diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml index 16d8e7952..cfc286039 100644 --- a/.github/workflows/main.yml +++ b/.github/workflows/main.yml @@ -40,13 +40,6 @@ jobs: pip install ./PyAutoArray pip install ./PyAutoArray[optional] - cd PyAutoArray/autoarray/util/nn/src/nn - export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/home/runner/work/PyAutoArray/PyAutoArray/PyAutoArray/autoarray/util/nn/src/nn - bash ./configure - cp makefile_autolens makefile - make - cd /home/runner/work/PyAutoArray/PyAutoArray - - name: Extract branch name shell: bash run: | @@ -75,7 +68,6 @@ jobs: export ROOT_DIR=`pwd` export PYTHONPATH=$PYTHONPATH:$ROOT_DIR/PyAutoConf export PYTHONPATH=$PYTHONPATH:$ROOT_DIR/PyAutoArray - export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/home/runner/work/PyAutoArray/PyAutoArray/PyAutoArray/autoarray/util/nn/src/nn pushd PyAutoArray python3 -m pytest --cov autoarray --cov-report xml:coverage.xml - name: Slack send diff --git a/.gitignore b/.gitignore index 146535114..a1df8f42d 100644 --- a/.gitignore +++ b/.gitignore @@ -33,6 +33,3 @@ test_autoarray/unit/structures/files/array.fits test_autoarray/unit/structures/files/frame.fits test_autoarray/unit/structures/files/kernel.fits test_autoarray/unit/structures/grids/files/grid/grid.fits - -# Ignoring all files in autoarray/util/nn/src/. -autoarray/util/nn/src/* diff --git a/autoarray/__init__.py b/autoarray/__init__.py index 97c7dbad4..3380ce317 100644 --- a/autoarray/__init__.py +++ b/autoarray/__init__.py @@ -42,7 +42,6 @@ from .inversion.pixelization.mappers.factory import mapper_from as Mapper from .inversion.pixelization.mappers.rectangular import MapperRectangular from .inversion.pixelization.mappers.delaunay import MapperDelaunay -from .inversion.pixelization.mappers.voronoi import MapperVoronoi from .inversion.pixelization.mappers.rectangular_uniform import MapperRectangularUniform from .inversion.pixelization.image_mesh.abstract import AbstractImageMesh from .inversion.pixelization.mesh.abstract import AbstractMesh @@ -77,7 +76,6 @@ from .structures.grids.irregular_2d import Grid2DIrregular from .structures.mesh.rectangular_2d import Mesh2DRectangular from .structures.mesh.rectangular_2d_uniform import Mesh2DRectangularUniform -from .structures.mesh.voronoi_2d import Mesh2DVoronoi from .structures.mesh.delaunay_2d import Mesh2DDelaunay from .structures.arrays.kernel_2d import Kernel2D from .structures.vectors.uniform import VectorYX2D diff --git a/autoarray/abstract_ndarray.py b/autoarray/abstract_ndarray.py index 22f59e712..d88fc5dba 100644 --- a/autoarray/abstract_ndarray.py +++ b/autoarray/abstract_ndarray.py @@ -73,15 +73,6 @@ def __init__(self, array, xp=np): while isinstance(array, AbstractNDArray): array = array.array self._array = array - # try: - # register_pytree_node( - # type(self), - # self.instance_flatten, - # self.instance_unflatten, - # ) - # except ValueError: - # pass - self._xp = xp def invert(self): diff --git a/autoarray/config/general.yaml b/autoarray/config/general.yaml index a80402109..c7c045969 100644 --- a/autoarray/config/general.yaml +++ b/autoarray/config/general.yaml @@ -14,7 +14,5 @@ numba: cache: true nopython: true parallel: false -pixelization: - voronoi_nn_max_interpolation_neighbors: 300 structures: native_binned_only: false # If True, data structures are only stored in their native and binned format. This is used to reduce memory usage in autocti. diff --git a/autoarray/config/visualize/mat_wrap_2d.yaml b/autoarray/config/visualize/mat_wrap_2d.yaml index 3cd6f4b4e..087032458 100644 --- a/autoarray/config/visualize/mat_wrap_2d.yaml +++ b/autoarray/config/visualize/mat_wrap_2d.yaml @@ -155,15 +155,6 @@ DelaunayDrawer: # wrapper for `plt.fill()`: customize the appearance of De alpha: 0.7 edgecolor: k linewidth: 0.0 -VoronoiDrawer: # wrapper for `plt.fill()`: customize the appearance of Voronoi mesh's. - figure: - alpha: 0.7 - edgecolor: k - linewidth: 0.3 - subplot: - alpha: 0.7 - edgecolor: k - linewidth: 0.3 ParallelOverscanPlot: figure: c: k diff --git a/autoarray/fixtures.py b/autoarray/fixtures.py index df117727a..2b419b185 100644 --- a/autoarray/fixtures.py +++ b/autoarray/fixtures.py @@ -378,28 +378,9 @@ def make_delaunay_mesh_grid_9(): pixel_scales=1.0, ) - return aa.Mesh2DDelaunay(values=grid_9) - - -def make_voronoi_mesh_grid_9(): - grid_9 = aa.Grid2D.no_mask( - values=[ - [0.6, -0.3], - [0.5, -0.8], - [0.2, 0.1], - [0.0, 0.5], - [-0.3, -0.8], - [-0.6, -0.5], - [-0.4, -1.1], - [-1.2, 0.8], - [-1.5, 0.9], - ], - shape_native=(3, 3), - pixel_scales=1.0, - ) - - return aa.Mesh2DVoronoi( + return aa.Mesh2DDelaunay( values=grid_9, + source_plane_data_grid_over_sampled=make_grid_2d_sub_2_7x7().over_sampled, ) @@ -445,22 +426,6 @@ def make_delaunay_mapper_9_3x3(): ) -def make_voronoi_mapper_9_3x3(): - mapper_grids = aa.MapperGrids( - mask=make_mask_2d_7x7(), - source_plane_data_grid=make_grid_2d_sub_2_7x7(), - source_plane_mesh_grid=make_voronoi_mesh_grid_9(), - image_plane_mesh_grid=aa.Grid2D.uniform(shape_native=(3, 3), pixel_scales=0.1), - adapt_data=aa.Array2D.ones(shape_native=(3, 3), pixel_scales=0.1), - ) - - return aa.MapperVoronoi( - mapper_grids=mapper_grids, - border_relocator=make_border_relocator_2d_7x7(), - regularization=make_regularization_constant(), - ) - - def make_rectangular_inversion_7x7_3x3(): return aa.Inversion( dataset=make_masked_imaging_7x7(), @@ -475,12 +440,6 @@ def make_delaunay_inversion_9_3x3(): ) -def make_voronoi_inversion_9_3x3(): - return aa.Inversion( - dataset=make_masked_imaging_7x7(), linear_obj_list=[make_voronoi_mapper_9_3x3()] - ) - - ### EUCLID DATA #### diff --git a/autoarray/inversion/inversion/abstract.py b/autoarray/inversion/inversion/abstract.py index 7600b201e..c41d979eb 100644 --- a/autoarray/inversion/inversion/abstract.py +++ b/autoarray/inversion/inversion/abstract.py @@ -200,33 +200,6 @@ def all_linear_obj_have_regularization(self) -> bool: list(filter(None, self.regularization_list)) ) - @property - def mapper_edge_pixel_list(self) -> List[int]: - """ - Returns the edge pixels of all mappers in the inversion. - - This uses the `edge_pixel_list` property of the `Mesh` of the `Mapper` class, and updates their values to - correspond to the indexing of the overall inversion's `curvature_matrix`. - - This is used to regulareze the edge pixels of the inversion's `reconstruction` or remove them from the - inversion procedure entirely (e.g. make these values of these edge pixels zero). - - Returns - ------- - A list of the edge pixels of all mappers in the inversion, where the values are updated to correspond to the - indexing of the overall inversion's `curvature_matrix`. - """ - mapper_edge_pixel_list = [] - - param_range_list = self.param_range_list_from(cls=LinearObj) - - for param_range, linear_obj in zip(param_range_list, self.linear_obj_list): - if isinstance(linear_obj, AbstractMapper): - for edge_pixel in linear_obj.edge_pixel_list: - mapper_edge_pixel_list.append(edge_pixel + param_range[0]) - - return mapper_edge_pixel_list - @property def total_regularizations(self) -> int: return sum( diff --git a/autoarray/inversion/inversion/mapper_valued.py b/autoarray/inversion/inversion/mapper_valued.py index 2415d52d2..c929d86fa 100644 --- a/autoarray/inversion/inversion/mapper_valued.py +++ b/autoarray/inversion/inversion/mapper_valued.py @@ -16,7 +16,7 @@ def __init__(self, mapper, values, mesh_pixel_mask: Optional[np.ndarray] = None) mapper pixel) in order to perform calculations which use both the `Mapper` and these values. For example, a common use case is to interpolate the reconstruction of values on a mapper from the - mesh of the mapper (e.g. a Voronoi mesh) to a uniform Cartesian grid of values, because the irregular mesh + mesh of the mapper (e.g. a Delaunay mesh) to a uniform Cartesian grid of values, because the irregular mesh is difficult to plot and analyze. This class also provides functionality to compute the magnification of the reconstruction, by comparing the @@ -26,7 +26,7 @@ def __init__(self, mapper, values, mesh_pixel_mask: Optional[np.ndarray] = None) Parameters ---------- mapper - The `Mapper` object which pairs with the values, for example a `MapperVoronoi` object. + The `Mapper` object which pairs with the values, for example a `MapperDelaunay` object. values The values of each pixel of the mapper, which could be the `reconstruction` values of an `Inversion`, but alternatively could be other quantities such as the noise-map of these values. @@ -71,7 +71,7 @@ def interpolated_array_from( extent: Optional[Tuple[float, float, float, float]] = None, ) -> Array2D: """ - The values of a mapper can be on an irregular pixelization (e.g. a Delaunay triangulation, Voronoi mesh). + The values of a mapper can be on an irregular pixelization (e.g. a Delaunay triangulation). Analysing the reconstruction can therefore be difficult and require specific functionality tailored to using this irregular grid. @@ -166,7 +166,7 @@ def max_pixel_centre(self) -> Grid2DIrregular: max_pixel = np.argmax(self.values_masked) max_pixel_centre = Grid2DIrregular( - values=[self.mapper.source_plane_mesh_grid[max_pixel]] + values=[self.mapper.source_plane_mesh_grid.array[max_pixel]] ) return max_pixel_centre @@ -218,7 +218,8 @@ def magnification_via_mesh_from( PSF, as the source plane reconstruction is a non-convolved image. In the source-plane, this is computed by summing the reconstruction values multiplied by the area of each - mesh pixel, for example if the source-plane is a `Voronoi` mesh this is the area of each Voronoi pixel. + mesh pixel, for example if the source-plane is a `Delaunay` mesh this is the area of each corresponding + Delaunay pixel. This calculatiion is generally more robust that using an interpolated image (see `magnification_via_interpolation_from`), because it uses the exact the source-plane reconstruction @@ -244,7 +245,7 @@ def magnification_via_mesh_from( To compute the magnification of a `Delaunay` mesh, use the method `magnification_via_interpolation_from`. - This method only supports a `RectangularMagnification` or `Voronoi` mesh. + This method only supports a `RectangularMagnification`. """ ) @@ -257,8 +258,7 @@ def magnification_via_mesh_from( """ The magnification cannot be computed because the areas of the source-plane mesh pixels are all zero. - This probably means you have specified an invalid source-plane mesh, for example a `Voronoi` mesh - where all pixels are on the edge of the source-plane and therefore have an infinite border. + This probably means you have specified an invalid source-plane mesh. """ ) diff --git a/autoarray/inversion/linear_obj/neighbors.py b/autoarray/inversion/linear_obj/neighbors.py index e94f7b66f..3d860d234 100644 --- a/autoarray/inversion/linear_obj/neighbors.py +++ b/autoarray/inversion/linear_obj/neighbors.py @@ -4,8 +4,7 @@ class Neighbors(np.ndarray): def __new__(cls, arr: np.ndarray, sizes: np.ndarray): """ - Class packaging ndarrays describing the neighbors of every pixel in a mesh (e.g. `RectangularMagnification`, - `Voronoi`). + Class packaging ndarrays describing the neighbors of every pixel in a mesh (e.g. `RectangularMagnification`). The array `arr` contains the pixel indexes of the neighbors of every pixel. Its has shape [total_pixels, max_neighbors_in_single_pixel]. @@ -28,7 +27,7 @@ def __new__(cls, arr: np.ndarray, sizes: np.ndarray): - For pixel 4, the central pixel, neighbors[4,:] = [1, 3, 5, 7] and neighbors_sizes[4] = 4. - The same arrays can be generalized for other pixelizations, for example a `Voronoi` grid. + The same arrays can be generalized for other pixelizations, for example a `Delaunay` grid. Parameters ---------- diff --git a/autoarray/inversion/mock/mock_mapper.py b/autoarray/inversion/mock/mock_mapper.py index a0acac441..ab9a1f0ca 100644 --- a/autoarray/inversion/mock/mock_mapper.py +++ b/autoarray/inversion/mock/mock_mapper.py @@ -14,10 +14,9 @@ def __init__( over_sampler=None, border_relocator=None, adapt_data=None, - edge_pixel_list=None, regularization=None, pix_sub_weights=None, - pix_sub_weights_split_cross=None, + pix_sub_weights_split_points=None, mapping_matrix=None, pixel_signals=None, parameters=None, @@ -37,9 +36,8 @@ def __init__( ) self._over_sampler = over_sampler - self._edge_pixel_list = edge_pixel_list self._pix_sub_weights = pix_sub_weights - self._pix_sub_weights_split_cross = pix_sub_weights_split_cross + self._pix_sub_weights_split_points = pix_sub_weights_split_points self._mapping_matrix = mapping_matrix self._parameters = parameters self._pixel_signals = pixel_signals @@ -62,17 +60,13 @@ def over_sampler(self): return super().over_sampler return self._over_sampler - @property - def edge_pixel_list(self): - return self._edge_pixel_list - @property def pix_sub_weights(self): return self._pix_sub_weights @property - def pix_sub_weights_split_cross(self): - return self._pix_sub_weights_split_cross + def pix_sub_weights_split_points(self): + return self._pix_sub_weights_split_points @property def mapping_matrix(self): diff --git a/autoarray/inversion/pixelization/border_relocator.py b/autoarray/inversion/pixelization/border_relocator.py index d6dfe7545..332b5f623 100644 --- a/autoarray/inversion/pixelization/border_relocator.py +++ b/autoarray/inversion/pixelization/border_relocator.py @@ -412,7 +412,7 @@ def relocated_mesh_grid_from( relocated_grid = relocated_grid_from( grid=mesh_grid.array, - border_grid=grid[self.border_slim], + border_grid=grid[self.sub_border_slim], xp=xp, ) diff --git a/autoarray/inversion/pixelization/image_mesh/overlay.py b/autoarray/inversion/pixelization/image_mesh/overlay.py index 755d60f22..75edf6c9b 100644 --- a/autoarray/inversion/pixelization/image_mesh/overlay.py +++ b/autoarray/inversion/pixelization/image_mesh/overlay.py @@ -201,7 +201,6 @@ def image_plane_mesh_grid_from( adapt_data Not used by this image mesh. """ - pixel_scales = mask.pixel_scales grid = mask.derive_grid.unmasked diff --git a/autoarray/inversion/pixelization/mappers/abstract.py b/autoarray/inversion/pixelization/mappers/abstract.py index 61dce22de..a0544b352 100644 --- a/autoarray/inversion/pixelization/mappers/abstract.py +++ b/autoarray/inversion/pixelization/mappers/abstract.py @@ -25,6 +25,7 @@ def __init__( mapper_grids: MapperGrids, regularization: Optional[AbstractRegularization], border_relocator: BorderRelocator, + preloads=None, xp=np, ): """ @@ -88,6 +89,7 @@ def __init__( self.border_relocator = border_relocator self.mapper_grids = mapper_grids + self.preloads = preloads @property def params(self) -> int: @@ -113,10 +115,6 @@ def image_plane_mesh_grid(self) -> Grid2D: def over_sampler(self): return self.mapper_grids.source_plane_data_grid.over_sampler - @property - def edge_pixel_list(self) -> List[int]: - return self.source_plane_mesh_grid.edge_pixel_list - @property def adapt_data(self) -> np.ndarray: return self.mapper_grids.adapt_data @@ -420,7 +418,7 @@ def interpolated_array_from( ) -> Array2D: """ The reconstructed values of a mapper (e.g. the `reconstruction` of an `Inversion` may be on an irregular - pixelization (e.g. a Delaunay triangulation, Voronoi mesh). + pixelization (e.g. a Delaunay triangulation). Analysing the reconstruction can therefore be difficult and require specific functionality tailored to using this irregular grid. @@ -437,7 +435,7 @@ def interpolated_array_from( ---------- values The value corresponding to the reconstructed value of every pixelization pixel (e.g. Delaunay triangle - vertexes, Voronoi mesh cells). + vertexes). shape_native The 2D shape in pixels of the interpolated reconstruction, which is always returned using square pixels. extent diff --git a/autoarray/inversion/pixelization/mappers/delaunay.py b/autoarray/inversion/pixelization/mappers/delaunay.py index 1fe990bee..15c1e6cdd 100644 --- a/autoarray/inversion/pixelization/mappers/delaunay.py +++ b/autoarray/inversion/pixelization/mappers/delaunay.py @@ -5,7 +5,85 @@ from autoarray.inversion.pixelization.mappers.abstract import AbstractMapper from autoarray.inversion.pixelization.mappers.abstract import PixSubWeights -from autoarray.inversion.pixelization.mappers import mapper_numba_util + +def triangle_area_xp(c0, c1, c2, xp): + """ + Twice triangle area using vector cross product magnitude. + Calling via xp ensures NumPy or JAX backend operation. + """ + v0 = c1 - c0 # (..., 2) + v1 = c2 - c0 + cross = v0[..., 0] * v1[..., 1] - v0[..., 1] * v1[..., 0] + return xp.abs(cross) + + +def pixel_weights_delaunay_from( + source_plane_data_grid, # (N_sub, 2) + source_plane_mesh_grid, # (N_pix, 2) + pix_indexes_for_sub_slim_index, # (N_sub, 3), padded with -1 + xp=np, # backend: np (default) or jnp +): + """ + XP-compatible (NumPy/JAX) version of pixel_weights_delaunay_from. + + Computes barycentric weights for Delaunay triangle interpolation. + """ + + N_sub = pix_indexes_for_sub_slim_index.shape[0] + + # ----------------------------- + # CASE MASKS + # ----------------------------- + # If pix_indexes_for_sub_slim_index[sub][1] == -1 → NOT in simplex + has_simplex = pix_indexes_for_sub_slim_index[:, 1] != -1 # (N_sub,) + + # ----------------------------- + # GATHER TRIANGLE VERTICES + # ----------------------------- + # Clip negatives (for padded entries) so that indexing doesn't crash + safe_indices = pix_indexes_for_sub_slim_index.clip(min=0) + + # (N_sub, 3, 2) + vertices = source_plane_mesh_grid[safe_indices] + + p0 = vertices[:, 0] # (N_sub, 2) + p1 = vertices[:, 1] + p2 = vertices[:, 2] + + # Query points + q = source_plane_data_grid # (N_sub, 2) + + # ----------------------------- + # TRIANGLE AREAS (barycentric numerators) + # ----------------------------- + a0 = triangle_area_xp(p1, p2, q, xp) + a1 = triangle_area_xp(p0, p2, q, xp) + a2 = triangle_area_xp(p0, p1, q, xp) + + area_sum = a0 + a1 + a2 + + # (N_sub, 3) + weights_bary = xp.stack([a0, a1, a2], axis=1) / area_sum[:, None] + + # ----------------------------- + # NEAREST-NEIGHBOUR CASE + # ----------------------------- + # For no-simplex: weight = [1,0,0] + weights_nn = xp.stack( + [ + xp.ones(N_sub), + xp.zeros(N_sub), + xp.zeros(N_sub), + ], + axis=1, + ) + + # ----------------------------- + # SELECT BETWEEN CASES + # ----------------------------- + pixel_weights = xp.where(has_simplex[:, None], weights_bary, weights_nn) + + return pixel_weights class MapperDelaunay(AbstractMapper): @@ -107,36 +185,20 @@ def pix_sub_weights(self) -> PixSubWeights: """ delaunay = self.delaunay - simplex_index_for_sub_slim_index = delaunay.find_simplex( - self.source_plane_data_grid.over_sampled - ) - pix_indexes_for_simplex_index = delaunay.simplices - - mappings, sizes = ( - mapper_numba_util.pix_indexes_for_sub_slim_index_delaunay_from( - source_plane_data_grid=np.array( - self.source_plane_data_grid.over_sampled - ), - simplex_index_for_sub_slim_index=simplex_index_for_sub_slim_index, - pix_indexes_for_simplex_index=pix_indexes_for_simplex_index, - delaunay_points=delaunay.points, - ) - ) - - mappings = mappings.astype("int") - sizes = sizes.astype("int") + mappings = delaunay.mappings.astype("int") + sizes = delaunay.sizes.astype("int") - weights = mapper_numba_util.pixel_weights_delaunay_from( - source_plane_data_grid=np.array(self.source_plane_data_grid.over_sampled), - source_plane_mesh_grid=np.array(self.source_plane_mesh_grid.array), - slim_index_for_sub_slim_index=self.slim_index_for_sub_slim_index, + weights = pixel_weights_delaunay_from( + source_plane_data_grid=self.source_plane_data_grid.over_sampled, + source_plane_mesh_grid=self.source_plane_mesh_grid.array, pix_indexes_for_sub_slim_index=mappings, + xp=self._xp, ) return PixSubWeights(mappings=mappings, sizes=sizes, weights=weights) @property - def pix_sub_weights_split_cross(self) -> PixSubWeights: + def pix_sub_weights_split_points(self) -> PixSubWeights: """ The property `pix_sub_weights` property describes the calculation of the `PixSubWeights` object, which contains numpy arrays describing how data-points and mapper pixels map to one another and the weights of these mappings. @@ -150,33 +212,20 @@ def pix_sub_weights_split_cross(self) -> PixSubWeights: """ delaunay = self.delaunay - splitted_simplex_index_for_sub_slim_index = delaunay.find_simplex( - self.source_plane_mesh_grid.split_cross - ) - pix_indexes_for_simplex_index = delaunay.simplices - - ( - splitted_mappings, - splitted_sizes, - ) = mapper_numba_util.pix_indexes_for_sub_slim_index_delaunay_from( - source_plane_data_grid=self.source_plane_mesh_grid.split_cross, - simplex_index_for_sub_slim_index=splitted_simplex_index_for_sub_slim_index, - pix_indexes_for_simplex_index=pix_indexes_for_simplex_index, - delaunay_points=delaunay.points, - ) - - splitted_weights = mapper_numba_util.pixel_weights_delaunay_from( - source_plane_data_grid=self.source_plane_mesh_grid.split_cross, - source_plane_mesh_grid=np.array(self.source_plane_mesh_grid.array), - slim_index_for_sub_slim_index=self.source_plane_mesh_grid.split_cross, - pix_indexes_for_sub_slim_index=splitted_mappings.astype("int"), + splitted_weights = pixel_weights_delaunay_from( + source_plane_data_grid=delaunay.split_points, + source_plane_mesh_grid=self.source_plane_mesh_grid.array, + pix_indexes_for_sub_slim_index=delaunay.splitted_mappings.astype("int"), + xp=self._xp, ) append_line_int = np.zeros((len(splitted_weights), 1), dtype="int") - 1 append_line_float = np.zeros((len(splitted_weights), 1), dtype="float") return PixSubWeights( - mappings=np.hstack((splitted_mappings.astype("int"), append_line_int)), - sizes=splitted_sizes.astype("int"), - weights=np.hstack((splitted_weights, append_line_float)), + mappings=self._xp.hstack( + (delaunay.splitted_mappings.astype(self._xp.int32), append_line_int) + ), + sizes=delaunay.splitted_sizes.astype(self._xp.int32), + weights=self._xp.hstack((splitted_weights, append_line_float)), ) diff --git a/autoarray/inversion/pixelization/mappers/factory.py b/autoarray/inversion/pixelization/mappers/factory.py index 71ed472af..94ae0d3ea 100644 --- a/autoarray/inversion/pixelization/mappers/factory.py +++ b/autoarray/inversion/pixelization/mappers/factory.py @@ -7,13 +7,13 @@ from autoarray.structures.mesh.rectangular_2d import Mesh2DRectangular from autoarray.structures.mesh.rectangular_2d_uniform import Mesh2DRectangularUniform from autoarray.structures.mesh.delaunay_2d import Mesh2DDelaunay -from autoarray.structures.mesh.voronoi_2d import Mesh2DVoronoi def mapper_from( mapper_grids: MapperGrids, regularization: Optional[AbstractRegularization], border_relocator: Optional[BorderRelocator] = None, + preloads=None, xp=np, ): """ @@ -47,7 +47,6 @@ def mapper_from( MapperRectangularUniform, ) from autoarray.inversion.pixelization.mappers.delaunay import MapperDelaunay - from autoarray.inversion.pixelization.mappers.voronoi import MapperVoronoi if isinstance(mapper_grids.source_plane_mesh_grid, Mesh2DRectangularUniform): return MapperRectangularUniform( @@ -68,12 +67,6 @@ def mapper_from( mapper_grids=mapper_grids, border_relocator=border_relocator, regularization=regularization, - xp=xp, - ) - elif isinstance(mapper_grids.source_plane_mesh_grid, Mesh2DVoronoi): - return MapperVoronoi( - mapper_grids=mapper_grids, - border_relocator=border_relocator, - regularization=regularization, + preloads=preloads, xp=xp, ) diff --git a/autoarray/inversion/pixelization/mappers/mapper_numba_util.py b/autoarray/inversion/pixelization/mappers/mapper_numba_util.py index 916c813dd..896eb0c10 100644 --- a/autoarray/inversion/pixelization/mappers/mapper_numba_util.py +++ b/autoarray/inversion/pixelization/mappers/mapper_numba_util.py @@ -103,251 +103,3 @@ def data_slim_to_pixelization_unique_from( pix_lengths[ip] = pix_size return data_to_pix_unique, data_weights, pix_lengths - - -@numba_util.jit() -def pix_indexes_for_sub_slim_index_delaunay_from( - source_plane_data_grid, - simplex_index_for_sub_slim_index, - pix_indexes_for_simplex_index, - delaunay_points, -) -> Tuple[np.ndarray, np.ndarray]: - """ - The indexes mappings between the sub pixels and Voronoi mesh pixels. - For Delaunay tessellation, most sub pixels should have contribution of 3 pixelization pixels. However, - for those ones not belonging to any triangle, we link its value to its closest point. - - The returning result is a matrix of (len(sub_pixels, 3)) where the entries mark the relevant source pixel indexes. - A row like [A, -1, -1] means that sub pixel only links to source pixel A. - """ - - pix_indexes_for_sub_slim_index = -1 * np.ones( - shape=(source_plane_data_grid.shape[0], 3) - ) - - for i in range(len(source_plane_data_grid)): - simplex_index = simplex_index_for_sub_slim_index[i] - if simplex_index != -1: - pix_indexes_for_sub_slim_index[i] = pix_indexes_for_simplex_index[ - simplex_index_for_sub_slim_index[i] - ] - else: - pix_indexes_for_sub_slim_index[i][0] = np.argmin( - np.sum((delaunay_points - source_plane_data_grid[i]) ** 2.0, axis=1) - ) - - pix_indexes_for_sub_slim_index_sizes = np.sum( - pix_indexes_for_sub_slim_index >= 0, axis=1 - ) - - return pix_indexes_for_sub_slim_index, pix_indexes_for_sub_slim_index_sizes - - -@numba_util.jit() -def pixel_weights_delaunay_from( - source_plane_data_grid, - source_plane_mesh_grid, - slim_index_for_sub_slim_index: np.ndarray, - pix_indexes_for_sub_slim_index, -) -> np.ndarray: - """ - Returns the weights of the mappings between the masked sub-pixels and the Delaunay pixelization. - - Weights are determiend via a nearest neighbor interpolation scheme, whereby every data-sub pixel maps to three - Delaunay pixel vertexes (in the source frame). The weights of these 3 mappings depends on the distance of the - coordinate to each vertex, with the highest weight being its closest neighbor, - - Parameters - ---------- - source_plane_data_grid - A 2D grid of (y,x) coordinates associated with the unmasked 2D data after it has been transformed to the - `source` reference frame. - source_plane_mesh_grid - The 2D grid of (y,x) centres of every pixelization pixel in the `source` frame. - slim_index_for_sub_slim_index - The mappings between the data's sub slimmed indexes and the slimmed indexes on the non sub-sized indexes. - pix_indexes_for_sub_slim_index - The mappings from a data sub-pixel index to a pixelization pixel index. - """ - - pixel_weights = np.zeros(pix_indexes_for_sub_slim_index.shape) - - for sub_slim_index in range(slim_index_for_sub_slim_index.shape[0]): - pix_indexes = pix_indexes_for_sub_slim_index[sub_slim_index] - - if pix_indexes[1] != -1: - vertices_of_the_simplex = source_plane_mesh_grid[pix_indexes] - - sub_gird_coordinate_on_source_place = source_plane_data_grid[sub_slim_index] - - area_0 = mesh_numba_util.delaunay_triangle_area_from( - corner_0=vertices_of_the_simplex[1], - corner_1=vertices_of_the_simplex[2], - corner_2=sub_gird_coordinate_on_source_place, - ) - area_1 = mesh_numba_util.delaunay_triangle_area_from( - corner_0=vertices_of_the_simplex[0], - corner_1=vertices_of_the_simplex[2], - corner_2=sub_gird_coordinate_on_source_place, - ) - area_2 = mesh_numba_util.delaunay_triangle_area_from( - corner_0=vertices_of_the_simplex[0], - corner_1=vertices_of_the_simplex[1], - corner_2=sub_gird_coordinate_on_source_place, - ) - - norm = area_0 + area_1 + area_2 - - weight_abc = np.array([area_0, area_1, area_2]) / norm - - pixel_weights[sub_slim_index] = weight_abc - - else: - pixel_weights[sub_slim_index][0] = 1.0 - - return pixel_weights - - -@numba_util.jit() -def remove_bad_entries_voronoi_nn( - bad_indexes, - pix_weights_for_sub_slim_index, - pix_indexes_for_sub_slim_index, - grid, - mesh_grid, -): - """ - The nearest neighbor interpolation can return invalid or bad entries which are removed from the mapping arrays. The - current circumstances this arises are: - - 1) If a point is outside the whole Voronoi region, some weights have negative values. In this case, we reset its - neighbor to its closest neighbor. - - 2) The nearest neighbor interpolation code may not return even a single neighbor. We mark these as a bad grid by - settings their neighbors to the closest ones. - - Parameters - ---------- - bad_indexes - pix_weights_for_sub_slim_index - pix_indexes_for_sub_slim_index - grid - mesh_grid - - Returns - ------- - - """ - - for item in bad_indexes: - ind = item[0] - pix_indexes_for_sub_slim_index[ind] = -1 - pix_indexes_for_sub_slim_index[ind][0] = np.argmin( - np.sum((grid[ind] - mesh_grid) ** 2.0, axis=1) - ) - pix_weights_for_sub_slim_index[ind] = 0.0 - pix_weights_for_sub_slim_index[ind][0] = 1.0 - - return pix_weights_for_sub_slim_index, pix_indexes_for_sub_slim_index - - -def pix_size_weights_voronoi_nn_from( - grid: np.ndarray, mesh_grid: np.ndarray -) -> Tuple[np.ndarray, np.ndarray, np.ndarray]: - """ - Returns the mappings between a set of slimmed sub-grid pixels and pixelization pixels, using information on - how the pixels hosting each sub-pixel map to their closest pixelization pixel on the slim grid in the data-plane - and the pixelization's pixel centres. - - To determine the complete set of slim sub-pixel to pixelization pixel mappings, we must pair every sub-pixel to - its nearest pixel. Using a full nearest neighbor search to do this is slow, thus the pixel neighbors (derived via - the Voronoi grid) are used to localize each nearest neighbor search by using a graph search. - - Parameters - ---------- - grid - The grid of (y,x) scaled coordinates at the centre of every unmasked pixel, which has been traced to - to an irgrid via lens. - slim_index_for_sub_slim_index - The mappings between the data slimmed sub-pixels and their regular pixels. - mesh_grid - The (y,x) centre of every Voronoi pixel in arc-seconds. - neighbors - An array of length (voronoi_pixels) which provides the index of all neighbors of every pixel in - the Voronoi grid (entries of -1 correspond to no neighbor). - neighbors_sizes - An array of length (voronoi_pixels) which gives the number of neighbors of every pixel in the - Voronoi grid. - """ - - try: - from autoarray.util.nn import nn_py - except ImportError as e: - raise ImportError( - "In order to use the Voronoi pixelization you must install the " - "Natural Neighbor Interpolation c package.\n\n" - "" - "See: https://github.com/Jammy2211/PyAutoArray/tree/main/autoarray/util/nn" - ) from e - - max_nneighbours = conf.instance["general"]["pixelization"][ - "voronoi_nn_max_interpolation_neighbors" - ] - - ( - pix_weights_for_sub_slim_index, - pix_indexes_for_sub_slim_index, - ) = nn_py.natural_interpolation_weights( - x_in=mesh_grid[:, 1], - y_in=mesh_grid[:, 0], - x_target=grid[:, 1], - y_target=grid[:, 0], - max_nneighbours=max_nneighbours, - ) - - bad_indexes = np.argwhere(np.sum(pix_weights_for_sub_slim_index < 0.0, axis=1) > 0) - - ( - pix_weights_for_sub_slim_index, - pix_indexes_for_sub_slim_index, - ) = remove_bad_entries_voronoi_nn( - bad_indexes=bad_indexes, - pix_weights_for_sub_slim_index=pix_weights_for_sub_slim_index, - pix_indexes_for_sub_slim_index=pix_indexes_for_sub_slim_index, - grid=np.array(grid), - mesh_grid=np.array(mesh_grid), - ) - - bad_indexes = np.argwhere(pix_indexes_for_sub_slim_index[:, 0] == -1) - - ( - pix_weights_for_sub_slim_index, - pix_indexes_for_sub_slim_index, - ) = remove_bad_entries_voronoi_nn( - bad_indexes=bad_indexes, - pix_weights_for_sub_slim_index=pix_weights_for_sub_slim_index, - pix_indexes_for_sub_slim_index=pix_indexes_for_sub_slim_index, - grid=np.array(grid), - mesh_grid=np.array(mesh_grid), - ) - - pix_indexes_for_sub_slim_index_sizes = np.sum( - pix_indexes_for_sub_slim_index != -1, axis=1 - ) - - if np.max(pix_indexes_for_sub_slim_index_sizes) > max_nneighbours: - raise exc.MeshException( - f""" - The number of Voronoi natural neighbours interpolations in one or more pixelization pixel's - exceeds the maximum allowed: max_nneighbors = {max_nneighbours}. - - To fix this, increase the value of `voronoi_nn_max_interpolation_neighbors` in the [pixelization] - section of the `general.ini` config file. - """ - ) - - return ( - pix_indexes_for_sub_slim_index, - pix_indexes_for_sub_slim_index_sizes, - pix_weights_for_sub_slim_index, - ) diff --git a/autoarray/inversion/pixelization/mappers/rectangular.py b/autoarray/inversion/pixelization/mappers/rectangular.py index 8662ea38e..41fc5a065 100644 --- a/autoarray/inversion/pixelization/mappers/rectangular.py +++ b/autoarray/inversion/pixelization/mappers/rectangular.py @@ -94,9 +94,6 @@ def pix_sub_weights(self) -> PixSubWeights: dimension of the array `pix_indexes_for_sub_slim_index` 1 and all entries in `pix_weights_for_sub_slim_index` are equal to 1.0. """ - - weight_map = self.mapper_grids - mappings, weights = ( mapper_util.adaptive_rectangular_mappings_weights_via_interpolation_from( source_grid_size=self.shape_native[0], diff --git a/autoarray/inversion/pixelization/mappers/voronoi.py b/autoarray/inversion/pixelization/mappers/voronoi.py deleted file mode 100644 index 62b03afc2..000000000 --- a/autoarray/inversion/pixelization/mappers/voronoi.py +++ /dev/null @@ -1,176 +0,0 @@ -import numpy as np -from typing import Optional, Tuple - - -from autoconf import cached_property - -from autoarray.inversion.pixelization.mappers.abstract import AbstractMapper -from autoarray.inversion.pixelization.mappers.abstract import PixSubWeights -from autoarray.structures.arrays.uniform_2d import Array2D - -from autoarray.inversion.pixelization.mappers import mapper_numba_util - - -class MapperVoronoi(AbstractMapper): - """ - To understand a `Mapper` one must be familiar `Mesh` objects and the `mesh` and `pixelization` packages, where - the four grids grouped in a `MapperGrids` object are explained (`image_plane_data_grid`, `source_plane_data_grid`, - `image_plane_mesh_grid`,`source_plane_mesh_grid`) - - If you are unfamliar withe above objects, read through the docstrings of the `pixelization`, `mesh` and - `mapper_grids` packages. - - A `Mapper` determines the mappings between the masked data grid's pixels (`image_plane_data_grid` and - `source_plane_data_grid`) and the pxelization's pixels (`image_plane_mesh_grid` and `source_plane_mesh_grid`). - - The 1D Indexing of each grid is identical in the `data` and `source` frames (e.g. the transformation does not - change the indexing, such that `source_plane_data_grid[0]` corresponds to the transformed value - of `image_plane_data_grid[0]` and so on). - - A mapper therefore only needs to determine the index mappings between the `grid_slim` and `mesh_grid`, - noting that associations are made by pairing `source_plane_mesh_grid` with `source_plane_data_grid`. - - Mappings are represented in the 2D ndarray `pix_indexes_for_sub_slim_index`, whereby the index of - a pixel on the `mesh_grid` maps to the index of a pixel on the `grid_slim` as follows: - - - pix_indexes_for_sub_slim_index[0, 0] = 0: the data's 1st sub-pixel maps to the mesh's 1st pixel. - - pix_indexes_for_sub_slim_index[1, 0] = 3: the data's 2nd sub-pixel maps to the mesh's 4th pixel. - - pix_indexes_for_sub_slim_index[2, 0] = 1: the data's 3rd sub-pixel maps to the mesh's 2nd pixel. - - The second dimension of this array (where all three examples above are 0) is used for cases where a - single pixel on the `grid_slim` maps to multiple pixels on the `mesh_grid`. For example, using a - `Delaunay` mesh, where every `grid_slim` pixel maps to three Delaunay pixels (the corners of the - triangles): - - For a `Voronoi` mesh every pixel in the masked data maps to only one Voronoi pixel, thus the second - dimension of `pix_indexes_for_sub_slim_index` is always of size 1. - - The mapper allows us to create a mapping matrix, which is a matrix representing the mapping between every - unmasked data pixel annd the pixels of a mesh. This matrix is the basis of performing an `Inversion`, - which reconstructs the data using the `source_plane_mesh_grid`. - - Parameters - ---------- - mapper_grids - An object containing the data grid and mesh grid in both the data-frame and source-frame used by the - mapper to map data-points to linear object parameters. - regularization - The regularization scheme which may be applied to this linear object in order to smooth its solution, - which for a mapper smooths neighboring pixels on the mesh. - """ - - @property - def voronoi(self): - return self.source_plane_mesh_grid.voronoi - - @property - def pix_sub_weights_split_cross(self) -> PixSubWeights: - """ - The property `pix_sub_weights` property describes the calculation of the `PixSubWeights` object, which contains - numpy arrays describing how data-points and mapper pixels map to one another and the weights of these mappings. - - For certain regularization schemes (e.g. `ConstantSplit`, `AdaptiveBrightnessSplit`) regularization uses - mappings which are split in a cross configuration in order to factor in the derivative of the mapper - reconstruction. - - This property returns a unique set of `PixSubWeights` used for these regularization schemes which compute - mappings and weights at each point on the split cross. - """ - (mappings, sizes, weights) = mapper_numba_util.pix_size_weights_voronoi_nn_from( - grid=self.source_plane_mesh_grid.split_cross, - mesh_grid=np.array(self.source_plane_mesh_grid.array), - ) - - return PixSubWeights(mappings=mappings, sizes=sizes, weights=weights) - - @cached_property - def pix_sub_weights(self) -> PixSubWeights: - """ - Computes the following three quantities describing the mappings between of every sub-pixel in the masked data - and pixel in the `Voronoi` mesh. - - - `pix_indexes_for_sub_slim_index`: the mapping of every data pixel (given its `sub_slim_index`) - to mesh pixels (given their `pix_indexes`). - - - `pix_sizes_for_sub_slim_index`: the number of mappings of every data pixel to mesh pixels. - - - `pix_weights_for_sub_slim_index`: the interpolation weights of every data pixel's mesh - pixel mapping - - These are packaged into the class `PixSubWeights` with attributes `mappings`, `sizes` and `weights`. - - The `sub_slim_index` refers to the masked data sub-pixels and `pix_indexes` the mesh pixel indexes, - for example: - - - `pix_indexes_for_sub_slim_index[0, 0] = 2`: The data's first (index 0) sub-pixel maps to the RectangularMagnification - mesh's third (index 2) pixel. - - - `pix_indexes_for_sub_slim_index[2, 0] = 4`: The data's third (index 2) sub-pixel maps to the RectangularMagnification - mesh's fifth (index 4) pixel. - - The second dimension of the array `pix_indexes_for_sub_slim_index`, which is 0 in both examples above, is used - for cases where a data pixel maps to more than one mesh pixel. - - For a this Voronoi mesh a natural neighbor interpolation scheme is used to map each data pixel many - Voronoi pixels, for example: - - - `pix_indexes_for_sub_slim_index[0, 0] = 2`: The data's first (index 0) sub-pixel maps to the natural - neighbor of the Voronoi mesh's third (index 2) pixel. - - - `pix_indexes_for_sub_slim_index[0, 1] = 5`: The data's first (index 0) sub-pixel also maps to the natural - neighbor of the Voronoi mesh's sixth (index 5) pixel. - - - `pix_indexes_for_sub_slim_index[0, 2] = 8`: The data's first (index 0) sub-pixel also maps to the natural - neighbor of the Voronoi mesh's ninth (index 8) pixel. - - The interpolation weights of these multiple mappings are stored in the array `pix_weights_for_sub_slim_index`. - """ - - mappings, sizes, weights = mapper_numba_util.pix_size_weights_voronoi_nn_from( - grid=np.array(self.source_plane_data_grid.over_sampled), - mesh_grid=np.array(self.source_plane_mesh_grid.array), - ) - - mappings = mappings.astype("int") - sizes = sizes.astype("int") - - return PixSubWeights(mappings=mappings, sizes=sizes, weights=weights) - - def interpolated_array_from( - self, - values: np.ndarray, - shape_native: Tuple[int, int] = (401, 401), - extent: Optional[Tuple[float, float, float, float]] = None, - ) -> Array2D: - """ - The reconstructed values of a mapper (e.g. the `reconstruction` of an `Inversion` may be on an irregular - pixelization (e.g. a Delaunay triangulation, Voronoi mesh). - - Analysing the reconstruction can therefore be difficult and require specific functionality tailored to using - this irregular grid. - - This function offers a simple alternative is therefore to interpolate the irregular reconstruction on to a - regular grid of square pixels. The routine that performs the interpolation is specific to each pixelization - and contained `Grid2DMesh` object, which are called by this function. - - The output interpolated reconstruction is by default returned on a grid of 401 x 401 square pixels. This - can be customized by changing the `shape_native` input, and a rectangular grid with rectangular pixels can - be returned by instead inputting the optional `shape_scaled` tuple. - - Parameters - ---------- - values - The value corresponding to the reconstructed value of every pixelization pixel (e.g. Delaunay triangle - vertexes, Voronoi mesh cells). - shape_native - The 2D shape in pixels of the interpolated reconstruction, which is always returned using square pixels. - extent - The (x0, x1, y0, y1) extent of the grid in scaled coordinates over which the grid is created if it - is input. - """ - return self.source_plane_mesh_grid.interpolated_array_from( - values=np.array(values), - shape_native=shape_native, - extent=extent, - use_nn=True, - ) diff --git a/autoarray/inversion/pixelization/mesh/__init__.py b/autoarray/inversion/pixelization/mesh/__init__.py index 62a1a2370..690b80cd4 100644 --- a/autoarray/inversion/pixelization/mesh/__init__.py +++ b/autoarray/inversion/pixelization/mesh/__init__.py @@ -2,5 +2,4 @@ from .rectangular import RectangularMagnification from .rectangular import RectangularSource from .rectangular_uniform import RectangularUniform -from .voronoi import Voronoi from .delaunay import Delaunay diff --git a/autoarray/inversion/pixelization/mesh/abstract.py b/autoarray/inversion/pixelization/mesh/abstract.py index 7d57e9043..314b98bcb 100644 --- a/autoarray/inversion/pixelization/mesh/abstract.py +++ b/autoarray/inversion/pixelization/mesh/abstract.py @@ -82,7 +82,7 @@ def relocated_mesh_grid_from( A 2D grid of (y,x) coordinates associated with the unmasked 2D data after it has been transformed to the `source` reference frame. source_plane_mesh_grid - The centres of every Voronoi pixel in the `source` frame, which are initially derived by computing a sparse + The centres of every pixel in the `source` frame, which are initially derived by computing a sparse set of (y,x) coordinates computed from the unmasked data in the `data` frame and applying a transformation to this. """ diff --git a/autoarray/inversion/pixelization/mesh/delaunay.py b/autoarray/inversion/pixelization/mesh/delaunay.py index f6215f10f..603f3742b 100644 --- a/autoarray/inversion/pixelization/mesh/delaunay.py +++ b/autoarray/inversion/pixelization/mesh/delaunay.py @@ -1,10 +1,15 @@ import numpy as np +from typing import Optional +from autoarray.inversion.pixelization.mappers.mapper_grids import MapperGrids +from autoarray.inversion.pixelization.border_relocator import BorderRelocator +from autoarray.inversion.pixelization.mesh.abstract import AbstractMesh from autoarray.structures.mesh.delaunay_2d import Mesh2DDelaunay -from autoarray.inversion.pixelization.mesh.triangulation import Triangulation +from autoarray.structures.grids.uniform_2d import Grid2D +from autoarray.structures.grids.irregular_2d import Grid2DIrregular -class Delaunay(Triangulation): +class Delaunay(AbstractMesh): def __init__(self): """ An irregular mesh of Delaunay triangle pixels, which using linear barycentric interpolation are paired with @@ -35,6 +40,7 @@ def mesh_grid_from( self, source_plane_data_grid=None, source_plane_mesh_grid=None, + preloads=None, xp=np, ): """ @@ -56,4 +62,89 @@ def mesh_grid_from( return Mesh2DDelaunay( values=source_plane_mesh_grid, + source_plane_data_grid_over_sampled=source_plane_data_grid, + preloads=preloads, + _xp=xp, + ) + + def mapper_grids_from( + self, + mask, + source_plane_data_grid: Grid2D, + border_relocator: Optional[BorderRelocator] = None, + source_plane_mesh_grid: Optional[Grid2DIrregular] = None, + image_plane_mesh_grid: Optional[Grid2DIrregular] = None, + adapt_data: np.ndarray = None, + preloads=None, + xp=np, + ) -> MapperGrids: + """ + Mapper objects describe the mappings between pixels in the masked 2D data and the pixels in a mesh, + in both the `data` and `source` frames. + + This function returns a `MapperDelaunay` as follows: + + 1) Before this routine is called, a sparse grid of (y,x) coordinates are computed from the 2D masked data, + the `image_plane_mesh_grid`, which acts as the Delaunay triangle vertexes of the mesh and mapper. + + 2) Before this routine is called, operations are performed on this `image_plane_mesh_grid` that transform it + from a 2D grid which overlaps with the 2D mask of the data in the `data` frame to an irregular grid in + the `source` frame, the `source_plane_mesh_grid`. + + 3) If the border relocator is input, the border of the input `source_plane_data_grid` is used to relocate all of the + grid's (y,x) coordinates beyond the border to the edge of the border. + + 4) If the border relocatiro is input, the border of the input `source_plane_data_grid` is used to relocate all of the + transformed `source_plane_mesh_grid`'s (y,x) coordinates beyond the border to the edge of the border. + + 5) Use the transformed `source_plane_mesh_grid`'s (y,x) coordinates as the Vertex of the Delaunay mesh. + + Parameters + ---------- + border_relocator + The border relocator, which relocates coordinates outside the border of the source-plane data grid to its + edge. + source_plane_data_grid + A 2D grid of (y,x) coordinates associated with the unmasked 2D data after it has been transformed to the + `source` reference frame. + source_plane_mesh_grid + The vertex of every Delaunay triangle pixel in the `source` frame, which are initially derived by + computing a sparse set of (y,x) coordinates computed from the unmasked data in the `data` frame and + applying a transformation to this. + image_plane_mesh_grid + The sparse set of (y,x) coordinates computed from the unmasked data in the `data` frame. This has a + transformation applied to it to create the `source_plane_mesh_grid`. + adapt_data + Not used for a rectangular mesh. + """ + + relocated_grid = self.relocated_grid_from( + border_relocator=border_relocator, + source_plane_data_grid=source_plane_data_grid, + xp=xp, + ) + + relocated_mesh_grid = self.relocated_mesh_grid_from( + border_relocator=border_relocator, + source_plane_data_grid=relocated_grid.over_sampled, + source_plane_mesh_grid=source_plane_mesh_grid, + xp=xp, + ) + + try: + source_plane_mesh_grid = self.mesh_grid_from( + source_plane_data_grid=relocated_grid.over_sampled, + source_plane_mesh_grid=relocated_mesh_grid, + preloads=preloads, + xp=xp, + ) + except ValueError as e: + raise e + + return MapperGrids( + mask=mask, + source_plane_data_grid=relocated_grid, + source_plane_mesh_grid=source_plane_mesh_grid, + image_plane_mesh_grid=image_plane_mesh_grid, + adapt_data=adapt_data, ) diff --git a/autoarray/inversion/pixelization/mesh/mesh_numba_util.py b/autoarray/inversion/pixelization/mesh/mesh_numba_util.py index e3fc2232f..fca9cbc46 100644 --- a/autoarray/inversion/pixelization/mesh/mesh_numba_util.py +++ b/autoarray/inversion/pixelization/mesh/mesh_numba_util.py @@ -122,180 +122,3 @@ def delaunay_interpolated_array_from( interpolated_array[slim_index] = np.sum(weight_abc * triangle_values) return interpolated_array.reshape(shape_native) - - -@numba_util.jit() -def voronoi_neighbors_from( - pixels: int, ridge_points: np.ndarray -) -> Tuple[np.ndarray, np.ndarray]: - """ - Returns the adjacent neighbors of every pixel on a Voronoi mesh as an ndarray of shape - [total_pixels, voronoi_pixel_with_max_neighbors], using the `ridge_points` output from the `scipy.spatial.Voronoi()` - object. - - Entries with values of `-1` signify edge pixels which do not have neighbors. This function therefore also returns - an ndarray with the number of neighbors of every pixel, `neighbors_sizes`, which is iterated over when using - the `neighbors` ndarray. - - Indexing is defined in an arbritrary manner due to the irregular nature of a Voronoi mesh. - - For example, if `neighbors[0,:] = [1, 5, 36, 2, -1, -1]`, this informs us that the first Voronoi pixel has - 4 neighbors which have indexes 1, 5, 36, 2. Correspondingly `neighbors_sizes[0] = 4`. - - Parameters - ---------- - pixels - The number of pixels on the Voronoi mesh. - ridge_points - Contains the information on every Voronoi source pixel and its neighbors. - - Returns - ------- - The arrays containing the 1D index of every pixel's neighbors and the number of neighbors that each pixel has. - """ - neighbors_sizes = np.zeros(shape=(pixels)) - - for ridge_index in range(ridge_points.shape[0]): - pair0 = ridge_points[ridge_index, 0] - pair1 = ridge_points[ridge_index, 1] - neighbors_sizes[pair0] += 1 - neighbors_sizes[pair1] += 1 - - neighbors_index = np.zeros(shape=(pixels)) - neighbors = -1 * np.ones(shape=(pixels, int(np.max(neighbors_sizes)))) - - for ridge_index in range(ridge_points.shape[0]): - pair0 = ridge_points[ridge_index, 0] - pair1 = ridge_points[ridge_index, 1] - neighbors[pair0, int(neighbors_index[pair0])] = pair1 - neighbors[pair1, int(neighbors_index[pair1])] = pair0 - neighbors_index[pair0] += 1 - neighbors_index[pair1] += 1 - - return neighbors, neighbors_sizes - - -def voronoi_edge_pixels_from(regions: np.ndarray, point_region: np.ndarray) -> List: - """ - Returns the edge pixels of a Voronoi mesh, where the edge pixels are defined as those pixels which are on the - edge of the Voronoi diagram. - - Parameters - ---------- - regions - Indices of the Voronoi vertices forming each Voronoi region, where -1 indicates vertex outside the Voronoi - diagram. - """ - - voronoi_edge_pixel_list = [] - - for index, i in enumerate(point_region): - if -1 in regions[i]: - voronoi_edge_pixel_list.append(index) - - return voronoi_edge_pixel_list - - -def voronoi_revised_from( - voronoi: "scipy.spatial.Voronoi", -) -> Union[List[Tuple], np.ndarray]: - """ - To plot a Voronoi mesh using the `matplotlib.fill()` function a revised Voronoi mesh must be - computed, where 2D infinite voronoi regions are converted to finite 2D regions. - - This function returns a list of tuples containing the indices of the vertices of each revised Voronoi cell and - a list of tuples containing the revised Voronoi vertex vertices. - - Parameters - ---------- - voronoi - The input Voronoi diagram that is being plotted. - """ - - if voronoi.points.shape[1] != 2: - raise ValueError("Requires 2D input") - - region_list = [] - vertex_list = voronoi.vertices.tolist() - - center = voronoi.points.mean(axis=0) - radius = np.ptp(voronoi.points).max() * 2 - - # Construct a map containing all ridges for a given point - all_ridges = {} - for (p1, p2), (v1, v2) in zip(voronoi.ridge_points, voronoi.ridge_vertices): - all_ridges.setdefault(p1, []).append((p2, v1, v2)) - all_ridges.setdefault(p2, []).append((p1, v1, v2)) - - # Reconstruct infinite regions - for p1, region in enumerate(voronoi.point_region): - vertices = voronoi.regions[region] - - if all(v >= 0 for v in vertices): - # finite region - region_list.append(vertices) - continue - - # reconstruct a non-finite region - ridges = all_ridges[p1] - region = [v for v in vertices if v >= 0] - - for p2, v1, v2 in ridges: - if v2 < 0: - v1, v2 = v2, v1 - if v1 >= 0: - # finite ridge: already in the region - continue - - # Compute the missing endpoint of an infinite ridge - - t = voronoi.points[p2] - voronoi.points[p1] # tangent - t /= np.linalg.norm(t) - n = np.array([-t[1], t[0]]) - - midpoint = voronoi.points[[p1, p2]].mean(axis=0) - direction = np.sign(np.dot(midpoint - center, n)) * n - far_point = voronoi.vertices[v2] + direction * radius - - region.append(len(vertex_list)) - vertex_list.append(far_point.tolist()) - - # sort region counterclockwise - vs = np.asarray([vertex_list[v] for v in region]) - c = vs.mean(axis=0) - angles = np.arctan2(vs[:, 1] - c[1], vs[:, 0] - c[0]) - region = np.array(region)[np.argsort(angles)] - - # finish - region_list.append(region.tolist()) - - return region_list, np.asarray(vertex_list) - - -def voronoi_nn_interpolated_array_from( - shape_native: Tuple[int, int], - interpolation_grid_slim: np.ndarray, - pixel_values: np.ndarray, - voronoi: "scipy.spatial.Voronoi", -) -> np.ndarray: - try: - from autoarray.util.nn import nn_py - except ImportError as e: - raise ImportError( - "In order to use the Voronoi pixelization you must install the " - "Natural Neighbor Interpolation c package.\n\n" - "" - "See: https://github.com/Jammy2211/PyAutoArray/tree/main/autoarray/util/nn" - ) from e - - pixel_points = voronoi.points - - interpolated_array = nn_py.natural_interpolation( - pixel_points[:, 0], - pixel_points[:, 1], - pixel_values, - interpolation_grid_slim[:, 1], - interpolation_grid_slim[:, 0], - ) - - return interpolated_array.reshape(shape_native) diff --git a/autoarray/inversion/pixelization/mesh/rectangular.py b/autoarray/inversion/pixelization/mesh/rectangular.py index f753ccc78..225c2e168 100644 --- a/autoarray/inversion/pixelization/mesh/rectangular.py +++ b/autoarray/inversion/pixelization/mesh/rectangular.py @@ -73,6 +73,7 @@ def mapper_grids_from( source_plane_mesh_grid: Grid2D = None, image_plane_mesh_grid: Grid2D = None, adapt_data: np.ndarray = None, + preloads=None, xp=np, ) -> MapperGrids: """ diff --git a/autoarray/inversion/pixelization/mesh/triangulation.py b/autoarray/inversion/pixelization/mesh/triangulation.py deleted file mode 100644 index fcf14fa12..000000000 --- a/autoarray/inversion/pixelization/mesh/triangulation.py +++ /dev/null @@ -1,89 +0,0 @@ -import numpy as np -from typing import Dict, Optional - -from autoarray.structures.grids.uniform_2d import Grid2D -from autoarray.structures.grids.irregular_2d import Grid2DIrregular -from autoarray.inversion.pixelization.mappers.mapper_grids import MapperGrids -from autoarray.inversion.pixelization.mesh.abstract import AbstractMesh -from autoarray.inversion.pixelization.border_relocator import BorderRelocator - - -class Triangulation(AbstractMesh): - def mapper_grids_from( - self, - mask, - source_plane_data_grid: Grid2D, - border_relocator: Optional[BorderRelocator] = None, - source_plane_mesh_grid: Optional[Grid2DIrregular] = None, - image_plane_mesh_grid: Optional[Grid2DIrregular] = None, - adapt_data: np.ndarray = None, - xp=np, - ) -> MapperGrids: - """ - Mapper objects describe the mappings between pixels in the masked 2D data and the pixels in a mesh, - in both the `data` and `source` frames. - - This function returns a `MapperVoronoi` as follows: - - 1) Before this routine is called, a sparse grid of (y,x) coordinates are computed from the 2D masked data, - the `image_plane_mesh_grid`, which acts as the Voronoi pixel centres of the mesh and mapper. - - 2) Before this routine is called, operations are performed on this `image_plane_mesh_grid` that transform it - from a 2D grid which overlaps with the 2D mask of the data in the `data` frame to an irregular grid in - the `source` frame, the `source_plane_mesh_grid`. - - 3) If the border relocator is input, the border of the input `source_plane_data_grid` is used to relocate all of the - grid's (y,x) coordinates beyond the border to the edge of the border. - - 4) If the border relocatiro is input, the border of the input `source_plane_data_grid` is used to relocate all of the - transformed `source_plane_mesh_grid`'s (y,x) coordinates beyond the border to the edge of the border. - - 5) Use the transformed `source_plane_mesh_grid`'s (y,x) coordinates as the centres of the Voronoi mesh. - - 6) Return the `MapperVoronoi`. - - Parameters - ---------- - border_relocator - The border relocator, which relocates coordinates outside the border of the source-plane data grid to its - edge. - source_plane_data_grid - A 2D grid of (y,x) coordinates associated with the unmasked 2D data after it has been transformed to the - `source` reference frame. - source_plane_mesh_grid - The centres of every Voronoi pixel in the `source` frame, which are initially derived by computing a sparse - set of (y,x) coordinates computed from the unmasked data in the `data` frame and applying a transformation - to this. - image_plane_mesh_grid - The sparse set of (y,x) coordinates computed from the unmasked data in the `data` frame. This has a - transformation applied to it to create the `source_plane_mesh_grid`. - adapt_data - Not used for a rectangular mesh. - """ - - relocated_grid = self.relocated_grid_from( - border_relocator=border_relocator, - source_plane_data_grid=source_plane_data_grid, - ) - - relocated_mesh_grid = self.relocated_mesh_grid_from( - border_relocator=border_relocator, - source_plane_data_grid=relocated_grid.over_sampled, - source_plane_mesh_grid=source_plane_mesh_grid, - ) - - try: - source_plane_mesh_grid = self.mesh_grid_from( - source_plane_data_grid=relocated_grid.over_sampled, - source_plane_mesh_grid=relocated_mesh_grid, - ) - except ValueError as e: - raise e - - return MapperGrids( - mask=mask, - source_plane_data_grid=relocated_grid, - source_plane_mesh_grid=source_plane_mesh_grid, - image_plane_mesh_grid=image_plane_mesh_grid, - adapt_data=adapt_data, - ) diff --git a/autoarray/inversion/pixelization/mesh/voronoi.py b/autoarray/inversion/pixelization/mesh/voronoi.py deleted file mode 100644 index cf024a04a..000000000 --- a/autoarray/inversion/pixelization/mesh/voronoi.py +++ /dev/null @@ -1,60 +0,0 @@ -import numpy as np - -from autoarray.structures.mesh.voronoi_2d import Mesh2DVoronoi -from autoarray.inversion.pixelization.mesh.triangulation import Triangulation - - -class Voronoi(Triangulation): - def __init__(self): - """ - An irregular mesh of Voronoi pixels, which using natural neighbor interpolation are paired with a 2D - grid of (y,x) coordinates. - - For a full description of how a mesh is paired with another grid, - see the :meth:`Pixelization API documentation `. - - The Voronoi mesh represents pixels as an irregular 2D grid of Voronoi cells. - - A ``Pixelization`` using a ``Voronoi`` mesh has four grids associated with it: - - - ``image_plane_data_grid``: The observed data grid in the image-plane (which is paired with the mesh in - the source-plane). - - - ``image_plane_mesh_grid``: The (y,x) mesh coordinates in the image-plane (which are the centres of Voronoi - cells in the source-plane). - - - ``source_plane_data_grid``: The observed data grid mapped to the source-plane (e.g. after gravitational lensing). - - - ``source_plane_mesh_grid``: The centre of each Voronoi cell in the source-plane - (the ``image_plane_mesh_grid`` maps to this after gravitational lensing). - - Each (y,x) coordinate in the ``source_plane_data_grid`` is paired with all Voronoi cells it falls within, - using a natural neighbor interpolation scheme. - """ - super().__init__() - - def mesh_grid_from( - self, - source_plane_data_grid=None, - source_plane_mesh_grid=None, - xp=np, - ) -> Mesh2DVoronoi: - """ - Return the Voronoi `source_plane_mesh_grid` as a `Mesh2DVoronoi` object, which provides additional - functionality for performing operations that exploit the geometry of a Voronoi mesh. - - Parameters - ---------- - source_plane_data_grid - A 2D grid of (y,x) coordinates associated with the unmasked 2D data after it has been transformed to the - `source` reference frame. - source_plane_mesh_grid - The centres of every Voronoi pixel in the `source` frame, which are initially derived by computing a sparse - set of (y,x) coordinates computed from the unmasked data in the `data` frame and applying a transformation - to this. - settings - Settings controlling the pixelization for example if a border is used to relocate its exterior coordinates. - """ - return Mesh2DVoronoi( - values=source_plane_mesh_grid, - ) diff --git a/autoarray/inversion/pixelization/pixelization.py b/autoarray/inversion/pixelization/pixelization.py index 2898c7b8c..416429575 100644 --- a/autoarray/inversion/pixelization/pixelization.py +++ b/autoarray/inversion/pixelization/pixelization.py @@ -95,7 +95,7 @@ def __init__( - ``Regularization``: Apply smoothing to the solutions computed using an ``Inversion``. In the example above, a ``RectangularMagnification`` ``Mesh`` object is used. Other meshes are available (e.g. - ``Delaunay``, ``Voronoi``). + ``Delaunay``). **Source Code API** @@ -112,7 +112,7 @@ def __init__( Parameters ---------- mesh - The mesh object (e.g. RectangularMagnification grid of pixels, Delaunay triangulation, Voronoi mesh) describing the + The mesh object (e.g. RectangularMagnification grid of pixels, Delaunay triangulation) describing the pixels of the `Pixelization`. regularization The regularization object that can smooth ``Pixelization`` pixels with one another when it is used to diff --git a/autoarray/inversion/plot/inversion_plotters.py b/autoarray/inversion/plot/inversion_plotters.py index 506388609..1710c23cb 100644 --- a/autoarray/inversion/plot/inversion_plotters.py +++ b/autoarray/inversion/plot/inversion_plotters.py @@ -241,8 +241,6 @@ def figures_2d_of_pixelization( except TypeError: pass - # TODO : NEed to understand why this raises an error in voronoi_drawer. - if regularization_weights: try: mapper_plotter.plot_source_from( diff --git a/autoarray/inversion/plot/mapper_plotters.py b/autoarray/inversion/plot/mapper_plotters.py index 08b53a710..9f35bf037 100644 --- a/autoarray/inversion/plot/mapper_plotters.py +++ b/autoarray/inversion/plot/mapper_plotters.py @@ -56,7 +56,7 @@ def figure_2d( ---------- interpolate_to_uniform By default, the mesh's reconstruction is interpolated to a uniform 2D array for plotting. If the - reconstruction can be plotted in an alternative format (e.g. using Voronoi pixels for a Voronoi mesh) + reconstruction can be plotted in an alternative format (e.g. using a Delaunay mesh) settings `interpolate_to_uniform=False` plots the reconstruction using this. solution_vector A vector of values which can culor the pixels of the mapper's source pixels. @@ -96,7 +96,7 @@ def subplot_image_and_mapper( ---------- interpolate_to_uniform By default, the mesh's reconstruction is interpolated to a uniform 2D array for plotting. If the - reconstruction can be plotted in an alternative format (e.g. using Voronoi pixels for a Voronoi mesh) + reconstruction can be plotted in an alternative format (e.g. a Delaunay mesh) settings `interpolate_to_uniform=False` plots the reconstruction using this. image The image which is plotted on the subplot. diff --git a/autoarray/inversion/regularization/abstract.py b/autoarray/inversion/regularization/abstract.py index 6137d1b2c..02f5b8511 100644 --- a/autoarray/inversion/regularization/abstract.py +++ b/autoarray/inversion/regularization/abstract.py @@ -80,9 +80,9 @@ def __init__(self): Whilst the example above used a square-grid with regularization to the right and downwards, this matrix \ formalism can be extended to describe regularization in more directions (e.g. upwards, to the left). - It can also describe irpixelizations, e.g. an irVoronoi mesh, where a B matrix is \ - computed for every shared Voronoi vertex of each Voronoi pixel. The number of B matrices is now equal to the \ - number of Voronoi vertices in the pixel with the most Voronoi vertices. However, we describe below a scheme to \ + It can also describe irregular meshes, e.g. a Delaunay mesh, where a B matrix is \ + computed for every shared Delaunay vertex of each Delaunay pixel. The number of B matrices is now equal to the \ + number of Delaunay vertices in the pixel with the most Delaunay vertices. However, we describe below a scheme to \ compute this solution more efficiently. ### COMBINING B MATRICES ### @@ -101,7 +101,7 @@ def __init__(self): [ 0, 0, -1 , 1] # [2->3] [ 1, 0, 0 ,-1] # [3->0] This is valid! - So, for a Voronoi pixelzation, we don't have to make the same number of B matrices as Voronoi vertices, \ + So, for a Delaunay pixelzation, we don't have to make the same number of B matrices as Delaunay vertices, \ we can combine them into fewer B matrices as above. # SKIPPING THE B MATRIX CALCULATION # diff --git a/autoarray/inversion/regularization/adaptive_brightness.py b/autoarray/inversion/regularization/adaptive_brightness.py index 04c2ae488..089229e3a 100644 --- a/autoarray/inversion/regularization/adaptive_brightness.py +++ b/autoarray/inversion/regularization/adaptive_brightness.py @@ -72,7 +72,7 @@ def weighted_regularization_matrix_from( the mesh grid (entries of -1 correspond to no neighbor). neighbors_sizes An array of length (total_pixels) which gives the number of neighbors of every pixel in the - Voronoi grid. + Delaunay grid. Returns ------- @@ -136,7 +136,7 @@ def __init__( signal_scale: float = 1.0, ): """ - Regularization which uses the neighbors of the mesh (e.g. shared Voronoi vertexes) and values adaptred to the + Regularization which uses the neighbors of the mesh (e.g. shared Delaunay vertexes) and values adaptred to the data being fitted to smooth an inversion's solution. For the weighted regularization scheme, each pixel is given an 'effective regularization weight', which is diff --git a/autoarray/inversion/regularization/adaptive_brightness_split.py b/autoarray/inversion/regularization/adaptive_brightness_split.py index a126d0060..1e77762e1 100644 --- a/autoarray/inversion/regularization/adaptive_brightness_split.py +++ b/autoarray/inversion/regularization/adaptive_brightness_split.py @@ -25,7 +25,7 @@ def __init__( and interpolates to these points in order to smooth an inversion's solution. The size of this cross is determined via the size of the source-pixel, for example if the source pixel is a - Voronoi pixel the area of the pixel is computed and the distance of each point of the cross is given by + Delaunay pixel the area of the pixel is computed and the distance of each point of the cross is given by the area times 0.5. For the weighted regularization scheme, each pixel is given an 'effective regularization weight', which is @@ -94,16 +94,17 @@ def regularization_matrix_from(self, linear_obj: LinearObj, xp=np) -> np.ndarray linear_obj=linear_obj, xp=xp ) - pix_sub_weights_split_cross = linear_obj.pix_sub_weights_split_cross + pix_sub_weights_split_points = linear_obj.pix_sub_weights_split_points ( splitted_mappings, splitted_sizes, splitted_weights, ) = regularization_util.reg_split_from( - splitted_mappings=pix_sub_weights_split_cross.mappings, - splitted_sizes=pix_sub_weights_split_cross.sizes, - splitted_weights=pix_sub_weights_split_cross.weights, + splitted_mappings=pix_sub_weights_split_points.mappings, + splitted_sizes=pix_sub_weights_split_points.sizes, + splitted_weights=pix_sub_weights_split_points.weights, + xp=xp, ) return regularization_util.pixel_splitted_regularization_matrix_from( @@ -111,4 +112,5 @@ def regularization_matrix_from(self, linear_obj: LinearObj, xp=np) -> np.ndarray splitted_mappings=splitted_mappings, splitted_sizes=splitted_sizes, splitted_weights=splitted_weights, + xp=xp, ) diff --git a/autoarray/inversion/regularization/adaptive_brightness_split_zeroth.py b/autoarray/inversion/regularization/adaptive_brightness_split_zeroth.py index fc6cb16e4..e4deb290b 100644 --- a/autoarray/inversion/regularization/adaptive_brightness_split_zeroth.py +++ b/autoarray/inversion/regularization/adaptive_brightness_split_zeroth.py @@ -24,7 +24,7 @@ def __init__( pixel centre and values adapted to the data being fitted to smooth an inversion's solution. The size of this cross is determined via the size of the source-pixel, for example if the source pixel is a - Voronoi pixel the area of the pixel is computed and the distance of each point of the cross is given by + Delaunay pixel the area of the pixel is computed and the distance of each point of the cross is given by the area times 0.5. For the weighted regularization scheme, each pixel is given an 'effective regularization weight', which is @@ -96,16 +96,17 @@ def regularization_matrix_from(self, linear_obj: LinearObj, xp=np) -> np.ndarray linear_obj=linear_obj, xp=xp ) - pix_sub_weights_split_cross = linear_obj.pix_sub_weights_split_cross + pix_sub_weights_split_points = linear_obj.pix_sub_weights_split_points ( splitted_mappings, splitted_sizes, splitted_weights, ) = regularization_util.reg_split_from( - splitted_mappings=pix_sub_weights_split_cross.mappings, - splitted_sizes=pix_sub_weights_split_cross.sizes, - splitted_weights=pix_sub_weights_split_cross.weights, + splitted_mappings=pix_sub_weights_split_points.mappings, + splitted_sizes=pix_sub_weights_split_points.sizes, + splitted_weights=pix_sub_weights_split_points.weights, + xp=xp, ) regularization_matrix = ( @@ -114,6 +115,7 @@ def regularization_matrix_from(self, linear_obj: LinearObj, xp=np) -> np.ndarray splitted_mappings=splitted_mappings, splitted_sizes=splitted_sizes, splitted_weights=splitted_weights, + xp=xp, ) ) diff --git a/autoarray/inversion/regularization/constant.py b/autoarray/inversion/regularization/constant.py index 7685e41f0..f8dcc77bc 100644 --- a/autoarray/inversion/regularization/constant.py +++ b/autoarray/inversion/regularization/constant.py @@ -26,10 +26,10 @@ class in the module `autoarray.inversion.regularization`. The regularization coefficients which controls the degree of smoothing of the inversion reconstruction. neighbors : ndarray, shape (S, P), dtype=int64 An array of length (total_pixels) which provides the index of all neighbors of every pixel in - the Voronoi grid (entries of -1 correspond to no neighbor). + the Delaunay grid (entries of -1 correspond to no neighbor). neighbors_sizes : ndarray, shape (S,), dtype=int64 An array of length (total_pixels) which gives the number of neighbors of every pixel in the - Voronoi grid. + Delaunay grid. Returns ------- @@ -71,7 +71,7 @@ class in the module `autoarray.inversion.regularization`. class Constant(AbstractRegularization): def __init__(self, coefficient: float = 1.0): """ - Regularization which uses the neighbors of the mesh (e.g. shared Voronoi vertexes) and + Regularization which uses the neighbors of the mesh (e.g. shared Delaunay vertexes) and a single value to smooth an inversion's solution. For this regularization scheme, there is only 1 regularization coefficient that is applied to diff --git a/autoarray/inversion/regularization/constant_split.py b/autoarray/inversion/regularization/constant_split.py index 99fb04148..03cd5c9d4 100644 --- a/autoarray/inversion/regularization/constant_split.py +++ b/autoarray/inversion/regularization/constant_split.py @@ -17,7 +17,7 @@ def __init__(self, coefficient: float = 1.0): value to smooth an inversion's solution. The size of this cross is determined via the size of the source-pixel, for example if the source pixel is a - Voronoi pixel the area of the pixel is computed and the distance of each point of the cross is given by + Delaunay pixel the area of the pixel is computed and the distance of each point of the cross is given by the area