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TheAlgorithms/C++: machine_learning/a_star_search.cpp Source File

<

N = 3>

std::array<std::array<uint32_t, N>, N>

std::vector<std::pair<int8_t, int8_t>>

= {

(

i = 0; i < N; ++i) {

(

j = 0; j < N; ++j) {

(

uint32_t value)

{

value < N; }

uint32_t

(

i,

j)

{

std::array<std::array<uint32_t, N>, N>

() {

board; }

(

i = 0; i < N; ++i) {

(

j = 0; j < N; ++j) {

board[i][j] = ((i * 3 + j + 1) % (N * N));

(

std::array<std::array<uint32_t, N>, N> &init)

: board(std::move(A.board)) {}

board = std::move(A.board);

std::vector<EightPuzzle<N>> NewStates;

(

&move :

) {

(

(zero_pos.first + move.first) &&

(zero_pos.second + move.second)) {

std::array<std::array<uint32_t, N>, N> new_config = board;

std::swap(new_config[zero_pos.first][zero_pos.second],

new_config[zero_pos.first + move.first]

[zero_pos.second + move.second]);

NewStates.emplace_back(new_state);

(check.get_size() != N) {

(

i = 0; i < N; ++i) {

(

j = 0; j < N; ++j) {

(board[i][j] != check.board[i][j]) {

(

i = 0; i < N; ++i) {

(

j = 0; j < N; ++j) {

(board[i][j] != check.board[i][j]) {

board[i][j] < check.board[i][j];

(

i = 0; i < N; ++i) {

(

j = 0; j < N; ++j) {

(board[i][j] != check.board[i][j]) {

board[i][j] < check.board[i][j];

(

i = 0; i < N; ++i) {

(

j = 0; j < N; ++j) {

op << SomeState.board[i][j] <<

;

<

Puzzle>

std::shared_ptr<Puzzle> state;

(

Puzzle &A) : state(std::make_shared<Puzzle>(A)) {}

(

Puzzle &A,

h_value,

d)

: state(std::make_shared<Puzzle>(A)),

: state(std::make_shared<Puzzle>(A.state)),

: state(std::make_shared<Puzzle>(std::move(A.state))),

(std::move(A.depth)) {}

state = std::move(A.state);

= std::move(A.depth);

std::shared_ptr<Info> Initial;

std::shared_ptr<Info> Final;

operator()(

std::shared_ptr<Info> &a,

std::shared_ptr<Info> &b)

{

*(a->state) < *(b->state);

MapOfPuzzleInfoWithPuzzleInfo =

std::map<std::shared_ptr<Info>, std::shared_ptr<Info>,

MapOfPuzzleInfoWithInteger =

SetOfPuzzleInfo =

Initial = std::make_shared<Info>(initial);

Final = std::make_shared<Info>(

);

std::shared_ptr<Info> FinalState,

MapOfPuzzleInfoWithPuzzleInfo &parent_of) {

current_state = FinalState;

std::vector<Puzzle> answer;

(current_state !=

) {

answer.emplace_back(*current_state->state);

current_state = parent_of.find(current_state)->second;

std::function<uint32_t(

Puzzle &,

Puzzle &)> &dist,

uint32_t permissible_depth = 30) {

MapOfPuzzleInfoWithPuzzleInfo

MapOfPuzzleInfoWithInteger g_score;

SetOfPuzzleInfo open_list;

SetOfPuzzleInfo closed_list;

open_list.emplace(Initial);

parent_of[Initial] =

;

g_score[Initial] = 0;

(!open_list.empty()) {

SetOfPuzzleInfo::iterator it_low_f_score;

uint32_t min_f_score = 1e9;

(

iter = open_list.begin(); iter != open_list.end();

uint32_t f_score = (*iter)->heuristic_value + (*iter)->depth;

(f_score < min_f_score) {

min_f_score = f_score;

it_low_f_score = iter;

std::shared_ptr<Info> current_state = *it_low_f_score;

