reduction

### C++ Reduction Usage and Examples Reduction operations are fundamental in parallel computing where multiple data elements need to be combined into a single result using associative operators like addition or multiplication. In the context of C++, especially with libraries supporting parallelism such as OpenMP or CUDA, reduction can significantly enhance performance by efficiently aggregating values across threads. In standard C++, before C++17, implementing reductions typically involved manual synchronization mechanisms which could lead to complex code prone to errors. However, starting from C++17, `std::reduce` was introduced under `<numeric>` header providing more straightforward ways to perform these operations[^1]. #### Example Using std::reduce For performing simple summation over a container: ```cpp #include <iostream> #include <vector> #include <numeric> // For std::reduce int main() { std::vector<int> numbers{1, 2, 3, 4, 5}; int sum = std::reduce(numbers.begin(), numbers.end()); std::cout << "Sum: " << sum << '\n'; } ``` This example demonstrates how easily one can compute the total sum of all integers within a vector without explicitly writing loops or handling thread management when working in multi-threaded environments supported by execution policies available since C++17. When dealing with custom types requiring specific accumulation logic beyond basic arithmetic operations, users may define their own binary function objects passed alongside iterators to customize behavior during aggregation process accordingly. #### Custom Binary Function Object for String Concatenation ```cpp #include <string> #include <vector> #include <functional> #include <algorithm> struct string_cat { std::string operator()(const std::string& lhs, const std::string& rhs)const{ return lhs.empty()?rhs:(lhs+", "+rhs); } }; //... std::vector<std::string> words{"hello", "world"}; auto concatenated_strings = std::accumulate(words.begin()+1, words.end(), words.front(), string_cat()); std::cout << "Concatenated Strings: " << concatenated_strings << "\n"; ``` Here, instead of adding numeric values together, strings get concatenated while preserving readability through comma separation between individual items inside resulting output sequence.
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