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main.cpp
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main.cpp
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#include <cmath>
#include <iostream>
#include <fstream>
#include <chrono>
#include <utility>
#include <vector>
#include <algorithm>
#include <zconf.h>
#include <fcntl.h>
#include <functional>
#include <iomanip>
namespace misc {
std::vector<unsigned long long> read_data(size_t size) {
std::vector<unsigned long long> v(size);
for (size_t i = 0; i < size; ++i) {
std::cin >> v[i];
}
return v;
}
void drop_caches() {
int cache_fd = open("/proc/sys/vm/drop_caches", O_WRONLY);
const auto *d3 = reinterpret_cast<const char *>("3");
write(cache_fd, d3, sizeof(char));
fsync(cache_fd);
close(cache_fd);
}
template<class T>
void vprint(std::vector<T> &d) {
for (auto &e: d) {
std::cout << e << " ";
}
std::cout << std::endl;
}
}
namespace binsearch {
bool binary_search(std::vector<unsigned long long int>::const_iterator begin, std::vector<unsigned long long int>::const_iterator end, unsigned long key)
{
while(begin < end)
{
auto mid = begin + (std::distance(begin, end) >> 1);
if(*mid == key)
{
return true;
}
else if(*mid > key)
{
end = mid;
}
else
{
begin = mid + 1;
}
}
return false;
}
bool bf_binary_search(std::vector<unsigned long long int>::const_iterator begin, std::vector<unsigned long long int>::const_iterator end, unsigned long key)
{
size_t half, dist = static_cast<size_t>(std::abs(std::distance(begin, end)));
std::vector<unsigned long long int>::const_iterator mid;
while((half = (dist >> 1))) {
mid = begin + half;
begin = (*mid < key) ? mid : begin;
dist -= half;
}
return ((*(begin+dist)) == key);
}
bool prefetch_binary_search(std::vector<unsigned long long int>::const_iterator begin, std::vector<unsigned long long int>::const_iterator end, unsigned long key)
{
long dist = 0;
std::vector<unsigned long long int>::const_iterator mid;
while(begin < end)
{
dist = std::distance(begin, end) >> 1;
mid = begin + dist;
__builtin_prefetch(&(*(begin + (dist >> 1))), 0, 3);
__builtin_prefetch(&(*(mid + 1 + (dist >> 1))), 0, 3);
if(*mid == key)
{
return true;
}
else if(*mid > key)
{
end = mid;
}
else
{
begin = mid + 1;
}
}
return false;
}
bool bf_prefetch_binary_search(std::vector<unsigned long long int>::const_iterator begin, std::vector<unsigned long long int>::const_iterator end, unsigned long key)
{
long half, dist = std::distance(begin, end);
std::vector<unsigned long long int>::const_iterator mid;
while(dist > 1) {
half = dist >> 1;
__builtin_prefetch(&(*(begin + (half >> 1))), 0, 3);
__builtin_prefetch(&(*(begin + half + (half >> 1))), 0, 3);
mid = begin + half;
begin = (*mid < key) ? mid : begin;
dist -= half;
}
return ((*mid) == key) | ((*(mid + 1)) == key);
}
namespace veb {
const size_t NULLNODEPTR = UINTMAX_MAX;
class Node {
public:
explicit Node(unsigned long long val = 0,
size_t left = NULLNODEPTR,
size_t right = NULLNODEPTR)
: val(val), left(left), right(right) {}
unsigned long long val = 0;
size_t left = NULLNODEPTR;
size_t right = NULLNODEPTR;
};
typedef std::vector<Node> Tree;
namespace implicit_veb {
class Helpers {
public:
Helpers()
: T(0)
, B(0)
, D(0)
{}
explicit Helpers(size_t size)
: T(size)
, B(size)
, D(size)
{}
std::vector<size_t> T, B, D;
};
class VebLayout {
private:
Tree tree;
Helpers helps;
std::vector<unsigned long long> layout;
std::vector<size_t> p;
void setTree(size_t size) {
tree = Tree(size);
for (size_t i = 0; i < size; ++i) {
size_t iLeft = 2 * i + 1, iRight = 2 * i + 2;
tree[i].left = iLeft < size ? iLeft : NULLNODEPTR;
tree[i].right = iRight < size ? iRight : NULLNODEPTR;
