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//////////////////////////////////////////////////////////////////////////////
//
// (C) Copyright Ion Gaztanaga 2015-2016.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// See http://www.boost.org/libs/move for documentation.
//
//////////////////////////////////////////////////////////////////////////////
#ifndef BOOST_MOVE_ALGO_BASIC_OP
#define BOOST_MOVE_ALGO_BASIC_OP
#ifndef BOOST_CONFIG_HPP
# include <boost/config.hpp>
#endif
#
#if defined(BOOST_HAS_PRAGMA_ONCE)
# pragma once
#endif
#include <boost/move/utility_core.hpp>
#include <boost/move/adl_move_swap.hpp>
#include <boost/move/detail/iterator_traits.hpp>
#include <boost/move/algo/move.hpp>
namespace boost {
namespace movelib {
struct forward_t{};
struct backward_t{};
struct three_way_t{};
struct three_way_forward_t{};
struct four_way_t{};
struct move_op
{
template <class SourceIt, class DestinationIt>
inline void operator()(SourceIt source, DestinationIt dest)
{ *dest = ::boost::move(*source); }
template <class SourceIt, class DestinationIt>
inline DestinationIt operator()(forward_t, SourceIt first, SourceIt last, DestinationIt dest_begin)
{ return ::boost::move(first, last, dest_begin); }
template <class SourceIt, class DestinationIt>
inline DestinationIt operator()(backward_t, SourceIt first, SourceIt last, DestinationIt dest_last)
{ return ::boost::move_backward(first, last, dest_last); }
template <class SourceIt, class DestinationIt1, class DestinationIt2>
inline void operator()(three_way_t, SourceIt srcit, DestinationIt1 dest1it, DestinationIt2 dest2it)
{
*dest2it = boost::move(*dest1it);
*dest1it = boost::move(*srcit);
}
template <class SourceIt, class DestinationIt1, class DestinationIt2>
DestinationIt2 operator()(three_way_forward_t, SourceIt srcit, SourceIt srcitend, DestinationIt1 dest1it, DestinationIt2 dest2it)
{
//Destination2 range can overlap SourceIt range so avoid boost::move
while(srcit != srcitend){
this->operator()(three_way_t(), srcit++, dest1it++, dest2it++);
}
return dest2it;
}
template <class SourceIt, class DestinationIt1, class DestinationIt2, class DestinationIt3>
inline void operator()(four_way_t, SourceIt srcit, DestinationIt1 dest1it, DestinationIt2 dest2it, DestinationIt3 dest3it)
{
*dest3it = boost::move(*dest2it);
*dest2it = boost::move(*dest1it);
*dest1it = boost::move(*srcit);
}
};
struct swap_op
{
template <class SourceIt, class DestinationIt>
inline void operator()(SourceIt source, DestinationIt dest)
{ boost::adl_move_swap(*dest, *source); }
template <class SourceIt, class DestinationIt>
inline DestinationIt operator()(forward_t, SourceIt first, SourceIt last, DestinationIt dest_begin)
{ return boost::adl_move_swap_ranges(first, last, dest_begin); }
template <class SourceIt, class DestinationIt>
inline DestinationIt operator()(backward_t, SourceIt first, SourceIt last, DestinationIt dest_begin)
{ return boost::adl_move_swap_ranges_backward(first, last, dest_begin); }
template <class SourceIt, class DestinationIt1, class DestinationIt2>
inline void operator()(three_way_t, SourceIt srcit, DestinationIt1 dest1it, DestinationIt2 dest2it)
{
typename ::boost::movelib::iterator_traits<SourceIt>::value_type tmp(boost::move(*dest2it));
*dest2it = boost::move(*dest1it);
*dest1it = boost::move(*srcit);
*srcit = boost::move(tmp);
}
template <class SourceIt, class DestinationIt1, class DestinationIt2>
DestinationIt2 operator()(three_way_forward_t, SourceIt srcit, SourceIt srcitend, DestinationIt1 dest1it, DestinationIt2 dest2it)
{
while(srcit != srcitend){
this->operator()(three_way_t(), srcit++, dest1it++, dest2it++);
}
return dest2it;
}
template <class SourceIt, class DestinationIt1, class DestinationIt2, class DestinationIt3>
inline void operator()(four_way_t, SourceIt srcit, DestinationIt1 dest1it, DestinationIt2 dest2it, DestinationIt3 dest3it)
{
typename ::boost::movelib::iterator_traits<SourceIt>::value_type tmp(boost::move(*dest3it));
*dest3it = boost::move(*dest2it);
*dest2it = boost::move(*dest1it);
*dest1it = boost::move(*srcit);
*srcit = boost::move(tmp);
}
};
}} //namespace boost::movelib
#endif //BOOST_MOVE_ALGO_BASIC_OP

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//////////////////////////////////////////////////////////////////////////////
//
// (C) Copyright Ion Gaztanaga 2017-2018.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// See http://www.boost.org/libs/move for documentation.
//
//////////////////////////////////////////////////////////////////////////////
//! \file
#ifndef BOOST_MOVE_DETAIL_HEAP_SORT_HPP
#define BOOST_MOVE_DETAIL_HEAP_SORT_HPP
#ifndef BOOST_CONFIG_HPP
# include <boost/config.hpp>
#endif
#
#if defined(BOOST_HAS_PRAGMA_ONCE)
# pragma once
#endif
#include <boost/move/detail/config_begin.hpp>
#include <boost/move/detail/workaround.hpp>
#include <boost/move/detail/iterator_traits.hpp>
#include <boost/move/algo/detail/is_sorted.hpp>
#include <boost/move/utility_core.hpp>
#include <cassert>
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wsign-conversion"
#endif
namespace boost { namespace movelib{
template <class RandomAccessIterator, class Compare>
class heap_sort_helper
{
typedef typename boost::movelib::iter_size<RandomAccessIterator>::type size_type;
typedef typename boost::movelib::iterator_traits<RandomAccessIterator>::value_type value_type;
static void adjust_heap(RandomAccessIterator first, size_type hole_index, size_type const len, value_type &value, Compare comp)
{
size_type const top_index = hole_index;
size_type second_child = size_type(2u*(hole_index + 1u));
while (second_child < len) {
if (comp(*(first + second_child), *(first + size_type(second_child - 1u))))
second_child--;
*(first + hole_index) = boost::move(*(first + second_child));
hole_index = second_child;
second_child = size_type(2u * (second_child + 1u));
}
if (second_child == len) {
*(first + hole_index) = boost::move(*(first + size_type(second_child - 1u)));
hole_index = size_type(second_child - 1);
}
{ //push_heap-like ending
size_type parent = size_type((hole_index - 1u) / 2u);
while (hole_index > top_index && comp(*(first + parent), value)) {
*(first + hole_index) = boost::move(*(first + parent));
hole_index = parent;
parent = size_type((hole_index - 1u) / 2u);
}
*(first + hole_index) = boost::move(value);
}
}
static void make_heap(RandomAccessIterator first, RandomAccessIterator last, Compare comp)
{
size_type const len = size_type(last - first);
if (len > 1) {
size_type parent = size_type(len/2u - 1u);
do {
value_type v(boost::move(*(first + parent)));
adjust_heap(first, parent, len, v, comp);
}while (parent--);
}
}
static void sort_heap(RandomAccessIterator first, RandomAccessIterator last, Compare comp)
{
size_type len = size_type(last - first);
while (len > 1) {
//move biggest to the safe zone
--last;
value_type v(boost::move(*last));
*last = boost::move(*first);
adjust_heap(first, size_type(0), --len, v, comp);
}
}
public:
static void sort(RandomAccessIterator first, RandomAccessIterator last, Compare comp)
{
make_heap(first, last, comp);
sort_heap(first, last, comp);
assert(boost::movelib::is_sorted(first, last, comp));
}
};
template <class RandomAccessIterator, class Compare>
inline void heap_sort(RandomAccessIterator first, RandomAccessIterator last, Compare comp)
{
heap_sort_helper<RandomAccessIterator, Compare>::sort(first, last, comp);
}
}} //namespace boost { namespace movelib{
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic pop
#endif
#include <boost/move/detail/config_end.hpp>
#endif //#ifndef BOOST_MOVE_DETAIL_HEAP_SORT_HPP

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//////////////////////////////////////////////////////////////////////////////
//
// (C) Copyright Ion Gaztanaga 2014-2014.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// See http://www.boost.org/libs/move for documentation.