(*(current_state->state) == *(Final->state)) {

(current_state, parent_of);

open_list.erase(it_low_f_score);

(current_state->depth >= permissible_depth) {

std::vector<Puzzle> total_possible_moves =

current_state->state->generate_possible_moves();

(Puzzle &neighbor : total_possible_moves) {

std::shared_ptr<Info> Neighbor = std::make_shared<Info>(

neighbor, dist(neighbor, *(Final->state)),

current_state->depth + 1U);

uint32_t temp_g_score = Neighbor->depth;

closed_list_iter = closed_list.find(Neighbor);

(closed_list_iter != closed_list.end()) {

(Neighbor->depth < (*closed_list_iter)->depth) {

closed_list.erase(closed_list_iter);

neighbor_g_score_iter = g_score.find(Neighbor);

(neighbor_g_score_iter != g_score.end()) {

(neighbor_g_score_iter->second > temp_g_score) {

neighbor_g_score_iter->second = temp_g_score;

parent_of[Neighbor] = current_state;

g_score[Neighbor] = temp_g_score;

parent_of[Neighbor] = current_state;

iter = open_list.find(Neighbor);

(iter == open_list.end()) {

open_list.emplace(Neighbor);

}

((*iter)->depth > Neighbor->depth) {

(*iter)->depth = Neighbor->depth;

closed_list.emplace(current_state);

std::vector<Puzzle>(0);

matrix3 = std::array<std::array<uint32_t, 3>, 3>;

row3 = std::array<uint32_t, 3>;

matrix4 = std::array<std::array<uint32_t, 4>, 4>;

row4 = std::array<uint32_t, 4>;

puzzle[0] = row3({0, 2, 3});

puzzle[1] = row3({1, 5, 6});

puzzle[2] = row3({4, 7, 8});

ideal[0] = row3({1, 2, 3});

ideal[1] = row3({4, 5, 6});

ideal[2] = row3({7, 8, 0});

manhattan_distance =

(

i = 0; i < first.

(); ++i) {

(

j = 0; j < first.

(); ++j) {

uint32_t

= first.

(i, j);

(

k = 0;

< second.get_size(); ++

) {

(

l = 0;

< second.get_size(); ++

) {

(find == second.get(k, l)) {

std::tie(m, n) = std::make_pair(k, l);

ret += (std::max(m, i) - std::min(m, i)) +

(std::max(n, j) - std::min(n, j));

std::vector<matrix3> answer;

matrix3({row3({0, 2, 3}), row3({1, 5, 6}), row3({4, 7, 8})}));

matrix3({row3({1, 2, 3}), row3({0, 5, 6}), row3({4, 7, 8})}));

matrix3({row3({1, 2, 3}), row3({4, 5, 6}), row3({0, 7, 8})}));

matrix3({row3({1, 2, 3}), row3({4, 5, 6}), row3({7, 0, 8})}));

matrix3({row3({1, 2, 3}), row3({4, 5, 6}), row3({7, 8, 0})}));

std::cout <<

.size() << std::endl;

assert(

.size() == answer.size());

assert(it->get_state() == answer[i]);

puzzle[0] = row3({5, 7, 3});

puzzle[1] = row3({2, 0, 6});

puzzle[2] = row3({1, 4, 8});

ideal[0] = row3({1, 2, 3});

ideal[1] = row3({4, 5, 6});

ideal[2] = row3({7, 8, 0});

std::cout <<

.size() << std::endl;

assert(

[0].get_state() == ideal);

std::cout << *it << std::endl;

puzzle2[0] = row4({10, 1, 6, 2});

puzzle2[1] = row4({5, 8, 4, 3});

puzzle2[2] = row4({13, 0, 7, 11});

puzzle2[3] = row4({14, 9, 15, 12});

ideal2[0] = row4({1, 2, 3, 4});

ideal2[1] = row4({5, 6, 7, 8});

ideal2[2] = row4({9, 10, 11, 12});

ideal2[3] = row4({13, 14, 15, 0});

search2(Puzzle2, Ideal2);

manhattan_distance2 =

(

i = 0; i < first.

