向量列表vl的最大长度为100000000。101个不同的整数值。最好和最快的排序算法是什么?
我尝试过计数排序,(存储桶排序),...,但它们不够快。每个整数(+ -)都是有效的。100000000,101个不同的整数是随机生成的。感谢您的回复!我最好的算法大约是0.620s。
发布于 2015-11-15 22:28:12
使用unorder_set查找唯一值,然后将这些唯一值放入vector并对其进行排序;然后将原始值放入unorder_multiset以计算值,如下所示:
vector<int> v;
// fill v with values
unordered_set<int> s(begin(v), end(v));
vector<int> sorted_v(begin(s), end(s));
sort(begin(sorted_v), end(sorted_v));
unordered_multiset<int> v_count(begin(v), end(v));
for (size_t i = 0; i < sorted_v.size(); ++i)
cout << "For the " << i << "th value == " << sorted_v[i] << " there are " << v_count.count(v[i]) << " of them." << endl;发布于 2015-11-15 22:50:21
根据wiki (参见算法对照表),我们应该使用计数排序,因为我们没有太多不同的值。
首先,我假设我们的值是int 0-100,并使用以下代码:
void sort(std::vector<int>& v)
{
double start = std::clock();
int* table = new int[MAX];
for (int i = 0; i < MAX; ++i)
{
table[i] = 0;
}
for (int i = 0; i < size; ++i)
{
++table[v[i]];
}
int cur = 0;
for (int i = 0; i < MAX; ++i)
{
for (int j = 0; j < table[i]; ++j)
{
v[cur++] = i;
}
}
delete[] table;
std::cout << "count sort over char array took " << (std::clock() - start) / CLOCKS_PER_SEC << " s" << std::endl;
}这段代码在我的计算机上使用0.149s,而不是std::sort使用的3.002s。
这是counting sort的经典实现,但现在尝试加快速度,删除一些多余的计算:
void sort6(int* v, int size)
{
double start = std::clock();
int* table = new int[MAX];
for (int i = 0; i < MAX; ++i)
{
table[i] = 0;
}
int* end = v + size;
for (int* vi = v; vi < end; ++vi)
{
++table[*vi];
}
int* cur = v;
for (int i = 0; i < MAX; ++i)
{
int count = table[i];
for (int j = 0; j < count; ++j)
{
*(cur++) = i;
}
}
std::cout << "count sort with pointers over char array took " << (std::clock() - start) / CLOCKS_PER_SEC << " s" << std::endl;
delete[] v;
delete[] table;
}这给出了大约0.076s。
其次,假设我们的值不是整数0-100,我使用以下算法:
对所有100000000个不同的数字进行计数排序(在执行计数排序时,请考虑distribution).
不幸的是,目前我没有时间来实现和检查,但我相信答案就在那里。
发布于 2016-01-03 17:19:02
下面是上面一些其他用户描述的算法的完整实现。算法的总复杂度为O(n)。
#include <vector>
#include <unordered_map>
#include <algorithm>
#include <cstdint>
void special_sort(std::vector<int>& v, const size_t nExpectedMaxDifferentValues)
{
typedef int_fast32_t Value;
typedef size_t Count;
static_assert(sizeof(Value) >= sizeof(int), "please define Value to int on this platform");
struct ValHash
{
inline std::size_t operator()(const Value k) const
{
return k;
}
};
std::unordered_map<Value, Count, ValHash> counts;
counts.reserve(nExpectedMaxDifferentValues * 100);
for (const auto x : v)
++counts[x];
std::vector<Value> sorted_numbers;
sorted_numbers.reserve(counts.size());
for (const auto& p : counts)
sorted_numbers.push_back(p.first);
std::sort(std::begin(sorted_numbers), std::end(sorted_numbers));
// fill vector with sorted data:
int* p = v.data();
for (const auto x : sorted_numbers)
{
for (Count i = counts[x]; i > 0; --i)
{
*p++ = x;
}
}
}测试速度的主要功能:
#include <random>
#include <limits>
#include <time.h>
#include <iostream>
int main()
{
std::cout << "Initialize..." << std::endl;
const size_t N = 100000000;
const size_t M = 101;
std::mt19937 gen(5); // use constant to easily reproduce the test
std::uniform_int_distribution<int> disInt(std::numeric_limits<int>::min(), std::numeric_limits<int>::max());
std::vector<int> v1;
v1.reserve(M);
for (size_t i = 0; i < M; ++i)
v1.push_back(disInt(gen));
std::uniform_int_distribution<size_t> disIndex(0, M-1);
std::vector<int> v2;
v2.reserve(N);
for (size_t i = 0; i < N; ++i)
v2.push_back(v1[disIndex(gen)]);
std::cout << "Sort..." << std::endl;
const clock_t begin_time = clock();
special_sort(v2, M);
const double seconds = double(clock() - begin_time) / CLOCKS_PER_SEC;
std::cout << "Sorting took " << int(seconds * 1000) << " ms" << std::endl;
return 0;
}我的笔记本电脑的程序输出(由x86_64的MSVC 2013更新5编译,在2.40 CPU的酷睿i7-4700MQ处理器上运行):
Initialize...
Sort...
Sorting took 374 ms有许多魔术和半魔术优化可以得到这个结果:
<代码>F214
https://stackoverflow.com/questions/33720312
复制相似问题