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exprtk_sudoku_solver.cpp
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exprtk_sudoku_solver.cpp
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/*
**************************************************************
* C++ Mathematical Expression Toolkit Library *
* *
* ExprTk Sudoku Solver *
* Author: Arash Partow (1999-2024) *
* URL: https://www.partow.net/programming/exprtk/index.html *
* *
* Copyright notice: *
* Free use of the Mathematical Expression Toolkit Library is *
* permitted under the guidelines and in accordance with the *
* most current version of the MIT License. *
* https://www.opensource.org/licenses/MIT *
* SPDX-License-Identifier: MIT *
* *
**************************************************************
*/
#include <string>
#include "exprtk.hpp"
template <typename T>
void sudoku_solver()
{
typedef exprtk::symbol_table<T> symbol_table_t;
typedef exprtk::expression<T> expression_t;
typedef exprtk::parser<T> parser_t;
typedef exprtk::function_compositor<T> compositor_t;
typedef typename compositor_t::function function_t;
std::vector<T> board =
{
0, 0, 0, 0, 0, 8, 2, 0, 5,
0, 0, 0, 3, 2, 0, 0, 0, 8,
0, 0, 0, 0, 0, 5, 6, 0, 0,
0, 1, 0, 0, 4, 7, 0, 9, 3,
0, 0, 0, 0, 0, 0, 0, 0, 0,
8, 6, 0, 2, 3, 0, 0, 1, 0,
0, 0, 6, 8, 0, 0, 0, 0, 0,
5, 0, 0, 0, 7, 3, 0, 0, 0,
4, 0, 3, 9, 0, 0, 0, 0, 0,
};
exprtk::rtl::io::package<T> io_package;
symbol_table_t symbol_table;
symbol_table.add_vector ("board", board);
symbol_table.add_function("print_digit",
[](T v) ->T
{ printf(" %d ",static_cast<int>(v)); return 0; });
symbol_table.add_package (io_package);
compositor_t compositor(symbol_table);
compositor.load_variables(true);
compositor.load_vectors (true);
compositor.add(
function_t("get_board")
.vars("col", "row")
.expression
( " board[row * sqrt(board[]) + col]; " ));
compositor.add(
function_t("set_board")
.vars("col", "row", "value")
.expression
( " board[row * sqrt(board[]) + col] := value; " ));
compositor.add(
function_t("display_board")
.expression
(
" const var n := sqrt(board[]); "
" "
" for (var row := 0; row < n; row += 1) "
" { "
" for (var col := 0; col < n; col += 1) "
" { "
" print_digit(get_board(col,row)); "
" "
" if ((col > 0) and (col < 8) and (col + 1) % 3 == 0) "
" { "
" print('|') "
" } "
" }; "
" "
" println(''); "
" "
" if ((row > 0) and (row < 8) and (row + 1) % 3 == 0) "
" { "
" println('---------+---------+----------'); "
" } "
" } "
));
compositor.add(
function_t("is_valid")
.vars("col", "row", "num")
.expression
(
" const var n := sqrt(board[]); "
" "
" for (var i := 0; i < n; i += 1) "
" { "
" if ( "
" (get_board(col, i ) == num) or "
" (get_board(i , row) == num) "
" ) "
" { "
" return [false]; "
" } "
" }; "
" "
" var subgrid_row := row - floor(row % 3); "
" var subgrid_col := col - floor(col % 3); "
" "
" for (var i := subgrid_row; i < subgrid_row + 3; i += 1) "
" { "
" for (var j := subgrid_col; j < subgrid_col + 3; j += 1) "
" { "
" if (get_board(j,i) == num) "
" { "
" return [false]; "
" } "
" } "
" }; "
" "
" return [true]; "
));
compositor.add(
function_t("solve_sudoku")
.expression
(
" const var n := sqrt(board[]); "
" "
" for (var row := 0; row < n; row += 1) "
" { "
" for (var col := 0; col < n; col += 1) "
" { "
" if (get_board(col, row) != 0) "
" { "
" continue; "
" } "
" "
" for (var num := 1; num <= 9; num += 1) "
" { "
" if (not(is_valid(col, row, num))) "
" { "
" continue; "
" } "
" "
" set_board(col, row, num); "
" "
" if (solve_sudoku()) "
" { "
" return [true]; "
" }; "
" "
" set_board(col, row, 0); "
" }; "
" "
" return [false]; "
" } "
" }; "
" "
" return [true]; "
));
const std::string sudoku_solver_program =
" if (solve_sudoku()) "
" { "
" println('Puzzle Solved!'); "
" } "
" else "
" { "
" println('Error: Failed to solve puzzle.'); "
" }; "
" "
" display_board(); ";
expression_t expression;
expression.register_symbol_table(symbol_table);
parser_t parser;
parser.compile(sudoku_solver_program,expression);
expression.value();
}
int main()
{
sudoku_solver<double>();
return 0;
}