}
}
void putDataTree(const std::vector<unsigned long long>& data) {
setTree(data.size());
putData(0, data.begin());
}
std::vector<unsigned long long> splitTree(unsigned long long root, size_t height) {
if (root == NULLNODEPTR) return std::vector<unsigned long long>(0);
if (!height) {
std::vector<unsigned long long> subs(0);
if (tree[root].left != NULLNODEPTR) {
subs.push_back(reinterpret_cast<unsigned long long int &&>(tree[root].left));
}
tree[root].left = NULLNODEPTR;
if (tree[root].right != NULLNODEPTR) {
subs.push_back(reinterpret_cast<unsigned long long int &&>(tree[root].right));
}
tree[root].right = NULLNODEPTR;
return subs;
}
auto left_subtree = splitTree(tree[root].left, height - 1);
auto right_subtree = splitTree(tree[root].right, height - 1);
left_subtree.insert(left_subtree.end(), right_subtree.begin(), right_subtree.end());
return left_subtree;
}
size_t recursiveVebLayout(unsigned long long root, size_t rDepth,
bool norm=false) {
auto h = getHeight(root);
if (!h) {
layout.push_back(reinterpret_cast<unsigned long long int &&>(tree[root].val));
return 1;
}
size_t subtree_s = norm ? h - 1 : h >> 1;
size_t depth = rDepth + subtree_s;
auto subtrees = splitTree(root, subtree_s);
auto nodes_added = recursiveVebLayout(root, rDepth);
size_t left_subtree_size = !subtrees.empty()
? recursiveVebLayout(subtrees[0], depth + 1)
: 0;
helps.T[depth] = nodes_added;
helps.D[depth] = rDepth;
helps.B[depth] = left_subtree_size;
nodes_added += left_subtree_size;
// layout subtrees
for (size_t i = 1; i < subtrees.size(); ++i)
nodes_added += recursiveVebLayout(subtrees[i], depth + 1);
return nodes_added;
}
public:
explicit VebLayout(const std::vector<unsigned long long>& data)
: tree(data.size())
{
makeVebLayout(data);
}
inline size_t getPos(size_t bfs, size_t d) {
return p[helps.D[d] - 1] + helps.T[d] + (bfs & helps.T[d]) * helps.B[d];
}
// implicit search
bool search(const unsigned long long & el) {
size_t i = 1, pos = 0;
for (size_t st = 1; i <= layout.size(); st++) {
auto e = layout[pos];
if (e == el) return true;
i = e < el ? 2 * i + 1 : 2 * i;
pos = getPos(i, st) - 1;
p[st] = pos + 1;
}
return false;
}
void makeVebLayout(const std::vector<unsigned long long>& data) {
putDataTree(data);
size_t h = getHeight(0);
helps = Helpers(h + 2);
p = std::vector<size_t>(h + 2);
p[0] = 1;
recursiveVebLayout(0, 1, true);
}
std::vector<unsigned long long int>::const_iterator putData(
unsigned long long int node,
std::vector<unsigned long long int>::const_iterator data) {
if (node == NULLNODEPTR) return data; // end of recursion
data = putData(tree[node].left, data);
tree[node].val = (unsigned long long) *(data++);
return putData(tree[node].right, data);
}
size_t getHeight(unsigned long long root) {
size_t h = 0;
while (tree[root].left != NULLNODEPTR) {
h++;
root = tree[root].left;
}
return h;
}
};
}
namespace explicit_veb {
class VebLayout {
private:
Tree tree;
public:
explicit VebLayout(const std::vector<unsigned long long> &data)
: tree(data.size())
{
makeVebLayout(data);
}
void makeVebLayout(const std::vector<unsigned long long>& data) {
std::vector<Node> tmp(data.size());
for (size_t i = 0; i < data.size(); ++i) {
tmp[i].val = data[i];
}
putData(tmp.begin(), tmp.end(), 0);
}
void putData(std::vector<Node>::const_iterator begin, std::vector<Node>::const_iterator end,
unsigned long long start_pos) {
auto size = std::distance(begin, end);
if (size == 0) {
return;
}
if (size == 1) {
tree[start_pos] = *begin;
return;
}
auto height = static_cast<size_t>(floor(log2(size)) + 1);
size_t depth = height >> 1;
size_t top_height = height - depth;
