [firstlast).
  • op invalidates any iterator or subrange in [firstlast].

Contents

[edit] Parameters

first, last - the range of elements to sum
init - initial value of the sum
op - binary operation function object that will be applied.

The signature of the function should be equivalent to the following:

 Ret fun(const Type1 &a, const Type2 &b);

The signature does not need to have const &.
The type  Type1 must be such that an object of type T can be implicitly converted to  Type1. The type  Type2 must be such that an object of type InputIt can be dereferenced and then implicitly converted to  Type2. The type Ret must be such that an object of type T can be assigned a value of type Ret. ​

Type requirements
-
InputIt must meet the requirements of LegacyInputIterator.

[edit] Return value

acc after all modifications.

[edit] Possible implementation

accumulate (1)
template<class InputIt, class T>
constexpr // since C++20
T accumulate(InputIt first, InputIt last, T init)
{
    for (; first != last; ++first)
        init = std::move(init) + *first; // std::move since C++20
 
    return init;
}
accumulate (2)
template<class InputIt, class T, class BinaryOperation>
constexpr // since C++20
T accumulate(InputIt first, InputIt last, T init, BinaryOperation op)
{
    for (; first != last; ++first)
        init = op(std::move(init), *first); // std::move since C++20
 
    return init;
}

[edit] Notes

std::accumulate performs a left fold. In order to perform a right fold, one must reverse the order of the arguments to the binary operator, and use reverse iterators.

If left to type inference, op operates on values of the same type as init which can result in unwanted casting of the iterator elements. For example, std::accumulate(v.begin(), v.end(), 0) likely does not give the result one wishes for when v is of type std::vector<double>.

[edit] Example

#include <functional>
#include <iostream>
#include <numeric>
#include <string>
#include <vector>
 
int main()
{
    std::vector<int> v{1, 2, 3, 4, 5, 6, 7, 8, 9, 10};
 
    int sum = std::accumulate(v.begin(), v.end(), 0);
    int product = std::accumulate(v.begin(), v.end(), 1, std::multiplies<int>());
 
    auto dash_fold = [](std::string a, int b)
    {
        return std::move(a) + '-' + std::to_string(b);
    };
 
    std::string s = std::accumulate(std::next(v.begin()), v.end(),
                                    std::to_string(v[0]), // start with first element
                                    dash_fold);
 
    // Right fold using reverse iterators
    std::string rs = std::accumulate(std::next(v.rbegin()), v.rend(),
                                     std::to_string(v.back()), // start with last element
                                     dash_fold);
 
    std::cout << "sum: " << sum << '\n'
              << "product: " << product << '\n'
              << "dash-separated string: " << s << '\n'
              << "dash-separated string (right-folded): " << rs << '\n';
}

Output:

sum: 55
product: 3628800
dash-separated string: 1-2-3-4-5-6-7-8-9-10
dash-separated string (right-folded): 10-9-8-7-6-5-4-3-2-1

[edit] Defect reports

The following behavior-changing defect reports were applied retroactively to previously published C++ standards.

DR Applied to Behavior as published Correct behavior
LWG 242 C++98 op could not have side effects it cannot modify the ranges involved

[edit] See also

computes the differences between adjacent elements in a range
(function template) [edit]
computes the inner product of two ranges of elements
(function template) [edit]
computes the partial sum of a range of elements
(function template) [edit]
(C++17)
similar to std::accumulate, except out of order
(function template) [edit]
left-folds a range of elements
(niebloid)[edit]