//
//////////////////////////////////////////////////////////////////////////////
//! \file
#ifndef BOOST_MOVE_DETAIL_INSERT_SORT_HPP
#define BOOST_MOVE_DETAIL_INSERT_SORT_HPP
#ifndef BOOST_CONFIG_HPP
# include <boost/config.hpp>
#endif
#
#if defined(BOOST_HAS_PRAGMA_ONCE)
# pragma once
#endif
#include <boost/move/utility_core.hpp>
#include <boost/move/algo/move.hpp>
#include <boost/move/detail/iterator_traits.hpp>
#include <boost/move/adl_move_swap.hpp>
#include <boost/move/utility_core.hpp>
#include <boost/move/detail/placement_new.hpp>
#include <boost/move/detail/destruct_n.hpp>
#include <boost/move/algo/detail/basic_op.hpp>
#include <boost/move/detail/placement_new.hpp>
#include <boost/move/detail/iterator_to_raw_pointer.hpp>
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wsign-conversion"
#endif
namespace boost { namespace movelib{
// @cond
template <class Compare, class ForwardIterator, class BirdirectionalIterator, class Op>
void insertion_sort_op(ForwardIterator first1, ForwardIterator last1, BirdirectionalIterator first2, Compare comp, Op op)
{
if (first1 != last1){
BirdirectionalIterator last2 = first2;
op(first1, last2);
for (++last2; ++first1 != last1; ++last2){
BirdirectionalIterator j2 = last2;
BirdirectionalIterator i2 = j2;
if (comp(*first1, *--i2)){
op(i2, j2);
for (--j2; i2 != first2 && comp(*first1, *--i2); --j2) {
op(i2, j2);
}
}
op(first1, j2);
}
}
}
template <class Compare, class ForwardIterator, class BirdirectionalIterator>
void insertion_sort_swap(ForwardIterator first1, ForwardIterator last1, BirdirectionalIterator first2, Compare comp)
{
insertion_sort_op(first1, last1, first2, comp, swap_op());
}
template <class Compare, class ForwardIterator, class BirdirectionalIterator>
void insertion_sort_copy(ForwardIterator first1, ForwardIterator last1, BirdirectionalIterator first2, Compare comp)
{
insertion_sort_op(first1, last1, first2, comp, move_op());
}
// @endcond
template <class Compare, class BirdirectionalIterator>
void insertion_sort(BirdirectionalIterator first, BirdirectionalIterator last, Compare comp)
{
typedef typename boost::movelib::iterator_traits<BirdirectionalIterator>::value_type value_type;
if (first != last){
BirdirectionalIterator i = first;
for (++i; i != last; ++i){
BirdirectionalIterator j = i;
if (comp(*i, *--j)) {
value_type tmp(::boost::move(*i));
*i = ::boost::move(*j);
for (BirdirectionalIterator k = j; k != first && comp(tmp, *--k); --j) {
*j = ::boost::move(*k);
}
*j = ::boost::move(tmp);
}
}
}
}
template <class Compare, class BirdirectionalIterator, class BirdirectionalRawIterator>
void insertion_sort_uninitialized_copy
(BirdirectionalIterator first1, BirdirectionalIterator const last1
, BirdirectionalRawIterator const first2
, Compare comp)
{
typedef typename iterator_traits<BirdirectionalIterator>::value_type value_type;
if (first1 != last1){
BirdirectionalRawIterator last2 = first2;
::new((iterator_to_raw_pointer)(last2), boost_move_new_t()) value_type(::boost::move(*first1));
destruct_n<value_type, BirdirectionalRawIterator> d(first2);
d.incr();
for (++last2; ++first1 != last1; ++last2){
BirdirectionalRawIterator j2 = last2;
BirdirectionalRawIterator k2 = j2;
if (comp(*first1, *--k2)){
::new((iterator_to_raw_pointer)(j2), boost_move_new_t()) value_type(::boost::move(*k2));
d.incr();
for (--j2; k2 != first2 && comp(*first1, *--k2); --j2)
*j2 = ::boost::move(*k2);
*j2 = ::boost::move(*first1);
}
else{
::new((iterator_to_raw_pointer)(j2), boost_move_new_t()) value_type(::boost::move(*first1));
d.incr();
}
}
d.release();
}
}
}} //namespace boost { namespace movelib{
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic pop
#endif
#endif //#ifndef BOOST_MOVE_DETAIL_INSERT_SORT_HPP

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#ifndef BOOST_MOVE_DETAIL_IS_SORTED_HPP
#define BOOST_MOVE_DETAIL_IS_SORTED_HPP
///////////////////////////////////////////////////////////////////////////////
//
// (C) Copyright Ion Gaztanaga 2017-2018. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
//
// See http://www.boost.org/libs/container for documentation.
//
///////////////////////////////////////////////////////////////////////////////
#ifndef BOOST_CONFIG_HPP
# include <boost/config.hpp>
#endif
#if defined(BOOST_HAS_PRAGMA_ONCE)
# pragma once
#endif
namespace boost {
namespace movelib {
template<class ForwardIt, class Pred>
bool is_sorted(ForwardIt const first, ForwardIt last, Pred pred)
{
if (first != last) {
ForwardIt next = first, cur(first);
while (++next != last) {
if (pred(*next, *cur))
return false;
cur = next;
}
}
return true;
}
template<class ForwardIt, class Pred>
bool is_sorted_and_unique(ForwardIt first, ForwardIt last, Pred pred)
{
if (first != last) {
ForwardIt next = first;
while (++next != last) {
if (!pred(*first, *next))
return false;
first = next;
}
}
return true;
}
} //namespace movelib {
} //namespace boost {
#endif //BOOST_MOVE_DETAIL_IS_SORTED_HPP

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//////////////////////////////////////////////////////////////////////////////
//
// (C) Copyright Ion Gaztanaga 2015-2016.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// See http://www.boost.org/libs/move for documentation.
//
//////////////////////////////////////////////////////////////////////////////
#ifndef BOOST_MOVE_MERGE_HPP
#define BOOST_MOVE_MERGE_HPP
#include <boost/move/adl_move_swap.hpp>
#include <boost/move/algo/detail/basic_op.hpp>
#include <boost/move/detail/iterator_traits.hpp>
#include <boost/move/detail/destruct_n.hpp>
#include <boost/move/algo/predicate.hpp>
#include <boost/move/algo/detail/search.hpp>
#include <boost/move/detail/iterator_to_raw_pointer.hpp>
#include <cassert>
#include <cstddef>
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wsign-conversion"
#endif
namespace boost {
namespace movelib {
template<class T, class RandRawIt = T*, class SizeType = typename iter_size<RandRawIt>::type>
class adaptive_xbuf
{
adaptive_xbuf(const adaptive_xbuf &);
adaptive_xbuf & operator=(const adaptive_xbuf &);
#if !defined(UINTPTR_MAX)
typedef std::size_t uintptr_t;
#endif
public:
typedef RandRawIt iterator;
typedef SizeType size_type;
inline adaptive_xbuf()
: m_ptr(), m_size(0), m_capacity(0)
{}
inline adaptive_xbuf(RandRawIt raw_memory, size_type cap)
: m_ptr(raw_memory), m_size(0), m_capacity(cap)
{}
template<class RandIt>
void move_assign(RandIt first, size_type n)
{
typedef typename iterator_traits<RandIt>::difference_type rand_diff_t;
if(n <= m_size){
boost::move(first, first+rand_diff_t(n), m_ptr);
size_type sz = m_size;
while(sz-- != n){
m_ptr[sz].~T();
}
m_size = n;
}
else{
RandRawIt result = boost::move(first, first+rand_diff_t(m_size), m_ptr);
boost::uninitialized_move(first+rand_diff_t(m_size), first+rand_diff_t(n), result);
m_size = n;
}
}
template<class RandIt>
void push_back(RandIt first, size_type n)
{
assert(m_capacity - m_size >= n);
boost::uninitialized_move(first, first+n, m_ptr+m_size);
m_size += n;
}
template<class RandIt>
iterator add(RandIt it)
{
assert(m_size < m_capacity);
RandRawIt p_ret = m_ptr + m_size;
::new(&*p_ret) T(::boost::move(*it));
++m_size;
return p_ret;
}
template<class RandIt>
void insert(iterator pos, RandIt it)
{
if(pos == (m_ptr + m_size)){
this->add(it);
}
else{
this->add(m_ptr+m_size-1);
//m_size updated
boost::move_backward(pos, m_ptr+m_size-2, m_ptr+m_size-1);
*pos = boost::move(*it);
}
}
inline void set_size(size_type sz)
{
m_size = sz;
}
void shrink_to_fit(size_type const sz)
{
if(m_size > sz){
for(size_type szt_i = sz; szt_i != m_size; ++szt_i){
m_ptr[szt_i].~T();
}
m_size = sz;
}
}
void initialize_until(size_type const sz, T &t)
{
assert(m_size < m_capacity);
if(m_size < sz){
BOOST_MOVE_TRY
{
::new((void*)&m_ptr[m_size]) T(::boost::move(t));
++m_size;
for(; m_size != sz; ++m_size){
::new((void*)&m_ptr[m_size]) T(::boost::move(m_ptr[m_size-1]));
}
t = ::boost::move(m_ptr[m_size-1]);
}
BOOST_MOVE_CATCH(...)