auto top_size = static_cast<size_t>((1 << top_height) - 1);
auto bottom_size = static_cast<size_t>((1 << depth) - 1);
size_t bottom = start_pos + top_size;
size_t bottom_end = start_pos + size;
std::vector<Node> top_tree;
bool left = true;
// create subtrees
while (bottom != bottom_end) {
size_t curr_bottom_size = std::min(bottom_size, bottom_end - bottom);
putData(begin, begin + curr_bottom_size, bottom);
begin += curr_bottom_size;
if (left) {
top_tree.push_back(*begin);
top_tree.back().left = bottom;
begin++;
} else {
top_tree.back().right = bottom;
if (begin != end) {
top_tree.push_back(*begin);
}
begin++;
}
left = !left;
bottom += curr_bottom_size;
}
if (std::distance(begin, end) > 0) top_tree.insert(top_tree.end(), begin, end);
putData(top_tree.begin(), top_tree.end(), start_pos);
}
bool search(unsigned long long key) {
size_t i = 0;
while (i != NULLNODEPTR) {
if (tree[i].val == key) {
return true;
} else if (tree[i].val < key) {
i = tree[i].right;
} else {
i = tree[i].left;
}
}
return false;
}
};
}
}
namespace LUT {
std::vector<std::pair<size_t, size_t>> Lut;
void InitLut(const std::vector<unsigned long long> &vals, size_t lutBits)
{
const size_t lutSize = 1u << lutBits;
const size_t shiftBits = 64 - lutBits;
Lut.resize(lutSize);
size_t thresh = 0, last = 0;
for (size_t i = 0; i < vals.size() - 1; i++) {
const size_t nextThresh = vals[i + 1] >> shiftBits;
Lut[thresh] = {last, i};
if (nextThresh > thresh) {
last = i + 1;
for (size_t j = thresh + 1; j <= nextThresh; j++)
Lut[j] = {last, i + 1};
}
thresh = nextThresh;
}
for (size_t i = thresh; i < Lut.size(); i++) Lut[i] = {last, vals.size() - 1};
}
bool LutBinarySearch(const std::vector<unsigned long long>& data,
const unsigned long long& key,
const size_t& lutBits) {
auto start = Lut[key >> (64 - lutBits)];
return std::binary_search(data.begin() + start.first, data.begin() + start.second, key);
}
}
}
namespace rands {
std::mt19937 get_generator() {
std::random_device rd;
std::mt19937 gen(rd());
return gen;
}
std::vector<unsigned long long> generate_data(size_t size) {
auto generator = get_generator();
std::vector<unsigned long long> v(size);
std::uniform_int_distribution<unsigned long long> nums(0, static_cast<unsigned long long>(1E12));
std::function<unsigned long long()> number_generator = std::bind(nums, generator);
std::generate(v.begin(), v.end(), number_generator);
std::sort(v.begin(), v.end());
return v;
}
std::vector<unsigned long long> generate_requests(size_t req_count) {
auto generator = get_generator();
std::vector<unsigned long long> v(req_count);
std::uniform_int_distribution<unsigned long long> nums(0, static_cast<unsigned long long int>(1E12));
std::function<unsigned long long()> number_generator = std::bind(nums, generator);
std::generate(v.begin(), v.end(), number_generator);
return v;
}
}
namespace tests {
typedef unsigned long long ull;
typedef std::vector<ull> vull;
typedef std::vector<bool> vb;
typedef std::pair<std::pair<ull, double>, vb> timeres;
timeres test_basic_self(const vull &data, const vull &requests) {
std::chrono::time_point<std::chrono::system_clock> start, end;
vb results(requests.size());
start = std::chrono::system_clock::now();
for (size_t i = 0; i < requests.size(); ++i) {
results[i] = binsearch::binary_search(data.begin(), data.end(), requests[i]);
}
end = std::chrono::system_clock::now();
ull total = static_cast<ull>(std::chrono::duration_cast<std::chrono::nanoseconds>(end - start).count());
double per_request = total * 1. / requests.size();
return std::make_pair(std::make_pair(total, per_request), results);
};
timeres test_bf_self(const vull &data, const vull &requests) {
