cp-algo/structures/segtree.hpp

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• Last update: 2025-12-12 22:29:00+01:00
• Include: #include "cp-algo/structures/segtree.hpp"

Depends on

• cp-algo/util/big_alloc.hpp

Verified with

• Range Affine Range Sum (verify/structures/segtree/range_affine_range_sum.test.cpp)
• Range Chmin Chmax Add Range Sum (verify/structures/segtree/range_chmin_chmax_add_range_sum.test.cpp)

Code

#ifndef CP_ALGO_STRUCTURES_SEGMENT_TREE_HPP
#define CP_ALGO_STRUCTURES_SEGMENT_TREE_HPP
#include "../util/big_alloc.hpp"
#include <vector>
#include <numeric>
namespace cp_algo::structures {
    template<typename meta>
    struct segtree_t {
        const size_t N;
        big_vector<meta> _meta;

        segtree_t(size_t n): N(n), _meta(4 * N) {}

        segtree_t(big_vector<meta> leafs): N(size(leafs)), _meta(4 * N) {
            build(leafs);
        }

        void pull(size_t v, size_t l, size_t r) {
            if(r - l > 1) {
                _meta[v].pull(_meta[2 * v], _meta[2 * v + 1], l, r);
            }
        }

        void push(size_t v, size_t l, size_t r) {
            if(r - l > 1) {
                _meta[v].push(&_meta[2 * v], &_meta[2 * v + 1], l, r);
            } else {
                _meta[v].push(nullptr, nullptr, l, r);
            }
        }

        void build(auto &a, size_t v, size_t l, size_t r) {
            if(r - l == 1) {
                if(l < size(a)) {
                    _meta[v] = a[l];
                }
            } else {
                size_t m = std::midpoint(l, r);
                build(a, 2 * v, l, m);
                build(a, 2 * v + 1, m, r);
                pull(v, l, r);
            }
        }

        void build(auto &a) {
            build(a, 1, 0, N);
        }

        void exec_on_segment(size_t a, size_t b, auto func, auto proceed, auto stop, size_t v, size_t l, size_t r) {
            push(v, l, r);
            if(r <= a || b <= l || stop(_meta[v])) {
                return;
            } else if(a <= l && r <= b && proceed(_meta[v])) {
                func(_meta[v]);
                push(v, l, r);
            } else {
                size_t m = std::midpoint(l, r);
                exec_on_segment(a, b, func, proceed, stop, 2 * v, l, m);
                exec_on_segment(a, b, func, proceed, stop, 2 * v + 1, m, r);
                pull(v, l, r);
            }
        }

        static constexpr auto default_true = [](auto const&){return true;};
        static constexpr auto default_false = [](auto const&){return false;};

        void exec_on_segment(size_t a, size_t b, auto func, auto proceed, auto stop) {
            exec_on_segment(a, b, func, proceed, stop, 1, 0, N);
        }

        void exec_on_segment(size_t a, size_t b, auto func) {
            exec_on_segment(a, b, func, default_true, default_false);
        }
    };
}
#endif // CP_ALGO_STRUCTURES_SEGMENT_TREE_HPP

#line 1 "cp-algo/structures/segtree.hpp"


#line 1 "cp-algo/util/big_alloc.hpp"



#include <set>
#include <map>
#include <deque>
#include <stack>
#include <queue>
#include <vector>
#include <string>
#include <cstddef>
#include <iostream>
#include <generator>
#include <forward_list>

// Single macro to detect POSIX platforms (Linux, Unix, macOS)
#if defined(__linux__) || defined(__unix__) || (defined(__APPLE__) && defined(__MACH__))
#  define CP_ALGO_USE_MMAP 1
#  include <sys/mman.h>
#else
#  define CP_ALGO_USE_MMAP 0
#endif

namespace cp_algo {
    template <typename T, size_t Align = 32>
    class big_alloc {
        static_assert( Align >= alignof(void*), "Align must be at least pointer-size");
        static_assert(std::popcount(Align) == 1, "Align must be a power of two");
    public:
        using value_type = T;
        template <class U> struct rebind { using other = big_alloc<U, Align>; };
        constexpr bool operator==(const big_alloc&) const = default;
        constexpr bool operator!=(const big_alloc&) const = default;

        big_alloc() noexcept = default;
        template <typename U, std::size_t A>
        big_alloc(const big_alloc<U, A>&) noexcept {}