{
while(m_size)
{
--m_size;
m_ptr[m_size].~T();
}
}
BOOST_MOVE_CATCH_END
}
}
private:
template<class RIt>
inline static bool is_raw_ptr(RIt)
{
return false;
}
inline static bool is_raw_ptr(T*)
{
return true;
}
public:
template<class U>
bool supports_aligned_trailing(size_type sz, size_type trail_count) const
{
if(this->is_raw_ptr(this->data()) && m_capacity){
uintptr_t u_addr_sz = uintptr_t(&*(this->data()+sz));
uintptr_t u_addr_cp = uintptr_t(&*(this->data()+this->capacity()));
u_addr_sz = ((u_addr_sz + sizeof(U)-1)/sizeof(U))*sizeof(U);
return (u_addr_cp >= u_addr_sz) && ((u_addr_cp - u_addr_sz)/sizeof(U) >= trail_count);
}
return false;
}
template<class U>
inline U *aligned_trailing() const
{
return this->aligned_trailing<U>(this->size());
}
template<class U>
inline U *aligned_trailing(size_type pos) const
{
uintptr_t u_addr = uintptr_t(&*(this->data()+pos));
u_addr = ((u_addr + sizeof(U)-1)/sizeof(U))*sizeof(U);
return (U*)u_addr;
}
inline ~adaptive_xbuf()
{
this->clear();
}
inline size_type capacity() const
{ return m_capacity; }
inline iterator data() const
{ return m_ptr; }
inline iterator begin() const
{ return m_ptr; }
inline iterator end() const
{ return m_ptr+m_size; }
inline size_type size() const
{ return m_size; }
inline bool empty() const
{ return !m_size; }
inline void clear()
{
this->shrink_to_fit(0u);
}
private:
RandRawIt m_ptr;
size_type m_size;
size_type m_capacity;
};
template<class Iterator, class SizeType, class Op>
class range_xbuf
{
range_xbuf(const range_xbuf &);
range_xbuf & operator=(const range_xbuf &);
public:
typedef SizeType size_type;
typedef Iterator iterator;
range_xbuf(Iterator first, Iterator last)
: m_first(first), m_last(first), m_cap(last)
{}
template<class RandIt>
void move_assign(RandIt first, size_type n)
{
assert(size_type(n) <= size_type(m_cap-m_first));
typedef typename iter_difference<RandIt>::type d_type;
m_last = Op()(forward_t(), first, first+d_type(n), m_first);
}
~range_xbuf()
{}
size_type capacity() const
{ return m_cap-m_first; }
Iterator data() const
{ return m_first; }
Iterator end() const
{ return m_last; }
size_type size() const
{ return m_last-m_first; }
bool empty() const
{ return m_first == m_last; }
void clear()
{
m_last = m_first;
}
template<class RandIt>
iterator add(RandIt it)
{
Iterator pos(m_last);
*pos = boost::move(*it);
++m_last;
return pos;
}
void set_size(size_type sz)
{
m_last = m_first;
m_last += sz;
}
private:
Iterator const m_first;
Iterator m_last;
Iterator const m_cap;
};
// @cond
/*
template<typename Unsigned>
inline Unsigned gcd(Unsigned x, Unsigned y)
{
if(0 == ((x &(x-1)) | (y & (y-1)))){
return x < y ? x : y;
}
else{
do
{
Unsigned t = x % y;
x = y;
y = t;
} while (y);
return x;
}
}
*/
//Modified version from "An Optimal In-Place Array Rotation Algorithm", Ching-Kuang Shene
template<typename Unsigned>
Unsigned gcd(Unsigned x, Unsigned y)
{
if(0 == ((x &(x-1)) | (y & (y-1)))){
return x < y ? x : y;
}
else{
Unsigned z = 1;
while((!(x&1)) & (!(y&1))){
z = Unsigned(z << 1);
x = Unsigned(x >> 1);
y = Unsigned(y >> 1);
}
while(x && y){
if(!(x&1))
x = Unsigned(x >> 1);
else if(!(y&1))
y = Unsigned (y >> 1);
else if(x >=y)
x = Unsigned((x-y) >> 1u);
else
y = Unsigned((y-x) >> 1);
}
return Unsigned(z*(x+y));
}
}
template<typename RandIt>
RandIt rotate_gcd(RandIt first, RandIt middle, RandIt last)
{
typedef typename iter_size<RandIt>::type size_type;
typedef typename iterator_traits<RandIt>::value_type value_type;
if(first == middle)
return last;
if(middle == last)
return first;
const size_type middle_pos = size_type(middle - first);
RandIt ret = last - middle_pos;
if (middle == ret){
boost::adl_move_swap_ranges(first, middle, middle);
}
else{
const size_type length = size_type(last - first);
for( RandIt it_i(first), it_gcd(it_i + gcd(length, middle_pos))
; it_i != it_gcd
; ++it_i){
value_type temp(boost::move(*it_i));
RandIt it_j = it_i;
RandIt it_k = it_j+middle_pos;
do{
*it_j = boost::move(*it_k);
it_j = it_k;
size_type const left = size_type(last - it_j);
it_k = left > middle_pos ? it_j + middle_pos : first + middle_pos - left;
} while(it_k != it_i);
*it_j = boost::move(temp);
}
}
return ret;
}
template<class RandIt, class Compare, class Op>
void op_merge_left( RandIt buf_first
, RandIt first1
, RandIt const last1
, RandIt const last2
, Compare comp
, Op op)
{
for(RandIt first2=last1; first2 != last2; ++buf_first){
if(first1 == last1){
op(forward_t(), first2, last2, buf_first);
return;
}
else if(comp(*first2, *first1)){
op(first2, buf_first);
++first2;
}
else{
op(first1, buf_first);
++first1;
}
}
if(buf_first != first1){//In case all remaining elements are in the same place
//(e.g. buffer is exactly the size of the second half
//and all elements from the second half are less)
op(forward_t(), first1, last1, buf_first);
}
}
// [buf_first, first1) -> buffer
// [first1, last1) merge [last1,last2) -> [buf_first,buf_first+(last2-first1))
// Elements from buffer are moved to [last2 - (first1-buf_first), last2)
// Note: distance(buf_first, first1) >= distance(last1, last2), so no overlapping occurs
template<class RandIt, class Compare>
void merge_left
(RandIt buf_first, RandIt first1, RandIt const last1, RandIt const last2, Compare comp)
{
op_merge_left(buf_first, first1, last1, last2, comp, move_op());
}
// [buf_first, first1) -> buffer
// [first1, last1) merge [last1,last2) -> [buf_first,buf_first+(last2-first1))
// Elements from buffer are swapped to [last2 - (first1-buf_first), last2)
// Note: distance(buf_first, first1) >= distance(last1, last2), so no overlapping occurs
template<class RandIt, class Compare>
void swap_merge_left
(RandIt buf_first, RandIt first1, RandIt const last1, RandIt const last2, Compare comp)
{
op_merge_left(buf_first, first1, last1, last2, comp, swap_op());
}
template<class RandIt, class Compare, class Op>
void op_merge_right
(RandIt const first1, RandIt last1, RandIt last2, RandIt buf_last, Compare comp, Op op)
{
RandIt const first2 = last1;
while(first1 != last1){
if(last2 == first2){
op(backward_t(), first1, last1, buf_last);
return;
}
--last2;
--last1;
--buf_last;
if(comp(*last2, *last1)){
op(last1, buf_last);
++last2;
}
else{
op(last2, buf_last);
++last1;
}
}
if(last2 != buf_last){ //In case all remaining elements are in the same place
//(e.g. buffer is exactly the size of the first half
//and all elements from the second half are less)
op(backward_t(), first2, last2, buf_last);
}
}
// [last2, buf_last) - buffer
// [first1, last1) merge [last1,last2) -> [first1+(buf_last-last2), buf_last)
// Note: distance[last2, buf_last) >= distance[first1, last1), so no overlapping occurs
template<class RandIt, class Compare>
void merge_right
(RandIt first1, RandIt last1, RandIt last2, RandIt buf_last, Compare comp)
{
op_merge_right(first1, last1, last2, buf_last, comp, move_op());
}
// [last2, buf_last) - buffer
// [first1, last1) merge [last1,last2) -> [first1+(buf_last-last2), buf_last)
// Note: distance[last2, buf_last) >= distance[first1, last1), so no overlapping occurs
template<class RandIt, class Compare>
void swap_merge_right
(RandIt first1, RandIt last1, RandIt last2, RandIt buf_last, Compare comp)
{