std::chrono::time_point<std::chrono::system_clock> start, end;
vb results(requests.size());
start = std::chrono::system_clock::now();
for (size_t i = 0; i < requests.size(); ++i) {
results[i] = binsearch::bf_binary_search(data.begin(), data.end(), requests[i]);
}
end = std::chrono::system_clock::now();
ull total = static_cast<ull>(std::chrono::duration_cast<std::chrono::nanoseconds>(end - start).count());
double per_request = total * 1. / requests.size();
return std::make_pair(std::make_pair(total, per_request), results);
};
timeres test_basic(const vull &data, const vull &requests) {
std::chrono::time_point<std::chrono::system_clock> start, end;
vb results(requests.size());
start = std::chrono::system_clock::now();
for (size_t i = 0; i < requests.size(); ++i) {
results[i] = std::binary_search(data.begin(), data.end(), requests[i]);
}
end = std::chrono::system_clock::now();
ull total = static_cast<ull>(std::chrono::duration_cast<std::chrono::nanoseconds>(end - start).count());
double per_request = total * 1. / requests.size();
return std::make_pair(std::make_pair(total, per_request), results);
};
timeres test_prefetch(const vull &data, const vull &requests) {
std::chrono::time_point<std::chrono::system_clock> start, end;
vb results(requests.size());
start = std::chrono::system_clock::now();
for (size_t i = 0; i < requests.size(); ++i) {
results[i] = binsearch::prefetch_binary_search(data.begin(), data.end(), requests[i]);
}
end = std::chrono::system_clock::now();
ull total = static_cast<ull>(std::chrono::duration_cast<std::chrono::nanoseconds>(end - start).count());
double per_request = total * 1. / requests.size();
return std::make_pair(std::make_pair(total, per_request), results);
};
timeres test_bf_prefetch(const vull &data, const vull &requests) {
std::chrono::time_point<std::chrono::system_clock> start, end;
vb results(requests.size());
start = std::chrono::system_clock::now();
for (size_t i = 0; i < requests.size(); ++i) {
results[i] = binsearch::bf_prefetch_binary_search(data.begin(), data.end(), requests[i]);
}
end = std::chrono::system_clock::now();
ull total = static_cast<ull>(std::chrono::duration_cast<std::chrono::nanoseconds>(end - start).count());
double per_request = total * 1. / requests.size();
return std::make_pair(std::make_pair(total, per_request), results);
};
timeres test_sqrt(const vull &data, const vull &requests) {
auto n = data.size();
auto sqrt_n = static_cast<unsigned long long>(ceil(sqrt(n)));
vull helper(static_cast<unsigned long>(ceil(n / sqrt_n)));
for (size_t i = 0, j = 0; j < helper.size();
i = sqrt_n + i >= n
? n - 1
: i + sqrt_n,
j++) {
helper[j] = data[i];
}
misc::drop_caches();
std::chrono::time_point<std::chrono::system_clock> start, end;
vb results(requests.size());
start = std::chrono::system_clock::now();
for (size_t i = 0; i < requests.size(); ++i) {
auto r = std::lower_bound(helper.begin() + 1, helper.end(), requests[i]);
auto idx = std::distance(helper.begin(), r);
unsigned long long le = std::max((idx - 1) * sqrt_n, 0ull);
unsigned long long rg = std::min(idx * sqrt_n + 1, (ull)(data.size()));
results[i] = std::binary_search(data.begin() + le, data.begin() + rg, requests[i]);
}
end = std::chrono::system_clock::now();
ull total = static_cast<ull>(std::chrono::duration_cast<std::chrono::nanoseconds>(end - start).count());
double per_request = total * 1. / requests.size();
return std::make_pair(std::make_pair(total, per_request), results);
}
timeres test_bf_sqrt(const vull &data, const vull &requests) {
auto n = data.size();
auto sqrt_n = static_cast<unsigned long long>(ceil(sqrt(n)));
