//Copyright (c) 2021 Ultimaker B.V. //CuraEngine is released under the terms of the AGPLv3 or higher. #include "SquareGrid.hpp" #include "../../Point.hpp" using namespace Slic3r::Arachne; SquareGrid::SquareGrid(coord_t cell_size) : cell_size(cell_size) { assert(cell_size > 0U); } SquareGrid::GridPoint SquareGrid::toGridPoint(const Vec2i64 &point) const { return Point(toGridCoord(point.x()), toGridCoord(point.y())); } SquareGrid::grid_coord_t SquareGrid::toGridCoord(const int64_t &coord) const { // This mapping via truncation results in the cells with // GridPoint.x==0 being twice as large and similarly for // GridPoint.y==0. This doesn't cause any incorrect behavior, // just changes the running time slightly. The change in running // time from this is probably not worth doing a proper floor // operation. return coord / cell_size; } coord_t SquareGrid::toLowerCoord(const grid_coord_t& grid_coord) const { // This mapping via truncation results in the cells with // GridPoint.x==0 being twice as large and similarly for // GridPoint.y==0. This doesn't cause any incorrect behavior, // just changes the running time slightly. The change in running // time from this is probably not worth doing a proper floor // operation. return grid_coord * cell_size; } bool SquareGrid::processLineCells(const std::pair line, const std::function& process_cell_func) { return static_cast(this)->processLineCells(line, process_cell_func); } bool SquareGrid::processLineCells(const std::pair line, const std::function& process_cell_func) const { Point start = line.first; Point end = line.second; if (end.x() < start.x()) { // make sure X increases between start and end std::swap(start, end); } const GridPoint start_cell = toGridPoint(start.cast()); const GridPoint end_cell = toGridPoint(end.cast()); const int64_t y_diff = int64_t(end.y() - start.y()); const grid_coord_t y_dir = nonzeroSign(y_diff); /* This line drawing algorithm iterates over the range of Y coordinates, and for each Y coordinate computes the range of X coordinates crossed in one unit of Y. These ranges are rounded to be inclusive, so effectively this creates a "fat" line, marking more cells than a strict one-cell-wide path.*/ grid_coord_t x_cell_start = start_cell.x(); for (grid_coord_t cell_y = start_cell.y(); cell_y * y_dir <= end_cell.y() * y_dir; cell_y += y_dir) { // for all Y from start to end // nearest y coordinate of the cells in the next row const coord_t nearest_next_y = toLowerCoord(cell_y + ((nonzeroSign(cell_y) == y_dir || cell_y == 0) ? y_dir : coord_t(0))); grid_coord_t x_cell_end; // the X coord of the last cell to include from this row if (y_diff == 0) { x_cell_end = end_cell.x(); } else { const int64_t area = int64_t(end.x() - start.x()) * int64_t(nearest_next_y - start.y()); // corresponding_x: the x coordinate corresponding to nearest_next_y int64_t corresponding_x = int64_t(start.x()) + area / y_diff; x_cell_end = toGridCoord(corresponding_x + ((corresponding_x < 0) && ((area % y_diff) != 0))); if (x_cell_end < start_cell.x()) { // process at least one cell! x_cell_end = x_cell_start; } } for (grid_coord_t cell_x = x_cell_start; cell_x <= x_cell_end; ++cell_x) { GridPoint grid_loc(cell_x, cell_y); if (! process_cell_func(grid_loc)) { return false; } if (grid_loc == end_cell) { return true; } } // TODO: this causes at least a one cell overlap for each row, which // includes extra cells when crossing precisely on the corners // where positive slope where x > 0 and negative slope where x < 0 x_cell_start = x_cell_end; } assert(false && "We should have returned already before here!"); return false; } bool SquareGrid::processNearby ( const Point &query_pt, coord_t radius, const std::function& process_func ) const { const Point min_loc(query_pt.x() - radius, query_pt.y() - radius); const Point max_loc(query_pt.x() + radius, query_pt.y() + radius); GridPoint min_grid = toGridPoint(min_loc.cast()); GridPoint max_grid = toGridPoint(max_loc.cast()); for (coord_t grid_y = min_grid.y(); grid_y <= max_grid.y(); ++grid_y) { for (coord_t grid_x = min_grid.x(); grid_x <= max_grid.x(); ++grid_x) { GridPoint grid_pt(grid_x,grid_y); if (!process_func(grid_pt)) { return false; } } } return true; } SquareGrid::grid_coord_t SquareGrid::nonzeroSign(const grid_coord_t z) const { return (z >= 0) - (z < 0); } coord_t SquareGrid::getCellSize() const { return cell_size; }