times 0.5. For this regularization scheme, there is only 1 regularization coefficient that is applied to @@ -56,24 +56,26 @@ def regularization_matrix_from(self, linear_obj: LinearObj, xp=np) -> np.ndarray ------- The regularization matrix. """ - pix_sub_weights_split_cross = linear_obj.pix_sub_weights_split_cross + pix_sub_weights_split_points = linear_obj.pix_sub_weights_split_points ( splitted_mappings, splitted_sizes, splitted_weights, ) = regularization_util.reg_split_from( - splitted_mappings=pix_sub_weights_split_cross.mappings, - splitted_sizes=pix_sub_weights_split_cross.sizes, - splitted_weights=pix_sub_weights_split_cross.weights, + splitted_mappings=pix_sub_weights_split_points.mappings, + splitted_sizes=pix_sub_weights_split_points.sizes, + splitted_weights=pix_sub_weights_split_points.weights, + xp=xp, ) pixels = int(len(splitted_mappings) / 4) - regularization_weights = np.full(fill_value=self.coefficient, shape=(pixels,)) + regularization_weights = xp.full(fill_value=self.coefficient, shape=(pixels,)) return regularization_util.pixel_splitted_regularization_matrix_from( regularization_weights=regularization_weights, splitted_mappings=splitted_mappings, splitted_sizes=splitted_sizes, splitted_weights=splitted_weights, + xp=xp, ) diff --git a/autoarray/inversion/regularization/constant_zeroth.py b/autoarray/inversion/regularization/constant_zeroth.py index 886f90ae1..4d58a8534 100644 --- a/autoarray/inversion/regularization/constant_zeroth.py +++ b/autoarray/inversion/regularization/constant_zeroth.py @@ -27,10 +27,10 @@ class in the module ``autoarray.inversion.regularization``. The regularization coefficients which controls the degree of smoothing of the inversion reconstruction. neighbors An array of length (total_pixels) which provides the index of all neighbors of every pixel in - the Voronoi grid (entries of -1 correspond to no neighbor). + the Delaunay grid (entries of -1 correspond to no neighbor). neighbors_sizes An array of length (total_pixels) which gives the number of neighbors of every pixel in the - Voronoi grid. + Delaunay grid. Returns ------- diff --git a/autoarray/inversion/regularization/exponential_kernel.py b/autoarray/inversion/regularization/exponential_kernel.py index cdc0412da..bd188dd5f 100644 --- a/autoarray/inversion/regularization/exponential_kernel.py +++ b/autoarray/inversion/regularization/exponential_kernel.py @@ -54,7 +54,7 @@ def __init__(self, coefficient: float = 1.0, scale: float = 1.0): Regularization which uses an Exponential smoothing kernel to regularize the solution. For this regularization scheme, every pixel is regularized with every other pixel. This contrasts many other - schemes, where regularization is based on neighboring (e.g. do the pixels share a Voronoi edge?) or computing + schemes, where regularization is based on neighboring (e.g. do the pixels share a Delaunay edge?) or computing derivates around the center of the pixel (where nearby pixels are regularization locally in similar ways). This makes the regularization matrix fully dense and therefore maybe change the run times of the solution. diff --git a/autoarray/inversion/regularization/gaussian_kernel.py b/autoarray/inversion/regularization/gaussian_kernel.py index 344e24e5b..8dc2574b1 100644 --- a/autoarray/inversion/regularization/gaussian_kernel.py +++ b/autoarray/inversion/regularization/gaussian_kernel.py @@ -54,7 +54,7 @@ def __init__(self, coefficient: float = 1.0, scale: float = 1.0): Regularization which uses a Gaussian smoothing kernel to regularize the solution. For this regularization scheme, every pixel is regularized with every other pixel. This contrasts many other - schemes, where regularization is based on neighboring (e.g. do the pixels share a Voronoi edge?) or computing + schemes, where regularization is based on neighboring (e.g. do the pixels share a Delaunay edge?) or computing derivates around the center of the pixel (where nearby pixels are regularization locally in similar ways). This makes the regularization matrix fully dense and therefore maybe change the run times of the solution. diff --git a/autoarray/inversion/regularization/matern_kernel.py b/autoarray/inversion/regularization/matern_kernel.py index 12160a80d..5684a8024 100644 --- a/autoarray/inversion/regularization/matern_kernel.py +++ b/autoarray/inversion/regularization/matern_kernel.py @@ -110,7 +110,7 @@ def __init__(self, coefficient: float = 1.0, scale: float = 1.0, nu: float = 0.5 Regularization which uses a Matern smoothing kernel to regularize the solution. For this regularization scheme, every pixel is regularized with every other pixel. This contrasts many other - schemes, where regularization is based on neighboring (e.g. do the pixels share a Voronoi edge?) or computing + schemes, where regularization is based on neighboring (e.g. do the pixels share a Delaunay edge?) or computing derivates around the center of the pixel (where nearby pixels are regularization locally in similar ways). This makes the regularization matrix fully dense and therefore maybe change the run times of the solution. diff --git a/autoarray/inversion/regularization/regularization_util.py b/autoarray/inversion/regularization/regularization_util.py index 8cedca034..e0e266f28 100644 --- a/autoarray/inversion/regularization/regularization_util.py +++ b/autoarray/inversion/regularization/regularization_util.py @@ -27,7 +27,7 @@ from autoarray.inversion.regularization.zeroth import zeroth_regularization_matrix_from -def reg_split_from( +def reg_split_np_from( splitted_mappings: np.ndarray, splitted_sizes: np.ndarray, splitted_weights: np.ndarray, @@ -40,12 +40,12 @@ def reg_split_from( This function takes each cross of points and determines the regularization weights of every point on the cross, to construct a regulariaztion matrix based on the gradient of each pixel. - The size of each cross depends on the Voronoi pixel area, thus this regularization scheme and its weights depend + The size of each cross depends on the Delaunay pixel area, thus this regularization scheme and its weights depend on the pixel area (there are larger weights for bigger pixels). This ensures that bigger pixels are regularized more. The number of pixel neighbors over which regularization is 4 * the total number of source pixels. This contrasts - other regularization schemes, where the number of neighbors changes depending on, for example, the Voronoi mesh + other regularization schemes, where the number of neighbors changes depending on, for example, the Delaunay mesh geometry. By having a fixed number of neighbors this removes stochasticty in the regularization that is applied to a solution. @@ -62,12 +62,10 @@ def reg_split_from( ------- """ - - max_j = np.shape(splitted_weights)[1] - 1 - splitted_weights *= -1.0 for i in range(len(splitted_mappings)): + pixel_index = i // 4 flag = 0 @@ -77,11 +75,6 @@ def reg_split_from( splitted_weights[i][j] += 1.0 flag = 1 - if j >= max_j: - raise exc.MeshException( - f"The number of Voronoi natural neighbours exceeds {max_j}." - ) - if flag == 0: splitted_mappings[i][j + 1] = pixel_index splitted_sizes[i] += 1 @@ -90,19 +83,164 @@ def reg_split_from( return splitted_mappings, splitted_sizes, splitted_weights -def pixel_splitted_regularization_matrix_from( +def reg_split_from( + splitted_mappings: np.ndarray, + splitted_sizes: np.ndarray, + splitted_weights: np.ndarray, + xp=np, +) -> Tuple[np.ndarray, np.ndarray, np.ndarray]: + """ + When creating the regularization matrix of a source pixelization, this function assumes each source pixel has been + split into a cross of four points (the size of which is based on the area of the source pixel). This cross of + points represents points which together can evaluate the gradient of the pixelization's reconstructed values. + + This function takes each cross of points and determines the regularization weights of every point on the cross, + to construct a regulariaztion matrix based on the gradient of each pixel. + + The size of each cross depends on the Delaunay pixel area, thus this regularization scheme and its weights depend + on the pixel area (there are larger weights for bigger pixels). This ensures that bigger pixels are regularized + more. + + The number of pixel neighbors over which regularization is 4 * the total number of source pixels. This contrasts + other regularization schemes, where the number of neighbors changes depending on, for example, the Delaunay mesh + geometry. By having a fixed number of neighbors this removes stochasticty in the regularization that is applied + to a solution. + + There are cases where a grid has over 100 neighbors, corresponding to very coordinate transformations. In such + extreme cases, we raise a `exc.FitException`. + + Parameters + ---------- + splitted_mappings + splitted_sizes + splitted_weights + + Returns + ------- + + """ + if xp == np: + return reg_split_np_from( + splitted_mappings=splitted_mappings, + splitted_sizes=splitted_sizes, + splitted_weights=splitted_weights, + ) + + import jax.numpy as jnp + import jax.nn as jnn + + mappings = jnp.asarray(splitted_mappings) + sizes = jnp.asarray(splitted_sizes) + weights = jnp.asarray(splitted_weights) + + N, K = mappings.shape + + # ------------------------------------------------------------- + # 1. Negate all weights (same as Python: splitted_weights *= -1) + # ------------------------------------------------------------- + weights = -weights + + # ------------------------------------------------------------- + # 2. Pixel index for each row: i // 4 + # ------------------------------------------------------------- + pixel_index = (jnp.arange(N) // 4).astype(mappings.dtype) # (N,) + pix_b = pixel_index[:, None] # (N,1) + + # ------------------------------------------------------------- + # 3. Mask of valid columns j < size[i] + # ------------------------------------------------------------- + cols = jnp.arange(K)[None, :] # (1,4) + valid_mask = cols < sizes[:, None] # (N,4) + + # ------------------------------------------------------------- + # 4. Self match: mapping[i,j] == pixel_index AND j is valid + # ------------------------------------------------------------- + self_mask = (mappings == pix_b) & valid_mask # (N,4) + row_has_self = jnp.any(self_mask, axis=1) # (N,) + + # Position of self per row + self_pos = jnp.argmax(self_mask, axis=1) # (N,) + + # ------------------------------------------------------------- + # 5. Add +1 weight at self_pos where row_has_self == True + # ------------------------------------------------------------- + one_hot = jnn.one_hot(self_pos, K, dtype=weights.dtype) # (N,4) + weights = weights + one_hot * row_has_self[:, None] + + # ------------------------------------------------------------- + # 6. Handle rows where pixel_index must be inserted + # ------------------------------------------------------------- + no_self = ~row_has_self + + # Insert position = sizes[i] + insert_pos = sizes # (N,) + insert_mask = no_self[:, None] & (cols == sizes[:, None]) + + # New mappings and weights + mappings = jnp.where(insert_mask, pix_b, mappings) + weights = jnp.where(insert_mask, jnp.array(1.0, weights.dtype), weights) + + # Updated sizes: +1 if no self detected + sizes_new = sizes + no_self.astype(sizes.dtype) + + return mappings, sizes_new, weights + + +def pixel_splitted_regularization_matrix_np_from( regularization_weights: np.ndarray, splitted_mappings: np.ndarray, splitted_sizes: np.ndarray, splitted_weights: np.ndarray, ) -> np.ndarray: + # I'm not sure what is the best way to add surface brightness weight to the regularization scheme here. + # Currently, I simply mulitply the i-th weight to the i-th source pixel, but there should be different ways. + # Need to keep an eye here. + + parameters = int(len(splitted_mappings) / 4) + + regularization_matrix = np.zeros(shape=(parameters, parameters)) + + regularization_weight = regularization_weights**2.0 + + for i in range(parameters): + regularization_matrix[i, i] += 2e-8 + + for j in range(4): + k = i * 4 + j + + size = splitted_sizes[k] + mapping = splitted_mappings[k] + weight = splitted_weights[k] + + for l in range(size): + for m in range(size - l): + regularization_matrix[mapping[l], mapping[l + m]] += ( + weight[l] * weight[l + m] * regularization_weight[i] + ) + regularization_matrix[mapping[l + m], mapping[l]] += ( + weight[l] * weight[l + m] * regularization_weight[i] + ) + + for i in range(parameters): + regularization_matrix[i, i] /= 2.0 + + return regularization_matrix + + +def pixel_splitted_regularization_matrix_from( + regularization_weights: np.ndarray, # (P,) + splitted_mappings: np.ndarray, # (4P, 4) + splitted_sizes: np.ndarray, # (4P,) + splitted_weights: np.ndarray, # (4P, 4) + xp=np, +): """ Returns the regularization matrix for the adaptive split-pixel regularization scheme. This scheme splits each source pixel into a cross of four regularization points and interpolates to those points to smooth the inversion solution. It is designed to mitigate stochasticity in the regularization that can arise when the number of neighboring pixels varies across a - mesh (e.g., in a Voronoi tessellation). + mesh (e.g., in a Delaunay tessellation). A visual description and further details are provided in the appendix of He et al. (2024): https://arxiv.org/abs/2403.16253 @@ -125,25 +263,53 @@ def pixel_splitted_regularization_matrix_from( The regularization matrix of shape [source_pixels, source_pixels]. """ - parameters = splitted_mappings.shape[0] // 4 - regularization_matrix = np.zeros((parameters, parameters)) - regularization_weight = regularization_weights**2.0 + if xp == np: + return pixel_splitted_regularization_matrix_np_from( + regularization_weights=regularization_weights, + splitted_mappings=splitted_mappings, + splitted_sizes=splitted_sizes, + splitted_weights=splitted_weights, + ) - # Add small constant to diagonal - np.fill_diagonal(regularization_matrix, 2e-8) + import jax.numpy as jnp - # Compute regularization contributions - for i in range(parameters): - reg_w = regularization_weight[i] - for j in range(4): - k = i * 4 + j - size = splitted_sizes[k] - mapping = splitted_mappings[k][:size] - weight = splitted_weights[k][:size] + # How many real pixels? + P = splitted_mappings.shape[0] // 4 - # Outer product of weights and symmetric updates - outer = np.outer(weight, weight) * reg_w - rows, cols = np.meshgrid(mapping, mapping, indexing="ij") - regularization_matrix[rows, cols] += outer + # Square, positive regularization weights + reg_w = regularization_weights**2.0 # (P,) - return regularization_matrix + # Add diagonal jitter (2e-8) + reg_mat = jnp.eye(P) * 2e-8 # (P, P) + + # ----- Build all 4P contributions at once ----- + + # Mask away padded entries (where mapping = -1) + valid = splitted_mappings != -1 # (4P, 4) + + # Extract valid mapping rows and weights + # BUT keep fixed shape (4) and just zero out invalid ones + map_fixed = jnp.where(valid, splitted_mappings, 0) # (4P, 4) + w_fixed = jnp.where(valid, splitted_weights, 0.0) # (4P, 4) + + # Compute all outer products of weights + # w_fixed[:, :, None] * w_fixed[:, None, :] → (4P, 4, 4) + outer = w_fixed[:, :, None] * w_fixed[:, None, :] # (4P, 4, 4) + + # Build corresponding row and col index grids + rows = map_fixed[:, :, None] # (4P, 4, 1) + cols = map_fixed[:, None, :] # (4P, 1, 4) + + # Multiply each 4x4 block by its pixel’s regularization weight + # Rows 0–3 belong to pixel 0, rows 4–7 to pixel 1, etc. + pixel_index = jnp.arange(4 * P) // 4 # (4P,) + block_scale = reg_w[pixel_index] # (4P,) + outer_scaled = outer * block_scale[:, None, None] + + # Now scatter-add all entries into the (P,P) matrix + reg_mat = reg_mat.at[rows, cols].add(outer_scaled) + + # Divide diagonal by 2 + reg_mat = reg_mat.at[jnp.diag_indices(reg_mat.shape[0])].add(-1e-8) + + return reg_mat diff --git a/autoarray/plot/__init__.py b/autoarray/plot/__init__.py index c45d31702..39693d1eb 100644 --- a/autoarray/plot/__init__.py +++ b/autoarray/plot/__init__.py @@ -32,7 +32,6 @@ InterpolatedReconstruction, ) from autoarray.plot.wrap.two_d.delaunay_drawer import DelaunayDrawer -from autoarray.plot.wrap.two_d.voronoi_drawer import VoronoiDrawer from autoarray.plot.wrap.two_d.origin_scatter import OriginScatter from autoarray.plot.wrap.two_d.mask_scatter import MaskScatter from autoarray.plot.wrap.two_d.border_scatter import BorderScatter diff --git a/autoarray/plot/mat_plot/two_d.py b/autoarray/plot/mat_plot/two_d.py index 27ba81b5f..4c5246f95 100644 --- a/autoarray/plot/mat_plot/two_d.py +++ b/autoarray/plot/mat_plot/two_d.py @@ -8,7 +8,6 @@ MapperRectangular, ) from autoarray.inversion.pixelization.mappers.delaunay import MapperDelaunay -from autoarray.inversion.pixelization.mappers.voronoi import MapperVoronoi from autoarray.mask.derive.zoom_2d import Zoom2D from autoarray.plot.mat_plot.abstract import AbstractMatPlot from autoarray.plot.auto_labels import AutoLabels @@ -52,7 +51,6 @@ def __init__( patch_overlay: Optional[w2d.PatchOverlay] = None, interpolated_reconstruction: Optional[w2d.InterpolatedReconstruction] = None, delaunay_drawer: Optional[w2d.DelaunayDrawer] = None, - voronoi_drawer: Optional[w2d.VoronoiDrawer] = None, origin_scatter: Optional[w2d.OriginScatter] = None, mask_scatter: Optional[w2d.MaskScatter] = None, border_scatter: Optional[w2d.BorderScatter] = None, @@ -81,7 +79,6 @@ def __init__( - `Line`: using `plt.plot`, `plt.semilogy`, `plt.loglog` or `plt.scatter`. - `VectorField`: using `plt.quiver`. - `RectangularMapper`: using `plt.imshow`. - - `MapperVoronoi`: using `plt.fill`. Parameters ---------- @@ -138,8 +135,6 @@ def __init__( Overlays matplotlib `patches.Patch` objects over the figure, such as an `Ellipse`. delaunay_drawer Draws a colored Delaunay mesh of pixels using `plt.tripcolor`. - voronoi_drawer - Draws a colored Voronoi mesh of pixels using `plt.fill`. interpolated_reconstruction Draws a colored Delaunay mesh of pixels using `plt.fill`. origin_scatter @@ -200,7 +195,6 @@ def __init__( or w2d.InterpolatedReconstruction(is_default=True) ) self.delaunay_drawer = delaunay_drawer or w2d.DelaunayDrawer(is_default=True) - self.voronoi_drawer = voronoi_drawer or w2d.VoronoiDrawer(is_default=True) self.origin_scatter = origin_scatter or w2d.OriginScatter(is_default=True) self.mask_scatter = mask_scatter or w2d.MaskScatter(is_default=True) @@ -521,15 +515,6 @@ def plot_mapper( pixel_values=pixel_values, zoom_to_brightest=zoom_to_brightest, ) - else: - self._plot_voronoi_mapper( - mapper=mapper, - visuals_2d=visuals_2d, - auto_labels=auto_labels, - interpolate_to_uniform=interpolate_to_uniform, - pixel_values=pixel_values, - zoom_to_brightest=zoom_to_brightest, - ) def _plot_rectangular_mapper( self, @@ -725,93 +710,17 @@ def _plot_delaunay_mapper( ) else: - self.delaunay_drawer.draw_delaunay_pixels( - mapper=mapper, - pixel_values=pixel_values, - units=self.units, - cmap=self.cmap, - colorbar=self.colorbar, - colorbar_tickparams=self.colorbar_tickparams, - ax=ax, - use_log10=self.use_log10, - ) - self.title.set(auto_title=auto_labels.title) - self.ylabel.set() - self.xlabel.set() + if hasattr(pixel_values, "array"): + pixel_values = pixel_values.array - visuals_2d.plot_via_plotter( - plotter=self, grid_indexes=mapper.source_plane_data_grid.over_sampled - ) - - if not self.is_for_subplot: - self.output.to_figure( - structure=interpolation_array, auto_filename=auto_labels.filename - ) - self.figure.close() - - def _plot_voronoi_mapper( - self, - mapper: MapperVoronoi, - visuals_2d: Visuals2D, - auto_labels: AutoLabels, - interpolate_to_uniform: bool = False, - pixel_values: np.ndarray = Optional[None], - zoom_to_brightest: bool = True, - ): - extent = self.axis.config_dict.get("extent") - - if extent is None: - extent = mapper.extent_from( - values=pixel_values, zoom_to_brightest=zoom_to_brightest - ) - - aspect_inv = self.figure.aspect_for_subplot_from(extent=extent) - - if not self.is_for_subplot: - fig, ax = self.figure.open() - else: - ax = self.setup_subplot(aspect=aspect_inv) - - self.axis.set(extent=extent, grid=mapper.source_plane_mesh_grid) - - plt.gca().set_aspect(aspect_inv) - - self.tickparams.set() - self.yticks.set(min_value=extent[2], max_value=extent[3], units=self.units) - self.xticks.set(min_value=extent[0], max_value=extent[1], units=self.units) - - if not isinstance(self.text, list): - self.text.set() - else: - [text.set() for text in self.text] - - if not isinstance(self.annotate, list): - self.annotate.set() - else: - [annotate.set() for annotate in self.annotate] - - if not interpolate_to_uniform: - self.voronoi_drawer.draw_voronoi_pixels( - mapper=mapper, - units=self.units, - pixel_values=pixel_values, - cmap=self.cmap, - colorbar=self.colorbar, - colorbar_tickparams=self.colorbar_tickparams, - ax=ax, - use_log10=self.use_log10, - ) - - else: - self.interpolated_reconstruction.imshow_reconstruction( + self.delaunay_drawer.draw_delaunay_pixels( mapper=mapper, pixel_values=pixel_values, units=self.units, cmap=self.cmap, colorbar=self.colorbar, colorbar_tickparams=self.colorbar_tickparams, - aspect=aspect_inv, ax=ax, use_log10=self.use_log10, ) @@ -824,11 +733,6 @@ def _plot_voronoi_mapper( plotter=self, grid_indexes=mapper.source_plane_data_grid.over_sampled ) - if pixel_values is not None: - interpolation_array = mapper.interpolated_array_from(values=pixel_values) - else: - interpolation_array = None - if not self.is_for_subplot: self.output.to_figure( structure=interpolation_array, auto_filename=auto_labels.filename diff --git a/autoarray/plot/wrap/__init__.py b/autoarray/plot/wrap/__init__.py index 4d9916083..6166ddebc 100644 --- a/autoarray/plot/wrap/__init__.py +++ b/autoarray/plot/wrap/__init__.py @@ -28,7 +28,6 @@ from autoarray.plot.wrap.two_d.interpolated_reconstruction import ( InterpolatedReconstruction, ) -from autoarray.plot.wrap.two_d.voronoi_drawer import VoronoiDrawer from autoarray.plot.wrap.two_d.origin_scatter import OriginScatter from autoarray.plot.wrap.two_d.mask_scatter import MaskScatter from autoarray.plot.wrap.two_d.border_scatter import BorderScatter diff --git a/autoarray/plot/wrap/base/colorbar.py b/autoarray/plot/wrap/base/colorbar.py index 71a8a174e..f5d24f5f3 100644 --- a/autoarray/plot/wrap/base/colorbar.py +++ b/autoarray/plot/wrap/base/colorbar.py @@ -171,7 +171,7 @@ def set_with_color_values( """ Set the figure's colorbar using an array of already known color values. - This method is used for producing the color bar on a Voronoi mesh plot, which is unable to use the in-built + This method is used for producing the color bar on a Delaunay mesh plot, which is unable to use the in-built Matplotlib colorbar method. Parameters @@ -180,7 +180,7 @@ def set_with_color_values( The colormap used to map normalized data values to RGBA colors (see https://matplotlib.org/3.3.2/api/cm_api.html). color_values - The values of the pixels on the Voronoi mesh which are used to create the colorbar. + The values of the pixels on the mesh which are used to create the colorbar. """ import matplotlib.pyplot as plt import matplotlib.cm as cm diff --git a/autoarray/plot/wrap/two_d/__init__.py b/autoarray/plot/wrap/two_d/__init__.py index 5b438f4f8..f4bb5e1ab 100644 --- a/autoarray/plot/wrap/two_d/__init__.py +++ b/autoarray/plot/wrap/two_d/__init__.py @@ -10,7 +10,6 @@ InterpolatedReconstruction, ) from .delaunay_drawer import DelaunayDrawer -from .voronoi_drawer import VoronoiDrawer from .origin_scatter import OriginScatter from .mask_scatter import MaskScatter from .border_scatter import BorderScatter diff --git a/autoarray/plot/wrap/two_d/delaunay_drawer.py b/autoarray/plot/wrap/two_d/delaunay_drawer.py index 0635d69ce..05e2e2126 100644 --- a/autoarray/plot/wrap/two_d/delaunay_drawer.py +++ b/autoarray/plot/wrap/two_d/delaunay_drawer.py @@ -2,9 +2,9 @@ import numpy as np from typing import Optional +from autoarray.inversion.pixelization.mappers.delaunay import MapperDelaunay from autoarray.plot.wrap.two_d.abstract import AbstractMatWrap2D from autoarray.plot.wrap.base.units import Units -from autoarray.inversion.pixelization.mappers.voronoi import MapperVoronoi from autoarray.plot.wrap import base as wb @@ -19,10 +19,10 @@ def facecolors_from(values, simplices): class DelaunayDrawer(AbstractMatWrap2D): """ - Draws Voronoi pixels from a `MapperVoronoi` object (see `inversions.mapper`). This includes both drawing - each Voronoi cell and coloring it according to a color value. + Draws Delaunay pixels from a `MapperDelaunay` object (see `inversions.mapper`). This includes both drawing + each Delaunay cell and coloring it according to a color value. - The mapper contains the grid of (y,x) coordinate where the centre of each Voronoi cell is plotted. + The mapper contains the grid of (y,x) coordinate where the centre of each Delaunay cell is plotted. This object wraps methods described in below: @@ -31,7 +31,7 @@ class DelaunayDrawer(AbstractMatWrap2D): def draw_delaunay_pixels( self, - mapper: MapperVoronoi, + mapper: MapperDelaunay, pixel_values: Optional[np.ndarray], units: Units, cmap: Optional[wb.Cmap], @@ -41,23 +41,23 @@ def draw_delaunay_pixels( use_log10: bool = False, ): """ - Draws the Voronoi pixels of the input `mapper` using its `mesh_grid` which contains the (y,x) - coordinate of the centre of every Voronoi cell. This uses the method `plt.fill`. + Draws the Delaunay pixels of the input `mapper` using its `mesh_grid` which contains the (y,x) + coordinate of the centre of every Delaunay cell. This uses the method `plt.fill`. Parameters ---------- mapper - A mapper object which contains the Voronoi mesh. + A mapper object which contains the Delaunay mesh. pixel_values - An array used to compute the color values that every Voronoi cell is plotted using. + An array used to compute the color values that every Delaunay cell is plotted using. cmap - The colormap used to plot each Voronoi cell. + The colormap used to plot each Delaunay cell. colorbar - The `Colorbar` object in `mat_base` used to set the colorbar of the figure the Voronoi mesh is plotted on. + The `Colorbar` object in `mat_base` used to set the colorbar of the figure the Delaunay mesh is plotted on. colorbar_tickparams The `ColorbarTickParams` object in `mat_base` used to set the tick labels of the colorbar. ax - The matplotlib axis the Voronoi mesh is plotted on. + The matplotlib axis the Delaunay mesh is plotted on. use_log10 If `True`, the colorbar is plotted using a log10 scale. """ @@ -67,6 +67,9 @@ def draw_delaunay_pixels( "pixel_values input to DelaunayPlotter are None and thus cannot be plotted." ) + if pixel_values is not None: + pixel_values = np.asarray(pixel_values) + if ax is None: ax = plt.gca() @@ -74,6 +77,11 @@ def draw_delaunay_pixels( simplices = mapper.delaunay.simplices + # Remove padded -1 values required for JAX + simplices = np.asarray(simplices) + valid_mask = np.all(simplices >= 0, axis=1) + simplices = simplices[valid_mask] + facecolors = facecolors_from(values=pixel_values, simplices=simplices) norm = cmap.norm_from(array=pixel_values, use_log10=use_log10) diff --git a/autoarray/plot/wrap/two_d/interpolated_reconstruction.py b/autoarray/plot/wrap/two_d/interpolated_reconstruction.py index 328a7fdbf..23d750683 100644 --- a/autoarray/plot/wrap/two_d/interpolated_reconstruction.py +++ b/autoarray/plot/wrap/two_d/interpolated_reconstruction.py @@ -4,7 +4,6 @@ from autoarray.plot.wrap.two_d.abstract import AbstractMatWrap2D from autoarray.plot.wrap.base.units import Units -from autoarray.inversion.pixelization.mappers.voronoi import MapperVoronoi from autoarray.inversion.pixelization.mappers.delaunay import MapperDelaunay from autoarray.plot.wrap import base as wb @@ -16,7 +15,7 @@ class InterpolatedReconstruction(AbstractMatWrap2D): triangulation) plot the values using `plt.imshow()`. The `pixel_values` are an ndarray of values which correspond to the irregular pixels of the mesh (e.g. for - a Delaunay triangulation they are the connecting corners of each triangle or Voronoi mesh). This cannot be plotted + a Delaunay triangulation they are the connecting corners of each triangle). This cannot be plotted with `imshow()`, therefore this class first converts the `pixel_values` from this irregular grid to a uniform 2D array of square pixels via interpolation. @@ -30,7 +29,7 @@ class InterpolatedReconstruction(AbstractMatWrap2D): def imshow_reconstruction( self, - mapper: Union[MapperDelaunay, MapperVoronoi], + mapper: Union[MapperDelaunay], pixel_values: np.ndarray, units: Units, cmap: wb.Cmap, @@ -45,7 +44,7 @@ def imshow_reconstruction( triangulation) plot the values using `plt.imshow()`. The `pixel_values` are an ndarray of values which correspond to the irregular pixels of the mesh (e.g. for - a Delaunay triangulation they are the connecting corners of each triangle or Voronoi mesh). This cannot be plotted + a Delaunay triangulation they are the connecting corners of each triangle). This cannot be plotted with `imshow()`, therefore this class first converts the `pixel_values` from this irregular grid to a uniform 2D array of square pixels via interpolation. @@ -59,16 +58,16 @@ def imshow_reconstruction( Parameters ---------- mapper - An object which contains a 2D mesh (e.g. Voronoi mesh cells) and defines how to + An object which contains a 2D mesh (e.g. Delaunay mesh cells) and defines how to interpolate values from the pixelization's mesh. pixel_values - The pixel values of the pixelization's mesh (e.g. a Voronoi mesh) which are interpolated to a uniform square + The pixel values of the pixelization's mesh (e.g. a Delaunay mesh) which are interpolated to a uniform square array for plotting with `imshow()`. cmap The colormap used by `imshow()` to plot the pixelization's mesh values. colorbar The `Colorbar` object in `mat_base` used to set the colorbar of the figure the interpolated pixelization's mesh - values (e.g. values interpolated from the Voronoi mesh) are plotted on. + values (e.g. values interpolated from the Delaunay mesh) are plotted on. colorbar_tickparams Controls the tick parameters of the colorbar. """ diff --git a/autoarray/plot/wrap/two_d/voronoi_drawer.py b/autoarray/plot/wrap/two_d/voronoi_drawer.py deleted file mode 100644 index 46a8a2a13..000000000 --- a/autoarray/plot/wrap/two_d/voronoi_drawer.py +++ /dev/null @@ -1,105 +0,0 @@ -import matplotlib.pyplot as plt -import numpy as np -from typing import Optional - -from autoarray.plot.wrap.two_d.abstract import AbstractMatWrap2D -from autoarray.plot.wrap.base.units import Units -from autoarray.inversion.pixelization.mappers.voronoi import MapperVoronoi - -from autoarray.inversion.pixelization.mesh import mesh_numba_util - -from autoarray.plot.wrap import base as wb - - -class VoronoiDrawer(AbstractMatWrap2D): - """ - Draws Voronoi pixels from a `MapperVoronoi` object (see `inversions.mapper`). This includes both drawing - each Voronoi cell and coloring it according to a color value. - - The mapper contains the grid of (y,x) coordinate where the centre of each Voronoi cell is plotted. - - This object wraps methods described in below: - - https://matplotlib.org/3.3.2/api/_as_gen/matplotlib.pyplot.fill.html - """ - - def draw_voronoi_pixels( - self, - mapper: MapperVoronoi, - pixel_values: Optional[np.ndarray], - units: Units, - cmap: Optional[wb.Cmap], - colorbar: Optional[wb.Colorbar], - colorbar_tickparams: Optional[wb.ColorbarTickParams] = None, - ax=None, - use_log10: bool = False, - ): - """ - Draws the Voronoi pixels of the input `mapper` using its `mesh_grid` which contains the (y,x) - coordinate of the centre of every Voronoi cell. This uses the method `plt.fill`. - - Parameters - ---------- - mapper - A mapper object which contains the Voronoi mesh. - pixel_values - An array used to compute the color values that every Voronoi cell is plotted using. - cmap - The colormap used to plot each Voronoi cell. - colorbar - The `Colorbar` object in `mat_base` used to set the colorbar of the figure the Voronoi mesh is plotted on. - colorbar_tickparams - The `ColorbarTickParams` object in `mat_base` used to set the tick labels of the colorbar. - ax - The matplotlib axis the Voronoi mesh is plotted on. - use_log10 - If `True`, the colorbar is plotted using a log10 scale. - """ - - if ax is None: - ax = plt.gca() - - regions, vertices = mesh_numba_util.voronoi_revised_from(voronoi=mapper.voronoi) - - if pixel_values is not None: - norm = cmap.norm_from(array=pixel_values, use_log10=use_log10) - - if use_log10: - pixel_values[pixel_values < 1e-4] = 1e-4 - pixel_values = np.log10(pixel_values) - - vmin = cmap.vmin_from(array=pixel_values, use_log10=use_log10) - vmax = cmap.vmax_from(array=pixel_values, use_log10=use_log10) - - color_values = np.where(pixel_values > vmax, vmax, pixel_values) - color_values = np.where(pixel_values < vmin, vmin, color_values) - - if vmax != vmin: - color_array = (color_values - vmin) / (vmax - vmin) - else: - color_array = np.ones(color_values.shape[0]) - - cmap = plt.get_cmap(cmap.cmap) - - if colorbar is not None and colorbar is not False: - cb = colorbar.set_with_color_values( - units=units, - norm=norm, - cmap=cmap, - color_values=color_values, - ax=ax, - use_log10=use_log10, - ) - - if cb is not None and colorbar_tickparams is not None: - colorbar_tickparams.set(cb=cb) - - else: - cmap = plt.get_cmap("Greys") - color_array = np.zeros(shape=mapper.pixels) - - for region, index in zip(regions, range(mapper.pixels)): - polygon = vertices[region] - color = cmap(color_array[index]) - - plt.fill(*zip(*polygon), facecolor=color, zorder=-1, **self.config_dict) diff --git a/autoarray/preloads.py b/autoarray/preloads.py index 2e60dff68..ba9e4e4dd 100644 --- a/autoarray/preloads.py +++ b/autoarray/preloads.py @@ -24,6 +24,8 @@ def __init__( source_pixel_zeroed_indices: np.ndarray = None, image_plane_mesh_grid_list: np.ndarray = None, linear_light_profile_blurred_mapping_matrix=None, + use_voronoi_areas: bool = True, + areas_factor: float = 0.5, ): """ Stores preloaded arrays and matrices used during pixelized linear inversions, improving both performance @@ -38,7 +40,7 @@ def __init__( change and can be reused, avoiding redundant computation. Returns a list of image-plane mesh-grids, which are image-plane grids defining the centres of the pixels of - the pixelization's mesh (e.g. the centres of Voronoi pixels). + the pixelization's mesh (e.g. the centres rectangular mesh pixels). The `image_mesh` attribute of the pixelization object defines whether the centre of each mesh pixel are determined in the image-plane. When this is the case, the pixelization therefore has an image-plane mesh-grid, @@ -118,3 +120,6 @@ def __init__( self.linear_light_profile_blurred_mapping_matrix = np.array( linear_light_profile_blurred_mapping_matrix ) + + self.use_voronoi_areas = use_voronoi_areas + self.areas_factor = areas_factor diff --git a/autoarray/structures/grids/grid_2d_util.py b/autoarray/structures/grids/grid_2d_util.py index 6dbe85979..1ad816935 100644 --- a/autoarray/structures/grids/grid_2d_util.py +++ b/autoarray/structures/grids/grid_2d_util.py @@ -647,13 +647,6 @@ def grid_2d_of_points_within_radius( return np.asarray(y_inside, x_inside) -def compute_polygon_area(points): - x = points[:, 1] - y = points[:, 0] - - return 0.5 * np.abs(np.dot(x, np.roll(y, 1)) - np.dot(y, np.roll(x, 1))) - - def grid_pixels_in_mask_pixels_from( grid, shape_native, pixel_scales, origin ) -> np.ndarray: diff --git a/autoarray/structures/mesh/abstract_2d.py b/autoarray/structures/mesh/abstract_2d.py index cf630443e..76dd13b0a 100644 --- a/autoarray/structures/mesh/abstract_2d.py +++ b/autoarray/structures/mesh/abstract_2d.py @@ -29,7 +29,7 @@ def interpolation_grid_from( ) -> Grid2D: """ Returns a 2D grid of (y,x) coordinates on to which a reconstruction from a pixelization (e.g. a `Delaunay`, - `Voronoi`) can be interpolated. + `Delaunay`) can be interpolated. The interpolation grid is computed from the pixelization's `extent`, which describes the [x0, x1, y0, y1] extent that the pixelization covers. This `extent` is converted to an `extent_square` such diff --git a/autoarray/structures/mesh/delaunay_2d.py b/autoarray/structures/mesh/delaunay_2d.py index 7816e2752..782cdd139 100644 --- a/autoarray/structures/mesh/delaunay_2d.py +++ b/autoarray/structures/mesh/delaunay_2d.py @@ -1,14 +1,529 @@ import numpy as np -from typing import Optional, Tuple +import scipy.spatial +from scipy.spatial import cKDTree, Delaunay, Voronoi +from typing import List, Union, Optional, Tuple -from autoarray.inversion.linear_obj.neighbors import Neighbors +from autoconf import cached_property + +from autoarray.geometry.geometry_2d_irregular import Geometry2DIrregular +from autoarray.structures.mesh.abstract_2d import Abstract2DMesh from autoarray.structures.arrays.uniform_2d import Array2D -from autoarray.structures.mesh.triangulation_2d import Abstract2DMeshTriangulation +from autoarray.inversion.linear_obj.neighbors import Neighbors + +from autoarray import exc from autoarray.inversion.pixelization.mesh import mesh_numba_util -class Mesh2DDelaunay(Abstract2DMeshTriangulation): +def scipy_delaunay(points_np, query_points_np, use_voronoi_areas, areas_factor): + """Compute Delaunay simplices (simplices_padded) and Voronoi areas in one call.""" + + max_simplices = 2 * points_np.shape[0] + + # --- Delaunay mesh using source plane data grid --- + tri = Delaunay(points_np) + + points = tri.points.astype(points_np.dtype) + simplices = tri.simplices.astype(np.int32) + + # Pad simplices to max_simplices + simplices_padded = -np.ones((max_simplices, 3), dtype=np.int32) + simplices_padded[: simplices.shape[0]] = simplices + + # ---------- find_simplex for source plane data grid ---------- + simplex_idx = tri.find_simplex(query_points_np).astype(np.int32) # (Q,) + + mappings = pix_indexes_for_sub_slim_index_delaunay_from( + source_plane_data_grid=query_points_np, + simplex_index_for_sub_slim_index=simplex_idx, + pix_indexes_for_simplex_index=simplices, + delaunay_points=points_np, + ) + + # ---------- Voronoi or Barycentric Areas used to weight split points ---------- + + if use_voronoi_areas: + + areas = voronoi_areas_numpy( + points, + ) + + max_area = np.percentile(areas, 90.0) + + areas[areas == -1] = max_area + areas[areas > max_area] = max_area + + else: + + areas = barycentric_dual_area_from( + points, + simplices, + xp=np, + ) + + split_point_areas = areas_factor * np.sqrt(areas) + + # ---------- Compute split cross points for Split regularization ---------- + split_points = split_points_from( + points=points_np, + area_weights=split_point_areas, + ) + + # ---------- find_simplex for split cross points ---------- + split_points_idx = tri.find_simplex(split_points) + + splitted_mappings = pix_indexes_for_sub_slim_index_delaunay_from( + source_plane_data_grid=split_points, + simplex_index_for_sub_slim_index=split_points_idx, + pix_indexes_for_simplex_index=simplices, + delaunay_points=points_np, + ) + + return points, simplices_padded, mappings, split_points, splitted_mappings + + +def jax_delaunay(points, query_points, use_voronoi_areas, areas_factor=0.5): + import jax + import jax.numpy as jnp + + N = points.shape[0] + Q = query_points.shape[0] + max_simplices = 2 * N + + points_shape = jax.ShapeDtypeStruct((N, 2), points.dtype) + simplices_padded_shape = jax.ShapeDtypeStruct((max_simplices, 3), jnp.int32) + mappings_shape = jax.ShapeDtypeStruct((Q, 3), jnp.int32) + split_points_shape = jax.ShapeDtypeStruct((N * 4, 2), points.dtype) + splitted_mappings_shape = jax.ShapeDtypeStruct((N * 4, 3), jnp.int32) + + return jax.pure_callback( + lambda points, qpts: scipy_delaunay( + np.asarray(points), np.asarray(qpts), use_voronoi_areas, areas_factor + ), + ( + points_shape, + simplices_padded_shape, + mappings_shape, + split_points_shape, + splitted_mappings_shape, + ), + points, + query_points, + ) + + +def barycentric_dual_area_from( + mesh_grid, # (N_pix, 2) vertex positions + simplices, # (N_tri, 3) triangle vertex indices + xp=np, # xp = np or jnp +): + """ + Compute barycentric dual area for each vertex in a Delaunay triangulation. + + Dual area A_i = sum over triangles containing vertex i of (triangle_area / 3). + + Parameters + ---------- + mesh_grid : (N_pix, 2) + Coordinates of all mesh vertices. + simplices : (N_tri, 3) + Vertex indices for each triangle. + xp : module + numpy or jax.numpy + + Returns + ------- + dual_area : (N_pix,) + Barycentric dual area for each vertex. + """ + + # ------------------------------- + # gather triangle vertices + # ------------------------------- + p0 = mesh_grid[simplices[:, 0]] # (N_tri, 2) + p1 = mesh_grid[simplices[:, 1]] + p2 = mesh_grid[simplices[:, 2]] + + # ------------------------------- + # triangle areas + # ------------------------------- + # parallelogram area = |(p1 - p0) × (p2 - p0)| + cross = (p1[:, 0] - p0[:, 0]) * (p2[:, 1] - p0[:, 1]) - (p1[:, 1] - p0[:, 1]) * ( + p2[:, 0] - p0[:, 0] + ) + + tri_area = 0.5 * xp.abs(cross) # (N_tri,) + + # each triangle contributes area/3 to 3 vertices + contrib = tri_area / 3.0 + + # ------------------------------- + # scatter-add into dual area array + # ------------------------------- + N_pix = mesh_grid.shape[0] + dual_area = xp.zeros(N_pix) + + # xp.add.at works for np and jnp + for k in range(3): + xp.add.at(dual_area, simplices[:, k], contrib) + + return dual_area + + +def voronoi_areas_numpy(points, qhull_options="Qbb Qc Qx Qm"): + """ + Compute Voronoi cell areas with a fully optimized pure-NumPy pipeline. + Exact match to the per-cell SciPy Voronoi loop but much faster. + """ + vor = Voronoi(points, qhull_options=qhull_options) + + vertices = vor.vertices + point_region = vor.point_region + regions = vor.regions + N = len(point_region) + + # ------------------------------------------------------------ + # 1) Collect all region lists in one go (list comprehension is fast) + # ------------------------------------------------------------ + region_lists = [regions[r] for r in point_region] + + # Precompute which regions are unbounded (vectorized test) + unbounded = np.array([(-1 in r) for r in region_lists], dtype=bool) + + # Filter only bounded region vertex indices + clean_regions = [ + np.asarray([v for v in r if v != -1], dtype=int) for r in region_lists + ] + + # Compute lengths once + lengths = np.array([len(r) for r in clean_regions], dtype=int) + max_len = lengths.max() + + # ------------------------------------------------------------ + # 2) Build padded idx + mask in a vectorized-like way + # + # Instead of doing Python work inside the loop, we pre-pack + # the flattened data and then reshape. + # ------------------------------------------------------------ + idx = np.full((N, max_len), -1, dtype=int) + mask = np.zeros((N, max_len), dtype=bool) + + # Single loop remaining: extremely cheap + for i, (r, L) in enumerate(zip(clean_regions, lengths)): + if L: + idx[i, :L] = r + mask[i, :L] = True + + # ------------------------------------------------------------ + # 3) Gather polygon vertices (vectorized) + # ------------------------------------------------------------ + safe_idx = idx.clip(min=0) + verts = vertices[safe_idx] # (N, max_len, 2) + + # Extract x, y with masked invalid entries zeroed + x = np.where(mask, verts[..., 1], 0.0) + y = np.where(mask, verts[..., 0], 0.0) + + # ------------------------------------------------------------ + # 4) Vectorized "previous index" per polygon + # ------------------------------------------------------------ + safe_lengths = np.where(lengths == 0, 1, lengths) + j = np.arange(max_len) + prev = (j[None, :] - 1) % safe_lengths[:, None] + + # Efficient take-along-axis + x_prev = np.take_along_axis(x, prev, axis=1) + y_prev = np.take_along_axis(y, prev, axis=1) + + # ------------------------------------------------------------ + # 5) Shoelace vectorized + # ------------------------------------------------------------ + cross = x * y_prev - y * x_prev + areas = 0.5 * np.abs(cross.sum(axis=1)) + + # ------------------------------------------------------------ + # 6) Mark unbounded regions + # ------------------------------------------------------------ + areas[unbounded] = -1.0 + + return areas + + +def split_points_from(points, area_weights, xp=np): + """ + points : (N, 2) + areas : (N,) + xp : np or jnp + + Returns (4*N, 2) + """ + + N = points.shape[0] + offsets = area_weights + + x = points[:, 0] + y = points[:, 1] + + # Allocate output (N, 4, 2) + out = xp.zeros((N, 4, 2), dtype=points.dtype) + + if xp.__name__.startswith("jax"): + # ---------------------------- + # JAX → use .at[] updates + # ---------------------------- + out = out.at[:, 0, 0].set(x + offsets) + out = out.at[:, 0, 1].set(y) + + out = out.at[:, 1, 0].set(x - offsets) + out = out.at[:, 1, 1].set(y) + + out = out.at[:, 2, 0].set(x) + out = out.at[:, 2, 1].set(y + offsets) + + out = out.at[:, 3, 0].set(x) + out = out.at[:, 3, 1].set(y - offsets) + + else: + + # ---------------------------- + # NumPy → direct assignment OK + # ---------------------------- + out[:, 0, 0] = x + offsets + out[:, 0, 1] = y + + out[:, 1, 0] = x - offsets + out[:, 1, 1] = y + + out[:, 2, 0] = x + out[:, 2, 1] = y + offsets + + out[:, 3, 0] = x + out[:, 3, 1] = y - offsets + + return out.reshape((N * 4, 2)) + + +def pix_indexes_for_sub_slim_index_delaunay_from( + source_plane_data_grid, # (N_sub, 2) + simplex_index_for_sub_slim_index, # (N_sub,) + pix_indexes_for_simplex_index, # (M, 3) + delaunay_points, # (N_pix, 2) +): + + N_sub = source_plane_data_grid.shape[0] + + inside_mask = simplex_index_for_sub_slim_index >= 0 + outside_mask = ~inside_mask + + # --------------------------- + # Preallocate output + # --------------------------- + out = np.full((N_sub, 3), -1, dtype=np.int32) + + # --------------------------- + # Case 1: Inside simplex (fast gather) + # --------------------------- + if inside_mask.any(): + out[inside_mask] = pix_indexes_for_simplex_index[ + simplex_index_for_sub_slim_index[inside_mask] + ] + + # --------------------------- + # Case 2: Outside → KDTree NN + # --------------------------- + if outside_mask.any(): + tree = cKDTree(delaunay_points) + _, idx = tree.query(source_plane_data_grid[outside_mask], k=1) + out[outside_mask, 0] = idx.astype(np.int32) + + out = out.astype(np.int32) + + return out + + +class DelaunayInterface: + + def __init__( + self, points, simplices, mappings, split_points, splitted_mappings, xp=np + ): + + self.points = points + self.simplices = simplices + self.mappings = mappings + self.split_points = split_points + self.splitted_mappings = splitted_mappings + + self.xp = xp + + @cached_property + def sizes(self): + return self.xp.sum(self.mappings >= 0, axis=1).astype(np.int32) + + @cached_property + def splitted_sizes(self): + return self.xp.sum(self.splitted_mappings >= 0, axis=1).astype(np.int32) + + +class Mesh2DDelaunay(Abstract2DMesh): + def __init__( + self, + values: Union[np.ndarray, List], + source_plane_data_grid_over_sampled=None, + preloads=None, + _xp=np, + ): + """ + An irregular 2D grid of (y,x) coordinates which represents both a Delaunay triangulation and Voronoi mesh. + + The input irregular `2D` grid represents both of the following quantities: + + - The corners of the Delaunay triangulles used to construct a Delaunay triangulation. + - The centers of a Voronoi pixels used to constract a Voronoi mesh. + + These reflect the closely related geometric properties of the Delaunay and Voronoi grids, whereby the corner + points of Delaunay triangles by definition represent the centres of the corresponding Voronoi mesh. + + Different pixelizations, mappers and regularization schemes combine the Delaunay and Voronoi + geometries in different ways to perform an Inversion. Thus, having all geometric methods contained in the + single class here is necessary. + + The input `grid` of source pixel centres is ordered arbitrarily, given that there is no regular pattern + for a Delaunay triangulation and Voronoi mesh's indexing to follow. + + This class is used in conjuction with the `inversion/pixelizations` package to create Voronoi meshs + and mappers that perform an `Inversion`. + + Parameters + ---------- + values + The grid of (y,x) coordinates corresponding to the Delaunay triangle corners and Voronoi pixel centres. + """ + + if type(values) is list: + values = np.asarray(values) + + super().__init__(values, xp=_xp) + + self._source_plane_data_grid_over_sampled = source_plane_data_grid_over_sampled + self.preloads = preloads + @property + def geometry(self): + shape_native_scaled = ( + np.amax(self[:, 0]).astype("float") - np.amin(self[:, 0]).astype("float"), + np.amax(self[:, 1]).astype("float") - np.amin(self[:, 1]).astype("float"), + ) + + scaled_maxima = ( + np.amax(self[:, 0]).astype("float"), + np.amax(self[:, 1]).astype("float"), + ) + + scaled_minima = ( + np.amin(self[:, 0]).astype("float"), + np.amin(self[:, 1]).astype("float"), + ) + + return Geometry2DIrregular( + shape_native_scaled=shape_native_scaled, + scaled_maxima=scaled_maxima, + scaled_minima=scaled_minima, + ) + + @cached_property + def mesh_grid_xy(self): + """ + The default convention in `scipy.spatial` is to represent 2D coordinates as (x,y) pairs, whereas PyAutoArray + represents 2D coordinates as (y,x) pairs. + + Therefore, this property simply converts the (y,x) grid of irregular coordinates into an (x,y) grid. + """ + return self._xp.stack([self.array[:, 0], self.array[:, 1]]).T + + @cached_property + def delaunay(self) -> "scipy.spatial.Delaunay": + """ + Returns a `scipy.spatial.Delaunay` object from the 2D (y,x) grid of irregular coordinates, which correspond to + the corner of every triangle of a Delaunay triangulation. + + This object contains numerous attributes describing a Delaunay triangulation. PyAutoArray uses the `ridge_points` + attribute to determine the neighbors of every Voronoi pixel and the `vertices`, `regions` and `point_region` + properties to determine the Voronoi pixel areas. + + There are numerous exceptions that `scipy.spatial.Voronoi` may raise when the input grid of coordinates used + to compute the Voronoi mesh are ill posed. These exceptions are caught and combined into a single + `MeshException`, which helps exception handling in the `inversion` package. + """ + + if self._source_plane_data_grid_over_sampled is None: + + raise ValueError( + """ + You must input the `source_plane_data_grid_over_sampled` parameter of the `Mesh2DDelaunay` object + in order to compute the Delaunay triangulation. + """ + ) + + if self.preloads is not None: + + use_voronoi_areas = self.preloads.use_voronoi_areas + areas_factor = self.preloads.areas_factor + + else: + + use_voronoi_areas = True + areas_factor = 0.5 + + if self._xp.__name__.startswith("jax"): + + import jax.numpy as jnp + + points, simplices, mappings, split_points, splitted_mappings = jax_delaunay( + points=self.mesh_grid_xy, + query_points=self._source_plane_data_grid_over_sampled, + use_voronoi_areas=use_voronoi_areas, + areas_factor=areas_factor, + ) + + else: + + points, simplices, mappings, split_points, splitted_mappings = ( + scipy_delaunay( + points_np=self.mesh_grid_xy, + query_points_np=self._source_plane_data_grid_over_sampled, + use_voronoi_areas=use_voronoi_areas, + areas_factor=areas_factor, + ) + ) + + return DelaunayInterface( + points=points, + simplices=simplices, + mappings=mappings, + split_points=split_points, + splitted_mappings=splitted_mappings, + xp=self._xp, + ) + + @property + def split_points(self) -> np.ndarray: + """ + For every 2d (y,x) coordinate corresponding to a Voronoi pixel centre, this property splits them into a cross + of four coordinates in the vertical and horizontal directions. The function therefore returns a irregular + 2D grid with four times the number of (y,x) coordinates. + + The distance between each centre and the 4 cross points is given by half the square root of its Voronoi + pixel area. + + The reason for creating this grid is that the cross points allow one to estimate the gradient of the value of + the Voronoi mesh, once the Voronoi pixels have values associated with them (e.g. after using the Voronoi + mesh to fit data and perform an `Inversion`). + + The grid returned by this function is used by certain regularization schemes in the `Inversion` module to apply + gradient regularization to an `Inversion` using a Delaunay triangulation or Voronoi mesh. + """ + return self.delaunay.split_points + + @cached_property def neighbors(self) -> Neighbors: """ Returns a ndarray describing the neighbors of every pixel in a Delaunay triangulation, where a neighbor is @@ -19,15 +534,18 @@ def neighbors(self) -> Neighbors: The neighbors of a Voronoi mesh are computed using the `ridge_points` attribute of the scipy `Voronoi` object, as described in the method `mesh_util.voronoi_neighbors_from`. """ - indptr, indices = self.delaunay.vertex_neighbor_vertices + + delaunay = scipy.spatial.Delaunay(self.mesh_grid_xy) + + indptr, indices = delaunay.vertex_neighbor_vertices sizes = indptr[1:] - indptr[:-1] neighbors = -1 * np.ones( - shape=(self.parameters, int(np.max(sizes))), dtype="int" + shape=(self.mesh_grid_xy.shape[0], int(np.max(sizes))), dtype="int" ) - for k in range(self.parameters): + for k in range(self.mesh_grid_xy.shape[0]): neighbors[k][0 : sizes[k]] = indices[indptr[k] : indptr[k + 1]] return Neighbors(arr=neighbors.astype("int"), sizes=sizes.astype("int")) @@ -63,6 +581,9 @@ def interpolated_array_from( The (x0, x1, y0, y1) extent of the grid in scaled coordinates over which the grid is created if it is input. """ + # Uses find simplex so recomputes delaunay internally + delaunay = Delaunay(self.mesh_grid_xy) + interpolation_grid = self.interpolation_grid_from( shape_native=shape_native, extent=extent ) @@ -70,10 +591,67 @@ def interpolated_array_from( interpolated_array = mesh_numba_util.delaunay_interpolated_array_from( shape_native=shape_native, interpolation_grid_slim=np.array(interpolation_grid.slim.array), - delaunay=self.delaunay, + delaunay=delaunay, pixel_values=values, ) return Array2D.no_mask( values=interpolated_array, pixel_scales=interpolation_grid.pixel_scales ) + + @cached_property + def voronoi(self) -> "scipy.spatial.Voronoi": + """ + Returns a `scipy.spatial.Voronoi` object from the 2D (y,x) grid of irregular coordinates, which correspond to + the centre of every Voronoi pixel. + + This object contains numerous attributes describing a Voronoi mesh. PyAutoArray uses + the `vertex_neighbor_vertices` attribute to determine the neighbors of every Delaunay triangle. + + There are numerous exceptions that `scipy.spatial.Delaunay` may raise when the input grid of coordinates used + to compute the Delaunay triangulation are ill posed. These exceptions are caught and combined into a single + `MeshException`, which helps exception handling in the `inversion` package. + """ + import scipy.spatial + from scipy.spatial import QhullError + + try: + return scipy.spatial.Voronoi( + self.mesh_grid_xy, + qhull_options="Qbb Qc Qx Qm", + ) + except (ValueError, OverflowError, QhullError) as e: + raise exc.MeshException() from e + + @property + def voronoi_areas(self): + return voronoi_areas_numpy(points=self.mesh_grid_xy) + + @property + def areas_for_magnification(self) -> np.ndarray: + """ + Returns the area of every Voronoi pixel in the Voronoi mesh. + + Pixels at boundaries can sometimes have large unrealistic areas, which can impact the magnification + calculation. This method therefore sets their areas to zero so they do not impact the magnification + calculation. + """ + areas = self.voronoi_areas + + areas[areas == -1] = 0.0 + + return areas + + @property + def origin(self) -> Tuple[float, float]: + """ + The (y,x) origin of the Voronoi grid, which is fixed to (0.0, 0.0) for simplicity. + """ + return 0.0, 0.0 + + @property + def pixels(self) -> int: + """ + The total number of pixels in the Voronoi mesh. + """ + return self.shape[0] diff --git a/autoarray/structures/mesh/rectangular_2d.py b/autoarray/structures/mesh/rectangular_2d.py index 2fa855443..0bda2cace 100644 --- a/autoarray/structures/mesh/rectangular_2d.py +++ b/autoarray/structures/mesh/rectangular_2d.py @@ -129,12 +129,6 @@ def neighbors(self) -> Neighbors: return Neighbors(arr=neighbors.astype("int"), sizes=sizes.astype("int")) - @property - def edge_pixel_list(self) -> List: - return mesh_util.rectangular_edge_pixel_list_from( - shape_native=self.shape_native - ) - @property def pixels(self) -> int: """ diff --git a/autoarray/structures/mesh/triangulation_2d.py b/autoarray/structures/mesh/triangulation_2d.py deleted file mode 100644 index c515937a2..000000000 --- a/autoarray/structures/mesh/triangulation_2d.py +++ /dev/null @@ -1,227 +0,0 @@ -import numpy as np - -from typing import List, Union, Tuple - -from autoarray.geometry.geometry_2d_irregular import Geometry2DIrregular -from autoarray.structures.mesh.abstract_2d import Abstract2DMesh - -from autoarray import exc -from autoarray.inversion.pixelization.mesh import mesh_numba_util -from autoarray.structures.grids import grid_2d_util - - -class Abstract2DMeshTriangulation(Abstract2DMesh): - def __init__( - self, - values: Union[np.ndarray, List], - ): - """ - An irregular 2D grid of (y,x) coordinates which represents both a Delaunay triangulation and Voronoi mesh. - - The input irregular `2D` grid represents both of the following quantities: - - - The corners of the Delaunay triangulles used to construct a Delaunay triangulation. - - The centers of a Voronoi pixels used to constract a Voronoi mesh. - - These reflect the closely related geometric properties of the Delaunay and Voronoi grids, whereby the corner - points of Delaunay triangles by definition represent the centres of the corresponding Voronoi mesh. - - Different pixelizations, mappers and regularization schemes combine the Delaunay and Voronoi - geometries in different ways to perform an Inversion. Thus, having all geometric methods contained in the - single class here is necessary. - - The input `grid` of source pixel centres is ordered arbitrarily, given that there is no regular pattern - for a Delaunay triangulation and Voronoi mesh's indexing to follow. - - This class is used in conjuction with the `inversion/pixelizations` package to create Voronoi meshs - and mappers that perform an `Inversion`. - - Parameters - ---------- - values - The grid of (y,x) coordinates corresponding to the Delaunay triangle corners and Voronoi pixel centres. - """ - - if type(values) is list: - values = np.asarray(values) - - super().__init__(values) - - @property - def geometry(self): - shape_native_scaled = ( - np.amax(self[:, 0]).astype("float") - np.amin(self[:, 0]).astype("float"), - np.amax(self[:, 1]).astype("float") - np.amin(self[:, 1]).astype("float"), - ) - - scaled_maxima = ( - np.amax(self[:, 0]).astype("float"), - np.amax(self[:, 1]).astype("float"), - ) - - scaled_minima = ( - np.amin(self[:, 0]).astype("float"), - np.amin(self[:, 1]).astype("float"), - ) - - return Geometry2DIrregular( - shape_native_scaled=shape_native_scaled, - scaled_maxima=scaled_maxima, - scaled_minima=scaled_minima, - ) - - @property - def delaunay(self) -> "scipy.spatial.Delaunay": - """ - Returns a `scipy.spatial.Delaunay` object from the 2D (y,x) grid of irregular coordinates, which correspond to - the corner of every triangle of a Delaunay triangulation. - - This object contains numerous attributes describing a Delaunay triangulation. PyAutoArray uses the `ridge_points` - attribute to determine the neighbors of every Voronoi pixel and the `vertices`, `regions` and `point_region` - properties to determine the Voronoi pixel areas. - - There are numerous exceptions that `scipy.spatial.Voronoi` may raise when the input grid of coordinates used - to compute the Voronoi mesh are ill posed. These exceptions are caught and combined into a single - `MeshException`, which helps exception handling in the `inversion` package. - """ - - import scipy.spatial - - try: - return scipy.spatial.Delaunay( - np.asarray([self.array[:, 0], self.array[:, 1]]).T - ) - except (ValueError, OverflowError, scipy.spatial.qhull.QhullError) as e: - raise exc.MeshException() from e - - @property - def voronoi(self) -> "scipy.spatial.Voronoi": - """ - Returns a `scipy.spatial.Voronoi` object from the 2D (y,x) grid of irregular coordinates, which correspond to - the centre of every Voronoi pixel. - - This object contains numerous attributes describing a Voronoi mesh. PyAutoArray uses - the `vertex_neighbor_vertices` attribute to determine the neighbors of every Delaunay triangle. - - There are numerous exceptions that `scipy.spatial.Delaunay` may raise when the input grid of coordinates used - to compute the Delaunay triangulation are ill posed. These exceptions are caught and combined into a single - `MeshException`, which helps exception handling in the `inversion` package. - """ - import scipy.spatial - from scipy.spatial import QhullError - - try: - return scipy.spatial.Voronoi( - np.asarray([self.array[:, 1], self.array[:, 0]]).T, - qhull_options="Qbb Qc Qx Qm", - ) - except (ValueError, OverflowError, QhullError) as e: - raise exc.MeshException() from e - - @property - def edge_pixel_list(self) -> List: - """ - Returns a list of the Voronoi pixel indexes that are on the edge of the mesh. - """ - - return mesh_numba_util.voronoi_edge_pixels_from( - regions=self.voronoi.regions, point_region=self.voronoi.point_region - ) - - @property - def split_cross(self) -> np.ndarray: - """ - For every 2d (y,x) coordinate corresponding to a Voronoi pixel centre, this property splits them into a cross - of four coordinates in the vertical and horizontal directions. The function therefore returns a irregular - 2D grid with four times the number of (y,x) coordinates. - - The distance between each centre and the 4 cross points is given by half the square root of its Voronoi - pixel area. - - The reason for creating this grid is that the cross points allow one to estimate the gradient of the value of - the Voronoi mesh, once the Voronoi pixels have values associated with them (e.g. after using the Voronoi - mesh to fit data and perform an `Inversion`). - - The grid returned by this function is used by certain regularization schemes in the `Inversion` module to apply - gradient regularization to an `Inversion` using a Delaunay triangulation or Voronoi mesh. - """ - half_region_area_sqrt_lengths = 0.5 * np.sqrt( - self.voronoi_pixel_areas_for_split - ) - - splitted_array = np.zeros((self.pixels, 4, 2)) - - splitted_array[:, 0][:, 0] = self.array[:, 0] + half_region_area_sqrt_lengths - splitted_array[:, 0][:, 1] = self.array[:, 1] - - splitted_array[:, 1][:, 0] = self.array[:, 0] - half_region_area_sqrt_lengths - splitted_array[:, 1][:, 1] = self.array[:, 1] - - splitted_array[:, 2][:, 0] = self.array[:, 0] - splitted_array[:, 2][:, 1] = self.array[:, 1] + half_region_area_sqrt_lengths - - splitted_array[:, 3][:, 0] = self.array[:, 0] - splitted_array[:, 3][:, 1] = self.array[:, 1] - half_region_area_sqrt_lengths - - return splitted_array.reshape((self.pixels * 4, 2)) - - @property - def voronoi_pixel_areas(self) -> np.ndarray: - """ - Returns the area of every Voronoi pixel in the Voronoi mesh. - - Pixels at boundaries can sometimes have large unrealistic areas, in which case we set the maximum area to be - an input value of N% the maximum area of the Voronoi mesh, which this value is suitable for different - calculations. - """ - voronoi_vertices = self.voronoi.vertices - voronoi_regions = self.voronoi.regions - voronoi_point_region = self.voronoi.point_region - region_areas = np.zeros(self.pixels) - - for i in range(self.pixels): - region_vertices_indexes = voronoi_regions[voronoi_point_region[i]] - if -1 in region_vertices_indexes: - region_areas[i] = -1 - else: - region_areas[i] = grid_2d_util.compute_polygon_area( - voronoi_vertices[region_vertices_indexes] - ) - - return region_areas - - @property - def voronoi_pixel_areas_for_split(self) -> np.ndarray: - """ - Returns the area of every Voronoi pixel in the Voronoi mesh. - - These areas are used when performing gradient regularization in order to determine the size of the cross of - points where the derivative is evaluated and therefore where regularization is evaluated (see `split_cross`). - - Pixels at boundaries can sometimes have large unrealistic areas, in which case we set the maximum area to be - 90.0% the maximum area of the Voronoi mesh. This large area values ensures that the pixels are regularized - with large regularization coefficients, which is preferred at the edge of the mesh where the reconstruction - goes to zero. - """ - areas = self.voronoi_pixel_areas - - max_area = np.percentile(areas, 90.0) - - areas[areas == -1] = max_area - areas[areas > max_area] = max_area - - return areas - - @property - def origin(self) -> Tuple[float, float]: - """ - The (y,x) origin of the Voronoi grid, which is fixed to (0.0, 0.0) for simplicity. - """ - return 0.0, 0.0 - - @property - def pixels(self) -> int: - """ - The total number of pixels in the Voronoi mesh. - """ - return self.shape[0] diff --git a/autoarray/structures/mesh/voronoi_2d.py b/autoarray/structures/mesh/voronoi_2d.py deleted file mode 100644 index ac342f05e..000000000 --- a/autoarray/structures/mesh/voronoi_2d.py +++ /dev/null @@ -1,102 +0,0 @@ -import numpy as np - -from typing import Optional, Tuple - -from autoarray.inversion.linear_obj.neighbors import Neighbors -from autoarray.structures.arrays.uniform_2d import Array2D -from autoarray.structures.mesh.triangulation_2d import Abstract2DMeshTriangulation - -from autoarray.inversion.pixelization.mesh import mesh_numba_util - - -class Mesh2DVoronoi(Abstract2DMeshTriangulation): - @property - def areas_for_magnification(self) -> np.ndarray: - """ - Returns the area of every Voronoi pixel in the Voronoi mesh. - - Pixels at boundaries can sometimes have large unrealistic areas, which can impact the magnification - calculation. This method therefore sets their areas to zero so they do not impact the magnification - calculation. - """ - areas = self.voronoi_pixel_areas - - areas[areas == -1] = 0.0 - - return areas - - @property - def neighbors(self) -> Neighbors: - """ - Returns a ndarray describing the neighbors of every pixel in a Voronoi mesh, where a neighbor is defined as - two Voronoi cells which share an adjacent vertex. - - see `Neighbors` for a complete description of the neighboring scheme. - - The neighbors of a Voronoi mesh are computed using the `ridge_points` attribute of the scipy `Voronoi` - object, as described in the method `mesh_numba_util.voronoi_neighbors_from`. - """ - - neighbors, sizes = mesh_numba_util.voronoi_neighbors_from( - pixels=self.pixels, ridge_points=np.asarray(self.voronoi.ridge_points) - ) - - return Neighbors(arr=neighbors.astype("int"), sizes=sizes.astype("int")) - - def interpolated_array_from( - self, - values: np.ndarray, - shape_native: Tuple[int, int] = (401, 401), - extent: Optional[Tuple[float, float, float, float]] = None, - use_nn=False, - ) -> Array2D: - """ - The reconstruction of data on a `Voronoi` mesh (e.g. the `reconstruction` output from an `Inversion`) - is on irregular pixelization. - - Analysing the reconstruction can therefore be difficult and require specific functionality tailored to the - `Voronoi` mesh. - - This function therefore interpolates the irregular reconstruction on to a regular grid of square pixels. - The routine uses the naturual neighbor Voronoi interpolation weights. - - The output interpolated reconstruction cis by default returned on a grid of 401 x 401 square pixels. This - can be customized by changing the `shape_native` input, and a rectangular grid with rectangular pixels can - be returned by instead inputting the optional `shape_scaled` tuple. - - Parameters - ---------- - values - The value corresponding to the reconstructed value of every Voronoi cell. - shape_native - The 2D shape in pixels of the interpolated reconstruction, which is always returned using square pixels. - shape_scaled - The 2D shape in scaled coordinates (e.g. arc-seconds in PyAutoGalaxy / PyAutoLens) that the interpolated - reconstructed source is returned on. - """ - from scipy.interpolate import griddata - - interpolation_grid = self.interpolation_grid_from( - shape_native=shape_native, extent=extent - ) - - if use_nn: - interpolated_array = mesh_numba_util.voronoi_nn_interpolated_array_from( - shape_native=shape_native, - interpolation_grid_slim=interpolation_grid.slim, - pixel_values=values, - voronoi=self.voronoi, - ) - - else: - interpolated_array = griddata( - points=self.voronoi.points, values=values, xi=interpolation_grid - ) - - interpolated_array = np.flipud( - np.fliplr(interpolated_array.reshape(shape_native).T) - ) - - return Array2D.no_mask( - values=interpolated_array, pixel_scales=interpolation_grid.pixel_scales - ) diff --git a/autoarray/structures/triangles/shape.py b/autoarray/structures/triangles/shape.py index 3da2fe94a..cba3056bf 100644 --- a/autoarray/structures/triangles/shape.py +++ b/autoarray/structures/triangles/shape.py @@ -315,7 +315,7 @@ def tree_unflatten(cls, aux_data, children): def mask(self, triangles: np.ndarray) -> np.ndarray: """ - Determine which triangles intersect the Voronoi cell. + Determine which triangles intersect the cell. Parameters ---------- @@ -324,7 +324,7 @@ def mask(self, triangles: np.ndarray) -> np.ndarray: Returns ------- - A boolean array indicating which triangles intersect the Voronoi cell. + A boolean array indicating which triangles intersect the cell. """ return np.any( [triangle.mask(triangles) for triangle in self.triangles], diff --git a/autoarray/util/nn/README.md b/autoarray/util/nn/README.md deleted file mode 100644 index 75f8664a5..000000000 --- a/autoarray/util/nn/README.md +++ /dev/null @@ -1,53 +0,0 @@ -Natural Neighbour -================= - -(Natural Neighbours interpolation for PyAutoLens) - -If you want to use the `Voronoi` pixelization, which applies natural neighbor -interpolation (https://en.wikipedia.org/wiki/Natural_neighbor_interpolation) to a Voronoi mesh you must -install this C package. - -This currently requires that PyAutoLens is built from source, e.g. via cloning PyAutoLens and its parent packagees -from GitHub (https://pyautolens.readthedocs.io/en/latest/installation/source.html). - -The code is a slightly modified version of "https://github.com/sakov/nn-c", a natural neighboring interpolation C -code written by Pavel Sakov. - -To install nn for PyAutoLens on a linux machine (and presumably a MAC) follow the steps below: - -1. Put directory 'nn' folders in your global command line variable LD_LIBRARY_PATH. - - export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/your/path/to/autoarray/util/nn/src/nn - -You may wish to add this to your ~/.bashrc file or virtual environment activate script so you do not need to re-enter -the path every time you open a new environment. - -2. go to directory 'nn' - - cd /your/path/to/autoarray/util/nn/src/nn - -3. run: - - ./configure - -3 (Optional) If you receive a permission error running the command above (which has been reported to occur on super computers) then try the following command instead: - - bash ./configure - -4. run the following command is to backup the automatically generated makefile. - - cp makefile_autolens makefile - -5. Run the make command: - - make - -If you see libnnhpi_customized.so, it should be correctly compiled. - -To test the installation go to the folder test_autoarray/util, and run 'pytest' - -To clean all compiled fields, run: - - make distclean - - diff --git a/autoarray/util/nn/nn_py.py b/autoarray/util/nn/nn_py.py deleted file mode 100644 index 1c10d8a64..000000000 --- a/autoarray/util/nn/nn_py.py +++ /dev/null @@ -1,108 +0,0 @@ -import numpy as np -import ctypes -import os - - -try: - _file = ( - os.path.realpath(os.path.dirname(__file__)) + "/src/nn/libnnhpi_customized.so" - ) - _mod = ctypes.cdll.LoadLibrary(_file) - - # interpolate_weights_from is for creating a mapper - interpolate_weights_from = _mod.interpolate_weights_from - interpolate_weights_from.argtypes = ( - ctypes.POINTER(ctypes.c_double), - ctypes.POINTER(ctypes.c_double), - ctypes.POINTER(ctypes.c_double), - ctypes.c_int, - ctypes.POINTER(ctypes.c_double), - ctypes.POINTER(ctypes.c_double), - ctypes.c_int, - ctypes.POINTER(ctypes.c_double), - ctypes.POINTER(ctypes.c_int), - ctypes.c_int, - ) - interpolate_weights_from.restype = ctypes.c_int - - # interpolate_from is for plotting - interpolate_from = _mod.interpolate_from - interpolate_from.argtypes = ( - ctypes.POINTER(ctypes.c_double), - ctypes.POINTER(ctypes.c_double), - ctypes.POINTER(ctypes.c_double), - ctypes.c_int, - ctypes.POINTER(ctypes.c_double), - ctypes.POINTER(ctypes.c_double), - ctypes.POINTER(ctypes.c_double), - ctypes.POINTER(ctypes.c_int), - ctypes.c_int, - ) - interpolate_from.restype = ctypes.c_int - - def natural_interpolation_weights(x_in, y_in, x_target, y_target, max_nneighbours): - nin = len(x_in) - nout = len(x_target) - - z_in = np.zeros(len(x_in), dtype=np.double) - - weights_out = np.zeros(nout * max_nneighbours, dtype=np.double) - neighbour_indexes_out = np.zeros(nout * max_nneighbours, dtype=np.intc) - 1 - - flag = interpolate_weights_from( - (x_in.astype(np.double)).ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - (y_in.astype(np.double)).ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - z_in.ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - ctypes.c_int(nin), - (x_target.astype(np.double)).ctypes.data_as( - ctypes.POINTER(ctypes.c_double) - ), - (y_target.astype(np.double)).ctypes.data_as( - ctypes.POINTER(ctypes.c_double) - ), - ctypes.c_int(nout), - weights_out.ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - neighbour_indexes_out.ctypes.data_as(ctypes.POINTER(ctypes.c_int)), - ctypes.c_int(max_nneighbours), - ) - - return ( - weights_out.reshape((nout, max_nneighbours)), - neighbour_indexes_out.reshape((nout, max_nneighbours)), - ) - - def natural_interpolation(x_in, y_in, z_in, x_target, y_target): - nin = len(x_in) - nout = len(x_target) - - z_target = np.zeros(nout, dtype=np.double) - z_marker = np.zeros(nout, dtype=np.intc) - - flag = interpolate_from( - (x_in.astype(np.double)).ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - (y_in.astype(np.double)).ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - (z_in.astype(np.double)).ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - ctypes.c_int(nin), - (x_target.astype(np.double)).ctypes.data_as( - ctypes.POINTER(ctypes.c_double) - ), - (y_target.astype(np.double)).ctypes.data_as( - ctypes.POINTER(ctypes.c_double) - ), - z_target.ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - z_marker.ctypes.data_as(ctypes.POINTER(ctypes.c_int)), - ctypes.c_int(nout), - ) - - for i in range(nout): - if z_marker[i] == -1: - cloest_point_index = np.argmin( - (x_in - x_target[i]) ** 2.0 + (y_in - y_target[i]) ** 2.0 - ) - z_target[i] = z_in[cloest_point_index] - - return z_target - -except OSError: - print("natural neighbour interpolation not loaded.") - raise ImportError diff --git a/autoarray/util/nn/src/README.md b/autoarray/util/nn/src/README.md deleted file mode 100644 index 1dcddc0cc..000000000 --- a/autoarray/util/nn/src/README.md +++ /dev/null @@ -1,23 +0,0 @@ -Natural Neighbour -================= - -(Natural Neighbours interpolation) - -**nn** is a C code for Natural Neighbours interpolation of 2D scattered data. It provides a C library and a command line -utility **nnbathy**. - -Algorithmically, it was initially loosely based on the Dave Watson's description of nngridr; code-wise it is an -independent development. You may see a comparison of performance of a (rather old) version of **nn** with nngridr in - - Quanfu Fan, Alon Efrat, Vladlen Koltun, Shankar Krishnan, and Suresh - Venkatasubramanian. Hardware-assisted Natural Neighbor Interpolation. - In Proc. 7th Workshop on Algorithm Engineering and Experiments (ALENEX), 2005. - [pdf](http://nn-c.googlecode.com/files/fan05a.pdf) - -**nn** is coded for robustness (to handle degenerate data) and scalability (to handle millions of data points), subject -to using double precision calculations. For the underlying Delaunay triangulation it calls exact arithmetic code from -[triangle](http://www.cs.cmu.edu/~quake/triangle.html). From v2 it is possible to run **nnbathy** on multiple CPUs with -triangulation stored in shared memory. - - -Checkout **nn** by running `git clone https://github.com/sakov/nn-c` or `svn checkout https://github.com/sakov/nn-c`. diff --git a/autoarray/util/nn/src/nn/.indent.pro b/autoarray/util/nn/src/nn/.indent.pro deleted file mode 100644 index 8617db7fa..000000000 --- a/autoarray/util/nn/src/nn/.indent.pro +++ /dev/null @@ -1,20 +0,0 @@ ---original - -// overwrites to --original ---blank-lines-after-declarations ---blank-lines-after-procedures ---no-blank-lines-after-commas ---declaration-indentation1 ---comment-line-length78 ---dont-break-procedure-type ---dont-break-function-decl-args ---line-length999 ---pointers-to-type-definitions - // works only with the tweaked version of indent - // available from: - // http://www.marine.csiro.au/~sakov/indent-2.2.8a-mod.tar.gz ---swallow-optional-blank-lines ---no-tabs - -// add-ons for my code ---dont-format-first-column-comments // or there will be a mess diff --git a/autoarray/util/nn/src/nn/CHANGELOG b/autoarray/util/nn/src/nn/CHANGELOG deleted file mode 100644 index 8d7d20f08..000000000 --- a/autoarray/util/nn/src/nn/CHANGELOG +++ /dev/null @@ -1,108 +0,0 @@ -v. 2.0.6, 20 July 2021 - -- Got rid of redundant delaunay_getmemsize() in delaynay.c. -v. 2.0.5, 11 May 2021 - -- Added 2nd parallelisation algorithm to nnbathy.c, activated by - -DVIAFILE. -v. 2.0.4, 7 May 2021 - -- A minor correction of #if defined for NMAX in nnbathy.c. - -- Reduced MPIBUFSIZE in nnbathy.c from 4096 to 1024. This has a - marginal effect, but seems to work better for larger number of CPUs. -v. 2.0.3, 7 May 2021 - -- Tuned a bit the distribution of load in the MPI version of nnbathy. - Now the master interpolates if the number of CPUs <= 3; otherwise it - only collects and writes the results. -v. 2.0.2, 7 May 2021 - -- Corrected defect in MPI section of nnbathy.c. -v. 2.0.1, 5 May 2021 - -- Added fflush() to points_write(), which seems to be the problem with - large number of CPUs. -v. 2.0.0, 5 May 2021 - -- Quite a few structural changes. Split `struct delaunay' into - `struct delaunay' and `struct dsearch'. - -- Put some MPI code into delaunay.c and nnbathy.c. See README and - examples/2/README for details. It targets (but not limited to) very - large datasets. In particular, it puts the triangulation into shared - memory. This shared memory functionality of MPI3 can be stripped by - compiling without -DUSE_SHMEM. -v. 1.86.2, 8 June 2017 - -- Minor portability realated changes in hash.[ch] - -- A minor change in makefile -v. 1.86.1, 24 November 2016 - -- Some internal changes in hash.c. -v. 1.86.0, 14 March 2016 - -- A minor modification in an attempt to alleviate a potential - exception in the degenerate case. Not thoroughly tested yet. -v. 1.85.1, 25 Sep 2015 - -- Replaced points_generate2() by points_generate(), seems to work. - This eliminates compilation error for target "tests" -- thanks to - @ocefpaf for the report. -v. 1.85, 1 May 2012 - -- A change in nan.h to distinguish between gcc and icc -v. 1.84, 25 January 2012 - -- Cosmetic: modified descriptions of nnai and nnhpi. -v. 1.83, 19 January 2012 - -- A cosmetic change to avoid compiler warning for delaunay.c - -- Another cosmetic change - updated the list of structure names to be - recognised by `indent' when running "make indent" -v. 1.82, 12 May 2010 - -- Modified "configure" to check whether compiler option - "-fno-force-mem" is supported. -v. 1.81, 29 May 2009 - -- Added flag NN_SERIAL to the default compiler options for building - nnbathy. -v. 1.80, 12 December 2008 - -- Changed the license for compatibility with GPL. Added the file - LICENSE. -v. 1.79, 24 September 2008 - -- Fixed some minor deficiencies in `minell' - thanks to Glen Low for - the bug report and extensive testing. This fix does not affect - performance of `nn'. -v. 1.78, 18 January 2008 - -- Modified Matlab code in the examples to take care of what seems to - be a new behaviour of RANGE function. -v. 1.77, 19 November 2007 - -- Reduced writing the % of the job completed to stderr to the instances - when the reported value has actually changed (with the precision of - 0.1%). -v. 1.76, 16 November 2007 - -- Fixed a defect in nnpi_calculate_weights() that caused double - deallocation in some rare cases (a degenerate point on the convex - hall). Thanks for Maciek Sieczka for reporting this bug. -v. 1.75, 30 October 2007 - -- Modified delaunay_circles_find() and nnpi_reset(). Got rid of the - non-scalable stuff that slowed down processing of big datasets. - Many thanks to John Gerschwitz, Petroleum Geo-Services, for finding - this defect. -v. 1.74, 30 October 2007 - -- Modified treatment of degenerate cases in nnpi_triangle_process(), - many thanks to John Gerschwitz, Petroleum Geo-Services, for exposing - the defect introduced in v. 1.69. Changed EPS_SAME from 1.0e-15 to - 1.0e-8. A number of cosmetic changes. -v. 1.73, 5 July 2007 - -- Removed functional code from within assert()s, which caused problems - for production builds on Visual Studio. Thanks to Alok Saldanha for - reporting this defect. -v. 1.72, 4 July 2007 - -- Moved division by "denom" in circle_build2() and circle_build1() to - after the check on denom == 0; otherwise division on 0 raised - exception on some systems. Thanks to Alok Saldanha for reporting this - bug. -v. 1.71, 17 January 2007 - -- Made the test on whether an output point exactly coincides with - an input point in nnpi_triangle_process() approximate. -v. 1.70, 24 November 2006 - -- Added example 6. -v. 1.69, 22 November 2006 - -- Substantial changes in processing of the degenerate case for Sibson - interpolation. This is the case when an interpolation point is close - to being in between data points. It is no longer handled by a pair - of symmetric displacements of this point; instead, the center of the - corresponding circumcircle is moved elsewhere in a specific way. -v. 1.68, 28 September 2006 - -- Edited README -v. 1.67, 30 August 2006 - -- Introduced -% option (available only when built with -DNN_SERIAL) -v. 1.66, 26 June 2006 - -- Introduced this file - -- Fixed error in reading the command-line input after "-L" - -- Made a few cosmetic changes diff --git a/autoarray/util/nn/src/nn/CUSTOMISE b/autoarray/util/nn/src/nn/CUSTOMISE deleted file mode 100644 index 278c1f04f..000000000 --- a/autoarray/util/nn/src/nn/CUSTOMISE +++ /dev/null @@ -1,46 +0,0 @@ -# This file is for customizing the configuation process performed by -# `./configure'. This file consists of sh(1) variable-definition lines. -# The value given to those variables by this file will override their default -# values. -# -# Be sure to test whether the variable doesn't exists before setting it. -# -# You can also customize the configuration process via the environment -# variables seen by ./configure. For example: -# -# In csh(1): -# % setenv CC acc -# & setenv CFLAGS -g -# % ./configure -# -# In sh(1) or ksh(1): -# $ CC=acc CFLAGS=-g ./configure -# -# Variables in this file override the environmental ones. -# -############################################################################# - -# C compiler -if [ -z "$CC" ]; then - CC=gcc -fi - -# C compiler flags -if [ -z "$CFLAGS" ]; then - CFLAGS="-g -O2 -Wall -pedantic -D_GNU_SOURCE -std=c99" -fi - -CFLAGS_TRIANGLE="-O2 -w -ffloat-store" -CFLAGS_VULNERABLE="-ffloat-store" - -# Installation prefix (default is /usr/local) -if [ "${prefix}" = "NONE" ]; then - prefix=/usr/local -fi - -if [ "${libdir}" = "\${exec_prefix}/lib" ]; then - libdir="${prefix}/lib${LIBEXT}" -fi - -echo "Using prefix ${prefix}" -echo "Using libdir ${libdir}" diff --git a/autoarray/util/nn/src/nn/LICENSE b/autoarray/util/nn/src/nn/LICENSE deleted file mode 100644 index dc21c32e2..000000000 --- a/autoarray/util/nn/src/nn/LICENSE +++ /dev/null @@ -1,24 +0,0 @@ -Copyright (C) 2000-2008 Pavel Sakov and CSIRO - -Redistribution and use of material from the package `nn', with or without -modification, are permitted provided that the following conditions are -met: - - 1. Redistributions of material must retain the above copyright notice, this - list of conditions and the following disclaimer. - 2. The names of the authors may not be used to endorse or promote products - derived from this software without specific prior written permission. - -THIS SOFTWARE IS PROVIDED BY THE AUTHORS ``AS IS'' AND ANY EXPRESS OR IMPLIED -WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF -MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO -EVENT SHALL THE AUTHORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, -EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT -OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS -INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN -CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING -IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY -OF SUCH DAMAGE. - -Note: this software makes use of the Triangle software, which is non-free for -commercial use. See the triangle.c and triangle.h files for details. diff --git a/autoarray/util/nn/src/nn/README b/autoarray/util/nn/src/nn/README deleted file mode 100644 index b1c7d6aeb..000000000 --- a/autoarray/util/nn/src/nn/README +++ /dev/null @@ -1,90 +0,0 @@ -nn -Natural Neighbours interpolation library -Version 1.86 - -Provides Natural Neighbours interpolation library "libnn.a" and a command line -Natural Neighbours interpolation utility "nnbathy". - -`nn' is a free software. See LICENSE for details. - -(Note that however that `triangle' is not a free softwre.) - -Please send comments and bugs to Pavel.Sakovgmail.com . - - -1. This code has been developed and used mainly on pc-linux platform, however, -it should compile on other platforms. Beware that the configure script -currently does not do much more than a couple of checks. It should be viewed -rather as a prototype for the future than a multi-platform configuration tool. - -`nn' was initially based on the Dave Watson's `nngridr'. Over time, there were -numerous improvements of this original version. You may see comparison of -performance of a rather old version `nn' with `nngridr' in - - Quanfu Fan, Alon Efrat, Vladlen Koltun, Shankar Krishnan, and - Suresh Venkatasubramanian. Hardware-assisted Natural Neighbor Interpolation. - In Proc. 7th Workshop on Algorithm Engineering and Experiments (ALENEX), 2005. - -Note that the current version of `nn' outperforms the version tested in the -above paper both in terms of scalability and robustness. - - -2. To compile, run: - -configure -make -(make install) - -For a few quick tests, run: - -make tests -./nnphi_test -./nnai_test -./ht_test - -From v2.0.0 some MPI code has been added to delaunay.c and nnbathy.c. To compile -it change "MPI = no" in the makefile to "MPI = yes". To test MPI code run -"make mpi" and "make cmp" in examples/2. - -3. Apart from the `nn' library, this code contains `nnbathy' -- a simple -interpolation utility/example based on `nn'. - -Initially, `nnbathy' has been introduced to provide an example of using library -functions from `nn'. Later, evolving along with user requests, it became a quite -functional command-line utility. - - -4. There are a number of examples of using `nnbathy' in "examples" directory: - -examples/1 -- reconstruction of Franke test function -examples/2 -- reconstruction of bathymetry from sonar data -examples/3 -- performance on degenerate data -examples/4 -- reconstruction of topography from satellite altimeter data -examples/5 -- reconstruction of topography from digitised contours -examples/6 -- reconstruction of topography from digitised contours - -These examples has been put up over a a number of years. Some of them used to -cause failures for the older versions of the code. See examples/README for -descriptions. - - -5. Calling `nn' code from a client code is supposed to be straightforward and -simple. Have a look at nnbathy.c for an example. For a basic description of -structures and functions available from `nn', have a look at "nn.h". - - -6. Acknowledgments: - -This library uses the following public code/algorithms: - 1. `triangle' by Jonathan Richard Shewchuk -- for Delaunay triangulation; - 2. Dave Watson's algorithm for Sibson interpolation; - 3. Belikov and Semenov's formulas for non-Sibsonian interpolation. - -Many thanks to David A. Paige, Maciek Sieczka, Nick Cahill and John Gerschwitz -for submitting bug reports and/or data for examples. - - -7. Please acknowledge the use of this software in publications. - -Good luck! -Pavel Sakov diff --git a/autoarray/util/nn/src/nn/config.h.in b/autoarray/util/nn/src/nn/config.h.in deleted file mode 100644 index 6a4831062..000000000 --- a/autoarray/util/nn/src/nn/config.h.in +++ /dev/null @@ -1,8 +0,0 @@ -#if defined(_WIN32) -#define isnan _isnan -#define copysign _copysign -#define rint (int) -#define M_PI 3.14159265358979323846 -#define TRILIBRARY -#define NO_TIMER -#endif diff --git a/autoarray/util/nn/src/nn/configure b/autoarray/util/nn/src/nn/configure deleted file mode 100644 index f3158eabb..000000000 --- a/autoarray/util/nn/src/nn/configure +++ /dev/null @@ -1,4839 +0,0 @@ -#! /bin/sh -# Guess values for system-dependent variables and create Makefiles. -# Generated by GNU Autoconf 2.69. -# -# -# Copyright (C) 1992-1996, 1998-2012 Free Software Foundation, Inc. -# -# -# This configure script is free software; the Free Software Foundation -# gives unlimited permission to copy, distribute and modify it. -## -------------------- ## -## M4sh Initialization. ## -## -------------------- ## - -# Be more Bourne compatible -DUALCASE=1; export DUALCASE # for MKS sh -if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : - emulate sh - NULLCMD=: - # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which - # is contrary to our usage. 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This saves - * memory and is consistent with libcsa. - * 30/10/2007 PS: added delaunay_addflag() and - * delaunay_resetflags(); modified delaunay_circles_find() - * to reset the flags to 0 on return. This is very important - * for large datasets, many thanks to John Gerschwitz, - * Petroleum Geo-Services, for identifying the problem. - * 05/05/2021 PS: added MPI code. - * - *****************************************************************************/ - -#define ANSI_DECLARATORS /* for triangle.h */ - -#include -#include -#include -#include -#include -#include -#include -#include "triangle.h" -#include "istack_internal.h" -#include "nan.h" -#include "nn.h" -#include "nncommon.h" -#include "delaunay_internal.h" - -#if defined(MPI) -#include - -int nprocesses = 1; -int rank = 0; - -#if defined(USE_SHMEM) -/* - * "sm" stands for "shared memory" - */ -MPI_Comm sm_comm = MPI_COMM_NULL; -int sm_comm_rank = -1; -int sm_comm_size = 0; -#endif -extern int make_iso_compilers_happy; -#endif /* MPI */ - -/* - * This parameter is used in search of tricircles containing a given point: - * if there are no more triangles than N_SEARCH_TURNON - * do linear search - * else - * do more complicated stuff - */ -#define N_SEARCH_TURNON 20 -#define N_FLAGS_TURNON 1000 -#define N_FLAGS_INC 100 - -static void tio_init(struct triangulateio* tio) -{ - tio->pointlist = NULL; - tio->pointattributelist = NULL; - tio->pointmarkerlist = NULL; - tio->numberofpoints = 0; - tio->numberofpointattributes = 0; - tio->trianglelist = NULL; - tio->triangleattributelist = NULL; - tio->trianglearealist = NULL; - tio->neighborlist = NULL; - tio->numberoftriangles = 0; - tio->numberofcorners = 0; - tio->numberoftriangleattributes = 0; - tio->segmentlist = 0; - tio->segmentmarkerlist = NULL; - tio->numberofsegments = 0; - tio->holelist = NULL; - tio->numberofholes = 0; - tio->regionlist = NULL; - tio->numberofregions = 0; - tio->edgelist = NULL; - tio->edgemarkerlist = NULL; - tio->normlist = NULL; - tio->numberofedges = 0; -} - -static void tio_destroy(struct triangulateio* tio) -{ - if (tio->pointlist != NULL) - free(tio->pointlist); - if (tio->pointattributelist != NULL) - free(tio->pointattributelist); - if (tio->pointmarkerlist != NULL) - free(tio->pointmarkerlist); - if (tio->trianglelist != NULL) - free(tio->trianglelist); - if (tio->triangleattributelist != NULL) - free(tio->triangleattributelist); - if (tio->trianglearealist != NULL) - free(tio->trianglearealist); - if (tio->neighborlist != NULL) - free(tio->neighborlist); - if (tio->segmentlist != NULL) - free(tio->segmentlist); - if (tio->segmentmarkerlist != NULL) - free(tio->segmentmarkerlist); - if (tio->holelist != NULL) - free(tio->holelist); - if (tio->regionlist != NULL) - free(tio->regionlist); - if (tio->edgelist != NULL) - free(tio->edgelist); - if (tio->edgemarkerlist != NULL) - free(tio->edgemarkerlist); - if (tio->normlist != NULL) - free(tio->normlist); -} - -static delaunay* delaunay_create() -{ - delaunay* d = calloc(1, sizeof(delaunay)); - - d->xmin = DBL_MAX; - d->xmax = -DBL_MAX; - d->ymin = DBL_MAX; - d->ymax = -DBL_MAX; - - return d; -} - -static void tio2delaunay(struct triangulateio* tio, delaunay* d, void* data) -{ - int i, j; - - if (tio != NULL) { - - /* - * I assume that all input points appear in tio in the same order - * as they were written to tio_in. I have seen no exceptions so far, - * even if duplicate points were presented. Just in case, let us make - * a couple of checks. - */ - assert(tio->numberofpoints == d->npoints); - assert(tio->pointlist[2 * d->npoints - 2] == d->points[d->npoints - 1].x && tio->pointlist[2 * d->npoints - 1] == d->points[d->npoints - 1].y); - - d->ntriangles = tio->numberoftriangles; - d->nedges = tio->numberofedges; - } -#if defined(USE_SHMEM) - MPI_Bcast(&d->ntriangles, 1, MPI_INT, 0, MPI_COMM_WORLD); - MPI_Bcast(&d->nedges, 1, MPI_INT, 0, MPI_COMM_WORLD); -#endif - - d->triangles = data; - d->neighbours = (triangle_neighbours*) &d->triangles[d->ntriangles]; - d->circles = (circle*) &d->neighbours[d->ntriangles]; - d->n_point_triangles = (int*) &d->circles[d->ntriangles]; - d->point_triangles_offset = (int*) &d->n_point_triangles[d->npoints]; - d->point_triangles = (int*) &d->point_triangles_offset[d->npoints]; - d->edges = &d->point_triangles[d->ntriangles * 3]; - - if (tio != NULL) { - if (nn_verbose) - fprintf(stderr, "triangles:\n"); - for (i = 0; i < d->ntriangles; ++i) { - int offset = i * 3; - triangle* t = &d->triangles[i]; - triangle_neighbours* n = &d->neighbours[i]; - circle* c = &d->circles[i]; - int status; - - t->vids[0] = tio->trianglelist[offset]; - t->vids[1] = tio->trianglelist[offset + 1]; - t->vids[2] = tio->trianglelist[offset + 2]; - - n->tids[0] = tio->neighborlist[offset]; - n->tids[1] = tio->neighborlist[offset + 1]; - n->tids[2] = tio->neighborlist[offset + 2]; - - status = circle_build1(c, &d->points[t->vids[0]], &d->points[t->vids[1]], &d->points[t->vids[2]]); - assert(status); - - if (nn_verbose) - fprintf(stderr, " %d: (%d,%d,%d)\n", i, t->vids[0], t->vids[1], t->vids[2]); - } - - for (i = 0; i < d->ntriangles; ++i) { - triangle* t = &d->triangles[i]; - - for (j = 0; j < 3; ++j) - d->n_point_triangles[t->vids[j]]++; - } - for (i = 1; i < d->npoints; ++i) - d->point_triangles_offset[i] = d->point_triangles_offset[i - 1] + d->n_point_triangles[i - 1]; - memset(d->n_point_triangles, 0, d->npoints * sizeof(int)); - - for (i = 0; i < d->ntriangles; ++i) { - triangle* t = &d->triangles[i]; - - for (j = 0; j < 3; ++j) { - int vid = t->vids[j]; - - d->point_triangles[d->point_triangles_offset[vid] + d->n_point_triangles[vid]] = i; - d->n_point_triangles[vid]++; - } - } - memcpy(d->edges, tio->edgelist, d->nedges * 2 * sizeof(int)); - } -#if defined(USE_SHMEM) - MPI_Win_fence(0, d->sm_win_delaunaydata); - MPI_Barrier(sm_comm); -#endif -} - -static size_t delaunay_getdatasize(struct triangulateio* tio) -{ - return tio->numberoftriangles * (sizeof(triangle) + sizeof(triangle_neighbours) + sizeof(circle) + sizeof(int) * 3) + tio->numberofpoints * sizeof(int) * 2 + tio->numberofedges * sizeof(int) * 2; -} - -/* Builds Delaunay triangulation of the given array of points. - * - * @param np Number of points - * @param points Array of points [np] (input) - * @param ns Number of forced segments - * @param segments Array of (forced) segment endpoint indices [2*ns] - * @param nh Number of holes - * @param holes Array of hole (x,y) coordinates [2*nh] - * @return Delaunay triangulation structure with triangulation results - */ -delaunay* delaunay_build(int np, point points[], int ns, int segments[], int nh, double holes[]) -{ - delaunay* d = NULL; - struct triangulateio tio_in; - struct triangulateio tio_out; - int i, j; - -#if defined(USE_SHMEM) - int ntriangles; - - if (sm_comm_rank == 0) { -#endif - char cmd[64] = "eznC"; - - if (np == 0) - return NULL; - - assert(sizeof(REAL) == sizeof(double)); - - tio_init(&tio_in); - tio_in.pointlist = malloc(np * 2 * sizeof(double)); - tio_in.numberofpoints = np; - for (i = 0, j = 0; i < np; ++i) { - tio_in.pointlist[j++] = points[i].x; - tio_in.pointlist[j++] = points[i].y; - } - - if (ns > 0) { - tio_in.segmentlist = malloc(ns * 2 * sizeof(int)); - tio_in.numberofsegments = ns; - memcpy(tio_in.segmentlist, segments, ns * 2 * sizeof(int)); - } - - if (nh > 0) { - tio_in.holelist = malloc(nh * 2 * sizeof(double)); - tio_in.numberofholes = nh; - memcpy(tio_in.holelist, holes, nh * 2 * sizeof(double)); - } - - tio_init(&tio_out); - - if (!nn_verbose) - strcat(cmd, "Q"); - else if (nn_verbose > 1) - strcat(cmd, "VV"); - if (ns != 0) - strcat(cmd, "p"); - - if (nn_verbose) - fflush(stderr); - - /* - * climax - */ - triangulate(cmd, &tio_in, &tio_out, NULL); - - if (nn_verbose) - fflush(stderr); - -#if defined(USE_SHMEM) - ntriangles = tio_out.numberoftriangles; - } - (void) MPI_Bcast(&ntriangles, 1, MPI_INT, 0, MPI_COMM_WORLD); - if (ntriangles == 0) - goto finish; -#endif - -#if !defined(USE_SHMEM) - if (tio_out.numberoftriangles == 0) - goto finish; -#endif - - d = delaunay_create(); - d->npoints = np; - d->points = points; /* (shallow copy) */ - for (i = 0, j = 0; i < np; ++i) { - point* p = &points[i]; - - if (p->x < d->xmin) - d->xmin = p->x; - if (p->x > d->xmax) - d->xmax = p->x; - if (p->y < d->ymin) - d->ymin = p->y; - if (p->y > d->ymax) - d->ymax = p->y; - } - -#if defined(USE_SHMEM) - if (sm_comm_rank == 0) { -#endif - if (nn_verbose) { - fprintf(stderr, "input:\n"); - for (i = 0, j = 0; i < d->npoints; ++i) { - point* p = &d->points[i]; - - fprintf(stderr, " %d: %15.7g %15.7g %15.7g\n", i, p->x, p->y, p->z); - } - } -#if defined(USE_SHMEM) - } -#endif - - { - size_t size = 0; - void* data = NULL; - -#if !defined(USE_SHMEM) - size = delaunay_getdatasize(&tio_out); - data = calloc(1, size); -#else - if (rank == 0) { - size = delaunay_getdatasize(&tio_out); - assert(sizeof(size_t) == sizeof(MPI_UNSIGNED_LONG)); - } - (void) MPI_Bcast(&size, 1, MPI_UNSIGNED_LONG, 0, MPI_COMM_WORLD); - - (void) MPI_Win_allocate_shared((sm_comm_rank == 0) ? size : 0, sizeof(char), MPI_INFO_NULL, sm_comm, &data, &d->sm_win_delaunaydata); - if (sm_comm_rank == 0) { - memset(data, 0, size); - if (nn_verbose) - fprintf(stderr, " MPI: put %u bytes of triangulation data into shared memory\n", (unsigned int) size); - } else { - int disp_unit; - MPI_Aint my_size; - - MPI_Win_shared_query(d->sm_win_delaunaydata, 0, &my_size, &disp_unit, &data); - assert(my_size == size); - assert(disp_unit == sizeof(char)); - assert(data != NULL); - } - MPI_Win_fence(0, d->sm_win_delaunaydata); - MPI_Barrier(sm_comm); -#endif - -#if defined(USE_SHMEM) - if (sm_comm_rank == 0) -#endif - tio2delaunay(&tio_out, d, data); -#if defined(USE_SHMEM) - else - tio2delaunay(NULL, d, data); -#endif - } - - finish: -#if defined(USE_SHMEM) - if (sm_comm_rank == 0) { -#endif - tio_destroy(&tio_in); - tio_destroy(&tio_out); -#if defined(USE_SHMEM) - } -#endif - - return d; -} - -/** Destroys Delaunay triangulation. - * - * @param d Structure to be destroyed - */ -void delaunay_destroy(delaunay* d) -{ - if (d == NULL) - return; - -#if !defined(USE_SHMEM) - if (d->triangles != NULL) - free(d->triangles); -#else - MPI_Win_free(&d->sm_win_delaunaydata); -#endif - free(d); -} - -/** - */ -dsearch* dsearch_build(delaunay* d) -{ - dsearch* ds = calloc(1, sizeof(dsearch)); - - ds->d = d; - ds->first_id = -1; - if (d->ntriangles > 0) - ds->flags = calloc(d->ntriangles, sizeof(int)); - - return ds; -} - -/** - */ -void dsearch_destroy(dsearch* ds) -{ - if (ds->flags != NULL) - free(ds->flags); - if (ds->t_in != NULL) - istack_destroy(ds->t_in); - if (ds->t_out != NULL) - istack_destroy(ds->t_out); - if (ds->flagids != NULL) - free(ds->flagids); - free(ds); -} - -/* Returns whether the point p is on the right side of the vector (p0, p1). - */ -static int onrightside(point* p, point* p0, point* p1) -{ - return (p1->x - p->x) * (p0->y - p->y) > (p0->x - p->x) * (p1->y - p->y); -} - -/* Finds triangle specified point belongs to (if any). - * - * @param d Delaunay triangulation - * @param p Point to be mapped - * @param seed Triangle index to start with - * @return Triangle id if successful, -1 otherwhile - */ -int delaunay_xytoi(delaunay* d, point* p, int id) -{ - triangle* t; - int i; - - if (p->x < d->xmin || p->x > d->xmax || p->y < d->ymin || p->y > d->ymax) - return -1; - - if (id < 0 || id > d->ntriangles) - id = 0; - t = &d->triangles[id]; - do { - for (i = 0; i < 3; ++i) { - int i1 = (i + 1) % 3; - - if (onrightside(p, &d->points[t->vids[i]], &d->points[t->vids[i1]])) { - id = d->neighbours[id].tids[(i + 2) % 3]; - if (id < 0) - return id; - t = &d->triangles[id]; - break; - } - } - } while (i < 3); - - return id; -} - -static void dsearch_addflag(dsearch* ds, int i) -{ - if (ds->nflags == ds->nflagsallocated) { - ds->nflagsallocated += N_FLAGS_INC; - ds->flagids = realloc(ds->flagids, ds->nflagsallocated * sizeof(int)); - } - ds->flagids[ds->nflags] = i; - ds->nflags++; -} - -static void dsearch_resetflags(dsearch* ds) -{ - int i; - - for (i = 0; i < ds->nflags; ++i) - ds->flags[ds->flagids[i]] = 0; - ds->nflags = 0; -} - -/** Find all tricircles specified point belongs to. - * - * @param ds `dsearch' structure - * @param p Point to be mapped - * @param n Pointer to the number of tricircles within `d' containing `p' - * (output) - * @param out Pointer to an array of indices of the corresponding triangles - * [n] (output) - * - * There is a standard search procedure involving search through triangle - * neighbours (not through vertex neighbours). It must be a bit faster due to - * the smaller number of triangle neighbours (3 per triangle) but may fail - * for a point outside convex hall. - * - * We may wish to modify this procedure in future: first check if the point - * is inside the convex hall, and depending on that use one of the two - * search algorithms. It not 100% clear though whether this will lead to a - * substantial speed gains because of the check on convex hall involved. - */ -void dsearch_circles_find(dsearch* ds, point* p, int* n, int** out) -{ - delaunay* d = ds->d; - - /* - * This flag was introduced as a hack to handle some degenerate cases. It - * is set to 1 only if the triangle associated with the first circle is - * already known to contain the point. In this case the circle is assumed - * to contain the point without a check. In my practice this turned - * useful in some cases when point p coincided with one of the vertices - * of a thin triangle. - */ - int contains = 0; - int i; - - if (ds->t_in == NULL) { - ds->t_in = istack_create(); - ds->t_out = istack_create(); - } - - /* - * if there are only a few data points, do linear search - */ - if (d->ntriangles <= N_SEARCH_TURNON) { - istack_reset(ds->t_out); - - for (i = 0; i < d->ntriangles; ++i) { - if (circle_contains(&d->circles[i], p)) { - istack_push(ds->t_out, i); - } - } - - *n = ds->t_out->n; - *out = ds->t_out->v; - - return; - } - /* - * otherwise, do a more complicated stuff - */ - - /* - * It is important to have a reasonable seed here. If the last search - * was successful -- start with the last found tricircle, otherwhile (i) - * try to find a triangle containing p; if fails then (ii) check - * tricircles from the last search; if fails then (iii) make linear - * search through all tricircles - */ - if (ds->first_id < 0 || !circle_contains(&d->circles[ds->first_id], p)) { - /* - * if any triangle contains p -- start with this triangle - */ - ds->first_id = delaunay_xytoi(d, p, ds->first_id); - contains = (ds->first_id >= 0); - - /* - * if no triangle contains p, there still is a chance that it is - * inside some of circumcircles - */ - if (ds->first_id < 0) { - int nn = ds->t_out->n; - int tid = -1; - - /* - * first check results of the last search - */ - for (i = 0; i < nn; ++i) { - tid = ds->t_out->v[i]; - if (circle_contains(&d->circles[tid], p)) - break; - } - /* - * if unsuccessful, search through all circles - */ - if (tid < 0 || i == nn) { - double nt = d->ntriangles; - - for (tid = 0; tid < nt; ++tid) { - if (circle_contains(&d->circles[tid], p)) - break; - } - if (tid == nt) { - istack_reset(ds->t_out); - *n = 0; - *out = NULL; - return; /* failed */ - } - } - ds->first_id = tid; - } - } - - istack_reset(ds->t_in); - istack_reset(ds->t_out); - - istack_push(ds->t_in, ds->first_id); - ds->flags[ds->first_id] = 1; - dsearch_addflag(ds, ds->first_id); - - /* - * main cycle - */ - while (ds->t_in->n > 0) { - int tid = istack_pop(ds->t_in); - triangle* t = &d->triangles[tid]; - - if (contains || circle_contains(&d->circles[tid], p)) { - istack_push(ds->t_out, tid); - for (i = 0; i < 3; ++i) { - int vid = t->vids[i]; - int nt = d->n_point_triangles[vid]; - int j; - - for (j = 0; j < nt; ++j) { - int ntid = d->point_triangles[d->point_triangles_offset[vid] + j]; - - if (ds->flags[ntid] == 0) { - istack_push(ds->t_in, ntid); - ds->flags[ntid] = 1; - dsearch_addflag(ds, ntid); - } - } - } - } - contains = 0; - } - - *n = ds->t_out->n; - *out = ds->t_out->v; - dsearch_resetflags(ds); -} diff --git a/autoarray/util/nn/src/nn/delaunay.h b/autoarray/util/nn/src/nn/delaunay.h deleted file mode 100644 index 53a78f48f..000000000 --- a/autoarray/util/nn/src/nn/delaunay.h +++ /dev/null @@ -1,56 +0,0 @@ -/****************************************************************************** - * - * File: delaunay.h - * - * Created: 04/08/2000 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: Header for delaunay triangulation wrapper - * - * Description: None - * - * Revisions: 30/10/2007 PS: Added fields nflags, nflagsallocated and - * flagids for flag accounting, to make it possible to reset - * only engaged flags rather than the whole array. - * - *****************************************************************************/ - -#if !defined(_DELAUNAY_H) -#define _DELAUNAY_H - -typedef struct { - int vids[3]; -} triangle; - -typedef struct { - int tids[3]; -} triangle_neighbours; - -#if !defined(_STRUCT_DELAUNAY) -#define _STRUCT_DELAUNAY -struct delaunay; -typedef struct delaunay delaunay; -#endif - -delaunay* delaunay_build(int np, point points[], int ns, int segments[], int nh, double holes[]); -void delaunay_destroy(delaunay* d); - -#if defined(MPI) -#include - -extern int nprocesses; -extern int rank; - -#if defined(USE_SHMEM) -/* - * "sm" stands for "shared memory" - */ -extern MPI_Comm sm_comm; -extern int sm_comm_rank; -extern int sm_comm_size; -#endif -#endif - -#endif diff --git a/autoarray/util/nn/src/nn/delaunay_internal.h b/autoarray/util/nn/src/nn/delaunay_internal.h deleted file mode 100644 index 3109c5501..000000000 --- a/autoarray/util/nn/src/nn/delaunay_internal.h +++ /dev/null @@ -1,85 +0,0 @@ -/****************************************************************************** - * - * File: delaunay_internal.h - * - * Created: 05/05/2021 - * - * Author: Pavel Sakov - * BoM - * - * Purpose: Internal header for delaunay triangulation. - * - * Description: Internal header for delaunay triangulation. - * Revisions: - * - *****************************************************************************/ - -#if !defined(_DELAUNAY_INTERNAL_H) -#define _DELAUNAY_INTERNAL_H - -#if defined(MPI) -#include -#endif -#include "istack.h" -#include "delaunay.h" - -/** Structure to perform the Delaunay triangulation of a given array of points. - * - * Contains a deep copy of the input array of points. - * Contains triangles, circles and edges resulted from the triangulation. - * Contains neighbour triangles for each triangle. - * Contains point to triangle map. - */ -struct delaunay { - int npoints; - point* points; - double xmin; - double xmax; - double ymin; - double ymax; - - int ntriangles; - int nedges; - - triangle* triangles; - circle* circles; - triangle_neighbours* neighbours; /* for delaunay_xytoi() */ - int* n_point_triangles; /* n_point_triangles[i] is number of - * triangles i-th point belongs to */ - int* point_triangles_offset; - int* point_triangles; /* point_triangles[point_triangles_offset[i] - * + j] is the index of j-th triangle i-th - * point belongs to */ - int* edges; /* n-th edge is formed by points[edges[n*2]] - * and points[edges[n*2+1]] */ - -#if defined(USE_SHMEM) - MPI_Win sm_win_delaunaydata; -#endif -}; - -typedef struct { - delaunay* d; - - int ntriangles; - int* flags; - int first_id; /* last search result, used in start up of a - * new search */ - istack* t_in; - istack* t_out; - - /* - * to keep track of flags set to 1 in the case of very large data sets - */ - int nflags; - int nflagsallocated; - int* flagids; -} dsearch; - -int delaunay_xytoi(delaunay* d, point* p, int seed); - -dsearch* dsearch_build(delaunay* d); -void dsearch_destroy(dsearch* ds); -void dsearch_circles_find(dsearch* d, point* p, int* n, int** out); - -#endif /* _DELAUNAY_INTERNAL_H */ diff --git a/autoarray/util/nn/src/nn/distribute.c b/autoarray/util/nn/src/nn/distribute.c deleted file mode 100644 index 064a1c610..000000000 --- a/autoarray/util/nn/src/nn/distribute.c +++ /dev/null @@ -1,124 +0,0 @@ -/****************************************************************************** - * - * File: distribute.c - * - * Created: 12/2012 - * - * Author: Pavel Sakov - * Bureau of Meteorology - * - * Description: Distributes indices in the interval [i1, i2] between `nproc' - * processes. Process IDs are assumed to be in the interval - * [0, nproc-1]. The calling process has ID `rank'. The results - * are stored in 6 global variables, with the following relations - * between them: - * my_number_of_iterations = my_last_iteration - * - my_first_iteration + 1 - * my_number_of_iterations = number_of_iterations[rank] - * my_first_iteration = first_iteratin[rank] - * my_last_iteration = last_iteration[rank] - * - * Revisions: 18/04/2018 PS: `nproc' was supposed to be an alias for - * `nprocesses'; now it can be arbitrary number such that - * 0 < nproc < nprocesses. - * - *****************************************************************************/ - -#include -#include -#include -#include -#include -#if defined(MPI) -#include -#endif -#include "distribute.h" - -int my_number_of_iterations = -1; -int my_first_iteration = -1; -int my_last_iteration = -1; -int* number_of_iterations = NULL; -int* first_iteration = NULL; -int* last_iteration = NULL; - -/** Distributes indices in the interval [i1, i2] between `nproc' processes. - * @param i1 Start of the interval - * @param i2 End of the interval - * @param nproc Number of processes (CPUs) to be be used - * @param myrank ID of the process - * @param prefix Prefix for log printing; NULL to print no log. - * Note that `nprocesses' and `rank' are supposed to be external (global) - * variables. - */ -void distribute_iterations(int i1, int i2, int nproc, int myrank) -{ - int n, npp, i; - -#if defined(MPI) - fflush(stdout); - MPI_Barrier(MPI_COMM_WORLD); -#endif - assert(i2 >= i1); - - if (number_of_iterations == NULL) { - number_of_iterations = malloc(nprocesses * sizeof(int)); - first_iteration = malloc(nprocesses * sizeof(int)); - last_iteration = malloc(nprocesses * sizeof(int)); - } -#if defined(MPI) - MPI_Barrier(MPI_COMM_WORLD); -#endif - - assert(nproc > 0 && nproc <= nprocesses); - - n = i2 - i1 + 1; - npp = n / nproc; - if (n % nproc == 0) { - for (i = 0; i < nproc; ++i) - number_of_iterations[i] = npp; - } else { - int j = n - nproc * npp; - - for (i = 0; i < j; ++i) - number_of_iterations[i] = npp + 1; - for (i = j; i < nproc; ++i) - number_of_iterations[i] = npp; - } - for (i = nproc; i < nprocesses; ++i) - number_of_iterations[i] = 0; -#if defined(MPI) - MPI_Barrier(MPI_COMM_WORLD); -#endif - - first_iteration[0] = i1; - last_iteration[0] = i1 + number_of_iterations[0] - 1; - for (i = 1; i < nproc; ++i) { - first_iteration[i] = last_iteration[i - 1] + 1; - last_iteration[i] = first_iteration[i] + number_of_iterations[i] - 1; - } - for (i = nproc; i < nprocesses; ++i) { - first_iteration[i] = last_iteration[i - 1] + 1; - last_iteration[i] = first_iteration[i] + number_of_iterations[i] - 1; - } - - my_first_iteration = first_iteration[myrank]; - my_last_iteration = last_iteration[myrank]; - my_number_of_iterations = number_of_iterations[myrank]; -} - -/** - */ -void distribute_free(void) -{ - if (number_of_iterations == NULL) - return; - free(number_of_iterations); - number_of_iterations = NULL; - free(first_iteration); - first_iteration = NULL; - free(last_iteration); - last_iteration = NULL; - my_number_of_iterations = -1; - my_first_iteration = -1; - my_last_iteration = -1; -} diff --git a/autoarray/util/nn/src/nn/distribute.h b/autoarray/util/nn/src/nn/distribute.h deleted file mode 100644 index 5b90caad2..000000000 --- a/autoarray/util/nn/src/nn/distribute.h +++ /dev/null @@ -1,31 +0,0 @@ -/****************************************************************************** - * - * File: distribute.h - * - * Created: 12/2012 - * - * Author: Pavel Sakov - * Bureau of Meteorology - * - * Description: - * - * Revisions: - * - *****************************************************************************/ - -#if !defined(_DISTRIBUTE_H) - -extern int nprocesses; -extern int rank; -extern int my_number_of_iterations; -extern int my_first_iteration; -extern int my_last_iteration; -extern int* number_of_iterations; -extern int* first_iteration; -extern int* last_iteration; - -void distribute_iterations(int i1, int i2, int nproc, int rank); -void distribute_free(void); - -#define _DISTRIBUTE_H -#endif diff --git a/autoarray/util/nn/src/nn/examples/1/README b/autoarray/util/nn/src/nn/examples/1/README deleted file mode 100644 index 21a092247..000000000 --- a/autoarray/util/nn/src/nn/examples/1/README +++ /dev/null @@ -1,8 +0,0 @@ -This example reconstructs the Franke test function from 100, 300 and 1000 -random data points in [0,1]^2 square. - -To generate and approximate the data, run ./test.sh. -To visualize, in Matlab run "viewexample". - -Good luck! -Pavel Sakov diff --git a/autoarray/util/nn/src/nn/examples/1/generate.awk b/autoarray/util/nn/src/nn/examples/1/generate.awk deleted file mode 100644 index 5d49d37b2..000000000 --- a/autoarray/util/nn/src/nn/examples/1/generate.awk +++ /dev/null @@ -1,28 +0,0 @@ -BEGIN { - r = 1; - T = 10000000; - N = 100; -} - -{ - for (i = 0; i < N; ++i) { - x = random(); - y = random(); - xx = x * 9.0; - yy = y * 9.0; - z = 0.75 * exp(- (xx-2) * (xx-2) / 4 - (yy-2) * (yy-2) / 4) + 0.75 * exp(- (xx-2) * (xx-2) / 49 - (yy-2) / 10) + 0.5 * exp(- (xx-7) * (xx-7) / 4 - (yy-3) * (yy-3) / 4) - 0.2 * exp(- (xx-4) * (xx-4) - (yy-7)*(yy-7)); - printf("%.10g %.10g %.10g\n", x, y, z); - } -} - -END { -} - -# One could use in-built generator rand(), but its output may depend on the -# awk implementation used... -# -function random() -{ - r = (r * 40353607) % T; - return r / T; -} diff --git a/autoarray/util/nn/src/nn/examples/1/makefile b/autoarray/util/nn/src/nn/examples/1/makefile deleted file mode 100644 index 963080e1c..000000000 --- a/autoarray/util/nn/src/nn/examples/1/makefile +++ /dev/null @@ -1,4 +0,0 @@ -all: - ./test.sh -clean: - rm -f data-*.txt out-*.txt *~ core *.ps diff --git a/autoarray/util/nn/src/nn/examples/1/suptitle.m b/autoarray/util/nn/src/nn/examples/1/suptitle.m deleted file mode 100644 index 19b025423..000000000 --- a/autoarray/util/nn/src/nn/examples/1/suptitle.m +++ /dev/null @@ -1,112 +0,0 @@ -function hout=suptitle(str) -%SUPTITLE Puts a title above all subplots. -% SUPTITLE('text') adds text to the top of the figure -% above all subplots (a "super title"). Use this function -% after all subplot commands. - -% Drea Thomas 6/15/95 drea@mathworks.com -% John Cristion 12/13/00 modified -% Mark Histed 03/13/04 histed@mit.edu: fix disappearing legend on last plot -% -% $Id: suptitle.m,v 1.1.1.1 2008/12/12 16:07:41 pavels Exp $ - -% Warning: If the figure or axis units are non-default, this -% will break. - -% Parameters used to position the supertitle. - -% Amount of the figure window devoted to subplots -plotregion = .92; - -% Y position of title in normalized coordinates -titleypos = .95; - -% Fontsize for supertitle -fs = get(gcf,'defaultaxesfontsize'); - -% Fudge factor to adjust y spacing between subplots -fudge = 1; - -haold = gca; -figunits = get(gcf, 'units'); - -% Get the (approximate) difference between full height (plot + title -% + xlabel) and bounding rectangle. - -if (~strcmp(figunits, 'pixels')), - set(gcf,'units', 'pixels'); - pos = get(gcf, 'position'); - set(gcf, 'units', figunits); -else, - pos = get(gcf, 'position'); -end -ff = (fs - 4) * 1.27 * 5 / pos(4) * fudge; - -% The 5 here reflects about 3 characters of height below -% an axis and 2 above. 1.27 is pixels per point. - -% Determine the bounding rectange for all the plots - -% findobj is a 4.2 thing.. if you don't have 4.2 comment out -% the next line and uncomment the following block. -% -%h = findobj(gcf,'Type','axes'); % Change suggested by Stacy J. Hills -% -% If you don't have 4.2, use this code instead -ch = get(gcf, 'children'); -h = []; -for i = 1:length(ch), - if strcmp(get(ch(i), 'type'), 'axes'), - h = [h, ch(i)]; - end -end - -max_y = 0; -min_y = 1; - -oldtitle = 0; -for i = 1 : length(h), - if (~strcmp(get(h(i), 'Tag'), 'suptitle')), - pos = get(h(i), 'pos'); - if (pos(2) < min_y) - min_y = pos(2) - ff / 5 * 3; - end; - if (pos(4) + pos(2) > max_y) - max_y = pos(4) + pos(2) + ff / 5 * 2; - end; - else - oldtitle = h(i); - end -end - -if max_y > plotregion, - scale = (plotregion - min_y) / (max_y - min_y); - for i = 1 : length(h), - pos = get(h(i), 'position'); - pos(2) = (pos(2)-min_y) * scale + min_y; - pos(4) = pos(4) * scale - (1 - scale) * ff / 5 * 3; - set(h(i),'position',pos); - end -end - -np = get(gcf, 'nextplot'); -set(gcf, 'nextplot', 'add'); -if (oldtitle) - delete(oldtitle); -end -ha = axes('pos', [0 1 1 1], 'visible', 'off', 'Tag', 'suptitle'); -ht = text(.5, titleypos - 1, str); -set(ht, 'horizontalalignment', 'center', 'fontsize', fs); -set(gcf, 'nextplot', np); -axes(haold); - -% fix legend if one exists -legH = findobj(gcf, 'Type', 'Legend'); -if ~isempty(legH) - axes(legH); -end - -if nargout - hout = ht; -end - diff --git a/autoarray/util/nn/src/nn/examples/1/test.sh b/autoarray/util/nn/src/nn/examples/1/test.sh deleted file mode 100644 index 696a2772a..000000000 --- a/autoarray/util/nn/src/nn/examples/1/test.sh +++ /dev/null @@ -1,25 +0,0 @@ -#!/bin/bash - -if [ ! -x ../../nnbathy ] -then - echo "error: no executable found" - echo 'Run "./configure" and "make" in the source directory' - exit 1 -fi - -echo " Example of Natural Neighbours interpolation:" -echo " Franke test function reconstruction by 100, 300 and 1000 random points" - -for N in 100 300 1000 -do - echo " N = $N:" - echo -n " Generating..." - echo "1" | awk -f ./generate.awk N=$N > data-${N}.txt - echo "done" - echo -n " Interpolating into 256x256 grid..." - ../../nnbathy -i data-$N.txt -n 256x256 > out-${N}.txt - echo "done" -done - -echo " Finished" -echo " To visualize, in Matlab run \"viewexample\"" diff --git a/autoarray/util/nn/src/nn/examples/1/viewexample.m b/autoarray/util/nn/src/nn/examples/1/viewexample.m deleted file mode 100644 index d6e86fd30..000000000 --- a/autoarray/util/nn/src/nn/examples/1/viewexample.m +++ /dev/null @@ -1,57 +0,0 @@ -function viewexample() - - subplot(3, 1, 1); - view('data-100.txt', 'out-100.txt'); - title('100 data points'); - pause(0.1); - - subplot(3, 1, 2); - view('data-300.txt', 'out-300.txt'); - title('300 data points'); - pause(0.1); - - subplot(3, 1, 3); - view('data-1000.txt', 'out-1000.txt'); - title('1000 data points'); - - suptitle('Interpolation of Franke test function using nnbathy'); - - return - -function view(data, output) - - N = 256; - for i = 0:15 - V(i+1) = i * 0.1; - end - points = load(output); - k = 1; - x = zeros(N, N); - y = zeros(N, N); - z = zeros(N, N); - z1 = zeros(N, N); - for j = N:-1:1 - for i = 1:N - x(j, i) = points(k, 1); - y(j, i) = points(k, 2); - z(j, i) = points(k, 3); - xx = x(j, i) * 9.0; - yy = y(j, i) * 9.0; - z1(j, i) = 0.75 * exp(- (xx-2.0) * (xx-2.0) / 4.0 - (yy-2.0) * (yy-2.0) / 4.0) + 0.75 * exp(- (xx-2.0) * (xx-2.0) / 49.0 - (yy-2.0) / 10.0) + 0.5 * exp(- (xx-7.0) * (xx-7.0) / 4.0 - (yy-3.0) * (yy-3.0) / 4.0) - 0.2 * exp(- (xx-4.0) * (xx-4.0) - (yy-7.0)*(yy-7.0)); - k = k + 1; - end - end - - contour(x, y, z1, V, 'k'); - hold on; - [c, h] = contour(x, y, z, V); - clabel(c, h); - - points = load(data); - x = points(:, 1); - y = points(:, 2); - plot(x, y, 'k+', 'markersize', 3); - axis([0 1 0 1]); - axis square; - - return diff --git a/autoarray/util/nn/src/nn/examples/2/README b/autoarray/util/nn/src/nn/examples/2/README deleted file mode 100644 index 0c269621b..000000000 --- a/autoarray/util/nn/src/nn/examples/2/README +++ /dev/null @@ -1,29 +0,0 @@ -This example represents interpolation of some real-life bathymetry data -along the shiptrack. - -It is quite tough for interpolation because of the instrumental round-up -of the position of the ship (resulting in a lot of close/duplicate data -points and in data points aligned to nodes of a regular grid) and because -of clustering of data along the track (resulting in a lot of very thin -triangles). - -Early versions if `nn' miserably failed for this data set when interpolating -the raw data, and were dealt with by replacing data in each cell of a 256x256 -subgrid by an averaged value by means of "-d" option of `nnbathy'. The current -version of `nn' is doing much better job; still "-d" option is used because -it speeds up things and because this is the right way to deal with such -clustered data. - -I need to add that `triangle' really shines in this example. - -To reproduce the example, run "./test.sh" or "make". -To visualize, in Matlab run "viewexample". -To clean up, run "make clean" - -From v2.0.0 some MPI code has been added to nnbathy. To compile the parallelised -version change "MPI = no" in ../../makefile to "MPI = yes". To test it run -"make mpi" and "run cmp". 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b/autoarray/util/nn/src/nn/examples/2/makefile deleted file mode 100644 index 6404550db..000000000 --- a/autoarray/util/nn/src/nn/examples/2/makefile +++ /dev/null @@ -1,14 +0,0 @@ -all: - ./test.sh -mpi: - ./mpitest.sh -cmp: - @echo -n " running mpitest.sh..." - @time -f " %es" sh -c '"$$0" "$$1" >/dev/null 2>&1' ./mpitest.sh 512x512 - @for file in lin.txt nn-inf.txt nn-0.txt nn-ns.txt; do mv $$file $${file}.mpi; done - @echo -n " running test.sh..." - @time -f " %es" sh -c '"$$0" "$$1" >/dev/null 2>&1' ./test.sh 512x512 - @echo " comparing results:" - @for file in lin.txt nn-inf.txt nn-0.txt nn-ns.txt; do echo -n " "; diff -qs $$file $${file}.mpi; done -clean: - rm -f lin*.txt* nn-*.txt* *~ core diff --git a/autoarray/util/nn/src/nn/examples/2/mpitest.sh b/autoarray/util/nn/src/nn/examples/2/mpitest.sh deleted file mode 100644 index ad7a3f499..000000000 --- a/autoarray/util/nn/src/nn/examples/2/mpitest.sh +++ /dev/null @@ -1,32 +0,0 @@ -#!/bin/bash - -NCPU=4 -RES=256x256 - -if (($# > 0)) -then - RES=$1 -fi - -if [ ! -x ../../nnbathy ] -then - echo "error: no executable found" - echo 'Run "./configure" and "make" in the source directory' - exit 1 -fi - -echo "" -echo -n "Linear interpolation..." -mpirun -np $NCPU ../../nnbathy -i data.txt -n $RES -P alg=l > lin.txt -echo "done" -echo -n "Natural Neighbours Sibson interpolation..." -mpirun -np $NCPU ../../nnbathy -i data.txt -n $RES > nn-inf.txt -echo "done" -echo -n "Natural Neighbours Sibson interpolation with wmin = 0..." -mpirun -np $NCPU ../../nnbathy -i data.txt -n $RES -W 0 > nn-0.txt -echo "done" -echo -n "Natural Neighbours Non-Sibsonian interpolation with wmin = 0..." -mpirun -np $NCPU ../../nnbathy -i data.txt -n $RES -W 0 -P alg=ns > nn-ns.txt -echo "done" -echo "" -echo 'To visualize, in Matlab run "viewexample"' diff --git a/autoarray/util/nn/src/nn/examples/2/suptitle.m b/autoarray/util/nn/src/nn/examples/2/suptitle.m deleted file mode 100644 index 19b025423..000000000 --- a/autoarray/util/nn/src/nn/examples/2/suptitle.m +++ /dev/null @@ -1,112 +0,0 @@ -function hout=suptitle(str) -%SUPTITLE Puts a title above all subplots. -% SUPTITLE('text') adds text to the top of the figure -% above all subplots (a "super title"). Use this function -% after all subplot commands. - -% Drea Thomas 6/15/95 drea@mathworks.com -% John Cristion 12/13/00 modified -% Mark Histed 03/13/04 histed@mit.edu: fix disappearing legend on last plot -% -% $Id: suptitle.m,v 1.1.1.1 2008/12/12 16:07:41 pavels Exp $ - -% Warning: If the figure or axis units are non-default, this -% will break. - -% Parameters used to position the supertitle. - -% Amount of the figure window devoted to subplots -plotregion = .92; - -% Y position of title in normalized coordinates -titleypos = .95; - -% Fontsize for supertitle -fs = get(gcf,'defaultaxesfontsize'); - -% Fudge factor to adjust y spacing between subplots -fudge = 1; - -haold = gca; -figunits = get(gcf, 'units'); - -% Get the (approximate) difference between full height (plot + title -% + xlabel) and bounding rectangle. - -if (~strcmp(figunits, 'pixels')), - set(gcf,'units', 'pixels'); - pos = get(gcf, 'position'); - set(gcf, 'units', figunits); -else, - pos = get(gcf, 'position'); -end -ff = (fs - 4) * 1.27 * 5 / pos(4) * fudge; - -% The 5 here reflects about 3 characters of height below -% an axis and 2 above. 1.27 is pixels per point. - -% Determine the bounding rectange for all the plots - -% findobj is a 4.2 thing.. if you don't have 4.2 comment out -% the next line and uncomment the following block. -% -%h = findobj(gcf,'Type','axes'); % Change suggested by Stacy J. Hills -% -% If you don't have 4.2, use this code instead -ch = get(gcf, 'children'); -h = []; -for i = 1:length(ch), - if strcmp(get(ch(i), 'type'), 'axes'), - h = [h, ch(i)]; - end -end - -max_y = 0; -min_y = 1; - -oldtitle = 0; -for i = 1 : length(h), - if (~strcmp(get(h(i), 'Tag'), 'suptitle')), - pos = get(h(i), 'pos'); - if (pos(2) < min_y) - min_y = pos(2) - ff / 5 * 3; - end; - if (pos(4) + pos(2) > max_y) - max_y = pos(4) + pos(2) + ff / 5 * 2; - end; - else - oldtitle = h(i); - end -end - -if max_y > plotregion, - scale = (plotregion - min_y) / (max_y - min_y); - for i = 1 : length(h), - pos = get(h(i), 'position'); - pos(2) = (pos(2)-min_y) * scale + min_y; - pos(4) = pos(4) * scale - (1 - scale) * ff / 5 * 3; - set(h(i),'position',pos); - end -end - -np = get(gcf, 'nextplot'); -set(gcf, 'nextplot', 'add'); -if (oldtitle) - delete(oldtitle); -end -ha = axes('pos', [0 1 1 1], 'visible', 'off', 'Tag', 'suptitle'); -ht = text(.5, titleypos - 1, str); -set(ht, 'horizontalalignment', 'center', 'fontsize', fs); -set(gcf, 'nextplot', np); -axes(haold); - -% fix legend if one exists -legH = findobj(gcf, 'Type', 'Legend'); -if ~isempty(legH) - axes(legH); -end - -if nargout - hout = ht; -end - diff --git a/autoarray/util/nn/src/nn/examples/2/test.sh b/autoarray/util/nn/src/nn/examples/2/test.sh deleted file mode 100644 index fc2e13b6d..000000000 --- a/autoarray/util/nn/src/nn/examples/2/test.sh +++ /dev/null @@ -1,31 +0,0 @@ -#!/bin/bash - -RES=256x256 - -if (($# > 0)) -then - RES=$1 -fi - -if [ ! -x ../../nnbathy ] -then - echo "error: no executable found" - echo 'Run "./configure" and "make" in the source directory' - exit 1 -fi - -echo "" -echo -n "Linear interpolation..." -../../nnbathy -i data.txt -n $RES -P alg=l > lin.txt -echo "done" -echo -n "Natural Neighbours Sibson interpolation..." -../../nnbathy -i data.txt -n $RES > nn-inf.txt -echo "done" -echo -n "Natural Neighbours Sibson interpolation with wmin = 0..." -../../nnbathy -i data.txt -n $RES -W 0 > nn-0.txt -echo "done" -echo -n "Natural Neighbours Non-Sibsonian interpolation with wmin = 0..." -../../nnbathy -i data.txt -n $RES -W 0 -P alg=ns > nn-ns.txt -echo "done" -echo "" -echo 'To visualize, in Matlab run "viewexample"' diff --git a/autoarray/util/nn/src/nn/examples/2/viewdata.m b/autoarray/util/nn/src/nn/examples/2/viewdata.m deleted file mode 100644 index 4a83960e9..000000000 --- a/autoarray/util/nn/src/nn/examples/2/viewdata.m +++ /dev/null @@ -1,54 +0,0 @@ -function [] = viewdata(fname, verbose) - - if nargin == 1 - verbose = 1; - end - - if verbose - fprintf('plotting data from "%s"\n', fname); - fprintf(' reading %s...', fname); - end - data = load(fname); - x = data(:, 1); - y = data(:, 2); - z = data(:, 3); - clear data; - - if verbose - fprintf('\n'); - end - - if verbose - fprintf(' plotting...'); - end - - xmin = min(x); - xmax = max(x); - ymin = min(y); - ymax = max(y); - zmin = min(z); - zmax = max(z); - n = length(z); - - map = colormap; - axis([xmin xmax ymin ymax]); - axis square; - set(gca, 'box', 'on'); - hold on; - for i = 1 : n - plot(x(i), y(i), 's-', 'color', zcolor(z(i), zmin, zmax, map), 'markersize', 2); - end - - if verbose - fprintf('\n'); - end - - return - -function c = zcolor(z, zmin, zmax, map) - - ind = floor((z - zmin) / (zmax - zmin) * 64 + 1); - ind = min(ind, 64); - c = map(ind, :); - - return diff --git a/autoarray/util/nn/src/nn/examples/2/viewexample.m b/autoarray/util/nn/src/nn/examples/2/viewexample.m deleted file mode 100644 index f8704a46f..000000000 --- a/autoarray/util/nn/src/nn/examples/2/viewexample.m +++ /dev/null @@ -1,52 +0,0 @@ -figure - -subplot(3, 2, 1); -fname = 'data.txt'; -fprintf('plotting data points from "%s"\n', fname); -fprintf(' reading %s...', fname); -data = load(fname); -xrange = [min(data(:, 1)) max(data(:, 1))]; -yrange = [min(data(:, 2)) max(data(:, 2))]; -zrange = [min(data(:, 3)) max(data(:, 3))]; -fprintf('\n'); -fprintf(' plotting...'); -axis([xrange yrange]); -axis tight; -axis square; -set(gca, 'box', 'on'); -hold on; -plot(data(:, 1), data(:, 2), 'k.', 'markersize', 1); -fprintf('\n'); -clear data; -title('Data points'); -pause(0.1); - -subplot(3, 2, 2); -viewdata('data.txt'); -title('Data'); -pause(0.1); - -subplot(3, 2, 3); -viewinterp('data.txt', 'lin.txt'); -title('Linear interpolation'); -pause(0.1); - -subplot(3, 2, 4); -viewinterp('data.txt', 'nn-inf.txt'); -caxis(zrange); -title(sprintf('Natural Neighbours interpolation\n(extrapolation allowed)')); -pause(0.1); - -subplot(3, 2, 5); -viewinterp('data.txt', 'nn-0.txt'); -caxis(zrange); -title(sprintf('Natural Neighbours interpolation\n(interpolation only)')); -pause(0.1); - -subplot(3, 2, 6); -viewinterp('data.txt', 'nn-ns.txt'); -caxis(zrange); -title(sprintf('Non-Sibsonian NN interpolation\n(interpolation only)')); -pause(0.1); - -suptitle('Interpolation of bathymetry data from sonar using nnbathy'); diff --git a/autoarray/util/nn/src/nn/examples/2/viewinterp.m b/autoarray/util/nn/src/nn/examples/2/viewinterp.m deleted file mode 100644 index ebabf2b46..000000000 --- a/autoarray/util/nn/src/nn/examples/2/viewinterp.m +++ /dev/null @@ -1,129 +0,0 @@ -function [h] = viewinterp(fin, fout, verbose) - - if nargin == 2 - verbose = 1; - end - - if verbose - fprintf('plotting data from "%s" and "%s"\n', fin, fout); - fprintf(' reading "%s"...', fin); - end - - data = load(fin); - xin = data(:, 1); - yin = data(:, 2); - - if verbose - fprintf('\n reading "%s"...', fout); - end - - data = load(fout); - x = data(:, 1); - y = data(:, 2); - z = data(:, 3); - clear data; - - if verbose - fprintf('\n'); - end - - if verbose - fprintf(' working out the grid dimensions...') - end - n = length(x); - if x(2) - x(1) ~= 0 & y(2) - y(1) == 0 - xfirst = 1; - xinc = x(2) > x(1); - if xinc - nx = min(find(diff(x) < 0)); - else - nx = min(find(diff(x) > 0)); - end - if mod(n, nx) ~= 0 - error(sprintf('\n Error: could not work out the grid size, n = %d, nx = %d, n / nx = %f\n', n, nx, n / nx)); - end - ny = n / nx; - x = x(1 : nx); - y = y(1 : nx : n); - z = reshape(z, nx, ny)'; - elseif x(2) - x(1) == 0 & y(2) - y(1) ~= 0 - xfirst = 0; - yinc = y(2) > y(1); - if yinc - ny = min(find(diff(y) < 0)); - else - ny = min(find(diff(y) > 0)); - end - if mod(n, ny) ~= 0 - error(sprintf('\n Error: could not work out the grid size, n = %d, ny = %d, n / ny = %.3f\n', n, ny, n / ny)); - end - nx = n / ny; - y = y(1 : ny); - x = x(1 : ny : n); - z = reshape(z, ny, nx); - else - error(' Error: not a rectangular grid'); - end - if verbose - if xfirst - fprintf('%d x %d, stored by rows\n', nx, ny); - else - fprintf('%d x %d, stored by columns\n', nx, ny); - end - end - - if verbose - fprintf(' plotting...'); - end - - h = pcolor_ps(x, y, z); - zrange = [min(min(z)) max(max(z))]; - caxis(zrange); - set(h, 'LineStyle', 'none'); - axis square; - hold on; - plot(xin, yin, 'w.', 'markersize', 1); - - if verbose - fprintf('\n'); - end - - return - -function [h] = pcolor_ps(x, y, A); - - if nargin == 1 - A = x; - [n, m] = size(A); - xx = (0.5 : m + 0.5)'; - yy = (0.5 : n + 0.5)'; - elseif nargin == 3 - n = length(y); - m = length(x); - A = reshape(A, n, m); % just in case - xx = getcorners(x); - yy = getcorners(y); - else - error(sprintf('\n Error: pcolor_ps(): nargin = %d (expected 1 or 3)\n', nargin)); - end - - TMP = zeros(n + 1, m + 1); - TMP(1 : n, 1 : m) = A; - - if nargout == 0 - pcolor(xx, yy, TMP); - else - h = pcolor(xx, yy, TMP); - end - - return - -function [c] = getcorners(x) - - n = length(x); - c = zeros(n + 1, 1); - c(2 : n) = (x(2 : n) + x(1 : n - 1)) / 2; - c(1) = 2 * x(1) - c(2); - c(n + 1) = 2 * x(n) - c(n); - - return diff --git a/autoarray/util/nn/src/nn/examples/3/README b/autoarray/util/nn/src/nn/examples/3/README deleted file mode 100644 index 6b0536e01..000000000 --- a/autoarray/util/nn/src/nn/examples/3/README +++ /dev/null @@ -1,34 +0,0 @@ -This example tests interpolation of degenerate data, when both input and -output points belong to nodes of 101 x 101 regular grid. As a consequence, -a lot of output points turn out to be exactly on edges of Delaunay -triangulation. In this case, Watson's algorithm used for Sibson interpolation -in this package does not work, and the output vertices have to be perturbed. -(The same applies to Belikov and Semenov's formulas for non-Sibsonian -interpolation.) - -A linear function z = 5x - 3y has been chosen for interpolation because -both Sibsonian and non-Sibsonian interpolation should (in theory) reproduce -it exactly, and for both Sibsonian and non-Sibsonian interpolation sum of -absolute discrepancy is calculated. - -I think that this example is a good test of numerical robustness of the -NN interpolation. - -To conduct the test, run "./test.sh" or "make". -To clean up, run "make clean". - -On pc-linux platform v. 1.55 yields: - sum(|z_sibson_i - z_i|) = 4.91393e-10 - sum(|z_nonsibson_i - z_i|) = 3.28898e-14 - -For comparison, libnn version 1.52 gives: - sum(|z_sibson_i - z_i|) = 312.976 - sum(|z_nonsibson_i - z_i|) = 489.882 - -Update 24 November 2006: version 1.69 gives now - sum(|z_sibson_i - z_i|) = 2.07804e-12 - sum(|z_nonsibson_i - z_i|) = 3.53031e-14 -on my Linux box. - -Good luck! -Pavel Sakov diff --git a/autoarray/util/nn/src/nn/examples/3/generate-data.awk b/autoarray/util/nn/src/nn/examples/3/generate-data.awk deleted file mode 100644 index 6437c2fb3..000000000 --- a/autoarray/util/nn/src/nn/examples/3/generate-data.awk +++ /dev/null @@ -1,26 +0,0 @@ -BEGIN { - r = 1; - T = 10000000; - N = 300; -} - -{ - for (i = 0; i < N; ++i) { - x = (int(random() * 121.0) - 10.0) / 100.0; - y = (int(random() * 121.0) - 10.0) / 100.0; - z = 5.0 * x - 3.0 * y; - printf("%.10g %.10g %.10g\n", x, y, z); - } -} - -END { -} - -# One could use in-built generator rand(), but its output may depend on the -# awk implementation used... -# -function random() -{ - r = (r * 40353607) % T; - return r / T; -} diff --git a/autoarray/util/nn/src/nn/examples/3/generate-points.awk b/autoarray/util/nn/src/nn/examples/3/generate-points.awk deleted file mode 100644 index c44252553..000000000 --- a/autoarray/util/nn/src/nn/examples/3/generate-points.awk +++ /dev/null @@ -1,19 +0,0 @@ -BEGIN { - N = 101; - inc = 1.0 / (N - 1); -} - -{ - y = 0.0; - for (j = 0; j < N; ++j) { - x = 0.0; - for (i = 0; i < N; ++i) { - printf("%.2f %.2f %.2f\n", x, y, 5.0 * x - 3.0 * y); - x += inc; - } - y += inc; - } -} - -END { -} diff --git a/autoarray/util/nn/src/nn/examples/3/makefile b/autoarray/util/nn/src/nn/examples/3/makefile deleted file mode 100644 index 2285bd3bf..000000000 --- a/autoarray/util/nn/src/nn/examples/3/makefile +++ /dev/null @@ -1,4 +0,0 @@ -all: - @./test.sh -clean: - @rm -f *.txt *~ core diff --git a/autoarray/util/nn/src/nn/examples/3/test.sh b/autoarray/util/nn/src/nn/examples/3/test.sh deleted file mode 100644 index 2bd064b7b..000000000 --- a/autoarray/util/nn/src/nn/examples/3/test.sh +++ /dev/null @@ -1,18 +0,0 @@ -#!/bin/bash - -if [ ! -x ../../nnbathy ] -then - echo "error: no executable found" - echo 'Run "./configure" and "make" in the source directory' - exit 1 -fi - -echo | awk -f generate-data.awk > data.txt -echo | awk -f generate-points.awk > points.txt - -../../nnbathy -i data.txt -o points.txt > results.txt -../../nnbathy -i data.txt -o points.txt -P alg=ns > results-ns.txt - -paste -d" " results.txt results-ns.txt points.txt |\ -cut -f"1 2 3 6 9" -d" " |\ -awk '{a = $3 - $5; s1 += (a > 0) ? a : -a; b = $4 - $5; s2 += (b > 0) ? b : -b;} END {print " sum(|z_sibson_i - z_i|) =", s1; print " sum(|z_nonsibson_i - z_i|) =", s2;}' diff --git a/autoarray/util/nn/src/nn/examples/4/README b/autoarray/util/nn/src/nn/examples/4/README deleted file mode 100644 index 7b95f17a0..000000000 --- a/autoarray/util/nn/src/nn/examples/4/README +++ /dev/null @@ -1,14 +0,0 @@ -This real-life example is run on a topographic data from satellite altimeter. -(Thanks to Prof. David A. Paige, Dept. of Earth and Space Sciences, UCLA.) -Similar to example 3, the data points belong to nodes of a rectangular grid, -but also there is a large gap between two main clusters of data. - -To reproduce the example, run "./test.sh" or "make". -To visualize, in Matlab run "viewexample" or -"viewinterp('data.txt', 'nn-0.txt');". -To clean up, run "make clean". - -Note that the locations of data points are marked by white dots. - -Good luck! -Pavel Sakov diff --git a/autoarray/util/nn/src/nn/examples/4/data.txt b/autoarray/util/nn/src/nn/examples/4/data.txt deleted file mode 100644 index 00c6a1b3e..000000000 --- a/autoarray/util/nn/src/nn/examples/4/data.txt +++ /dev/null @@ -1,6552 +0,0 @@ - 12 810 -1.30203748 - 13 810 -1.3370707 - 14 810 -1.35904384 - 15 810 -1.33274746 - 16 810 -1.20110583 - 17 810 -1.09421909 - 18 810 -1.07493246 - 19 810 -1.09888613 - 20 810 -1.14623666 - 21 810 -1.21364784 - 22 810 -1.26968694 - 23 810 -1.30824888 - 24 810 -1.34657848 - 25 810 -1.40595734 - 26 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710 4.44733477 - 82 710 4.59821367 - 83 710 4.75538731 - 84 710 4.89233303 - 85 710 5.00394535 - 86 710 5.07165051 - 87 710 5.09862423 - 88 710 5.07323742 - 89 710 4.99385786 - 90 710 4.87502623 - 91 710 4.73408985 - 92 710 4.60487032 - 93 710 4.47685862 - 94 710 4.36737204 - 95 710 4.38195801 - 96 710 4.36082029 - 97 710 4.37341499 - 98 710 4.41251945 - 99 710 4.455791 - 100 710 4.48981047 - 101 710 4.50770521 - 102 710 4.52276468 - 103 710 4.53297853 - 104 710 4.50258732 - 105 710 4.48751068 - 106 710 4.46747589 - 107 710 4.57860136 - 108 710 4.65716124 - 109 710 4.72017002 diff --git a/autoarray/util/nn/src/nn/examples/4/makefile b/autoarray/util/nn/src/nn/examples/4/makefile deleted file mode 100644 index 6cd506764..000000000 --- a/autoarray/util/nn/src/nn/examples/4/makefile +++ /dev/null @@ -1,4 +0,0 @@ -all: - ./test.sh -clean: - rm -f lin*.txt nn-*.txt *~ core diff --git a/autoarray/util/nn/src/nn/examples/4/test.sh b/autoarray/util/nn/src/nn/examples/4/test.sh deleted file mode 100644 index df1c59b2c..000000000 --- a/autoarray/util/nn/src/nn/examples/4/test.sh +++ /dev/null @@ -1,26 +0,0 @@ -#!