class_name PoissonDiscSampling enum ShapeType {CIRCLE, POLYGON} static var shape_info: Dictionary static func generate_points_for_circle(circle_position: Vector2, circle_radius: float, poisson_radius: float, retries: int, start_point := Vector2.INF) -> PackedVector2Array: var sample_region_rect = Rect2(circle_position.x - circle_radius, circle_position.y - circle_radius, circle_radius * 2, circle_radius * 2) if start_point.x == INF: var angle: float = 2 * PI * randf() start_point = circle_position + Vector2(cos(angle), sin(angle)) * circle_radius * randf() elif not Geometry2D.is_point_in_circle(start_point, circle_position, circle_radius): push_error("Starting point ", start_point, " is not a valid point inside the circle!") return PackedVector2Array() shape_info[ShapeType.CIRCLE] = { "circle_position": circle_position, "circle_radius": circle_radius } return _generate_points(ShapeType.CIRCLE, sample_region_rect, poisson_radius, retries, start_point) static func generate_points_for_polygon(polygon: PackedVector2Array, poisson_radius: float, retries: int, start_point := Vector2.INF) -> PackedVector2Array: var start: Vector2 = polygon[0] var end: Vector2 = polygon[0] for i in range(1, polygon.size()): start.x = min(start.x, polygon[i].x) start.y = min(start.y, polygon[i].y) end.x = max(end.x, polygon[i].x) end.y = max(end.y, polygon[i].y) var sample_region_rect = Rect2(start, end - start) if start_point.x == INF: var n: int = polygon.size() var i: int = randi() % n start_point = polygon[i] + (polygon[(i + 1) % n] - polygon[i]) * randf() elif not Geometry2D.is_point_in_polygon(start_point, polygon): push_error("Starting point ", start_point, " is not a valid point inside the polygon!") return PackedVector2Array() shape_info[ShapeType.POLYGON] = {"points" = polygon} return _generate_points(ShapeType.POLYGON, sample_region_rect, poisson_radius, retries, start_point) static func _generate_points(shape: int, sample_region_rect: Rect2, poisson_radius: float, retries: int, start_pos: Vector2) -> PackedVector2Array: var points: PackedVector2Array = PackedVector2Array() points.clear() var cell_size: float = poisson_radius / sqrt(2) var cols: int = max(floor(sample_region_rect.size.x / cell_size), 1) var rows: int = max(floor(sample_region_rect.size.y / cell_size), 1) # scale the cell size in each axis var cell_size_scaled: Vector2 cell_size_scaled.x = sample_region_rect.size.x / cols cell_size_scaled.y = sample_region_rect.size.y / rows # use tranpose to map points starting from origin to calculate grid position var transpose = -sample_region_rect.position var grid: Array = [] for i in cols: grid.append([]) for j in rows: grid[i].append(-1) var spawn_points: Array = [] spawn_points.append(start_pos) while spawn_points.size() > 0: var spawn_index: int = randi() % spawn_points.size() var spawn_centre: Vector2 = spawn_points[spawn_index] var sample_accepted: bool = false for i in retries: var angle: float = 2 * PI * randf() var sample: Vector2 = spawn_centre + Vector2(cos(angle), sin(angle)) * (poisson_radius + poisson_radius * randf()) if _is_point_in_sample_region(sample, shape): if _is_valid_sample(shape, sample, transpose, cell_size_scaled, cols, rows, grid, points, poisson_radius): var cell: Vector2 = Vector2(int((transpose.x + sample.x) / cell_size_scaled.x), int((transpose.y + sample.y) / cell_size_scaled.y)) # fix: https://github.com/udit/poisson-disc-sampling/issues/3 if cell.x < cols and cell.y < rows: grid[cell.x][cell.y] = points.size() points.append(sample) spawn_points.append(sample) sample_accepted = true break if not sample_accepted and points.size() > 0: spawn_points.remove_at(spawn_index) return points static func _is_valid_sample(shape: int, sample: Vector2, transpose: Vector2, cell_size_scaled: Vector2, cols: int, rows: int, grid: Array, points: Array, poisson_radius: float) -> bool: var cell := Vector2(int((transpose.x + sample.x) / cell_size_scaled.x), int((transpose.y + sample.y) / cell_size_scaled.y)) var cell_start := Vector2(max(0, cell.x - 2), max(0, cell.y - 2)) var cell_end := Vector2(min(cell.x + 2, cols - 1), min(cell.y + 2, rows - 1)) for i in range(cell_start.x, cell_end.x + 1): for j in range(cell_start.y, cell_end.y + 1): var search_index: int = grid[i][j] if search_index != -1: var dist: float = points[search_index].distance_to(sample) if dist < poisson_radius: return false return true static func _is_point_in_sample_region(sample: Vector2, shape: int) -> bool: if shape == ShapeType.POLYGON and Geometry2D.is_point_in_polygon(sample, shape_info[shape]["points"]): return true elif shape == ShapeType.CIRCLE and Geometry2D.is_point_in_circle(sample, shape_info[shape]["circle_position"], shape_info[shape]["circle_radius"]): return true else: return false