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Ingy döt Net 2023-07-01 11:58:00 -04:00
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//////////////////////////////////////////////////////////////////////////////
/// SudokuSolver ///
/// A class that fills up a sudoku board, the initial board is given ///
/// as an array preset_rows, the positions where preset_rows is zero ///
/// are to be determined. Three views of the sudoku board are created ///
/// and the uniqueness of its elements are defined by on constraint for ///
/// each view, one constraint ensures that the values are between 1 and ///
/// 9, and two other constraints are used to ensure that the values in ///
/// all three views agree to each other. ///
/// ///
/// ///
/// A solution using only the "rows" array would be possible, however ///
/// this illustrates better how one can relate different variables in ///
/// SystemVerilog Constrained randomization. ///
//////////////////////////////////////////////////////////////////////////////
class SudokuSolver;
rand int tiles[0:8][0:8];
rand int rows[0:8][0:8];
rand int cols[0:8][0:8];
int preset_rows[0:8][0:8];
constraint board_input {
foreach(preset_rows[i])foreach(preset_rows[i][j])
if(preset_rows[i][j] != 0) rows[i][j] == preset_rows[i][j];
}
constraint range {
foreach(rows[i]) foreach(rows[i][j])
rows[i][j] inside {[1:9]};
}
////////////////////////////////////////////////
/// Every number in a row is unique ///
////////////////////////////////////////////////
constraint rows_permutation {
foreach(rows[i]) foreach(rows[i][j1])
foreach(rows[i][j2])
if(j1 != j2) rows[i][j1] != rows[i][j2];
}
///////////////////////////////////////////////
/// Every number in a column is unique ///
///////////////////////////////////////////////
constraint cols_permutation {
foreach(cols[i]) foreach(cols[i][j1])
foreach(cols[i][j2])
if(j1 != j2) cols[i][j1] != cols[i][j2];
}
/////////////////////////////////////////////////
/// Every number in a tile (square) is unique ///
/////////////////////////////////////////////////
constraint tiles_permutation {
foreach(tiles[i]) foreach(tiles[i][j1])
foreach(tiles[i][j2])
if(j1 != j2) tiles[i][j1] != tiles[i][j2];
}
///////////////////////////////////////////////////
/// Makes sure that sure that the numbers in ///
/// each view agree with other views ///
///////////////////////////////////////////////////
constraint rows_vs_tiles {
foreach(tiles[i]) foreach(tiles[i][j])
tiles[i][j] == rows[(i/3) * 3 + (j/3)][3*(i%3)+(j%3)];
}
constraint rows_vs_cols {
foreach(cols[i]) foreach(cols[i][j])
cols[i][j] == rows[j][i];
}
///////////////////////////////////////////////////
/// Print the current state of the board in the ///
/// standard output ///
///////////////////////////////////////////////////
function void printBoard;
int i, j;
for(i = 0; i < 9; ++i) begin
if(i % 3 == 0)$display(" -------------");
$write(" ");
for(j = 0; j < 9; ++j) begin
if(j % 3 == 0) $write("|");
$write("%c", "0" + rows[i][j]);
end
$display("|");
end
$display(" -------------");
endfunction
function void printInitial;
int i, j;
for(i = 0; i < 9; ++i) begin
if(i % 3 == 0)$display("-------------");
for(j = 0; j < 9; ++j) begin
if(j % 3 == 0) $write("|");
if(preset_rows[i][j]) begin
$write("%c", "0" + preset_rows[i][j]);
end
else begin
$write(".");
end
end
$display("|");
end
$display("-------------");
endfunction
endclass
//////////////////////////////////////////////////////
/// Simple program instantiating the sudoku object ///
//////////////////////////////////////////////////////
program SudokuTest;
SudokuSolver board;
initial begin
board = new;
foreach(board.preset_rows[0][i]) board.preset_rows[i][i] = i+1;
$display("Initial Board:");
board.printInitial();
// Generate two different solutions for the board
if(board.randomize())begin
$display("One solution:");
board.printBoard();
end
else begin
$display("ERROR: Failed to generate first solution");
end
if(board.randomize())begin
$display("Another solution:");
board.printBoard();
end
else begin
$display("ERROR: Failed to generate second solution");
end
end
endprogram