/bin/bash - -N=201 - -if [ ! -x ../../nnbathy ] -then - echo "error: no executable found" - echo 'Run "./configure" and "make" in the source directory' - exit 1 -fi - -echo "" -echo -n "Linear interpolation..." -../../nnbathy -i data.txt -n "$N"x"$N" -P alg=l > lin.txt -echo "done" -echo -n "Natural Neighbours Sibson interpolation..." -../../nnbathy -i data.txt -n "$N"x"$N" > nn-inf.txt -echo "done" -echo -n "Natural Neighbours Sibson interpolation with wmin = 0..." -../../nnbathy -i data.txt -n "$N"x"$N" -W 0 > nn-0.txt -echo "done" -echo -n "Natural Neighbours Non-Sibsonian interpolation with wmin = 0..." -../../nnbathy -i data.txt -n "$N"x"$N" -P alg=ns -W 0 > nn-ns.txt -echo "done" -echo "" -echo 'To visualize, in Matlab run "viewexample"' diff --git a/autoarray/util/nn/src/nn/examples/4/viewdata.m b/autoarray/util/nn/src/nn/examples/4/viewdata.m deleted file mode 100644 index cf6455bad..000000000 --- a/autoarray/util/nn/src/nn/examples/4/viewdata.m +++ /dev/null @@ -1,54 +0,0 @@ -function [] = viewdata(fname, verbose) - - if nargin == 1 - verbose = 1; - end - - if verbose - fprintf('plotting data from "%s"\n', fname); - fprintf(' reading %s...', fname); - end - data = load(fname); - x = data(:, 1); - y = data(:, 2); - z = data(:, 3); - clear data; - - if verbose - fprintf('\n'); - end - - if verbose - fprintf(' plotting...'); - end - - xmin = min(x); - xmax = max(x); - ymin = min(y); - ymax = max(y); - zmin = min(z); - zmax = max(z); - n = length(z); - - map = colormap; - axis([xmin xmax ymin ymax]); - axis square; - set(gca, 'box', 'on'); - hold on; - for i = 1 : n - plot(x(i), y(i), 's-', 'color', zcolor(z(i), zmin, zmax, map), 'markersize', 2); - end - - if verbose - fprintf('\n'); - end - - return - -function c = zcolor(z, zmin, zmax, map) - - ind = floor((z - zmin) / (zmax - zmin) * 64 + 1); - ind = min(ind, 64); - c = map(ind, :); - - return diff --git a/autoarray/util/nn/src/nn/examples/4/viewexample.m b/autoarray/util/nn/src/nn/examples/4/viewexample.m deleted file mode 100644 index 6ce1d1018..000000000 --- a/autoarray/util/nn/src/nn/examples/4/viewexample.m +++ /dev/null @@ -1,52 +0,0 @@ -figure - -subplot(3, 2, 1); -fname = 'data.txt'; -fprintf('plotting data points from "%s"\n', fname); -fprintf(' reading %s...', fname); -data = load(fname); -xrange = [min(data(:, 1)) max(data(:, 1))]; -yrange = [min(data(:, 2)) max(data(:, 2))]; -zrange = [min(data(:, 3)) max(data(:, 3))]; -fprintf('\n'); -fprintf(' plotting...'); -axis([xrange yrange]); -axis tight; -axis square; -set(gca, 'box', 'on'); -hold on; -plot(data(:, 1), data(:, 2), 'k.', 'markersize', 1); -fprintf('\n'); -clear data; -title('Data points'); -pause(0.1); - -subplot(3, 2, 2); -viewdata('data.txt'); -title('Data'); -pause(0.1); - -subplot(3, 2, 3); -viewinterp('data.txt', 'lin.txt'); -title('Linear interpolation'); -pause(0.1); - -subplot(3, 2, 4); -viewinterp('data.txt', 'nn-inf.txt'); -caxis(zrange); -title(sprintf('Natural Neighbours interpolation\n(extrapolation allowed)')); -pause(0.1); - -subplot(3, 2, 5); -viewinterp('data.txt', 'nn-0.txt'); -caxis(zrange); -title(sprintf('Natural Neighbours interpolation\n(interpolation only)')); -pause(0.1); - -subplot(3, 2, 6); -viewinterp('data.txt', 'nn-ns.txt'); -caxis(zrange); -title(sprintf('Non-Sibsonian NN interpolation\n(interpolation only)')); -pause(0.1); - -suptitle('Interpolation of topographic data from satellite altimeter using nnbathy'); diff --git a/autoarray/util/nn/src/nn/examples/4/viewinterp.m b/autoarray/util/nn/src/nn/examples/4/viewinterp.m deleted file mode 100644 index f43e5d4f2..000000000 --- a/autoarray/util/nn/src/nn/examples/4/viewinterp.m +++ /dev/null @@ -1,129 +0,0 @@ -function [h] = viewinterp(fin, fout, verbose) - - if nargin == 2 - verbose = 1; - end - - if verbose - fprintf('plotting data from "%s" and "%s"\n', fin, fout); - fprintf(' reading "%s"...', fin); - end - - data = load(fin); - xin = data(:, 1); - yin = data(:, 2); - - if verbose - fprintf('\n reading "%s"...', fout); - end - - data = load(fout); - x = data(:, 1); - y = data(:, 2); - z = data(:, 3); - clear data; - - if verbose - fprintf('\n'); - end - - if verbose - fprintf(' working out the grid dimensions...') - end - n = length(x); - if x(2) - x(1) ~= 0 & y(2) - y(1) == 0 - xfirst = 1; - xinc = x(2) > x(1); - if xinc - nx = min(find(diff(x) < 0)); - else - nx = min(find(diff(x) > 0)); - end - if mod(n, nx) ~= 0 - error(sprintf('\n Error: could not work out the grid size, n = %d, nx = %d, n / nx = %f\n', n, nx, n / nx)); - end - ny = n / nx; - x = x(1 : nx); - y = y(1 : nx : n); - z = reshape(z, nx, ny)'; - elseif x(2) - x(1) == 0 & y(2) - y(1) ~= 0 - xfirst = 0; - yinc = y(2) > y(1); - if yinc - ny = min(find(diff(y) < 0)); - else - ny = min(find(diff(y) > 0)); - end - if mod(n, ny) ~= 0 - error(sprintf('\n Error: could not work out the grid size, n = %d, ny = %d, n / ny = %.3f\n', n, ny, n / ny)); - end - nx = n / ny; - y = y(1 : ny); - x = x(1 : ny : n); - z = reshape(z, ny, nx); - else - error(' Error: not a rectangular grid'); - end - if verbose - if xfirst - fprintf('%d x %d, stored by rows\n', nx, ny); - else - fprintf('%d x %d, stored by columns\n', nx, ny); - end - end - - if verbose - fprintf(' plotting...'); - end - - h = pcolor_ps(x, y, z); - zrange = [min(min(z)) max(max(z))]; - caxis(zrange); - set(h, 'LineStyle', 'none'); - axis square; - hold on; - plot(xin, yin, 'w.', 'markersize', 1); - - if verbose - fprintf('\n'); - end - - return - -function [h] = pcolor_ps(x, y, A); - - if nargin == 1 - A = x; - [n, m] = size(A); - xx = (0.5 : m + 0.5)'; - yy = (0.5 : n + 0.5)'; - elseif nargin == 3 - n = length(y); - m = length(x); - A = reshape(A, n, m); % just in case - xx = getcorners(x); - yy = getcorners(y); - else - error(sprintf('\n Error: pcolor_ps(): nargin = %d (expected 1 or 3)\n', nargin)); - end - - TMP = zeros(n + 1, m + 1); - TMP(1 : n, 1 : m) = A; - - if nargout == 0 - pcolor(xx, yy, TMP); - else - h = pcolor(xx, yy, TMP); - end - - return - -function [c] = getcorners(x) - - n = length(x); - c = zeros(n + 1, 1); - c(2 : n) = (x(2 : n) + x(1 : n - 1)) / 2; - c(1) = 2 * x(1) - c(2); - c(n + 1) = 2 * x(n) - c(n); - - return diff --git a/autoarray/util/nn/src/nn/examples/5/README b/autoarray/util/nn/src/nn/examples/5/README deleted file mode 100644 index 8af1d6dd7..000000000 --- a/autoarray/util/nn/src/nn/examples/5/README +++ /dev/null @@ -1,12 +0,0 @@ -This example is run on elevation data obtained from digitised contours. -(Thanks to Maciej Sieczka, Institute of Plant Biology, Wroclaw University.) -It is characterised by strong clustering of data points and big gaps between -clusters. - -To reproduce the example, run "./test.sh" or "make". -To visualize, in Matlab run "viewexample" (which takes time to plot) or -"viewinterp('data.txt', 'nn.txt');". -To clean up, run "make clean". - -Good luck! -Pavel Sakov diff --git a/autoarray/util/nn/src/nn/examples/5/data.txt b/autoarray/util/nn/src/nn/examples/5/data.txt deleted file mode 100644 index 6f9b72715..000000000 --- a/autoarray/util/nn/src/nn/examples/5/data.txt +++ /dev/null @@ -1,51492 +0,0 @@ -593424.65 5685133.29 120.00 -593433.18 5685138.47 120.00 -593435.34 5685000.20 125.00 -593441.71 5685143.64 120.00 -593444.21 5685004.79 125.00 -593450.56 5685147.55 120.00 -593452.71 5684302.35 125.00 -593453.08 5685009.38 125.00 -593453.50 5684139.67 120.00 -593454.13 5684111.96 120.00 -593455.46 5683573.53 120.00 -593460.14 5684309.02 125.00 -593460.51 5685146.87 120.00 -593461.48 5684145.53 120.00 -593461.94 5685013.98 125.00 -593463.19 5684107.92 120.00 -593464.89 5683570.46 120.00 -593468.86 5684313.54 125.00 -593469.47 5684151.40 120.00 -593470.25 5685144.95 120.00 -593470.67 5685018.80 125.00 -593472.14 5684103.67 120.00 -593474.31 5683567.39 120.00 -593477.29 5684157.46 120.00 -593478.33 5684316.68 125.00 -593478.73 5685024.69 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5677449.40 98.75 -602001.33 5678966.62 97.50 -602002.05 5676879.96 97.50 -602002.19 5676476.71 101.25 -602002.41 5680267.99 97.50 -602002.43 5680525.81 97.50 -602002.54 5676861.32 97.50 -602002.63 5678795.30 97.50 -602002.70 5680458.24 97.20 -602003.88 5680398.90 97.50 -602003.92 5676870.62 97.50 -602004.67 5680450.20 97.50 -602004.71 5677427.94 98.75 -602004.90 5678648.23 97.50 -602004.99 5680279.82 97.50 -602005.19 5677437.35 98.50 -602005.71 5677250.54 98.75 -602005.78 5677946.34 97.50 -602005.99 5678190.62 97.50 -602006.02 5680248.65 97.50 -602006.26 5680537.24 97.50 -602006.59 5680308.36 97.50 -602006.86 5680254.33 97.50 -602006.87 5680468.78 97.50 -602006.91 5680433.82 97.50 -602007.24 5680459.57 97.50 -602007.27 5678153.90 97.50 -602007.43 5680405.21 97.50 -602007.44 5676800.33 97.50 -602007.72 5678676.44 97.50 -602008.40 5676678.47 98.75 -602008.50 5680481.67 97.50 -602008.63 5678814.57 97.50 -602008.64 5678657.50 97.50 -602008.84 5680384.38 97.50 -602009.06 5680518.33 97.50 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5678954.34 97.50 -602015.77 5680405.06 97.50 -602016.08 5676672.13 98.75 -602016.20 5680475.29 97.50 -602016.91 5677437.25 98.75 -602017.09 5678152.03 97.50 -602017.21 5680520.58 97.50 -602018.10 5680396.10 97.50 -602018.18 5678816.87 97.50 -602018.38 5680366.95 97.50 -602018.43 5677934.07 97.25 -602018.67 5680382.54 97.50 -602018.94 5680320.96 97.50 -602019.27 5680437.25 97.50 -602019.33 5680421.50 97.25 -602019.64 5677224.08 98.75 -602020.00 5678832.18 97.50 -602020.25 5678945.49 97.50 -602020.28 5677428.77 98.75 -602020.32 5680261.99 97.50 -602020.59 5677940.39 97.25 -602020.77 5680426.14 97.50 -602020.81 5677923.08 98.75 -602020.89 5680502.28 97.50 -602020.93 5680445.61 97.50 -602021.10 5680269.32 97.50 -602021.41 5678791.91 97.50 -602021.66 5680412.93 97.50 -602021.98 5678810.07 97.50 -602022.15 5676477.93 101.25 -602022.32 5680400.82 97.50 -602022.43 5680512.07 97.50 -602023.06 5680286.63 97.50 -602023.67 5676577.77 100.00 -602023.71 5680468.70 97.50 -602023.73 5676665.74 98.75 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"./configure" and "make" in the source directory' - exit 1 -fi - -echo "" -echo -n "Linear interpolation..." -../../nnbathy -i data.txt -n "$N"x"$M" -P alg=l > lin.txt -echo "done" -echo -n "Natural Neighbours Sibson interpolation..." -../../nnbathy -i data.txt -n "$N"x"$M" -W 0 > nn.txt -echo "done" -echo "" -echo 'To visualize, in Matlab run "viewexample"' diff --git a/autoarray/util/nn/src/nn/examples/5/viewexample.m b/autoarray/util/nn/src/nn/examples/5/viewexample.m deleted file mode 100644 index 7eab24f3e..000000000 --- a/autoarray/util/nn/src/nn/examples/5/viewexample.m +++ /dev/null @@ -1,23 +0,0 @@ -figure - -subplot(2, 2, 1); -viewinterp2('data.txt', 'lin.txt'); -title('Linear interpolation (contours)'); -pause(0.1); - -subplot(2, 2, 2); -viewinterp('data.txt', 'lin.txt'); -title('Linear interpolation (colour coded image)'); -pause(0.1); - -subplot(2, 2, 3); -viewinterp2('data.txt', 'nn.txt'); -title(sprintf('NN interpolation (contours)')); -pause(0.1); - -subplot(2, 2, 4); -viewinterp('data.txt', 'nn.txt'); -title(sprintf('NN interpolation (colour coded image)')); -pause(0.1); - -suptitle('Interpolation from elevation contours using nnbathy'); diff --git a/autoarray/util/nn/src/nn/examples/5/viewinterp.m b/autoarray/util/nn/src/nn/examples/5/viewinterp.m deleted file mode 100644 index 9d1ef7483..000000000 --- a/autoarray/util/nn/src/nn/examples/5/viewinterp.m +++ /dev/null @@ -1,130 +0,0 @@ -function [h] = viewinterp(fin, fout, verbose) - - if nargin == 2 - verbose = 1; - end - - if verbose - fprintf('plotting data from "%s" and "%s"\n', fin, fout); - fprintf(' reading "%s"...', fin); - end - - data = load(fin); - xin = data(:, 1); - yin = data(:, 2); - - if verbose - fprintf('\n reading "%s"...', fout); - end - - data = load(fout); - x = data(:, 1); - y = data(:, 2); - z = data(:, 3); - clear data; - - if verbose - fprintf('\n'); - end - - if verbose - fprintf(' working out the grid dimensions...') - end - n = length(x); - if x(2) - x(1) ~= 0 & y(2) - y(1) == 0 - xfirst = 1; - xinc = x(2) > x(1); - if xinc - nx = min(find(diff(x) < 0)); - else - nx = min(find(diff(x) > 0)); - end - if mod(n, nx) ~= 0 - error(sprintf('\n Error: could not work out the grid size, n = %d, nx = %d, n / nx = %f\n', n, nx, n / nx)); - end - ny = n / nx; - x = x(1 : nx); - y = y(1 : nx : n); - z = reshape(z, nx, ny)'; - elseif x(2) - x(1) == 0 & y(2) - y(1) ~= 0 - xfirst = 0; - yinc = y(2) > y(1); - if yinc - ny = min(find(diff(y) < 0)); - else - ny = min(find(diff(y) > 0)); - end - if mod(n, ny) ~= 0 - error(sprintf('\n Error: could not work out the grid size, n = %d, ny = %d, n / ny = %.3f\n', n, ny, n / ny)); - end - nx = n / ny; - y = y(1 : ny); - x = x(1 : ny : n); - z = reshape(z, ny, nx); - else - error(' Error: not a rectangular grid'); - end - if verbose - if xfirst - fprintf('%d x %d, stored by rows\n', nx, ny); - else - fprintf('%d x %d, stored by columns\n', nx, ny); - end - end - - if verbose - fprintf(' plotting...'); - end - - h = pcolor_ps(x, y, z); - zrange = [min(min(z)) max(max(z))]; - caxis(zrange); - set(h, 'LineStyle', 'none'); - axis equal; - axis tight; - hold on; - plot(xin, yin, 'w.', 'markersize', 1); - - if verbose - fprintf('\n'); - end - - return - -function [h] = pcolor_ps(x, y, A); - - if nargin == 1 - A = x; - [n, m] = size(A); - xx = (0.5 : m + 0.5)'; - yy = (0.5 : n + 0.5)'; - elseif nargin == 3 - n = length(y); - m = length(x); - A = reshape(A, n, m); % just in case - xx = getcorners(x); - yy = getcorners(y); - else - error(sprintf('\n Error: pcolor_ps(): nargin = %d (expected 1 or 3)\n', nargin)); - end - - TMP = zeros(n + 1, m + 1); - TMP(1 : n, 1 : m) = A; - - if nargout == 0 - pcolor(xx, yy, TMP); - else - h = pcolor(xx, yy, TMP); - end - - return - -function [c] = getcorners(x) - - n = length(x); - c = zeros(n + 1, 1); - c(2 : n) = (x(2 : n) + x(1 : n - 1)) / 2; - c(1) = 2 * x(1) - c(2); - c(n + 1) = 2 * x(n) - c(n); - - return diff --git a/autoarray/util/nn/src/nn/examples/5/viewinterp2.m b/autoarray/util/nn/src/nn/examples/5/viewinterp2.m deleted file mode 100644 index 2e8666c90..000000000 --- a/autoarray/util/nn/src/nn/examples/5/viewinterp2.m +++ /dev/null @@ -1,112 +0,0 @@ -function [h] = viewinterp2(fin, fout, verbose) - - if nargin == 2 - verbose = 1; - end - - if verbose - fprintf('plotting data from "%s" and "%s"\n', fin, fout); - fprintf(' reading "%s"...', fin); - end - - data = load(fin); - xin = data(:, 1); - yin = data(:, 2); - zin = data(:, 3); - zmin = min(zin); - zmax = max(zin); - nz = length(zin); - - if verbose - fprintf('\n reading "%s"...', fout); - end - - data = load(fout); - x = data(:, 1); - y = data(:, 2); - z = data(:, 3); - clear data; - - if verbose - fprintf('\n'); - end - - if verbose - fprintf(' working out the grid dimensions...') - end - n = length(x); - if x(2) - x(1) ~= 0 & y(2) - y(1) == 0 - xfirst = 1; - xinc = x(2) > x(1); - if xinc - nx = min(find(diff(x) < 0)); - else - nx = min(find(diff(x) > 0)); - end - if mod(n, nx) ~= 0 - error(sprintf('\n Error: could not work out the grid size, n = %d, nx = %d, n / nx = %f\n', n, nx, n / nx)); - end - ny = n / nx; - x = x(1 : nx); - y = y(1 : nx : n); - z = reshape(z, nx, ny)'; - elseif x(2) - x(1) == 0 & y(2) - y(1) ~= 0 - xfirst = 0; - yinc = y(2) > y(1); - if yinc - ny = min(find(diff(y) < 0)); - else - ny = min(find(diff(y) > 0)); - end - if mod(n, ny) ~= 0 - error(sprintf('\n Error: could not work out the grid size, n = %d, ny = %d, n / ny = %.3f\n', n, ny, n / ny)); - end - nx = n / ny; - y = y(1 : ny); - x = x(1 : ny : n); - z = reshape(z, ny, nx); - else - error(' Error: not a rectangular grid'); - end - if verbose - if xfirst - fprintf('%d x %d, stored by rows\n', nx, ny); - else - fprintf('%d x %d, stored by columns\n', nx, ny); - end - end - - if verbose - fprintf(sprintf(' plotting "%s"...', fin)); - end - - map = colormap; - hold on; - for i = 1 : nz - plot(xin(i), yin(i), '.', 'color', zcolor(zin(i), zmin, zmax, map), 'markersize', 2); - end - axis equal; - axis tight; - set(gca, 'box', 'on'); - - if verbose - fprintf(sprintf('\n plotting "%s"...', fout)); - end - - dv = floor((zmax - zmin) / 15); - V = [floor(zmin) : dv : ceil(zmax)]; - contour(x, y, z, V, 'k'); - - if verbose - fprintf('\n'); - end - - return - -function c = zcolor(z, zmin, zmax, map) - - ind = floor((z - zmin) / (zmax - zmin) * 64 + 1); - ind = min(ind, 64); - c = map(ind, :); - - return diff --git a/autoarray/util/nn/src/nn/examples/6/README b/autoarray/util/nn/src/nn/examples/6/README deleted file mode 100644 index 6f902471e..000000000 --- a/autoarray/util/nn/src/nn/examples/6/README +++ /dev/null @@ -1,13 +0,0 @@ -This is yet another example based on digitised elevation contours. It provides -a particularly good torture test for the numerics involved in Sibson -interpolation using Watson's method. In fact, it forced me to make changes to -the code that handles degenerate cases during Sibson interpolation in v. 1.69. -Many thanks to Nick Cahill for identifying the problem and providing the data -and to Maciej Sieczka for putting up the bug report. - -To reproduce the example, run "./test.sh" or "make". -To visualize, in Matlab run "viewinterp('data.txt', 'nn.txt');". -To clean up, run "make clean". - -Good luck! -Pavel Sakov diff --git a/autoarray/util/nn/src/nn/examples/6/data.txt b/autoarray/util/nn/src/nn/examples/6/data.txt deleted file mode 100644 index 65203606b..000000000 --- a/autoarray/util/nn/src/nn/examples/6/data.txt +++ /dev/null @@ -1,4485 +0,0 @@ -591042.52505426 4260093.61151167 136 -591062.48303156 4260093.61151167 134 -591074.45781794 4260093.61151167 132 -591124.35276119 4260093.61151167 132 -591150.29813167 4260093.61151167 134 -591152.29392941 4260093.61151167 134 -591154.28972713 4260093.61151167 134 -591156.28552487 4260093.61151167 134 -591158.28132259 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a/autoarray/util/nn/src/nn/examples/6/makefile b/autoarray/util/nn/src/nn/examples/6/makefile deleted file mode 100644 index 8fc41fadc..000000000 --- a/autoarray/util/nn/src/nn/examples/6/makefile +++ /dev/null @@ -1,4 +0,0 @@ -all: - ./test.sh -clean: - rm -f nn.txt *~ core diff --git a/autoarray/util/nn/src/nn/examples/6/test.sh b/autoarray/util/nn/src/nn/examples/6/test.sh deleted file mode 100644 index 9d09e69f3..000000000 --- a/autoarray/util/nn/src/nn/examples/6/test.sh +++ /dev/null @@ -1,15 +0,0 @@ -#!/bin/bash - -if [ ! -x ../../nnbathy ] -then - echo "error: no executable found" - echo 'Run "./configure" and "make" in the source directory' - exit 1 -fi - -echo "" -echo -n "Natural Neighbours Sibson interpolation with -W 0 ..." -../../nnbathy -W 0 -n 152x114 -x 591020.57127923 591321.93673645 -y 4260093.61151167 4259867.85217794 -i data.txt > nn.txt -echo "done" -echo "" -echo 'To visualize, in Matlab run "viewexample"' diff --git a/autoarray/util/nn/src/nn/examples/6/viewexample.m b/autoarray/util/nn/src/nn/examples/6/viewexample.m deleted file mode 100644 index c65efd711..000000000 --- a/autoarray/util/nn/src/nn/examples/6/viewexample.m +++ /dev/null @@ -1 +0,0 @@ -viewinterp('data.txt', 'nn.txt'); diff --git a/autoarray/util/nn/src/nn/examples/6/viewinterp.m b/autoarray/util/nn/src/nn/examples/6/viewinterp.m deleted file mode 100644 index 2c36ec89a..000000000 --- a/autoarray/util/nn/src/nn/examples/6/viewinterp.m +++ /dev/null @@ -1,130 +0,0 @@ -function [h] = viewinterp(fin, fout, verbose) - - if nargin == 2 - verbose = 1; - end - - if verbose - fprintf('plotting data from "%s" and "%s"\n', fin, fout); - fprintf(' reading "%s"...', fin); - end - - data = load(fin); - xin = data(:, 1); - yin = data(:, 2); - - if verbose - fprintf('\n reading "%s"...', fout); - end - - data = load(fout); - x = data(:, 1); - y = data(:, 2); - z = data(:, 3); - clear data; - - if verbose - fprintf('\n'); - end - - if verbose - fprintf(' working out the grid dimensions...') - end - n = length(x); - if x(2) - x(1) ~= 0 & y(2) - y(1) == 0 - xfirst = 1; - xinc = x(2) > x(1); - if xinc - nx = min(find(diff(x) < 0)); - else - nx = min(find(diff(x) > 0)); - end - if mod(n, nx) ~= 0 - error(sprintf('\n Error: could not work out the grid size, n = %d, nx = %d, n / nx = %f\n', n, nx, n / nx)); - end - ny = n / nx; - x = x(1 : nx); - y = y(1 : nx : n); - z = reshape(z, nx, ny)'; - elseif x(2) - x(1) == 0 & y(2) - y(1) ~= 0 - xfirst = 0; - yinc = y(2) > y(1); - if yinc - ny = min(find(diff(y) < 0)); - else - ny = min(find(diff(y) > 0)); - end - if mod(n, ny) ~= 0 - error(sprintf('\n Error: could not work out the grid size, n = %d, ny = %d, n / ny = %.3f\n', n, ny, n / ny)); - end - nx = n / ny; - y = y(1 : ny); - x = x(1 : ny : n); - z = reshape(z, ny, nx); - else - error(' Error: not a rectangular grid'); - end - if verbose - if xfirst - fprintf('%d x %d, stored by rows\n', nx, ny); - else - fprintf('%d x %d, stored by columns\n', nx, ny); - end - end - - if verbose - fprintf(' plotting...'); - end - - h = pcolor_ps(x, y, z); - zrange = [min(min(z)) max(max(z))]; - caxis(zrange); - set(h, 'LineStyle', 'none'); - axis equal; - axis tight; - hold on; - plot(xin, yin, 'k.', 'markersize', 1); - - if verbose - fprintf('\n'); - end - - return - -function [h] = pcolor_ps(x, y, A); - - if nargin == 1 - A = x; - [n, m] = size(A); - xx = (0.5 : m + 0.5)'; - yy = (0.5 : n + 0.5)'; - elseif nargin == 3 - n = length(y); - m = length(x); - A = reshape(A, n, m); % just in case - xx = getcorners(x); - yy = getcorners(y); - else - error(sprintf('\n Error: pcolor_ps(): nargin = %d (expected 1 or 3)\n', nargin)); - end - - TMP = zeros(n + 1, m + 1); - TMP(1 : n, 1 : m) = A; - - if nargout == 0 - pcolor(xx, yy, TMP); - else - h = pcolor(xx, yy, TMP); - end - - return - -function [c] = getcorners(x) - - n = length(x); - c = zeros(n + 1, 1); - c(2 : n) = (x(2 : n) + x(1 : n - 1)) / 2; - c(1) = 2 * x(1) - c(2); - c(n + 1) = 2 * x(n) - c(n); - - return diff --git a/autoarray/util/nn/src/nn/examples/README b/autoarray/util/nn/src/nn/examples/README deleted file mode 100644 index d6ca334f4..000000000 --- a/autoarray/util/nn/src/nn/examples/README +++ /dev/null @@ -1,17 +0,0 @@ -This directory contains some tough (or not so tough) tests based mainly on -some real data (except Examples 1 and 3), on which `nn' has initially failed. -Example 1 is added for a comparison with the `csa' package in the case of -uniformly distributed data. - -Example 1: uniformly distributed random measurements of Franke test fuction. - -Example 2: bathymetry from sonar. - -Example 3: degenerate case: both interpolation points and data points lie in - the nodes of a rectangular grid. - -Example 4: topographic data from a satellite altimeter. - -Example 5: topographic data from digitised contours. - -Example 6: topographic data from digitised contours. diff --git a/autoarray/util/nn/src/nn/hash.c b/autoarray/util/nn/src/nn/hash.c deleted file mode 100644 index 0b420f296..000000000 --- a/autoarray/util/nn/src/nn/hash.c +++ /dev/null @@ -1,841 +0,0 @@ -/****************************************************************************** - * - * File: hash.c - * - * Purpose: Hash table implementation - * - * Author: Jerry Coffin - * - * Description: Public domain code by Jerry Coffin, with improvements by - * HenkJan Wolthuis. - * - * Revisions: 18-09-2002 -- Pavel Sakov: modified - * 07-06-2017 -- Pavel Sakov: changed the hash type from - * unsigned int to uint32_t - * - *****************************************************************************/ - -#include -#include -#include -#include -#include "hash.h" - -#define SIZEOFDOUBLE 8 - -/** A hash table consists of an array of these buckets. - */ -typedef struct ht_bucket { - void* key; - void* data; - int id; /* unique id -- just in case */ - struct ht_bucket* next; -} ht_bucket; - -/** Hash table structure. - * Note that more nodes than `size' can be inserted in the table, - * but performance degrades as this happens. - */ -struct hashtable { - int size; /* table size */ - int n; /* current number of entries */ - int naccum; /* number of inserted entries */ - int nhash; /* number of used table elements */ - ht_keycp cp; - ht_keyeq eq; - ht_key2hash hash; - ht_bucket** table; -}; - -/** Creates a hash table of specified size. - * - * @param size Size of hash table for output points - * @param cp Key copy function - * @param eq Key equality check function - * @param hash Hash value calculation function - */ -hashtable* ht_create(int size, ht_keycp cp, ht_keyeq eq, ht_key2hash hash) -{ - hashtable* table = malloc(sizeof(hashtable)); - ht_bucket** bucket; - int i; - - assert(table != NULL); - - if (size <= 0) { - free(table); - return NULL; - } - - table->size = size; - table->table = malloc(sizeof(ht_bucket*) * size); - assert(table->table != NULL); - bucket = table->table; - - if (bucket == NULL) { - free(table); - return NULL; - } - - for (i = 0; i < size; ++i) - bucket[i] = NULL; - table->n = 0; - table->naccum = 0; - table->nhash = 0; - table->eq = eq; - table->cp = cp; - table->hash = hash; - - return table; -} - -/* Destroys a hash table. - * (Take care of deallocating data by ht_process() prior to destroying the - * table if necessary.) - * - * @param table Hash table to be destroyed - */ -void ht_destroy(hashtable* table) -{ - int i; - - if (table == NULL) - return; - - for (i = 0; i < table->size; ++i) { - ht_bucket* bucket; - - for (bucket = (table->table)[i]; bucket != NULL;) { - ht_bucket* prev = bucket; - - free(bucket->key); - bucket = bucket->next; - free(prev); - } - } - - free(table->table); - free(table); -} - -/* Inserts a new entry into the hash table. - * - * @param table The hash table - * @param key Ponter to entry's key - * @param data Pointer to associated data - * @return Pointer to the old data associated with the key, NULL if the key - * wasn't in the table previously - */ -void* ht_insert(hashtable* table, void* key, void* data) -{ - uint32_t val = table->hash(key) % table->size; - ht_bucket* bucket; - - /* - * NULL means this bucket hasn't been used yet. We'll simply allocate - * space for our new bucket and put our data there, with the table - * pointing at it. - */ - if ((table->table)[val] == NULL) { - bucket = malloc(sizeof(ht_bucket)); - assert(bucket != NULL); - - bucket->key = table->cp(key); - bucket->next = NULL; - bucket->data = data; - bucket->id = table->naccum; - - (table->table)[val] = bucket; - table->n++; - table->naccum++; - table->nhash++; - - return NULL; - } - - /* - * This spot in the table is already in use. See if the current string - * has already been inserted, and if so, return corresponding data. - */ - for (bucket = (table->table)[val]; bucket != NULL; bucket = bucket->next) - if (table->eq(key, bucket->key) == 1) { - void* old_data = bucket->data; - - bucket->data = data; - bucket->id = table->naccum; - table->naccum++; - - return old_data; - } - - /* - * This key must not be in the table yet. We'll add it to the head of - * the list at this spot in the hash table. Speed would be slightly - * improved if the list was kept sorted instead. In this case, this - * code would be moved into the loop above, and the insertion would take - * place as soon as it was determined that the present key in the list - * was larger than this one. - */ - bucket = (ht_bucket*) malloc(sizeof(ht_bucket)); - assert(bucket != NULL); - bucket->key = table->cp(key); - bucket->data = data; - bucket->next = (table->table)[val]; - bucket->id = table->naccum; - - (table->table)[val] = bucket; - table->n++; - table->naccum++; - - return NULL; -} - -/* Returns a pointer to the data associated with a key. If the key has - * not been inserted in the table, returns NULL. - * - * @param table The hash table - * @param key The key - * @return The associated data or NULL - */ -void* ht_find(hashtable* table, void* key) -{ - uint32_t val = table->hash(key) % table->size; - ht_bucket* bucket; - - if ((table->table)[val] == NULL) - return NULL; - - for (bucket = (table->table)[val]; bucket != NULL; bucket = bucket->next) - if (table->eq(key, bucket->key) == 1) - return bucket->data; - - return NULL; -} - -/** Returns id of the bucket associated with a key. If the key has - * not been inserted in the table, returns -1. - * - * @param table The hash table - * @param key The key - * @return id or -1 - */ -int ht_findid(hashtable* table, void* key) -{ - uint32_t val = table->hash(key) % table->size; - ht_bucket* bucket; - - if ((table->table)[val] == NULL) - return -1; - - for (bucket = (table->table)[val]; bucket != NULL; bucket = bucket->next) - if (table->eq(key, bucket->key) == 1) - return bucket->id; - - return -1; -} - -/* Deletes an entry from the table. Returns a pointer to the data that - * was associated with the key so that the calling code can dispose it - * properly. - * - * @param table The hash table - * @param key The key - * @return The associated data or NULL - */ -void* ht_delete(hashtable* table, void* key) -{ - uint32_t val = table->hash(key) % table->size; - ht_bucket* prev; - ht_bucket* bucket; - void* data; - - if ((table->table)[val] == NULL) - return NULL; - - /* - * Traverse the list, keeping track of the previous node in the list. - * When we find the node to delete, we set the previous node's next - * pointer to point to the node after ourself instead. We then delete - * the key from the present node, and return a pointer to the data it - * contains. - */ - for (prev = NULL, bucket = (table->table)[val]; bucket != NULL; prev = bucket, bucket = bucket->next) { - if (table->eq(key, bucket->key) == 1) { - data = bucket->data; - if (prev != NULL) - prev->next = bucket->next; - else { - /* - * If 'prev' still equals NULL, it means that we need to - * delete the first node in the list. This simply consists - * of putting our own 'next' pointer in the array holding - * the head of the list. We then dispose of the current - * node as above. - */ - (table->table)[val] = bucket->next; - table->nhash--; - } - free(bucket->key); - free(bucket); - table->n--; - - return data; - } - } - - /* - * If we get here, it means we didn't find the item in the table. Signal - * this by returning NULL. - */ - return NULL; -} - -/* For each entry, calls a specified function with corresponding data as a - * parameter. - * - * @param table The hash table - * @param func The action function - */ -void ht_process(hashtable* table, void (*func) (void*)) -{ - int i; - - for (i = 0; i < table->size; ++i) - if ((table->table)[i] != NULL) { - ht_bucket* bucket; - - for (bucket = (table->table)[i]; bucket != NULL; bucket = bucket->next) - func(bucket->data); - } -} - -/* - * functions for for string keys - */ - -static uint32_t strhash(void* key) -{ - char* str = key; - uint32_t hashvalue = 0; - - while (*str != 0) { - hashvalue ^= (uint32_t) str[0]; - hashvalue <<= 1; - str++; - } - - return hashvalue; -} - -static void* strcp(void* key) -{ - return strdup(key); -} - -static int streq(void* key1, void* key2) -{ - return !strcmp(key1, key2); -} - -/* functions for for double keys */ - -static uint32_t d1hash(void* key) -{ - uint32_t* v = key; - - return v[0] + v[1]; -} - -static void* d1cp(void* key) -{ - double* newkey = malloc(sizeof(double)); - - *newkey = *(double*) key; - - return newkey; -} - -static int d1eq(void* key1, void* key2) -{ - return *(double*) key1 == *(double*) key2; -} - -/* - * functions for for double[2] keys - */ - -static uint32_t d2hash(void* key) -{ - uint32_t* v = key; - - /* - * PS: here multiplications suppose to make (a,b) and (b,a) generate - * different hash values - */ - return v[0] + v[1] + v[2] * 3 + v[3] * 7; -} - -static void* d2cp(void* key) -{ - double* newkey = malloc(sizeof(double) * 2); - - newkey[0] = ((double*) key)[0]; - newkey[1] = ((double*) key)[1]; - - return newkey; -} - -static int d2eq(void* key1, void* key2) -{ - return (((double*) key1)[0] == ((double*) key2)[0]) && (((double*) key1)[1] == ((double*) key2)[1]); -} - -/* - * functions for for int[1] keys - */ - -static uint32_t i1hash(void* key) -{ - return (uint32_t) ((uint32_t *) key)[0]; -} - -static void* i1cp(void* key) -{ - uint32_t* newkey = malloc(sizeof(int)); - - newkey[0] = ((uint32_t *) key)[0]; - - return newkey; -} - -static int i1eq(void* key1, void* key2) -{ - return (((uint32_t *) key1)[0] == ((uint32_t *) key2)[0]); -} - -/* - * functions for for int[2] keys - */ - -static uint32_t i2hash(void* key) -{ - uint32_t* v = key; - - return v[0] + (v[1] << 16); -} - -static void* i2cp(void* key) -{ - uint32_t* newkey = malloc(sizeof(uint32_t) * 2); - - newkey[0] = ((uint32_t *) key)[0]; - newkey[1] = ((uint32_t *) key)[1]; - - return newkey; -} - -static int i2eq(void* key1, void* key2) -{ - return (((uint32_t *) key1)[0] == ((uint32_t *) key2)[0]) && (((uint32_t *) key1)[1] == ((uint32_t *) key2)[1]); -} - -/* - * functions for for int[1]short[2] keys - */ - -static uint32_t i1s2hash(void* key) -{ - uint32_t* vi = key; - uint16_t* vs = key; - - return vi[0] + ((uint32_t) vs[2] << 16) + ((uint32_t) vs[3] << 24); -} - -static void* i1s2cp(void* key) -{ - uint32_t* newkey = malloc(sizeof(uint32_t) * 2); - uint16_t* s = (uint16_t *) newkey; - - newkey[0] = ((uint32_t *) key)[0]; - s[2] = ((uint16_t *) key)[2]; - s[3] = ((uint16_t *) key)[3]; - - return newkey; -} - -static int i1s2eq(void* key1, void* key2) -{ - return (((uint32_t *) key1)[0] == ((uint32_t *) key2)[0]) && (((uint16_t *) key1)[2] == ((uint16_t *) key2)[2]) && (((uint16_t *) key1)[3] == ((uint16_t *) key2)[3]); -} - -/* - * functions for for short[4] keys - */ - -static uint32_t s4hash(void* key) -{ - uint16_t* v = key; - - return (uint32_t) v[0] + ((uint32_t) v[1] << 8) + ((uint32_t) v[2] << 16) + ((uint32_t) v[3] << 24); -} - -static void* s4cp(void* key) -{ - uint16_t* newkey = malloc(sizeof(short) * 4); - - newkey[0] = ((uint16_t *) key)[0]; - newkey[1] = ((uint16_t *) key)[1]; - newkey[2] = ((uint16_t *) key)[2]; - newkey[3] = ((uint16_t *) key)[3]; - - return newkey; -} - -static int s4eq(void* p1, void* p2) -{ - uint16_t* key1 = (uint16_t *) p1; - uint16_t* key2 = (uint16_t *) p2; - - return (key1[0] == key2[0] && key1[1] == key2[1] && key1[2] == key2[2] && key1[3] == key2[3]); -} - -hashtable* ht_create_d1(int size) -{ - assert(sizeof(double) == SIZEOFDOUBLE); - return ht_create(size, d1cp, d1eq, d1hash); -} - -hashtable* ht_create_d2(int size) -{ - assert(sizeof(double) == SIZEOFDOUBLE); - return ht_create(size, d2cp, d2eq, d2hash); -} - -hashtable* ht_create_str(int size) -{ - return ht_create(size, strcp, streq, strhash); -} - -hashtable* ht_create_i1(int size) -{ - return ht_create(size, i1cp, i1eq, i1hash); -} - -hashtable* ht_create_i2(int size) -{ - return ht_create(size, i2cp, i2eq, i2hash); -} - -hashtable* ht_create_i1s2(int size) -{ - return ht_create(size, i1s2cp, i1s2eq, i1s2hash); -} - -hashtable* ht_create_s4(int size) -{ - return ht_create(size, s4cp, s4eq, s4hash); -} - -int ht_getnentries(hashtable* table) -{ - return table->n; -} - -int ht_getsize(hashtable* table) -{ - return table->size; -} - -int ht_getnfilled(hashtable* table) -{ - return table->nhash; -} - -#if defined(HT_TEST) - -#include -#include - -#define BUFSIZE 1024 - -static void print_double(void* data) -{ - printf(" \"%d\"", (int)* (double*) data); -} - -static void print_string(void* data) -{ - printf(" \"%s\"", (char*) data); -} - -int main() -{ - double points[] = { - 922803.7855, 7372394.688, 0, - 922849.2037, 7372307.027, 1, - 922894.657, 7372219.306, 2, - 922940.1475, 7372131.528, 3, - 922985.6777, 7372043.692, 4, - 923031.2501, 7371955.802, 5, - 923076.8669, 7371867.857, 6, - 923122.5307, 7371779.861, 7, - 923168.2439, 7371691.816, 8, - 923214.0091, 7371603.722, 9, - 923259.8288, 7371515.583, 10, - 922891.3958, 7372440.117, 11, - 922936.873, 7372352.489, 12, - 922982.3839, 7372264.804, 13, - 923027.9308, 7372177.064, 14, - 923073.5159, 7372089.268, 15, - 923119.1415, 7372001.42, 16, - 923164.8099, 7371913.521, 17, - 923210.5233, 7371825.572, 18, - 923256.2841, 7371737.575, 19, - 923302.0946, 7371649.534, 20, - 923347.9572, 7371561.45, 21, - 922978.9747, 7372485.605, 22, - 923024.5085, 7372398.009, 23, - 923070.0748, 7372310.358, 24, - 923115.6759, 7372222.654, 25, - 923161.3136, 7372134.897, 26, - 923206.9903, 7372047.09, 27, - 923252.7079, 7371959.233, 28, - 923298.4686, 7371871.33, 29, - 923344.2745, 7371783.381, 30, - 923390.1279, 7371695.389, 31, - 923436.0309, 7371607.357, 32, - 923066.5232, 7372531.148, 33, - 923112.1115, 7372443.583, 34, - 923157.7311, 7372355.966, 35, - 923203.3842, 7372268.296, 36, - 923249.0725, 7372180.577, 37, - 923294.7981, 7372092.808, 38, - 923340.5628, 7372004.993, 39, - 923386.3686, 7371917.132, 40, - 923432.2176, 7371829.229, 41, - 923478.1116, 7371741.284, 42, - 923524.0527, 7371653.302, 43, - 923154.0423, 7372576.746, 44, - 923199.6831, 7372489.211, 45, - 923245.3541, 7372401.625, 46, - 923291.0572, 7372313.989, 47, - 923336.7941, 7372226.305, 48, - 923382.5667, 7372138.574, 49, - 923428.3766, 7372050.798, 50, - 923474.2256, 7371962.978, 51, - 923520.1155, 7371875.118, 52, - 923566.0481, 7371787.218, 53, - 923612.0252, 7371699.282, 54, - 923241.533, 7372622.396, 55, - 923287.2244, 7372534.889, 56, - 923332.9449, 7372447.334, 57, - 923378.6963, 7372359.731, 58, - 923424.4801, 7372272.081, 59, - 923470.2979, 7372184.385, 60, - 923516.1513, 7372096.646, 61, - 923562.0418, 7372008.866, 62, - 923607.9709, 7371921.046, 63, - 923653.9402, 7371833.188, 64, - 923699.9514, 7371745.296, 65, - 923328.9962, 7372668.095, 66, - 923374.7365, 7372580.617, 67, - 923420.5049, 7372493.091, 68, - 923466.303, 7372405.519, 69, - 923512.1321, 7372317.901, 70, - 923557.9936, 7372230.24, 71, - 923603.8889, 7372142.536, 72, - 923649.8192, 7372054.793, 73, - 923695.786, 7371967.011, 74, - 923741.7905, 7371879.193, 75, - 923787.8341, 7371791.342, 76, - 923416.4327, 7372713.844, 77, - 923462.2204, 7372626.393, 78, - 923508.0353, 7372538.895, 79, - 923553.8787, 7372451.353, 80, - 923599.7517, 7372363.766, 81, - 923645.6555, 7372276.137, 82, - 923691.5914, 7372188.467, 83, - 923737.5603, 7372100.757, 84, - 923783.5634, 7372013.011, 85, - 923829.6017, 7371925.231, 86, - 923875.6763, 7371837.419, 87, - 923503.8433, 7372759.64, 88, - 923549.6771, 7372672.214, 89, - 923595.5372, 7372584.744, 90, - 923641.4246, 7372497.23, 91, - 923687.3404, 7372409.673, 92, - 923733.2855, 7372322.074, 93, - 923779.2608, 7372234.436, 94, - 923825.2672, 7372146.759, 95, - 923871.3056, 7372059.047, 96, - 923917.3766, 7371971.301, 97, - 923963.4812, 7371883.524, 98, - 923591.2288, 7372805.481, 99, - 923637.1076, 7372718.081, 100, - 923683.0118, 7372630.638, 101, - 923728.9423, 7372543.151, 102, - 923774.8998, 7372455.622, 103, - 923820.8852, 7372368.052, 104, - 923866.8991, 7372280.443, 105, - 923912.9422, 7372192.797, 106, - 923959.015, 7372105.116, 107, - 924005.118, 7372017.402, 108, - 924051.2518, 7371929.657, 109, - 923678.5898, 7372851.367, 110, - 923724.5126, 7372763.992, 111, - 923770.46, 7372676.574, 112, - 923816.4328, 7372589.113, 113, - 923862.4314, 7372501.611, 114, - 923908.4564, 7372414.069, 115, - 923954.5083, 7372326.488, 116, - 924000.5875, 7372238.87, 117, - 924046.6941, 7372151.218, 118, - 924092.8286, 7372063.533, 119, - 924138.9911, 7371975.818, 120 - }; - - int size = sizeof(points) / sizeof(double) / 3; - hashtable* ht; - int i; - - /* - * double[2] key - */ - - printf("\n1. Testing a table with key of double[2] type\n\n"); - - printf(" creating a table..."); - ht = ht_create_d2(size); - printf("done\n"); - - printf(" inserting %d values from a data array...", size); - for (i = 0; i < size; ++i) - ht_insert(ht, &points[i * 3], &points[i * 3 + 2]); - printf("done\n"); - - printf(" stats:\n"); - printf(" %d entries, %d table elements, %d filled elements\n", ht->n, ht->size, ht->nhash); - printf(" %f entries per hash value in use\n", (double) ht->n / ht->nhash); - - printf(" finding and printing each 10th data:\n"); - for (i = 0; i < size; i += 10) { - double* point = &points[i * 3]; - double* data = ht_find(ht, point); - - if (data != NULL) - printf(" i = %d; data = \"%d\"\n", i, (int)* data); - else - printf(" i = %d; data = \n", i); - } - - printf(" removing every 3rd element..."); - for (i = 0; i < size; i += 3) { - double* point = &points[i * 3]; - - ht_delete(ht, point); - } - printf("done\n"); - - printf(" stats:\n"); - printf(" %d entries, %d table elements, %d filled elements\n", ht->n, ht->size, ht->nhash); - printf(" %f entries per hash value in use\n", (double) ht->n / ht->nhash); - - printf(" finding and printing each 10th data:\n"); - for (i = 0; i < size; i += 10) { - double* point = &points[i * 3]; - double* data = ht_find(ht, point); - - if (data != NULL) - printf(" i = %d; data = \"%d\"\n", i, (int)* data); - else - printf(" i = %d; data = \n", i); - } - - printf(" printing all data by calling ht_process():\n "); - ht_process(ht, print_double); - - printf("\n destroying the hash table..."); - ht_destroy(ht); - printf("done\n"); - - /* - * char* key - */ - - printf("\n2. Testing a table with key of char* type\n\n"); - - printf(" creating a table..."); - ht = ht_create_str(size); - printf("done\n"); - - printf(" inserting %d elements with deep copy of each data string...", size); - for (i = 0; i < size; ++i) { - char key[BUFSIZE]; - char str[BUFSIZE]; - char* data; - - snprintf(key, BUFSIZE, "%d-th key", i); - snprintf(str, BUFSIZE, "%d-th data", i); - data = strdup(str); - ht_insert(ht, key, data); - } - printf("done\n"); - - printf(" stats:\n"); - printf(" %d entries, %d table elements, %d filled elements\n", ht->n, ht->size, ht->nhash); - printf(" %f entries per hash value in use\n", (double) ht->n / ht->nhash); - - printf(" finding and printing each 10th data:\n"); - for (i = 0; i < size; i += 10) { - char key[BUFSIZE]; - char* data; - - snprintf(key, BUFSIZE, "%d-th key", i); - data = ht_find(ht, key); - if (data != NULL) - printf(" i = %d; data = \"%s\"\n", i, data); - else - printf(" i = %d; data = \n", i); - } - - printf(" removing every 3rd element..."); - for (i = 0; i < size; i += 3) { - char key[BUFSIZE]; - - snprintf(key, BUFSIZE, "%d-th key", i); - free(ht_delete(ht, key)); - } - printf("done\n"); - - printf(" stats:\n"); - printf(" %d entries, %d table elements, %d filled elements\n", ht->n, ht->size, ht->nhash); - printf(" %f entries per hash value in use\n", (double) ht->n / ht->nhash); - - printf(" finding and printing each 10th data:\n"); - for (i = 0; i < size; i += 10) { - char key[BUFSIZE]; - char* data; - - snprintf(key, BUFSIZE, "%d-th key", i); - data = ht_find(ht, key); - if (data != NULL) - printf(" i = %d; data = \"%s\"\n", i, data); - else - printf(" i = %d; data = \n", i); - } - - printf(" printing all data by calling ht_process():\n "); - ht_process(ht, print_string); - - printf("\n freeing the remaining data by calling ht_process()..."); - ht_process(ht, free); - printf("done\n"); - - printf(" destroying the hash table..."); - ht_destroy(ht); - printf("done\n"); - - return 0; -} - -#endif /* HT_TEST */ diff --git a/autoarray/util/nn/src/nn/hash.h b/autoarray/util/nn/src/nn/hash.h deleted file mode 100644 index 32d492126..000000000 --- a/autoarray/util/nn/src/nn/hash.h +++ /dev/null @@ -1,61 +0,0 @@ -/****************************************************************************** - * - * File: hash.h - * - * Purpose: Hash table header - * - * Author: Jerry Coffin - * - * Description: Public domain code by Jerry Coffin, with improvements by - * HenkJan Wolthuis. - * Date last modified: 05-Jul-1997 - * - * Revisions: 18-09-2002 -- Pavel Sakov: modified - * 07-06-2017 -- Pavel Sakov: changed the hash type from - * unsigned int to uint32_t - * - *****************************************************************************/ - -#ifndef _HASH_H -#define _HASH_H - -#include - -struct hashtable; -typedef struct hashtable hashtable; - -/** Copies a key. The key must permit to be deallocated by free(). - */ -typedef void* (*ht_keycp) (void*); - -/** Returns 1 if two keys are equal, 0 otherwise. - */ -typedef int (*ht_keyeq) (void*, void*); - -/** Converts key to an unsigned 32-bit integer (not necessarily unique). - */ -typedef uint32_t(*ht_key2hash) (void*); - -hashtable* ht_create(int size, ht_keycp cp, ht_keyeq eq, ht_key2hash hash); - -/** Create a hash table of specified size and key type. - */ -hashtable* ht_create_d1(int size); /* double[1] */ -hashtable* ht_create_d2(int size); /* double[2] */ -hashtable* ht_create_str(int size); /* char* */ -hashtable* ht_create_i1(int size); /* uint32_t[1] */ -hashtable* ht_create_i2(int size); /* uint32_t[2] */ -hashtable* ht_create_i1s2(int size); /* uint32_t[1]uint16_t[2] */ -hashtable* ht_create_s4(int size); /* uint16_t[4] */ - -void ht_destroy(hashtable* table); -void* ht_insert(hashtable* table, void* key, void* data); -void* ht_find(hashtable* table, void* key); -int ht_findid(hashtable* table, void* key); -void* ht_delete(hashtable* table, void* key); -void ht_process(hashtable* table, void (*func) (void*)); -int ht_getnentries(hashtable* table); -int ht_getsize(hashtable* table); -int ht_getnfilled(hashtable* table); - -#endif /* _HASH_H */ diff --git a/autoarray/util/nn/src/nn/install-sh b/autoarray/util/nn/src/nn/install-sh deleted file mode 100644 index 89fc9b098..000000000 --- a/autoarray/util/nn/src/nn/install-sh +++ /dev/null @@ -1,238 +0,0 @@ -#! /bin/sh -# -# install - install a program, script, or datafile -# This comes from X11R5. -# -# Calling this script install-sh is preferred over install.sh, to prevent -# `make' implicit rules from creating a file called install from it -# when there is no Makefile. -# -# This script is compatible with the BSD install script, but was written -# from scratch. -# - - -# set DOITPROG to echo to test this script - -# Don't use :- since 4.3BSD and earlier shells don't like it. -doit="${DOITPROG-}" - - -# put in absolute paths if you don't have them in your path; or use env. vars. - -mvprog="${MVPROG-mv}" -cpprog="${CPPROG-cp}" -chmodprog="${CHMODPROG-chmod}" -chownprog="${CHOWNPROG-chown}" -chgrpprog="${CHGRPPROG-chgrp}" -stripprog="${STRIPPROG-strip}" -rmprog="${RMPROG-rm}" -mkdirprog="${MKDIRPROG-mkdir}" - -tranformbasename="" -transform_arg="" -instcmd="$mvprog" -chmodcmd="$chmodprog 0755" -chowncmd="" -chgrpcmd="" -stripcmd="" -rmcmd="$rmprog -f" -mvcmd="$mvprog" -src="" -dst="" -dir_arg="" - -while [ x"$1" != x ]; do - case $1 in - -c) instcmd="$cpprog" - shift - continue;; - - -d) dir_arg=true - shift - continue;; - - -m) chmodcmd="$chmodprog $2" - shift - shift - continue;; - - -o) chowncmd="$chownprog $2" - shift - shift - continue;; - - -g) chgrpcmd="$chgrpprog $2" - shift - shift - continue;; - - -s) stripcmd="$stripprog" - shift - continue;; - - -t=*) transformarg=`echo $1 | sed 's/-t=//'` - shift - continue;; - - -b=*) transformbasename=`echo $1 | sed 's/-b=//'` - shift - continue;; - - *) if [ x"$src" = x ] - then - src=$1 - else - # this colon is to work around a 386BSD /bin/sh bug - : - dst=$1 - fi - shift - continue;; - esac -done - -if [ x"$src" = x ] -then - echo "install: no input file specified" - exit 1 -else - true -fi - -if [ x"$dir_arg" != x ]; then - dst=$src - src="" - - if [ -d $dst ]; then - instcmd=: - else - instcmd=mkdir - fi -else - -# Waiting for this to be detected by the "$instcmd $src $dsttmp" command -# might cause directories to be created, which would be especially bad -# if $src (and thus $dsttmp) contains '*'. - - if [ -f $src -o -d $src ] - then - true - else - echo "install: $src does not exist" - exit 1 - fi - - if [ x"$dst" = x ] - then - echo "install: no destination specified" - exit 1 - else - true - fi - -# If destination is a directory, append the input filename; if your system -# does not like double slashes in filenames, you may need to add some logic - - if [ -d $dst ] - then - dst="$dst"/`basename $src` - else - true - fi -fi - -## this sed command emulates the dirname command -dstdir=`echo $dst | sed -e 's,[^/]*$,,;s,/$,,;s,^$,.,'` - -# Make sure that the destination directory exists. -# this part is taken from Noah Friedman's mkinstalldirs script - -# Skip lots of stat calls in the usual case. -if [ ! -d "$dstdir" ]; then -defaultIFS=' -' -IFS="${IFS-${defaultIFS}}" - -oIFS="${IFS}" -# Some sh's can't handle IFS=/ for some reason. -IFS='%' -set - `echo ${dstdir} | sed -e 's@/@%@g' -e 's@^%@/@'` -IFS="${oIFS}" - -pathcomp='' - -while [ $# -ne 0 ] ; do - pathcomp="${pathcomp}${1}" - shift - - if [ ! -d "${pathcomp}" ] ; - then - $mkdirprog "${pathcomp}" - else - true - fi - - pathcomp="${pathcomp}/" -done -fi - -if [ x"$dir_arg" != x ] -then - $doit $instcmd $dst && - - if [ x"$chowncmd" != x ]; then $doit $chowncmd $dst; else true ; fi && - if [ x"$chgrpcmd" != x ]; then $doit $chgrpcmd $dst; else true ; fi && - if [ x"$stripcmd" != x ]; then $doit $stripcmd $dst; else true ; fi && - if [ x"$chmodcmd" != x ]; then $doit $chmodcmd $dst; else true ; fi -else - -# If we're going to rename the final executable, determine the name now. - - if [ x"$transformarg" = x ] - then - dstfile=`basename $dst` - else - dstfile=`basename $dst $transformbasename | - sed $transformarg`$transformbasename - fi - -# don't allow the sed command to completely eliminate the filename - - if [ x"$dstfile" = x ] - then - dstfile=`basename $dst` - else - true - fi - -# Make a temp file name in the proper directory. - - dsttmp=$dstdir/#inst.$$# - -# Move or copy the file name to the temp name - - $doit $instcmd $src $dsttmp && - - trap "rm -f ${dsttmp}" 0 && - -# and set any options; do chmod last to preserve setuid bits - -# If any of these fail, we abort the whole thing. If we want to -# ignore errors from any of these, just make sure not to ignore -# errors from the above "$doit $instcmd $src $dsttmp" command. - - if [ x"$chowncmd" != x ]; then $doit $chowncmd $dsttmp; else true;fi && - if [ x"$chgrpcmd" != x ]; then $doit $chgrpcmd $dsttmp; else true;fi && - if [ x"$stripcmd" != x ]; then $doit $stripcmd $dsttmp; else true;fi && - if [ x"$chmodcmd" != x ]; then $doit $chmodcmd $dsttmp; else true;fi && - -# Now rename the file to the real destination. - - $doit $rmcmd -f $dstdir/$dstfile && - $doit $mvcmd $dsttmp $dstdir/$dstfile - -fi && - - -exit 0 diff --git a/autoarray/util/nn/src/nn/istack.c b/autoarray/util/nn/src/nn/istack.c deleted file mode 100644 index 6b48563ff..000000000 --- a/autoarray/util/nn/src/nn/istack.c +++ /dev/null @@ -1,84 +0,0 @@ -/****************************************************************************** - * - * File: istack.c - * - * Created: 06/06/2001 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: Handling stack of integers - * - * Description: None - * - * Revisions: None - * - *****************************************************************************/ - -#define STACK_NSTART 50 -#define STACK_NINC 50 - -#include -#include -#include "istack.h" -#include "istack_internal.h" - -istack* istack_create(void) -{ - istack* s = malloc(sizeof(istack)); - - s->n = 0; - s->nallocated = STACK_NSTART; - s->v = malloc(STACK_NSTART * sizeof(int)); - return s; -} - -void istack_destroy(istack* s) -{ - if (s != NULL) { - free(s->v); - free(s); - } -} - -void istack_reset(istack* s) -{ - s->n = 0; -} - -int istack_contains(istack* s, int v) -{ - int i; - - for (i = 0; i < s->n; ++i) - if (s->v[i] == v) - return 1; - return 0; -} - -void istack_push(istack* s, int v) -{ - if (s->n == s->nallocated) { - s->nallocated *= 2; - s->v = realloc(s->v, s->nallocated * sizeof(int)); - } - - s->v[s->n] = v; - s->n++; -} - -int istack_pop(istack* s) -{ - s->n--; - return s->v[s->n]; -} - -int istack_getnentries(istack* s) -{ - return s->n; -} - -int* istack_getentries(istack* s) -{ - return s->v; -} diff --git a/autoarray/util/nn/src/nn/istack.h b/autoarray/util/nn/src/nn/istack.h deleted file mode 100644 index f25f6977c..000000000 --- a/autoarray/util/nn/src/nn/istack.h +++ /dev/null @@ -1,34 +0,0 @@ -/****************************************************************************** - * - * File: istack.h - * - * Created: 06/06/2001 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: Header for handling stack of integers. - * - * Description: None - * - * Revisions: None - * - *****************************************************************************/ - -#if !defined(_ISTACK_H) -#define _ISTACK_H - -#if !defined(_ISTACK_STRUCT) -#define _ISTACK_STRUCT -struct istack; -typedef struct istack istack; -#endif - -istack* istack_create(void); -void istack_destroy(istack* s); -void istack_push(istack* s, int v); -int istack_pop(istack* s); -int istack_contains(istack* s, int v); -void istack_reset(istack* s); - -#endif diff --git a/autoarray/util/nn/src/nn/istack_internal.h b/autoarray/util/nn/src/nn/istack_internal.h deleted file mode 100644 index 7c00d3b9c..000000000 --- a/autoarray/util/nn/src/nn/istack_internal.h +++ /dev/null @@ -1,29 +0,0 @@ -/****************************************************************************** - * - * File: istack_internal.h - * - * Created: 05/05/2021 - * - * Author: Pavel Sakov - * BoM - * - * Purpose: Internal header for istack. - * - * Description: None - * - * Revisions: None - * - *****************************************************************************/ - -#if !defined(_ISTACK_INTERNAL_H) -#define _ISTACK_INTERNAL_H - -#include "istack.h" - -struct istack { - int n; - int nallocated; - int* v; -}; - -#endif /* _ISTACK_INTERNAL_H */ diff --git a/autoarray/util/nn/src/nn/lpi.c b/autoarray/util/nn/src/nn/lpi.c deleted file mode 100644 index 2088a8951..000000000 --- a/autoarray/util/nn/src/nn/lpi.c +++ /dev/null @@ -1,157 +0,0 @@ -/****************************************************************************** - * - * File: linear.c - * - * Created: 04/08/2000 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: 2D linear interpolation - * - * Description: `lpi' -- "Linear Point Interpolator" -- is - * a structure for conducting linear interpolation on a given - * data on a "point-to-point" basis. It interpolates linearly - * within each triangle resulted from the Delaunay - * triangluation of input data. `lpi' is much - * faster than all Natural Neighbours interpolators in `nn' - * library. - * - * Revisions: None - * - *****************************************************************************/ - -#include -#include -#include "nan.h" -#include "nn.h" -#include "nncommon.h" -#include "delaunay_internal.h" - -typedef struct { - double w[3]; -} lweights; - -struct lpi { - delaunay* d; - lweights* weights; - int first_id; -}; - -int delaunay_xytoi(delaunay* d, point* p, int seed); - -/* Builds linear interpolator. - * - * @param d Delaunay triangulation - * @return Linear interpolator - */ -lpi* lpi_build(delaunay* d) -{ - int i; - lpi* l = malloc(sizeof(lpi)); - - l->d = d; - l->weights = malloc(d->ntriangles * sizeof(lweights)); - l->first_id = -1; - - for (i = 0; i < d->ntriangles; ++i) { - triangle* t = &d->triangles[i]; - lweights* lw = &l->weights[i]; - double x0 = d->points[t->vids[0]].x; - double y0 = d->points[t->vids[0]].y; - double z0 = d->points[t->vids[0]].z; - double x1 = d->points[t->vids[1]].x; - double y1 = d->points[t->vids[1]].y; - double z1 = d->points[t->vids[1]].z; - double x2 = d->points[t->vids[2]].x; - double y2 = d->points[t->vids[2]].y; - double z2 = d->points[t->vids[2]].z; - double x02 = x0 - x2; - double y02 = y0 - y2; - double z02 = z0 - z2; - double x12 = x1 - x2; - double y12 = y1 - y2; - double z12 = z1 - z2; - - if (y12 != 0.0) { - double y0212 = y02 / y12; - - lw->w[0] = (z02 - z12 * y0212) / (x02 - x12 * y0212); - lw->w[1] = (z12 - lw->w[0] * x12) / y12; - lw->w[2] = (z2 - lw->w[0] * x2 - lw->w[1] * y2); - } else { - double x0212 = x02 / x12; - - lw->w[1] = (z02 - z12 * x0212) / (y02 - y12 * x0212); - lw->w[0] = (z12 - lw->w[1] * y12) / x12; - lw->w[2] = (z2 - lw->w[0] * x2 - lw->w[1] * y2); - } - } - - return l; -} - -/* Destroys linear interpolator. - * - * @param l Structure to be destroyed - */ -void lpi_destroy(lpi* l) -{ - free(l->weights); - free(l); -} - -/* Finds linearly interpolated value in a point. - * - * @param l Linear interpolation - * @param p Point to be interpolated (p->x, p->y -- input; p->z -- output) - */ -void lpi_interpolate_point(lpi* l, point* p) -{ - delaunay* d = l->d; - int tid = delaunay_xytoi(d, p, l->first_id); - - if (tid >= 0) { - lweights* lw = &l->weights[tid]; - - l->first_id = tid; - p->z = p->x * lw->w[0] + p->y * lw->w[1] + lw->w[2]; - } else - p->z = NaN; -} - -/* Linearly interpolates data in an array of points. - * - * @param nin Number of input points - * @param pin Array of input points [pin] - * @param nout Number of ouput points - * @param pout Array of output points [nout] - */ -void lpi_interpolate_points(delaunay* d, int nout, point pout[]) -{ - lpi* l = lpi_build(d); - int seed = 0; - int i; - - if (nn_verbose) { - fprintf(stderr, "xytoi:\n"); - for (i = 0; i < nout; ++i) { - point* p = &pout[i]; - - fprintf(stderr, "(%.7g,%.7g) -> %d\n", p->x, p->y, delaunay_xytoi(d, p, seed)); - } - } - - for (i = 0; i < nout; ++i) - lpi_interpolate_point(l, &pout[i]); - - if (nn_verbose) { - fprintf(stderr, "output:\n"); - for (i = 0; i < nout; ++i) { - point* p = &pout[i];; - fprintf(stderr, " %d:%15.7g %15.7g %15.7g\n", i, p->x, p->y, p->z); - } - } - - lpi_destroy(l); -} diff --git a/autoarray/util/nn/src/nn/makefile.example b/autoarray/util/nn/src/nn/makefile.example deleted file mode 100644 index 6e2738b39..000000000 --- a/autoarray/util/nn/src/nn/makefile.example +++ /dev/null @@ -1,166 +0,0 @@ -SHELL = /bin/sh - -prefix = /usr/local -exec_prefix = ${prefix} -bindir = ${exec_prefix}/bin -libdir = ${exec_prefix}/lib64 -includedir = ${prefix}/include - -INSTALLDIRS =\ -$(bindir)\ -$(libdir)\ -$(includedir) - -INSTALL = /usr/bin/install -c -INSTALL_PROGRAM = ${INSTALL} -INSTALL_DATA = ${INSTALL} -m 644 - -MPI = yes -# only matters if MPI = yes -VIAFILE = no -CC = gcc -CFLAGS = -g -O2 -Wall -pedantic -D_GNU_SOURCE -std=c99 -CFLAGS_TRIANGLE = -O2 -w -ffloat-store -CFLAGS_VULNERABLE = -ffloat-store -LDFLAGS = - -AR = ar -ARFLAGS = cr - -MLIB = -lm - -SRC_LIB =\ -delaunay.c\ -hash.c\ -istack.c\ -lpi.c\ -minell.c\ -nnai.c\ -nnpi.c\ -nncommon.c\ -nncommon-vulnerable.c\ -preader.c\ -version.c - -HDR_LIB =\ -delaunay.h\ -delaunay_internal.h\ -hash.h\ -istack.h\ -istack_internal.h\ -minell.h\ -nan.h\ -nn.h\ -nnpi.h\ -preader.h - -SRC_NNBATHY=\ -nnbathy.c -HDR_NNBATHY = - -PROGRAMS =\ -minell\ -nnbathy - -TESTS=\ -nnai_test\ -nnphi_test\ -ht_test - -OBJ_LIB = $(SRC_LIB:.c=.o) - -all: libnn.a $(PROGRAMS) - -minell: minell.c - $(CC) -o minell minell.c -DME_STANDALONE $(CFLAGS) -I. $(LDFLAGS) $(MLIB) - -ifeq ($(MPI), yes) -delaunay.o: override CC = mpicc -delaunay.o: override CFLAGS += -DMPI -DUSE_SHMEM -nnbathy: override CC = mpicc -nnbathy: override CFLAGS += -DMPI -DUSE_SHMEM -ifeq ($(VIAFILE), yes) -nnbathy: override CFLAGS += -DVIAFILE -SRC_NNBATHY += distribute.c -HDR_NNBATHY += distribute.h -endif -else -nnbathy: override CFLAGS += -DNN_SERIAL -endif - -nnbathy: libnn.a nnbathy.c $(SRC_NNBATHY) $(HDR_NNBATHY) - $(CC) -o nnbathy $(SRC_NNBATHY) $(CFLAGS) -I. $(LDFLAGS) libnn.a $(MLIB) - -standalone: override LDFLAGS+=-static -standalone: $(PROGRAMS) - strip $(PROGRAMS) - -libnn.a: triangle.o $(OBJ_LIB) - $(AR) $(ARFLAGS) libnn.a $(OBJ_LIB) triangle.o - chmod go+r libnn.a - -nncommon-vulnerable.o: override CFLAGS+=$(CFLAGS_VULNERABLE) - -triangle.o: triangle.c triangle.h - $(CC) -c -DTRILIBRARY $(CFLAGS_TRIANGLE) -I. triangle.c - -tests: libnn.a $(TESTS) - -nnai_test: - $(CC) -o nnai_test nnai.c -DNNAI_TEST $(CFLAGS) -I. $(MLIB) libnn.a - -nnphi_test: - $(CC) -o nnphi_test nnpi.c -DNNPHI_TEST $(CFLAGS) -I. $(MLIB) libnn.a - -ht_test: - $(CC) -o ht_test hash.c -DHT_TEST $(CFLAGS) -I. $(MLIB) - -%.o: %.c makefile $(HDR_LIB) - $(CC) $(CFLAGS) -c $< -o $@ - -installdirs: - $(SHELL) mkinstalldirs $(INSTALLDIRS) - -install: all installdirs - for i in libnn.a; do \ - $(INSTALL_DATA) $$i $(libdir)/$$i; \ - done - - for i in nn.h; do \ - $(INSTALL_DATA) $$i $(includedir); \ - done - - for i in $(PROGRAMS); do \ - fname=`basename $$i`; \ - $(INSTALL_PROGRAM) $$i $(bindir); \ - done - -clean: - rm -f *.o libnn.a $(PROGRAMS) $(TESTS) *~ core - -configclean: - rm -f config.h makefile config.cache config.status config.log - -ex1clean: - cd examples/1; make clean; - -ex2clean: - cd examples/2; make clean; - -ex3clean: - cd examples/3; make clean; - -ex4clean: - cd examples/4; make clean; - -ex5clean: - cd examples/5; make clean; - -ex6clean: - cd examples/6; make clean; - -distclean: clean configclean ex1clean ex2clean ex3clean ex4clean ex5clean ex6clean - -indent: - indent -T FILE -T NN_ALGORITHM -T point -T delaunay -Tdsearch -T lpi -T nnpi -T nnhpi -T indexedpoint -T nnai -T ht_bucket -T hashtable -T istack -T triangle -T triangle_neighbours -T circle -T nn_weights -T lweights -T minell -T specs -T reader -T preader -T grid $(SRC_LIB) $(SRC_NNBATHY) $(HDR_NNBATHY) - rm -f *~ diff --git a/autoarray/util/nn/src/nn/makefile.in b/autoarray/util/nn/src/nn/makefile.in deleted file mode 100644 index 0ddfa3c4f..000000000 --- a/autoarray/util/nn/src/nn/makefile.in +++ /dev/null @@ -1,166 +0,0 @@ -SHELL = /bin/sh - -prefix = @prefix@ -exec_prefix = @exec_prefix@ -bindir = @bindir@ -libdir = @libdir@ -includedir = @includedir@ - -INSTALLDIRS =\ -$(bindir)\ -$(libdir)\ -$(includedir) - -INSTALL = @INSTALL@ -INSTALL_PROGRAM = @INSTALL_PROGRAM@ -INSTALL_DATA = @INSTALL_DATA@ - -MPI = no -# only matters if MPI = yes -VIAFILE = no -CC = @CC@ -CFLAGS = @CFLAGS@ -CFLAGS_TRIANGLE = @CFLAGS_TRIANGLE@ -CFLAGS_VULNERABLE = @CFLAGS_VULNERABLE@ -LDFLAGS = @LDFLAGS@ - -AR = @AR@ -ARFLAGS = cr - -MLIB = -lm - -SRC_LIB =\ -delaunay.c\ -hash.c\ -istack.c\ -lpi.c\ -minell.c\ -nnai.c\ -nnpi.c\ -nncommon.c\ -nncommon-vulnerable.c\ -preader.c\ -version.c - -HDR_LIB =\ -delaunay.h\ -delaunay_internal.h\ -hash.h\ -istack.h\ -istack_internal.h\ -minell.h\ -nan.h\ -nn.h\ -nnpi.h\ -preader.h - -SRC_NNBATHY=\ -nnbathy.c -HDR_NNBATHY = - -PROGRAMS =\ -minell\ -nnbathy - -TESTS=\ -nnai_test\ -nnphi_test\ -ht_test - -OBJ_LIB = $(SRC_LIB:.c=.o) - -all: libnn.a $(PROGRAMS) - -minell: minell.c - $(CC) -o minell minell.c -DME_STANDALONE $(CFLAGS) -I. $(LDFLAGS) $(MLIB) - -ifeq ($(MPI), yes) -delaunay.o: override CC = mpicc -delaunay.o: override CFLAGS += -DMPI -DUSE_SHMEM -nnbathy: override CC = mpicc -nnbathy: override CFLAGS += -DMPI -DUSE_SHMEM -ifeq ($(VIAFILE), yes) -nnbathy: override CFLAGS += -DVIAFILE -SRC_NNBATHY += distribute.c -HDR_NNBATHY += distribute.h -endif -else -nnbathy: override CFLAGS += -DNN_SERIAL -endif - -nnbathy: libnn.a nnbathy.c $(SRC_NNBATHY) $(HDR_NNBATHY) - $(CC) -o nnbathy $(SRC_NNBATHY) $(CFLAGS) -I. $(LDFLAGS) libnn.a $(MLIB) - -standalone: override LDFLAGS+=-static -standalone: $(PROGRAMS) - strip $(PROGRAMS) - -libnn.a: triangle.o $(OBJ_LIB) - $(AR) $(ARFLAGS) libnn.a $(OBJ_LIB) triangle.o - chmod go+r libnn.a - -nncommon-vulnerable.o: override CFLAGS+=$(CFLAGS_VULNERABLE) - -triangle.o: triangle.c triangle.h - $(CC) -c -DTRILIBRARY $(CFLAGS_TRIANGLE) -I. triangle.c - -tests: libnn.a $(TESTS) - -nnai_test: - $(CC) -o nnai_test nnai.c -DNNAI_TEST $(CFLAGS) -I. $(MLIB) libnn.a - -nnphi_test: - $(CC) -o nnphi_test nnpi.c -DNNPHI_TEST $(CFLAGS) -I. $(MLIB) libnn.a - -ht_test: - $(CC) -o ht_test hash.c -DHT_TEST $(CFLAGS) -I. $(MLIB) - -%.o: %.c makefile $(HDR_LIB) - $(CC) $(CFLAGS) -c $< -o $@ - -installdirs: - $(SHELL) mkinstalldirs $(INSTALLDIRS) - -install: all installdirs - for i in libnn.a; do \ - $(INSTALL_DATA) $$i $(libdir)/$$i; \ - done - - for i in nn.h; do \ - $(INSTALL_DATA) $$i $(includedir); \ - done - - for i in $(PROGRAMS); do \ - fname=`basename $$i`; \ - $(INSTALL_PROGRAM) $$i $(bindir); \ - done - -clean: - rm -f *.o libnn.a $(PROGRAMS) $(TESTS) *~ core - -configclean: - rm -f config.h makefile config.cache config.status config.log - -ex1clean: - cd examples/1; make clean; - -ex2clean: - cd examples/2; make clean; - -ex3clean: - cd examples/3; make clean; - -ex4clean: - cd examples/4; make clean; - -ex5clean: - cd examples/5; make clean; - -ex6clean: - cd examples/6; make clean; - -distclean: clean configclean ex1clean ex2clean ex3clean ex4clean ex5clean ex6clean - -indent: - indent -T FILE -T NN_ALGORITHM -T point -T delaunay -Tdsearch -T lpi -T nnpi -T nnhpi -T indexedpoint -T nnai -T ht_bucket -T hashtable -T istack -T triangle -T triangle_neighbours -T circle -T nn_weights -T lweights -T minell -T specs -T reader -T preader -T grid $(SRC_LIB) $(SRC_NNBATHY) $(HDR_NNBATHY) - rm -f *~ diff --git a/autoarray/util/nn/src/nn/makefile_autolens b/autoarray/util/nn/src/nn/makefile_autolens deleted file mode 100644 index 2bb80fd33..000000000 --- a/autoarray/util/nn/src/nn/makefile_autolens +++ /dev/null @@ -1,152 +0,0 @@ -SHELL = /bin/sh - -prefix = /usr/local -exec_prefix = ${prefix} -bindir = ${exec_prefix}/bin -libdir = /usr/local/lib -includedir = ${prefix}/include - -INSTALLDIRS =\ -$(bindir)\ -$(libdir)\ -$(includedir) - -INSTALL = /usr/bin/install -c -INSTALL_PROGRAM = ${INSTALL} -INSTALL_DATA = ${INSTALL} -m 644 - -MPI = no -# only matters if MPI = yes -VIAFILE = no -CC = gcc -CFLAGS = -g -O2 -Wall -pedantic -D_GNU_SOURCE -std=c99 -CFLAGS_TRIANGLE = -O2 -w -ffloat-store -CFLAGS_VULNERABLE = -ffloat-store -LDFLAGS = - -AR = ar -ARFLAGS = cr - -MLIB = -lm - -SRC_LIB =\ -delaunay.c\ -hash.c\ -istack.c\ -lpi.c\ -minell.c\ -nnai.c\ -nnpi.c\ -nncommon.c\ -nncommon-vulnerable.c\ -preader.c\ -version.c\ -nnhpi_customized.c - -HDR_LIB =\ -delaunay.h\ -delaunay_internal.h\ -hash.h\ -istack.h\ -istack_internal.h\ -minell.h\ -nan.h\ -nn.h\ -nnpi.h\ -preader.h - -SRC_NNBATHY=\ -nnbathy.c -HDR_NNBATHY = - -PROGRAMS =\ -minell\ -nnbathy\ - -TESTS=\ -nnai_test\ -nnphi_test\ -ht_test - -OBJ_LIB = $(SRC_LIB:.c=.o) - -all: libnn.so libnnhpi_customized.so $(PROGRAMS) - -minell: minell.c - $(CC) -o minell minell.c -DME_STANDALONE $(CFLAGS) -I. $(LDFLAGS) $(MLIB) - -ifeq ($(MPI), yes) -delaunay.o: override CC = mpicc -delaunay.o: override CFLAGS += -DMPI -DUSE_SHMEM -nnbathy: override CC = mpicc -nnbathy: override CFLAGS += -DMPI -DUSE_SHMEM -ifeq ($(VIAFILE), yes) -nnbathy: override CFLAGS += -DVIAFILE -SRC_NNBATHY += distribute.c -HDR_NNBATHY += distribute.h -endif -else -nnbathy: override CFLAGS += -DNN_SERIAL -endif - -nnbathy: libnn.so nnbathy.c $(SRC_NNBATHY) $(HDR_NNBATHY) - $(CC) -o nnbathy $(SRC_NNBATHY) $(CFLAGS) -I. -L. -lnn $(MLIB) - -standalone: override LDFLAGS+=-static -standalone: $(PROGRAMS) - strip $(PROGRAMS) - -libnn.so: triangle.o $(OBJ_LIB) - $(CC) -shared -fPIC -o libnn.so triangle.o $(OBJ_LIB) - -libnnhpi_customized.so: libnn.so nnhpi_customized.o - $(CC) -shared -fPIC -o libnnhpi_customized.so nnhpi_customized.o -I. -L. -lnn $(MLIB) - -nncommon-vulnerable.o: override CFLAGS+=$(CFLAGS_VULNERABLE) - -triangle.o: triangle.c triangle.h - $(CC) -c -DTRILIBRARY $(CFLAGS_TRIANGLE) -I. -fPIC triangle.c - -tests: libnn.so $(TESTS) - -nnai_test: - $(CC) -o nnai_test nnai.c -DNNAI_TEST $(CFLAGS) -I. -L. $(MLIB) -lnn - -nnphi_test: - $(CC) -o nnphi_test nnpi.c -DNNPHI_TEST $(CFLAGS) -I. -L. $(MLIB) -lnn - -ht_test: - $(CC) -o ht_test hash.c -DHT_TEST $(CFLAGS) -I. $(MLIB) - -%.o: %.c makefile $(HDR_LIB) - $(CC) $(CFLAGS) -fPIC -c $< -o $@ - -clean: - rm -f *.o libnn.so libnnhpi_customized.so $(PROGRAMS) $(TESTS) *~ core - -configclean: - rm -f config.h makefile config.cache config.status config.log - -ex1clean: - cd examples/1; make clean; - -ex2clean: - cd examples/2; make clean; - -ex3clean: - cd examples/3; make clean; - -ex4clean: - cd examples/4; make clean; - -ex5clean: - cd examples/5; make clean; - -ex6clean: - cd examples/6; make clean; - -distclean: clean configclean ex1clean ex2clean ex3clean ex4clean ex5clean ex6clean - -indent: - indent -T FILE -T NN_ALGORITHM -T point -T delaunay -Tdsearch -T lpi -T nnpi -T nnhpi -T indexedpoint -T nnai -T ht_bucket -T hashtable -T istack -T triangle -T triangle_neighbours -T circle -T nn_weights -T lweights -T minell -T specs -T reader -T preader -T grid $(SRC_LIB) $(SRC_NNBATHY) $(HDR_NNBATHY) - rm -f *~ diff --git a/autoarray/util/nn/src/nn/minell.c b/autoarray/util/nn/src/nn/minell.c deleted file mode 100644 index 8aa9b7871..000000000 --- a/autoarray/util/nn/src/nn/minell.c +++ /dev/null @@ -1,1310 +0,0 @@ -/****************************************************************************** - * - * File: minell.c - * - * Created: 24/02/2003 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * NERSC - * - * Description: Minimal ellipse stuff: construction of an ellipse of minimal - * area containing a given set of points on a plane. Affine - * transformation that would transform it into a unit circle with - * center in (0,0) and back. - * - * Minimal ellipse is a handy object due to its uniqueness for a - * given set of points (unlike, say, minimal rectangle) and due - * to the speed of construction algorithms. - * - * The minimal ellipse construction is based on Welzl's algorithm, - * - * E. Welzl. Smallest Enclosing Disks (Balls and Ellipsoids). - * LNCS, 555:359--370, 1991. 