        [[nodiscard]] T* allocate(std::size_t n) {
            std::size_t padded = round_up(n * sizeof(T));
            std::size_t align = std::max<std::size_t>(alignof(T),  Align);
#if CP_ALGO_USE_MMAP
            if (padded >= MEGABYTE) {
                void* raw = mmap(nullptr, padded,
                                PROT_READ | PROT_WRITE,
                                MAP_PRIVATE | MAP_ANONYMOUS, -1, 0);
                madvise(raw, padded, MADV_HUGEPAGE);
                madvise(raw, padded, MADV_POPULATE_WRITE);
                return static_cast<T*>(raw);
            }
#endif
            return static_cast<T*>(::operator new(padded, std::align_val_t(align)));
        }

        void deallocate(T* p, std::size_t n) noexcept {
            if (!p) return;
            std::size_t padded = round_up(n * sizeof(T));
            std::size_t align  = std::max<std::size_t>(alignof(T),  Align);
    #if CP_ALGO_USE_MMAP
            if (padded >= MEGABYTE) { munmap(p, padded); return; }
    #endif
            ::operator delete(p, padded, std::align_val_t(align));
        }

    private:
        static constexpr std::size_t MEGABYTE = 1 << 20;
        static constexpr std::size_t round_up(std::size_t x) noexcept {
            return (x + Align - 1) / Align * Align;
        }
    };

    template<typename T> using big_vector = std::vector<T, big_alloc<T>>;
    template<typename T> using big_basic_string = std::basic_string<T, std::char_traits<T>, big_alloc<T>>;
    template<typename T> using big_deque = std::deque<T, big_alloc<T>>;
    template<typename T> using big_stack = std::stack<T, big_deque<T>>;
    template<typename T> using big_queue = std::queue<T, big_deque<T>>;
    template<typename T> using big_priority_queue = std::priority_queue<T, big_vector<T>>;
    template<typename T> using big_forward_list = std::forward_list<T, big_alloc<T>>;
    using big_string = big_basic_string<char>;

    template<typename Key, typename Value, typename Compare = std::less<Key>>
    using big_map = std::map<Key, Value, Compare, big_alloc<std::pair<const Key, Value>>>;
    template<typename T, typename Compare = std::less<T>>
    using big_multiset = std::multiset<T, Compare, big_alloc<T>>;
    template<typename T, typename Compare = std::less<T>>
    using big_set = std::set<T, Compare, big_alloc<T>>;
    template<typename Ref, typename V = void>

    using big_generator = std::generator<Ref, V, big_alloc<std::byte>>;
}

// Deduction guide to make elements_of with big_generator default to big_alloc
namespace std::ranges {
    template<typename Ref, typename V>
    elements_of(cp_algo::big_generator<Ref, V>&&) -> elements_of<cp_algo::big_generator<Ref, V>&&, cp_algo::big_alloc<std::byte>>;
}


#line 5 "cp-algo/structures/segtree.hpp"
#include <numeric>
namespace cp_algo::structures {
    template<typename meta>
    struct segtree_t {
        const size_t N;
        big_vector<meta> _meta;

        segtree_t(size_t n): N(n), _meta(4 * N) {}

        segtree_t(big_vector<meta> leafs): N(size(leafs)), _meta(4 * N) {
            build(leafs);
        }

        void pull(size_t v, size_t l, size_t r) {
            if(r - l > 1) {
                _meta[v].pull(_meta[2 * v], _meta[2 * v + 1], l, r);
            }
        }

        void push(size_t v, size_t l, size_t r) {
            if(r - l > 1) {
                _meta[v].push(&_meta[2 * v], &_meta[2 * v + 1], l, r);
            } else {
                _meta[v].push(nullptr, nullptr, l, r);
            }
        }

        void build(auto &a, size_t v, size_t l, size_t r) {
            if(r - l == 1) {
                if(l < size(a)) {
                    _meta[v] = a[l];
                }
            } else {
                size_t m = std::midpoint(l, r);
                build(a, 2 * v, l, m);
                build(a, 2 * v + 1, m, r);
                pull(v, l, r);
            }
        }

