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Difference between revisions of "cpp/algorithm/reduce"

From cppreference.com
< cpp‎ | algorithm
(+)
 
(mention the overload set constraint)
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@3@ same as {{c|reduce(first, last, init, std::plus<>())}}
 
@3@ same as {{c|reduce(first, last, init, std::plus<>())}}
 
@5@ Reduces the range {{math|[first; last)}}, possibly permuted and aggregated in unspecified manner, along with the initial value {{tt|init}} over {{tt|binary_op}}.  
 
@5@ Reduces the range {{math|[first; last)}}, possibly permuted and aggregated in unspecified manner, along with the initial value {{tt|init}} over {{tt|binary_op}}.  
@2,4,6@ Same as {{v|1,3,5}}, but executed according to {{tt|exec}}
+
@2,4,6@ Same as {{v|1,3,5}}, but executed according to {{tt|exec}}. These overloads do not participate in overload resolution unless {{c|std::is_execution_policy_v<std::decay_t<ExecutionPolicy>>}} is true
  
 
The behavior is non-deterministic if {{tt|binary_op}} is not associative or not commutative.
 
The behavior is non-deterministic if {{tt|binary_op}} is not associative or not commutative.

Revision as of 12:00, 18 March 2016

 
 
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
Operations on uninitialized memory
 
Defined in header <numeric>
template<class InputIt>

typename std::iterator_traits<InputIt>::value_type reduce(

    InputIt first, InputIt last);
(1) (since C++17)
template<class ExecutionPolicy, class InputIterator>

typename std::iterator_traits<InputIt>::value_type reduce(
    ExecutionPolicy&& exec,

    InputIt first, InputIt last);
(2) (since C++17)
template<class InputIt, class T>
T reduce(InputIt first, InputIt last, T init);
(3) (since C++17)
template<class ExecutionPolicy, class InputIt, class T>

T reduce(ExecutionPolicy&& exec,

         InputIt first, InputIt last, T init);
(4) (since C++17)
template<class InputIt, class T, class BinaryOp>
T reduce(InputIt first, InputIt last, T init, BinaryOp binary_op);
(5) (since C++17)
template<class ExecutionPolicy, class InputIt, class T, class BinaryOp>

T reduce(ExecutionPolicy&& exec,

         InputIt first, InputIt last, T init, BinaryOp binary_op);
(6) (since C++17)
1) same as reduce(first, last, typename std::iterator_traits<InputIt>::value_type{})
3) same as reduce(first, last, init, std::plus<>())
5) Reduces the range [first; last), possibly permuted and aggregated in unspecified manner, along with the initial value init over binary_op.
2,4,6) Same as (1,3,5), but executed according to exec. These overloads do not participate in overload resolution unless std::is_execution_policy_v<std::decay_t<ExecutionPolicy>> is true

The behavior is non-deterministic if binary_op is not associative or not commutative.

The behavior is undefined if binary_op modifies any element or invalidates any iterator in [first; last).

Contents

Parameters

first, last - the range of elements to apply the algorithm to
init - the initial value of the generalized sum
policy - the execution policy to use. See execution policy for details.
binary_op - binary Template:concept that will be applied in unspecified order to the result of dereferencing the input iterators, the results of other binary_op and init.
Type requirements

Template:par req concept

Return value

Generalized sum of init and *first, *(first+1), ... *(last-1) over binary_op,

where generalized sum GSUM(op, a1, ..., aN) is defined as follows:

  • if N=1, a1
  • if N > 1, op(GSUM(op, b1, ..., bK), GSUM(op, bM, ..., bN)) where
  • b1, ..., bN may be any permutation of a1, ..., aN and
  • 1 < K+1 = M ≤ N

in other words, the elements of the range may be grouped and rearranged in arbitrary order

Complexity

O(last - first) applications of binary_op.

Exceptions

The overloads with a template parameter named ExecutionPolicy report errors as follows:

  • If execution of a function invoked as part of the algorithm throws an exception and ExecutionPolicy is one of the standard policies, std::terminate is called. For any other ExecutionPolicy, the behavior is implementation-defined.
  • If the algorithm fails to allocate memory, std::bad_alloc is thrown.

Notes

If the range is empty, init is returned, unmodified

Example

reduce is the out-of-order version of std::accumulate:

#include <iostream>
#include <chrono>
#include <vector>
#include <numeric>
#include <execution_policy>
 
int main()
{
    std::vector<double> v(10'000'007, 0.5);
 
    {
        auto t1 = std::chrono::high_resolution_clock::now();
        double result = std::accumulate(v.begin(), v.end(), 0.0);
        auto t2 = std::chrono::high_resolution_clock::now();
        std::chrono::duration<double, std::milli> ms = t2 - t1;
        std::cout << std::fixed << "std::accumulate result " << result
                  << " took " << ms.count() << " ms\n";
    }
 
    {
        auto t1 = std::chrono::high_resolution_clock::now();
        double result = std::reduce(std::par, v.begin(), v.end());
        auto t2 = std::chrono::high_resolution_clock::now();
        std::chrono::duration<double, std::milli> ms = t2 - t1;
        std::cout << "std::reduce result "
                  << result << " took " << ms.count() << " ms\n";
    }
}

Possible output:

std::accumulate result 5000003.50000 took 12.7365 ms
std::reduce result 5000003.50000 took 5.06423 ms

See also

sums up or folds a range of elements
(function template) [edit]
applies a function to a range of elements, storing results in a destination range
(function template) [edit]
applies an invocable, then reduces out of order
(function template) [edit]