32 - * http://www.inf.ethz.ch/personal/emo/ps-files/ - * SmallEnclDisks-LNCS555.ps - * - * The original Welzl's algorithm is purely recursive. To improve - * performance, we developed a modified algorithm, when Welzl's - * procedure is called for maximum 6 points at any one time. For - * big datasets, the modified algorithm is 3 to 5 times faster - * than the original one. - * - * The numerics is described in - * - * B. Gartner and S. Schonherr. Smallest enclosing ellipses - fast - * and exact. Serie B - Informatik B 97-03, Freie Universitat - * Berlin, Germany, June 1997. - * http://www.inf.fu-berlin.de/~sven/own_work/ - * smell2exact_tr-b-97-03.ps.gz - * ftp://ftp.inf.fu-berlin.de/pub/reports/tr-b-97-03.ps.gz - * - * or - * - * B. Gartner and S. Schonherr. Exact primitives for smallest - * enclosing ellipses. In Proc. 13th Annu. ACM Symp. on - * Computational Geometry, pages 430-432, 1997. [GS97b] - * http://www.inf.fu-berlin.de/~sven/own_work/ - * smell2exact_socg97.ps.gz - * - * See also - * http://geometryalgorithms.com/Archive/algorithm_0107 - * - * Revisions: PS 27/02/2003 -- improved performance by modifying the algorithm - * - * PS 04/03/2003 -- fixed code in regard to the wrong assumption - * that five support points may originate only - * imediately after test for the fifth point being - * in ellipse defined by four support points - * - * PS 24/09/2008 -- fixed deficiencies in minell_calcprm() - thanks - * to Glen Low for the bug report. - * - *****************************************************************************/ - -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include "config.h" -#include "nan.h" -#include "minell.h" - -#define BIGNUMBER 1.0e+100 -#define SECANT_COUNT_MAX 30 -#define SECANT_EPS 5.0e-11 -#define EPS 1.0e-14 - -static int me_seed = 1; -static int me_classic = 0; -static int me_verbose = 0; - -struct minell { - /* - * support points - */ - int n; - int nprev; - point* points[5]; - - /* - * Center form representation. A point p belongs to minimal ellipse if - * - * (p - c)^T M (p - c) - 1 <= 0, - * - * M = || r t || - * || t s || - */ - point c; /* ellipsoid center */ - double r; - double t; - double s; - - /* - * Some other ellipse parameters (calculated after the ellipse is built) - */ - double theta; /* inclination */ - double a; /* semi-axis length */ - double b; /* semi-axis length */ - - /* - * two conics -- for n = 4 and n = 5 - */ - double dx12; - double dy12; - double d12; - double dx23; - double dy23; - double d23; - double dx34; - double dy34; - double d34; - double dx41; - double dy41; - double d41; - double r1; - double r2; - double s1; - double s2; - double t1; - double t2; - double u1; - double u2; - double v1; - double v2; - double w1; - double w2; - /* - * the two conics are given by: - * - * C1(x,y) = (dy12 * x - dx12 * y + d12) * (dy34 * x - dx34 * y + d34) - * C2(x,y) = (dy23 * x - dx23 * y + d23) * (dy41 * x - dx41 * y + d41) - * - * or - * - * C_i(x,y) = r_i x^2 + s_i y^2 + 2 t_i x y + 2 u_i x + 2 v_i y + w_i - */ - - /* - * some coefficients used in-ellipse tests - */ - double alpha; - double beta; - double gamma; - - /* - * n = 5: conic coefficients - */ - double lambda0; - double mu0; - - /* - * stats - */ - int minell_npoints; - int minell_calc_count; - int minell_calc3_count; - int minell_calc4_count; - int minell_calc5_count; - int minell_eval3_count; - int minell_eval4_count; - int minell_eval5_count; -}; - -/* For a minimal ellipse with 4 support points, finds whether the conic - * through these points and a given fifth point is an ellipse. - */ -static int isellipse(minell* me, point* p) -{ - double x = p->x; - double y = p->y; - - me->mu0 = -(me->dy12 * x - me->dx12 * y + me->d12) * (me->dy34 * x - me->dx34 * y + me->d34); - me->lambda0 = (me->dy23 * x - me->dx23 * y + me->d23) * (me->dy41 * x - me->dx41 * y + me->d41); - - return (me->alpha * me->lambda0 + me->beta * me->mu0) * me->lambda0 + me->gamma * me->mu0 * me->mu0 > 0.0; -} - -/* For a given point, calculates a value correlated with the distance to the - * minimal ellipse boundary. Applicable in the case if there are 4 support - * points AND the conic through these and the tested point is an ellipse only. - * The fifth point is inside the minimal ellipse if the calculated value <= 0. - */ -static double minell_calcinsideeval(minell* me) -{ - double r = me->lambda0 * me->r1 + me->mu0 * me->r2; - double s = me->lambda0 * me->s1 + me->mu0 * me->s2; - double t = me->lambda0 * me->t1 + me->mu0 * me->t2; - double u = me->lambda0 * me->u1 + me->mu0 * me->u2; - double v = me->lambda0 * me->v1 + me->mu0 * me->v2; - double w = me->lambda0 * me->w1 + me->mu0 * me->w2; - double d = r * s - t * t; - double Ds = me->r1 * me->s2 - me->r2 * me->s1; - double Dt = me->r1 * me->t2 - me->r2 * me->t1; - double Du = me->r1 * me->u2 - me->r2 * me->u1; - double Dv = me->r1 * me->v2 - me->r2 * me->v1; - double Dw = me->r1 * me->w2 - me->r2 * me->w1; - double Dd = r * Ds - 2.0 * t * Dt; - double Z = (u * s - 2.0 * v * t) * u + v * v * r; - double DZ = 2.0 * (u * Du * s + v * Dv * r - Du * v * t - u * Dv * t - u * v * Dt) + u * u * Ds; - double delta = 3.0 * Dd * Z + d * (2.0 * d * Dw - Dd * w - 2.0 * DZ); - double ballpark = fabs(3.0 * Dd * Z) + fabs(d) * (fabs(2.0 * d * Dw) + fabs(Dd * w) + fabs(2.0 * DZ)); - - return r * delta / ballpark; -} - -static int minell_containspoint(minell* me, point* p) -{ - int i; - - for (i = 0; i < me->n; ++i) - if (me->points[i]->x == p->x && me->points[i]->y == p->y) - return 1; - - if (me->n < 3) - return 0; - else if (me->n == 3) { - point* c = &me->c; - double dx = p->x - c->x; - double dy = p->y - c->y; - - me->minell_eval3_count++; - - return (me->r * dx + 2.0 * me->t * dy) * dx + me->s * dy * dy - 1.0 <= EPS; - } else if (me->n == 4) { - me->minell_eval4_count++; - - if (!isellipse(me, p)) { - double lambda = 2.0 * me->gamma - me->beta; - double mu = 2.0 * me->alpha - me->beta; - double ballpark = fabs(mu * me->lambda0) + fabs(lambda * me->mu0); - - return mu * me->lambda0 - lambda * me->mu0 <= EPS * ballpark; - } else - return minell_calcinsideeval(me) <= EPS; - } else { /* me->n == 5 */ - double x = p->x; - double y = p->y; - double C1 = (me->dy12 * x - me->dx12 * y + me->d12) * (me->dy34 * x - me->dx34 * y + me->d34) * me->lambda0; - double C2 = (me->dy23 * x - me->dx23 * y + me->d23) * (me->dy41 * x - me->dx41 * y + me->d41) * me->mu0; - double r = me->lambda0 * me->r1 + me->mu0 * me->r2; - double ballpark = (fabs(me->dy12 * x) + fabs(me->dx12 * y) + fabs(me->d12)) * (fabs(me->dy34 * x) + fabs(me->dx34 * y) + fabs(me->d34)) * fabs(me->lambda0) + (fabs(me->dy23 * x) + fabs(me->dx23 * y) + fabs(me->d23)) * (fabs(me->dy41 * x) + fabs(me->dx41 * y) + fabs(me->d41)) * fabs(me->mu0); - - me->minell_eval5_count++; - - if (r > 0.0) - return (C1 + C2) / ballpark <= EPS; - else - return (C1 + C2) / ballpark >= -EPS; - } -} - -static point** points_shuffle(int n, point* p) -{ - int* numbers = malloc(n * sizeof(int)); - point** pp = malloc(n * sizeof(point*)); - int i; - - for (i = 0; i < n; ++i) - numbers[i] = i; - - srand(me_seed); - - for (i = 0; i < n; ++i) { - int nn = (int) ((double) n * (double) rand() / ((double) RAND_MAX + 1.0)); - int tmp = numbers[i]; - - numbers[i] = numbers[nn]; - numbers[nn] = tmp; - } - - for (i = 0; i < n; ++i) - pp[i] = &p[numbers[i]]; - - free(numbers); - - return pp; -} - -static minell* minell_create(void) -{ - minell* me = malloc(sizeof(minell)); - - me->n = 0; - me->nprev = -1; - me->minell_npoints = 0; - me->minell_calc_count = 0; - me->minell_calc3_count = 0; - me->minell_calc4_count = 0; - me->minell_calc5_count = 0; - me->minell_eval3_count = 0; - me->minell_eval4_count = 0; - me->minell_eval5_count = 0; - - return me; -} - -void minell_destroy(minell* me) -{ - if (me != NULL) - free(me); -} - -/* Calculates minimal ellipse by 3 boundary points. - */ -static void minell_calc3(minell* me) -{ - point** points = me->points; - point* c = &me->c; - int i; - - me->minell_calc3_count++; - - /* - * find center - */ - c->x = 0.0; - c->y = 0.0; - c->z = NaN; - for (i = 0; i < 3; ++i) { - c->x += points[i]->x; - c->y += points[i]->y; - } - c->x /= 3.0; - c->y /= 3.0; - - { - double a = 0.0, b = 0.0, d = 0.0; - double D; - - for (i = 0; i < 3; ++i) { - point* p = points[i]; - double dx = p->x - c->x; - double dy = p->y - c->y; - - a += dx * dx; - b += dx * dy; - d += dy * dy; - } - - D = (a * d - b * b) / 1.5; - - if (D == 0.0) { - me->r = d * BIGNUMBER; - me->t = -b * BIGNUMBER; - me->s = a * BIGNUMBER; - } else { - me->r = d / D; - me->t = -b / D; - me->s = a / D; - } - } -} - -/* Calculates whether the point p is on the left side of vector [p0, p1]. - * Returns 1 if on the left side, -1 if on the right side, 0 if on the line. - */ -static int onleftside(point* p, point* p0, point* p1) -{ - double tmp = (p0->x - p->x) * (p1->y - p->y) - (p1->x - p->x) * (p0->y - p->y); - - if (tmp > 0.0) - return 1; - else if (tmp < 0.0) - return -1; - else - return 0; -} - -/* Moves points within in an array (of up to 5 points) so that they become - * aranged in counterclockwise direction. - */ -static void points_makeccw(int n, point* points[]) -{ - point* p; - int i; - - if (n < 3) - return; - - if (onleftside(points[0], points[1], points[2]) < 0) { - p = points[1]; - points[1] = points[2]; - points[2] = p; - } - - if (n == 3) - return; - - for (i = 0; i < 3; ++i) { - int i1 = (i + 1) % 3; - - if (onleftside(points[3], points[i], points[i1]) < 0) - break; - } - - if (i == 3) { - for (i = 0; i < 3; ++i) { - int i1 = (i + 1) % 3; - - if (onleftside(points[3], points[i], points[i1]) <= 0) - break; - } - } - - assert(i < 3); - - if (i == 1) { - p = points[3]; - points[3] = points[2]; - points[2] = p; - } else if (i == 0) { - p = points[3]; - points[3] = points[2]; - points[2] = points[1]; - points[1] = p; - } - - if (n == 4) - return; - - for (i = 0; i < 4; ++i) { - int i1 = (i + 1) % 4; - - if (onleftside(points[4], points[i], points[i1]) < 0) - break; - } - - if (i == 4) { - for (i = 0; i < 4; ++i) { - int i1 = (i + 1) % 4; - - if (onleftside(points[4], points[i], points[i1]) <= 0) - break; - } - } - - assert(i < 4); - - if (i == 2) { - p = points[4]; - points[4] = points[3]; - points[3] = p; - } else if (i == 1) { - p = points[4]; - points[4] = points[3]; - points[3] = points[2]; - points[2] = p; - } else if (i == 0) { - p = points[4]; - points[4] = points[3]; - points[3] = points[2]; - points[2] = points[1]; - points[1] = p; - } -} - -/* Makes some preliminary calculations for a minimal ellipse defined by 4 - * boundary points. - */ -static void minell_calc4(minell* me) -{ - point** points = me->points; - - me->minell_calc4_count++; - - /* - * make sure the 4 points are in counterclockwise order - */ - points_makeccw(me->n, me->points); - - me->dx12 = points[0]->x - points[1]->x; - me->dy12 = points[0]->y - points[1]->y; - me->d12 = points[0]->x * points[1]->y - points[1]->x * points[0]->y; - - me->dx23 = points[1]->x - points[2]->x; - me->dy23 = points[1]->y - points[2]->y; - me->d23 = points[1]->x * points[2]->y - points[2]->x * points[1]->y; - - me->dx34 = points[2]->x - points[3]->x; - me->dy34 = points[2]->y - points[3]->y; - me->d34 = points[2]->x * points[3]->y - points[3]->x * points[2]->y; - - me->dx41 = points[3]->x - points[0]->x; - me->dy41 = points[3]->y - points[0]->y; - me->d41 = points[3]->x * points[0]->y - points[0]->x * points[3]->y; - - me->r1 = me->dy12 * me->dy34; - me->s1 = me->dx12 * me->dx34; - me->t1 = -(me->dx12 * me->dy34 + me->dx34 * me->dy12) / 2.0; - me->u1 = (me->dy12 * me->d34 + me->dy34 * me->d12) / 2.0; - me->v1 = -(me->dx12 * me->d34 + me->dx34 * me->d12) / 2.0; - me->w1 = me->d12 * me->d34; - - me->r2 = me->dy23 * me->dy41; - me->s2 = me->dx23 * me->dx41; - me->t2 = -(me->dx23 * me->dy41 + me->dx41 * me->dy23) / 2.0; - me->u2 = (me->dy23 * me->d41 + me->dy41 * me->d23) / 2.0; - me->v2 = -(me->dx23 * me->d41 + me->dx41 * me->d23) / 2.0; - me->w2 = me->d23 * me->d41; - - me->alpha = me->r1 * me->s1 - me->t1 * me->t1; - me->beta = me->r1 * me->s2 + me->r2 * me->s1 - 2.0 * me->t1 * me->t2; - me->gamma = me->r2 * me->s2 - me->t2 * me->t2; -} - -static void minell_calcb(minell* me, int nb, point* pointsb[]) -{ - int i; - - me->nprev = me->n; - me->n = nb; - for (i = 0; i < nb; ++i) - me->points[i] = pointsb[i]; - - if (nb < 3) - return; - else if (nb == 3) - minell_calc3(me); - else if (nb == 4) - minell_calc4(me); - else if (me->nprev == 5) { /* nb == 5 */ - /* - * (should never happen according to B. Gartner and S. Schonherr, - * "Smallest enclosing ellipses - fast and exact", but life is not - * always like this...) - */ - me->minell_calc5_count++; - minell_calcb(me, 4, pointsb); - (void) minell_containspoint(me, pointsb[4]); - me->n = 5; - me->nprev = 4; - } -} - -/* Moves the last point to the front of the point pointer array. - */ -static void points_movelasttofront(point** points, int n) -{ - point* p = points[n - 1]; - - memmove(&points[1], points, (n - 1) * sizeof(point*)); - points[0] = p; -} - -static double distance(point* p1, point* p2) -{ - return hypot(p1->x - p2->x, p1->y - p2->y); -} - -/* For a minimal ellipse defined by 4 boundary points, finds a fifth point - * on the boundary. - * Note: may need some tuning. - */ -static void minell_findfifthpoint(minell* me) -{ - point** ps = me->points; - int factor = 5; - int offset = 0; - double x1, y1, x2, y2; - double dx21, dy21; - point p; - point p1, p2; - double f1, f2; - double xprev = NaN; - int count; - int i; - - /* - * for the quadrilateral formed by four boundary points, choose a pair of - * opposite edges that does not include the edge of minimal length to - * reduce loss of precision in the case if there is an edge of nearly zero - * length - */ - { - double mindist = DBL_MAX; - - for (i = 0; i < 4; ++i) { - int i1 = (i + 1) % 4; - double dist = distance(ps[i], ps[i1]); - - if (dist < mindist) { - mindist = dist; - offset = i1 % 2; - } - } - } - - /* - * take middle points of the chosen edges - */ - if (offset == 0) { - x1 = (ps[2]->x + ps[3]->x) / 2.0; - y1 = (ps[2]->y + ps[3]->y) / 2.0; - x2 = (ps[0]->x + ps[1]->x) / 2.0; - y2 = (ps[0]->y + ps[1]->y) / 2.0; - } else { - x1 = (ps[3]->x + ps[0]->x) / 2.0; - y1 = (ps[3]->y + ps[0]->y) / 2.0; - x2 = (ps[1]->x + ps[2]->x) / 2.0; - y2 = (ps[1]->y + ps[2]->y) / 2.0; - } - dx21 = x2 - x1; - dy21 = y2 - y1; - - /* - * on the line connecting the middle points, find a point p1 such that the - * conic through it + four boundary points is an ellipse - */ - do { - double dx, dy; - - p1.x = x2; - p1.y = y2; - - factor *= 2; - dx = dx21 / (double) factor; - dy = dy21 / (double) factor; - - for (i = 0; i < factor; ++i) { - p1.x += dx; - p1.y += dy; - if (isellipse(me, &p1)) - break; - } - } while (i == factor); - - f1 = minell_calcinsideeval(me); - f2 = f1; - - /* - * find a point p2 such that p1 and p2 are on different sides of the - * minimal ellipse boundary - */ - do { - int inside = (f1 < 0.0) ? 1 : -1; - double dx, dy; - - p2.x = p1.x; - p2.y = p1.y; - - factor *= 2; - dx = dx21 * (double) inside / (double) factor; - dy = dy21 * (double) inside / (double) factor; - - for (i = 0; i < factor; ++i) { - p2.x += dx; - p2.y += dy; - if (!isellipse(me, &p2)) - break; - f2 = minell_calcinsideeval(me); - if (f1 * f2 <= 0.0) - break; - } - } while (f1 * f2 > 0.0); - - /* - * OK, now squeeze it to death - */ - x2 = 1.0; - x1 = 0.0; - xprev = NaN; - count = 0; - while (count < SECANT_COUNT_MAX) { - double x = (f2 * x1 - f1 * x2) / (f2 - f1); - double f; - int ok; - - p.x = p2.x * x + p1.x * (1.0 - x); - p.y = p2.y * x + p1.y * (1.0 - x); - - ok = isellipse(me, &p); - assert(ok); - - f = minell_calcinsideeval(me); - - if (f == 0.0 || fabs(x - xprev) < SECANT_EPS) - break; - - if (f * f1 > 0.0) { - x1 = x2; - f1 = f2; - x2 = x; - f2 = f; - } else { - x2 = x1; - f2 = f1; - x1 = x; - f1 = f; - } - - xprev = x; - count++; - } - if (me_verbose > 1) - fprintf(stderr, "minimal ellipse: find fifth point: count = %d\n", count); -} - -static void minell_center2human(minell* me) -{ - double sum = me->r + me->s; - double diff = me->r - me->s; - double sqr = hypot(diff, 2.0 * me->t); - double a = (sum - sqr) / 2.0; - double b = (sum + sqr) / 2.0; - - me->a = sqrt(1.0 / a); - me->b = sqrt(1.0 / b); - - if (a == b) { - me->theta = 0.0; - return; - } - - me->theta = -asin(2.0 * me->t / sqr) / 2.0; - if (me->s < me->r) { /* cos(2 theta) < 0 */ - if (me->theta > 0) - me->theta = M_PI / 2.0 - me->theta; - else - me->theta = -M_PI / 2.0 - me->theta; - } -} - -/* Calculates human-form parameters of the minimal ellipse from whatever is - * available. - */ -static void minell_calcprm(minell* me) -{ - point** ps = me->points; - - me->c.z = NaN; - if (me->n == 0) { - me->c.x = NaN; - me->c.y = NaN; - me->a = NaN; - me->b = NaN; - me->theta = NaN; - } else if (me->n == 1) { - me->c.x = ps[0]->x; - me->c.y = ps[0]->y; - me->a = 0.0; - me->b = 0.0; - me->theta = 0.0; - } else if (me->n == 2) { - me->c.x = (ps[0]->x + ps[1]->x) / 2.0; - me->c.y = (ps[0]->y + ps[1]->y) / 2.0; - me->a = hypot(me->c.x - ps[0]->x, me->c.y - ps[0]->y); - me->b = 0.0; - me->theta = atan((ps[0]->y - ps[1]->y) / (ps[0]->x - ps[1]->x)); - } else if (me->n == 3) { - minell_center2human(me); - } else { - if (me->n == 4) - minell_findfifthpoint(me); - /* - * We have 4 explicit points on the boundary of the minimal ellipse. - * Because the last tested point is on the boundary, lambda0 and mu0 - * give us the coefficients for the minimal ellipse conic. - */ - { - double r = me->lambda0 * me->r1 + me->mu0 * me->r2; - double s = me->lambda0 * me->s1 + me->mu0 * me->s2; - double t = me->lambda0 * me->t1 + me->mu0 * me->t2; - double u = me->lambda0 * me->u1 + me->mu0 * me->u2; - double v = me->lambda0 * me->v1 + me->mu0 * me->v2; - double w = me->lambda0 * me->w1 + me->mu0 * me->w2; - double d = r * s - t * t; - double z; - - me->c.x = (t * v - s * u) / d; - me->c.y = (t * u - r * v) / d; - - z = (u * (u * s - 2.0 * v * t) + v * v * r) / d - w; - - me->r = r / z; - me->s = s / z; - me->t = t / z; - - assert(me->r > 0.0); - assert(me->s > 0.0); - } - minell_center2human(me); - } -} - -static void minell_info(minell* me, FILE* f) -{ - int i; - - fprintf(f, "minimal ellipse: info:\n"); - fprintf(f, " defined by %d points:\n", me->n); - for (i = 0; i < me->n; ++i) { - point* p = me->points[i]; - - fprintf(f, " point %d: (%.15g, %.15g)\n", i, p->x, p->y); - } - fprintf(f, " center = (%.15g, %.15g)\n", me->c.x, me->c.y); - fprintf(f, " semiaxis a = %.15g (inclination = %.15g deg)\n", me->a, me->theta * 180.0 / M_PI); - fprintf(f, " semiaxis b = %.15g\n", me->b); -} - -/* Recursively calculates minimal ellipse by Welzl's algorithm. - */ -static void minell_calc_welzl(minell* me, int n, point* points[], int nb, point* pointsb[]) -{ - point* p; - int count; - - me->minell_calc_count++; - count = me->minell_calc_count; - - if (me_verbose > 1) { - int i; - - fprintf(stderr, "%d: %d | %d\n", count, n, nb); - fprintf(stderr, " pointsb:\n"); - fprintf(stderr, " x = ["); - for (i = 0; i < nb; ++i) - fprintf(stderr, "%.4f ", pointsb[i]->x); - fprintf(stderr, "];\n"); - fprintf(stderr, " y = ["); - for (i = 0; i < nb; ++i) - fprintf(stderr, "%.4f ", pointsb[i]->y); - fprintf(stderr, "];\n"); - - fflush(stderr); - } - - if (n == 0 || nb == 5) { - /* - * This is the only location where the ellipse (`me') gets - * calculated. It then is passed up the stack of resursive - * procedures to check that all data points do belong to it. - */ - minell_calcb(me, nb, pointsb); - - if (me_verbose > 2) { - minell_calcprm(me); - minell_info(me, stderr); - } - - return; - } - - p = points[n - 1]; - minell_calc_welzl(me, n - 1, points, nb, pointsb); - - if (me_verbose > 1) { - int i; - - fprintf(stderr, "%d: %d | %d\n", count, n, nb); - fprintf(stderr, " me->points:\n"); - fprintf(stderr, " x = ["); - for (i = 0; i < me->n; ++i) - fprintf(stderr, "%.4f ", me->points[i]->x); - fprintf(stderr, "];\n"); - fprintf(stderr, " y = ["); - for (i = 0; i < me->n; ++i) - fprintf(stderr, "%.4f ", me->points[i]->y); - fprintf(stderr, "];\n"); - } - - if (minell_containspoint(me, p)) { - if (me_verbose > 1) { - fprintf(stderr, " p = (%.4f, %.4f) : IN\n", p->x, p->y); - fflush(stderr); - } - return; - } else { - if (me_verbose > 1) { - fprintf(stderr, " p = (%.4f, %.4f) : OUT\n", p->x, p->y); - fflush(stderr); - } - - /* - * OK, the point does not belong to the ellipse. Add it to the list - * of boundary points and recalculate the ellipse. - */ - - pointsb[nb] = p; - - minell_calc_welzl(me, n - 1, points, nb + 1, pointsb); - - /* - * This operation by Welzl greatly reduces (by 5-10 times) the number - * of recursive calls and in-ellipse tests (although it has n^2 - * flavour). - */ - if (me_classic) - points_movelasttofront(points, n); - } -} - -/* This improvement to the direct call of the Welzl's recursive algorithm - * is based on the observation that when an in-ellipse test fails, almost - * always the new ellipse's support points will include the new point and - * some of the former support points only. It therefore avoids making - * in-ellipse check for all processed points each time a new point is added to - * the boundary. Instead, it carries on until all points are verified to be - * inside the calculated ellipse. - */ -static void minell_calc(minell* me, int n, point* points[]) -{ - int nin; - int i; - - for (i = 0, nin = 0; nin < n; i = (i + 1) % n) { - point* pointstocheck[5]; - point* pointsonboundary[5]; - int j; - - if (minell_containspoint(me, points[i])) { - nin++; - continue; - } - - if (me_verbose > 1) - fprintf(stderr, "*** calc --> welzl ***\n"); - - nin = 0; - - pointsonboundary[0] = points[i]; - for (j = 0; j < me->n; ++j) - pointstocheck[j] = me->points[j]; - - minell_calc_welzl(me, me->n, pointstocheck, 1, pointsonboundary); - } -} - -minell* minell_build(int n, point p[]) -{ - point** pp = points_shuffle(n, p); - minell* me = minell_create(); - - me->minell_npoints = n; - - if (me_classic) { - point* pointsb[5]; - - minell_calc_welzl(me, n, pp, 0, pointsb); - } else - minell_calc(me, n, pp); - - free(pp); - - minell_calcprm(me); - - return me; -} - -/* For given points, applies an affine transformation that would transfer a - * given ellipse into a unit circle with center in (0,0). - */ -void minell_scalepoints(minell* me, int n, point points[]) -{ - double _cos = cos(me->theta); - double _sin = sin(me->theta); - double a = me->a; - double b = me->b; - double x0 = me->c.x; - double y0 = me->c.y; - int i; - - for (i = 0; i < n; ++i) { - point* p = &points[i]; - double x = p->x - x0; - double y = p->y - y0; - - p->x = (x * _cos - y * _sin) / a; - p->y = (x * _sin + y * _cos) / b; - } -} - -/* For given points, applies an affine transformation inverse to the previous - * one. - */ -void minell_rescalepoints(minell* me, int n, point points[]) -{ - double _cos = cos(me->theta); - double _sin = sin(me->theta); - double a = me->a; - double b = me->b; - double x0 = me->c.x; - double y0 = me->c.y; - int i; - - for (i = 0; i < n; ++i) { - point* p = &points[i]; - double x = p->x * a; - double y = p->y * b; - - p->x = (x * _cos + y * _sin) + x0; - p->y = (-x * _sin + y * _cos) + y0; - } -} - -#if defined(ME_STANDALONE) - -#include - -int userandomseed = 0; -int test = 0; - -#define NTEST 1000 - -static void minell_quit(char* format, ...) -{ - va_list args; - - fflush(stdout); - fprintf(stderr, "error: minimal ellipse: "); - va_start(args, format); - vfprintf(stderr, format, args); - va_end(args); - - exit(1); -} - -static void minell_stats(minell* me, FILE* f) -{ - fprintf(f, "minimal ellipse: stats:\n"); - fprintf(f, " built over %d points\n", me->minell_npoints); - fprintf(f, " by %sWelzl's algorithm\n", (me_classic) ? "" : "modified "); - if (me_verbose && me_seed != 1) - fprintf(f, " seed = %d\n", me_seed); - fprintf(f, " %d calls to Welzl's procedure\n", me->minell_calc_count); - fprintf(f, " computed by 3 points: %d times\n", me->minell_calc3_count); - fprintf(f, " computed by 4 points: %d times\n", me->minell_calc4_count); - fprintf(f, " computed by 5 points: %d times\n", me->minell_calc5_count); - fprintf(f, " in-ellipse test by 3 points: %d times\n", me->minell_eval3_count); - fprintf(f, " in-ellipse test by 4 points: %d times\n", me->minell_eval4_count); - fprintf(f, " in-ellipse test by 5 points: %d times\n", me->minell_eval5_count); -} - -static void usage() -{ - printf("Usage: minell [-c] [-r|-s ] [-t] [-v|-V]\n"); - printf(" -- data file with X and Y coords in the first two columns\n"); - printf(" (use \"stdin\" or \"-\" for standard input)\n"); - printf("Options:\n"); - printf(" -c -- use classic algorithm by Welzl\n"); - printf(" -r -- use random seed at shuffling the input points\n"); - printf(" -s -- use this seed at shuffling the input points\n"); - printf(" -t -- produce stats by running 1000 times with seed changing from\n"); - printf(" 1 (unless explicitely specified) to 1000\n"); - printf(" -v -- verbose\n"); - printf(" -V -- very verbose\n"); - printf(" -VV -- even more verbose\n"); - printf("Description: `minell' calculates and prints parameters of the ellipse of\n"); - printf(" minimal area containing specified points.\n"); - - exit(0); -} - -static void parse_commandline(int argc, char* argv[], char** fname) -{ - int i; - - *fname = NULL; - - i = 1; - while (i < argc) { - if (argv[i][0] != '-') { - if (*fname == NULL) { - *fname = argv[i]; - i++; - } else - usage(); - } else { - switch (argv[i][1]) { - case 0: - if (*fname == NULL) { - *fname = argv[i]; - i++; - } else - usage(); - break; - case 'c': - me_classic = 1; - i++; - break; - case 'r': - userandomseed = 1; - i++; - break; - case 's': - i++; - if (i >= argc) - minell_quit("could not read random seed after \"-s\"\n"); - me_seed = atoi(argv[i]); - userandomseed = 0; - i++; - break; - case 't': - test = 1; - i++; - break; - case 'v': - me_verbose = 1; - i++; - break; - case 'V': - if (argv[i][2] == 'V') - me_verbose = 3; - else - me_verbose = 2; - i++; - break; - default: - usage(); - break; - } - } - } -} - -static int str2double(char* token, double* value) -{ - char* end = NULL; - - if (token == NULL) { - *value = NaN; - return 0; - } - - *value = strtod(token, &end); - - if (end == token) { - *value = NaN; - return 0; - } - - return 1; -} - -#define NALLOCATED_START 1024 -#define BUFSIZE 10240 - -/* Reads array of points from a columnar file. - * - * @param fname File name (can be "stdin" or "-" for standard input) - * @param dim Number of dimensions (must be 2 or 3) - * @param n Pointer to number of points (output) - * @param points Pointer to array of points [*n] (output) (to be freed) - */ -static void points_read(char* fname, int dim, int* n, point** points) -{ - FILE* f = NULL; - int nallocated = NALLOCATED_START; - char buf[BUFSIZE]; - char seps[] = " ,;\t"; - char* token; - - if (dim < 2 || dim > 3) { - *n = 0; - *points = NULL; - return; - } - - if (fname == NULL) - f = stdin; - else { - if (strcmp(fname, "stdin") == 0 || strcmp(fname, "-") == 0) - f = stdin; - else { - f = fopen(fname, "r"); - if (f == NULL) - minell_quit("%s: %s\n", fname, strerror(errno)); - } - } - - *points = malloc(nallocated * sizeof(point)); - *n = 0; - while (fgets(buf, BUFSIZE, f) != NULL) { - point* p; - - if (*n == nallocated) { - nallocated *= 2; - *points = realloc(*points, nallocated * sizeof(point)); - } - - p = &(*points)[*n]; - - if (buf[0] == '#') - continue; - if ((token = strtok(buf, seps)) == NULL) - continue; - if (!str2double(token, &p->x)) - continue; - if ((token = strtok(NULL, seps)) == NULL) - continue; - if (!str2double(token, &p->y)) - continue; - if (dim == 2) - p->z = NaN; - else { - if ((token = strtok(NULL, seps)) == NULL) - continue; - if (!str2double(token, &p->z)) - continue; - } - (*n)++; - } - - if (*n == 0) { - free(*points); - *points = NULL; - } else - *points = realloc(*points, *n * sizeof(point)); - - if (f != stdin) - if (fclose(f) != 0) - minell_quit("%s: %s\n", fname, strerror(errno)); -} - -int main(int argc, char* argv[]) -{ - char* fname = NULL; - int npoints = 0; - point* points = NULL; - minell* me = NULL; - struct timeval tv0, tv1; - struct timezone tz; - - parse_commandline(argc, argv, &fname); - - if (fname == NULL) { - fprintf(stderr, "error: minimal ellipse: no input data\n"); - usage(); - } - - points_read(fname, 2, &npoints, &points); - - gettimeofday(&tv0, &tz); - - if (userandomseed) - me_seed = tv0.tv_usec % INT_MAX; - - if (!test) { - me = minell_build(npoints, points); - - gettimeofday(&tv1, &tz); - - minell_info(me, stdout); - if (me_verbose) { - long dt = 1000000 * (tv1.tv_sec - tv0.tv_sec) + tv1.tv_usec - tv0.tv_usec; - - minell_stats(me, stdout); - fprintf(stdout, "minimal ellipse: elapsed time = %ld us\n", dt); - } - - minell_destroy(me); - } else { - int minell_calc_count = 0; - int minell_calc3_count = 0; - int minell_calc4_count = 0; - int minell_calc5_count = 0; - int minell_eval3_count = 0; - int minell_eval4_count = 0; - int minell_eval5_count = 0; - long dt; - int i; - - for (i = 0; i < NTEST; ++i, ++me_seed) { - me = minell_build(npoints, points); - - minell_calc_count += me->minell_calc_count; - minell_calc3_count += me->minell_calc3_count; - minell_calc4_count += me->minell_calc4_count; - minell_calc5_count += me->minell_calc5_count; - minell_eval3_count += me->minell_eval3_count; - minell_eval4_count += me->minell_eval4_count; - minell_eval5_count += me->minell_eval5_count; - - minell_destroy(me); - } - - gettimeofday(&tv1, &tz); - dt = 1000000 * (tv1.tv_sec - tv0.tv_sec) + tv1.tv_usec - tv0.tv_usec; - fprintf(stdout, "minimal ellipse:\n"); - fprintf(stdout, " average build time = %ld us\n", dt / NTEST); - fprintf(stdout, " average number of calls to Welzl's procedure = %d\n", minell_calc_count / NTEST); - fprintf(stdout, " average number of ellipses built by 3 support points = %d\n", minell_calc3_count / NTEST); - fprintf(stdout, " average number of ellipses built by 4 support points = %d\n", minell_calc4_count / NTEST); - fprintf(stdout, " average number of in-ellipse test by 3 support points = %d\n", minell_eval3_count / NTEST); - fprintf(stdout, " average number of in-ellipse test by 4 support points = %d\n", minell_eval4_count / NTEST); - fprintf(stdout, " average number of in-ellipse test by 5 support points = %d\n", minell_eval5_count / NTEST); - } - - if (points != NULL) - free(points); - - return 0; -} - -#endif /* ME_UTIL */ diff --git a/autoarray/util/nn/src/nn/minell.h b/autoarray/util/nn/src/nn/minell.h deleted file mode 100644 index bb82ac44b..000000000 --- a/autoarray/util/nn/src/nn/minell.h +++ /dev/null @@ -1,40 +0,0 @@ -/****************************************************************************** - * - * File: minell.h - * - * Created: 24/02/2003 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: A header for the minimal ellipse stuff - * - * Revisions: None - * - *****************************************************************************/ - -#if !defined(_MINELL_H) -#define _MINELL_H - -#if !defined(_STRUCT_POINT) -#define _STRUCT_POINT -typedef struct { - double x; - double y; - double z; -} point; -#endif - -#if !defined(_MINELL_STRUCT) -#define _MINELL_STRUCT -struct minell; -typedef struct minell minell; -#endif - -/* Note that minell_build() shuffles the input point array */ -minell* minell_build(int n, point p[]); -void minell_destroy(minell* me); -void minell_scalepoints(minell* me, int n, point p[]); -void minell_rescalepoints(minell* me, int n, point p[]); - -#endif diff --git a/autoarray/util/nn/src/nn/mkinstalldirs b/autoarray/util/nn/src/nn/mkinstalldirs deleted file mode 100644 index f945dbf2b..000000000 --- a/autoarray/util/nn/src/nn/mkinstalldirs +++ /dev/null @@ -1,38 +0,0 @@ -#! /bin/sh -# mkinstalldirs --- make directory hierarchy -# Author: Noah Friedman -# Created: 1993-05-16 -# Public domain - -errstatus=0 - -for file -do - set fnord `echo ":$file" | sed -ne 's/^:\//#/;s/^://;s/\// /g;s/^#/\//;p'` - shift - - pathcomp= - for d - do - pathcomp="$pathcomp$d" - case "$pathcomp" in - -* ) pathcomp=./$pathcomp ;; - esac - - if test ! -d "$pathcomp"; then - echo "mkdir $pathcomp" 1>&2 - - mkdir "$pathcomp" || lasterr=$? - - if test ! -d "$pathcomp"; then - errstatus=$lasterr - fi - fi - - pathcomp="$pathcomp/" - done -done - -exit $errstatus - -# mkinstalldirs ends here diff --git a/autoarray/util/nn/src/nn/nan.h b/autoarray/util/nn/src/nn/nan.h deleted file mode 100644 index 11d1022a0..000000000 --- a/autoarray/util/nn/src/nn/nan.h +++ /dev/null @@ -1,41 +0,0 @@ -/****************************************************************************** - * - * File: nan.h - * - * Created: 18/10/2001 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: NaN definition - * - * Description: Should cover machines with 64 bit doubles or other machines - * with GCC - * - * Revisions: None - * - *****************************************************************************/ - -#if !defined(_NAN_H) -#define _NAN_H - -#include - -#if defined(NAN) -#define NaN NAN - -#elif defined(__GNUC__) && !defined(__INTEL_COMPILER) -static const double NaN = 0.0 / 0.0; - -#elif defined(_WIN32) -static unsigned _int64 lNaN = ((unsigned _int64) 1 << 63) - 1; - -#define NaN (*(double*)&lNaN) - -#else -static const long long lNaN = ((unsigned long long) 1 << 63) - 1; - -#define NaN (*(double*)&lNaN) -#endif - -#endif diff --git a/autoarray/util/nn/src/nn/nn.h b/autoarray/util/nn/src/nn/nn.h deleted file mode 100644 index 1dc72ab3c..000000000 --- a/autoarray/util/nn/src/nn/nn.h +++ /dev/null @@ -1,337 +0,0 @@ -/****************************************************************************** - * - * File: nn.h - * - * Created: 04/08/2000 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: Header file for nn library - * - * Description: None - * - * Revisions: None - * - *****************************************************************************/ - -#if !defined(_NN_H) -#define _NN_H - -//int test_add(int a, int b); -/* Contains version string for the nn package. - */ -extern char* nn_version; - -/* Sets the verbosity level within nn package. - * 0 (default) - silent - * 1 - verbose - * 2 - very verbose - */ -extern int nn_verbose; - -/* Switches between different formulations for NN weights. - * SIBSON -- classic formulation by Sibson - * NON_SIBSONIAN -- alternative formulation by Belikov & Semenov - * - */ -typedef enum { SIBSON, NON_SIBSONIAN } NN_RULE; -extern NN_RULE nn_rule; - -/* Limits verbose information to a particular vertex (used mainly for - * debugging purposes). - */ -extern int nn_test_vertice; - -/* "point" is a basic data structure in this package. - */ -#if !defined(_STRUCT_POINT) -#define _STRUCT_POINT -typedef struct { - double x; - double y; - double z; -} point; -#endif - -#if !defined(_STRUCT_DELAUNAY) -#define _STRUCT_DELAUNAY -struct delaunay; -typedef struct delaunay delaunay; -#endif - -/** Smoothes the input point array by averaging the input x,y and z values - ** for each cell within virtual rectangular nx by ny grid. The corners of the - ** grid are created from min and max values of the input array. It also frees - ** the original array and returns results and new dimension via original - ** data and size pointers. - * - * @param n Pointer to number of points (input/output) - * @param p Pointer to array of points (input/output) [*n] - * @param nx Number of x nodes in decimation - * @param ny Number of y nodes in decimation - */ -void points_thingrid(int* n, point** p, int nx, int ny); - -/** Smoothes the input point array by averaging the input data (X,Y and Z - ** values) until the sum of the distances between points does not exceed the - ** specified maximum value. It also frees the original array and returns - ** results and new dimension via original data and size pointers. - * - * @param n Pointer to number of points (input/output) - * @param p Pointer to array of points (input/output) [*n] - * @param rmax Maximum allowed accumulated distance - */ -void points_thinlin(int* n, point** p, double rmax); - -/* Calculates X and/or Y ranges of the input array of points. If necessary, - * adjusts the range according to the zoom value. - * - * @param n Number of points - * @param points Array of points - * @param xmin Min X value if *xmin = NaN on input, not changed otherwise - * @param xmax Max X value if *xmax = NaN on input, not changed otherwise - * @param ymin Min Y value if *ymin = NaN on input, not changed otherwise - * @param ymax Max Y value if *ymax = NaN on input, not changed otherwise - */ -void points_getrange(int n, point points[], double zoom, double* xmin, double* xmax, double* ymin, double* ymax); - -/** Generates rectangular grid nx by ny using specified min and max x and y - ** values. Allocates space for the output point array, be sure to free it - ** when necessary! - * - * @param xmin Min x value - * @param xmax Max x value - * @param ymin Min y value - * @param ymax Max y value - * @param nx Number of x nodes - * @param ny Number of y nodes - * @param zoom Zoom coefficient - * @param nout Pointer to number of output points - * @param pout Pointer to array of output points [*nout] - */ -void points_generate(double xmin, double xmax, double ymin, double ymax, int nx, int ny, int* nout, point** pout); - -/** Reads array of points from a columnar file. - * - * @param fname File name (can be "stdin" dor stndard input) - * @param dim Number of dimensions (must be 2 or 3) - * @param n Pointer to number of points (output) - * @param points Pointer to array of points [*n] (output) - */ -void points_read(char* fname, int dim, int* n, point** points); - -/** Scales Y coordinate so that the resulting set fits into square: - ** xmax - xmin = ymax - ymin - * - * @param n Number of points - * @param points The points to scale - * @return Y axis compression coefficient - */ -double points_scaletosquare(int n, point* points); - -/** Compresses Y domain by a given multiple. - * - * @param n Number of points - * @param points The points to scale - * @param Y axis compression coefficient as returned by points_scaletosquare() - */ -void points_scale(int n, point* points, double k); - -/** `lpi' -- "Linear Point Interpolator" is a structure for linear - ** interpolation of data on a "point-to-point" basis. - * - * `lpi' interpolates linearly within each triangle resulted from the Delaunay - * triangluation of the input data. `lpi' is much faster than all Natural - * Neighbours interpolators below. - */ -struct lpi; -typedef struct lpi lpi; - -/** Builds linear interpolator. - * - * @param d Delaunay triangulation - * @return Linear interpolator - */ -lpi* lpi_build(delaunay* d); - -/** Destroys linear interpolator. - * - * @param l Structure to be destroyed - */ -void lpi_destroy(lpi* l); - -/** Finds linearly interpolated value in a point. - * - * @param l Linear point interpolator - * @param p Point to be interpolated (p->x, p->y -- input; p->z -- output) - */ -void lpi_interpolate_point(lpi* l, point* p); - -/** Linearly interpolates data in an array of points. - * - * @param nin Number of input points - * @param pin Array of input points [pin] - * @param nout Number of ouput points - * @param pout Array of output points [nout] - */ -void lpi_interpolate_points(delaunay* d, int nout, point pout[]); - -/** `nnpi' -- "Natural Neighbours Point Interpolator" is a structure for - ** Natural Neighbours interpolation of data on a "point-to-point" basis. - * - * Because it involves weight calculation for each output point, it is not - * designed to take advantage of consequitive interpolations on the same - * sets of input and output points -- use `nnhpi' or `nnai' in these cases. - */ -struct nnpi; -typedef struct nnpi nnpi; - -/** Creates Natural Neighbours point interpolator. - * - * @param d Delaunay triangulation - * @return Natural Neighbours interpolation - */ -nnpi* nnpi_create(delaunay* d); - -/** Destroys Natural Neighbours point interpolation. - * - * @param nn Structure to be destroyed - */ -void nnpi_destroy(nnpi* nn); - -/** Performs Natural Neighbours interpolation in a point. - * - * @param nn NN point interpolator - * @param p Point to be interpolated (p->x, p->y -- input; p->z -- output) - */ -void nnpi_interpolate_point(nnpi* nn, point* p); - -/** Performs Natural Neighbours interpolation in an array of points. - * - * @param nin Number of input points - * @param pin Array of input points [pin] - * @param wmin Minimal allowed weight - * @param nout Number of output points - * @param pout Array of output points [nout] - */ -void nnpi_interpolate_points(delaunay* d, double wmin, int nout, point pout[]); - -/** Sets minimal allowed weight for Natural Neighbours interpolation. - * - * For Sibson interpolation, setting wmin = 0 is equivalent to interpolating - * inside convex hall of the data only (returning NaNs otherwise). - * - * @param nn Natural Neighbours point interpolator - * @param wmin Minimal allowed weight - */ -void nnpi_setwmin(nnpi* nn, double wmin); - -/** `nnhpi' -- "Natural Neighbours Hashing Point Interpolator" -- is a - ** structure for conducting consequitive Natural Neighbours interpolations - ** from the same set of observation points, designed to take advantage of - ** repeated interpolations in the same point. It allows to modify Z - ** coordinate of observed data between interpolations (because this does not - ** affect the interpolant weights). - */ -struct nnhpi; -typedef struct nnhpi nnhpi; - -/** Creates Natural Neighbours hashing point interpolator. - * - * @param d Delaunay triangulation - * @param size Hash table size (should be of order of number of output points) - * @return Natural Neighbours interpolation - */ -nnhpi* nnhpi_create(delaunay* d, int size); - -/** Destroys Natural Neighbours hashing point interpolation. - * - * @param nn Structure to be destroyed - */ -void nnhpi_destroy(nnhpi* nn); - -/** Performs Natural Neighbours interpolation in a point. - * - * @param nnhpi NN hashing point interpolator - * @param p Point to be interpolated (p->x, p->y -- input; p->z -- output) - */ -void nnhpi_interpolate(nnhpi* nn, point* p); - -void nnhpi_interpolate_get_weights(nnhpi* nn, point* p, double* weights_out, int* neighbor_index, int max_nneighbor, int point_index); - -int nnhpi_interpolate_output_marker(nnhpi* nn, point* p); - - - -/** Modifies interpolated data. - * - * Finds point* pd in the underlying Delaunay triangulation such that - * pd->x = p->x and pd->y = p->y, and copies p->z to pd->z. Exits with error - * if the point is not found. - * - * @param nn Natural Neighbours hashing point interpolator - * @param p New data - */ -void nnhpi_modify_data(nnhpi* nn, point* p); - -/** Sets minimal allowed weight for Natural Neighbours interpolation. - * - * For Sibson interpolation, setting wmin = 0 is equivalent to interpolating - * inside convex hall of the data only (returning NaNs otherwise). - * - * @param nn Natural Neighbours point hashing interpolator - * @param wmin Minimal allowed weight - */ -void nnhpi_setwmin(nnhpi* nn, double wmin); - -/** `nnai' -- "Natural Neighbours Array Interpolator" is a structure for - ** conducting consequitive Natural Neighbours interpolations from the same - ** set of observation points in the same set of points. It allows to modify Z - ** coordinate of data between interpolations (because this does not - ** affect the interpolant weights). - * - * `nnai' is the fastest of the three Natural Neighbours interpolators in `nn' - * library. - */ -struct nnai; -typedef struct nnai nnai; - -/** Builds Natural Neighbours array interpolator. - * - * This includes calculation of weights used in nnai_interpolate(). - * - * @param d Delaunay triangulation - * @return Natural Neighbours interpolation - */ -nnai* nnai_build(delaunay* d, int n, double* x, double* y); - -/** Destroys Natural Neighbours array interpolator. - * - * @param nn Structure to be destroyed - */ -void nnai_destroy(nnai* nn); - -/** Conducts NN interpolation in a fixed array of output points using - ** data specified in a fixed array of input points. Uses pre-calculated - ** weights. - * - * @param nn NN array interpolator - * @param zin input data [nn->d->npoints] - * @param zout output data [nn->n]. Must be pre-allocated! - */ -void nnai_interpolate(nnai* nn, double* zin, double* zout); - -/** Sets minimal allowed weight for Natural Neighbours interpolation. - * - * For Sibson interpolation, setting wmin = 0 is equivalent to interpolating - * inside convex hall of the input data only (returning NaNs otherwise). - * - * @param nn Natural Neighbours array interpolator - * @param wmin Minimal allowed weight - */ -void nnai_setwmin(nnai* nn, double wmin); - - -#endif /* _NN_H */ - diff --git a/autoarray/util/nn/src/nn/nn_internal.h b/autoarray/util/nn/src/nn/nn_internal.h deleted file mode 100644 index 3eb91fb87..000000000 --- a/autoarray/util/nn/src/nn/nn_internal.h +++ /dev/null @@ -1,38 +0,0 @@ -/****************************************************************************** - * - * File: nn_internal.h - * - * Created: 11/03/2005 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: Header for internal stuff in the nn library - * - * Description: None - * - * Revisions: None - * - *****************************************************************************/ - -#if !defined(_NN_INTERNAL_H) -#define _NN_INTERNAL_H - -/* - * nnpi.c - */ -void nnpi_calculate_weights(nnpi* nn, point* p); -int nnpi_get_nvertices(nnpi* nn); -int* nnpi_get_vertices(nnpi* nn); -double* nnpi_get_weights(nnpi* nn); - -/* - * nncommon.c, nncommon-vulnerable.c - */ -int circle_build1(circle* c, point* p0, point* p1, point* p2); -int circle_build2(circle* c, point* p0, point* p1, point* p2); -int circle_contains(circle* c, point* p); -void nn_quit(char* format, ...); -int str2double(char* token, double* value); - -#endif diff --git a/autoarray/util/nn/src/nn/nnai.c b/autoarray/util/nn/src/nn/nnai.c deleted file mode 100644 index a50160adb..000000000 --- a/autoarray/util/nn/src/nn/nnai.c +++ /dev/null @@ -1,426 +0,0 @@ -/****************************************************************************** - * - * File: nnai.c - * - * Created: 15/11/2002 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: Code for: - * -- Natural Neighbours Array Interpolator - * - * Description: `nnai' is a structure for conducting repeated Natural - * Neighbours interpolations when locations of input and output - * data points do not change. It re-uses interpolation weights - * calculated during initialisation and can be substantially - * faster than the more generic Natural Neighbours Point - * Interpolator `nnpi'. - * - * Revisions: None - * - *****************************************************************************/ - -#include -#include -#include -#include -#include "nan.h" -#include "nn.h" -#include "nncommon.h" -#include "delaunay.h" -#include "nnpi.h" - -typedef struct { - int nvertices; - int* vertices; /* vertex indices [nvertices] */ - double* weights; /* vertex weights [nvertices] */ -} nn_weights; - -struct nnai { - delaunay* d; - double wmin; - double n; /* number of output points */ - double* x; /* [n] */ - double* y; /* [n] */ - nn_weights* weights; -}; - -/** Builds Natural Neighbours array interpolator. - * - * This includes calculation of weights used in nnai_interpolate(). - * - * @param d Delaunay triangulation - * @return Natural Neighbours interpolation - */ -nnai* nnai_build(delaunay* d, int n, double* x, double* y) -{ - nnai* nn = malloc(sizeof(nnai)); - nnpi* nnpi = nnpi_create(d); - int* vertices; - double* weights; - int i; - - if (n <= 0) - nn_quit("nnai_create(): n = %d\n", n); - - nn->d = d; - nn->n = n; - nn->x = malloc(n * sizeof(double)); - memcpy(nn->x, x, n * sizeof(double)); - nn->y = malloc(n * sizeof(double)); - memcpy(nn->y, y, n * sizeof(double)); - nn->weights = malloc(n * sizeof(nn_weights)); - - for (i = 0; i < n; ++i) { - nn_weights* w = &nn->weights[i]; - point p; - - p.x = x[i]; - p.y = y[i]; - - nnpi_calculate_weights(nnpi, &p); - - vertices = nnpi_get_vertices(nnpi); - weights = nnpi_get_weights(nnpi); - - w->nvertices = nnpi_get_nvertices(nnpi); - w->vertices = malloc(w->nvertices * sizeof(int)); - memcpy(w->vertices, vertices, w->nvertices * sizeof(int)); - w->weights = malloc(w->nvertices * sizeof(double)); - memcpy(w->weights, weights, w->nvertices * sizeof(double)); - } - - nnpi_destroy(nnpi); - - return nn; -} - -/* Destroys Natural Neighbours array interpolator. - * - * @param nn Structure to be destroyed - */ -void nnai_destroy(nnai* nn) -{ - int i; - - for (i = 0; i < nn->n; ++i) { - nn_weights* w = &nn->weights[i]; - - free(w->vertices); - free(w->weights); - } - - free(nn->x); - free(nn->y); - free(nn->weights); - free(nn); -} - -/* Conducts NN interpolation in a fixed array of output points using - * data specified in a fixed array of input points. Uses pre-calculated - * weights. - * - * @param nn NN array interpolator - * @param zin input data [nn->d->npoints] - * @param zout output data [nn->n]. Must be pre-allocated! - */ -void nnai_interpolate(nnai* nn, double* zin, double* zout) -{ - int i; - - for (i = 0; i < nn->n; ++i) { - nn_weights* w = &nn->weights[i]; - double z = 0.0; - int j; - - for (j = 0; j < w->nvertices; ++j) { - double weight = w->weights[j]; - - if (weight < nn->wmin) { - z = NaN; - break; - } - z += weight * zin[w->vertices[j]]; - } - - zout[i] = z; - } -} - -/* Sets minimal allowed weight for Natural Neighbours interpolation. - * - * For Sibson interpolation, setting wmin = 0 is equivalent to interpolating - * inside convex hall of the data only (returning NaNs otherwise). - * - * @param nn Natural Neighbours array interpolator - * @param wmin Minimal allowed weight - */ -void nnai_setwmin(nnai* nn, double wmin) -{ - nn->wmin = wmin; -} - -/* The rest of this file contains a number of test programs. - */ -#if defined(NNAI_TEST) - -#include - -#define NPOINTSIN 10000 -#define NMIN 10 -#define NX 101 -#define NXMIN 1 - -#define SQ(x) ((x) * (x)) - -static double franke(double x, double y) -{ - x *= 9.0; - y *= 9.0; - return 0.75 * exp((-SQ(x - 2.0) - SQ(y - 2.0)) / 4.0) - + 0.75 * exp(-SQ(x - 2.0) / 49.0 - (y - 2.0) / 10.0) - + 0.5 * exp((-SQ(x - 7.0) - SQ(y - 3.0)) / 4.0) - - 0.2 * exp(-SQ(x - 4.0) - SQ(y - 7.0)); -} - -static void usage() -{ - printf("Usage: nnai_test [-v|-V] [-n ]\n"); - printf("Options:\n"); - printf(" -a -- use non-Sibsonian interpolation rule\n"); - printf(" -n :\n"); - printf(" -- number of input points (default = 10000)\n"); - printf(" -- number of output points per side (default = 64)\n"); - printf(" -v -- verbose\n"); - printf(" -V -- very verbose\n"); -} - -int main(int argc, char* argv[]) -{ - int nin = NPOINTSIN; - int nx = NX; - int nout = 0; - point* pin = NULL; - delaunay* d = NULL; - point* pout = NULL; - nnai* nn = NULL; - double* zin = NULL; - double* xout = NULL; - double* yout = NULL; - double* zout = NULL; - int cpi = -1; /* control point index */ - struct timeval tv0, tv1, tv2; - struct timezone tz; - int i; - - i = 1; - while (i < argc) { - switch (argv[i][1]) { - case 'a': - i++; - nn_rule = NON_SIBSONIAN; - break; - case 'n': - i++; - if (i >= argc) - nn_quit("no number of data points found after -i\n"); - nin = atoi(argv[i]); - i++; - if (i >= argc) - nn_quit("no number of ouput points per side found after -i\n"); - nx = atoi(argv[i]); - i++; - break; - case 'v': - i++; - nn_verbose = 1; - break; - case 'V': - i++; - nn_verbose = 2; - break; - default: - usage(); - break; - } - } - - if (nin < NMIN) - nin = NMIN; - if (nx < NXMIN) - nx = NXMIN; - - printf("\nTest of Natural Neighbours array interpolator:\n\n"); - printf(" %d data points\n", nin); - printf(" %d output points\n", nx * nx); - - /* - * generate data - */ - printf(" generating data:\n"); - fflush(stdout); - pin = malloc(nin * sizeof(point)); - zin = malloc(nin * sizeof(double)); - for (i = 0; i < nin; ++i) { - point* p = &pin[i]; - - p->x = (double) random() / RAND_MAX; - p->y = (double) random() / RAND_MAX; - p->z = franke(p->x, p->y); - zin[i] = p->z; - if (nn_verbose) - printf(" (%f, %f, %f)\n", p->x, p->y, p->z); - } - - /* - * triangulate - */ - printf(" triangulating:\n"); - fflush(stdout); - d = delaunay_build(nin, pin, 0, NULL, 0, NULL); - - /* - * generate output points - */ - points_generate(-0.1, 1.1, -0.1, 1.1, nx, nx, &nout, &pout); - xout = malloc(nout * sizeof(double)); - yout = malloc(nout * sizeof(double)); - zout = malloc(nout * sizeof(double)); - for (i = 0; i < nout; ++i) { - point* p = &pout[i]; - - xout[i] = p->x; - yout[i] = p->y; - zout[i] = NaN; - } - cpi = (nx / 2) * (nx + 1); - - gettimeofday(&tv0, &tz); - - /* - * create interpolator - */ - printf(" creating interpolator:\n"); - fflush(stdout); - nn = nnai_build(d, nout, xout, yout); - - fflush(stdout); - gettimeofday(&tv1, &tz); - { - long dt = 1000000 * (tv1.tv_sec - tv0.tv_sec) + tv1.tv_usec - tv0.tv_usec; - - printf(" interpolator creation time = %ld us (%.2f us / point)\n", dt, (double) dt / nout); - } - - /* - * interpolate - */ - printf(" interpolating:\n"); - fflush(stdout); - nnai_interpolate(nn, zin, zout); - if (nn_verbose) - for (i = 0; i < nout; ++i) - printf(" (%f, %f, %f)\n", xout[i], yout[i], zout[i]); - - fflush(stdout); - gettimeofday(&tv2, &tz); - { - long dt = 1000000.0 * (tv2.tv_sec - tv1.tv_sec) + tv2.tv_usec - tv1.tv_usec; - - printf(" interpolation time = %ld us (%.2f us / point)\n", dt, (double) dt / nout); - } - - if (!nn_verbose) - printf(" control point: (%f, %f, %f) (expected z = %f)\n", xout[cpi], yout[cpi], zout[cpi], franke(xout[cpi], yout[cpi])); - - /* - * interpolate one more time - */ - printf(" interpolating one more time:\n"); - fflush(stdout); - nnai_interpolate(nn, zin, zout); - if (nn_verbose) - for (i = 0; i < nout; ++i) - printf(" (%f, %f, %f)\n", xout[i], yout[i], zout[i]); - - fflush(stdout); - gettimeofday(&tv0, &tz); - { - long dt = 1000000.0 * (tv0.tv_sec - tv2.tv_sec) + tv0.tv_usec - tv2.tv_usec; - - printf(" interpolation time = %ld us (%.2f us / point)\n", dt, (double) dt / nout); - } - - if (!nn_verbose) - printf(" control point: (%f, %f, %f) (expected z = %f)\n", xout[cpi], yout[cpi], zout[cpi], franke(xout[cpi], yout[cpi])); - - /* - * change the data - */ - printf(" entering new data:\n"); - fflush(stdout); - for (i = 0; i < nin; ++i) { - point* p = &pin[i]; - - p->z = p->x * p->x - p->y * p->y; - zin[i] = p->z; - if (nn_verbose) - printf(" (%f, %f, %f)\n", p->x, p->y, p->z); - } - - /* - * interpolate - */ - printf(" interpolating:\n"); - fflush(stdout); - nnai_interpolate(nn, zin, zout); - if (nn_verbose) - for (i = 0; i < nout; ++i) - printf(" (%f, %f, %f)\n", xout[i], yout[i], zout[i]); - - if (!nn_verbose) - printf(" control point: (%f, %f, %f) (expected z = %f)\n", xout[cpi], yout[cpi], zout[cpi], xout[cpi] * xout[cpi] - yout[cpi] * yout[cpi]); - - /* - * restore old data - */ - printf(" restoring data:\n"); - fflush(stdout); - for (i = 0; i < nin; ++i) { - point* p = &pin[i]; - - p->z = franke(p->x, p->y); - zin[i] = p->z; - if (nn_verbose) - printf(" (%f, %f, %f)\n", p->x, p->y, p->z); - } - - /* - * interpolate - */ - printf(" interpolating:\n"); - fflush(stdout); - nnai_interpolate(nn, zin, zout); - if (nn_verbose) - for (i = 0; i < nout; ++i) - printf(" (%f, %f, %f)\n", xout[i], yout[i], zout[i]); - - if (!nn_verbose) - printf(" control point: (%f, %f, %f) (expected z = %f)\n", xout[cpi], yout[cpi], zout[cpi], franke(xout[cpi], yout[cpi])); - - printf("\n"); - - nnai_destroy(nn); - free(zin); - free(xout); - free(yout); - free(zout); - free(pout); - delaunay_destroy(d); - free(pin); - - return 0; -} - -#endif diff --git a/autoarray/util/nn/src/nn/nnbathy.c b/autoarray/util/nn/src/nn/nnbathy.c deleted file mode 100644 index 8efd1c2e8..000000000 --- a/autoarray/util/nn/src/nn/nnbathy.c +++ /dev/null @@ -1,1018 +0,0 @@ -/****************************************************************************** - * - * File: nnbathy.c - * - * Created: 04/08/2000 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: Interpolate scalar 2D data in specified points using - * Natural Neighbours interpolation. - * - * Description: See usage(). - * - * The default vers ion of nnbathy allocates the whole output - * grid in memory before interpolating; the compilier flag - * NN_SERIAL compiles a bit more sophisticated version of that - * interpolates in output points on one-by-one basis. - * - * Revisions: 29/05/2006: introduced NN_SERIAL, see the description above - * 01/06/2006: moved flags and other command-line input into - * structure "specs" - * 05/05/2021: added MPI version - * 11/05/2021: added another communication algorithm when worker - * CPUs write results to "tiles" on disk rather than - * send them to master; it activates by defining - * VIAFILE - * - *****************************************************************************/ - -#include -#include -#include -#include -#include -#include -#include -#include -#if defined(MPI) -#include -#include -#if defined(VIAFILE) -#include "distribute.h" -#endif -#endif -#include "config.h" -#include "nan.h" -#include "minell.h" -#include "nn.h" -#include "delaunay.h" -#if defined(NN_SERIAL) || defined(MPI) -#include "preader.h" -#endif - -#if !defined(NN_SERIAL) && !defined(MPI) -#define NMAX 4096 -#endif -#define STRBUFSIZE 256 - -typedef struct { - int generate_points; - int thin; - int nointerp; - int linear; - int invariant; - int square; - char* fin; - char* fout; - int nx; - int ny; - int nxd; - int nyd; - double rmax; - double wmin; - double zoom; - double xmin; - double xmax; - double ymin; - double ymax; -#if defined(NN_SERIAL) || defined(MPI) - int npoints; -#endif -} specs; - -static void version() -{ - printf(" nnbathy/nn version %s\n", nn_version); - exit(0); -} - -static void usage() -{ - printf("Usage: nnbathy -i \n"); - printf(" -o | -n x [-c|-s] [-z ]\n"); - printf(" [-x ] [-xmin ] [-xmax ]\n"); - printf(" [-y ] [-ymin ] [-ymax ]\n"); - printf(" [-v|-T |-V]\n"); - printf(" [-D [x]]\n"); - printf(" [-L ]\n"); - printf(" [-N]\n"); - printf(" [-P alg={l|nn|ns}]\n"); - printf(" [-W ]\n"); -#if defined(NN_SERIAL) || defined(MPI) - printf(" [-%% [npoints]]\n"); -#endif - printf("Options:\n"); - printf(" -c -- scale internally so that the enclosing minimal ellipse\n"); - printf(" turns into a circle (this produces results invariant to\n"); - printf(" affine transformations)\n"); - printf(" -i -- three-column file with points to interpolate from\n"); - printf(" (use \"-i stdin\" or \"-i -\" for standard input)\n"); - printf(" -n x -- generate x output rectangular grid\n"); - printf(" -o -- two-column file with points to interpolate in\n"); - printf(" (use \"-o stdin\" or \"-o -\" for standard input)\n"); - printf(" -s -- scale internally so that Xmax - Xmin = Ymax - Ymin\n"); - printf(" -x -- set Xmin and Xmax for the output grid\n"); - printf(" -xmin -- set Xmin for the output grid\n"); - printf(" -xmax -- set Xmin for the output grid\n"); - printf(" -y -- set Ymin and Ymax for the output grid\n"); - printf(" -ymin -- set Ymin for the output grid\n"); - printf(" -ymax -- set Ymin for the output grid\n"); - printf(" -v -- verbose / version\n"); - printf(" -z -- zoom in (if < 1) or out ( > 1) (activated\n"); - printf(" only when used in conjunction with -n)\n"); - printf(" -D [x] -- thin input data by averaging X, Y and Z values within\n"); - printf(" every cell of the rectangular x grid (size\n"); - printf(" optional with -n)\n"); - printf(" -L -- thin input data by averaging X, Y and Z values within\n"); - printf(" clusters of consequitive input points such that the\n"); - printf(" sum of distances between points within each cluster\n"); - printf(" does not exceed the specified maximum value\n"); - printf(" -N -- do not interpolate, only pre-process\n"); - printf(" -P alg= -- use the following algorithm:\n"); - printf(" l -- linear interpolation\n"); - printf(" nn -- Sibson interpolation (default)\n"); - printf(" ns -- Non-Sibsonian interpolation\n"); - printf(" -T -- verbose; in weights output print weights associated\n"); - printf(" with this vertex only\n"); - printf(" -V -- very verbose / version\n"); - printf(" -W -- restricts extrapolation by assigning minimal allowed\n"); - printf(" weight for a vertex (normally \"-1\" or so; lower\n"); - printf(" values correspond to lower reliability; \"0\" means\n"); - printf(" no extrapolation)\n"); -#if defined(NN_SERIAL) || defined(MPI) - printf(" -%% [npoints] -- print percent of the work done to standard error;\n"); - printf(" npoints -- total number of points to be done (optional\n"); - printf(" with -n)\n"); -#endif - printf("Description:\n"); - printf(" `nnbathy' interpolates scalar 2D data in specified points using Natural\n"); - printf(" Neighbours interpolation. The interpolated values are written to standard\n"); - printf(" output.\n"); - - exit(0); -} - -static void quit(char* format, ...) -{ - va_list args; - - fflush(stdout); /* just in case, to have exit message last */ - - fprintf(stderr, " error: "); - va_start(args, format); - vfprintf(stderr, format, args); - va_end(args); - -#if defined(MPI) - MPI_Abort(MPI_COMM_WORLD, 1); /* kill all MPI jobs */ -#else - abort(); /* raise SIGABRT for debugging */ -#endif - exit(1); -} - -static double str2double(char* token, char* option) -{ - char* end = NULL; - double value = NaN; - - if (token != NULL) - value = strtod(token, &end); - - if (token == NULL || end == token) { - fprintf(stderr, " error: command-line option \"%s\": could not convert \"%s\" to double\n", option, (token != NULL) ? token : "NULL"); - - exit(1); - } - - return value; -} - -static specs* specs_create(void) -{ - specs* s = malloc(sizeof(specs)); - - s->generate_points = 0; - s->thin = 0; - s->nointerp = 0; - s->linear = 0; - s->invariant = 0; - s->square = 0; - s->fin = NULL; - s->fout = NULL; - s->nx = -1; - s->ny = -1; - s->nxd = -1; - s->nyd = -1; - s->rmax = NaN; - s->wmin = -DBL_MAX; - s->zoom = 1.0; - s->xmin = NaN; - s->xmax = NaN; - s->ymin = NaN; - s->ymax = NaN; -#if defined(NN_SERIAL) || defined(MPI) - s->npoints = 0; -#endif - return s; -} - -void specs_destroy(specs* s) -{ - free(s); -} - -static void parse_commandline(int argc, char* argv[], specs* s) -{ - int i; - - if (argc < 2) - usage(); - - i = 1; - while (i < argc) { - if (argv[i][0] != '-') - usage(); - - switch (argv[i][1]) { - case 'c': - i++; - s->square = 0; - s->invariant = 1; - break; - case 'i': - i++; - if (i >= argc) - quit("no file name found after -i\n"); - s->fin = argv[i]; - i++; - break; - case 'l': - i++; - s->linear = 1; - break; - case 'n': - i++; - s->fout = NULL; - s->generate_points = 1; - if (i >= argc) - quit("no grid dimensions found after -n\n"); - if (sscanf(argv[i], "%dx%d", &s->nx, &s->ny) != 2) - quit("could not read grid dimensions after \"-n\"\n"); -#if defined(NN_SERIAL) || defined(MPI) - if (s->nx <= 0 || s->ny <= 0) -#else - if (s->nx <= 0 || s->nx > NMAX || s->ny <= 0 || s->ny > NMAX) -#endif - quit("invalid size for output grid\n"); - i++; - break; - case 'o': - i++; - if (i >= argc) - quit("no file name found after -o\n"); - s->fout = argv[i]; - i++; - break; - case 's': - i++; - s->square = 1; - s->invariant = 0; - break; - case 'x': - if (argv[i][2] == 0) { - i++; - if (i >= argc) - quit("no xmin value found after -x\n"); - s->xmin = str2double(argv[i], "-x"); - i++; - if (i >= argc) - quit("no xmax value found after -x\n"); - s->xmax = str2double(argv[i], "-x"); - i++; - } else if (strcmp(argv[i], "-xmin") == 0) { - i++; - if (i >= argc) - quit("no value found after -xmin\n"); - s->xmin = str2double(argv[i], "-xmin"); - i++; - } else if (strcmp(argv[i], "-xmax") == 0) { - i++; - if (i >= argc) - quit("no value found after -xmax\n"); - s->xmax = str2double(argv[i], "-xmax"); - i++; - } else - usage(); - break; - case 'y': - if (argv[i][2] == 0) { - i++; - if (i >= argc) - quit("no ymin value found after -y\n"); - s->ymin = str2double(argv[i], "-y"); - i++; - if (i >= argc) - quit("no ymax value found after -y\n"); - s->ymax = str2double(argv[i], "-y"); - i++; - } else if (strcmp(argv[i], "-ymin") == 0) { - i++; - if (i >= argc) - quit("no value found after -ymin\n"); - s->ymin = str2double(argv[i], "-ymin"); - i++; - } else if (strcmp(argv[i], "-ymax") == 0) { - i++; - if (i >= argc) - quit("no value found after -ymax\n"); - s->ymax = str2double(argv[i], "-ymax"); - i++; - } else - usage(); - break; - case 'v': - i++; - nn_verbose = 1; - break; - case 'z': - i++; - if (i >= argc) - quit("no zoom value found after -z\n"); - s->zoom = str2double(argv[i], "-z"); - i++; - break; - case 'D': - i++; - s->thin = 1; - if (argc > i && argv[i][0] != '-') { - if (sscanf(argv[i], "%dx%d", &s->nxd, &s->nyd) != 2) - quit("could not read grid dimensions after \"-D\"\n"); - if (s->nxd <= 0 || s->nyd <= 0) - quit("invalid value for nx = %d or ny = %d after -D option\n", s->nxd, s->nyd); -#if !defined(NN_SERIAL) && !defined(MPI) - if (s->nxd > NMAX || s->nyd > NMAX) - quit("too big value after -D option (expected < %d)\n", NMAX); -#endif - i++; - } - break; - case 'L': - i++; - s->thin = 2; - if (i >= argc) - quit("no value found after -L\n"); - s->rmax = str2double(argv[i], "-L"); - i++; - break; - case 'N': - i++; - s->nointerp = 1; - break; - case 'P':{ - char delim[] = "="; - char prmstr[STRBUFSIZE] = ""; - char* token; - - i++; - if (i >= argc) - quit("no input found after -P\n"); - - if (strlen(argv[i]) >= STRBUFSIZE) - quit("could not interpret \"%s\" after -P option\n", argv[i]); - - strcpy(prmstr, argv[i]); - token = strtok(prmstr, delim); - if (token == NULL) - quit("could not interpret \"%s\" after -P option\n", argv[i]); - - if (strcmp(token, "alg") == 0) { - token = strtok(NULL, delim); - if (token == NULL) - quit("could not interpret \"%s\" after -P option\n", argv[i]); - - if (strcmp(token, "nn") == 0) { - nn_rule = SIBSON; - s->linear = 0; - } else if (strcmp(token, "ns") == 0) { - nn_rule = NON_SIBSONIAN; - s->linear = 0; - } else if (strcmp(token, "l") == 0) { - s->linear = 1; - } else - usage(); - } - - i++; - break; - } - case 'W': - i++; - if (i >= argc) - quit("no minimal allowed weight found after -W\n"); - s->wmin = str2double(argv[i], "-W"); - i++; - break; - case 'T': - i++; - if (i >= argc) - quit("no vertex id found after -T\n"); - nn_test_vertice = atoi(argv[i]); - nn_verbose = 1; - i++; - break; - case 'V': - i++; - nn_verbose = 2; - break; -#if defined(NN_SERIAL) || defined(MPI) - case '%': - i++; - if (i < argc && argv[i][0] != '-') { - s->npoints = atoi(argv[i]); - i++; - } else - s->npoints = 1; - break; -#endif - default: - usage(); - break; - } - } - - if (nn_verbose && argc == 2) - version(); - - if (s->thin) { - if (s->nxd == -1) - s->nxd = s->nx; - if (s->nyd == -1) - s->nyd = s->ny; - if (s->nxd <= 0 || s->nyd <= 0) - quit("invalid grid size for thinning\n"); - } -#if defined(NN_SERIAL) || defined(MPI) - if (s->npoints == 1) { - if (s->nx <= 0) - s->npoints = 0; - else - s->npoints = s->nx * s->ny; - } -#endif -} - -static void points_write(int n, point* points) -{ - int i; - - for (i = 0; i < n; ++i) { - point* p = &points[i]; - - if (isnan(p->z)) - printf("%.15g %.15g NaN\n", p->x, p->y); - else - printf("%.15g %.15g %.15g\n", p->x, p->y, p->z); - } -} - -#if defined(MPI) && defined(VIAFILE) -#include - -static void file_delete(char fname[]) -{ - int status = -1; - - status = unlink(fname); - if (status != 0) { - int errno_saved = errno; - - quit("could not delete file \"%s\": %s", fname, strerror(errno_saved)); - } -} -#endif - -#if !defined(MPI) -#if !defined(NN_SERIAL) -/* A simpler version of nnbathy that allocates the whole output grid in memory - */ -int main(int argc, char* argv[]) -{ - delaunay* d = NULL; - specs* s = specs_create(); - int nin = 0; - point* pin = NULL; - minell* me = NULL; - int nout = 0; - point* pout = NULL; - double k = NaN; - - parse_commandline(argc, argv, s); - - if (s->fin == NULL) - quit("no input data\n"); - - if (!s->generate_points && s->fout == NULL && !s->nointerp) - quit("no output grid specified\n"); - - points_read(s->fin, 3, &nin, &pin); - - if (nin < 3) - return 0; - - if (s->thin == 1) - points_thingrid(&nin, &pin, s->nxd, s->nyd); - else if (s->thin == 2) - points_thinlin(&nin, &pin, s->rmax); - - if (s->nointerp) { - points_write(nin, pin); - specs_destroy(s); - free(pin); - return 0; - } - - if (s->generate_points) { - /* - * points_getrange() only writes the proper values to those arguments - * which do not point to NaNs - */ - points_getrange(nin, pin, s->zoom, &s->xmin, &s->xmax, &s->ymin, &s->ymax); - points_generate(s->xmin, s->xmax, s->ymin, s->ymax, s->nx, s->ny, &nout, &pout); - } else - points_read(s->fout, 2, &nout, &pout); - - if (s->invariant) { - me = minell_build(nin, pin); - minell_scalepoints(me, nin, pin); - minell_scalepoints(me, nout, pout); - } else if (s->square) { - k = points_scaletosquare(nin, pin); - points_scale(nout, pout, k); - } - - d = delaunay_build(nin, pin, 0, NULL, 0, NULL); - - if (s->linear) - lpi_interpolate_points(d, nout, pout); - else - nnpi_interpolate_points(d, s->wmin, nout, pout); - - delaunay_destroy(d); - - if (s->invariant) - minell_rescalepoints(me, nout, pout); - else if (s->square) - points_scale(nout, pout, 1.0 / k); - - points_write(nout, pout); - - if (me != NULL) - minell_destroy(me); - specs_destroy(s); - free(pin); - free(pout); - - return 0; -} -#else /* NN_SERIAL */ -/* A version of nnbathy that interpolates output points serially. Can save a - * bit of memory for large output grids. - */ -int main(int argc, char* argv[]) -{ - specs* s = specs_create(); - int nin = 0; - point* pin = NULL; - minell* me = NULL; - point* pout = NULL; - double k = NaN; - preader* pr = NULL; - delaunay* d = NULL; - void* interpolator = NULL; - int ndone = 0; - - parse_commandline(argc, argv, s); - - if (s->fin == NULL) - quit("no input data\n"); - - if (!s->generate_points && s->fout == NULL && !s->nointerp) - quit("no output grid specified\n"); - - points_read(s->fin, 3, &nin, &pin); - - if (nin < 3) - return 0; - - if (s->thin == 1) - points_thingrid(&nin, &pin, s->nxd, s->nyd); - else if (s->thin == 2) - points_thinlin(&nin, &pin, s->rmax); - - if (s->nointerp) { - points_write(nin, pin); - specs_destroy(s); - free(pin); - return 0; - } - - if (s->generate_points) { - points_getrange(nin, pin, s->zoom, &s->xmin, &s->xmax, &s->ymin, &s->ymax); - pr = preader_create1(s->xmin, s->xmax, s->ymin, s->ymax, s->nx, s->ny, -1, -1); - } else - pr = preader_create2(s->fout); - - if (s->invariant) { - me = minell_build(nin, pin); - minell_scalepoints(me, nin, pin); - } else if (s->square) - k = points_scaletosquare(nin, pin); - - d = delaunay_build(nin, pin, 0, NULL, 0, NULL); - - if (s->linear) - interpolator = lpi_build(d); - else { - interpolator = nnpi_create(d); - nnpi_setwmin(interpolator, s->wmin); - } - - while ((pout = preader_getpoint(pr)) != NULL) { - if (s->invariant) - minell_scalepoints(me, 1, pout); - else if (s->square) - points_scale(1, pout, k); - - if (s->linear) - lpi_interpolate_point(interpolator, pout); - else - nnpi_interpolate_point(interpolator, pout); - - if (s->invariant) - minell_rescalepoints(me, 1, pout); - else if (s->square) - points_scale(1, pout, 1.0 / k); - - points_write(1, pout); - ndone++; - - if (s->npoints > 0) { - int quant = s->npoints / 1000; - - if (quant == 0 || ndone % quant == 0) { - char percent[STRBUFSIZE]; - - snprintf(percent, STRBUFSIZE, " %5.1f%% done\r", 100.0 * ndone / s->npoints); - fprintf(stderr, "%s", percent); - fflush(stderr); - } - } - } - if (s->npoints > 0) - fprintf(stderr, " \r"); - - if (me != NULL) - minell_destroy(me); - if (s->linear) - lpi_destroy(interpolator); - else - nnpi_destroy(interpolator); - delaunay_destroy(d); - preader_destroy(pr); - specs_destroy(s); - free(pin); - - return 0; -} -#endif -#else /* MPI */ -/* - * the number of points assigned to each cpu to work on at a time - */ -#define MPIBUFSIZE 1024 -/* - * the maximal number of cpus when master interpolates as other workers; - * otherwise it is used for collecting and writing results only - */ -#define N_IDLEMASTER 3 -#if defined(VIAFILE) -#define BUFSIZE 4096 -#endif -int main(int argc, char* argv[]) -{ - specs* s = specs_create(); - int nin = 0; - point* pin = NULL; - minell* me = NULL; - point* pout = NULL; - double k = NaN; - preader* pr = NULL; - -#if defined(USE_SHMEM) - MPI_Win sm_win_inputdata = MPI_WIN_NULL; -#endif - - delaunay* d = NULL; - void* interpolator = NULL; - - point* buffer = NULL; - int nactiveprocesses, firstactiveprocess, ndone, nsent; - - int* nremain = NULL; - int nremain_total, r; - - parse_commandline(argc, argv, s); - - MPI_Init(&argc, &argv); - MPI_Comm_size(MPI_COMM_WORLD, &nprocesses); - MPI_Comm_rank(MPI_COMM_WORLD, &rank); - if (nn_verbose && rank == 0) - fprintf(stderr, " MPI: initialised %d process(es)\n", nprocesses); - MPI_Barrier(MPI_COMM_WORLD); -#if defined(USE_SHMEM) - { - (void) MPI_Comm_split_type(MPI_COMM_WORLD, MPI_COMM_TYPE_SHARED, 0, MPI_INFO_NULL, &sm_comm); - (void) MPI_Comm_rank(sm_comm, &sm_comm_rank); - (void) MPI_Comm_size(sm_comm, &sm_comm_size); - } -#endif - - if (s->fin == NULL) - quit("no input data\n"); - - if (!s->generate_points && s->fout == NULL && !s->nointerp) - quit("no output grid specified\n"); - -#if defined(USE_SHMEM) - if (sm_comm_rank == 0) -#endif - points_read(s->fin, 3, &nin, &pin); - -#if defined(USE_SHMEM) - /* - * Put input data into shared memory. - */ - { - MPI_Aint size; - void* data = NULL; - - (void) MPI_Bcast(&nin, 1, MPI_INT, 0, MPI_COMM_WORLD); - - assert(sizeof(MPI_Aint) == sizeof(size_t)); - size = nin * sizeof(point); - (void) MPI_Win_allocate_shared((sm_comm_rank == 0) ? size : 0, sizeof(point), MPI_INFO_NULL, sm_comm, &data, &sm_win_inputdata); - if (sm_comm_rank == 0) { - memcpy(data, pin, size); - free(pin); - pin = data; - if (nn_verbose) - fprintf(stderr, " MPI: put %u bytes of input data into shared memory\n", (unsigned int) size); - } else { - int disp_unit; - MPI_Aint my_size; - - MPI_Win_shared_query(sm_win_inputdata, 0, &my_size, &disp_unit, &pin); - assert(my_size == size); - assert(disp_unit == sizeof(point)); - assert(pin != NULL); - } - MPI_Win_fence(0, sm_win_inputdata); - MPI_Barrier(sm_comm); - } -#endif - - if (nin < 3) - return 0; - - if (s->thin == 1) - points_thingrid(&nin, &pin, s->nxd, s->nyd); - else if (s->thin == 2) - points_thinlin(&nin, &pin, s->rmax); - - if (s->nointerp) { - points_write(nin, pin); - specs_destroy(s); - free(pin); - return 0; - } - - if (s->generate_points) { - points_getrange(nin, pin, s->zoom, &s->xmin, &s->xmax, &s->ymin, &s->ymax); -#if !defined(VIAFILE) - pr = preader_create1(s->xmin, s->xmax, s->ymin, s->ymax, s->nx, s->ny, -1, -1); -#else - distribute_iterations(0, s->ny - 1, nprocesses, rank); - pr = preader_create1(s->xmin, s->xmax, s->ymin, s->ymax, s->nx, s->ny, my_first_iteration, my_last_iteration); - s->npoints = s->nx * (my_last_iteration - my_first_iteration + 1); -#endif - } else - pr = preader_create2(s->fout); - - if (s->invariant) { - me = minell_build(nin, pin); - minell_scalepoints(me, nin, pin); - } else if (s->square) - k = points_scaletosquare(nin, pin); - - d = delaunay_build(nin, pin, 0, NULL, 0, NULL); - - if (s->linear) - interpolator = lpi_build(d); - else { - interpolator = nnpi_create(d); - nnpi_setwmin(interpolator, s->wmin); - } - - /* - * interpolate - */ -#if defined(VIAFILE) - if (!preader_istype1(pr)) { -#endif - ndone = 0; /* number of points processed */ - nsent = 0; /* number of exchange sessions completed */ - nactiveprocesses = (nprocesses <= N_IDLEMASTER) ? nprocesses : nprocesses - 1; - firstactiveprocess = (nprocesses <= N_IDLEMASTER) ? 