        void build(auto &a) {
            build(a, 1, 0, N);
        }

        void exec_on_segment(size_t a, size_t b, auto func, auto proceed, auto stop, size_t v, size_t l, size_t r) {
            push(v, l, r);
            if(r <= a || b <= l || stop(_meta[v])) {
                return;
            } else if(a <= l && r <= b && proceed(_meta[v])) {
                func(_meta[v]);
                push(v, l, r);
            } else {
                size_t m = std::midpoint(l, r);
                exec_on_segment(a, b, func, proceed, stop, 2 * v, l, m);
                exec_on_segment(a, b, func, proceed, stop, 2 * v + 1, m, r);
                pull(v, l, r);
            }
        }

        static constexpr auto default_true = [](auto const&){return true;};
        static constexpr auto default_false = [](auto const&){return false;};

        void exec_on_segment(size_t a, size_t b, auto func, auto proceed, auto stop) {
            exec_on_segment(a, b, func, proceed, stop, 1, 0, N);
        }

        void exec_on_segment(size_t a, size_t b, auto func) {
            exec_on_segment(a, b, func, default_true, default_false);
        }
    };
}

#ifndef CP_ALGO_STRUCTURES_SEGMENT_TREE_HPP
#define CP_ALGO_STRUCTURES_SEGMENT_TREE_HPP
#include "../util/big_alloc.hpp"
#include <vector>
#include <numeric>
namespace cp_algo::structures{template<typename meta>struct segtree_t{const size_t N;big_vector<meta>_meta;segtree_t(size_t n):N(n),_meta(4*N){}segtree_t(big_vector<meta>leafs):N(size(leafs)),_meta(4*N){build(leafs);}void pull(size_t v,size_t l,size_t r){if(r-l>1){_meta[v].pull(_meta[2*v],_meta[2*v+1],l,r);}}void push(size_t v,size_t l,size_t r){if(r-l>1){_meta[v].push(&_meta[2*v],&_meta[2*v+1],l,r);}else{_meta[v].push(nullptr,nullptr,l,r);}}void build(auto&a,size_t v,size_t l,size_t r){if(r-l==1){if(l<size(a)){_meta[v]=a[l];}}else{size_t m=std::midpoint(l,r);build(a,2*v,l,m);build(a,2*v+1,m,r);pull(v,l,r);}}void build(auto&a){build(a,1,0,N);}void exec_on_segment(size_t a,size_t b,auto func,auto proceed,auto stop,size_t v,size_t l,size_t r){push(v,l,r);if(r<=a||b<=l||stop(_meta[v])){return;}else if(a<=l&&r<=b&&proceed(_meta[v])){func(_meta[v]);push(v,l,r);}else{size_t m=std::midpoint(l,r);exec_on_segment(a,b,func,proceed,stop,2*v,l,m);exec_on_segment(a,b,func,proceed,stop,2*v+1,m,r);pull(v,l,r);}}static constexpr auto default_true=[](auto const&){return true;};static constexpr auto default_false=[](auto const&){return false;};void exec_on_segment(size_t a,size_t b,auto func,auto proceed,auto stop){exec_on_segment(a,b,func,proceed,stop,1,0,N);}void exec_on_segment(size_t a,size_t b,auto func){exec_on_segment(a,b,func,default_true,default_false);}};}
#endif