op_merge_right(first1, last1, last2, buf_last, comp, swap_op());
}
///////////////////////////////////////////////////////////////////////////////
//
// BUFFERED MERGE
//
///////////////////////////////////////////////////////////////////////////////
template<class RandIt, class Compare, class Op, class Buf>
void op_buffered_merge
( RandIt first, RandIt const middle, RandIt last
, Compare comp, Op op
, Buf &xbuf)
{
if(first != middle && middle != last && comp(*middle, middle[-1])){
typedef typename iter_size<RandIt>::type size_type;
size_type const len1 = size_type(middle-first);
size_type const len2 = size_type(last-middle);
if(len1 <= len2){
first = boost::movelib::upper_bound(first, middle, *middle, comp);
xbuf.move_assign(first, size_type(middle-first));
op_merge_with_right_placed
(xbuf.data(), xbuf.end(), first, middle, last, comp, op);
}
else{
last = boost::movelib::lower_bound(middle, last, middle[-1], comp);
xbuf.move_assign(middle, size_type(last-middle));
op_merge_with_left_placed
(first, middle, last, xbuf.data(), xbuf.end(), comp, op);
}
}
}
template<class RandIt, class Compare, class XBuf>
void buffered_merge
( RandIt first, RandIt const middle, RandIt last
, Compare comp
, XBuf &xbuf)
{
op_buffered_merge(first, middle, last, comp, move_op(), xbuf);
}
//Complexity: min(len1,len2)^2 + max(len1,len2)
template<class RandIt, class Compare>
void merge_bufferless_ON2(RandIt first, RandIt middle, RandIt last, Compare comp)
{
if((middle - first) < (last - middle)){
while(first != middle){
RandIt const old_last1 = middle;
middle = boost::movelib::lower_bound(middle, last, *first, comp);
first = rotate_gcd(first, old_last1, middle);
if(middle == last){
break;
}
do{
++first;
} while(first != middle && !comp(*middle, *first));
}
}
else{
while(middle != last){
RandIt p = boost::movelib::upper_bound(first, middle, last[-1], comp);
last = rotate_gcd(p, middle, last);
middle = p;
if(middle == first){
break;
}
--p;
do{
--last;
} while(middle != last && !comp(last[-1], *p));
}
}
}
static const std::size_t MergeBufferlessONLogNRotationThreshold = 16u;
template <class RandIt, class Compare>
void merge_bufferless_ONlogN_recursive
( RandIt first, RandIt middle, RandIt last
, typename iter_size<RandIt>::type len1
, typename iter_size<RandIt>::type len2
, Compare comp)
{
typedef typename iter_size<RandIt>::type size_type;
while(1) {
//trivial cases
if (!len2) {
return;
}
else if (!len1) {
return;
}
else if (size_type(len1 | len2) == 1u) {
if (comp(*middle, *first))
adl_move_swap(*first, *middle);
return;
}
else if(size_type(len1+len2) < MergeBufferlessONLogNRotationThreshold){
merge_bufferless_ON2(first, middle, last, comp);
return;
}
RandIt first_cut = first;
RandIt second_cut = middle;
size_type len11 = 0;
size_type len22 = 0;
if (len1 > len2) {
len11 = len1 / 2;
first_cut += len11;
second_cut = boost::movelib::lower_bound(middle, last, *first_cut, comp);
len22 = size_type(second_cut - middle);
}
else {
len22 = len2 / 2;
second_cut += len22;
first_cut = boost::movelib::upper_bound(first, middle, *second_cut, comp);
len11 = size_type(first_cut - first);
}
RandIt new_middle = rotate_gcd(first_cut, middle, second_cut);
//Avoid one recursive call doing a manual tail call elimination on the biggest range
const size_type len_internal = size_type(len11+len22);
if( len_internal < (len1 + len2 - len_internal) ) {
merge_bufferless_ONlogN_recursive(first, first_cut, new_middle, len11, len22, comp);
first = new_middle;
middle = second_cut;
len1 = size_type(len1-len11);
len2 = size_type(len2-len22);
}
else {
merge_bufferless_ONlogN_recursive
(new_middle, second_cut, last, size_type(len1 - len11), size_type(len2 - len22), comp);
middle = first_cut;
last = new_middle;
len1 = len11;
len2 = len22;
}
}
}
//Complexity: NlogN
template<class RandIt, class Compare>
void merge_bufferless_ONlogN(RandIt first, RandIt middle, RandIt last, Compare comp)
{
typedef typename iter_size<RandIt>::type size_type;
merge_bufferless_ONlogN_recursive
(first, middle, last, size_type(middle - first), size_type(last - middle), comp);
}
template<class RandIt, class Compare>
void merge_bufferless(RandIt first, RandIt middle, RandIt last, Compare comp)
{
#define BOOST_ADAPTIVE_MERGE_NLOGN_MERGE
#ifdef BOOST_ADAPTIVE_MERGE_NLOGN_MERGE
merge_bufferless_ONlogN(first, middle, last, comp);
#else
merge_bufferless_ON2(first, middle, last, comp);
#endif //BOOST_ADAPTIVE_MERGE_NLOGN_MERGE
}
// [r_first, r_last) are already in the right part of the destination range.
template <class Compare, class InputIterator, class InputOutIterator, class Op>
void op_merge_with_right_placed
( InputIterator first, InputIterator last
, InputOutIterator dest_first, InputOutIterator r_first, InputOutIterator r_last
, Compare comp, Op op)
{
assert((last - first) == (r_first - dest_first));
while ( first != last ) {
if (r_first == r_last) {
InputOutIterator end = op(forward_t(), first, last, dest_first);
assert(end == r_last);
boost::movelib::ignore(end);
return;
}
else if (comp(*r_first, *first)) {
op(r_first, dest_first);
++r_first;
}
else {
op(first, dest_first);
++first;
}
++dest_first;
}
// Remaining [r_first, r_last) already in the correct place
}
template <class Compare, class InputIterator, class InputOutIterator>
void swap_merge_with_right_placed
( InputIterator first, InputIterator last
, InputOutIterator dest_first, InputOutIterator r_first, InputOutIterator r_last
, Compare comp)
{
op_merge_with_right_placed(first, last, dest_first, r_first, r_last, comp, swap_op());
}
// [first, last) are already in the right part of the destination range.
template <class Compare, class Op, class BidirIterator, class BidirOutIterator>
void op_merge_with_left_placed
( BidirOutIterator const first, BidirOutIterator last, BidirOutIterator dest_last
, BidirIterator const r_first, BidirIterator r_last
, Compare comp, Op op)
{
assert((dest_last - last) == (r_last - r_first));
while( r_first != r_last ) {
if(first == last) {
BidirOutIterator res = op(backward_t(), r_first, r_last, dest_last);
assert(last == res);
boost::movelib::ignore(res);
return;
}
--r_last;
--last;
if(comp(*r_last, *last)){
++r_last;
--dest_last;
op(last, dest_last);
}
else{
++last;
--dest_last;
op(r_last, dest_last);
}
}
// Remaining [first, last) already in the correct place
}
// @endcond
// [first, last) are already in the right part of the destination range.
template <class Compare, class BidirIterator, class BidirOutIterator>
void merge_with_left_placed
( BidirOutIterator const first, BidirOutIterator last, BidirOutIterator dest_last
, BidirIterator const r_first, BidirIterator r_last
, Compare comp)
{
op_merge_with_left_placed(first, last, dest_last, r_first, r_last, comp, move_op());
}
// [r_first, r_last) are already in the right part of the destination range.
template <class Compare, class InputIterator, class InputOutIterator>
void merge_with_right_placed
( InputIterator first, InputIterator last
, InputOutIterator dest_first, InputOutIterator r_first, InputOutIterator r_last
, Compare comp)
{
op_merge_with_right_placed(first, last, dest_first, r_first, r_last, comp, move_op());
}
// [r_first, r_last) are already in the right part of the destination range.
