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exprtk_magic_square.cpp
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exprtk_magic_square.cpp
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/*
**************************************************************
* C++ Mathematical Expression Toolkit Library *
* *
* ExprTk Magic Square *
* 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 magic_square()
{
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;
const T n = T(15);
std::vector<T> square(static_cast<std::size_t>(n * n), T(0));
exprtk::rtl::io::package<T> io_package;
symbol_table_t symbol_table;
symbol_table.add_constant("n", n);
symbol_table.add_vector ("square", square);
symbol_table.add_function("print_digit",
[](T v) ->T
{ printf(" %03d ",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_square")
.vars("col", "row")
.expression
( " square[row * n + col]; " ));
compositor.add(
function_t("set_square")
.vars("col", "row", "value")
.expression
( " square[row * n + col] := value; " ));
compositor.add(
function_t("display_magic_square")
.expression
(
" for (var row := 0; row < n; row += 1) "
" { "
" for (var col := 0; col < n; col += 1) "
" { "
" print_digit(get_square(col,row)); "
" }; "
" "
" println(''); "
" } "
));
const std::string magic_square_program =
" var num := 1; "
" var i := 0; "
" var j := floor(n / 2); "
" "
" while (num <= (n * n)) "
" { "
" set_square(i, j, num); "
" num += 1; "
" "
" var i_next := (i - 1 + n) % n; "
" var j_next := (j + 1) % n; "
" "
" if (get_square(i_next, j_next) != 0) "
" { "
" i := (i + 1) % n; "
" } "
" else "
" { "
" i := i_next; "
" j := j_next; "
" } "
" }; "
" "
" println('sum: ', n * (n^2 + 1) / 2); "
" "
" display_magic_square(); ";
expression_t expression;
expression.register_symbol_table(symbol_table);
parser_t parser;
parser.compile(magic_square_program,expression);
expression.value();
}
int main()
{
magic_square<double>();
return 0;
}