КТМИАД 1

class Mesh: def __init__(self, vert, nobsx, nobsy, sratiox, sratioy): self.points = self.__quadrangulate(nobsx, nobsy) self.points_ids = self.__triangulate(nobsx, nobsy) self.xs, self.ys = self.points[:, 0], self.points[:, 1] self.triangulation = tri.Triangulation(self.points[:, 0], self.points[:, 1], triangles=self.points_ids) self.triangles = self.triangulation.triangles def __quadrangulate(self, nobsx: np.ndarray, nobsy: np.ndarray) -> np.ndarray: xpoint_num = np.sum(nobsx) + 1 - nobsx.shape[0] ypoint_num = np.sum(nobsy) + 1 - nobsy.shape[0] points_shape = (ypoint_num * xpoint_num, 2) points = np.zeros(points_shape) for y_region_num, y_region in enumerate(nobsy): for x_region_num, x_region in enumerate(nobsx): verts = vert[x_region_num : 2 + x_region_num, y_region_num : y_region_num + 2] vert_directions = (verts[:, 1] - verts[:, 0]) / (y_region - 1) left_vert_pts = verts[0, 0] + np.arange(y_region)[:, None] * vert_directions[0] right_vert_pts = verts[1, 0] + np.arange(y_region)[:, None] * vert_directions[1] horiz_directions = (right_vert_pts - left_vert_pts) / (x_region - 1) raw_points = left_vert_pts[:, :, None] + horiz_directions[:, :, None] * np.arange(x_region) local_points = np.zeros((y_region, x_region, 2)) local_points[..., 0] = raw_points[:, 0, :] local_points[..., 1] = raw_points[:, 1, :] x_start_id = np.sum(nobsx[:x_region_num]) - x_region_num x_end_id = x_start_id + x_region y_start_id = np.sum(nobsy[:y_region_num]) - y_region_num y_end_id = y_start_id + y_region x_ids = np.arange(x_start_id, x_end_id) y_ids = np.arange(y_start_id, y_end_id) * xpoint_num local_points_ids = x_ids + y_ids[:, None] points[local_points_ids, :] = local_points return points def __triangulate(self, nobsx: np.ndarray, nobsy: np.ndarray) -> np.ndarray: xpoint_num = np.sum(nobsx) + 1 - nobsx.shape[0] ypoint_num = np.sum(nobsy) + 1 - nobsy.shape[0] i = np.arange(ypoint_num - 1) j = np.arange(xpoint_num - 1) points_left_bottom_ids = (j + i[:, None] * xpoint_num).flatten() points_left_top_ids = (j + (i[:, None] + 1) * xpoint_num).flatten() points_ids = np.zeros((2 * (xpoint_num - 1) * (ypoint_num - 1), 3)) even_elems = np.arange(points_ids.shape[0]) % 2 == 0 points_ids[even_elems, 0] = points_left_bottom_ids points_ids[even_elems, 1] = points_left_top_ids points_ids[even_elems, 2] = points_left_top_ids + 1 odd_elems = np.arange(points_ids.shape[0]) % 2 == 1 points_ids[odd_elems, 0] = points_left_bottom_ids points_ids[odd_elems, 1] = points_left_bottom_ids + 1 points_ids[odd_elems, 2] = points_left_top_ids + 1 return points_ids def __repr__(self) -> str: repr = f"<Mesh{PAD}triangles: {lo(self.triangles.shape[0])}{PAD}points: {lo(self.points)}{PAD}xs: {lo(self.xs)}{PAD}ys: {lo(self.ys)}>" return repr def __str__(self) -> str: return repr(self)

def show_calc_area(mesh: Mesh, figsize: Tuple[int, int], show_ticks: bool = True): fig, ax = plt.subplots(figsize=figsize) ax.set_aspect('equal') if show_ticks: plt.xticks(np.unique(mesh.xs)) plt.yticks(np.unique(mesh.ys)) ax.triplot(mesh.triangulation, 'bo-', lw=1) fig.tight_layout() plt.show()

# from left to right vert = np.array([ [[0, 0], [0, 0.2], [0, 1]], [[1e-5, 0], [1e-5, 0.2], [1e-5, 1]], [[3, 0], [3, 1e-4], [3, 1]], [[7, 0], [7, 1e-4], [7, 1]], [[10-(1e-4), 0], [10-(1e-4), 0.2], [10-(1e-4), 1]], [[10, 0], [10, 0.2], [10, 1]] ], dtype=np.float64)

nobsx, sratiox = np.array([4, 3, 2, 3, 4]), np.array([1, 1, 1, 1, 1]) nobsy, sratioy = np.array([5, 3]), np.array([1, 1])

mesh = Mesh(vert, nobsx, nobsy, sratiox, sratioy)

mesh

show_calc_area(mesh, figsize=(15, 8))