// [dest_first, r_first) is uninitialized memory
template <class Compare, class InputIterator, class InputOutIterator>
void uninitialized_merge_with_right_placed
( InputIterator first, InputIterator last
, InputOutIterator dest_first, InputOutIterator r_first, InputOutIterator r_last
, Compare comp)
{
assert((last - first) == (r_first - dest_first));
typedef typename iterator_traits<InputOutIterator>::value_type value_type;
InputOutIterator const original_r_first = r_first;
destruct_n<value_type, InputOutIterator> d(dest_first);
while ( first != last && dest_first != original_r_first ) {
if (r_first == r_last) {
for(; dest_first != original_r_first; ++dest_first, ++first){
::new((iterator_to_raw_pointer)(dest_first)) value_type(::boost::move(*first));
d.incr();
}
d.release();
InputOutIterator end = ::boost::move(first, last, original_r_first);
assert(end == r_last);
boost::movelib::ignore(end);
return;
}
else if (comp(*r_first, *first)) {
::new((iterator_to_raw_pointer)(dest_first)) value_type(::boost::move(*r_first));
d.incr();
++r_first;
}
else {
::new((iterator_to_raw_pointer)(dest_first)) value_type(::boost::move(*first));
d.incr();
++first;
}
++dest_first;
}
d.release();
merge_with_right_placed(first, last, original_r_first, r_first, r_last, comp);
}
/// This is a helper function for the merge routines.
template<typename BidirectionalIterator1, typename BidirectionalIterator2>
BidirectionalIterator1
rotate_adaptive(BidirectionalIterator1 first,
BidirectionalIterator1 middle,
BidirectionalIterator1 last,
typename iter_size<BidirectionalIterator1>::type len1,
typename iter_size<BidirectionalIterator1>::type len2,
BidirectionalIterator2 buffer,
typename iter_size<BidirectionalIterator1>::type buffer_size)
{
if (len1 > len2 && len2 <= buffer_size)
{
if(len2) //Protect against self-move ranges
{
BidirectionalIterator2 buffer_end = boost::move(middle, last, buffer);
boost::move_backward(first, middle, last);
return boost::move(buffer, buffer_end, first);
}
else
return first;
}
else if (len1 <= buffer_size)
{
if(len1) //Protect against self-move ranges
{
BidirectionalIterator2 buffer_end = boost::move(first, middle, buffer);
BidirectionalIterator1 ret = boost::move(middle, last, first);
boost::move(buffer, buffer_end, ret);
return ret;
}
else
return last;
}
else
return rotate_gcd(first, middle, last);
}
template<typename BidirectionalIterator,
typename Pointer, typename Compare>
void merge_adaptive_ONlogN_recursive
(BidirectionalIterator first,
BidirectionalIterator middle,
BidirectionalIterator last,
typename iter_size<BidirectionalIterator>::type len1,
typename iter_size<BidirectionalIterator>::type len2,
Pointer buffer,
typename iter_size<BidirectionalIterator>::type buffer_size,
Compare comp)
{
typedef typename iter_size<BidirectionalIterator>::type size_type;
//trivial cases
if (!len2 || !len1) {
// no-op
}
else if (len1 <= buffer_size || len2 <= buffer_size) {
range_xbuf<Pointer, size_type, move_op> rxbuf(buffer, buffer + buffer_size);
buffered_merge(first, middle, last, comp, rxbuf);
}
else if (size_type(len1 + len2) == 2u) {
if (comp(*middle, *first))
adl_move_swap(*first, *middle);
}
else if (size_type(len1 + len2) < MergeBufferlessONLogNRotationThreshold) {
merge_bufferless_ON2(first, middle, last, comp);
}
else {
BidirectionalIterator first_cut = first;
BidirectionalIterator second_cut = middle;
size_type len11 = 0;
size_type len22 = 0;
if (len1 > len2) //(len1 < len2)
{
len11 = len1 / 2;
first_cut += len11;
second_cut = boost::movelib::lower_bound(middle, last, *first_cut, comp);
len22 = size_type(second_cut - middle);
}
else
{
len22 = len2 / 2;
second_cut += len22;
first_cut = boost::movelib::upper_bound(first, middle, *second_cut, comp);
len11 = size_type(first_cut - first);
}
BidirectionalIterator new_middle
= rotate_adaptive(first_cut, middle, second_cut,
size_type(len1 - len11), len22, buffer,
buffer_size);
merge_adaptive_ONlogN_recursive(first, first_cut, new_middle, len11,
len22, buffer, buffer_size, comp);
merge_adaptive_ONlogN_recursive(new_middle, second_cut, last,
size_type(len1 - len11), size_type(len2 - len22), buffer, buffer_size, comp);
}
}
template<typename BidirectionalIterator, typename Compare, typename RandRawIt>
void merge_adaptive_ONlogN(BidirectionalIterator first,
BidirectionalIterator middle,
BidirectionalIterator last,
Compare comp,
RandRawIt uninitialized,
typename iter_size<BidirectionalIterator>::type uninitialized_len)
{
typedef typename iterator_traits<BidirectionalIterator>::value_type value_type;
typedef typename iter_size<BidirectionalIterator>::type size_type;
if (first == middle || middle == last)
return;
if(uninitialized_len)
{
const size_type len1 = size_type(middle - first);
const size_type len2 = size_type(last - middle);
::boost::movelib::adaptive_xbuf<value_type, RandRawIt> xbuf(uninitialized, uninitialized_len);
xbuf.initialize_until(uninitialized_len, *first);
merge_adaptive_ONlogN_recursive(first, middle, last, len1, len2, xbuf.begin(), uninitialized_len, comp);
}
else
{
merge_bufferless(first, middle, last, comp);
}
}
} //namespace movelib {
} //namespace boost {
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic pop
#endif
#endif //#define BOOST_MOVE_MERGE_HPP

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//////////////////////////////////////////////////////////////////////////////
//
// (C) Copyright Ion Gaztanaga 2015-2016.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// See http://www.boost.org/libs/move for documentation.