(); ++i) {

(

j = 0; j < first.

(); ++j) {

uint32_t

= first.

(i, j);

(

k = 0;

< second.get_size(); ++

) {

(

l = 0;

< second.get_size(); ++

) {

(find == second.get(k, l)) {

std::tie(m, n) = std::make_pair(k, l);

ret += (std::max(m, i) - std::min(m, i)) +

(std::max(n, j) - std::min(n, j));

sol2 = search2.a_star_search(manhattan_distance2);

std::cout << sol2.size() << std::endl;

assert(24 == sol2.size());

assert(sol2[0].get_state() == ideal2);

(

it = sol2.rbegin(); it != sol2.rend(); ++it) {

std::cout << *it << std::endl;

A class defining A* search algorithm. for some initial state and final state.

std::vector< Puzzle > Solution(std::shared_ptr< Info > FinalState, const MapOfPuzzleInfoWithPuzzleInfo &parent_of)

A helper solution: launches when a solution for AyStarSearch is found.

struct machine_learning::aystar_search::AyStarSearch::Info Info

Struct that handles all the information related to the current state.

std::vector< Puzzle > a_star_search(const std::function< uint32_t(const Puzzle &, const Puzzle &)> &dist, const uint32_t permissible_depth=30)

AyStarSearch(const Puzzle &initial, const Puzzle &final)

Parameterized constructor for AyStarSearch.

A class defining EightPuzzle/15-Puzzle game.

EightPuzzle & operator=(EightPuzzle &&A) noexcept

Move assignment operator.

~EightPuzzle()=default

Destructor of EightPuzzle.

std::vector< EightPuzzle< N > > generate_possible_moves()

Find all possible states after processing all possible moves, given the current state of the puzzle.

EightPuzzle()

Default constructor for EightPuzzle.

EightPuzzle & operator=(const EightPuzzle &A)

Copy assignment operator.

bool in_range(const uint32_t value) const

check whether the index value is bounded within the puzzle area

bool operator<(const EightPuzzle< N > &check) const

check whether one board is lexicographically smaller

std::pair< uint32_t, uint32_t > find_zero()

A helper array to evaluate the next state from current state;.

friend std::ostream & operator<<(std::ostream &op, const EightPuzzle< N > &SomeState)

friend operator to display EightPuzzle<>

bool operator==(const EightPuzzle< N > &check) const

check whether two boards are equal

uint32_t get(size_t i, size_t j) const

get the value from i units from right and j units from left side of the board

std::vector< std::pair< int8_t, int8_t > > moves

N x N array to store the current state of the Puzzle.

EightPuzzle(const std::array< std::array< uint32_t, N >, N > &init)

Parameterized Constructor for EightPuzzle.

EightPuzzle(const EightPuzzle< N > &A)

Copy constructor.

std::array< std::array< uint32_t, N >, N > get_state()

Returns the current state of the board.

size_t get_size() const

returns the size of the EightPuzzle (number of row / column)

EightPuzzle(const EightPuzzle< N > &&A) noexcept

Move constructor.

bool operator<=(const EightPuzzle< N > &check) const

check whether one board is lexicographically smaller or equal

double k(double x)

Another test function.

double l(double x)

Another test function.

static void test()

Self-test implementations.

int main()

Main function.

Functions for A* Search implementation.

size_t depth

stores h score

size_t heuristic_value

Holds the current state.

Info(const Info &A)

Copy constructor.

Info(const Puzzle &A)

constructor having Puzzle as parameter

Info(const Info &&A) noexcept

Move constructor.

~Info()=default

Destructor for Info.

Info()=default

stores g score

Info & operator=(const Info &A)

copy assignment operator

Info(const Puzzle &A, size_t h_value, size_t d)

constructor having three parameters

Info & operator=(Info &&A) noexcept

move assignment operator

Custom comparator for open_list.

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