0 : 1; - buffer = malloc(MPIBUFSIZE * sizeof(point)); - while ((pout = preader_getpoint(pr)) != NULL) { - int activeprocess, iter; - - activeprocess = (ndone / MPIBUFSIZE) % nactiveprocesses + firstactiveprocess; - - if (activeprocess != rank) - goto postprocess; - - if (s->invariant) - minell_scalepoints(me, 1, pout); - else if (s->square) - points_scale(1, pout, k); - - if (s->linear) - lpi_interpolate_point(interpolator, pout); - else - nnpi_interpolate_point(interpolator, pout); - - if (s->invariant) - minell_rescalepoints(me, 1, pout); - else if (s->square) - points_scale(1, pout, 1.0 / k); - - buffer[ndone % MPIBUFSIZE] = *pout; - - postprocess: - ndone++; - - if (rank == 0 && s->npoints > 0) { - int quant = s->npoints / 1000; - - if (quant == 0 || ndone % quant == 0) { - char percent[STRBUFSIZE]; - - snprintf(percent, STRBUFSIZE, " %5.1f%% done\r", 100.0 * ndone / s->npoints); - fprintf(stderr, "%s", percent); - fflush(stderr); - } - } - - iter = ndone / MPIBUFSIZE / nactiveprocesses; - if (iter > nsent) { - /* - * start exchange session - */ - if (rank == 0) { - int r; - - if (firstactiveprocess == 0) - points_write(MPIBUFSIZE, buffer); - for (r = 1; r < nprocesses; ++r) { - (void) MPI_Recv(buffer, MPIBUFSIZE * 3, MPI_DOUBLE, r, iter, MPI_COMM_WORLD, MPI_STATUS_IGNORE); - points_write(MPIBUFSIZE, buffer); - } - } else - (void) MPI_Send(buffer, MPIBUFSIZE * 3, MPI_DOUBLE, 0, iter, MPI_COMM_WORLD); - nsent = iter; - } - } - - /* - * write remaining results - */ - nremain = calloc(nprocesses, sizeof(int)); - nremain_total = ndone - nsent * nactiveprocesses * MPIBUFSIZE; - for (r = firstactiveprocess; r < nprocesses; ++r) { - if (nremain_total >= MPIBUFSIZE) { - nremain[r] = MPIBUFSIZE; - nremain_total -= MPIBUFSIZE; - } else { - nremain[r] = nremain_total; - nremain_total = 0; - } - } - if (rank == 0) { - points_write(nremain[0], buffer); - for (r = 1; r < nprocesses; ++r) { - (void) MPI_Recv(buffer, nremain[r] * 3, MPI_DOUBLE, r, nsent + 1, MPI_COMM_WORLD, MPI_STATUS_IGNORE); - points_write(nremain[r], buffer); - } - fflush(stdout); - } else - (void) MPI_Send(buffer, nremain[rank] * 3, MPI_DOUBLE, 0, nsent + 1, MPI_COMM_WORLD); - - free(nremain); - free(buffer); -#if defined(VIAFILE) - } else { - FILE* f = NULL; - char fname[STRBUFSIZE]; - - if (rank > 0) { - sprintf(fname, "nnbathy.rank%03d.tmp", rank); - f = fopen(fname, "w+"); - } - - ndone = 0; - while ((pout = preader_getpoint(pr)) != NULL) { - if (s->invariant) - minell_scalepoints(me, 1, pout); - else if (s->square) - points_scale(1, pout, k); - - if (s->linear) - lpi_interpolate_point(interpolator, pout); - else - nnpi_interpolate_point(interpolator, pout); - - if (s->invariant) - minell_rescalepoints(me, 1, pout); - else if (s->square) - points_scale(1, pout, 1.0 / k); - - if (rank == 0) - points_write(1, pout); - else - fwrite(pout, 1, sizeof(point), f); - - if (s->npoints > 0 && rank == 0) { - int quant = s->npoints / 1000; - - if (quant == 0 || ndone % quant == 0) { - char percent[STRBUFSIZE]; - - snprintf(percent, STRBUFSIZE, " %5.1f%% done\r", 100.0 * ndone / s->npoints); - fprintf(stderr, "%s", percent); - fflush(stderr); - } - } - ndone++; - } - if (rank > 0) { - fclose(f); - (void) MPI_Send(NULL, 0, MPI_INT, 0, rank, MPI_COMM_WORLD); - } else { - /* - * write temporary files to stdout - */ - for (r = 1; r < nprocesses; ++r) { - void* buffer = malloc(sizeof(point) * BUFSIZE); - int len; - - (void) MPI_Recv(NULL, 0, MPI_INT, r, r, MPI_COMM_WORLD, MPI_STATUS_IGNORE); - sprintf(fname, "nnbathy.rank%03d.tmp", r); - f = fopen(fname, "r"); - while ((len = fread(buffer, sizeof(point), BUFSIZE, f)) > 0) - points_write(len, buffer); - fclose(f); - file_delete(fname); - free(buffer); - } - fflush(stdout); - } - } -#endif /* VIAFILE */ - - if (s->npoints > 0 && rank == 0) - fprintf(stderr, " \r"); - - if (me != NULL) - minell_destroy(me); - if (s->linear) - lpi_destroy(interpolator); - else - nnpi_destroy(interpolator); - delaunay_destroy(d); - preader_destroy(pr); - specs_destroy(s); -#if !defined(USE_SHMEM) - free(pin); -#else - MPI_Win_free(&sm_win_inputdata); -#endif - - MPI_Finalize(); - - return 0; -} -#endif /* MPI */ diff --git a/autoarray/util/nn/src/nn/nncommon-vulnerable.c b/autoarray/util/nn/src/nn/nncommon-vulnerable.c deleted file mode 100644 index f93a66744..000000000 --- a/autoarray/util/nn/src/nn/nncommon-vulnerable.c +++ /dev/null @@ -1,90 +0,0 @@ -/****************************************************************************** - * - * File: nncommon-vulnerable.c - * - * Created: 05/08/2004 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: Stuff for NN interpolation library found to be vulnerable - * from -O2 optimisation by gcc. - * - * Description: None - * - * Revisions: 07/04/2005 PS: Changed numerics to force underflow when - * there is a substantial loss of precision. - * 15/04/2005 PS: Further improved numerics. Looks like it - * became pretty good, so I had to split circle_build() into - * circle_build1() -- for general use, and circle_build2() -- - * for use in nnpi_triangle_process() (it signals loss of - * precision in Watson's algorithm). - * - *****************************************************************************/ - -#include -#include -#include "nan.h" -#include "nn.h" -#include "nncommon.h" - -#define MULT 1.0e+7 - -int circle_build1(circle* c, point* p1, point* p2, point* p3) -{ - double x2 = p2->x - p1->x; - double y2 = p2->y - p1->y; - double x3 = p3->x - p1->x; - double y3 = p3->y - p1->y; - - double denom = x2 * y3 - y2 * x3; - double frac; - - if (denom == 0.0) { - c->x = NaN; - c->y = NaN; - c->r = NaN; - return 0; - } - - frac = (x2 * (x2 - x3) + y2 * (y2 - y3)) / denom; - c->x = (x3 + frac * y3) / 2.0; - c->y = (y3 - frac * x3) / 2.0; - c->r = hypot(c->x, c->y); - c->x += p1->x; - c->y += p1->y; - - return 1; -} - -int circle_build2(circle* c, point* p1, point* p2, point* p3) -{ - double x2 = p2->x - p1->x; - double y2 = p2->y - p1->y; - double x3 = p3->x - p1->x; - double y3 = p3->y - p1->y; - - double denom = x2 * y3 - y2 * x3; - double frac; - - if (denom == 0) { - c->x = NaN; - c->y = NaN; - c->r = NaN; - return 0; - } - - frac = (x2 * (x2 - x3) + y2 * (y2 - y3)) / denom; - c->x = (x3 + frac * y3) / 2.0; - c->y = (y3 - frac * x3) / 2.0; - c->r = hypot(c->x, c->y); - if (c->r > (fabs(x2) + fabs(x3) + fabs(y2) + fabs(y3)) * MULT) { - c->x = NaN; - c->y = NaN; - } else { - c->x += p1->x; - c->y += p1->y; - } - - return 1; -} diff --git a/autoarray/util/nn/src/nn/nncommon.c b/autoarray/util/nn/src/nn/nncommon.c deleted file mode 100644 index db373d602..000000000 --- a/autoarray/util/nn/src/nn/nncommon.c +++ /dev/null @@ -1,565 +0,0 @@ -/****************************************************************************** - * - * File: nncommon.c - * - * Created: 04/08/2000 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: Common stuff for NN interpolation library - * - * Description: None - * - * Revisions: 15/11/2002 PS: Changed name from "utils.c" - * 28/02/2003 PS: Modified points_read() to do the job without - * rewinding the file. This allows to read from stdin when - * necessary. - * 09/04/2003 PS: Modified points_read() to read from a - * file specified by name, not by handle. - * 05/08/2004 PS: Moved circle_build() to - * nncommon-vulnerable.c. - * - *****************************************************************************/ - -#include -#include -#include -#include -#include -#include -#include -#include -#include -#include "config.h" -#include "nan.h" -#include "nn.h" -#include "nncommon.h" - -#define BUFSIZE 1024 -#define EPS 1.0e-15 -#define NALLOCATED_START 1024 - -int nn_verbose = 0; -int nn_test_vertice = -1; -NN_RULE nn_rule = SIBSON; - -void nn_quit(char* format, ...) -{ - va_list args; - - fflush(stdout); /* just in case, to have the exit message - * last */ - - fprintf(stderr, " error: libnn: "); - va_start(args, format); - vfprintf(stderr, format, args); - va_end(args); - - exit(1); -} - -int circle_contains(circle* c, point* p) -{ - return hypot(c->x - p->x, c->y - p->y) <= c->r; -} - -/* Smoothes the input point array by averaging the input x, y and z values - * for each cell within virtual rectangular nx by ny grid. The corners of the - * grid are created from min and max values of the input array. It also frees - * the original array and returns results and new dimension via original - * data and size pointers. - * - * @param pn Pointer to number of points (input/output) - * @param ppoints Pointer to array of points (input/output) [*pn] - * @param nx Number of x nodes in decimation - * @param ny Number of y nodes in decimation - */ -void points_thingrid(int* pn, point** ppoints, int nx, int ny) -{ - int n = *pn; - point* points = *ppoints; - double xmin = DBL_MAX; - double xmax = -DBL_MAX; - double ymin = DBL_MAX; - double ymax = -DBL_MAX; - int nxy = nx * ny; - double* sumx = calloc(nxy, sizeof(double)); - double* sumy = calloc(nxy, sizeof(double)); - double* sumz = calloc(nxy, sizeof(double)); - int* count = calloc(nxy, sizeof(int)); - double stepx = 0.0; - double stepy = 0.0; - int nnew = 0; - point* pointsnew = NULL; - int i, j, ii, index; - - if (nn_verbose) - fprintf(stderr, "thinned: %d points -> ", *pn); - - if (nx < 1 || ny < 1) { - free(points); - *ppoints = NULL; - *pn = 0; - if (nn_verbose) - fprintf(stderr, "0 points"); - return; - } - - for (ii = 0; ii < n; ++ii) { - point* p = &points[ii]; - - if (p->x < xmin) - xmin = p->x; - if (p->x > xmax) - xmax = p->x; - if (p->y < ymin) - ymin = p->y; - if (p->y > ymax) - ymax = p->y; - } - - stepx = (nx > 1) ? (xmax - xmin) / nx : 0.0; - stepy = (ny > 1) ? (ymax - ymin) / ny : 0.0; - - for (ii = 0; ii < n; ++ii) { - point* p = &points[ii]; - int index; - - if (nx == 1) - i = 0; - else { - double fi = (p->x - xmin) / stepx; - - if (fabs(rint(fi) - fi) < EPS) - i = rint(fi); - else - i = (int) floor(fi); - } - if (ny == 1) - j = 0; - else { - double fj = (p->y - ymin) / stepy; - - if (fabs(rint(fj) - fj) < EPS) - j = rint(fj); - else - j = (int) floor(fj); - } - - if (i == nx) - i--; - if (j == ny) - j--; - index = i + j * nx; - sumx[index] += p->x; - sumy[index] += p->y; - sumz[index] += p->z; - count[index]++; - } - - for (j = 0; j < ny; ++j) { - for (i = 0; i < nx; ++i) { - int index = i + j * nx; - - if (count[index] > 0) - nnew++; - } - } - - pointsnew = malloc(nnew * sizeof(point)); - - for (j = 0, index = 0, ii = 0; j < ny; ++j) { - for (i = 0; i < nx; ++i, ++index) { - int nn = count[index]; - - if (nn > 0) { - point* p = &pointsnew[ii]; - - p->x = sumx[index] / nn; - p->y = sumy[index] / nn; - p->z = sumz[index] / nn; - ii++; - } - } - } - - if (nn_verbose) - fprintf(stderr, "%d points\n", nnew); - - free(sumx); - free(sumy); - free(sumz); - free(count); - - free(points); - *ppoints = pointsnew; - *pn = nnew; -} - -/* Smoothes the input point array by averaging the input data (X,Y and Z - * values) until the sum of the distances between points does not exceed the - * specified maximum value. It also frees the original array and returns - * results and new dimension via original data and size pointers. - * - * @param pn Pointer to number of points (input/output) - * @param ppoints Pointer to array of points (input/output) [*pn] - * @param rmax Maximum allowed accumulated distance - */ -void points_thinlin(int* nin, point** pin, double rmax) -{ - int nout = 0; - int nallocated = NALLOCATED_START; - point* pout = malloc(nallocated * sizeof(point)); - double n = 0; - double sum_x = 0.0; - double sum_y = 0.0; - double sum_z = 0.0; - double sum_r = 0.0; - point* pprev = NULL; - int i; - - for (i = 0; i < *nin; ++i) { - point* p = &(*pin)[i]; - double dist; - - if (isnan(p->x) || isnan(p->y) || isnan(p->z)) { - if (pprev != NULL) { - /* - * write point - */ - if (nout == nallocated) { - nallocated = nallocated * 2; - pout = realloc(pout, nallocated * sizeof(point)); - } - pout[nout].x = sum_x / (double) n; - pout[nout].y = sum_y / (double) n; - pout[nout].z = sum_z / (double) n; - nout++; - /* - * reset cluster - */ - pprev = NULL; - } - continue; - } - - /* - * init cluster - */ - if (pprev == NULL) { - sum_x = p->x; - sum_y = p->y; - sum_z = p->z; - sum_r = 0.0; - n = 1; - pprev = p; - continue; - } - - dist = hypot(p->x - pprev->x, p->y - pprev->y); - if (sum_r + dist > rmax) { - /* - * write point - */ - if (nout == nallocated) { - nallocated = nallocated * 2; - pout = realloc(pout, nallocated * sizeof(point)); - } - pout[nout].x = sum_x / (double) n; - pout[nout].y = sum_y / (double) n; - pout[nout].z = sum_z / (double) n; - nout++; - /* - * reset cluster - */ - pprev = NULL; - } else { - /* - * add to cluster - */ - sum_x += p->x; - sum_y += p->y; - sum_z += p->z; - sum_r += dist; - n++; - pprev = p; - } - } - - free(*pin); - *pin = realloc(pout, nout * sizeof(point)); - *nin = nout; -} - -/* Calculates X and/or Y ranges of the input array of points. If necessary, - * adjusts the range according to the zoom value. - * - * @param n Number of points - * @param points Array of points - * @param xmin Min X value if *xmin = NaN on input, not changed otherwise - * @param xmax Max X value if *xmax = NaN on input, not changed otherwise - * @param ymin Min Y value if *ymin = NaN on input, not changed otherwise - * @param ymax Max Y value if *ymax = NaN on input, not changed otherwise - */ -void points_getrange(int n, point points[], double zoom, double* xmin, double* xmax, double* ymin, double* ymax) -{ - int i; - - if (xmin != NULL) { - if (isnan(*xmin)) - *xmin = DBL_MAX; - else - xmin = NULL; - } - if (xmax != NULL) { - if (isnan(*xmax)) - *xmax = -DBL_MAX; - else - xmax = NULL; - } - if (ymin != NULL) { - if (isnan(*ymin)) - *ymin = DBL_MAX; - else - ymin = NULL; - } - if (ymax != NULL) { - if (isnan(*ymax)) - *ymax = -DBL_MAX; - else - ymax = NULL; - } - - for (i = 0; i < n; ++i) { - point* p = &points[i]; - - if (xmin != NULL && p->x < *xmin) - *xmin = p->x; - if (xmax != NULL && p->x > *xmax) - *xmax = p->x; - if (ymin != NULL && p->y < *ymin) - *ymin = p->y; - if (ymax != NULL && p->y > *ymax) - *ymax = p->y; - } - - if (isnan(zoom) || zoom <= 0.0 || zoom == 1.0) - return; - - if (xmin != NULL && xmax != NULL) { - double xdiff2 = (*xmax - *xmin) / 2.0; - double xav = (*xmax + *xmin) / 2.0; - - *xmin = xav - xdiff2 * zoom; - *xmax = xav + xdiff2 * zoom; - } - if (ymin != NULL && ymax != NULL) { - double ydiff2 = (*ymax - *ymin) / 2.0; - double yav = (*ymax + *ymin) / 2.0; - - *ymin = yav - ydiff2 * zoom; - *ymax = yav + ydiff2 * zoom; - } -} - -/* Generates rectangular grid nx by ny using specified min and max x and y - * values. Allocates space for the output point array, be sure to free it - * when necessary! - * - * @param xmin Min x value - * @param xmax Max x value - * @param ymin Min y value - * @param ymax Max y value - * @param nx Number of x nodes - * @param ny Number of y nodes - * @param nout Pointer to number of output points - * @param pout Pointer to array of output points [*nout] - */ -void points_generate(double xmin, double xmax, double ymin, double ymax, int nx, int ny, int* nout, point** pout) -{ - double stepx, stepy; - double x0, xx, yy; - int i, j, ii; - - if (nx < 1 || ny < 1) { - *pout = NULL; - *nout = 0; - return; - } - - *nout = nx * ny; - *pout = malloc(*nout * sizeof(point)); - - stepx = (nx > 1) ? (xmax - xmin) / (nx - 1) : 0.0; - stepy = (ny > 1) ? (ymax - ymin) / (ny - 1) : 0.0; - x0 = (nx > 1) ? xmin : (xmin + xmax) / 2.0; - yy = (ny > 1) ? ymin : (ymin + ymax) / 2.0; - - ii = 0; - for (j = 0; j < ny; ++j) { - xx = x0; - for (i = 0; i < nx; ++i) { - point* p = &(*pout)[ii]; - - p->x = xx; - p->y = yy; - xx += stepx; - ii++; - } - yy += stepy; - } -} - -int str2double(char* token, double* value) -{ - char* end = NULL; - - if (token == NULL) { - *value = NaN; - return 0; - } - - *value = strtod(token, &end); - - if (end == token) { - *value = NaN; - return 0; - } - - return 1; -} - -/* Reads array of points from a columnar file. - * - * @param fname File name (can be "stdin" for standard input) - * @param dim Number of dimensions (must be 2 or 3) - * @param n Pointer to number of points (output) - * @param points Pointer to array of points [*n] (output) (to be freed) - */ -void points_read(char* fname, int dim, int* n, point** points) -{ - FILE* f = NULL; - int nallocated = NALLOCATED_START; - char buf[BUFSIZE]; - char seps[] = " ,;\t"; - char* token; - - if (dim < 2 || dim > 3) { - *n = 0; - *points = NULL; - return; - } - - if (fname == NULL) - f = stdin; - else { - if (strcmp(fname, "stdin") == 0 || strcmp(fname, "-") == 0) - f = stdin; - else { - f = fopen(fname, "r"); - if (f == NULL) - nn_quit("%s: %s\n", fname, strerror(errno)); - } - } - - *points = malloc(nallocated * sizeof(point)); - *n = 0; - while (fgets(buf, BUFSIZE, f) != NULL) { - point* p; - - if (*n == nallocated) { - nallocated *= 2; - *points = realloc(*points, nallocated * sizeof(point)); - } - - p = &(*points)[*n]; - - if (buf[0] == '#') - continue; - if ((token = strtok(buf, seps)) == NULL) - continue; - if (!str2double(token, &p->x)) - continue; - if ((token = strtok(NULL, seps)) == NULL) - continue; - if (!str2double(token, &p->y)) - continue; - if (dim == 2) - p->z = NaN; - else { - if ((token = strtok(NULL, seps)) == NULL) - continue; - if (!str2double(token, &p->z)) - continue; - } - (*n)++; - } - - if (*n == 0) { - free(*points); - *points = NULL; - } else - *points = realloc(*points, *n * sizeof(point)); - - if (f != stdin) - if (fclose(f) != 0) - nn_quit("%s: %s\n", fname, strerror(errno)); -} - -/** Scales Y coordinate so that the resulting set fits into square: - ** xmax - xmin = ymax - ymin - * - * @param n Number of points - * @param points The points to scale - * @return Y axis compression coefficient - */ -double points_scaletosquare(int n, point* points) -{ - double xmin, ymin, xmax, ymax; - double k; - int i; - - if (n <= 0) - return NaN; - - xmin = xmax = points[0].x; - ymin = ymax = points[0].y; - - for (i = 1; i < n; ++i) { - point* p = &points[i]; - - if (p->x < xmin) - xmin = p->x; - else if (p->x > xmax) - xmax = p->x; - if (p->y < ymin) - ymin = p->y; - else if (p->y > ymax) - ymax = p->y; - } - - if (xmin == xmax || ymin == ymax) - return NaN; - else - k = (ymax - ymin) / (xmax - xmin); - - for (i = 0; i < n; ++i) - points[i].y /= k; - - return k; -} - -/** Compresses Y domain by a given multiple. - * - * @param n Number of points - * @param points The points to scale - * @param Y axis compression coefficient as returned by points_scaletosquare() - */ -void points_scale(int n, point* points, double k) -{ - int i; - - for (i = 0; i < n; ++i) - points[i].y /= k; -} diff --git a/autoarray/util/nn/src/nn/nncommon.h b/autoarray/util/nn/src/nn/nncommon.h deleted file mode 100644 index 20da9b5ad..000000000 --- a/autoarray/util/nn/src/nn/nncommon.h +++ /dev/null @@ -1,16 +0,0 @@ -#if !defined(_NNCOMMON_H) -#define _NN_COMMON_H - -typedef struct { - double x; - double y; - double r; -} circle; - -int circle_build1(circle* c, point* p0, point* p1, point* p2); -int circle_build2(circle* c, point* p0, point* p1, point* p2); -int circle_contains(circle* c, point* p); -void nn_quit(char* format, ...); -int str2double(char* token, double* value); - -#endif /* _NN_COMMON_H */ diff --git a/autoarray/util/nn/src/nn/nnconfig.h.in b/autoarray/util/nn/src/nn/nnconfig.h.in deleted file mode 100644 index e69de29bb..000000000 diff --git a/autoarray/util/nn/src/nn/nnhpi_customized.c b/autoarray/util/nn/src/nn/nnhpi_customized.c deleted file mode 100644 index 843625d38..000000000 --- a/autoarray/util/nn/src/nn/nnhpi_customized.c +++ /dev/null @@ -1,129 +0,0 @@ -#include -#include -#include -#include -#include "nn.h" -#include "nnpi.h" -#include "nncommon.h" -#include "delaunay_internal.h" - - - -int interpolate_from(double *xc, double *yc, double *zc, int nin, double *xout, double *yout, double *zout, int* bad_markers, - int nout) -{ - - //printf(" Start! "); - - point* pin = NULL; - delaunay* d = NULL; - nnhpi* nn = NULL; - - int i; - - //int nout = 0; - point* pout = NULL; - - pin = malloc(nin * sizeof(point)); - - for (i = 0; i < nin; ++i) { - point* p = &pin[i]; - - p->x = xc[i]; - p->y = yc[i]; - p->z = zc[i]; - } - - d = delaunay_build(nin, pin, 0, NULL, 0, NULL); - - //points_generate(2.0, 3.0, 2.0, 3.0, 3, 3, &nout, &pout); - - pout = malloc(nout * sizeof(point)); - - for (i = 0; i < nout; ++i) { - point* p = &pout[i]; - p->x = xout[i]; - p->y = yout[i]; - } - - nn = nnhpi_create(d, nout); - - for (i = 0; i < nout; ++i) { - point* p = &pout[i]; - bad_markers[i] = nnhpi_interpolate_output_marker(nn, p); - zout[i] = p-> z; - //printf(" (%f, %f, %f)\n ", p->x, p->y, p->z); - } - - nnhpi_destroy(nn); - free(pout); - delaunay_destroy(d); - free(pin); - //printf(" Done! "); - - return 0; -} - -int interpolate_weights_from( - double *xc, - double *yc, - double *zc, - int nin, - double *xout, - double *yout, - int nout, - double *weights_out, - int *neighbor_index, - int max_nneighbor) -{ - - //printf(" Start! "); - - point* pin = NULL; - delaunay* d = NULL; - nnhpi* nn = NULL; - - int i; - - //int nout = 0; - point* pout = NULL; - - pin = malloc(nin * sizeof(point)); - - for (i = 0; i < nin; ++i) { - point* p = &pin[i]; - - p->x = xc[i]; - p->y = yc[i]; - p->z = zc[i]; - } - - d = delaunay_build(nin, pin, 0, NULL, 0, NULL); - - //points_generate(2.0, 3.0, 2.0, 3.0, 3, 3, &nout, &pout); - - pout = malloc(nout * sizeof(point)); - - for (i = 0; i < nout; ++i) { - point* p = &pout[i]; - p->x = xout[i]; - p->y = yout[i]; - } - - nn = nnhpi_create(d, nout); - - for (i = 0; i < nout; ++i) { - point* p = &pout[i]; - nnhpi_interpolate_get_weights(nn, p, weights_out, neighbor_index, max_nneighbor, i); - //printf(" (%f, %f, %f)\n ", p->x, p->y, p->z); - } - - - nnhpi_destroy(nn); - free(pout); - delaunay_destroy(d); - free(pin); - //printf(" Done! "); - - return 0; -} diff --git a/autoarray/util/nn/src/nn/nnpi.c b/autoarray/util/nn/src/nn/nnpi.c deleted file mode 100644 index 1bad83065..000000000 --- a/autoarray/util/nn/src/nn/nnpi.c +++ /dev/null @@ -1,1409 +0,0 @@ -/***************************************************************************** - * - * File: nnpi.c - * - * Created: 15/11/2002 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: Code for: - * -- Natural Neighbours Point Interpolator - * -- Natural Neighbours Point Hashing Interpolator - * - * Description: `nnpi' -- "Natural Neighbours Point Interpolator" -- is a - * structure for conducting Natural Neighbours interpolation on - * a "point-to-point" basis. Because it calculates weights for - * each output point, `nnpi' does not take advantage of - * repeated interpolations when locations of input and output - * data points do not change -- use `nnhpi' or `nnai' in these - * cases. - * - * `nnhpi' -- "Natural Neighbours Hashing Point Interpolator" - * is a structure for conducting repeated Natural Neighbours - * interpolations when (i) input data points have constant - * locations and (ii) locations of output data points are often - * repeated. - * - * For Sibson NN interpolation this code uses Dave Watson's - * algorithm (Watson, D. F. nngridr: An implementation of - * natural neighbour interpolation. David Watson, 1994). - * - * For non-Sibsonian NN interpolation this code uses Eq.(40) - * from Sukumar, N., Moran, B., Semenov, A. Yu, and - * Belikov V. V. Natural neighbour Galerkin methods. - * Int. J. Numer. Meth. Engng 2001, v.50: 1­27. - * - * - * Revisions: 01/04/2003 PS: modified nnpi_triangle_process(): for - * Sibson interpolation, if circle_build fails(), now a - * local copy of a point is moved slightly rather than the - * data point itself. The later approach have found leading - * to inconsistencies of the new point position with the - * earlier built triangulation. - * 22/11/2006 PS: introduced special treatment for big circles - * by moving their centers in a certain way, closer to the - * data points; added hashtable nn->bad to account for - * such events. Modified _nnpi_calculate_weights() to handle - * the case when instead of being in between two data points - * the interpolation point is close to a data point. - * 30/10/2007 PS: Modified treatment of degenerate cases in - * nnpi_triangle_process(), many thanks to John Gerschwitz, - * Petroleum Geo-Services, for exposing the defect introduced - * in v. 1.69. Changed EPS_SAME from 1.0e-15 to 1.0e-8. Also - * modified nnpi_calculate_weights(). - * 30/10/2007 PS: Got rid of memset(nn->d->flags, ...) in - * nnpi_reset(). The flags are reset now internally on return - * from delaunay_circles_find(). This is very important - * for large datasets, many thanks to John Gerschwitz, - * Petroleum Geo-Services, for identifying the problem. - * - *****************************************************************************/ - -#include -#include -#include -#include -#include -#include -#include -#include "nan.h" -#include "hash.h" -#include "nn.h" -#include "nncommon.h" -#include "istack_internal.h" -#include "delaunay_internal.h" - - -//int test_add(int a, int b) { -// -// printf("test_add called! \n"); -// fflush(stdout); -// return a + b; -//} - - - -struct nnpi { - dsearch* ds; - double wmin; - int n; /* number of points processed */ - /* - * work variables - */ - int ncircles; - int nvertices; - int nallocated; - int* vertices; /* vertex indices */ - double* weights; - double dx, dy; /* vertex perturbation */ - hashtable* bad; /* ids of vertices that require a special - * treatment */ -}; - -#define NSTART 10 -#define NINC 10 -#define EPS_SHIFT 1.0e-5 -#define BIGNUMBER 1.0e+100 -#define EPS_WMIN 1.0e-6 -#define HT_SIZE 100 -#define EPS_SAME 1.0e-8 - -/* Creates Natural Neighbours point interpolator. - * - * @param d Delaunay triangulation - * @return Natural Neighbours interpolation - */ -nnpi* nnpi_create(delaunay* d) -{ - nnpi* nn = malloc(sizeof(nnpi)); - - nn->ds = dsearch_build(d); - nn->wmin = -DBL_MAX; - nn->n = 0; - nn->ncircles = 0; - nn->vertices = calloc(NSTART, sizeof(int)); - nn->weights = calloc(NSTART, sizeof(double)); - nn->nvertices = 0; - nn->nallocated = NSTART; - nn->bad = NULL; - - return nn; -} - -/* Destroys Natural Neighbours point interpolator. - * - * @param nn Structure to be destroyed - */ -void nnpi_destroy(nnpi* nn) -{ - dsearch_destroy(nn->ds); - free(nn->weights); - free(nn->vertices); - free(nn); -} - -void nnpi_reset(nnpi* nn) -{ - nn->nvertices = 0; - nn->ncircles = 0; - if (nn->bad != NULL) { - ht_destroy(nn->bad); - nn->bad = NULL; - } -} - -static void nnpi_add_weight(nnpi* nn, int vertex, double w) -{ - int i; - - /* - * find whether the vertex is already in the list - */ - /* - * For clustered data the number of natural neighbours for a point may - * be quite big ( a few hundreds in example 2), and using hashtable here - * could accelerate things a bit. However, profiling shows that use of - * linear search is not a major issue. - */ - for (i = 0; i < nn->nvertices; ++i) - if (nn->vertices[i] == vertex) - break; - - if (i == nn->nvertices) { /* not in the list */ - /* - * get more memory if necessary - */ - if (nn->nvertices == nn->nallocated) { - nn->vertices = realloc(nn->vertices, (nn->nallocated + NINC) * sizeof(int)); - nn->weights = realloc(nn->weights, (nn->nallocated + NINC) * sizeof(double)); - nn->nallocated += NINC; - } - - /* - * add the vertex to the list - */ - nn->vertices[i] = vertex; - nn->weights[i] = w; - nn->nvertices++; - } else /* in the list */ - nn->weights[i] += w; -} - -/* This is a central procedure for the Natural Neighbours interpolation. It - * uses the Watson's algorithm for the required areas calculation and implies - * that the vertices of the delaunay triangulation are listed in uniform - * (clockwise or counterclockwise) order. - */ -static void nnpi_triangle_process(nnpi* nn, point* p, int i) -{ - delaunay* d = nn->ds->d; - triangle* t = &d->triangles[i]; - circle* c = &d->circles[i]; - circle cs[3]; - int j; - - /* - * There used to be a useful assertion here: - * - * assert(circle_contains(c, p)); - * - * I removed it after introducing flag `contains' to - * delaunay_circles_find(). It looks like the code is robust enough to - * run without this assertion. - */ - - /* - * Sibson interpolation by using Watson's algorithm - */ - for (j = 0; j < 3; ++j) { - int j1 = (j + 1) % 3; - int j2 = (j + 2) % 3; - int v1 = t->vids[j1]; - int v2 = t->vids[j2]; - - if (!circle_build2(&cs[j], &d->points[v1], &d->points[v2], p)) { - point* p1 = &d->points[v1]; - point* p2 = &d->points[v2]; - - if ((fabs(p1->x - p->x) + fabs(p1->y - p->y)) / c->r < EPS_SAME) { - /* - * if (p1->x == p->x && p1->y == p->y) { - */ - nnpi_add_weight(nn, v1, BIGNUMBER); - return; - } else if ((fabs(p2->x - p->x) + fabs(p2->y - p->y)) / c->r < EPS_SAME) { - /* - * } else if (p2->x == p->x && p2->y == p->y) { - */ - nnpi_add_weight(nn, v2, BIGNUMBER); - return; - } - } - } - - for (j = 0; j < 3; ++j) { - int j1 = (j + 1) % 3; - int j2 = (j + 2) % 3; - double det = ((cs[j1].x - c->x) * (cs[j2].y - c->y) - (cs[j2].x - c->x) * (cs[j1].y - c->y)); - - if (isnan(det)) { - /* - * Here, if the determinant is NaN, then the interpolation point - * is almost in between two data points. This case is difficult to - * handle robustly because the areas (determinants) calculated by - * Watson's algorithm are obtained as a diference between two big - * numbers. This case is handled here in the following way. - * - * If a circle is recognised as very large in circle_build2(), then - * its parameters are replaced by NaNs, which results in the - * variable `det' above being NaN. - * - * When this happens inside convex hall of the data, there is - * always a triangle on another side of the edge, processing of - * which also produces an invalid circle. Processing of this edge - * yields two pairs of infinite determinants, with singularities - * of each pair cancelling if the point moves slightly off the edge. - * - * Each of the determinants corresponds to the (signed) area of a - * triangle, and an inifinite determinant corresponds to the area of - * a triangle with one vertex moved to infinity. "Subtracting" one - * triangle from another within each pair yields a valid - * quadrilateral (in fact, a trapezoid). The doubled area of these - * quadrilaterals is calculated in the cycle over ii below. - */ - int j1bad = isnan(cs[j1].x); - int key[2]; - double* v = NULL; - - key[0] = t->vids[j]; - - if (nn->bad == NULL) - nn->bad = ht_create_i2(HT_SIZE); - - key[1] = (j1bad) ? t->vids[j2] : t->vids[j1]; - v = ht_find(nn->bad, &key); - - if (v == NULL) { - v = malloc(8 * sizeof(double)); - if (j1bad) { - v[0] = cs[j2].x; - v[1] = cs[j2].y; - } else { - v[0] = cs[j1].x; - v[1] = cs[j1].y; - } - v[2] = c->x; - v[3] = c->y; - (void) ht_insert(nn->bad, &key, v); - det = 0.0; - } else { - int ii; - - /* - * Looking for a matching "bad" triangle. I guess it is - * possible that the first circle will come out from - * circle_build2()as "bad", but the matching cicle will not; - * hence the ">" condition below. - */ - if (j1bad || cs[j1].r > cs[j2].r) { - v[6] = cs[j2].x; - v[7] = cs[j2].y; - } else { - v[6] = cs[j1].x; - v[7] = cs[j1].y; - } - v[4] = c->x; - v[5] = c->y; - - det = 0; - for (ii = 0; ii < 4; ++ii) { - int ii1 = (ii + 1) % 4; - - det += (v[ii * 2] + v[ii1 * 2]) * (v[ii * 2 + 1] - v[ii1 * 2 + 1]); - } - det = fabs(det); - - free(v); - ht_delete(nn->bad, &key); - } - } - - nnpi_add_weight(nn, t->vids[j], det); - } -} - -static int compare_int(const void* p1, const void* p2) -{ - int* v1 = (int*) p1; - int* v2 = (int*) p2; - - if (*v1 > *v2) - return 1; - else if (*v1 < *v2) - return -1; - else - return 0; -} - -typedef struct { - point* p0; - point* p1; - point* p; - int i; -} indexedpoint; - -static int onleftside(point* p, point* p0, point* p1) -{ - return (p0->x - p->x) * (p1->y - p->y) > (p1->x - p->x) * (p0->y - p->y); -} - -static int compare_indexedpoints(const void* pp1, const void* pp2) -{ - indexedpoint* ip1 = (indexedpoint*) pp1; - indexedpoint* ip2 = (indexedpoint*) pp2; - point* p0 = ip1->p0; - point* p1 = ip1->p1; - point* a = ip1->p; - point* b = ip2->p; - - if (onleftside(a, p0, b)) { - if (onleftside(a, p0, p1) && !onleftside(b, p0, p1)) - /* - * (the reason for the second check is that while we want to sort - * the natural neighbours in a clockwise manner, one needs to break - * the circuit at some point) - */ - return 1; - else - return -1; - } else { - if (onleftside(b, p0, p1) && !onleftside(a, p0, p1)) - /* - * (see the comment above) - */ - return -1; - else - return 1; - } -} - -static void nnpi_getneighbours(nnpi* nn, point* p, int nt, int* tids, int* n, int** nids) -{ - delaunay* d = nn->ds->d; - istack* neighbours = istack_create(); - indexedpoint* v = NULL; - int i; - - for (i = 0; i < nt; ++i) { - triangle* t = &d->triangles[tids[i]]; - - istack_push(neighbours, t->vids[0]); - istack_push(neighbours, t->vids[1]); - istack_push(neighbours, t->vids[2]); - } - qsort(neighbours->v, neighbours->n, sizeof(int), compare_int); - - v = malloc(sizeof(indexedpoint) * neighbours->n); - - v[0].p = &d->points[neighbours->v[0]]; - v[0].i = neighbours->v[0]; - *n = 1; - for (i = 1; i < neighbours->n; ++i) { - if (neighbours->v[i] == neighbours->v[i - 1]) - continue; - v[*n].p = &d->points[neighbours->v[i]]; - v[*n].i = neighbours->v[i]; - (*n)++; - } - - /* - * I assume that if there is exactly one tricircle the point belongs to, - * then number of natural neighbours *n = 3, and they are already sorted - * in the right way in triangulation process. - */ - if (*n > 3) { - v[0].p0 = NULL; - v[0].p1 = NULL; - for (i = 1; i < *n; ++i) { - v[i].p0 = p; - v[i].p1 = v[0].p; - } - - qsort(&v[1], *n - 1, sizeof(indexedpoint), compare_indexedpoints); - } - - (*nids) = malloc(*n * sizeof(int)); - - for (i = 0; i < *n; ++i) - (*nids)[i] = v[i].i; - - istack_destroy(neighbours); - free(v); -} - -static int nnpi_neighbours_process(nnpi* nn, point* p, int n, int* nids) -{ - delaunay* d = nn->ds->d; - int i; - - for (i = 0; i < n; ++i) { - int im1 = (i + n - 1) % n; - int ip1 = (i + 1) % n; - point* p0 = &d->points[nids[i]]; - point* pp1 = &d->points[nids[ip1]]; - point* pm1 = &d->points[nids[im1]]; - double nom1, nom2, denom1, denom2; - - denom1 = (p0->x - p->x) * (pp1->y - p->y) - (p0->y - p->y) * (pp1->x - p->x); - denom2 = (p0->x - p->x) * (pm1->y - p->y) - (p0->y - p->y) * (pm1->x - p->x); - if (denom1 == 0.0) { - if (p->x == p0->x && p->y == p0->y) { - nnpi_add_weight(nn, nids[i], BIGNUMBER); - return 1; - } else if (p->x == pp1->x && p->y == pp1->y) { - nnpi_add_weight(nn, nids[ip1], BIGNUMBER); - return 1; - } else { - nn->dx = EPS_SHIFT * (pp1->y - p0->y); - nn->dy = -EPS_SHIFT * (pp1->x - p0->x); - return 0; - } - } - if (denom2 == 0.0) { - if (p->x == pm1->x && p->y == pm1->y) { - nnpi_add_weight(nn, nids[im1], BIGNUMBER); - return 1; - } else { - nn->dx = EPS_SHIFT * (pm1->y - p0->y); - nn->dy = -EPS_SHIFT * (pm1->x - p0->x); - return 0; - } - } - - nom1 = (p0->x - pp1->x) * (pp1->x - p->x) + (p0->y - pp1->y) * (pp1->y - p->y); - nom2 = (p0->x - pm1->x) * (pm1->x - p->x) + (p0->y - pm1->y) * (pm1->y - p->y); - nnpi_add_weight(nn, nids[i], nom1 / denom1 - nom2 / denom2); - } - - return 1; -} - -static int _nnpi_calculate_weights(nnpi* nn, point* p) -{ - int* tids = NULL; - int i; - - dsearch_circles_find(nn->ds, p, &nn->ncircles, &tids); - if (nn->ncircles == 0) - return 1; - - /* - * The algorithms of calculating weights for Sibson and non-Sibsonian - * interpolations are quite different; in the first case, the weights are - * calculated by processing Delaunay triangles whose tricircles contain - * the interpolated point; in the second case, they are calculated by - * processing triplets of natural neighbours by moving clockwise or - * counterclockwise around the interpolated point. - */ - if (nn_rule == SIBSON) { - for (i = 0; i < nn->ncircles; ++i) - nnpi_triangle_process(nn, p, tids[i]); - if (nn->bad != NULL) { - int nentries = ht_getnentries(nn->bad); - - if (nentries > 0) { - ht_process(nn->bad, free); - return 0; - } - } - return 1; - } else if (nn_rule == NON_SIBSONIAN) { - int nneigh = 0; - int* nids = NULL; - int status; - - nnpi_getneighbours(nn, p, nn->ncircles, tids, &nneigh, &nids); - status = nnpi_neighbours_process(nn, p, nneigh, nids); - free(nids); - - return status; - } else - nn_quit("programming error"); - - return 0; -} - -static void nnpi_normalize_weights(nnpi* nn) -{ - int n = nn->nvertices; - double sum = 0.0; - int i; - - for (i = 0; i < n; ++i) - sum += nn->weights[i]; - - for (i = 0; i < n; ++i) - nn->weights[i] /= sum; -} - -#define RANDOM (double) rand() / ((double) RAND_MAX + 1.0) - -void nnpi_calculate_weights(nnpi* nn, point* p) -{ - delaunay* d = nn->ds->d; - point pp; - int nvertices = 0; - int* vertices = NULL; - double* weights = NULL; - int i; - - nnpi_reset(nn); - - if (_nnpi_calculate_weights(nn, p)) { - nnpi_normalize_weights(nn); - return; - } - - nnpi_reset(nn); - - nn->dx = (d->xmax - d->xmin) * EPS_SHIFT; - nn->dy = (d->ymax - d->ymin) * EPS_SHIFT; - - pp.x = p->x + nn->dx; - pp.y = p->y + nn->dy; - - while (!_nnpi_calculate_weights(nn, &pp)) { - nnpi_reset(nn); - pp.x = p->x + nn->dx * RANDOM; - pp.y = p->y + nn->dy * RANDOM; - } - nnpi_normalize_weights(nn); - - nvertices = nn->nvertices; - if (nvertices > 0) { - vertices = malloc(nvertices * sizeof(int)); - memcpy(vertices, nn->vertices, nvertices * sizeof(int)); - weights = malloc(nvertices * sizeof(double)); - memcpy(weights, nn->weights, nvertices * sizeof(double)); - } - - nnpi_reset(nn); - - pp.x = 2.0 * p->x - pp.x; - pp.y = 2.0 * p->y - pp.y; - - while (!_nnpi_calculate_weights(nn, &pp) || nn->nvertices == 0) { - nnpi_reset(nn); - pp.x = p->x + nn->dx * RANDOM; - pp.y = p->y + nn->dy * RANDOM; - } - nnpi_normalize_weights(nn); - - if (nvertices > 0) - for (i = 0; i < nn->nvertices; ++i) - nn->weights[i] /= 2.0; - - for (i = 0; i < nvertices; ++i) - nnpi_add_weight(nn, vertices[i], weights[i] / 2.0); - - if (nvertices > 0) { - free(vertices); - free(weights); - } -} - -typedef struct { - double* v; - int i; -} indexedvalue; - -static int cmp_iv(const void* p1, const void* p2) -{ - double v1 = *((indexedvalue *) p1)->v; - double v2 = *((indexedvalue *) p2)->v; - - if (v1 > v2) - return -1; - if (v1 < v2) - return 1; - return 0; -} - -/* Performs Natural Neighbours interpolation in a point. - * - * @param nn NN interpolation - * @param p Point to be interpolated (p->x, p->y -- input; p->z -- output) - */ -void nnpi_interpolate_point(nnpi* nn, point* p) -{ - delaunay* d = nn->ds->d; - int i; - - nnpi_calculate_weights(nn, p); - - if (nn_verbose) { - if (nn_test_vertice == -1) { - indexedvalue* ivs = NULL; - - if (nn->nvertices > 0) { - ivs = malloc(nn->nvertices * sizeof(indexedvalue)); - - for (i = 0; i < nn->nvertices; ++i) { - ivs[i].i = nn->vertices[i]; - ivs[i].v = &nn->weights[i]; - } - - qsort(ivs, nn->nvertices, sizeof(indexedvalue), cmp_iv); - } - - if (nn->n == 0) - fprintf(stderr, "weights:\n"); - fprintf(stderr, " %d: (%.10g, %10g)\n", nn->n, p->x, p->y); - fprintf(stderr, " %4s %15s %15s %15s %15s\n", "id", "x", "y", "z", "w"); - for (i = 0; i < nn->nvertices; ++i) { - int ii = ivs[i].i; - point* pp = &d->points[ii]; - - fprintf(stderr, " %5d %15.10g %15.10g %15.10g %15f\n", ii, pp->x, pp->y, pp->z, *ivs[i].v); - } - - if (nn->nvertices > 0) - free(ivs); - } else { - double w = 0.0; - - if (nn->n == 0) - fprintf(stderr, "weight of vertex %d:\n", nn_test_vertice); - for (i = 0; i < nn->nvertices; ++i) { - if (nn->vertices[i] == nn_test_vertice) { - w = nn->weights[i]; - break; - } - } - fprintf(stderr, " (%.10g, %.10g): %.7g\n", p->x, p->y, w); - } - } - - nn->n++; - - if (nn->nvertices == 0) { - p->z = NaN; - return; - } - - p->z = 0.0; - for (i = 0; i < nn->nvertices; ++i) { - double weight = nn->weights[i]; - - if (weight < nn->wmin) { - p->z = NaN; - return; - } - p->z += d->points[nn->vertices[i]].z * weight; - } -} - -/* Performs Natural Neighbours interpolation for an array of points. - * - * @param d Delaunay triangulation - * @param pin Array of input points [pin] - * @param wmin Minimal allowed weight - * @param nout Number of output points - * @param pout Array of output points [nout] - */ -void nnpi_interpolate_points(delaunay* d, double wmin, int nout, point pout[]) -{ - nnpi* nn = nnpi_create(d); - int seed = 0; - int i; - - nnpi_setwmin(nn, wmin); - - if (nn_verbose) { - fprintf(stderr, "xytoi:\n"); - for (i = 0; i < nout; ++i) { - point* p = &pout[i]; - - fprintf(stderr, "(%.7g,%.7g) -> %d\n", p->x, p->y, delaunay_xytoi(d, p, seed)); - } - } - - for (i = 0; i < nout; ++i) - nnpi_interpolate_point(nn, &pout[i]); - - if (nn_verbose) { - fprintf(stderr, "output:\n"); - for (i = 0; i < nout; ++i) { - point* p = &pout[i]; - - fprintf(stderr, " %d:%15.7g %15.7g %15.7g\n", i, p->x, p->y, p->z); - } - } - - nnpi_destroy(nn); -} - -/* Sets minimal allowed weight for Natural Neighbours interpolation. - * - * For Sibson interpolation, setting wmin = 0 is equivalent to interpolating - * inside convex hall of the data only (returning NaNs otherwise). - * - * @param nn Natural Neighbours point interpolator - * @param wmin Minimal allowed weight - */ -void nnpi_setwmin(nnpi* nn, double wmin) -{ - nn->wmin = (wmin == 0) ? -EPS_WMIN : wmin; -} - -/* Gets number of data points involved in current interpolation. For use by - * `nnai'. - * - * @return Number of data points involved in current interpolation - */ -int nnpi_get_nvertices(nnpi* nn) -{ - return nn->nvertices; -} - -/* Gets indices of data points involved in current interpolation. For use by - * `nnai'. - * - * @return indices of data points involved in current interpolation - */ -int* nnpi_get_vertices(nnpi* nn) -{ - return nn->vertices; -} - -/* Gets weights of data points involved in current interpolation. For use by - * `nnai'. - * @return weights of data points involved in current interpolation - */ -double* nnpi_get_weights(nnpi* nn) -{ - return nn->weights; -} - -/* - * nnhpi - */ - -struct nnhpi { - nnpi* nnpi; - hashtable* ht_data; - hashtable* ht_weights; - int n; /* number of points processed */ -}; - -typedef struct { - int nvertices; - int* vertices; /* vertex indices [nvertices] */ - double* weights; /* vertex weights [nvertices] */ -} nn_weights; - -/* Creates Natural Neighbours hashing point interpolator. - * - * @param d Delaunay triangulation - * @param size Hash table size (should be of order of number of output points) - * @return Natural Neighbours interpolation - */ -nnhpi* nnhpi_create(delaunay* d, int size) -{ - nnhpi* nn = malloc(sizeof(nnhpi)); - int i; - - nn->nnpi = nnpi_create(d); - - nn->ht_data = ht_create_d2(d->npoints); - nn->ht_weights = ht_create_d2(size); - nn->n = 0; - - for (i = 0; i < d->npoints; ++i) - ht_insert(nn->ht_data, &d->points[i], &d->points[i]); - - return nn; -} - -static void free_nn_weights(void* data) -{ - nn_weights* weights = (nn_weights*) data; - - free(weights->vertices); - free(weights->weights); - free(weights); -} - -/* Destroys Natural Neighbours hashing point interpolation. - * - * @param nn Structure to be destroyed - */ -void nnhpi_destroy(nnhpi* nn) -{ - ht_destroy(nn->ht_data); - ht_process(nn->ht_weights, free_nn_weights); - ht_destroy(nn->ht_weights); - nnpi_destroy(nn->nnpi); -} - -/* Finds Natural Neighbours-interpolated value in a point. - * - * @param nnhpi NN point hashing interpolator - * @param p Point to be interpolated (p->x, p->y -- input; p->z -- output) - */ -void nnhpi_interpolate(nnhpi* nnhpi, point* p) -{ - nnpi* nnpi = nnhpi->nnpi; - delaunay* d = nnpi->ds->d; - hashtable* ht_weights = nnhpi->ht_weights; - nn_weights* weights; - int i; - - if (ht_find(ht_weights, p) != NULL) { - weights = ht_find(ht_weights, p); - if (nn_verbose) - fprintf(stderr, " \n"); - } else { - nnpi_calculate_weights(nnpi, p); - - weights = malloc(sizeof(nn_weights)); - weights->vertices = malloc(sizeof(int) * nnpi->nvertices); - weights->weights = malloc(sizeof(double) * nnpi->nvertices); - - weights->nvertices = nnpi->nvertices; - - for (i = 0; i < nnpi->nvertices; ++i) { - weights->vertices[i] = nnpi->vertices[i]; - weights->weights[i] = nnpi->weights[i]; - } - - ht_insert(ht_weights, p, weights); - - if (nn_verbose) { - if (nn_test_vertice == -1) { - if (nnpi->n == 0) - fprintf(stderr, "weights:\n"); - fprintf(stderr, " %d: {", nnpi->n); - - for (i = 0; i < nnpi->nvertices; ++i) { - fprintf(stderr, "(%d,%.5g)", nnpi->vertices[i], nnpi->weights[i]); - - if (i < nnpi->nvertices - 1) - fprintf(stderr, ", "); - } - fprintf(stderr, "}\n"); - } else { - double w = 0.0; - - if (nnpi->n == 0) - fprintf(stderr, "weights for vertex %d:\n", nn_test_vertice); - for (i = 0; i < nnpi->nvertices; ++i) { - if (nnpi->vertices[i] == nn_test_vertice) { - w = nnpi->weights[i]; - - break; - } - } - fprintf(stderr, "%15.7g %15.7g %15.7g\n", p->x, p->y, w); - } - } - - nnpi->n++; - } - - nnhpi->n++; - - if (weights->nvertices == 0) { - p->z = NaN; - return; - } - - p->z = 0.0; - for (i = 0; i < weights->nvertices; ++i) { - if (weights->weights[i] < nnpi->wmin) { - p->z = NaN; - return; - } - p->z += d->points[weights->vertices[i]].z * weights->weights[i]; - } -} - -void nnhpi_interpolate_get_weights(nnhpi* nnhpi, point* p, double* weight_out, int* neighbor_index, - int max_nneighbor, int point_index) -{ - nnpi* nnpi = nnhpi->nnpi; - //delaunay* d = nnpi->ds->d; - hashtable* ht_weights = nnhpi->ht_weights; - nn_weights* weights; - int i; - int count; - - if (ht_find(ht_weights, p) != NULL) { - weights = ht_find(ht_weights, p); - if (nn_verbose) - fprintf(stderr, " \n"); - } else { - nnpi_calculate_weights(nnpi, p); - - weights = malloc(sizeof(nn_weights)); - weights->vertices = malloc(sizeof(int) * nnpi->nvertices); - weights->weights = malloc(sizeof(double) * nnpi->nvertices); - - weights->nvertices = nnpi->nvertices; - - for (i = 0; i < nnpi->nvertices; ++i) { - weights->vertices[i] = nnpi->vertices[i]; - weights->weights[i] = nnpi->weights[i]; - } - - ht_insert(ht_weights, p, weights); - - if (nn_verbose) { - if (nn_test_vertice == -1) { - if (nnpi->n == 0) - fprintf(stderr, "weights:\n"); - fprintf(stderr, " %d: {", nnpi->n); - - for (i = 0; i < nnpi->nvertices; ++i) { - fprintf(stderr, "(%d,%.5g)", nnpi->vertices[i], nnpi->weights[i]); - - if (i < nnpi->nvertices - 1) - fprintf(stderr, ", "); - } - fprintf(stderr, "}\n"); - } else { - double w = 0.0; - - if (nnpi->n == 0) - fprintf(stderr, "weights for vertex %d:\n", nn_test_vertice); - for (i = 0; i < nnpi->nvertices; ++i) { - if (nnpi->vertices[i] == nn_test_vertice) { - w = nnpi->weights[i]; - - break; - } - } - fprintf(stderr, "%15.7g %15.7g %15.7g\n", p->x, p->y, w); - } - } - - nnpi->n++; - } - - nnhpi->n++; - - if (weights->nvertices == 0) { - //p->z = NaN; - return; - } - - //p->z = 0.0; - count = 0; - for (i = 0; i < weights->nvertices; ++i) { - if (count < weights->nvertices){ - if (weights->weights[i] < nnpi->wmin) { - //p->z = NaN; - return; - } - //p->z += d->points[weights->vertices[i]].z * weights->weights[i]; - weight_out[point_index * max_nneighbor + count] = weights->weights[i]; - neighbor_index[point_index * max_nneighbor + count] = weights->vertices[i]; - //printf("weights vertices: %d", weights->vertices[i]); - //printf("vertices: %d\n", neighbor_index[point_index * max_nneighbor + count]); - //printf("values: %f\n", d->points[weights->vertices[i]].z); - count++; - } else { - printf("neighour number exceed maximum!"); - fflush(stdout); - abort(); - exit(1); - } - } -} - - -int nnhpi_interpolate_output_marker(nnhpi* nnhpi, point* p) -{ - nnpi* nnpi = nnhpi->nnpi; - delaunay* d = nnpi->ds->d; - hashtable* ht_weights = nnhpi->ht_weights; - nn_weights* weights; - int i; - - if (ht_find(ht_weights, p) != NULL) { - weights = ht_find(ht_weights, p); - if (nn_verbose) - fprintf(stderr, " \n"); - } else { - nnpi_calculate_weights(nnpi, p); - - weights = malloc(sizeof(nn_weights)); - weights->vertices = malloc(sizeof(int) * nnpi->nvertices); - weights->weights = malloc(sizeof(double) * nnpi->nvertices); - - weights->nvertices = nnpi->nvertices; - - for (i = 0; i < nnpi->nvertices; ++i) { - weights->vertices[i] = nnpi->vertices[i]; - weights->weights[i] = nnpi->weights[i]; - } - - ht_insert(ht_weights, p, weights); - - if (nn_verbose) { - if (nn_test_vertice == -1) { - if (nnpi->n == 0) - fprintf(stderr, "weights:\n"); - fprintf(stderr, " %d: {", nnpi->n); - - for (i = 0; i < nnpi->nvertices; ++i) { - fprintf(stderr, "(%d,%.5g)", nnpi->vertices[i], nnpi->weights[i]); - - if (i < nnpi->nvertices - 1) - fprintf(stderr, ", "); - } - fprintf(stderr, "}\n"); - } else { - double w = 0.0; - - if (nnpi->n == 0) - fprintf(stderr, "weights for vertex %d:\n", nn_test_vertice); - for (i = 0; i < nnpi->nvertices; ++i) { - if (nnpi->vertices[i] == nn_test_vertice) { - w = nnpi->weights[i]; - - break; - } - } - fprintf(stderr, "%15.7g %15.7g %15.7g\n", p->x, p->y, w); - } - } - - nnpi->n++; - } - - nnhpi->n++; - - if (weights->nvertices == 0) { - p->z = NaN; - return -1; - } - - p->z = 0.0; - for (i = 0; i < weights->nvertices; ++i) { - if (weights->weights[i] >= 0.0){ - if (weights->weights[i] < nnpi->wmin) { - p->z = NaN; - return -1; - } - p->z += d->points[weights->vertices[i]].z * weights->weights[i]; - } else - { - return -1; - } - } - return 1; -} - - - -/* Modifies interpolated data. - * - * Finds point* pd in the underlying Delaunay triangulation such that - * pd->x = p->x and pd->y = p->y, and copies p->z to pd->z. Exits with error - * if the point is not found. - * - * @param nnhpi Natural Neighbours hashing point interpolator - * @param p New data - */ -void nnhpi_modify_data(nnhpi* nnhpi, point* p) -{ - point* orig = ht_find(nnhpi->ht_data, p); - - assert(orig != NULL); - orig->z = p->z; -} - -/* Sets minimal allowed weight for Natural Neighbours interpolation. - * - * For Sibson interpolation, setting wmin = 0 is equivalent to interpolating - * inside convex hall of the data only (returning NaNs otherwise). - * - * @param nn Natural Neighbours point hashing interpolator - * @param wmin Minimal allowed weight - */ -void nnhpi_setwmin(nnhpi* nn, double wmin) -{ - nn->nnpi->wmin = wmin; -} - -#if defined(NNPHI_TEST) - -#include - -#define NPOINTSIN 10000 -#define NMIN 10 -#define NX 101 -#define NXMIN 1 - -#define SQ(x) ((x) * (x)) - -static double franke(double x, double y) -{ - x *= 9.0; - y *= 9.0; - return 0.75 * exp((-SQ(x - 2.0) - SQ(y - 2.0)) / 4.0) - + 0.75 * exp(-SQ(x - 2.0) / 49.0 - (y - 2.0) / 10.0) - + 0.5 * exp((-SQ(x - 7.0) - SQ(y - 3.0)) / 4.0) - - 0.2 * exp(-SQ(x - 4.0) - SQ(y - 7.0)); -} - -static void usage() -{ - printf("Usage: nnhpi_test [-a] [-n ] [-v|-V]\n"); - printf("Options:\n"); - printf(" -a -- use non-Sibsonian interpolation rule\n"); - printf(" -n :\n"); - printf(" -- number of input points (default = 10000)\n"); - printf(" -- number of output points per side (default = 64)\n"); - printf(" -v -- verbose\n"); - printf(" -V -- very verbose\n"); - - exit(0); -} - -int main(int argc, char* argv[]) -{ - int nin = NPOINTSIN; - int nx = NX; - int nout = 0; - point* pin = NULL; - delaunay* d = NULL; - point* pout = NULL; - nnhpi* nn = NULL; - int cpi = -1; /* control point index */ - struct timeval tv0, tv1; - struct timezone tz; - int i; - - i = 1; - while (i < argc) { - switch (argv[i][1]) { - case 'a': - i++; - nn_rule = NON_SIBSONIAN; - break; - case 'n': - i++; - if (i >= argc) - nn_quit("no number of data points found after -n\n"); - nin = atoi(argv[i]); - i++; - if (i >= argc) - nn_quit("no number of ouput points per side found after -i\n"); - nx = atoi(argv[i]); - i++; - break; - case 'v': - i++; - nn_verbose = 1; - break; - case 'V': - i++; - nn_verbose = 2; - break; - default: - usage(); - break; - } - } - - if (nin < NMIN) - nin = NMIN; - if (nx < NXMIN) - nx = NXMIN; - - printf("\nTest of Natural Neighbours hashing point interpolator:\n\n"); - printf(" %d data points\n", nin); - printf(" %d output points\n", nx * nx); - - /* - * generate data - */ - printf(" generating data:\n"); - fflush(stdout); - pin = malloc(nin * sizeof(point)); - for (i = 0; i < nin; ++i) { - point* p = &pin[i]; - - p->x = (double) random() / RAND_MAX; - p->y = (double) random() / RAND_MAX; - p->z = franke(p->x, p->y); - if (nn_verbose) - printf(" (%f, %f, %f)\n", p->x, p->y, p->z); - } - - /* - * triangulate - */ - printf(" triangulating:\n"); - fflush(stdout); - d = delaunay_build(nin, pin, 0, NULL, 0, NULL); - - /* - * generate output points - */ - points_generate(-0.1, 1.1, -0.1, 1.1, nx, nx, &nout, &pout); - cpi = (nx / 2) * (nx + 1); - - gettimeofday(&tv0, &tz); - - /* - * create interpolator - */ - printf(" creating interpolator:\n"); - fflush(stdout); - nn = nnhpi_create(d, nout); - - fflush(stdout); - gettimeofday(&tv1, &tz); - { - long dt = 1000000 * (tv1.tv_sec - tv0.tv_sec) + tv1.tv_usec - tv0.tv_usec; - - printf(" interpolator creation time = %ld us (%.2f us / point)\n", dt, (double) dt / nout); - } - - /* - * interpolate - */ - printf(" interpolating:\n"); - fflush(stdout); - gettimeofday(&tv1, &tz); - for (i = 0; i < nout; ++i) { - point* p = &pout[i]; - - nnhpi_interpolate(nn, p); - if (nn_verbose) - printf(" (%f, %f, %f)\n", p->x, p->y, p->z); - } - - fflush(stdout); - gettimeofday(&tv0, &tz); - { - long dt = 1000000.0 * (tv0.tv_sec - tv1.tv_sec) + tv0.tv_usec - tv1.tv_usec; - - printf(" interpolation time = %ld us (%.2f us / point)\n", dt, (double) dt / nout); - } - - if (!nn_verbose) - printf(" control point: (%f, %f, %f) (expected z = %f)\n", pout[cpi].x, pout[cpi].y, pout[cpi].z, franke(pout[cpi].x, pout[cpi].y)); - - printf(" interpolating one more time:\n"); - fflush(stdout); - gettimeofday(&tv0, &tz); - for (i = 0; i < nout; ++i) { - point* p = &pout[i]; - - nnhpi_interpolate(nn, p); - if (nn_verbose) - printf(" (%f, %f, %f)\n", p->x, p->y, p->z); - } - - fflush(stdout); - gettimeofday(&tv1, &tz); - { - long dt = 1000000.0 * (tv1.tv_sec - tv0.tv_sec) + tv1.tv_usec - tv0.tv_usec; - - printf(" interpolation time = %ld us (%.2f us / point)\n", dt, (double) dt / nout); - } - - if (!nn_verbose) - printf(" control point: (%f, %f, %f) (expected z = %f)\n", pout[cpi].x, pout[cpi].y, pout[cpi].z, franke(pout[cpi].x, pout[cpi].y)); - - printf(" entering new data:\n"); - fflush(stdout); - for (i = 0; i < nin; ++i) { - point* p = &pin[i]; - - p->z = p->x * p->x - p->y * p->y; - nnhpi_modify_data(nn, p); - if (nn_verbose) - printf(" (%f, %f, %f)\n", p->x, p->y, p->z); - } - - printf(" interpolating:\n"); - fflush(stdout); - gettimeofday(&tv1, &tz); - for (i = 0; i < nout; ++i) { - point* p = &pout[i]; - - nnhpi_interpolate(nn, p); - if (nn_verbose) - printf(" (%f, %f, %f)\n", p->x, p->y, p->z); - } - - fflush(stdout); - gettimeofday(&tv0, &tz); - { - long dt = 1000000.0 * (tv0.tv_sec - tv1.tv_sec) + tv0.tv_usec - tv1.tv_usec; - - printf(" interpolation time = %ld us (%.2f us / point)\n", dt, (double) dt / nout); - } - - if (!nn_verbose) - printf(" control point: (%f, %f, %f) (expected z = %f)\n", pout[cpi].x, pout[cpi].y, pout[cpi].z, pout[cpi].x * pout[cpi].x - pout[cpi].y * pout[cpi].y); - - printf(" restoring data:\n"); - fflush(stdout); - for (i = 0; i < nin; ++i) { - point* p = &pin[i]; - - p->z = franke(p->x, p->y); - nnhpi_modify_data(nn, p); - if (nn_verbose) - printf(" (%f, %f, %f)\n", p->x, p->y, p->z); - } - - printf(" interpolating:\n"); - fflush(stdout); - gettimeofday(&tv0, &tz); - for (i = 0; i < nout; ++i) { - point* p = &pout[i]; - - nnhpi_interpolate(nn, p); - if (nn_verbose) - printf(" (%f, %f, %f)\n", p->x, p->y, p->z); - } - - fflush(stdout); - gettimeofday(&tv1, &tz); - { - long dt = 1000000.0 * (tv1.tv_sec - tv0.tv_sec) + tv1.tv_usec - tv0.tv_usec; - - printf(" interpolation time = %ld us (%.2f us / point)\n", dt, (double) dt / nout); - } - - if (!nn_verbose) - printf(" control point: (%f, %f, %f) (expected z = %f)\n", pout[cpi].x, pout[cpi].y, pout[cpi].z, franke(pout[cpi].x, pout[cpi].y)); - - printf(" hashtable stats:\n"); - fflush(stdout); - { - hashtable* ht = nn->ht_data; - - printf(" input points: %d entries, %d table elements, %d filled elements\n", ht_getnentries(ht), ht_getsize(ht), ht_getnfilled(ht)); - ht = nn->ht_weights; - printf(" weights: %d entries, %d table elements, %d filled elements\n", ht_getnentries(ht), ht_getsize(ht), ht_getnfilled(ht)); - } - printf("\n"); - - nnhpi_destroy(nn); - free(pout); - delaunay_destroy(d); - free(pin); - - return 0; -} - -#endif diff --git a/autoarray/util/nn/src/nn/nnpi.h b/autoarray/util/nn/src/nn/nnpi.h deleted file mode 100644 index 82c4100d0..000000000 --- a/autoarray/util/nn/src/nn/nnpi.h +++ /dev/null @@ -1,5 +0,0 @@ -void nnpi_calculate_weights(nnpi* nn, point* p); -int nnpi_get_nvertices(nnpi* nn); -int* nnpi_get_vertices(nnpi* nn); -double* nnpi_get_weights(nnpi* nn); -//int test_add(int a, int b); diff --git a/autoarray/util/nn/src/nn/preader.c b/autoarray/util/nn/src/nn/preader.c deleted file mode 100644 index f7d321761..000000000 --- a/autoarray/util/nn/src/nn/preader.c +++ /dev/null @@ -1,225 +0,0 @@ -/****************************************************************************** - * - * File: preader.c - * - * Created: 29/05/2006 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: Serial "reader" of the output point locations - * - * Description: The `reader' object enables the client code to "read" one - * output point at a time, either from a file or from a virtual - * nx x ny grid. As a result, using `reader' makes it possible - * to interpolate on a point-by-point basis, avoiding allocation - * of the whole output array in memory. - * - * Revisions: None - * - *****************************************************************************/ - -#include -#include -#include -#include -#include -#include -#include -#include "config.h" -#include "nan.h" -#include "nn.h" -#include "nncommon.h" -#include "preader.h" - -#define BUFSIZE 1024 - -typedef struct { - char* fname; - FILE* f; - int n; - point p; -} reader; - -typedef struct { - int nx; - int ny; - int nmax; - double stepx; - double stepy; - double x0; - int n; - point p; -} grid; - -struct preader { - grid* g; - reader* r; -}; - -static grid* grid_create(double xmin, double xmax, double ymin, double ymax, int nx, int ny, int j1, int j2) -{ - grid* g = NULL; - int i; - - if (nx < 1 || ny < 1) - return NULL; - - g = malloc(sizeof(grid)); - g->nx = nx; - g->ny = ny; - g->nmax = nx * ny; - - if (j1 < 0 || j2 < 0) - j1 = 0; - else - g->nmax = nx * (j2 - j1 + 1); - - g->stepx = (nx > 1) ? (xmax - xmin) / (nx - 1) : 0.0; - g->stepy = (ny > 1) ? (ymax - ymin) / (ny - 1) : 0.0; - g->x0 = (nx > 1) ? xmin : (xmin + xmax) / 2.0; - g->p.y = (ny > 1) ? ymin - g->stepy : (ymin + ymax) / 2.0; - for (i = 0; i < j1; ++i) - g->p.y += g->stepy; - g->n = 0; - - return g; -} - -static point* grid_getpoint(grid* g) -{ - if (g->n >= g->nmax) - return NULL; - - if (g->n % g->nx == 0) { - g->p.x = g->x0; - g->p.y += g->stepy; - } else - g->p.x += g->stepx; - - g->n++; - - return &g->p; -} - -static void grid_destroy(grid* g) -{ - free(g); -} - -static reader* reader_create(char* fname) -{ - reader* r = malloc(sizeof(reader)); - - r->fname = NULL; - r->f = NULL; - r->p.x = NaN; - r->p.y = NaN; - r->p.z = NaN; - r->n = 0; - - if (fname == NULL) { - r->fname = strdup("stdin"); - r->f = stdin; - } else { - if (strcmp(fname, "stdin") == 0 || strcmp(fname, "-") == 0) { - r->fname = strdup("stdin"); - r->f = stdin; - } else { - r->fname = strdup(fname); - r->f = fopen(fname, "r"); - if (r->f == NULL) - nn_quit("%s: %s\n", fname, strerror(errno)); - } - } - - return r; -} - -static point* reader_getpoint(reader* r) -{ - char buf[BUFSIZE]; - char seps[] = " ,;\t"; - char* token; - point* p = &r->p; - - if (r->f == NULL) - return NULL; - - while (1) { - if (fgets(buf, BUFSIZE, r->f) == NULL) { - if (r->f != stdin) - if (fclose(r->f) != 0) - nn_quit("%s: %s\n", r->fname, strerror(errno)); - r->f = NULL; - - return NULL; - } - - if (buf[0] == '#') - continue; - if ((token = strtok(buf, seps)) == NULL) - continue; - if (!str2double(token, &p->x)) - continue; - if ((token = strtok(NULL, seps)) == NULL) - continue; - if (!str2double(token, &p->y)) - continue; - r->n++; - - return p; - } -} - -static void reader_destroy(reader* r) -{ - if (r->f != stdin && r->f != NULL) - if (fclose(r->f) != 0) - nn_quit("%s: %s\n", r->fname, strerror(errno)); - free(r->fname); - free(r); -} - -preader* preader_create1(double xmin, double xmax, double ymin, double ymax, int nx, int ny, int j1, int j2) -{ - preader* pr = malloc(sizeof(preader)); - - pr->r = NULL; - pr->g = grid_create(xmin, xmax, ymin, ymax, nx, ny, j1, j2); - - return pr; -} - -preader* preader_create2(char* fname) -{ - preader* pr = malloc(sizeof(preader)); - - pr->g = NULL; - pr->r = reader_create(fname); - - return pr; -} - -int preader_istype1(preader* pr) -{ - return (pr->g != NULL); -} - -point* preader_getpoint(preader* pr) -{ - if (pr->g != NULL) - return grid_getpoint(pr->g); - else - return reader_getpoint(pr->r); -} - -void preader_destroy(preader* pr) -{ - if (pr->g != NULL) - grid_destroy(pr->g); - else - reader_destroy(pr->r); - - free(pr); -} diff --git a/autoarray/util/nn/src/nn/preader.h b/autoarray/util/nn/src/nn/preader.h deleted file mode 100644 index e2e24cf2c..000000000 --- a/autoarray/util/nn/src/nn/preader.h +++ /dev/null @@ -1,28 +0,0 @@ -/****************************************************************************** - * - * File: preader.h - * - * Created: 29/05/2006 - * - * Author: Pavel Sakov - * CSIRO Marine Research - * - * Purpose: A header file with preader.c - * - * Revisions: None - * - *****************************************************************************/ - -#if !defined(_PREADER_H) -#define _PREADER_H - -struct preader; -typedef struct preader preader; - -preader* preader_create1(double xmin, double xmax, double ymin, double ymax, int nx, int ny, int j1, int j2); -preader* preader_create2(char* fname); -point* preader_getpoint(preader* pr); -void preader_destroy(preader* pr); -int preader_istype1(preader* pr); - -#endif diff --git a/autoarray/util/nn/src/nn/sample.py b/autoarray/util/nn/src/nn/sample.py deleted file mode 100644 index 24c2e37c6..000000000 --- a/autoarray/util/nn/src/nn/sample.py +++ /dev/null @@ -1,94 +0,0 @@ -import ctypes -import os -import numpy as np -import time -import matplotlib.pyplot as plt - - -def xy_function(x, y): - - return x * x + 2 * y - x * y - - -np.random.seed(2) - -nin = 4000 -x = 10.0 * np.random.random(nin) -y = 10.0 * np.random.random(nin) -z = xy_function(x, y) - -nout_1d = int(5) -nout = nout_1d * nout_1d -xout_oneside = np.linspace(10.0, 20.0, nout_1d) -yout_oneside = np.linspace(10.0, 20.0, nout_1d) -xout_2d, yout_2d = np.meshgrid(xout_oneside, yout_oneside) -xout = xout_2d.ravel() -yout = yout_2d.ravel() - -max_nneighbor = 25 -weights_out = np.zeros(nout * max_nneighbor, dtype=np.double) -neighbor_index = np.zeros(nout * max_nneighbor, dtype=np.intc) - 1 - - -# x = np.array(x, dtype='float') -# y = np.array(y, dtype='float') - -_file = "libqiuhan.so" -_mod = ctypes.cdll.LoadLibrary("./" + _file) - -interpolate_from_input = _mod.interpolate_weights_from_input - -interpolate_from_input.argtypes = ( - ctypes.POINTER(ctypes.c_double), - ctypes.POINTER(ctypes.c_double), - ctypes.POINTER(ctypes.c_double), - ctypes.c_int, - ctypes.POINTER(ctypes.c_double), - ctypes.POINTER(ctypes.c_double), - ctypes.c_int, - ctypes.POINTER(ctypes.c_double), - ctypes.POINTER(ctypes.c_int), - ctypes.c_int, -) - -interpolate_from_input.restype = ctypes.c_int - -t1 = time.time() -answer = interpolate_from_input( - x.ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - y.ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - z.ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - ctypes.c_int(nin), - xout.ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - yout.ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - ctypes.c_int(nout), - weights_out.ctypes.data_as(ctypes.POINTER(ctypes.c_double)), - neighbor_index.ctypes.data_as(ctypes.POINTER(ctypes.c_int)), - ctypes.c_int(max_nneighbor), -) -t2 = time.time() -print("Time cost is {:.2f}".format(t2 - t1)) - - -print(weights_out) -print(neighbor_index[0]) - -weights_out_2d = weights_out.reshape((nout, max_nneighbor)) -neighbor_index_2d = neighbor_index.reshape((nout, max_nneighbor)) - -print("answer from python: {}".format(answer)) - -ind = 1165 -print("Point Value {} {}".format(ind, z[ind])) - - -ind = 228 -print("Point Value {} {}".format(ind, z[ind])) - -print(neighbor_index_2d) -print(weights_out_2d) - - -# plt.imshow(zout.reshape((nout_1d, nout_1d))) -# plt.colorbar() -# plt.show() diff --git a/autoarray/util/nn/src/nn/triangle.c b/autoarray/util/nn/src/nn/triangle.c deleted file mode 100644 index cbf98907a..000000000 --- a/autoarray/util/nn/src/nn/triangle.c +++ /dev/null @@ -1,15930 +0,0 @@ -/*****************************************************************************/ -/* */ -/* 888888888 ,o, / 888 */ -/* 888 88o88o " o8888o 88o8888o o88888o 888 o88888o */ -/* 888 888 888 88b 888 888 888 888 888 d888 88b */ -/* 888 888 888 o88^o888 888 888 "88888" 888 8888oo888 */ -/* 888 888 888 C888 888 888 888 / 888 q888 */ -/* 888 888 888 "88o^888 888 888 Cb 888 "88oooo" */ -/* "8oo8D */ -/* */ -/* A Two-Dimensional Quality Mesh Generator and Delaunay Triangulator. */ -/* (triangle.c) */ -/* */ -/* Version 1.4 */ -/* November 1, 2002 */ -/* */ -/* Copyright 1993, 1995, 1997, 1998, 2002 */ -/* Jonathan Richard Shewchuk */ -/* 2360 Woolsey #H */ -/* Berkeley, California 94705-1927 */ -/* jrs@cs.berkeley.edu */ -/* */ -/* This program may be freely redistributed under the condition that the */ -/* copyright notices (including this entire header and the copyright */ -/* notice printed when the `-h' switch is selected) are not removed, and */ -/* no compensation is received. Private, research, and institutional */ -/* use is free. You may distribute modified versions of this code UNDER */ -/* THE CONDITION THAT THIS CODE AND ANY MODIFICATIONS MADE TO IT IN THE */ -/* SAME FILE REMAIN UNDER COPYRIGHT OF THE ORIGINAL AUTHOR, BOTH SOURCE */ -/* AND OBJECT CODE ARE MADE FREELY AVAILABLE WITHOUT CHARGE, AND CLEAR */ -/* NOTICE IS GIVEN OF THE MODIFICATIONS. Distribution of this code as */ -/* part of a commercial system is permissible ONLY BY DIRECT ARRANGEMENT */ -/* WITH THE AUTHOR. (If you are not directly supplying this code to a */ -/* customer, and you are instead telling them how they can obtain it for */ -/* free, then you are not required to make any arrangement with me.) */ -/* */ -/* Hypertext instructions for Triangle are available on the Web at */ -/* */ -/* http://www.cs.cmu.edu/~quake/triangle.html */ -/* */ -/* Some of the references listed below are marked with an asterisk. [*] */ -/* These references are available for downloading from the Web page */ -/* */ -/* http://www.cs.cmu.edu/~quake/triangle.research.html */ -/* */ -/* Three papers discussing aspects of Triangle are available. A short */ -/* overview appears in "Triangle: Engineering a 2D Quality Mesh */ -/* Generator and Delaunay Triangulator," in Applied Computational */ -/* Geometry: Towards Geometric Engineering, Ming C. Lin and Dinesh */ -/* Manocha, editors, Lecture Notes in Computer Science volume 1148, */ -/* pages 203-222, Springer-Verlag, Berlin, May 1996 (from the First ACM */ -/* Workshop on Applied Computational Geometry). [*] */ -/* */ -/* The algorithms are discussed in the greatest detail in "Delaunay */ -/* Refinement Algorithms for Triangular Mesh Generation," Computational */ -/* Geometry: Theory and Applications 22(1-3):21-74, May 2002. [*] */ -/* */ -/* More detail about the data structures may be found in my dissertation: */ -/* "Delaunay Refinement Mesh Generation," Ph.D. thesis, Technical Report */ -/* CMU-CS-97-137, School of Computer Science, Carnegie Mellon University, */ -/* Pittsburgh, Pennsylvania, 18 May 1997. [*] */ -/* */ -/* Triangle was created as part of the Archimedes project in the School of */ -/* Computer Science at Carnegie Mellon University. Archimedes is a */ -/* system for compiling parallel finite element solvers. For further */ -/* information, see Hesheng Bao, Jacobo Bielak, Omar Ghattas, Loukas F. */ -/* Kallivokas, David R. O'Hallaron, Jonathan R. Shewchuk, and Jifeng Xu, */ -/* "Large-scale Simulation of Elastic Wave Propagation in Heterogeneous */ -/* Media on Parallel Computers," Computer Methods in Applied Mechanics */ -/* and Engineering 152(1-2):85-102, 22 January 1998. */ -/* */ -/* Triangle's Delaunay refinement algorithm for quality mesh generation is */ -/* a hybrid of one due to Jim Ruppert, "A Delaunay Refinement Algorithm */ -/* for Quality 2-Dimensional Mesh Generation," Journal of Algorithms */ -/* 18(3):548-585, May 1995 [*], and one due to L. Paul Chew, "Guaranteed- */ -/* Quality Mesh Generation for Curved Surfaces," Proceedings of the Ninth */ -/* Annual Symposium on Computational Geometry (San Diego, California), */ -/* pages 274-280, Association for Computing Machinery, May 1993. */ -/* */ -/* The Delaunay refinement algorithm has been modified so that it */ -/* consistently meshes domains with small input angles, as described in */ -/* my lengthy journal article listed above, or in abbreviated form in */ -/* Jonathan Richard Shewchuk, "Mesh Generation for Domains with Small */ -/* Angles," Proceedings of the Sixteenth Annual Symposium on */ -/* Computational Geometry (Hong Kong), pages 1-10, Association for */ -/* Computing Machinery, June 2000. [*] */ -/* */ -/* My implementation of the divide-and-conquer and incremental Delaunay */ -/* triangulation algorithms follows closely the presentation of Guibas */ -/* and Stolfi, even though I use a triangle-based data structure instead */ -/* of their quad-edge data structure. (In fact, I originally implemented */ -/* Triangle using the quad-edge data structure, but the switch to a */ -/* triangle-based data structure sped Triangle by a factor of two.) The */ -/* mesh manipulation primitives and the two aforementioned Delaunay */ -/* triangulation algorithms are described by Leonidas J. Guibas and Jorge */ -/* Stolfi, "Primitives for the Manipulation of General Subdivisions and */ -/* the Computation of Voronoi Diagrams," ACM Transactions on Graphics */ -/* 4(2):74-123, April 1985. */ -/* */ -/* Their O(n log n) divide-and-conquer algorithm is adapted from Der-Tsai */ -/* Lee and Bruce J. Schachter, "Two Algorithms for Constructing the */ -/* Delaunay Triangulation," International Journal of Computer and */ -/* Information Science 9(3):219-242, 1980. Triangle's improvement of the */ -/* divide-and-conquer algorithm by alternating between vertical and */ -/* horizontal cuts was introduced by Rex A. Dwyer, "A Faster Divide-and- */ -/* Conquer Algorithm for Constructing Delaunay Triangulations," */ -/* Algorithmica 2(2):137-151, 1987. */ -/* */ -/* The incremental insertion algorithm was first proposed by C. L. Lawson, */ -/* "Software for C1 Surface Interpolation," in Mathematical Software III, */ -/* John R. Rice, editor, Academic Press, New York, pp. 161-194, 1977. */ -/* For point location, I use the algorithm of Ernst P. Mucke, Isaac */ -/* Saias, and Binhai Zhu, "Fast Randomized Point Location Without */ -/* Preprocessing in Two- and Three-Dimensional Delaunay Triangulations," */ -/* Proceedings of the Twelfth Annual Symposium on Computational Geometry, */ -/* ACM, May 1996. [*] If I were to randomize the order of vertex */ -/* insertion (I currently don't bother), their result combined with the */ -/* result of Kenneth L. Clarkson and Peter W. Shor, "Applications of */ -/* Random Sampling in Computational Geometry II," Discrete & */ -/* Computational Geometry 4(1):387-421, 1989, would yield an expected */ -/* O(n^{4/3}) bound on running time. */ -/* */ -/* The O(n log n) sweepline Delaunay triangulation algorithm is taken from */ -/* Steven Fortune, "A Sweepline Algorithm for Voronoi Diagrams", */ -/* Algorithmica 2(2):153-174, 1987. A random sample of edges on the */ -/* boundary of the triangulation are maintained in a splay tree for the */ -/* purpose of point location. Splay trees are described by Daniel */ -/* Dominic Sleator and Robert Endre Tarjan, "Self-Adjusting Binary Search */ -/* Trees," Journal of the ACM 32(3):652-686, July 1985. */ -/* */ -/* The algorithms for exact computation of the signs of determinants are */ -/* described in Jonathan Richard Shewchuk, "Adaptive Precision Floating- */ -/* Point Arithmetic and Fast Robust Geometric Predicates," Discrete & */ -/* Computational Geometry 18(3):305-363, October 1997. (Also available */ -/* as Technical Report CMU-CS-96-140, School of Computer Science, */ -/* Carnegie Mellon University, Pittsburgh, Pennsylvania, May 1996.) [*] */ -/* An abbreviated version appears as Jonathan Richard Shewchuk, "Robust */ -/* Adaptive Floating-Point Geometric Predicates," Proceedings of the */ -/* Twelfth Annual Symposium on Computational Geometry, ACM, May 1996. [*] */ -/* Many of the ideas for my exact arithmetic routines originate with */ -/* Douglas M. Priest, "Algorithms for Arbitrary Precision Floating Point */ -/* Arithmetic," Tenth Symposium on Computer Arithmetic, pp. 132-143, IEEE */ -/* Computer Society Press, 1991. [*] Many of the ideas for the correct */ -/* evaluation of the signs of determinants are taken from Steven Fortune */ -/* and Christopher J. Van Wyk, "Efficient Exact Arithmetic for Computa- */ -/* tional Geometry," Proceedings of the Ninth Annual Symposium on */ -/* Computational Geometry, ACM, pp. 163-172, May 1993, and from Steven */ -/* Fortune, "Numerical Stability of Algorithms for 2D Delaunay Triangu- */ -/* lations," International Journal of Computational Geometry & Applica- */ -/* tions 5(1-2):193-213, March-June 1995. */ -/* */ -/* For definitions of and results involving Delaunay triangulations, */ -/* constrained and conforming versions thereof, and other aspects of */ -/* triangular mesh generation, see the excellent survey by Marshall Bern */ -/* and David Eppstein, "Mesh Generation and Optimal Triangulation," in */ -/* Computing and Euclidean Geometry, Ding-Zhu Du and Frank Hwang, */ -/* editors, World Scientific, Singapore, pp. 23-90, 1992. [*] */ -/* */ -/* The time for incrementally adding PSLG (planar straight line graph) */ -/* segments to create a constrained Delaunay triangulation is probably */ -/* O(t^2) per segment in the worst case and O(t) per segment in the */ -/* common case, where t is the number of triangles that intersect the */ -/* segment before it is inserted. This doesn't count point location, */ -/* which can be much more expensive. I could improve this to O(d log d) */ -/* time, but d is usually quite small, so it's not worth the bother. */ -/* (This note does not apply to conforming Delaunay triangulations, for */ -/* which a different method is used to insert segments.) */ -/* */ -/* The time for adding segments to a conforming Delaunay triangulation is */ -/* not clear, but does not depend upon t alone. In some cases, very */ -/* small features (like a vertex lying next to a segment) can cause a */ -/* single segment to be split an arbitrary number of times. Of course, */ -/* floating-point precision is a practical barrier to how much this can */ -/* happen. */ -/* */ -/* The time for deleting a vertex from a Delaunay triangulation is O(d^2) */ -/* in the worst case and O(d) in the common case, where d is the degree */ -/* of the vertex being deleted. I could improve this to O(d log d) time, */ -/* but d is usually quite small, so it's not worth the bother. */ -/* */ -/* Ruppert's Delaunay refinement algorithm typically generates triangles */ -/* at a linear rate (constant time per triangle) after the initial */ -/* triangulation is formed. There may be pathological cases where */ -/* quadratic time is required, but these never arise in practice. */ -/* */ -/* The geometric predicates (circumcenter calculations, segment */ -/* intersection formulae, etc.) appear in my "Lecture Notes on Geometric */ -/* Robustness" at http://www.cs.berkeley.edu/~jrs/mesh.html . */ -/* */ -/* If you make any improvements to this code, please please please let me */ -/* know, so that I may obtain the improvements. Even if you don't change */ -/* the code, I'd still love to hear what it's being used for. */ -/* */ -/* Disclaimer: Neither I nor Carnegie Mellon warrant this code in any way */ -/* whatsoever. This code is provided "as-is". Use at your own risk. */ -/* */ -/*****************************************************************************/ - -/* For single precision (which will save some memory and reduce paging), */ -/* define the symbol SINGLE by using the -DSINGLE compiler switch or by */ -/* writing "#define SINGLE" below. */ -/* */ -/* For double precision (which will allow you to refine meshes to a smaller */ -/* edge length), leave SINGLE undefined. */ -/* */ -/* Double precision uses more memory, but improves the resolution of the */ -/* meshes you can generate with Triangle. It also reduces the likelihood */ -/* of a floating exception due to overflow. Finally, it is much faster */ -/* than single precision on 64-bit architectures like the DEC Alpha. I */ -/* recommend double precision unless you want to generate a mesh for which */ -/* you do not have enough memory. */ - -/* #define SINGLE */ - -#ifdef SINGLE -#define REAL float -#else /* not SINGLE */ -#define REAL double -#endif /* not SINGLE */ - -/* If yours is not a Unix system, define the NO_TIMER compiler switch to */ -/* remove the Unix-specific timing code. */ - -/* #define NO_TIMER */ - -/* To insert lots of self-checks for internal errors, define the SELF_CHECK */ -/* symbol. This will slow down the program significantly. It is best to */ -/* define the symbol using the -DSELF_CHECK compiler switch, but you could */ -/* write "#define SELF_CHECK" below. If you are modifying this code, I */ -/* recommend you turn self-checks on until your work is debugged. */ - -/* #define SELF_CHECK */ - -/* To compile Triangle as a callable object library (triangle.o), define the */ -/* TRILIBRARY symbol. Read the file triangle.h for details on how to call */ -/* the procedure triangulate() that results. */ - -/* #define TRILIBRARY */ - -/* It is possible to generate a smaller version of Triangle using one or */ -/* both of the following symbols. Define the REDUCED symbol to eliminate */ -/* all features that are primarily of research interest; specifically, the */ -/* -i, -F, -s, and -C switches. Define the CDT_ONLY symbol to eliminate */ -/* all meshing algorithms above and beyond constrained Delaunay */ -/* triangulation; specifically, the -r, -q, -a, -S, and -s switches. */ -/* These reductions are most likely to be useful when generating an object */ -/* library (triangle.o) by defining the TRILIBRARY symbol. */ - -/* #define REDUCED */ -/* #define CDT_ONLY */ - -/* On some machines, my exact arithmetic routines might be defeated by the */ -/* use of internal extended precision floating-point registers. The best */ -/* way to solve this problem is to set the floating-point registers to use */ -/* single or double precision internally. On 80x86 processors, this may */ -/* be accomplished by setting the CPU86 symbol for the Microsoft C */ -/* compiler, or the LINUX symbol for the gcc compiler running on Linux. */ -/* */ -/* An inferior solution is to declare certain values as `volatile', thus */ -/* forcing them to be stored to memory and rounded off. Unfortunately, */ -/* this solution might slow Triangle down quite a bit. To use volatile */ -/* values, write "#define INEXACT volatile" below. Normally, however, */ -/* INEXACT should be defined to be nothing. ("#define INEXACT".) */ -/* */ -/* For more discussion, see http://www.cs.cmu.edu/~quake/robust.pc.html . */ -/* For yet more discussion, see Section 5 of my paper, "Adaptive Precision */ -/* Floating-Point Arithmetic and Fast Robust Geometric Predicates" (also */ -/* available as Section 6.6 of my dissertation). */ - -/* #define CPU86 */ -/* #define LINUX */ - -#define INEXACT /* Nothing */ -/* #define INEXACT volatile */ - -/* Maximum number of characters in a file name (including the null). */ - -#define FILENAMESIZE 512 - -/* Maximum number of characters in a line read from a file (including the */ -/* null). */ - -#define INPUTLINESIZE 512 - -/* For efficiency, a variety of data structures are allocated in bulk. The */ -/* following constants determine how many of each structure is allocated */ -/* at once. */ - -#define TRIPERBLOCK 4092 /* Number of triangles allocated at once. */ -#define SUBSEGPERBLOCK 508 /* Number of subsegments allocated at once. */ -#define VERTEXPERBLOCK 4092 /* Number of vertices allocated at once. */ -#define VIRUSPERBLOCK 1020 /* Number of virus triangles allocated at once. */ -/* Number of encroached subsegments allocated at once. */ -#define BADSUBSEGPERBLOCK 252 -/* Number of skinny triangles allocated at once. */ -#define BADTRIPERBLOCK 4092 -/* Number of flipped triangles allocated at once. */ -#define FLIPSTACKERPERBLOCK 252 -/* Number of splay tree nodes allocated at once. */ -#define SPLAYNODEPERBLOCK 508 - -/* The vertex types. A DEADVERTEX has been deleted entirely. An */ -/* UNDEADVERTEX is not part of the mesh, but is written to the output */ -/* .node file and affects the node indexing in the other output files. */ - -#define INPUTVERTEX 0 -#define SEGMENTVERTEX 1 -#define FREEVERTEX 2 -#define DEADVERTEX -32768 -#define UNDEADVERTEX -32767 - -/* The next line is used to outsmart some very stupid compilers. If your */ -/* compiler is smarter, feel free to replace the "int" with "void". */ -/* Not that it matters. */ - -#define VOID int - -/* Two constants for algorithms based on random sampling. Both constants */ -/* have been chosen empirically to optimize their respective algorithms. */ - -/* Used for the point location scheme of Mucke, Saias, and Zhu, to decide */ -/* how large a random sample of triangles to inspect. */ - -#define SAMPLEFACTOR 11 - -/* Used in Fortune's sweepline Delaunay algorithm to determine what fraction */ -/* of boundary edges should be maintained in the splay tree for point */ -/* location on the front. */ - -#define SAMPLERATE 10 - -/* A number that speaks for itself, every kissable digit. */ - -#define PI 3.141592653589793238462643383279502884197169399375105820974944592308 - -/* Another fave. */ - -#define SQUAREROOTTWO 1.4142135623730950488016887242096980785696718753769480732 - -/* And here's one for those of you who are intimidated by math. */ - -#define ONETHIRD 0.333333333333333333333333333333333333333333333333333333333333 - -#include -#include -#include -#include -#include "config.h" -#ifndef NO_TIMER -#include -#endif /* not NO_TIMER */ -#ifdef CPU86 -#include -#endif /* CPU86 */ -#ifdef LINUX -#include -#endif /* LINUX */ -#ifdef TRILIBRARY -#include "triangle.h" -#endif /* TRILIBRARY */ - -/* A few forward declarations. */ - -#ifndef TRILIBRARY -char *readline(); -char *findfield(); -#endif /* not TRILIBRARY */ - -/* Labels that signify whether a record consists primarily of pointers or of */ -/* floating-point words. Used to make decisions about data alignment. */ - -enum wordtype {POINTER, FLOATINGPOINT}; - -/* Labels that signify the result of point location. The result of a */ -/* search indicates that the point falls in the interior of a triangle, on */ -/* an edge, on a vertex, or outside the mesh. */ - -enum locateresult {INTRIANGLE, ONEDGE, ONVERTEX, OUTSIDE}; - -/* Labels that signify the result of vertex insertion. The result indicates */ -/* that the vertex was inserted with complete success, was inserted but */ -/* encroaches upon a subsegment, was not inserted because it lies on a */ -/* segment, or was not inserted because another vertex occupies the same */ -/* location. */ - -enum insertvertexresult {SUCCESSFULVERTEX, ENCROACHINGVERTEX, VIOLATINGVERTEX, - DUPLICATEVERTEX}; - -/* Labels that signify the result of direction finding. The result */ -/* indicates that a segment connecting the two query points falls within */ -/* the direction triangle, along the left edge of the direction triangle, */ -/* or along the right edge of the direction triangle. */ - -enum finddirectionresult {WITHIN, LEFTCOLLINEAR, RIGHTCOLLINEAR}; - -/*****************************************************************************/ -/* */ -/* The basic mesh data structures */ -/* */ -/* There are three: vertices, triangles, and subsegments (abbreviated */ -/* `subseg'). These three data structures, linked by pointers, comprise */ -/* the mesh. A vertex simply represents a mesh vertex and its properties. */ -/* A triangle is a triangle. A subsegment is a special data structure used */ -/* to represent an impenetrable edge of the mesh (perhaps on the outer */ -/* boundary, on the boundary of a hole, or part of an internal boundary */ -/* separating two triangulated regions). Subsegments represent boundaries, */ -/* defined by the user, that triangles may not lie across. */ -/* */ -/* A triangle consists of a list of three vertices, a list of three */ -/* adjoining triangles, a list of three adjoining subsegments (when */ -/* segments exist), an arbitrary number of optional user-defined */ -/* floating-point attributes, and an optional area constraint. The latter */ -/* is an upper bound on the permissible area of each triangle in a region, */ -/* used for mesh refinement. */ -/* */ -/* For a triangle on a boundary of the mesh, some or all of the neighboring */ -/* triangles may not be present. For a triangle in the interior of the */ -/* mesh, often no neighboring subsegments are present. Such absent */ -/* triangles and subsegments are never represented by NULL pointers; they */ -/* are represented by two special records: `dummytri', the triangle that */ -/* fills "outer space", and `dummysub', the omnipresent subsegment. */ -/* `dummytri' and `dummysub' are used for several reasons; for instance, */ -/* they can be dereferenced and their contents examined without violating */ -/* protected memory. */ -/* */ -/* However, it is important to understand that a triangle includes other */ -/* information as well. The pointers to adjoining vertices, triangles, and */ -/* subsegments are ordered in a way that indicates their geometric relation */ -/* to each other. Furthermore, each of these pointers contains orientation */ -/* information. Each pointer to an adjoining triangle indicates which face */ -/* of that triangle is contacted. Similarly, each pointer to an adjoining */ -/* subsegment indicates which side of that subsegment is contacted, and how */ -/* the subsegment is oriented relative to the triangle. */ -/* */ -/* The data structure representing a subsegment may be thought to be */ -/* abutting the edge of one or two triangle data structures: either */ -/* sandwiched between two triangles, or resting against one triangle on an */ -/* exterior boundary or hole boundary. */ -/* */ -/* A subsegment consists of a list of two vertices, a list of two */ -/* adjoining subsegments, and a list of two adjoining triangles. One of */ -/* the two adjoining triangles may not be present (though there should */ -/* always be one), and neighboring subsegments might not be present. */ -/* Subsegments also store a user-defined integer "boundary marker". */ -/* Typically, this integer is used to indicate what boundary conditions are */ -/* to be applied at that location in a finite element simulation. */ -/* */ -/* Like triangles, subsegments maintain information about the relative */ -/* orientation of neighboring objects. */ -/* */ -/* Vertices are relatively simple. A vertex is a list of floating-point */ -/* numbers, starting with the x, and y coordinates, followed by an */ -/* arbitrary number of optional user-defined floating-point attributes, */ -/* followed by an integer boundary marker. During the segment insertion */ -/* phase, there is also a pointer from each vertex to a triangle that may */ -/* contain it. Each pointer is not always correct, but when one is, it */ -/* speeds up segment insertion. These pointers are assigned values once */ -/* at the beginning of the segment insertion phase, and are not used or */ -/* updated except during this phase. Edge flipping during segment */ -/* insertion will render some of them incorrect. Hence, don't rely upon */ -/* them for anything. */ -/* */ -/* Other than the exception mentioned above, vertices have no information */ -/* about what triangles, subfacets, or subsegments they are linked to. */ -/* */ -/*****************************************************************************/ - -/*****************************************************************************/ -/* */ -/* Handles */ -/* */ -/* The oriented triangle (`otri') and oriented subsegment (`osub') data */ -/* structures defined below do not themselves store any part of the mesh. */ -/* The mesh itself is made of `triangle's, `subseg's, and `vertex's. */ -/* */ -/* Oriented triangles and oriented subsegments will usually be referred to */ -/* as "handles." A handle is essentially a pointer into the mesh; it */ -/* allows you to "hold" one particular part of the mesh. Handles are used */ -/* to specify the regions in which one is traversing and modifying the mesh.*/ -/* A single `triangle' may be held by many handles, or none at all. (The */ -/* latter case is not a memory leak, because the triangle is still */ -/* connected to other triangles in the mesh.) */ -/* */ -/* An `otri' is a handle that holds a triangle. It holds a specific edge */ -/* of the triangle. An `osub' is a handle that holds a subsegment. It */ -/* holds either the left or right side of the subsegment. */ -/* */ -/* Navigation about the mesh is accomplished through a set of mesh */ -/* manipulation primitives, further below. Many of these primitives take */ -/* a handle and produce a new handle that holds the mesh near the first */ -/* handle. Other primitives take two handles and glue the corresponding */ -/* parts of the mesh together. The orientation of the handles is */ -/* important. For instance, when two triangles are glued together by the */ -/* bond() primitive, they are glued at the edges on which the handles lie. */ -/* */ -/* Because vertices have no information about which triangles they are */ -/* attached to, I commonly represent a vertex by use of a handle whose */ -/* origin is the vertex. A single handle can simultaneously represent a */ -/* triangle, an edge, and a vertex. */ -/* */ -/*****************************************************************************/ - -/* The triangle data structure. Each triangle contains three pointers to */ -/* adjoining triangles, plus three pointers to vertices, plus three */ -/* pointers to subsegments (declared below; these pointers are usually */ -/* `dummysub'). It may or may not also contain user-defined attributes */ -/* and/or a floating-point "area constraint." It may also contain extra */ -/* pointers for nodes, when the user asks for high-order elements. */ -/* Because the size and structure of a `triangle' is not decided until */ -/* runtime, I haven't simply declared the type `triangle' as a struct. */ - -typedef REAL **triangle; /* Really: typedef triangle *triangle */ - -/* An oriented triangle: includes a pointer to a triangle and orientation. */ -/* The orientation denotes an edge of the triangle. Hence, there are */ -/* three possible orientations. By convention, each edge always points */ -/* counterclockwise about the corresponding triangle. */ - -struct otri { - triangle *tri; - int orient; /* Ranges from 0 to 2. */ -}; - -/* The subsegment data structure. Each subsegment contains two pointers to */ -/* adjoining subsegments, plus two pointers to vertices, plus two pointers */ -/* to adjoining triangles, plus one boundary marker. */ - -typedef REAL **subseg; /* Really: typedef subseg *subseg */ - -/* An oriented subsegment: includes a pointer to a subsegment and an */ -/* orientation. The orientation denotes a side of the edge. Hence, there */ -/* are two possible orientations. By convention, the edge is always */ -/* directed so that the "side" denoted is the right side of the edge. */ - -struct osub { - subseg *ss; - int ssorient; /* Ranges from 0 to 1. */ -}; - -/* The vertex data structure. Each vertex is actually an array of REALs. */ -/* The number of REALs is unknown until runtime. An integer boundary */ -/* marker, and sometimes a pointer to a triangle, is appended after the */ -/* REALs. */ - -typedef REAL *vertex; - -/* A queue used to store encroached subsegments. Each subsegment's vertices */ -/* are stored so that we can check whether a subsegment is still the same. */ - -struct badsubseg { - subseg encsubseg; /* An encroached subsegment. */ - vertex subsegorg, subsegdest; /* Its two vertices. */ -}; - -/* A queue used to store bad triangles. The key is the square of the cosine */ -/* of the smallest angle of the triangle. Each triangle's vertices are */ -/* stored so that one can check whether a triangle is still the same. */ - -struct badtriang { - triangle poortri; /* A skinny or too-large triangle. */ - REAL key; /* cos^2 of smallest (apical) angle. */ - vertex triangorg, triangdest, triangapex; /* Its three vertices. */ - struct badtriang *nexttriang; /* Pointer to next bad triangle. */ -}; - -/* A stack of triangles flipped during the most recent vertex insertion. */ -/* The stack is used to undo the vertex insertion if the vertex encroaches */ -/* upon a subsegment. */ - -struct flipstacker { - triangle flippedtri; /* A recently flipped triangle. */ - struct flipstacker *prevflip; /* Previous flip in the stack. */ -}; - -/* A node in a heap used to store events for the sweepline Delaunay */ -/* algorithm. Nodes do not point directly to their parents or children in */ -/* the heap. Instead, each node knows its position in the heap, and can */ -/* look up its parent and children in a separate array. The `eventptr' */ -/* points either to a `vertex' or to a triangle (in encoded format, so */ -/* that an orientation is included). In the latter case, the origin of */ -/* the oriented triangle is the apex of a "circle event" of the sweepline */ -/* algorithm. To distinguish site events from circle events, all circle */ -/* events are given an invalid (smaller than `xmin') x-coordinate `xkey'. */ - -struct event { - REAL xkey, ykey; /* Coordinates of the event. */ - VOID *eventptr; /* Can be a vertex or the location of a circle event. */ - int heapposition; /* Marks this event's position in the heap. */ -}; - -/* A node in the splay tree. Each node holds an oriented ghost triangle */ -/* that represents a boundary edge of the growing triangulation. When a */ -/* circle event covers two boundary edges with a triangle, so that they */ -/* are no longer boundary edges, those edges are not immediately deleted */ -/* from the tree; rather, they are lazily deleted when they are next */ -/* encountered. (Since only a random sample of boundary edges are kept */ -/* in the tree, lazy deletion is faster.) `keydest' is used to verify */ -/* that a triangle is still the same as when it entered the splay tree; if */ -/* it has been rotated (due to a circle event), it no longer represents a */ -/* boundary edge and should be deleted. */ - -struct splaynode { - struct otri keyedge; /* Lprev of an edge on the front. */ - vertex keydest; /* Used to verify that splay node is still live. */ - struct splaynode *lchild, *rchild; /* Children in splay tree. */ -}; - -/* A type used to allocate memory. firstblock is the first block of items. */ -/* nowblock is the block from which items are currently being allocated. */ -/* nextitem points to the next slab of free memory for an item. */ -/* deaditemstack is the head of a linked list (stack) of deallocated items */ -/* that can be recycled. unallocateditems is the number of items that */ -/* remain to be allocated from nowblock. */ -/* */ -/* Traversal is the process of walking through the entire list of items, and */ -/* is separate from allocation. Note that a traversal will visit items on */ -/* the "deaditemstack" stack as well as live items. pathblock points to */ -/* the block currently being traversed. pathitem points to the next item */ -/* to be traversed. pathitemsleft is the number of items that remain to */ -/* be traversed in pathblock. */ -/* */ -/* itemwordtype is set to POINTER or FLOATINGPOINT, and is used to suggest */ -/* what sort of word the record is primarily made up of. alignbytes */ -/* determines how new records should be aligned in memory. itembytes and */ -/* itemwords are the length of a record in bytes (after rounding up) and */ -/* words. itemsperblock is the number of items allocated at once in a */ -/* single block. items is the number of currently allocated items. */ -/* maxitems is the maximum number of items that have been allocated at */ -/* once; it is the current number of items plus the number of records kept */ -/* on deaditemstack. */ - -struct memorypool { - VOID **firstblock, **nowblock; - VOID *nextitem; - VOID *deaditemstack; - VOID **pathblock; - VOID *pathitem; - enum wordtype itemwordtype; - int alignbytes; - int itembytes, itemwords; - int itemsperblock; - long items, maxitems; - int unallocateditems; - int pathitemsleft; -}; - - -/* Global constants. */ - -REAL splitter; /* Used to split REAL factors for exact multiplication. */ -REAL epsilon; /* Floating-point machine epsilon. */ -REAL resulterrbound; -REAL ccwerrboundA, ccwerrboundB, ccwerrboundC; -REAL iccerrboundA, iccerrboundB, iccerrboundC; -REAL o3derrboundA, o3derrboundB, o3derrboundC; - -/* Random number seed is not constant, but I've made it global anyway. */ - -unsigned long randomseed; /* Current random number seed. */ - - -/* Mesh data structure. Triangle operates on only one mesh, but the mesh */ -/* structure is used (instead of global variables) to allow reentrancy. */ - -struct mesh { - -/* Variables used to allocate memory for triangles, subsegments, vertices, */ -/* viri (triangles being eaten), encroached segments, bad (skinny or too */ -/* large) triangles, and splay tree nodes. */ - - struct memorypool triangles; - struct memorypool subsegs; - struct memorypool vertices; - struct memorypool viri; - struct memorypool badsubsegs; - struct memorypool badtriangles; - struct memorypool flipstackers; - struct memorypool splaynodes; - -/* Variables that maintain the bad triangle queues. The queues are */ -/* ordered from 63 (highest priority) to 0 (lowest priority). */ - - struct badtriang *queuefront[64]; - struct badtriang *queuetail[64]; - int nextnonemptyq[64]; - int firstnonemptyq; - -/* Variable that maintains the stack of recently flipped triangles. */ - - struct flipstacker *lastflip; - -/* Other variables. */ - - REAL xmin, xmax, ymin, ymax; /* x and y bounds. */ - REAL xminextreme; /* Nonexistent x value used as a flag in sweepline. */ - int invertices; /* Number of input vertices. */ - int inelements; /* Number of input triangles. */ - int insegments; /* Number of input segments. */ - int holes; /* Number of input holes. */ - int regions; /* Number of input regions. */ - int undeads; /* Number of input vertices that don't appear in the mesh. */ - long edges; /* Number of output edges. */ - int mesh_dim; /* Dimension (ought to be 2). */ - int nextras; /* Number of attributes per vertex. */ - int eextras; /* Number of attributes per triangle. */ - long hullsize; /* Number of edges in convex hull. */ - int steinerleft; /* Number of Steiner points not yet used. */ - int vertexmarkindex; /* Index to find boundary marker of a vertex. */ - int vertex2triindex; /* Index to find a triangle adjacent to a vertex. */ - int highorderindex; /* Index to find extra nodes for high-order elements. */ - int elemattribindex; /* Index to find attributes of a triangle. */ - int areaboundindex; /* Index to find area bound of a triangle. */ - int checksegments; /* Are there segments in the triangulation yet? */ - int checkquality; /* Has quality triangulation begun yet? */ - int readnodefile; /* Has a .node file been read? */ - long samples; /* Number of random samples for point location. */ - - long incirclecount; /* Number of incircle tests performed. */ - long counterclockcount; /* Number of counterclockwise tests performed. */ - long orient3dcount; /* Number of 3D orientation tests performed. */ - long hyperbolacount; /* Number of right-of-hyperbola tests performed. */ - long circumcentercount; /* Number of circumcenter calculations performed. */ - long circletopcount; /* Number of circle top calculations performed. */ - -/* Triangular bounding box vertices. */ - - vertex infvertex1, infvertex2, infvertex3; - -/* Pointer to the `triangle' that occupies all of "outer space." */ - - triangle *dummytri; - triangle *dummytribase; /* Keep base address so we can free() it later. */ - -/* Pointer to the omnipresent subsegment. Referenced by any triangle or */ -/* subsegment that isn't really connected to a subsegment at that */ -/* location. */ - - subseg *dummysub; - subseg *dummysubbase; /* Keep base address so we can free() it later. */ - -/* Pointer to a recently visited triangle. Improves point location if */ -/* proximate vertices are inserted sequentially. */ - - struct otri recenttri; - -}; /* End of `struct mesh'. */ - - -/* Data structure for command line switches and file names. This structure */ -/* is used (instead of global variables) to allow reentrancy. */ - -struct behavior { - -/* Switches for the triangulator. */ -/* poly: -p switch. refine: -r switch. */ -/* quality: -q switch. */ -/* minangle: minimum angle bound, specified after -q switch. */ -/* goodangle: cosine squared of minangle. */ -/* vararea: -a switch without number. */ -/* fixedarea: -a switch with number. */ -/* maxarea: maximum area bound, specified after -a switch. */ -/* usertest: -u switch. */ -/* regionattrib: -A switch. convex: -c switch. */ -/* weighted: 1 for -w switch, 2 for -W switch. jettison: -j switch */ -/* firstnumber: inverse of -z switch. All items are numbered starting */ -/* from `firstnumber'. */ -/* edgesout: -e switch. voronoi: -v switch. */ -/* neighbors: -n switch. geomview: -g switch. */ -/* nobound: -B switch. nopolywritten: -P switch. */ -/* nonodewritten: -N switch. noelewritten: -E switch. */ -/* noiterationnum: -I switch. noholes: -O switch. */ -/* noexact: -X switch. */ -/* order: element order, specified after -o switch. */ -/* nobisect: count of how often -Y switch is selected. */ -/* steiner: maximum number of Steiner points, specified after -S switch. */ -/* incremental: -i switch. sweepline: -F switch. */ -/* dwyer: inverse of -l switch. */ -/* splitseg: -s switch. */ -/* nolenses: -L switch. docheck: -C switch. */ -/* quiet: -Q switch. verbose: count of how often -V switch is selected. */ -/* usesegments: -p, -r, -q, or -c switch; determines whether segments are */ -/* used at all. */ -/* */ -/* Read the instructions to find out the meaning of these switches. */ - - int poly, refine, quality, vararea, fixedarea, usertest; - int regionattrib, convex, weighted, jettison; - int firstnumber; - int edgesout, voronoi, neighbors, geomview; - int nobound, nopolywritten, nonodewritten, noelewritten, noiterationnum; - int noholes, noexact, nolenses; - int incremental, sweepline, dwyer; - int splitseg; - int docheck; - int quiet, verbose; - int usesegments; - int order; - int nobisect; - int steiner; - REAL minangle, goodangle; - REAL maxarea; - -/* Variables for file names. */ - -#ifndef TRILIBRARY - char innodefilename[FILENAMESIZE]; - char inelefilename[FILENAMESIZE]; - char inpolyfilename[FILENAMESIZE]; - char areafilename[FILENAMESIZE]; - char outnodefilename[FILENAMESIZE]; - char outelefilename[FILENAMESIZE]; - char outpolyfilename[FILENAMESIZE]; - char edgefilename[FILENAMESIZE]; - char vnodefilename[FILENAMESIZE]; - char vedgefilename[FILENAMESIZE]; - char neighborfilename[FILENAMESIZE]; - char offfilename[FILENAMESIZE]; -#endif /* not TRILIBRARY */ - -}; /* End of `struct behavior'. */ - - -/*****************************************************************************/ -/* */ -/* Mesh manipulation primitives. Each triangle contains three pointers to */ -/* other triangles, with orientations. Each pointer points not to the */ -/* first byte of a triangle, but to one of the first three bytes of a */ -/* triangle. It is necessary to extract both the triangle itself and the */ -/* orientation. To save memory, I keep both pieces of information in one */ -/* pointer. To make this possible, I assume that all triangles are aligned */ -/* to four-byte boundaries. The decode() routine below decodes a pointer, */ -/* extracting an orientation (in the range 0 to 2) and a pointer to the */ -/* beginning of a triangle. The encode() routine compresses a pointer to a */ -/* triangle and an orientation into a single pointer. My assumptions that */ -/* triangles are four-byte-aligned and that the `unsigned long' type is */ -/* long enough to hold a pointer are two of the few kludges in this program.*/ -/* */ -/* Subsegments are manipulated similarly. A pointer to a subsegment */ -/* carries both an address and an orientation in the range 0 to 1. */ -/* */ -/* The other primitives take an oriented triangle or oriented subsegment, */ -/* and return an oriented triangle or oriented subsegment or vertex; or */ -/* they change the connections in the data structure. */ -/* */ -/* Below, triangles and subsegments are denoted by their vertices. The */ -/* triangle abc has origin (org) a, destination (dest) b, and apex (apex) */ -/* c. These vertices occur in counterclockwise order about the triangle. */ -/* The handle abc may simultaneously denote vertex a, edge ab, and triangle */ -/* abc. */ -/* */ -/* Similarly, the subsegment ab has origin (sorg) a and destination (sdest) */ -/* b. If ab is thought to be directed upward (with b directly above a), */ -/* then the handle ab is thought to grasp the right side of ab, and may */ -/* simultaneously denote vertex a and edge ab. */ -/* */ -/* An asterisk (*) denotes a vertex whose identity is unknown. */ -/* */ -/* Given this notation, a partial list of mesh manipulation primitives */ -/* follows. */ -/* */ -/* */ -/* For triangles: */ -/* */ -/* sym: Find the abutting triangle; same edge. */ -/* sym(abc) -> ba* */ -/* */ -/* lnext: Find the next edge (counterclockwise) of a triangle. */ -/* lnext(abc) -> bca */ -/* */ -/* lprev: Find the previous edge (clockwise) of a triangle. */ -/* lprev(abc) -> cab */ -/* */ -/* onext: Find the next edge counterclockwise with the same origin. */ -/* onext(abc) -> ac* */ -/* */ -/* oprev: Find the next edge clockwise with the same origin. */ -/* oprev(abc) -> a*b */ -/* */ -/* dnext: Find the next edge counterclockwise with the same destination. */ -/* dnext(abc) -> *ba */ -/* */ -/* dprev: Find the next edge clockwise with the same destination. */ -/* dprev(abc) -> cb* */ -/* */ -/* rnext: Find the next edge (counterclockwise) of the adjacent triangle. */ -/* rnext(abc) -> *a* */ -/* */ -/* rprev: Find the previous edge (clockwise) of the adjacent triangle. */ -/* rprev(abc) -> b** */ -/* */ -/* org: Origin dest: Destination apex: Apex */ -/* org(abc) -> a dest(abc) -> b apex(abc) -> c */ -/* */ -/* bond: Bond two triangles together at the resepective handles. */ -/* bond(abc, bad) */ -/* */ -/* */ -/* For subsegments: */ -/* */ -/* ssym: Reverse the orientation of a subsegment. */ -/* ssym(ab) -> ba */ -/* */ -/* spivot: Find adjoining subsegment with the same origin. */ -/* spivot(ab) -> a* */ -/* */ -/* snext: Find next subsegment in sequence. */ -/* snext(ab) -> b* */ -/* */ -/* sorg: Origin sdest: Destination */ -/* sorg(ab) -> a sdest(ab) -> b */ -/* */ -/* sbond: Bond two subsegments together at the respective origins. */ -/* sbond(ab, ac) */ -/* */ -/* */ -/* For interacting tetrahedra and subfacets: */ -/* */ -/* tspivot: Find a subsegment abutting a triangle. */ -/* tspivot(abc) -> ba */ -/* */ -/* stpivot: Find a triangle abutting a subsegment. */ -/* stpivot(ab) -> ba* */ -/* */ -/* tsbond: Bond a triangle to a subsegment. */ -/* tsbond(abc, ba) */ -/* */ -/*****************************************************************************/ - -/********* Mesh manipulation primitives begin here *********/ -/** **/ -/** **/ - -/* Fast lookup arrays to speed some of the mesh manipulation primitives. */ - -int plus1mod3[3] = {1, 2, 0}; -int minus1mod3[3] = {2, 0, 1}; - -/********* Primitives for triangles *********/ -/* */ -/* */ - -/* decode() converts a pointer to an oriented triangle. The orientation is */ -/* extracted from the two least significant bits of the pointer. */ - -#define decode(ptr, otri) \ - (otri).orient = (int) ((unsigned long) (ptr) & (unsigned long) 3l); \ - (otri).tri = (triangle *) \ - ((unsigned long) (ptr) ^ (unsigned long) (otri).orient) - -/* encode() compresses an oriented triangle into a single pointer. It */ -/* relies on the assumption that all triangles are aligned to four-byte */ -/* boundaries, so the two least significant bits of (otri).tri are zero. */ - -#define encode(otri) \ - (triangle) ((unsigned long) (otri).tri | (unsigned long) (otri).orient) - -/* The following handle manipulation primitives are all described by Guibas */ -/* and Stolfi. However, Guibas and Stolfi use an edge-based data */ -/* structure, whereas I use a triangle-based data structure. */ - -/* sym() finds the abutting triangle, on the same edge. Note that the edge */ -/* direction is necessarily reversed, because the handle specified by an */ -/* oriented triangle is directed counterclockwise around the triangle. */ - -#define sym(otri1, otri2) \ - ptr = (otri1).tri[(otri1).orient]; \ - decode(ptr, otri2); - -#define symself(otri) \ - ptr = (otri).tri[(otri).orient]; \ - decode(ptr, otri); - -/* lnext() finds the next edge (counterclockwise) of a triangle. */ - -#define lnext(otri1, otri2) \ - (otri2).tri = (otri1).tri; \ - (otri2).orient = plus1mod3[(otri1).orient] - -#define lnextself(otri) \ - (otri).orient = plus1mod3[(otri).orient] - -/* lprev() finds the previous edge (clockwise) of a triangle. */ - -#define lprev(otri1, otri2) \ - (otri2).tri = (otri1).tri; \ - (otri2).orient = minus1mod3[(otri1).orient] - -#define lprevself(otri) \ - (otri).orient = minus1mod3[(otri).orient] - -/* onext() spins counterclockwise around a vertex; that is, it finds the */ -/* next edge with the same origin in the counterclockwise direction. This */ -/* edge is part of a different triangle. */ - -#define onext(otri1, otri2) \ - lprev(otri1, otri2); \ - symself(otri2); - -#define onextself(otri) \ - lprevself(otri); \ - symself(otri); - -/* oprev() spins clockwise around a vertex; that is, it finds the next edge */ -/* with the same origin in the clockwise direction. This edge is part of */ -/* a different triangle. */ - -#define oprev(otri1, otri2) \ - sym(otri1, otri2); \ - lnextself(otri2); - -#define oprevself(otri) \ - symself(otri); \ - lnextself(otri); - -/* dnext() spins counterclockwise around a vertex; that is, it finds the */ -/* next edge with the same destination in the counterclockwise direction. */ -/* This edge is part of a different triangle. */ - -#define dnext(otri1, otri2) \ - sym(otri1, otri2); \ - lprevself(otri2); - -#define dnextself(otri) \ - symself(otri); \ - lprevself(otri); - -/* dprev() spins clockwise around a vertex; that is, it finds the next edge */ -/* with the same destination in the clockwise direction. This edge is */ -/* part of a different triangle. */ - -#define dprev(otri1, otri2) \ - lnext(otri1, otri2); \ - symself(otri2); - -#define dprevself(otri) \ - lnextself(otri); \ - symself(otri); - -/* rnext() moves one edge counterclockwise about the adjacent triangle. */ -/* (It's best understood by reading Guibas and Stolfi. It involves */ -/* changing triangles twice.) */ - -#define rnext(otri1, otri2) \ - sym(otri1, otri2); \ - lnextself(otri2); \ - symself(otri2); - -#define rnextself(otri) \ - symself(otri); \ - lnextself(otri); \ - symself(otri); - -/* rprev() moves one edge clockwise about the adjacent triangle. */ -/* (It's best understood by reading Guibas and Stolfi. It involves */ -/* changing triangles twice.) */ - -#define rprev(otri1, otri2) \ - sym(otri1, otri2); \ - lprevself(otri2); \ - symself(otri2); - -#define rprevself(otri) \ - symself(otri); \ - lprevself(otri); \ - symself(otri); - -/* These primitives determine or set the origin, destination, or apex of a */ -/* triangle. */ - -#define org(otri, vertexptr) \ - vertexptr = (vertex) (otri).tri[plus1mod3[(otri).orient] + 3] - -#define dest(otri, vertexptr) \ - vertexptr = (vertex) (otri).tri[minus1mod3[(otri).orient] + 3] - -#define apex(otri, vertexptr) \ - vertexptr = (vertex) (otri).tri[(otri).orient + 3] - -#define setorg(otri, vertexptr) \ - (otri).tri[plus1mod3[(otri).orient] + 3] = (triangle) vertexptr - -#define setdest(otri, vertexptr) \ - (otri).tri[minus1mod3[(otri).orient] + 3] = (triangle) vertexptr - -#define setapex(otri, vertexptr) \ - (otri).tri[(otri).orient + 3] = (triangle) vertexptr - -/* Bond two triangles together. */ - -#define bond(otri1, otri2) \ - (otri1).tri[(otri1).orient] = encode(otri2); \ - (otri2).tri[(otri2).orient] = encode(otri1) - -/* Dissolve a bond (from one side). Note that the other triangle will still */ -/* think it's connected to this triangle. Usually, however, the other */ -/* triangle is being deleted entirely, or bonded to another triangle, so */ -/* it doesn't matter. */ - -#define dissolve(otri) \ - (otri).tri[(otri).orient] = (triangle) m->dummytri - -/* Copy an oriented triangle. */ - -#define otricopy(otri1, otri2) \ - (otri2).tri = (otri1).tri; \ - (otri2).orient = (otri1).orient - -/* Test for equality of oriented triangles. */ - -#define otriequal(otri1, otri2) \ - (((otri1).tri == (otri2).tri) && \ - ((otri1).orient == (otri2).orient)) - -/* Primitives to infect or cure a triangle with the virus. These rely on */ -/* the assumption that all subsegments are aligned to four-byte boundaries.*/ - -#define infect(otri) \ - (otri).tri[6] = (triangle) \ - ((unsigned long) (otri).tri[6] | (unsigned long) 2l) - -#define uninfect(otri) \ - (otri).tri[6] = (triangle) \ - ((unsigned long) (otri).tri[6] & ~ (unsigned long) 2l) - -/* Test a triangle for viral infection. */ - -#define infected(otri) \ - (((unsigned long) (otri).tri[6] & (unsigned long) 2l) != 0l) - -/* Check or set a triangle's attributes. */ - -#define elemattribute(otri, attnum) \ - ((REAL *) (otri).tri)[m->elemattribindex + (attnum)] - -#define setelemattribute(otri, attnum, value) \ - ((REAL *) (otri).tri)[m->elemattribindex + (attnum)] = value - -/* Check or set a triangle's maximum area bound. */ - -#define areabound(otri) ((REAL *) (otri).tri)[m->areaboundindex] - -#define setareabound(otri, value) \ - ((REAL *) (otri).tri)[m->areaboundindex] = value - -/* Check or set a triangle's deallocation. Its second pointer is set to */ -/* NULL to indicate that it is not allocated. (Its first pointer is used */ -/* for the stack of dead items.) Its fourth pointer (its first vertex) */ -/* is set to NULL in case a `badtriang' structure points to it. */ - -#define deadtri(tria) ((tria)[1] == (triangle) NULL) - -#define killtri(tria) \ - (tria)[1] = (triangle) NULL; \ - (tria)[3] = (triangle) NULL - -/********* Primitives for subsegments *********/ -/* */ -/* */ - -/* sdecode() converts a pointer to an oriented subsegment. The orientation */ -/* is extracted from the least significant bit of the pointer. The two */ -/* least significant bits (one for orientation, one for viral infection) */ -/* are masked out to produce the real pointer. */ - -#define sdecode(sptr, osub) \ - (osub).ssorient = (int) ((unsigned long) (sptr) & (unsigned long) 1l); \ - (osub).ss = (subseg *) \ - ((unsigned long) (sptr) & ~ (unsigned long) 3l) - -/* sencode() compresses an oriented subsegment into a single pointer. It */ -/* relies on the assumption that all subsegments are aligned to two-byte */ -/* boundaries, so the least significant bit of (osub).ss is zero. */ - -#define sencode(osub) \ - (subseg) ((unsigned long) (osub).ss | (unsigned long) (osub).ssorient) - -/* ssym() toggles the orientation of a subsegment. */ - -#define ssym(osub1, osub2) \ - (osub2).ss = (osub1).ss; \ - (osub2).ssorient = 1 - (osub1).ssorient - -#define ssymself(osub) \ - (osub).ssorient = 1 - (osub).ssorient - -/* spivot() finds the other subsegment (from the same segment) that shares */ -/* the same origin. */ - -#define spivot(osub1, osub2) \ - sptr = (osub1).ss[(osub1).ssorient]; \ - sdecode(sptr, osub2) - -#define spivotself(osub) \ - sptr = (osub).ss[(osub).ssorient]; \ - sdecode(sptr, osub) - -/* snext() finds the next subsegment (from the same segment) in sequence; */ -/* one whose origin is the input subsegment's destination. */ - -#define snext(osub1, osub2) \ - sptr = (osub1).ss[1 - (osub1).ssorient]; \ - sdecode(sptr, osub2) - -#define snextself(osub) \ - sptr = (osub).ss[1 - (osub).ssorient]; \ - sdecode(sptr, osub) - -/* These primitives determine or set the origin or destination of a */ -/* subsegment. */ - -#define sorg(osub, vertexptr) \ - vertexptr = (vertex) (osub).ss[2 + (osub).ssorient] - -#define sdest(osub, vertexptr) \ - vertexptr = (vertex) (osub).ss[3 - (osub).ssorient] - -#define setsorg(osub, vertexptr) \ - (osub).ss[2 + (osub).ssorient] = (subseg) vertexptr - -#define setsdest(osub, vertexptr) \ - (osub).ss[3 - (osub).ssorient] = (subseg) vertexptr - -/* These primitives read or set a boundary marker. Boundary markers are */ -/* used to hold user-defined tags for setting boundary conditions in */ -/* finite element solvers. */ - -#define mark(osub) (* (int *) ((osub).ss + 6)) - -#define setmark(osub, value) \ - * (int *) ((osub).ss + 6) = value - -/* Bond two subsegments together. */ - -#define sbond(osub1, osub2) \ - (osub1).ss[(osub1).ssorient] = sencode(osub2); \ - (osub2).ss[(osub2).ssorient] = sencode(osub1) - -/* Dissolve a subsegment bond (from one side). Note that the other */ -/* subsegment will still think it's connected to this subsegment. */ - -#define sdissolve(osub) \ - (osub).ss[(osub).ssorient] = (subseg) m->dummysub - -/* Copy a subsegment. */ - -#define subsegcopy(osub1, osub2) \ - (osub2).ss = (osub1).ss; \ - (osub2).ssorient = (osub1).ssorient - -/* Test for equality of subsegments. */ - -#define subsegequal(osub1, osub2) \ - (((osub1).ss == (osub2).ss) && \ - ((osub1).ssorient == (osub2).ssorient)) - -/* Check or set a subsegment's deallocation. Its second pointer is set to */ -/* NULL to indicate that it is not allocated. (Its first pointer is used */ -/* for the stack of dead items.) Its third pointer (its first vertex) */ -/* is set to NULL in case a `badsubseg' structure points to it. */ - -#define deadsubseg(sub) ((sub)[1] == (subseg) NULL) - -#define killsubseg(sub) \ - (sub)[1] = (subseg) NULL; \ - (sub)[2] = (subseg) NULL - -/********* Primitives for interacting triangles and subsegments *********/ -/* */ -/* */ - -/* tspivot() finds a subsegment abutting a triangle. */ - -#define tspivot(otri, osub) \ - sptr = (subseg) (otri).tri[6 + (otri).orient]; \ - sdecode(sptr, osub) - -/* stpivot() finds a triangle abutting a subsegment. It requires that the */ -/* variable `ptr' of type `triangle' be defined. */ - -#define stpivot(osub, otri) \ - ptr = (triangle) (osub).ss[4 + (osub).ssorient]; \ - decode(ptr, otri) - -/* Bond a triangle to a subsegment. */ - -#define tsbond(otri, osub) \ - (otri).tri[6 + (otri).orient] = (triangle) sencode(osub); \ - (osub).ss[4 + (osub).ssorient] = (subseg) encode(otri) - -/* Dissolve a bond (from the triangle side). */ - -#define tsdissolve(otri) \ - (otri).tri[6 + (otri).orient] = (triangle) m->dummysub - -/* Dissolve a bond (from the subsegment side). */ - -#define stdissolve(osub) \ - (osub).ss[4 + (osub).ssorient] = (subseg) m->dummytri - -/********* Primitives for vertices *********/ -/* */ -/* */ - -#define vertexmark(vx) ((int *) (vx))[m->vertexmarkindex] - -#define setvertexmark(vx, value) \ - ((int *) (vx))[m->vertexmarkindex] = value - -#define vertextype(vx) ((int *) (vx))[m->vertexmarkindex + 1] - -#define setvertextype(vx, value) \ - ((int *) (vx))[m->vertexmarkindex + 1] = value - -#define vertex2tri(vx) ((triangle *) (vx))[m->vertex2triindex] - -#define setvertex2tri(vx, value) \ - ((triangle *) (vx))[m->vertex2triindex] = value - -/** **/ -/** **/ -/********* Mesh manipulation primitives end here *********/ - -/********* User-defined triangle evaluation routine begins here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* triunsuitable() Determine if a triangle is unsuitable, and thus must */ -/* be further refined. */ -/* */ -/* You may write your own procedure that decides whether or not a selected */ -/* triangle is too big (and needs to be refined). There are two ways to do */ -/* this. */ -/* */ -/* (1) Modify the procedure `triunsuitable' below, then recompile */ -/* Triangle. */ -/* */ -/* (2) Define the symbol EXTERNAL_TEST (either by adding the definition */ -/* to this file, or by using the appropriate compiler switch). This way, */ -/* you can compile triangle.c separately from your test. Write your own */ -/* `triunsuitable' procedure in a separate C file (using the same prototype */ -/* as below). Compile it and link the object code with triangle.o. */ -/* */ -/* This procedure returns 1 if the triangle is too large and should be */ -/* refined; 0 otherwise. */ -/* */ -/*****************************************************************************/ - -#ifdef EXTERNAL_TEST - -#ifdef ANSI_DECLARATORS -extern int triunsuitable(vertex triorg, vertex tridest, vertex triapex, - REAL area); -#else /* not ANSI_DECLARATORS */ -extern int triunsuitable(); -#endif /* not ANSI_DECLARATORS */ - -#else /* not EXTERNAL_TEST */ - -#ifdef ANSI_DECLARATORS -int triunsuitable(vertex triorg, vertex tridest, vertex triapex, REAL area) -#else /* not ANSI_DECLARATORS */ -int triunsuitable(triorg, tridest, triapex, area) -vertex triorg; /* The triangle's origin vertex. */ -vertex tridest; /* The triangle's destination vertex. */ -vertex triapex; /* The triangle's apex vertex. */ -REAL area; /* The area of the triangle. */ -#endif /* not ANSI_DECLARATORS */ - -{ - REAL dxoa, dxda, dxod; - REAL dyoa, dyda, dyod; - REAL oalen, dalen, odlen; - REAL maxlen; - - dxoa = triorg[0] - triapex[0]; - dyoa = triorg[1] - triapex[1]; - dxda = tridest[0] - triapex[0]; - dyda = tridest[1] - triapex[1]; - dxod = triorg[0] - tridest[0]; - dyod = triorg[1] - tridest[1]; - /* Find the squares of the lengths of the triangle's three edges. */ - oalen = dxoa * dxoa + dyoa * dyoa; - dalen = dxda * dxda + dyda * dyda; - odlen = dxod * dxod + dyod * dyod; - /* Find the square of the length of the longest edge. */ - maxlen = (dalen > oalen) ? dalen : oalen; - maxlen = (odlen > maxlen) ? odlen : maxlen; - - if (maxlen > 0.05 * (triorg[0] * triorg[0] + triorg[1] * triorg[1]) + 0.02) { - return 1; - } else { - return 0; - } -} - -#endif /* not EXTERNAL_TEST */ - -/** **/ -/** **/ -/********* User-defined triangle evaluation routine ends here *********/ - -/********* Memory allocation wrappers begin here *********/ -/** **/ -/** **/ - -#ifdef ANSI_DECLARATORS -VOID *trimalloc(int size) -#else /* not ANSI_DECLARATORS */ -VOID *trimalloc(size) -int size; -#endif /* not ANSI_DECLARATORS */ - -{ - VOID *memptr; - - memptr = malloc(size); - if (memptr == (VOID *) NULL) { - fprintf(stderr, "Error: Out of memory.\n"); - exit(1); - } - return(memptr); -} - -#ifdef ANSI_DECLARATORS -void trifree(VOID *memptr) -#else /* not ANSI_DECLARATORS */ -void trifree(memptr) -VOID *memptr; -#endif /* not ANSI_DECLARATORS */ - -{ - free(memptr); -} - -/** **/ -/** **/ -/********* Memory allocation wrappers end here *********/ - -/********* User interaction routines begin here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* syntax() Print list of command line switches. */ -/* */ -/*****************************************************************************/ - -#ifndef TRILIBRARY - -void syntax() -{ -#ifdef CDT_ONLY -#ifdef REDUCED - printf("triangle [-pAcjevngBPNEIOXzo_lQVh] input_file\n"); -#else /* not REDUCED */ - printf("triangle [-pAcjevngBPNEIOXzo_iFlCQVh] input_file\n"); -#endif /* not REDUCED */ -#else /* not CDT_ONLY */ -#ifdef REDUCED - printf("triangle [-prq__a__uAcjevngBPNEIOXzo_YS__LlQVh] input_file\n"); -#else /* not REDUCED */ - printf("triangle [-prq__a__uAcjevngBPNEIOXzo_YS__LiFlsCQVh] input_file\n"); -#endif /* not REDUCED */ -#endif /* not CDT_ONLY */ - - printf(" -p Triangulates a Planar Straight Line Graph (.poly file).\n"); -#ifndef CDT_ONLY - printf(" -r Refines a previously generated mesh.\n"); - printf( - " -q Quality mesh generation. A minimum angle may be specified.\n"); - printf(" -a Applies a maximum triangle area constraint.\n"); - printf(" -u Applies a user-defined triangle constraint.\n"); -#endif /* not CDT_ONLY */ - printf( - " -A Applies attributes to identify triangles in certain regions.\n"); - printf(" -c Encloses the convex hull with segments.\n"); - printf(" -w Weighted Delaunay triangulation.\n"); - printf(" -W Regular triangulation (lower hull of a height field).\n"); - printf(" -j Jettison unused vertices from output .node file.\n"); - printf(" -e Generates an edge list.\n"); - printf(" -v Generates a Voronoi diagram.\n"); - printf(" -n Generates a list of triangle neighbors.\n"); - printf(" -g Generates an .off file for Geomview.\n"); - printf(" -B Suppresses output of boundary information.\n"); - printf(" -P Suppresses output of .poly file.\n"); - printf(" -N Suppresses output of .node file.\n"); - printf(" -E Suppresses output of .ele file.\n"); - printf(" -I Suppresses mesh iteration numbers.\n"); - printf(" -O Ignores holes in .poly file.\n"); - printf(" -X Suppresses use of exact arithmetic.\n"); - printf(" -z Numbers all items starting from zero (rather than one).\n"); - printf(" -o2 Generates second-order subparametric elements.\n"); -#ifndef CDT_ONLY - printf(" -Y Suppresses boundary segment splitting.\n"); - printf(" -S Specifies maximum number of added Steiner points.\n"); - printf(" -L Uses equatorial circles, not equatorial lenses.\n"); -#endif /* not CDT_ONLY */ -#ifndef REDUCED - printf(" -i Uses incremental method, rather than divide-and-conquer.\n"); - printf(" -F Uses Fortune's sweepline algorithm, rather than d-and-c.\n"); -#endif /* not REDUCED */ - printf(" -l Uses vertical cuts only, rather than alternating cuts.\n"); -#ifndef REDUCED -#ifndef CDT_ONLY - printf( - " -s Force segments into mesh by splitting (instead of using CDT).\n"); - printf(" -L Uses Ruppert's diametral spheres, not diametral lenses.\n"); -#endif /* not CDT_ONLY */ - printf(" -C Check consistency of final mesh.\n"); -#endif /* not REDUCED */ - printf(" -Q Quiet: No terminal output except errors.\n"); - printf(" -V Verbose: Detailed information on what I'm doing.\n"); - printf(" -h Help: Detailed instructions for Triangle.\n"); - exit(0); -} - -#endif /* not TRILIBRARY */ - -/*****************************************************************************/ -/* */ -/* info() Print out complete instructions. */ -/* */ -/*****************************************************************************/ - -#ifndef TRILIBRARY - -void info() -{ - printf("Triangle\n"); - printf( -"A Two-Dimensional Quality Mesh Generator and Delaunay Triangulator.\n"); - printf("Version 1.4\n\n"); - printf("Copyright 1993, 1995, 1997, 1998, 2002 Jonathan Richard Shewchuk\n"); - printf("2360 Woolsey #H / Berkeley, California 94705-1927\n"); - printf("Bugs/comments to jrs@cs.berkeley.edu\n"); - printf( -"Created as part of the Archimedes project (tools for parallel FEM).\n"); - printf( -"Supported in part by NSF Grant CMS-9318163 and an NSERC 1967 Scholarship.\n"); - printf("There is no warranty whatsoever. Use at your own risk.\n"); -#ifdef SINGLE - printf("This executable is compiled for single precision arithmetic.\n\n\n"); -#else /* not SINGLE */ - printf("This executable is compiled for double precision arithmetic.\n\n\n"); -#endif /* not SINGLE */ - printf( -"Triangle generates exact Delaunay triangulations, constrained Delaunay\n"); - printf( -"triangulations, Voronoi diagrams, and quality conforming Delaunay\n"); - printf( -"triangulations. The latter can be generated with no small angles, and are\n" -); - printf( -"thus suitable for finite element analysis. If no command line switches are\n" -); - printf( -"specified, your .node input file is read, and the Delaunay triangulation is\n" -); - printf("returned in .node and .ele output files. The command syntax is:\n"); - printf("\n"); - printf("triangle [-prq__a__uAcjevngBPNEIOXzo_YS__LiFlsCQVh] input_file\n"); - printf("\n"); - printf( -"Underscores indicate that numbers may optionally follow certain switches.\n"); - printf( -"Do not leave any space between a switch and its numeric parameter.\n"); - printf( -"input_file must be a file with extension .node, or extension .poly if the\n"); - printf( -"-p switch is used. If -r is used, you must supply .node and .ele files,\n"); - printf( -"and possibly a .poly file and an .area file as well. The formats of these\n" -); - printf("files are described below.\n\n"); - printf("Command Line Switches:\n\n"); - printf( -" -p Reads a Planar Straight Line Graph (.poly file), which can specify\n" -); - printf(" vertices, segments, holes, regional attributes, and area\n"); - printf( -" constraints. Generates a constrained Delaunay triangulation (CDT)\n" -); - printf( -" fitting the input; or, if -s, -q, -a, or -u is used, a conforming\n"); - printf( -" constrained Delaunay triangulation (CCDT). If -p is not used,\n"); - printf(" Triangle reads a .node file by default.\n"); - printf( -" -r Refines a previously generated mesh. The mesh is read from a .node\n" -); - printf( -" file and an .ele file. If -p is also used, a .poly file is read\n"); - printf( -" and used to constrain segments in the mesh. If -a is also used\n"); - printf( -" (with no number following), an .area file is read and used to\n"); - printf( -" impose area constraints on the mesh. Further details on refinement\n" -); - printf(" are given below.\n"); - printf( -" -q Quality mesh generation by my variant of Jim Ruppert's Delaunay\n"); - printf( -" refinement algorithm. Adds vertices to the mesh to ensure that no\n" -); - printf( -" angles smaller than 20 degrees occur. An alternative minimum angle\n" -); - printf( -" may be specified after the `q'. If the minimum angle is 20.7\n"); - printf( -" degrees or smaller, the triangulation algorithm is mathematically\n"); - printf( -" guaranteed to terminate (assuming infinite precision arithmetic--\n"); - printf( -" Triangle may fail to terminate if you run out of precision). In\n"); - printf( -" practice, the algorithm often succeeds for minimum angles up to\n"); - printf( -" 33.8 degrees. For some meshes, however, it may be necessary to\n"); - printf( -" reduce the minimum angle to avoid problems associated with\n"); - printf( -" insufficient floating-point precision. The specified angle may\n"); - printf(" include a decimal point.\n"); - printf( -" -a Imposes a maximum triangle area. If a number follows the `a', no\n"); - printf( -" triangle is generated whose area is larger than that number. If no\n" -); - printf( -" number is specified, an .area file (if -r is used) or .poly file\n"); - printf( -" (if -r is not used) specifies a set of maximum area constraints.\n"); - printf( -" An .area file contains a separate area constraint for each\n"); - printf( -" triangle, and is useful for refining a finite element mesh based on\n" -); - printf( -" a posteriori error estimates. A .poly file can optionally contain\n" -); - printf( -" an area constraint for each segment-bounded region, thereby\n"); - printf( -" controlling triangle densities in a first triangulation of a PSLG.\n" -); - printf( -" You can impose both a fixed area constraint and a varying area\n"); - printf( -" constraint by invoking the -a switch twice, once with and once\n"); - printf( -" without a number following. Each area specified may include a\n"); - printf(" decimal point.\n"); - printf( -" -u Imposes a user-defined constraint on triangle size. There are two\n" -); - printf( -" ways to use this feature. One is to edit the triunsuitable()\n"); - printf( -" procedure in triangle.c to encode any constraint you like, then\n"); - printf( -" recompile Triangle. The other is to compile triangle.c with the\n"); - printf( -" EXTERNAL_TEST symbol set (compiler switch -DEXTERNAL_TEST), then\n"); - printf( -" link Triangle against a separate object file that implements\n"); - printf( -" triunsuitable(). In either case, the -u switch causes the user-\n"); - printf(" defined test to be applied to every triangle.\n"); - printf( -" -A Assigns an additional attribute to each triangle that identifies\n"); - printf( -" what segment-bounded region each triangle belongs to. Attributes\n"); - printf( -" are assigned to regions by the .poly file. If a region is not\n"); - printf( -" explicitly marked by the .poly file, triangles in that region are\n"); - printf( -" assigned an attribute of zero. The -A switch has an effect only\n"); - printf(" when the -p switch is used and the -r switch is not.\n"); - printf( -" -c Creates segments on the convex hull of the triangulation. If you\n"); - printf( -" are triangulating a vertex set, this switch causes a .poly file to\n" -); - printf( -" be written, containing all edges in the convex hull. If you are\n"); - printf( -" triangulating a PSLG, this switch specifies that the whole convex\n"); - printf( -" hull of the PSLG should be triangulated, regardless of what\n"); - printf( -" segments the PSLG has. If you do not use this switch when\n"); - printf( -" triangulating a PSLG, it is assumed that you have identified the\n"); - printf( -" region to be triangulated by surrounding it with segments of the\n"); - printf( -" input PSLG. Beware: if you are not careful, this switch can cause\n" -); - printf( -" the introduction of an extremely thin angle between a PSLG segment\n" -); - printf( -" and a convex hull segment, which can cause overrefinement (and\n"); - printf( -" possibly failure if Triangle runs out of precision). If you are\n"); - printf( -" refining a mesh, the -c switch works differently; it generates the\n" -); - printf( -" set of boundary edges of the mesh (useful if no .poly file was\n"); - printf(" read).\n"); - printf( -" -j Jettisons vertices that are not part of the final triangulation\n"); - printf( -" from the output .node file. By default, Triangle copies all\n"); - printf( -" vertices in the input .node file to the output .node file, in the\n"); - printf( -" same order, so their indices do not change. The -j switch prevents\n" -); - printf( -" duplicated input vertices from appearing in the output .node file;\n" -); - printf( -" hence, if two input vertices have exactly the same coordinates,\n"); - printf( -" only the first appears in the output. If any vertices are\n"); - printf( -" jettisoned, the vertex numbering in the output .node file differs\n"); - printf(" from that of the input .node file.\n"); - printf( -" -e Outputs (to an .edge file) a list of edges of the triangulation.\n"); - printf( -" -v Outputs the Voronoi diagram associated with the triangulation.\n"); - printf( -" Does not attempt to detect degeneracies, so some Voronoi vertices\n"); - printf( -" may be duplicated. See the discussion of Voronoi diagrams below.\n"); - printf( -" -n Outputs (to a .neigh file) a list of triangles neighboring each\n"); - printf(" triangle.\n"); - printf( -" -g Outputs the mesh to an Object File Format (.off) file, suitable for\n" -); - printf(" viewing with the Geometry Center's Geomview package.\n"); - printf( -" -B No boundary markers in the output .node, .poly, and .edge output\n"); - printf( -" files. See the detailed discussion of boundary markers below.\n"); - printf( -" -P No output .poly file. Saves disk space, but you lose the ability\n"); - printf( -" to maintain constraining segments on later refinements of the mesh.\n" -); - printf(" -N No output .node file.\n"); - printf(" -E No output .ele file.\n"); - printf( -" -I No iteration numbers. Suppresses the output of .node and .poly\n"); - printf( -" files, so your input files won't be overwritten. (If your input is\n" -); - printf( -" a .poly file only, a .node file is written.) Cannot be used with\n"); - printf( -" the -r switch, because that would overwrite your input .ele file.\n"); - printf( -" Shouldn't be used with the -q, -a, -u, or -s switch if you are\n"); - printf( -" using a .node file for input, because no .node file is written, so\n" -); - printf(" there is no record of any added Steiner points.\n"); - printf(" -O No holes. Ignores the holes in the .poly file.\n"); - printf( -" -X No exact arithmetic. Normally, Triangle uses exact floating-point\n" -); - printf( -" arithmetic for certain tests if it thinks the inexact tests are not\n" -); - printf( -" accurate enough. Exact arithmetic ensures the robustness of the\n"); - printf( -" triangulation algorithms, despite floating-point roundoff error.\n"); - printf( -" Disabling exact arithmetic with the -X switch causes a small\n"); - printf( -" improvement in speed and creates the possibility (albeit small)\n"); - printf( -" that Triangle will fail to produce a valid mesh. Not recommended.\n" -); - printf( -" -z Numbers all items starting from zero (rather than one). Note that\n" -); - printf( -" this switch is normally overrided by the value used to number the\n"); - printf( -" first vertex of the input .node or .poly file. However, this\n"); - printf( -" switch is useful when calling Triangle from another program.\n"); - printf( -" -o2 Generates second-order subparametric elements with six nodes each.\n" -); - printf( -" -Y No new vertices on the boundary. This switch is useful when the\n"); - printf( -" mesh boundary must be preserved so that it conforms to some\n"); - printf( -" adjacent mesh. Be forewarned that you will probably sacrifice some\n" -); - printf( -" of the quality of the mesh; Triangle will try, but the resulting\n"); - printf( -" mesh may contain triangles of poor aspect ratio. Works well if all\n" -); - printf( -" the boundary vertices are closely spaced. Specify this switch\n"); - printf( -" twice (`-YY') to prevent all segment splitting, including internal\n" -); - printf(" boundaries.\n"); - printf( -" -S Specifies the maximum number of Steiner points (vertices that are\n"); - printf( -" not in the input, but are added to meet the constraints on minimum\n" -); - printf( -" angle and maximum area). The default is to allow an unlimited\n"); - printf( -" number. If you specify this switch with no number after it,\n"); - printf( -" the limit is set to zero. Triangle always adds vertices at segment\n" -); - printf( -" intersections, even if it needs to use more vertices than the limit\n" -); - printf( -" you set. When Triangle inserts segments by splitting (-s), it\n"); - printf( -" always adds enough vertices to ensure that all the segments of the\n" -); - printf(" PLSG are recovered, ignoring the limit if necessary.\n"); - printf( -" -L Do not use diametral lenses to determine whether subsegments are\n"); - printf( -" encroached; use diametral circles instead (as in Ruppert's\n"); - printf( -" algorithm). Use this switch if you want all triangles in the mesh\n" -); - printf( -" to be Delaunay, and not just constrained Delaunay; or if you want\n"); - printf( -" to ensure that all Voronoi vertices lie within the triangulation.\n"); - printf( -" (Applications such as some finite volume methods may have this\n"); - printf( -" requirement.) This switch may increase the number of vertices in\n"); - printf(" the mesh to meet these constraints.\n"); - printf( -" -i Uses an incremental rather than divide-and-conquer algorithm to\n"); - printf( -" form a Delaunay triangulation. Try it if the divide-and-conquer\n"); - printf(" algorithm fails.\n"); - printf( -" -F Uses Steven Fortune's sweepline algorithm to form a Delaunay\n"); - printf( -" triangulation. Warning: does not use exact arithmetic for all\n"); - printf(" calculations. An exact result is not guaranteed.\n"); - printf( -" -l Uses only vertical cuts in the divide-and-conquer algorithm. By\n"); - printf( -" default, Triangle uses alternating vertical and horizontal cuts,\n"); - printf( -" which usually improve the speed except with vertex sets that are\n"); - printf( -" small or short and wide. This switch is primarily of theoretical\n"); - printf(" interest.\n"); - printf( -" -s Specifies that segments should be forced into the triangulation by\n" -); - printf( -" recursively splitting them at their midpoints, rather than by\n"); - printf( -" generating a constrained Delaunay triangulation. Segment splitting\n" -); - printf( -" is true to Ruppert's original algorithm, but can create needlessly\n" -); - printf( -" small triangles. This switch is primarily of theoretical interest.