//
//////////////////////////////////////////////////////////////////////////////
//! \file
#ifndef BOOST_MOVE_DETAIL_MERGE_SORT_HPP
#define BOOST_MOVE_DETAIL_MERGE_SORT_HPP
#ifndef BOOST_CONFIG_HPP
# include <boost/config.hpp>
#endif
#
#if defined(BOOST_HAS_PRAGMA_ONCE)
# pragma once
#endif
#include <boost/move/detail/config_begin.hpp>
#include <boost/move/detail/workaround.hpp>
#include <boost/move/utility_core.hpp>
#include <boost/move/algo/move.hpp>
#include <boost/move/algo/detail/merge.hpp>
#include <boost/move/detail/iterator_traits.hpp>
#include <boost/move/adl_move_swap.hpp>
#include <boost/move/detail/destruct_n.hpp>
#include <boost/move/algo/detail/insertion_sort.hpp>
#include <cassert>
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wsign-conversion"
#endif
namespace boost {
namespace movelib {
// @cond
static const unsigned MergeSortInsertionSortThreshold = 16;
template <class RandIt, class Compare>
void inplace_stable_sort(RandIt first, RandIt last, Compare comp)
{
typedef typename iter_size<RandIt>::type size_type;
if (size_type(last - first) <= size_type(MergeSortInsertionSortThreshold)) {
insertion_sort(first, last, comp);
return;
}
RandIt middle = first + (last - first) / 2;
inplace_stable_sort(first, middle, comp);
inplace_stable_sort(middle, last, comp);
merge_bufferless_ONlogN_recursive
(first, middle, last, size_type(middle - first), size_type(last - middle), comp);
}
// @endcond
template<class RandIt, class RandIt2, class Compare>
void merge_sort_copy( RandIt first, RandIt last
, RandIt2 dest, Compare comp)
{
typedef typename iter_size<RandIt>::type size_type;
size_type const count = size_type(last - first);
if(count <= MergeSortInsertionSortThreshold){
insertion_sort_copy(first, last, dest, comp);
}
else{
size_type const half = size_type(count/2u);
merge_sort_copy(first + half, last , dest+half , comp);
merge_sort_copy(first , first + half, first + half, comp);
merge_with_right_placed
( first + half, first + half + half
, dest, dest+half, dest + count
, comp);
}
}
template<class RandIt, class RandItRaw, class Compare>
void merge_sort_uninitialized_copy( RandIt first, RandIt last
, RandItRaw uninitialized
, Compare comp)
{
typedef typename iter_size<RandIt>::type size_type;
typedef typename iterator_traits<RandIt>::value_type value_type;
size_type const count = size_type(last - first);
if(count <= MergeSortInsertionSortThreshold){
insertion_sort_uninitialized_copy(first, last, uninitialized, comp);
}
else{
size_type const half = count/2;
merge_sort_uninitialized_copy(first + half, last, uninitialized + half, comp);
destruct_n<value_type, RandItRaw> d(uninitialized+half);
d.incr(size_type(count-half));
merge_sort_copy(first, first + half, first + half, comp);
uninitialized_merge_with_right_placed
( first + half, first + half + half
, uninitialized, uninitialized+half, uninitialized+count
, comp);
d.release();
}
}
template<class RandIt, class RandItRaw, class Compare>
void merge_sort( RandIt first, RandIt last, Compare comp
, RandItRaw uninitialized)
{
typedef typename iter_size<RandIt>::type size_type;
typedef typename iterator_traits<RandIt>::value_type value_type;
size_type const count = size_type(last - first);
if(count <= MergeSortInsertionSortThreshold){
insertion_sort(first, last, comp);
}
else{
size_type const half = size_type(count/2u);
size_type const rest = size_type(count - half);
RandIt const half_it = first + half;
RandIt const rest_it = first + rest;
merge_sort_uninitialized_copy(half_it, last, uninitialized, comp);
destruct_n<value_type, RandItRaw> d(uninitialized);
d.incr(rest);
merge_sort_copy(first, half_it, rest_it, comp);
merge_with_right_placed
( uninitialized, uninitialized + rest
, first, rest_it, last, antistable<Compare>(comp));
}
}
///@cond
template<class RandIt, class RandItRaw, class Compare>
void merge_sort_with_constructed_buffer( RandIt first, RandIt last, Compare comp, RandItRaw buffer)
{
typedef typename iter_size<RandIt>::type size_type;
size_type const count = size_type(last - first);
if(count <= MergeSortInsertionSortThreshold){
insertion_sort(first, last, comp);
}
else{
size_type const half = size_type(count/2);
size_type const rest = size_type(count - half);
RandIt const half_it = first + half;
RandIt const rest_it = first + rest;
merge_sort_copy(half_it, last, buffer, comp);
merge_sort_copy(first, half_it, rest_it, comp);
merge_with_right_placed
(buffer, buffer + rest
, first, rest_it, last, antistable<Compare>(comp));
}
}
template<typename RandIt, typename Pointer,
typename Distance, typename Compare>
void stable_sort_ONlogN_recursive(RandIt first, RandIt last, Pointer buffer, Distance buffer_size, Compare comp)
{
typedef typename iter_size<RandIt>::type size_type;
if (size_type(last - first) <= size_type(MergeSortInsertionSortThreshold)) {
insertion_sort(first, last, comp);
}
else {
const size_type len = size_type(last - first) / 2u;
const RandIt middle = first + len;
if (len > ((buffer_size+1)/2)){
stable_sort_ONlogN_recursive(first, middle, buffer, buffer_size, comp);
stable_sort_ONlogN_recursive(middle, last, buffer, buffer_size, comp);
}
else{
merge_sort_with_constructed_buffer(first, middle, comp, buffer);
merge_sort_with_constructed_buffer(middle, last, comp, buffer);
}
merge_adaptive_ONlogN_recursive(first, middle, last,
size_type(middle - first),
size_type(last - middle),
buffer, buffer_size,
comp);
}
}
template<typename BidirectionalIterator, typename Compare, typename RandRawIt>
void stable_sort_adaptive_ONlogN2(BidirectionalIterator first,
BidirectionalIterator last,
Compare comp,
RandRawIt uninitialized,
std::size_t uninitialized_len)
{
typedef typename iterator_traits<BidirectionalIterator>::value_type value_type;
::boost::movelib::adaptive_xbuf<value_type, RandRawIt> xbuf(uninitialized, uninitialized_len);
xbuf.initialize_until(uninitialized_len, *first);
stable_sort_ONlogN_recursive(first, last, uninitialized, uninitialized_len, comp);
}
///@endcond
}} //namespace boost { namespace movelib{
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic pop
#endif
#include <boost/move/detail/config_end.hpp>
#endif //#ifndef BOOST_MOVE_DETAIL_MERGE_SORT_HPP

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//////////////////////////////////////////////////////////////////////////////
//
// (C) Copyright Orson Peters 2017.
// (C) Copyright Ion Gaztanaga 2017-2018.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// See http://www.boost.org/libs/move for documentation.
//
//////////////////////////////////////////////////////////////////////////////
//
// This implementation of Pattern-defeating quicksort (pdqsort) was written
// by Orson Peters, and discussed in the Boost mailing list:
// http://boost.2283326.n4.nabble.com/sort-pdqsort-td4691031.html
//
// This implementation is the adaptation by Ion Gaztanaga of code originally in GitHub
// with permission from the author to relicense it under the Boost Software License
// (see the Boost mailing list for details).
//
// The original copyright statement is pasted here for completeness:
//
// pdqsort.h - Pattern-defeating quicksort.
// Copyright (c) 2015 Orson Peters
// This software is provided 'as-is', without any express or implied warranty. In no event will the
// authors be held liable for any damages arising from the use of this software.
// Permission is granted to anyone to use this software for any purpose, including commercial
// applications, and to alter it and redistribute it freely, subject to the following restrictions:
// 1. The origin of this software must not be misrepresented; you must not claim that you wrote the
// original software. If you use this software in a product, an acknowledgment in the product
// documentation would be appreciated but is not required.
// 2. Altered source versions must be plainly marked as such, and must not be misrepresented as
// being the original software.
// 3. This notice may not be removed or altered from any source distribution.
//
//////////////////////////////////////////////////////////////////////////////
#ifndef BOOST_MOVE_ALGO_PDQSORT_HPP
#define BOOST_MOVE_ALGO_PDQSORT_HPP
#ifndef BOOST_CONFIG_HPP
# include <boost/config.hpp>
#endif
#
#if defined(BOOST_HAS_PRAGMA_ONCE)
# pragma once
#endif
#include <boost/move/detail/config_begin.hpp>
#include <boost/move/detail/workaround.hpp>
#include <boost/move/utility_core.hpp>
#include <boost/move/algo/detail/insertion_sort.hpp>
#include <boost/move/algo/detail/heap_sort.hpp>
#include <boost/move/detail/iterator_traits.hpp>
#include <boost/move/adl_move_swap.hpp>
#include <cstddef>
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wsign-conversion"
#endif
namespace boost {
namespace movelib {
namespace pdqsort_detail {
//A simple pair implementation to avoid including <utility>
template<class T1, class T2>
struct pair
{
pair()
{}
pair(const T1 &t1, const T2 &t2)
: first(t1), second(t2)
{}
T1 first;
T2 second;
};
enum {
// Partitions below this size are sorted using insertion sort.
insertion_sort_threshold = 24,
// Partitions above this size use Tukey's ninther to select the pivot.
ninther_threshold = 128,
// When we detect an already sorted partition, attempt an insertion sort that allows this
// amount of element moves before giving up.
partial_insertion_sort_limit = 8,
// Must be multiple of 8 due to loop unrolling, and < 256 to fit in unsigned char.
block_size = 64,
// Cacheline size, assumes power of two.
cacheline_size = 64
};
// Returns floor(log2(n)), assumes n > 0.
template<class Unsigned>
Unsigned log2(Unsigned n) {
Unsigned log = 0;
while (n >>= 1) ++log;
return log;
}
// Attempts to use insertion sort on [begin, end). Will return false if more than
// partial_insertion_sort_limit elements were moved, and abort sorting. Otherwise it will
// successfully sort and return true.