vull helper(static_cast<unsigned long>(ceil(n / sqrt_n)));
for (size_t i = 0, j = 0; j < helper.size();
i = sqrt_n + i >= n
? n - 1
: i + sqrt_n,
j++) {
helper[j] = data[i];
}
misc::drop_caches();
std::chrono::time_point<std::chrono::system_clock> start, end;
vb results(requests.size());
start = std::chrono::system_clock::now();
for (size_t i = 0; i < requests.size(); ++i) {
auto r = std::lower_bound(helper.begin() + 1, helper.end(), requests[i]);
auto idx = std::distance(helper.begin(), r);
unsigned long long le = std::max((idx - 1) * sqrt_n, 0ull);
unsigned long long rg = std::min(idx * sqrt_n + 1, (ull)(data.size()));
results[i] = binsearch::bf_prefetch_binary_search(data.begin() + le, data.begin() + rg, requests[i]);
}
end = std::chrono::system_clock::now();
ull total = static_cast<ull>(std::chrono::duration_cast<std::chrono::nanoseconds>(end - start).count());
double per_request = total * 1. / requests.size();
return std::make_pair(std::make_pair(total, per_request), results);
}
timeres test_veb(const std::vector<unsigned long long>& data,
const std::vector<unsigned long long>& requests) {
auto veblay = binsearch::veb::implicit_veb::VebLayout(data);
size_t search_len = requests.size();
misc::drop_caches();
std::chrono::time_point<std::chrono::system_clock> start, end;
vb results(requests.size());
start = std::chrono::system_clock::now();
for (size_t i = 0; i < search_len; i++) {
results[i] = (bool) veblay.search(requests[i]);
}
end = std::chrono::system_clock::now();
ull total = static_cast<ull>(std::chrono::duration_cast<std::chrono::nanoseconds>(end - start).count());
double per_request = total * 1. / requests.size();
return std::make_pair(std::make_pair(total, per_request), results);
}
timeres test_explicit_veb(const std::vector<unsigned long long>& data,
const std::vector<unsigned long long>& requests) {
auto veblay = binsearch::veb::explicit_veb::VebLayout(data);
size_t search_len = requests.size();
misc::drop_caches();
std::chrono::time_point<std::chrono::system_clock> start, end;
vb results(requests.size());
start = std::chrono::system_clock::now();
for (size_t i = 0; i < search_len; i++) {
results[i] = (bool) veblay.search(requests[i]);
}
end = std::chrono::system_clock::now();
ull total = static_cast<ull>(std::chrono::duration_cast<std::chrono::nanoseconds>(end - start).count());
double per_request = total * 1. / requests.size();
return std::make_pair(std::make_pair(total, per_request), results);
}
timeres test_lut(const vull &data, const vull &requests) {
std::chrono::time_point<std::chrono::system_clock> start, end;
vb results(requests.size());
binsearch::LUT::InitLut(data, binsearch::LUT::LUT_BITS);
misc::drop_caches();
start = std::chrono::system_clock::now();
for (size_t i = 0; i < requests.size(); ++i) {
results[i] = binsearch::LUT::LutBinarySearch(data, requests[i], binsearch::LUT::LUT_BITS);
}
end = std::chrono::system_clock::now();
ull total = static_cast<ull>(std::chrono::duration_cast<std::chrono::nanoseconds>(end - start).count());
double per_request = total * 1. / requests.size();
return std::make_pair(std::make_pair(total, per_request), results);
};
bool check_results(const std::vector<vb>& results, bool debug = true) {
for (size_t i = 1; i < results.size(); ++i) {
if (!std::equal(results[0].begin(), results[0].end(), results[i].begin())) {
if (debug) {
for (auto j = results[0].begin(), k = results[i].begin();
j != results[0].end(), k != results[i].end();
j++, k++) {
if (*j != *k) {
std::cerr << "Error on: " << i << "\t" << labs(std::distance(k, results[i].begin()))
<< std::endl;
}
}
}
return false;
}
}
return true;
}
