...one of the most highly
regarded and expertly designed C++ library projects in the
world.

— Herb Sutter and Andrei
Alexandrescu, C++
Coding Standards

Copyright © 2014-2017 Steven Ross, Francisco Tapia, Orson Peters

Distributed under the Boost Software License, Version 1.0.

**Table of Contents**

- 1.- Introduction
- 2.- Single Thread Algorithms
- 3.- Parallel Algorithms
- 4.- Bibliography
- 5.- Gratitude

The goal of the Boost Sort Library is provide to the users, the most modern, fast, and memory-efficient sorting algorithms.

This library provides stable and unstable sorting algorithms, in single threaded and parallel versions.

These algorithms do not use any other library or utility, you only need to include boost/sort/sort.hpp or one of the more specific headers. The parallel algorithms need a C++11 compliant compiler.

## Single Thread Algorithms

| | | | Comparison | Algorithm |Stable | Additional memory |Best, average, and worst case | method | ------------------+-------+----------------------------+--------------------------------------------+---------------------+ spreadsort | no | key_length | N, N sqrt(LogN), min(N logN, N key_length) | Hybrid radix sort | pdqsort | no | Log N | N, N LogN, N LogN | Comparison operator | spinsort | yes | N / 2 | N, N LogN, N LogN | Comparison operator | flat_stable_sort | yes |size of the data / 256 + 8K | N, N LogN, N LogN | Comparison operator | | | | | |

spreadsortis an extremely fast hybrid radix sort algorithm, designed and developed by Steven Ross.pdqsortis a improvement of the quick sort algorithm, designed and developed by Orson Peters.spinsortis a stable sort that is fast with random or nearly sorted data, designed and developed by Francisco Tapia.flat_stable_sortis a stable sort that uses very little additional memory (around 1% of the size of the data), providing 80% - 90% of the speed of spinsort, designed and developed by Francisco Tapia.## Parallel Algorithms

| | | | Algorithm |Stable | Additional memory |Best, average, and worst case | ----------------------+-------+------------------------+------------------------------+ block_indirect_sort | no |block_size * num_threads| N, N LogN , N LogN | sample_sort | yes | N | N, N LogN , N LogN | parallel_stable_sort | yes | N / 2 | N, N LogN , N LogN | | | | |

Sample_sortis a implementation of theSamplesort algorithmdone by Francisco Tapia.Parallel_stable_sortis based on the samplesort algorithm, but using a half of the memory used by sample_sort, conceived and implemented by Francisco Tapia.Block_indirect_sortis a novel high-speed parallel sort algorithm with low additional memory consumption, conceived and implemented by Francisco Tapia.The

block_sizeis an internal parameter of the algorithm, which in order to achieve the highest speed, changes according to the size of the objects to sort according to the next table. The strings use a block_size of 128.

| | | | | | | | object size (bytes) | 1 - 15 | 16 - 31 | 32 - 63 | 64 - 127|128 - 255|256 - 511| 512 - | --------------------------------+--------+---------+---------+---------+---------+---------+----------+ block_size (number of elements) | 4096 | 2048 | 1024 | 768 | 512 | 256 | 128 | | | | | | | | |