template<class Iter, class Compare>
inline bool partial_insertion_sort(Iter begin, Iter end, Compare comp) {
typedef typename boost::movelib::iterator_traits<Iter>::value_type T;
typedef typename boost::movelib:: iter_size<Iter>::type size_type;
if (begin == end) return true;
size_type limit = 0;
for (Iter cur = begin + 1; cur != end; ++cur) {
if (limit > partial_insertion_sort_limit) return false;
Iter sift = cur;
Iter sift_1 = cur - 1;
// Compare first so we can avoid 2 moves for an element already positioned correctly.
if (comp(*sift, *sift_1)) {
T tmp = boost::move(*sift);
do { *sift-- = boost::move(*sift_1); }
while (sift != begin && comp(tmp, *--sift_1));
*sift = boost::move(tmp);
limit += size_type(cur - sift);
}
}
return true;
}
template<class Iter, class Compare>
inline void sort2(Iter a, Iter b, Compare comp) {
if (comp(*b, *a)) boost::adl_move_iter_swap(a, b);
}
// Sorts the elements *a, *b and *c using comparison function comp.
template<class Iter, class Compare>
inline void sort3(Iter a, Iter b, Iter c, Compare comp) {
sort2(a, b, comp);
sort2(b, c, comp);
sort2(a, b, comp);
}
// Partitions [begin, end) around pivot *begin using comparison function comp. Elements equal
// to the pivot are put in the right-hand partition. Returns the position of the pivot after
// partitioning and whether the passed sequence already was correctly partitioned. Assumes the
// pivot is a median of at least 3 elements and that [begin, end) is at least
// insertion_sort_threshold long.
template<class Iter, class Compare>
pdqsort_detail::pair<Iter, bool> partition_right(Iter begin, Iter end, Compare comp) {
typedef typename boost::movelib::iterator_traits<Iter>::value_type T;
// Move pivot into local for speed.
T pivot(boost::move(*begin));
Iter first = begin;
Iter last = end;
// Find the first element greater than or equal than the pivot (the median of 3 guarantees
// this exists).
while (comp(*++first, pivot));
// Find the first element strictly smaller than the pivot. We have to guard this search if
// there was no element before *first.
if (first - 1 == begin) while (first < last && !comp(*--last, pivot));
else while ( !comp(*--last, pivot));
// If the first pair of elements that should be swapped to partition are the same element,
// the passed in sequence already was correctly partitioned.
bool already_partitioned = first >= last;
// Keep swapping pairs of elements that are on the wrong side of the pivot. Previously
// swapped pairs guard the searches, which is why the first iteration is special-cased
// above.
while (first < last) {
boost::adl_move_iter_swap(first, last);
while (comp(*++first, pivot));
while (!comp(*--last, pivot));
}
// Put the pivot in the right place.
Iter pivot_pos = first - 1;
if(begin != pivot_pos) //Avoid potential self-move
*begin = boost::move(*pivot_pos);
*pivot_pos = boost::move(pivot);
return pdqsort_detail::pair<Iter, bool>(pivot_pos, already_partitioned);
}
// Similar function to the one above, except elements equal to the pivot are put to the left of
// the pivot and it doesn't check or return if the passed sequence already was partitioned.
// Since this is rarely used (the many equal case), and in that case pdqsort already has O(n)
// performance, no block quicksort is applied here for simplicity.
template<class Iter, class Compare>
inline Iter partition_left(Iter begin, Iter end, Compare comp) {
typedef typename boost::movelib::iterator_traits<Iter>::value_type T;
T pivot(boost::move(*begin));
Iter first = begin;
Iter last = end;
while (comp(pivot, *--last));
if (last + 1 == end) while (first < last && !comp(pivot, *++first));
else while ( !comp(pivot, *++first));
while (first < last) {
boost::adl_move_iter_swap(first, last);
while (comp(pivot, *--last));
while (!comp(pivot, *++first));
}
Iter pivot_pos = last;
*begin = boost::move(*pivot_pos);
*pivot_pos = boost::move(pivot);
return pivot_pos;
}
template<class Iter, class Compare>
void pdqsort_loop( Iter begin, Iter end, Compare comp
, typename boost::movelib:: iter_size<Iter>::type bad_allowed
, bool leftmost = true)
{
typedef typename boost::movelib:: iter_size<Iter>::type size_type;
// Use a while loop for tail recursion elimination.
while (true) {
size_type size = size_type(end - begin);
// Insertion sort is faster for small arrays.
if (size < insertion_sort_threshold) {
insertion_sort(begin, end, comp);
return;
}
// Choose pivot as median of 3 or pseudomedian of 9.
size_type s2 = size / 2;
if (size > ninther_threshold) {
sort3(begin, begin + s2, end - 1, comp);
sort3(begin + 1, begin + (s2 - 1), end - 2, comp);
sort3(begin + 2, begin + (s2 + 1), end - 3, comp);
sort3(begin + (s2 - 1), begin + s2, begin + (s2 + 1), comp);
boost::adl_move_iter_swap(begin, begin + s2);
} else sort3(begin + s2, begin, end - 1, comp);
// If *(begin - 1) is the end of the right partition of a previous partition operation
// there is no element in [begin, end) that is smaller than *(begin - 1). Then if our
// pivot compares equal to *(begin - 1) we change strategy, putting equal elements in
// the left partition, greater elements in the right partition. We do not have to
// recurse on the left partition, since it's sorted (all equal).
if (!leftmost && !comp(*(begin - 1), *begin)) {
begin = partition_left(begin, end, comp) + 1;
continue;
}
// Partition and get results.
pdqsort_detail::pair<Iter, bool> part_result = partition_right(begin, end, comp);
Iter pivot_pos = part_result.first;
bool already_partitioned = part_result.second;
// Check for a highly unbalanced partition.
size_type l_size = size_type(pivot_pos - begin);
size_type r_size = size_type(end - (pivot_pos + 1));
bool highly_unbalanced = l_size < size / 8 || r_size < size / 8;
// If we got a highly unbalanced partition we shuffle elements to break many patterns.
if (highly_unbalanced) {
// If we had too many bad partitions, switch to heapsort to guarantee O(n log n).
if (--bad_allowed == 0) {
boost::movelib::heap_sort(begin, end, comp);
return;
}
if (l_size >= insertion_sort_threshold) {
boost::adl_move_iter_swap(begin, begin + l_size / 4);
boost::adl_move_iter_swap(pivot_pos - 1, pivot_pos - l_size / 4);
if (l_size > ninther_threshold) {
boost::adl_move_iter_swap(begin + 1, begin + (l_size / 4 + 1));
boost::adl_move_iter_swap(begin + 2, begin + (l_size / 4 + 2));
boost::adl_move_iter_swap(pivot_pos - 2, pivot_pos - (l_size / 4 + 1));
boost::adl_move_iter_swap(pivot_pos - 3, pivot_pos - (l_size / 4 + 2));
}
}
if (r_size >= insertion_sort_threshold) {
boost::adl_move_iter_swap(pivot_pos + 1, pivot_pos + (1 + r_size / 4));
boost::adl_move_iter_swap(end - 1, end - r_size / 4);
if (r_size > ninther_threshold) {
boost::adl_move_iter_swap(pivot_pos + 2, pivot_pos + (2 + r_size / 4));
boost::adl_move_iter_swap(pivot_pos + 3, pivot_pos + (3 + r_size / 4));
boost::adl_move_iter_swap(end - 2, end - (1 + r_size / 4));
boost::adl_move_iter_swap(end - 3, end - (2 + r_size / 4));
}
}
} else {
// If we were decently balanced and we tried to sort an already partitioned
// sequence try to use insertion sort.
if (already_partitioned && partial_insertion_sort(begin, pivot_pos, comp)
&& partial_insertion_sort(pivot_pos + 1, end, comp)) return;
}
// Sort the left partition first using recursion and do tail recursion elimination for
// the right-hand partition.
pdqsort_loop<Iter, Compare>(begin, pivot_pos, comp, bad_allowed, leftmost);
begin = pivot_pos + 1;
leftmost = false;
}
}
}
template<class Iter, class Compare>
void pdqsort(Iter begin, Iter end, Compare comp)
{
if (begin == end) return;
typedef typename boost::movelib:: iter_size<Iter>::type size_type;
pdqsort_detail::pdqsort_loop<Iter, Compare>(begin, end, comp, pdqsort_detail::log2(size_type(end - begin)));
}
} //namespace movelib {
} //namespace boost {
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic pop
#endif
#include <boost/move/detail/config_end.hpp>
#endif //BOOST_MOVE_ALGO_PDQSORT_HPP

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//////////////////////////////////////////////////////////////////////////////
//
// (C) Copyright Ion Gaztanaga 2022-2022.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// See http://www.boost.org/libs/move for documentation.