void trprint(timeres res, const std::string& name) {
std::cout << "Name: " << name << "\nTotal:\t" << res.first.first << " ns, per request:\t"
<< std::setprecision(4) << res.first.second << " ns\n" << std::endl;
std::cout.flush();
}
void save_res(const vb& data, const std::string& postfix) {
std::ofstream file;
file.open("result_" + postfix + ".txt");
for (auto e: data) {
file << (e ? 1 : 0) << " ";
}
file << std::endl;
file.close();
}
bool run_tests(std::vector<unsigned long long> &data, std::vector<unsigned long long> &reqs) {
// std::vector<vb> results;
// veb
auto veb = test_veb(data, reqs);
// results.push_back(veb.second);
save_res(veb.second, "veb");
trprint(veb, "VEB-layout binsearch");
// explicit veb
auto explicit_veb = test_explicit_veb(data, reqs);
// results.push_back(explicit_veb.second);
save_res(explicit_veb.second, "explicit_veb");
trprint(explicit_veb, "Explicit VEB-layout binsearch");
// default STL
auto basic = test_basic(data, reqs);
// results.push_back(basic.second);
save_res(basic.second, "bs");
trprint(basic, "STL binsearch");
// default self implemented
auto basic_self = test_basic_self(data, reqs);
// results.push_back(basic_self.second);
save_res(basic_self.second, "bs_self");
trprint(basic_self, "Self implemented binsearch");
// branch free self implemented
auto bf_self = test_bf_self(data, reqs);
// results.push_back(bf_self.second);
save_res(bf_self.second, "bf_self");
trprint(bf_self, "branch-free binsearch");
// sqrt
auto bs_sqrt = test_sqrt(data, reqs);
// results.push_back(bs_sqrt.second);
save_res(bs_sqrt.second, "sqrt");
trprint(bs_sqrt, "sqrt-optimized binsearch");
// sqrt boosted
auto bf_sqrt = test_bf_sqrt(data, reqs);
// results.push_back(bf_sqrt.second);
save_res(bf_sqrt.second, "sqrt");
trprint(bf_sqrt, "bf prefetch boosted sqrt-optimized binsearch");
// prefetch
auto pref = test_prefetch(data, reqs);
// results.push_back(pref.second);
save_res(pref.second, "prefetch");
trprint(pref, "prefetch-optimized binsearch");
// bf prefetch
auto bfpref = test_bf_prefetch(data, reqs);
// results.push_back(bfpref.second);
save_res(bfpref.second, "bf_prefetch");
trprint(bfpref, "branch-free prefetch-optimized binsearch");
// LUT
auto lut = test_lut(data, reqs);
// results.push_back(lut.second);
save_res(lut.second, "lut");
trprint(lut, "Look-up table based binsearch");
// return check_results(results);
return true;
};
}
int main(int argc, char **argv) {
unsigned long long n, m;
std::vector<unsigned long long> data, requests;
if (!(argc == 2 && std::string(argv[1]) == "--auto")) {
printf("Starting manual testing mode, provide data size and data, requests count and requests\n\n");
std::cin >> n;
data = misc::read_data(n);
std::cin >> m;
requests = misc::read_data(m);
bool res = tests::run_tests(data, requests);
if (res) {
std::cout << "Tests success" << std::endl;
} else {
std::cout << "Tests failed" << std::endl;
}
} else {
printf("Starting automated testing mode\n\n");
std::vector<bool> res;
const size_t TESTS_NUM = 30;
for (size_t i = 0; i <= TESTS_NUM; ++i) {
std::cerr << i << "/" << TESTS_NUM << std::endl;
n = static_cast<unsigned long long int>(std::pow(10, 4) + i * (std::pow(10, 8) - std::pow(10, 4)) / TESTS_NUM);
m = static_cast<unsigned long long>(pow(10, 5));
printf("data size: %llu, requests count: %llu\n\n", n, m);
data = rands::generate_data(n);
requests = rands::generate_requests(m);
res.push_back(tests::run_tests(data, requests));
}
if (std::all_of(res.begin(), res.end(), [] (bool r) {return r;})) {
std::cout << "Tests success" << std::endl;
} else {
std::cout << "Tests failed" << std::endl;
}
}
return 0;
}