#line 1 "cp-algo/structures/segtree.hpp"
#line 1 "cp-algo/util/big_alloc.hpp"
#include <set>
#include <map>
#include <deque>
#include <stack>
#include <queue>
#include <vector>
#include <string>
#include <cstddef>
#include <iostream>
#include <generator>
#include <forward_list>
#if defined(__linux__) || defined(__unix__) || (defined(__APPLE__) && defined(__MACH__))
#  define CP_ALGO_USE_MMAP 1
#  include <sys/mman.h>
#else
#  define CP_ALGO_USE_MMAP 0
#endif
namespace cp_algo{template<typename T,size_t Align=32>class big_alloc{static_assert(Align>=alignof(void*),"Align must be at least pointer-size");static_assert(std::popcount(Align)==1,"Align must be a power of two");public:using value_type=T;template<class U>struct rebind{using other=big_alloc<U,Align>;};constexpr bool operator==(const big_alloc&)const=default;constexpr bool operator!=(const big_alloc&)const=default;big_alloc()noexcept=default;template<typename U,std::size_t A>big_alloc(const big_alloc<U,A>&)noexcept{}[[nodiscard]]T*allocate(std::size_t n){std::size_t padded=round_up(n*sizeof(T));std::size_t align=std::max<std::size_t>(alignof(T),Align);
#if CP_ALGO_USE_MMAP
if(padded>=MEGABYTE){void*raw=mmap(nullptr,padded,PROT_READ|PROT_WRITE,MAP_PRIVATE|MAP_ANONYMOUS,-1,0);madvise(raw,padded,MADV_HUGEPAGE);madvise(raw,padded,MADV_POPULATE_WRITE);return static_cast<T*>(raw);}
#endif
return static_cast<T*>(::operator new(padded,std::align_val_t(align)));}void deallocate(T*p,std::size_t n)noexcept{if(!p)return;std::size_t padded=round_up(n*sizeof(T));std::size_t align=std::max<std::size_t>(alignof(T),Align);
#if CP_ALGO_USE_MMAP
if(padded>=MEGABYTE){munmap(p,padded);return;}
#endif
::operator delete(p,padded,std::align_val_t(align));}private:static constexpr std::size_t MEGABYTE=1<<20;static constexpr std::size_t round_up(std::size_t x)noexcept{return(x+Align-1)/Align*Align;}};template<typename T>using big_vector=std::vector<T,big_alloc<T>>;template<typename T>using big_basic_string=std::basic_string<T,std::char_traits<T>,big_alloc<T>>;template<typename T>using big_deque=std::deque<T,big_alloc<T>>;template<typename T>using big_stack=std::stack<T,big_deque<T>>;template<typename T>using big_queue=std::queue<T,big_deque<T>>;template<typename T>using big_priority_queue=std::priority_queue<T,big_vector<T>>;template<typename T>using big_forward_list=std::forward_list<T,big_alloc<T>>;using big_string=big_basic_string<char>;template<typename Key,typename Value,typename Compare=std::less<Key>>using big_map=std::map<Key,Value,Compare,big_alloc<std::pair<const Key,Value>>>;template<typename T,typename Compare=std::less<T>>using big_multiset=std::multiset<T,Compare,big_alloc<T>>;template<typename T,typename Compare=std::less<T>>using big_set=std::set<T,Compare,big_alloc<T>>;template<typename Ref,typename V=void>using big_generator=std::generator<Ref,V,big_alloc<std::byte>>;}namespace std::ranges{template<typename Ref,typename V>elements_of(cp_algo::big_generator<Ref,V>&&)->elements_of<cp_algo::big_generator<Ref,V>&&,cp_algo::big_alloc<std::byte>>;}
#line 5 "cp-algo/structures/segtree.hpp"
#include <numeric>
namespace cp_algo::structures{template<typename meta>struct segtree_t{const size_t N;big_vector<meta>_meta;segtree_t(size_t n):N(n),_meta(4*N){}segtree_t(big_vector<meta>leafs):N(size(leafs)),_meta(4*N){build(leafs);}void pull(size_t v,size_t l,size_t r){if(r-l>1){_meta[v].pull(_meta[2*v],_meta[2*v+1],l,r);}}void push(size_t v,size_t l,size_t r){if(r-l>1){_meta[v].push(&_meta[2*v],&_meta[2*v+1],l,r);}else{_meta[v].push(nullptr,nullptr,l,r);}}void build(auto&a,size_t v,size_t l,size_t r){if(r-l==1){if(l<size(a)){_meta[v]=a[l];}}else{size_t m=std::midpoint(l,r);build(a,2*v,l,m);build(a,2*v+1,m,r);pull(v,l,r);}}void build(auto&a){build(a,1,0,N);}void exec_on_segment(size_t a,size_t b,auto func,auto proceed,auto stop,size_t v,size_t l,size_t r){push(v,l,r);if(r<=a||b<=l||stop(_meta[v])){return;}else if(a<=l&&r<=b&&proceed(_meta[v])){func(_meta[v]);push(v,l,r);}else{size_t m=std::midpoint(l,r);exec_on_segment(a,b,func,proceed,stop,2*v,l,m);exec_on_segment(a,b,func,proceed,stop,2*v+1,m,r);pull(v,l,r);}}static constexpr auto default_true=[](auto const&){return true;};static constexpr auto default_false=[](auto const&){return false;};void exec_on_segment(size_t a,size_t b,auto func,auto proceed,auto stop){exec_on_segment(a,b,func,proceed,stop,1,0,N);}void exec_on_segment(size_t a,size_t b,auto func){exec_on_segment(a,b,func,default_true,default_false);}};}

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