//
//////////////////////////////////////////////////////////////////////////////
#ifndef BOOST_MOVE_DETAIL_SEARCH_HPP
#define BOOST_MOVE_DETAIL_SEARCH_HPP
#include <boost/move/detail/iterator_traits.hpp>
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wsign-conversion"
#endif
namespace boost {
namespace movelib {
template <class RandIt, class T, class Compare>
RandIt lower_bound
(RandIt first, const RandIt last, const T& key, Compare comp)
{
typedef typename iter_size<RandIt>::type size_type;
size_type len = size_type(last - first);
RandIt middle;
while (len) {
size_type step = size_type(len >> 1);
middle = first;
middle += step;
if (comp(*middle, key)) {
first = ++middle;
len = size_type(len - (step + 1));
}
else{
len = step;
}
}
return first;
}
template <class RandIt, class T, class Compare>
RandIt upper_bound
(RandIt first, const RandIt last, const T& key, Compare comp)
{
typedef typename iter_size<RandIt>::type size_type;
size_type len = size_type(last - first);
RandIt middle;
while (len) {
size_type step = size_type(len >> 1);
middle = first;
middle += step;
if (!comp(key, *middle)) {
first = ++middle;
len = size_type(len - (step + 1));
}
else{
len = step;
}
}
return first;
}
} //namespace movelib {
} //namespace boost {
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic pop
#endif
#endif //#define BOOST_MOVE_DETAIL_SEARCH_HPP

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//////////////////////////////////////////////////////////////////////////////
//
// (C) Copyright Ion Gaztanaga 2017-2017.
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// See http://www.boost.org/libs/move for documentation.
//
//////////////////////////////////////////////////////////////////////////////
#ifndef BOOST_MOVE_SET_DIFFERENCE_HPP
#define BOOST_MOVE_SET_DIFFERENCE_HPP
#include <boost/move/algo/move.hpp>
#include <boost/move/iterator.hpp>
#include <boost/move/utility_core.hpp>
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wsign-conversion"
#endif
namespace boost {
namespace move_detail{
template<class InputIt, class OutputIt>
OutputIt copy(InputIt first, InputIt last, OutputIt result)
{
while (first != last) {
*result++ = *first;
++result;
++first;
}
return result;
}
} //namespace move_detail{
namespace movelib {
//Moves the elements from the sorted range [first1, last1) which are not found in the sorted
//range [first2, last2) to the range beginning at result.
//The resulting range is also sorted. Equivalent elements are treated individually,
//that is, if some element is found m times in [first1, last1) and n times in [first2, last2),
//it will be moved to result exactly max(m-n, 0) times.
//The resulting range cannot overlap with either of the input ranges.
template<class InputIt1, class InputIt2,
class OutputIt, class Compare>
OutputIt set_difference
(InputIt1 first1, InputIt1 last1, InputIt2 first2, InputIt2 last2, OutputIt result, Compare comp)
{
while (first1 != last1) {
if (first2 == last2)
return boost::move_detail::copy(first1, last1, result);
if (comp(*first1, *first2)) {
*result = *first1;
++result;
++first1;
}
else {
if (!comp(*first2, *first1)) {
++first1;
}
++first2;
}
}
return result;
}
//Moves the elements from the sorted range [first1, last1) which are not found in the sorted
//range [first2, last2) to the range beginning at first1 (in place operation in range1).
//The resulting range is also sorted. Equivalent elements are treated individually,
//that is, if some element is found m times in [first1, last1) and n times in [first2, last2),
//it will be moved to result exactly max(m-n, 0) times.
template<class InputOutputIt1, class InputIt2, class Compare>
InputOutputIt1 inplace_set_difference
(InputOutputIt1 first1, InputOutputIt1 last1, InputIt2 first2, InputIt2 last2, Compare comp )
{
while (first1 != last1) {
//Skip copying from range 1 if no element has to be skipped
if (first2 == last2){
return last1;
}
else if (comp(*first1, *first2)){
++first1;
}
else{
if (!comp(*first2, *first1)) {
InputOutputIt1 result = first1;
//An element from range 1 must be skipped, no longer an inplace operation
return boost::movelib::set_difference
( boost::make_move_iterator(++first1)
, boost::make_move_iterator(last1)
, ++first2, last2, result, comp);
}
++first2;
}
}
return first1;
}
//Moves the elements from the sorted range [first1, last1) which are not found in the sorted
//range [first2, last2) to the range beginning at first1.
//The resulting range is also sorted. Equivalent elements from range 1 are moved past to end
//of the result,
//that is, if some element is found m times in [first1, last1) and n times in [first2, last2),
//it will be moved to result exactly max(m-n, 0) times.
//The resulting range cannot overlap with either of the input ranges.
template<class ForwardIt1, class InputIt2,
class OutputIt, class Compare>
OutputIt set_unique_difference
(ForwardIt1 first1, ForwardIt1 last1, InputIt2 first2, InputIt2 last2, OutputIt result, Compare comp)
{
while (first1 != last1) {
if (first2 == last2){
//unique_copy-like sequence with forward iterators but don't write i
//to result before comparing as moving *i could alter the value in i.
ForwardIt1 i = first1;
while (++first1 != last1) {
if (comp(*i, *first1)) {
*result = *i;
++result;
i = first1;
}
}
*result = *i;
++result;
break;
}
if (comp(*first1, *first2)) {
//Skip equivalent elements in range1 but don't write i
//to result before comparing as moving *i could alter the value in i.
ForwardIt1 i = first1;
while (++first1 != last1) {
if (comp(*i, *first1)) {
break;
}
}
*result = *i;
++result;
}
else {
if (comp(*first2, *first1)) {
++first2;
}
else{
++first1;
}
}
}
return result;
}
//Moves the elements from the sorted range [first1, last1) which are not found in the sorted
//range [first2, last2) to the range beginning at first1 (in place operation in range1).
//The resulting range is also sorted. Equivalent elements are treated individually,
//that is, if some element is found m times in [first1, last1) and n times in [first2, last2),
//it will be moved to result exactly max(m-n, 0) times.
template<class ForwardOutputIt1, class ForwardIt2, class Compare>
ForwardOutputIt1 inplace_set_unique_difference
(ForwardOutputIt1 first1, ForwardOutputIt1 last1, ForwardIt2 first2, ForwardIt2 last2, Compare comp )
{
while (first1 != last1) {
//Skip copying from range 1 if no element has to be skipped
if (first2 == last2){
//unique-like algorithm for the remaining range 1
ForwardOutputIt1 result = first1;
while (++first1 != last1) {
if (comp(*result, *first1) && ++result != first1) {
*result = boost::move(*first1);
}
}
return ++result;
}
else if (comp(*first2, *first1)) {
++first2;
}
else if (comp(*first1, *first2)){
//skip any adjacent equivalent element in range 1
ForwardOutputIt1 result = first1;
if (++first1 != last1 && !comp(*result, *first1)) {
//Some elements from range 1 must be skipped, no longer an inplace operation
while (++first1 != last1 && !comp(*result, *first1)){}
return boost::movelib::set_unique_difference
( boost::make_move_iterator(first1)
, boost::make_move_iterator(last1)
, first2, last2, ++result, comp);
}
}
else{
ForwardOutputIt1 result = first1;
//Some elements from range 1 must be skipped, no longer an inplace operation
while (++first1 != last1 && !comp(*result, *first1)){}
//An element from range 1 must be skipped, no longer an inplace operation
return boost::movelib::set_unique_difference
( boost::make_move_iterator(first1)
, boost::make_move_iterator(last1)
, first2, last2, result, comp);
}
}
return first1;
}
#if defined(BOOST_CLANG) || (defined(BOOST_GCC) && (BOOST_GCC >= 40600))
#pragma GCC diagnostic pop
#endif
} //namespace movelib {
} //namespace boost {
#endif //#define BOOST_MOVE_SET_DIFFERENCE_HPP