\n" -); - printf( -" -C Check the consistency of the final mesh. Uses exact arithmetic for\n" -); - printf( -" checking, even if the -X switch is used. Useful if you suspect\n"); - printf(" Triangle is buggy.\n"); - printf( -" -Q Quiet: Suppresses all explanation of what Triangle is doing,\n"); - printf(" unless an error occurs.\n"); - printf( -" -V Verbose: Gives detailed information about what Triangle is doing.\n" -); - printf( -" Add more `V's for increasing amount of detail. `-V' gives\n"); - printf( -" information on algorithmic progress and more detailed statistics.\n"); - printf( -" `-VV' gives vertex-by-vertex details, and prints so much that\n"); - printf( -" Triangle runs much more slowly. `-VVVV' gives information only\n"); - printf(" a debugger could love.\n"); - printf(" -h Help: Displays these instructions.\n"); - printf("\n"); - printf("Definitions:\n"); - printf("\n"); - printf( -" A Delaunay triangulation of a vertex set is a triangulation whose\n"); - printf( -" vertices are the vertex set, wherein no vertex in the vertex set falls in\n" -); - printf( -" the interior of the circumcircle (circle that passes through all three\n"); - printf(" vertices) of any triangle in the triangulation.\n\n"); - printf( -" A Voronoi diagram of a vertex set is a subdivision of the plane into\n"); - printf( -" polygonal regions (some of which may be infinite), where each region is\n"); - printf( -" the set of points in the plane that are closer to some input vertex than\n" -); - printf( -" to any other input vertex. (The Voronoi diagram is the geometric dual of\n" -); - printf(" the Delaunay triangulation.)\n\n"); - printf( -" A Planar Straight Line Graph (PSLG) is a set of vertices and segments.\n"); - printf( -" Segments are simply edges, whose endpoints are vertices in the PSLG.\n"); - printf( -" Segments may intersect each other only at their endpoints. The file\n"); - printf(" format for PSLGs (.poly files) is described below.\n\n"); - printf( -" A constrained Delaunay triangulation (CDT) of a PSLG is similar to a\n"); - printf( -" Delaunay triangulation, but each PSLG segment is present as a single edge\n" -); - printf( -" in the triangulation. (A constrained Delaunay triangulation is not truly\n" -); - printf( -" a Delaunay triangulation.) By definition, a CDT does not have any\n"); - printf(" vertices other than those specified in the input PSLG.\n\n"); - printf( -" A conforming Delaunay triangulation of a PSLG is a true Delaunay\n"); - printf( -" triangulation in which each PSLG segment is represented by a linear\n"); - printf( -" contiguous sequence of edges in the triangulation. Each input segment\n"); - printf( -" may have been subdivided into shorter subsegments by the insertion of\n"); - printf( -" additional vertices. These inserted vertices are necessary to maintain\n"); - printf( -" the Delaunay property while ensuring that every segment is represented.\n"); - printf("\n"); - printf("File Formats:\n"); - printf("\n"); - printf( -" All files may contain comments prefixed by the character '#'. Vertices,\n" -); - printf( -" triangles, edges, holes, and maximum area constraints must be numbered\n"); - printf( -" consecutively, starting from either 1 or 0. Whichever you choose, all\n"); - printf( -" input files must be consistent; if the vertices are numbered from 1, so\n"); - printf( -" must be all other objects. Triangle automatically detects your choice\n"); - printf( -" while reading the .node (or .poly) file. (When calling Triangle from\n"); - printf( -" another program, use the -z switch if you wish to number objects from\n"); - printf(" zero.) Examples of these file formats are given below.\n\n"); - printf(" .node files:\n"); - printf( -" First line: <# of vertices> <# of attributes>\n" -); - printf( -" <# of boundary markers (0 or 1)>\n" -); - printf( -" Remaining lines: [attributes] [boundary marker]\n"); - printf("\n"); - printf( -" The attributes, which are typically floating-point values of physical\n"); - printf( -" quantities (such as mass or conductivity) associated with the nodes of\n" -); - printf( -" a finite element mesh, are copied unchanged to the output mesh. If -q,\n" -); - printf( -" -a, -u, or -s is selected, each new Steiner point added to the mesh\n"); - printf(" has attributes assigned to it by linear interpolation.\n\n"); - printf( -" If the fourth entry of the first line is `1', the last column of the\n"); - printf( -" remainder of the file is assumed to contain boundary markers. Boundary\n" -); - printf( -" markers are used to identify boundary vertices and vertices resting on\n" -); - printf( -" PSLG segments; a complete description appears in a section below. The\n" -); - printf( -" .node file produced by Triangle contains boundary markers in the last\n"); - printf(" column unless they are suppressed by the -B switch.\n\n"); - printf(" .ele files:\n"); - printf( -" First line: <# of triangles> <# of attributes>\n"); - printf( -" Remaining lines: ... [attributes]\n"); - printf("\n"); - printf( -" Nodes are indices into the corresponding .node file. The first three\n"); - printf( -" nodes are the corner vertices, and are listed in counterclockwise order\n" -); - printf( -" around each triangle. (The remaining nodes, if any, depend on the type\n" -); - printf(" of finite element used.)\n\n"); - printf( -" The attributes are just like those of .node files. Because there is no\n" -); - printf( -" simple mapping from input to output triangles, an attempt is made to\n"); - printf( -" interpolate attributes, which may result in a good deal of diffusion of\n" -); - printf( -" attributes among nearby triangles as the triangulation is refined.\n"); - printf( -" Attributes do not diffuse across segments, so attributes used to\n"); - printf(" identify segment-bounded regions remain intact.\n\n"); - printf( -" In .ele files produced by Triangle, each triangular element has three\n"); - printf( -" nodes (vertices) unless the -o2 switch is used, in which case\n"); - printf( -" subparametric quadratic elements with six nodes each are generated.\n"); - printf( -" The first three nodes are the corners in counterclockwise order, and\n"); - printf( -" the fourth, fifth, and sixth nodes lie on the midpoints of the edges\n"); - printf( -" opposite the first, second, and third vertices, respectively.\n"); - printf("\n"); - printf(" .poly files:\n"); - printf( -" First line: <# of vertices> <# of attributes>\n" -); - printf( -" <# of boundary markers (0 or 1)>\n" -); - printf( -" Following lines: [attributes] [boundary marker]\n"); - printf(" One line: <# of segments> <# of boundary markers (0 or 1)>\n"); - printf( -" Following lines: [boundary marker]\n"); - printf(" One line: <# of holes>\n"); - printf(" Following lines: \n"); - printf( -" Optional line: <# of regional attributes and/or area constraints>\n"); - printf( -" Optional following lines: \n"); - printf("\n"); - printf( -" A .poly file represents a PSLG, as well as some additional information.\n" -); - printf( -" The first section lists all the vertices, and is identical to the\n"); - printf( -" format of .node files. <# of vertices> may be set to zero to indicate\n" -); - printf( -" that the vertices are listed in a separate .node file; .poly files\n"); - printf( -" produced by Triangle always have this format. A vertex set represented\n" -); - printf( -" this way has the advantage that it may easily be triangulated with or\n"); - printf( -" without segments (depending on whether the .poly or .node file is\n"); - printf(" read).\n\n"); - printf( -" The second section lists the segments. Segments are edges whose\n"); - printf( -" presence in the triangulation is enforced (although each segment may be\n" -); - printf( -" subdivided into smaller edges). Each segment is specified by listing\n"); - printf( -" the indices of its two endpoints. This means that you must include its\n" -); - printf( -" endpoints in the vertex list. Each segment, like each point, may have\n" -); - printf(" a boundary marker.\n\n"); - printf( -" If -q, -a, -u, and -s are not selected, Triangle produces a constrained\n" -); - printf( -" Delaunay triangulation (CDT), in which each segment appears as a single\n" -); - printf( -" edge in the triangulation. If -q, -a, -u, or -s is selected, Triangle\n" -); - printf( -" produces a conforming constrained Delaunay triangulation (CCDT), in\n"); - printf( -" which segments may be subdivided into smaller edges. If -L is selected\n" -); - printf( -" as well, Triangle produces a conforming Delaunay triangulation, so\n"); - printf( -" every triangle is Delaunay, and not just constrained Delaunay.\n"); - printf("\n"); - printf( -" The third section lists holes (and concavities, if -c is selected) in\n"); - printf( -" the triangulation. Holes are specified by identifying a point inside\n"); - printf( -" each hole. After the triangulation is formed, Triangle creates holes\n"); - printf( -" by eating triangles, spreading out from each hole point until its\n"); - printf( -" progress is blocked by PSLG segments; you must be careful to enclose\n"); - printf( -" each hole in segments, or your whole triangulation might be eaten away.\n" -); - printf( -" If the two triangles abutting a segment are eaten, the segment itself\n"); - printf( -" is also eaten. Do not place a hole directly on a segment; if you do,\n"); - printf(" Triangle chooses one side of the segment arbitrarily.\n\n"); - printf( -" The optional fourth section lists regional attributes (to be assigned\n"); - printf( -" to all triangles in a region) and regional constraints on the maximum\n"); - printf( -" triangle area. Triangle reads this section only if the -A switch is\n"); - printf( -" used or the -a switch is used without a number following it, and the -r\n" -); - printf( -" switch is not used. Regional attributes and area constraints are\n"); - printf( -" propagated in the same manner as holes; you specify a point for each\n"); - printf( -" attribute and/or constraint, and the attribute and/or constraint\n"); - printf( -" affects the whole region (bounded by segments) containing the point.\n"); - printf( -" If two values are written on a line after the x and y coordinate, the\n"); - printf( -" first such value is assumed to be a regional attribute (but is only\n"); - printf( -" applied if the -A switch is selected), and the second value is assumed\n" -); - printf( -" to be a regional area constraint (but is only applied if the -a switch\n" -); - printf( -" is selected). You may specify just one value after the coordinates,\n"); - printf( -" which can serve as both an attribute and an area constraint, depending\n" -); - printf( -" on the choice of switches. If you are using the -A and -a switches\n"); - printf( -" simultaneously and wish to assign an attribute to some region without\n"); - printf(" imposing an area constraint, use a negative maximum area.\n\n"); - printf( -" When a triangulation is created from a .poly file, you must either\n"); - printf( -" enclose the entire region to be triangulated in PSLG segments, or\n"); - printf( -" use the -c switch, which encloses the convex hull of the input vertex\n"); - printf( -" set. If you do not use the -c switch, Triangle eats all triangles that\n" -); - printf( -" are not enclosed by segments; if you are not careful, your whole\n"); - printf( -" triangulation may be eaten away. If you do use the -c switch, you can\n" -); - printf( -" still produce concavities by the appropriate placement of holes just\n"); - printf(" within the convex hull.\n\n"); - printf( -" An ideal PSLG has no intersecting segments, nor any vertices that lie\n"); - printf( -" upon segments (except, of course, the endpoints of each segment.) You\n" -); - printf( -" aren't required to make your .poly files ideal, but you should be aware\n" -); - printf( -" of what can go wrong. Segment intersections are relatively safe--\n"); - printf( -" Triangle calculates the intersection points for you and adds them to\n"); - printf( -" the triangulation--as long as your machine's floating-point precision\n"); - printf( -" doesn't become a problem. You are tempting the fates if you have three\n" -); - printf( -" segments that cross at the same location, and expect Triangle to figure\n" -); - printf( -" out where the intersection point is. Thanks to floating-point roundoff\n" -); - printf( -" error, Triangle will probably decide that the three segments intersect\n" -); - printf( -" at three different points, and you will find a minuscule triangle in\n"); - printf( -" your output--unless Triangle tries to refine the tiny triangle, uses\n"); - printf( -" up the last bit of machine precision, and fails to terminate at all.\n"); - printf( -" You're better off putting the intersection point in the input files,\n"); - printf( -" and manually breaking up each segment into two. Similarly, if you\n"); - printf( -" place a vertex at the middle of a segment, and hope that Triangle will\n" -); - printf( -" break up the segment at that vertex, you might get lucky. On the other\n" -); - printf( -" hand, Triangle might decide that the vertex doesn't lie precisely on\n"); - printf( -" the segment, and you'll have a needle-sharp triangle in your output--or\n" -); - printf(" a lot of tiny triangles if you're generating a quality mesh.\n"); - printf("\n"); - printf( -" When Triangle reads a .poly file, it also writes a .poly file, which\n"); - printf( -" includes all edges that are parts of input segments. If the -c switch\n" -); - printf( -" is used, the output .poly file also includes all of the edges on the\n"); - printf( -" convex hull. Hence, the output .poly file is useful for finding edges\n" -); - printf( -" associated with input segments and for setting boundary conditions in\n"); - printf( -" finite element simulations. Moreover, you will need it if you plan to\n" -); - printf( -" refine the output mesh, and don't want segments to be missing in later\n" -); - printf(" triangulations.\n\n"); - printf(" .area files:\n"); - printf(" First line: <# of triangles>\n"); - printf(" Following lines: \n\n"); - printf( -" An .area file associates with each triangle a maximum area that is used\n" -); - printf( -" for mesh refinement. As with other file formats, every triangle must\n"); - printf( -" be represented, and they must be numbered consecutively. A triangle\n"); - printf( -" may be left unconstrained by assigning it a negative maximum area.\n"); - printf("\n"); - printf(" .edge files:\n"); - printf(" First line: <# of edges> <# of boundary markers (0 or 1)>\n"); - printf( -" Following lines: [boundary marker]\n"); - printf("\n"); - printf( -" Endpoints are indices into the corresponding .node file. Triangle can\n" -); - printf( -" produce .edge files (use the -e switch), but cannot read them. The\n"); - printf( -" optional column of boundary markers is suppressed by the -B switch.\n"); - printf("\n"); - printf( -" In Voronoi diagrams, one also finds a special kind of edge that is an\n"); - printf( -" infinite ray with only one endpoint. For these edges, a different\n"); - printf(" format is used:\n\n"); - printf(" -1 \n\n"); - printf( -" The `direction' is a floating-point vector that indicates the direction\n" -); - printf(" of the infinite ray.\n\n"); - printf(" .neigh files:\n"); - printf( -" First line: <# of triangles> <# of neighbors per triangle (always 3)>\n" -); - printf( -" Following lines: \n"); - printf("\n"); - printf( -" Neighbors are indices into the corresponding .ele file. An index of -1\n" -); - printf( -" indicates no neighbor (because the triangle is on an exterior\n"); - printf( -" boundary). The first neighbor of triangle i is opposite the first\n"); - printf(" corner of triangle i, and so on.\n\n"); - printf( -" Triangle can produce .neigh files (use the -n switch), but cannot read\n" -); - printf(" them.\n\n"); - printf("Boundary Markers:\n\n"); - printf( -" Boundary markers are tags used mainly to identify which output vertices\n"); - printf( -" and edges are associated with which PSLG segment, and to identify which\n"); - printf( -" vertices and edges occur on a boundary of the triangulation. A common\n"); - printf( -" use is to determine where boundary conditions should be applied to a\n"); - printf( -" finite element mesh. You can prevent boundary markers from being written\n" -); - printf(" into files produced by Triangle by using the -B switch.\n\n"); - printf( -" The boundary marker associated with each segment in an output .poly file\n" -); - printf(" and each edge in an output .edge file is chosen as follows:\n"); - printf( -" - If an output edge is part or all of a PSLG segment with a nonzero\n"); - printf( -" boundary marker, then the edge is assigned the same marker.\n"); - printf( -" - Otherwise, if the edge occurs on a boundary of the triangulation\n"); - printf( -" (including boundaries of holes), then the edge is assigned the marker\n" -); - printf(" one (1).\n"); - printf(" - Otherwise, the edge is assigned the marker zero (0).\n"); - printf( -" The boundary marker associated with each vertex in an output .node file\n"); - printf(" is chosen as follows:\n"); - printf( -" - If a vertex is assigned a nonzero boundary marker in the input file,\n" -); - printf( -" then it is assigned the same marker in the output .node file.\n"); - printf( -" - Otherwise, if the vertex lies on a PSLG segment (including the\n"); - printf( -" segment's endpoints) with a nonzero boundary marker, then the vertex\n" -); - printf( -" is assigned the same marker. If the vertex lies on several such\n"); - printf(" segments, one of the markers is chosen arbitrarily.\n"); - printf( -" - Otherwise, if the vertex occurs on a boundary of the triangulation,\n"); - printf(" then the vertex is assigned the marker one (1).\n"); - printf(" - Otherwise, the vertex is assigned the marker zero (0).\n"); - printf("\n"); - printf( -" If you want Triangle to determine for you which vertices and edges are on\n" -); - printf( -" the boundary, assign them the boundary marker zero (or use no markers at\n" -); - printf( -" all) in your input files. In the output files, all boundary vertices,\n"); - printf(" edges, and segments are assigned the value one.\n\n"); - printf("Triangulation Iteration Numbers:\n\n"); - printf( -" Because Triangle can read and refine its own triangulations, input\n"); - printf( -" and output files have iteration numbers. For instance, Triangle might\n"); - printf( -" read the files mesh.3.node, mesh.3.ele, and mesh.3.poly, refine the\n"); - printf( -" triangulation, and output the files mesh.4.node, mesh.4.ele, and\n"); - printf(" mesh.4.poly. Files with no iteration number are treated as if\n"); - printf( -" their iteration number is zero; hence, Triangle might read the file\n"); - printf( -" points.node, triangulate it, and produce the files points.1.node and\n"); - printf(" points.1.ele.\n\n"); - printf( -" Iteration numbers allow you to create a sequence of successively finer\n"); - printf( -" meshes suitable for multigrid methods. They also allow you to produce a\n" -); - printf( -" sequence of meshes using error estimate-driven mesh refinement.\n"); - printf("\n"); - printf( -" If you're not using refinement or quality meshing, and you don't like\n"); - printf( -" iteration numbers, use the -I switch to disable them. This switch also\n"); - printf( -" disables output of .node and .poly files to prevent your input files from\n" -); - printf( -" being overwritten. (If the input is a .poly file that contains its own\n"); - printf(" points, a .node file is written.)\n\n"); - printf("Examples of How to Use Triangle:\n\n"); - printf( -" `triangle dots' reads vertices from dots.node, and writes their Delaunay\n" -); - printf( -" triangulation to dots.1.node and dots.1.ele. (dots.1.node is identical\n"); - printf( -" to dots.node.) `triangle -I dots' writes the triangulation to dots.ele\n"); - printf( -" instead. (No additional .node file is needed, so none is written.)\n"); - printf("\n"); - printf( -" `triangle -pe object.1' reads a PSLG from object.1.poly (and possibly\n"); - printf( -" object.1.node, if the vertices are omitted from object.1.poly) and writes\n" -); - printf( -" its constrained Delaunay triangulation to object.2.node and object.2.ele.\n" -); - printf( -" The segments are copied to object.2.poly, and all edges are written to\n"); - printf(" object.2.edge.\n\n"); - printf( -" `triangle -pq31.5a.1 object' reads a PSLG from object.poly (and possibly\n" -); - printf( -" object.node), generates a mesh whose angles are all 31.5 degrees or\n"); - printf( -" greater and whose triangles all have areas of 0.1 or less, and writes the\n" -); - printf( -" mesh to object.1.node and object.1.ele. Each segment may be broken up\n"); - printf(" into multiple subsegments; these are written to object.1.poly.\n"); - printf("\n"); - printf( -" Here is a sample file `box.poly' describing a square with a square hole:\n" -); - printf("\n"); - printf( -" # A box with eight vertices in 2D, no attributes, one boundary marker.\n" -); - printf(" 8 2 0 1\n"); - printf(" # Outer box has these vertices:\n"); - printf(" 1 0 0 0\n"); - printf(" 2 0 3 0\n"); - printf(" 3 3 0 0\n"); - printf(" 4 3 3 33 # A special marker for this vertex.\n"); - printf(" # Inner square has these vertices:\n"); - printf(" 5 1 1 0\n"); - printf(" 6 1 2 0\n"); - printf(" 7 2 1 0\n"); - printf(" 8 2 2 0\n"); - printf(" # Five segments with boundary markers.\n"); - printf(" 5 1\n"); - printf(" 1 1 2 5 # Left side of outer box.\n"); - printf(" # Square hole has these segments:\n"); - printf(" 2 5 7 0\n"); - printf(" 3 7 8 0\n"); - printf(" 4 8 6 10\n"); - printf(" 5 6 5 0\n"); - printf(" # One hole in the middle of the inner square.\n"); - printf(" 1\n"); - printf(" 1 1.5 1.5\n"); - printf("\n"); - printf( -" Note that some segments are missing from the outer square, so one must\n"); - printf( -" use the `-c' switch. After `triangle -pqc box.poly', here is the output\n" -); - printf( -" file `box.1.node', with twelve vertices. The last four vertices were\n"); - printf( -" added to meet the angle constraint. Vertices 1, 2, and 9 have markers\n"); - printf( -" from segment 1. Vertices 6 and 8 have markers from segment 4. All the\n"); - printf( -" other vertices but 4 have been marked to indicate that they lie on a\n"); - printf(" boundary.\n\n"); - printf(" 12 2 0 1\n"); - printf(" 1 0 0 5\n"); - printf(" 2 0 3 5\n"); - printf(" 3 3 0 1\n"); - printf(" 4 3 3 33\n"); - printf(" 5 1 1 1\n"); - printf(" 6 1 2 10\n"); - printf(" 7 2 1 1\n"); - printf(" 8 2 2 10\n"); - printf(" 9 0 1.5 5\n"); - printf(" 10 1.5 0 1\n"); - printf(" 11 3 1.5 1\n"); - printf(" 12 1.5 3 1\n"); - printf(" # Generated by triangle -pqc box.poly\n"); - printf("\n"); - printf(" Here is the output file `box.1.ele', with twelve triangles.\n"); - printf("\n"); - printf(" 12 3 0\n"); - printf(" 1 5 6 9\n"); - printf(" 2 10 3 7\n"); - printf(" 3 6 8 12\n"); - printf(" 4 9 1 5\n"); - printf(" 5 6 2 9\n"); - printf(" 6 7 3 11\n"); - printf(" 7 11 4 8\n"); - printf(" 8 7 5 10\n"); - printf(" 9 12 2 6\n"); - printf(" 10 8 7 11\n"); - printf(" 11 5 1 10\n"); - printf(" 12 8 4 12\n"); - printf(" # Generated by triangle -pqc box.poly\n\n"); - printf( -" Here is the output file `box.1.poly'. Note that segments have been added\n" -); - printf( -" to represent the convex hull, and some segments have been split by newly\n" -); - printf( -" added vertices. Note also that <# of vertices> is set to zero to\n"); - printf(" indicate that the vertices should be read from the .node file.\n"); - printf("\n"); - printf(" 0 2 0 1\n"); - printf(" 12 1\n"); - printf(" 1 1 9 5\n"); - printf(" 2 5 7 1\n"); - printf(" 3 8 7 1\n"); - printf(" 4 6 8 10\n"); - printf(" 5 5 6 1\n"); - printf(" 6 3 10 1\n"); - printf(" 7 4 11 1\n"); - printf(" 8 2 12 1\n"); - printf(" 9 9 2 5\n"); - printf(" 10 10 1 1\n"); - printf(" 11 11 3 1\n"); - printf(" 12 12 4 1\n"); - printf(" 1\n"); - printf(" 1 1.5 1.5\n"); - printf(" # Generated by triangle -pqc box.poly\n"); - printf("\n"); - printf("Refinement and Area Constraints:\n"); - printf("\n"); - printf( -" The -r switch causes a mesh (.node and .ele files) to be read and\n"); - printf( -" refined. If the -p switch is also used, a .poly file is read and used to\n" -); - printf( -" specify edges that are constrained and cannot be eliminated (although\n"); - printf( -" they can be divided into smaller edges) by the refinement process.\n"); - printf("\n"); - printf( -" When you refine a mesh, you generally want to impose tighter quality\n"); - printf( -" constraints. One way to accomplish this is to use -q with a larger\n"); - printf( -" angle, or -a followed by a smaller area than you used to generate the\n"); - printf( -" mesh you are refining. Another way to do this is to create an .area\n"); - printf( -" file, which specifies a maximum area for each triangle, and use the -a\n"); - printf( -" switch (without a number following). Each triangle's area constraint is\n" -); - printf( -" applied to that triangle. Area constraints tend to diffuse as the mesh\n"); - printf( -" is refined, so if there are large variations in area constraint between\n"); - printf(" adjacent triangles, you may not get the results you want.\n\n"); - printf( -" If you are refining a mesh composed of linear (three-node) elements, the\n" -); - printf( -" output mesh contains all the nodes present in the input mesh, in the same\n" -); - printf( -" order, with new nodes added at the end of the .node file. However, the\n"); - printf( -" refinement is not hierarchical: there is no guarantee that each output\n"); - printf( -" element is contained in a single input element. Often, output elements\n"); - printf( -" overlap two input elements, and some input edges are not present in the\n"); - printf( -" output mesh. Hence, a sequence of refined meshes forms a hierarchy of\n"); - printf( -" nodes, but not a hierarchy of elements. If you refine a mesh of higher-\n" -); - printf( -" order elements, the hierarchical property applies only to the nodes at\n"); - printf( -" the corners of an element; other nodes may not be present in the refined\n" -); - printf(" mesh.\n\n"); - printf( -" Maximum area constraints in .poly files operate differently from those in\n" -); - printf( -" .area files. A maximum area in a .poly file applies to the whole\n"); - printf( -" (segment-bounded) region in which a point falls, whereas a maximum area\n"); - printf( -" in an .area file applies to only one triangle. Area constraints in .poly\n" -); - printf( -" files are used only when a mesh is first generated, whereas area\n"); - printf( -" constraints in .area files are used only to refine an existing mesh, and\n" -); - printf( -" are typically based on a posteriori error estimates resulting from a\n"); - printf(" finite element simulation on that mesh.\n\n"); - printf( -" `triangle -rq25 object.1' reads object.1.node and object.1.ele, then\n"); - printf( -" refines the triangulation to enforce a 25 degree minimum angle, and then\n" -); - printf( -" writes the refined triangulation to object.2.node and object.2.ele.\n"); - printf("\n"); - printf( -" `triangle -rpaa6.2 z.3' reads z.3.node, z.3.ele, z.3.poly, and z.3.area.\n" -); - printf( -" After reconstructing the mesh and its subsegments, Triangle refines the\n"); - printf( -" mesh so that no triangle has area greater than 6.2, and furthermore the\n"); - printf( -" triangles satisfy the maximum area constraints in z.3.area. No angle\n"); - printf( -" bound is imposed at all. The output is written to z.4.node, z.4.ele, and\n" -); - printf(" z.4.poly.\n\n"); - printf( -" The sequence `triangle -qa1 x', `triangle -rqa.3 x.1', `triangle -rqa.1\n"); - printf( -" x.2' creates a sequence of successively finer meshes x.1, x.2, and x.3,\n"); - printf(" suitable for multigrid.\n\n"); - printf("Convex Hulls and Mesh Boundaries:\n\n"); - printf( -" If the input is a vertex set (rather than a PSLG), Triangle produces its\n" -); - printf( -" convex hull as a by-product in the output .poly file if you use the -c\n"); - printf( -" switch. There are faster algorithms for finding a two-dimensional convex\n" -); - printf( -" hull than triangulation, of course, but this one comes for free.\n"); - printf("\n"); - printf( -" If the input is an unconstrained mesh (you are using the -r switch but\n"); - printf( -" not the -p switch), Triangle produces a list of its boundary edges\n"); - printf( -" (including hole boundaries) as a by-product when you use the -c switch.\n"); - printf( -" If you also use the -p switch, the output .poly file contains all the\n"); - printf(" segments from the input .poly file as well.\n\n"); - printf("Voronoi Diagrams:\n\n"); - printf( -" The -v switch produces a Voronoi diagram, in files suffixed .v.node and\n"); - printf( -" .v.edge. For example, `triangle -v points' reads points.node, produces\n"); - printf( -" its Delaunay triangulation in points.1.node and points.1.ele, and\n"); - printf( -" produces its Voronoi diagram in points.1.v.node and points.1.v.edge. The\n" -); - printf( -" .v.node file contains a list of all Voronoi vertices, and the .v.edge\n"); - printf( -" file contains a list of all Voronoi edges, some of which may be infinite\n" -); - printf( -" rays. (The choice of filenames makes it easy to run the set of Voronoi\n"); - printf(" vertices through Triangle, if so desired.)\n\n"); - printf( -" This implementation does not use exact arithmetic to compute the Voronoi\n" -); - printf( -" vertices, and does not check whether neighboring vertices are identical.\n" -); - printf( -" Be forewarned that if the Delaunay triangulation is degenerate or\n"); - printf( -" near-degenerate, the Voronoi diagram may have duplicate vertices,\n"); - printf( -" crossing edges, or infinite rays whose direction vector is zero.\n"); - printf("\n"); - printf( -" The result is a valid Voronoi diagram only if Triangle's output is a true\n" -); - printf( -" Delaunay triangulation. The Voronoi output is usually meaningless (and\n"); - printf( -" may contain crossing edges and other pathology) if the output is a CDT or\n" -); - printf( -" CCDT, or if it has holes or concavities. If the triangulation is convex\n" -); - printf( -" and has no holes, this can be fixed by using the -L switch to ensure a\n"); - printf(" conforming Delaunay triangulation is constructed.\n\n"); - printf("Mesh Topology:\n\n"); - printf( -" You may wish to know which triangles are adjacent to a certain Delaunay\n"); - printf( -" edge in an .edge file, which Voronoi regions are adjacent to a certain\n"); - printf( -" Voronoi edge in a .v.edge file, or which Voronoi regions are adjacent to\n" -); - printf( -" each other. All of this information can be found by cross-referencing\n"); - printf( -" output files with the recollection that the Delaunay triangulation and\n"); - printf(" the Voronoi diagram are planar duals.\n\n"); - printf( -" Specifically, edge i of an .edge file is the dual of Voronoi edge i of\n"); - printf( -" the corresponding .v.edge file, and is rotated 90 degrees counterclock-\n"); - printf( -" wise from the Voronoi edge. Triangle j of an .ele file is the dual of\n"); - printf( -" vertex j of the corresponding .v.node file. Voronoi region k is the dual\n" -); - printf(" of vertex k of the corresponding .node file.\n\n"); - printf( -" Hence, to find the triangles adjacent to a Delaunay edge, look at the\n"); - printf( -" vertices of the corresponding Voronoi edge. If the endpoints of a\n"); - printf( -" Voronoi edge are Voronoi vertices 2 and 6 respectively, then triangles 2\n" -); - printf( -" and 6 adjoin the left and right sides of the corresponding Delaunay edge,\n" -); - printf( -" respectively. To find the Voronoi regions adjacent to a Voronoi edge,\n"); - printf( -" look at the endpoints of the corresponding Delaunay edge. If the\n"); - printf( -" endpoints of a Delaunay edge are input vertices 7 and 12, then Voronoi\n"); - printf( -" regions 7 and 12 adjoin the right and left sides of the corresponding\n"); - printf( -" Voronoi edge, respectively. To find which Voronoi regions are adjacent\n"); - printf(" to each other, just read the list of Delaunay edges.\n\n"); - printf( -" Triangle does not write a list of Voronoi regions, but one can be\n"); - printf( -" reconstructed straightforwardly. For instance, to find all the edges of\n" -); - printf( -" Voronoi region 1, search the output .edge file for every edge that has\n"); - printf( -" input vertex 1 as an endpoint. The corresponding dual edges in the\n"); - printf(" output .v.edge file form the boundary of Voronoi region 1.\n\n"); - printf("Quadratic Elements:\n\n"); - printf( -" Triangle generates meshes with subparametric quadratic elements if the\n"); - printf( -" -o2 switch is specified. Quadratic elements have six nodes per element,\n" -); - printf( -" rather than three. `Subparametric' means that the edges of the triangles\n" -); - printf( -" are always straight, so that subparametric quadratic elements are\n"); - printf( -" geometrically identical to linear elements, even though they can be used\n" -); - printf( -" with quadratic interpolating functions. The three extra nodes of an\n"); - printf( -" element fall at the midpoints of the three edges, with the fourth, fifth,\n" -); - printf( -" and sixth nodes appearing opposite the first, second, and third corners\n"); - printf(" respectively.\n\n"); - printf("Statistics:\n\n"); - printf( -" After generating a mesh, Triangle prints a count of the number of\n"); - printf( -" vertices, triangles, edges, exterior boundary edges (including hole\n"); - printf( -" boundaries), interior boundary edges, and segments in the output mesh.\n"); - printf( -" If you've forgotten the statistics for an existing mesh, run Triangle on\n" -); - printf( -" that mesh with the -rNEP switches to read the mesh and print the\n"); - printf( -" statistics without writing any files. Use -rpNEP if you've got a .poly\n"); - printf(" file for the mesh.\n\n"); - printf( -" The -V switch produces extended statistics, including a rough estimate\n"); - printf( -" of memory use, the number of calls to geometric predicates, and\n"); - printf(" histograms of triangle aspect ratios and angles in the mesh.\n\n"); - printf("Exact Arithmetic:\n\n"); - printf( -" Triangle uses adaptive exact arithmetic to perform what computational\n"); - printf( -" geometers call the `orientation' and `incircle' tests. If the floating-\n" -); - printf( -" point arithmetic of your machine conforms to the IEEE 754 standard (as\n"); - printf( -" most workstations do), and does not use extended precision internal\n"); - printf( -" floating-point registers, then your output is guaranteed to be an\n"); - printf( -" absolutely true Delaunay or constrained Delaunay triangulation, roundoff\n" -); - printf( -" error notwithstanding. The word `adaptive' implies that these arithmetic\n" -); - printf( -" routines compute the result only to the precision necessary to guarantee\n" -); - printf( -" correctness, so they are usually nearly as fast as their approximate\n"); - printf(" counterparts.\n\n"); - printf( -" Pentiums have extended precision floating-point registers. These must be\n" -); - printf( -" reconfigured so their precision is reduced to memory precision. Triangle\n" -); - printf( -" does this if it is compiled correctly. See the makefile for details.\n"); - printf("\n"); - printf( -" The exact tests can be disabled with the -X switch. On most inputs, this\n" -); - printf( -" switch reduces the computation time by about eight percent--it's not\n"); - printf( -" worth the risk. There are rare difficult inputs (having many collinear\n"); - printf( -" and cocircular vertices), however, for which the difference in speed\n"); - printf( -" could be a factor of two. Be forewarned that these are precisely the\n"); - printf( -" inputs most likely to cause errors if you use the -X switch. Hence, the\n" -); - printf(" -X switch is not recommended.\n\n"); - printf( -" Unfortunately, the exact tests don't solve every numerical problem.\n"); - printf( -" Exact arithmetic is not used to compute the positions of new vertices,\n"); - printf( -" because the bit complexity of vertex coordinates would grow without\n"); - printf( -" bound. Hence, segment intersections aren't computed exactly; in very\n"); - printf( -" unusual cases, roundoff error in computing an intersection point might\n"); - printf( -" actually lead to an inverted triangle and an invalid triangulation.\n"); - printf( -" (This is one reason to compute your own intersection points in your .poly\n" -); - printf( -" files.) Similarly, exact arithmetic is not used to compute the vertices\n" -); - printf(" of the Voronoi diagram.\n\n"); - printf( -" Another pair of problems not solved by the exact arithmetic routines is\n"); - printf( -" underflow and overflow. If Triangle is compiled for double precision\n"); - printf( -" arithmetic, I believe that Triangle's geometric predicates work correctly\n" -); - printf( -" if the exponent of every input coordinate falls in the range [-148, 201].\n" -); - printf( -" Underflow can silently prevent the orientation and incircle tests from\n"); - printf( -" being performed exactly, while overflow typically causes a floating\n"); - printf(" exception.\n\n"); - printf("Calling Triangle from Another Program:\n\n"); - printf(" Read the file triangle.h for details.\n\n"); - printf("Troubleshooting:\n\n"); - printf(" Please read this section before mailing me bugs.\n\n"); - printf(" `My output mesh has no triangles!'\n\n"); - printf( -" If you're using a PSLG, you've probably failed to specify a proper set\n" -); - printf( -" of bounding segments, or forgotten to use the -c switch. Or you may\n"); - printf( -" have placed a hole badly, thereby eating all your triangles. To test\n"); - printf(" these possibilities, try again with the -c and -O switches.\n"); - printf( -" Alternatively, all your input vertices may be collinear, in which case\n" -); - printf(" you can hardly expect to triangulate them.\n\n"); - printf(" `Triangle doesn't terminate, or just crashes.'\n\n"); - printf( -" Bad things can happen when triangles get so small that the distance\n"); - printf( -" between their vertices isn't much larger than the precision of your\n"); - printf( -" machine's arithmetic. If you've compiled Triangle for single-precision\n" -); - printf( -" arithmetic, you might do better by recompiling it for double-precision.\n" -); - printf( -" Then again, you might just have to settle for more lenient constraints\n" -); - printf( -" on the minimum angle and the maximum area than you had planned.\n"); - printf("\n"); - printf( -" You can minimize precision problems by ensuring that the origin lies\n"); - printf( -" inside your vertex set, or even inside the densest part of your\n"); - printf( -" mesh. If you're triangulating an object whose x coordinates all fall\n"); - printf( -" between 6247133 and 6247134, you're not leaving much floating-point\n"); - printf(" precision for Triangle to work with.\n\n"); - printf( -" Precision problems can occur covertly if the input PSLG contains two\n"); - printf( -" segments that meet (or intersect) at an extremely small angle, or if\n"); - printf( -" such an angle is introduced by the -c switch. If you don't realize\n"); - printf( -" that a tiny angle is being formed, you might never discover why\n"); - printf( -" Triangle is crashing. To check for this possibility, use the -S switch\n" -); - printf( -" (with an appropriate limit on the number of Steiner points, found by\n"); - printf( -" trial-and-error) to stop Triangle early, and view the output .poly file\n" -); - printf( -" with Show Me (described below). Look carefully for regions where dense\n" -); - printf( -" clusters of vertices are forming and for small angles between segments.\n" -); - printf( -" Zoom in closely, as such segments might look like a single segment from\n" -); - printf(" a distance.\n\n"); - printf( -" If some of the input values are too large, Triangle may suffer a\n"); - printf( -" floating exception due to overflow when attempting to perform an\n"); - printf( -" orientation or incircle test. (Read the section on exact arithmetic\n"); - printf( -" above.) Again, I recommend compiling Triangle for double (rather\n"); - printf(" than single) precision arithmetic.\n\n"); - printf( -" Unexpected problems can arise if you use quality meshing (-q, -a, or\n"); - printf( -" -u) with an input that is not segment-bounded--that is, if your input\n"); - printf( -" is a vertex set, or you're using the -c switch. If the convex hull of\n" -); - printf( -" your input vertices has collinear vertices on its boundary, an input\n"); - printf( -" vertex that you think lies on the convex hull might actually lie just\n"); - printf( -" inside the convex hull. If so, an extremely thin triangle is formed by\n" -); - printf( -" the vertex and the convex hull edge beside it. When Triangle tries to\n" -); - printf( -" refine the mesh to enforce angle and area constraints, extremely tiny\n"); - printf( -" triangles may be formed, or Triangle may fail because of insufficient\n"); - printf(" floating-point precision.\n\n"); - printf( -" `The numbering of the output vertices doesn't match the input vertices.'\n" -); - printf("\n"); - printf( -" You may have had duplicate input vertices, or you may have eaten some\n"); - printf( -" of your input vertices with a hole, or by placing them outside the area\n" -); - printf( -" enclosed by segments. In any case, you can solve the problem by not\n"); - printf(" using the -j switch.\n\n"); - printf( -" `Triangle executes without incident, but when I look at the resulting\n"); - printf( -" mesh, it has overlapping triangles or other geometric inconsistencies.'\n"); - printf("\n"); - printf( -" If you select the -X switch, Triangle occasionally makes mistakes due\n"); - printf( -" to floating-point roundoff error. Although these errors are rare,\n"); - printf( -" don't use the -X switch. If you still have problems, please report the\n" -); - printf(" bug.\n\n"); - printf( -" Strange things can happen if you've taken liberties with your PSLG. Do\n"); - printf( -" you have a vertex lying in the middle of a segment? Triangle sometimes\n"); - printf( -" copes poorly with that sort of thing. Do you want to lay out a collinear\n" -); - printf( -" row of evenly spaced, segment-connected vertices? Have you simply\n"); - printf( -" defined one long segment connecting the leftmost vertex to the rightmost\n" -); - printf( -" vertex, and a bunch of vertices lying along it? This method occasionally\n" -); - printf( -" works, especially with horizontal and vertical lines, but often it\n"); - printf( -" doesn't, and you'll have to connect each adjacent pair of vertices with a\n" -); - printf(" separate segment. If you don't like it, tough.\n\n"); - printf( -" Furthermore, if you have segments that intersect other than at their\n"); - printf( -" endpoints, try not to let the intersections fall extremely close to PSLG\n" -); - printf(" vertices or each other.\n\n"); - printf( -" If you have problems refining a triangulation not produced by Triangle:\n"); - printf( -" Are you sure the triangulation is geometrically valid? Is it formatted\n"); - printf( -" correctly for Triangle? Are the triangles all listed so the first three\n" -); - printf( -" vertices are their corners in counterclockwise order? Are all of the\n"); - printf( -" triangles constrained Delaunay? Triangle's Delaunay refinement algorithm\n" -); - printf(" assumes that it starts with a CDT.\n\n"); - printf("Show Me:\n\n"); - printf( -" Triangle comes with a separate program named `Show Me', whose primary\n"); - printf( -" purpose is to draw meshes on your screen or in PostScript. Its secondary\n" -); - printf( -" purpose is to check the validity of your input files, and do so more\n"); - printf( -" thoroughly than Triangle does. Unlike Triangle, Show Me requires that\n"); - printf(" you have the X Windows system.\n\n"); - printf("Triangle on the Web:\n\n"); - printf( -" To see an illustrated, updated version of these instructions, check out\n"); - printf("\n"); - printf(" http://www.cs.cmu.edu/~quake/triangle.html\n"); - printf("\n"); - printf("A Brief Plea:\n"); - printf("\n"); - printf( -" If you use Triangle, and especially if you use it to accomplish real\n"); - printf( -" work, I would like very much to hear from you. A short letter or email\n"); - printf( -" (to jrs@cs.berkeley.edu) describing how you use Triangle will mean a lot\n" -); - printf( -" to me. The more people I know are using this program, the more easily I\n" -); - printf( -" can justify spending time on improvements, which in turn will benefit\n"); - printf( -" you. Also, I can put you on a list to receive email whenever a new\n"); - printf(" version of Triangle is available.\n\n"); - printf( -" If you use a mesh generated by Triangle in a publication, please include\n" -); - printf(" an acknowledgment as well.\n\n"); - printf("Research credit:\n\n"); - printf( -" Of course, I can take credit for only a fraction of the ideas that made\n"); - printf( -" this mesh generator possible. Triangle owes its existence to the efforts\n" -); - printf( -" of many fine computational geometers and other researchers, including\n"); - printf( -" Marshall Bern, L. Paul Chew, Boris Delaunay, Rex A. Dwyer, David\n"); - printf( -" Eppstein, Steven Fortune, Leonidas J. Guibas, Donald E. Knuth, C. L.\n"); - printf( -" Lawson, Der-Tsai Lee, Ernst P. Mucke, Douglas M. Priest, Jim Ruppert,\n"); - printf( -" Isaac Saias, Bruce J. Schachter, Micha Sharir, Daniel D. Sleator, Jorge\n"); - printf( -" Stolfi, Robert E. Tarjan, Christopher J. Van Wyk, and Binhai Zhu. See\n"); - printf( -" the comments at the beginning of the source code for references.\n"); - exit(0); -} - -#endif /* not TRILIBRARY */ - -/*****************************************************************************/ -/* */ -/* internalerror() Ask the user to send me the defective product. Exit. */ -/* */ -/*****************************************************************************/ - -void internalerror() -{ - fflush(stdout); - fprintf(stderr, " Please report this bug to jrs@cs.berkeley.edu\n"); - fprintf(stderr, " Include the message above, your input data set, and the exact\n"); - fprintf(stderr, " command line you used to run Triangle.\n"); - exit(1); -} - -/*****************************************************************************/ -/* */ -/* parsecommandline() Read the command line, identify switches, and set */ -/* up options and file names. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void parsecommandline(int argc, char **argv, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void parsecommandline(argc, argv, b) -int argc; -char **argv; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ -#ifdef TRILIBRARY -#define STARTINDEX 0 -#else /* not TRILIBRARY */ -#define STARTINDEX 1 - int increment; - int meshnumber; -#endif /* not TRILIBRARY */ - int i, j, k; - char workstring[FILENAMESIZE]; - - b->poly = b->refine = b->quality = 0; - b->vararea = b->fixedarea = b->usertest = 0; - b->regionattrib = b->convex = b->weighted = b->jettison = 0; - b->firstnumber = 1; - b->edgesout = b->voronoi = b->neighbors = b->geomview = 0; - b->nobound = b->nopolywritten = b->nonodewritten = b->noelewritten = 0; - b->noiterationnum = 0; - b->noholes = b->noexact = 0; - b->incremental = b->sweepline = 0; - b->dwyer = 1; - b->splitseg = 0; - b->docheck = 0; - b->nobisect = 0; - b->nolenses = 0; - b->steiner = -1; - b->order = 1; - b->minangle = 0.0; - b->maxarea = -1.0; - b->quiet = b->verbose = 0; -#ifndef TRILIBRARY - b->innodefilename[0] = '\0'; -#endif /* not TRILIBRARY */ - - for (i = STARTINDEX; i < argc; i++) { -#ifndef TRILIBRARY - if (argv[i][0] == '-') { -#endif /* not TRILIBRARY */ - for (j = STARTINDEX; argv[i][j] != '\0'; j++) { - if (argv[i][j] == 'p') { - b->poly = 1; - } -#ifndef CDT_ONLY - if (argv[i][j] == 'r') { - b->refine = 1; - } - if (argv[i][j] == 'q') { - b->quality = 1; - if (((argv[i][j + 1] >= '0') && (argv[i][j + 1] <= '9')) || - (argv[i][j + 1] == '.')) { - k = 0; - while (((argv[i][j + 1] >= '0') && (argv[i][j + 1] <= '9')) || - (argv[i][j + 1] == '.')) { - j++; - workstring[k] = argv[i][j]; - k++; - } - workstring[k] = '\0'; - b->minangle = (REAL) strtod(workstring, (char **) NULL); - } else { - b->minangle = 20.0; - } - } - if (argv[i][j] == 'a') { - b->quality = 1; - if (((argv[i][j + 1] >= '0') && (argv[i][j + 1] <= '9')) || - (argv[i][j + 1] == '.')) { - b->fixedarea = 1; - k = 0; - while (((argv[i][j + 1] >= '0') && (argv[i][j + 1] <= '9')) || - (argv[i][j + 1] == '.')) { - j++; - workstring[k] = argv[i][j]; - k++; - } - workstring[k] = '\0'; - b->maxarea = (REAL) strtod(workstring, (char **) NULL); - if (b->maxarea <= 0.0) { - fprintf(stderr, "Error: Maximum area must be greater than zero.\n"); - exit(1); - } - } else { - b->vararea = 1; - } - } - if (argv[i][j] == 'u') { - b->quality = 1; - b->usertest = 1; - } -#endif /* not CDT_ONLY */ - if (argv[i][j] == 'A') { - b->regionattrib = 1; - } - if (argv[i][j] == 'c') { - b->convex = 1; - } - if (argv[i][j] == 'w') { - b->weighted = 1; - } - if (argv[i][j] == 'W') { - b->weighted = 2; - } - if (argv[i][j] == 'j') { - b->jettison = 1; - } - if (argv[i][j] == 'z') { - b->firstnumber = 0; - } - if (argv[i][j] == 'e') { - b->edgesout = 1; - } - if (argv[i][j] == 'v') { - b->voronoi = 1; - } - if (argv[i][j] == 'n') { - b->neighbors = 1; - } - if (argv[i][j] == 'g') { - b->geomview = 1; - } - if (argv[i][j] == 'B') { - b->nobound = 1; - } - if (argv[i][j] == 'P') { - b->nopolywritten = 1; - } - if (argv[i][j] == 'N') { - b->nonodewritten = 1; - } - if (argv[i][j] == 'E') { - b->noelewritten = 1; - } -#ifndef TRILIBRARY - if (argv[i][j] == 'I') { - b->noiterationnum = 1; - } -#endif /* not TRILIBRARY */ - if (argv[i][j] == 'O') { - b->noholes = 1; - } - if (argv[i][j] == 'X') { - b->noexact = 1; - } - if (argv[i][j] == 'o') { - if (argv[i][j + 1] == '2') { - j++; - b->order = 2; - } - } -#ifndef CDT_ONLY - if (argv[i][j] == 'Y') { - b->nobisect++; - } - if (argv[i][j] == 'S') { - b->steiner = 0; - while ((argv[i][j + 1] >= '0') && (argv[i][j + 1] <= '9')) { - j++; - b->steiner = b->steiner * 10 + (int) (argv[i][j] - '0'); - } - } -#endif /* not CDT_ONLY */ -#ifndef REDUCED - if (argv[i][j] == 'i') { - b->incremental = 1; - } - if (argv[i][j] == 'F') { - b->sweepline = 1; - } -#endif /* not REDUCED */ - if (argv[i][j] == 'l') { - b->dwyer = 0; - } -#ifndef REDUCED -#ifndef CDT_ONLY - if (argv[i][j] == 's') { - b->splitseg = 1; - } - if (argv[i][j] == 'L') { - b->nolenses = 1; - } -#endif /* not CDT_ONLY */ - if (argv[i][j] == 'C') { - b->docheck = 1; - } -#endif /* not REDUCED */ - if (argv[i][j] == 'Q') { - b->quiet = 1; - } - if (argv[i][j] == 'V') { - b->verbose++; - } -#ifndef TRILIBRARY - if ((argv[i][j] == 'h') || (argv[i][j] == 'H') || - (argv[i][j] == '?')) { - info(); - } -#endif /* not TRILIBRARY */ - } -#ifndef TRILIBRARY - } else { - strncpy(b->innodefilename, argv[i], FILENAMESIZE - 1); - b->innodefilename[FILENAMESIZE - 1] = '\0'; - } -#endif /* not TRILIBRARY */ - } -#ifndef TRILIBRARY - if (b->innodefilename[0] == '\0') { - syntax(); - } - if (!strcmp(&b->innodefilename[strlen(b->innodefilename) - 5], ".node")) { - b->innodefilename[strlen(b->innodefilename) - 5] = '\0'; - } - if (!strcmp(&b->innodefilename[strlen(b->innodefilename) - 5], ".poly")) { - b->innodefilename[strlen(b->innodefilename) - 5] = '\0'; - b->poly = 1; - } -#ifndef CDT_ONLY - if (!strcmp(&b->innodefilename[strlen(b->innodefilename) - 4], ".ele")) { - b->innodefilename[strlen(b->innodefilename) - 4] = '\0'; - b->refine = 1; - } - if (!strcmp(&b->innodefilename[strlen(b->innodefilename) - 5], ".area")) { - b->innodefilename[strlen(b->innodefilename) - 5] = '\0'; - b->refine = 1; - b->quality = 1; - b->vararea = 1; - } -#endif /* not CDT_ONLY */ -#endif /* not TRILIBRARY */ - b->usesegments = b->poly || b->refine || b->quality || b->convex; - b->goodangle = cos(b->minangle * PI / 180.0); - b->goodangle *= b->goodangle; - if (b->refine && b->noiterationnum) { - fprintf(stderr, - "Error: You cannot use the -I switch when refining a triangulation.\n"); - exit(1); - } - /* Be careful not to allocate space for element area constraints that */ - /* will never be assigned any value (other than the default -1.0). */ - if (!b->refine && !b->poly) { - b->vararea = 0; - } - /* Be careful not to add an extra attribute to each element unless the */ - /* input supports it (PSLG in, but not refining a preexisting mesh). */ - if (b->refine || !b->poly) { - b->regionattrib = 0; - } - /* Regular/weighted triangulations are incompatible with PSLGs */ - /* and meshing. */ - if (b->weighted && (b->poly || b->quality)) { - b->weighted = 0; - if (!b->quiet) { - fprintf(stderr, "Warning: weighted triangulations (-w, -W) are incompatible\n"); - fprintf(stderr, " with PSLGs (-p) and meshing (-q, -a, -u). Weights ignored.\n" - ); - } - } - if (b->jettison && b->nonodewritten && !b->quiet) { - fprintf(stderr, "Warning: -j and -N switches are somewhat incompatible.\n"); - fprintf(stderr, " If any vertices are jettisoned, you will need the output\n"); - fprintf(stderr, " .node file to reconstruct the new node indices."); - } - -#ifndef TRILIBRARY - strcpy(b->inpolyfilename, b->innodefilename); - strcpy(b->inelefilename, b->innodefilename); - strcpy(b->areafilename, b->innodefilename); - increment = 0; - strcpy(workstring, b->innodefilename); - j = 1; - while (workstring[j] != '\0') { - if ((workstring[j] == '.') && (workstring[j + 1] != '\0')) { - increment = j + 1; - } - j++; - } - meshnumber = 0; - if (increment > 0) { - j = increment; - do { - if ((workstring[j] >= '0') && (workstring[j] <= '9')) { - meshnumber = meshnumber * 10 + (int) (workstring[j] - '0'); - } else { - increment = 0; - } - j++; - } while (workstring[j] != '\0'); - } - if (b->noiterationnum) { - strcpy(b->outnodefilename, b->innodefilename); - strcpy(b->outelefilename, b->innodefilename); - strcpy(b->edgefilename, b->innodefilename); - strcpy(b->vnodefilename, b->innodefilename); - strcpy(b->vedgefilename, b->innodefilename); - strcpy(b->neighborfilename, b->innodefilename); - strcpy(b->offfilename, b->innodefilename); - strcat(b->outnodefilename, ".node"); - strcat(b->outelefilename, ".ele"); - strcat(b->edgefilename, ".edge"); - strcat(b->vnodefilename, ".v.node"); - strcat(b->vedgefilename, ".v.edge"); - strcat(b->neighborfilename, ".neigh"); - strcat(b->offfilename, ".off"); - } else if (increment == 0) { - strcpy(b->outnodefilename, b->innodefilename); - strcpy(b->outpolyfilename, b->innodefilename); - strcpy(b->outelefilename, b->innodefilename); - strcpy(b->edgefilename, b->innodefilename); - strcpy(b->vnodefilename, b->innodefilename); - strcpy(b->vedgefilename, b->innodefilename); - strcpy(b->neighborfilename, b->innodefilename); - strcpy(b->offfilename, b->innodefilename); - strcat(b->outnodefilename, ".1.node"); - strcat(b->outpolyfilename, ".1.poly"); - strcat(b->outelefilename, ".1.ele"); - strcat(b->edgefilename, ".1.edge"); - strcat(b->vnodefilename, ".1.v.node"); - strcat(b->vedgefilename, ".1.v.edge"); - strcat(b->neighborfilename, ".1.neigh"); - strcat(b->offfilename, ".1.off"); - } else { - workstring[increment] = '%'; - workstring[increment + 1] = 'd'; - workstring[increment + 2] = '\0'; - sprintf(b->outnodefilename, workstring, meshnumber + 1); - strcpy(b->outpolyfilename, b->outnodefilename); - strcpy(b->outelefilename, b->outnodefilename); - strcpy(b->edgefilename, b->outnodefilename); - strcpy(b->vnodefilename, b->outnodefilename); - strcpy(b->vedgefilename, b->outnodefilename); - strcpy(b->neighborfilename, b->outnodefilename); - strcpy(b->offfilename, b->outnodefilename); - strcat(b->outnodefilename, ".node"); - strcat(b->outpolyfilename, ".poly"); - strcat(b->outelefilename, ".ele"); - strcat(b->edgefilename, ".edge"); - strcat(b->vnodefilename, ".v.node"); - strcat(b->vedgefilename, ".v.edge"); - strcat(b->neighborfilename, ".neigh"); - strcat(b->offfilename, ".off"); - } - strcat(b->innodefilename, ".node"); - strcat(b->inpolyfilename, ".poly"); - strcat(b->inelefilename, ".ele"); - strcat(b->areafilename, ".area"); -#endif /* not TRILIBRARY */ -} - -/** **/ -/** **/ -/********* User interaction routines begin here *********/ - -/********* Debugging routines begin here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* printtriangle() Print out the details of an oriented triangle. */ -/* */ -/* I originally wrote this procedure to simplify debugging; it can be */ -/* called directly from the debugger, and presents information about an */ -/* oriented triangle in digestible form. It's also used when the */ -/* highest level of verbosity (`-VVV') is specified. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void printtriangle(struct mesh *m, struct behavior *b, struct otri *t) -#else /* not ANSI_DECLARATORS */ -void printtriangle(m, b, t) -struct mesh *m; -struct behavior *b; -struct otri *t; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri printtri; - struct osub printsh; - vertex printvertex; - - fprintf(stderr, "triangle x%lx with orientation %d:\n", (unsigned long) t->tri, - t->orient); - decode(t->tri[0], printtri); - if (printtri.tri == m->dummytri) { - fprintf(stderr, " [0] = Outer space\n"); - } else { - fprintf(stderr, " [0] = x%lx %d\n", (unsigned long) printtri.tri, - printtri.orient); - } - decode(t->tri[1], printtri); - if (printtri.tri == m->dummytri) { - fprintf(stderr, " [1] = Outer space\n"); - } else { - fprintf(stderr, " [1] = x%lx %d\n", (unsigned long) printtri.tri, - printtri.orient); - } - decode(t->tri[2], printtri); - if (printtri.tri == m->dummytri) { - fprintf(stderr, " [2] = Outer space\n"); - } else { - fprintf(stderr, " [2] = x%lx %d\n", (unsigned long) printtri.tri, - printtri.orient); - } - - org(*t, printvertex); - if (printvertex == (vertex) NULL) - fprintf(stderr, " Origin[%d] = NULL\n", (t->orient + 1) % 3 + 3); - else - fprintf(stderr, " Origin[%d] = x%lx (%.12g, %.12g)\n", - (t->orient + 1) % 3 + 3, (unsigned long) printvertex, - printvertex[0], printvertex[1]); - dest(*t, printvertex); - if (printvertex == (vertex) NULL) - fprintf(stderr, " Dest [%d] = NULL\n", (t->orient + 2) % 3 + 3); - else - fprintf(stderr, " Dest [%d] = x%lx (%.12g, %.12g)\n", - (t->orient + 2) % 3 + 3, (unsigned long) printvertex, - printvertex[0], printvertex[1]); - apex(*t, printvertex); - if (printvertex == (vertex) NULL) - fprintf(stderr, " Apex [%d] = NULL\n", t->orient + 3); - else - fprintf(stderr, " Apex [%d] = x%lx (%.12g, %.12g)\n", - t->orient + 3, (unsigned long) printvertex, - printvertex[0], printvertex[1]); - - if (b->usesegments) { - sdecode(t->tri[6], printsh); - if (printsh.ss != m->dummysub) { - fprintf(stderr, " [6] = x%lx %d\n", (unsigned long) printsh.ss, - printsh.ssorient); - } - sdecode(t->tri[7], printsh); - if (printsh.ss != m->dummysub) { - fprintf(stderr, " [7] = x%lx %d\n", (unsigned long) printsh.ss, - printsh.ssorient); - } - sdecode(t->tri[8], printsh); - if (printsh.ss != m->dummysub) { - fprintf(stderr, " [8] = x%lx %d\n", (unsigned long) printsh.ss, - printsh.ssorient); - } - } - - if (b->vararea) { - fprintf(stderr, " Area constraint: %.4g\n", areabound(*t)); - } -} - -/*****************************************************************************/ -/* */ -/* printsubseg() Print out the details of an oriented subsegment. */ -/* */ -/* I originally wrote this procedure to simplify debugging; it can be */ -/* called directly from the debugger, and presents information about an */ -/* oriented subsegment in digestible form. It's also used when the highest */ -/* level of verbosity (`-VVV') is specified. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void printsubseg(struct mesh *m, struct behavior *b, struct osub *s) -#else /* not ANSI_DECLARATORS */ -void printsubseg(m, b, s) -struct mesh *m; -struct behavior *b; -struct osub *s; -#endif /* not ANSI_DECLARATORS */ - -{ - struct osub printsh; - struct otri printtri; - vertex printvertex; - - fprintf(stderr, "subsegment x%lx with orientation %d and mark %d:\n", - (unsigned long) s->ss, s->ssorient, mark(*s)); - sdecode(s->ss[0], printsh); - if (printsh.ss == m->dummysub) { - fprintf(stderr, " [0] = No subsegment\n"); - } else { - fprintf(stderr, " [0] = x%lx %d\n", (unsigned long) printsh.ss, - printsh.ssorient); - } - sdecode(s->ss[1], printsh); - if (printsh.ss == m->dummysub) { - fprintf(stderr, " [1] = No subsegment\n"); - } else { - fprintf(stderr, " [1] = x%lx %d\n", (unsigned long) printsh.ss, - printsh.ssorient); - } - - sorg(*s, printvertex); - if (printvertex == (vertex) NULL) - fprintf(stderr, " Origin[%d] = NULL\n", 2 + s->ssorient); - else - fprintf(stderr, " Origin[%d] = x%lx (%.12g, %.12g)\n", - 2 + s->ssorient, (unsigned long) printvertex, - printvertex[0], printvertex[1]); - sdest(*s, printvertex); - if (printvertex == (vertex) NULL) - fprintf(stderr, " Dest [%d] = NULL\n", 3 - s->ssorient); - else - fprintf(stderr, " Dest [%d] = x%lx (%.12g, %.12g)\n", - 3 - s->ssorient, (unsigned long) printvertex, - printvertex[0], printvertex[1]); - - decode(s->ss[4], printtri); - if (printtri.tri == m->dummytri) { - fprintf(stderr, " [4] = Outer space\n"); - } else { - fprintf(stderr, " [4] = x%lx %d\n", (unsigned long) printtri.tri, - printtri.orient); - } - decode(s->ss[5], printtri); - if (printtri.tri == m->dummytri) { - fprintf(stderr, " [5] = Outer space\n"); - } else { - fprintf(stderr, " [5] = x%lx %d\n", (unsigned long) printtri.tri, - printtri.orient); - } -} - -/** **/ -/** **/ -/********* Debugging routines end here *********/ - -/********* Memory management routines begin here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* poolrestart() Deallocate all items in a pool. */ -/* */ -/* The pool is returned to its starting state, except that no memory is */ -/* freed to the operating system. Rather, the previously allocated blocks */ -/* are ready to be reused. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void poolrestart(struct memorypool *pool) -#else /* not ANSI_DECLARATORS */ -void poolrestart(pool) -struct memorypool *pool; -#endif /* not ANSI_DECLARATORS */ - -{ - unsigned long alignptr; - - pool->items = 0; - pool->maxitems = 0; - - /* Set the currently active block. */ - pool->nowblock = pool->firstblock; - /* Find the first item in the pool. Increment by the size of (VOID *). */ - alignptr = (unsigned long) (pool->nowblock + 1); - /* Align the item on an `alignbytes'-byte boundary. */ - pool->nextitem = (VOID *) - (alignptr + (unsigned long) pool->alignbytes - - (alignptr % (unsigned long) pool->alignbytes)); - /* There are lots of unallocated items left in this block. */ - pool->unallocateditems = pool->itemsperblock; - /* The stack of deallocated items is empty. */ - pool->deaditemstack = (VOID *) NULL; -} - -/*****************************************************************************/ -/* */ -/* poolinit() Initialize a pool of memory for allocation of items. */ -/* */ -/* This routine initializes the machinery for allocating items. A `pool' */ -/* is created whose records have size at least `bytecount'. Items will be */ -/* allocated in `itemcount'-item blocks. Each item is assumed to be a */ -/* collection of words, and either pointers or floating-point values are */ -/* assumed to be the "primary" word type. (The "primary" word type is used */ -/* to determine alignment of items.) If `alignment' isn't zero, all items */ -/* will be `alignment'-byte aligned in memory. `alignment' must be either */ -/* a multiple or a factor of the primary word size; powers of two are safe. */ -/* `alignment' is normally used to create a few unused bits at the bottom */ -/* of each item's pointer, in which information may be stored. */ -/* */ -/* Don't change this routine unless you understand it. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void poolinit(struct memorypool *pool, int bytecount, int itemcount, - enum wordtype wtype, int alignment) -#else /* not ANSI_DECLARATORS */ -void poolinit(pool, bytecount, itemcount, wtype, alignment) -struct memorypool *pool; -int bytecount; -int itemcount; -enum wordtype wtype; -int alignment; -#endif /* not ANSI_DECLARATORS */ - -{ - int wordsize; - - /* Initialize values in the pool. */ - pool->itemwordtype = wtype; - wordsize = (pool->itemwordtype == POINTER) ? sizeof(VOID *) : sizeof(REAL); - /* Find the proper alignment, which must be at least as large as: */ - /* - The parameter `alignment'. */ - /* - The primary word type, to avoid unaligned accesses. */ - /* - sizeof(VOID *), so the stack of dead items can be maintained */ - /* without unaligned accesses. */ - if (alignment > wordsize) { - pool->alignbytes = alignment; - } else { - pool->alignbytes = wordsize; - } - if (sizeof(VOID *) > pool->alignbytes) { - pool->alignbytes = sizeof(VOID *); - } - pool->itemwords = ((bytecount + pool->alignbytes - 1) / pool->alignbytes) - * (pool->alignbytes / wordsize); - pool->itembytes = pool->itemwords * wordsize; - pool->itemsperblock = itemcount; - - /* Allocate a block of items. Space for `itemsperblock' items and one */ - /* pointer (to point to the next block) are allocated, as well as space */ - /* to ensure alignment of the items. */ - pool->firstblock = (VOID **) trimalloc(pool->itemsperblock * pool->itembytes - + sizeof(VOID *) + pool->alignbytes); - /* Set the next block pointer to NULL. */ - *(pool->firstblock) = (VOID *) NULL; - poolrestart(pool); -} - -/*****************************************************************************/ -/* */ -/* pooldeinit() Free to the operating system all memory taken by a pool. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void pooldeinit(struct memorypool *pool) -#else /* not ANSI_DECLARATORS */ -void pooldeinit(pool) -struct memorypool *pool; -#endif /* not ANSI_DECLARATORS */ - -{ - while (pool->firstblock != (VOID **) NULL) { - pool->nowblock = (VOID **) *(pool->firstblock); - trifree((VOID *) pool->firstblock); - pool->firstblock = pool->nowblock; - } -} - -/*****************************************************************************/ -/* */ -/* poolalloc() Allocate space for an item. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -VOID *poolalloc(struct memorypool *pool) -#else /* not ANSI_DECLARATORS */ -VOID *poolalloc(pool) -struct memorypool *pool; -#endif /* not ANSI_DECLARATORS */ - -{ - VOID *newitem; - VOID **newblock; - unsigned long alignptr; - - /* First check the linked list of dead items. If the list is not */ - /* empty, allocate an item from the list rather than a fresh one. */ - if (pool->deaditemstack != (VOID *) NULL) { - newitem = pool->deaditemstack; /* Take first item in list. */ - pool->deaditemstack = * (VOID **) pool->deaditemstack; - } else { - /* Check if there are any free items left in the current block. */ - if (pool->unallocateditems == 0) { - /* Check if another block must be allocated. */ - if (*(pool->nowblock) == (VOID *) NULL) { - /* Allocate a new block of items, pointed to by the previous block. */ - newblock = (VOID **) trimalloc(pool->itemsperblock * pool->itembytes + - sizeof(VOID *) + pool->alignbytes); - *(pool->nowblock) = (VOID *) newblock; - /* The next block pointer is NULL. */ - *newblock = (VOID *) NULL; - } - /* Move to the new block. */ - pool->nowblock = (VOID **) *(pool->nowblock); - /* Find the first item in the block. */ - /* Increment by the size of (VOID *). */ - alignptr = (unsigned long) (pool->nowblock + 1); - /* Align the item on an `alignbytes'-byte boundary. */ - pool->nextitem = (VOID *) - (alignptr + (unsigned long) pool->alignbytes - - (alignptr % (unsigned long) pool->alignbytes)); - /* There are lots of unallocated items left in this block. */ - pool->unallocateditems = pool->itemsperblock; - } - /* Allocate a new item. */ - newitem = pool->nextitem; - /* Advance `nextitem' pointer to next free item in block. */ - if (pool->itemwordtype == POINTER) { - pool->nextitem = (VOID *) ((VOID **) pool->nextitem + pool->itemwords); - } else { - pool->nextitem = (VOID *) ((REAL *) pool->nextitem + pool->itemwords); - } - pool->unallocateditems--; - pool->maxitems++; - } - pool->items++; - return newitem; -} - -/*****************************************************************************/ -/* */ -/* pooldealloc() Deallocate space for an item. */ -/* */ -/* The deallocated space is stored in a queue for later reuse. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void pooldealloc(struct memorypool *pool, VOID *dyingitem) -#else /* not ANSI_DECLARATORS */ -void pooldealloc(pool, dyingitem) -struct memorypool *pool; -VOID *dyingitem; -#endif /* not ANSI_DECLARATORS */ - -{ - /* Push freshly killed item onto stack. */ - *((VOID **) dyingitem) = pool->deaditemstack; - pool->deaditemstack = dyingitem; - pool->items--; -} - -/*****************************************************************************/ -/* */ -/* traversalinit() Prepare to traverse the entire list of items. */ -/* */ -/* This routine is used in conjunction with traverse(). */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void traversalinit(struct memorypool *pool) -#else /* not ANSI_DECLARATORS */ -void traversalinit(pool) -struct memorypool *pool; -#endif /* not ANSI_DECLARATORS */ - -{ - unsigned long alignptr; - - /* Begin the traversal in the first block. */ - pool->pathblock = pool->firstblock; - /* Find the first item in the block. Increment by the size of (VOID *). */ - alignptr = (unsigned long) (pool->pathblock + 1); - /* Align with item on an `alignbytes'-byte boundary. */ - pool->pathitem = (VOID *) - (alignptr + (unsigned long) pool->alignbytes - - (alignptr % (unsigned long) pool->alignbytes)); - /* Set the number of items left in the current block. */ - pool->pathitemsleft = pool->itemsperblock; -} - -/*****************************************************************************/ -/* */ -/* traverse() Find the next item in the list. */ -/* */ -/* This routine is used in conjunction with traversalinit(). Be forewarned */ -/* that this routine successively returns all items in the list, including */ -/* deallocated ones on the deaditemqueue. It's up to you to figure out */ -/* which ones are actually dead. Why? I don't want to allocate extra */ -/* space just to demarcate dead items. It can usually be done more */ -/* space-efficiently by a routine that knows something about the structure */ -/* of the item. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -VOID *traverse(struct memorypool *pool) -#else /* not ANSI_DECLARATORS */ -VOID *traverse(pool) -struct memorypool *pool; -#endif /* not ANSI_DECLARATORS */ - -{ - VOID *newitem; - unsigned long alignptr; - - /* Stop upon exhausting the list of items. */ - if (pool->pathitem == pool->nextitem) { - return (VOID *) NULL; - } - /* Check whether any untraversed items remain in the current block. */ - if (pool->pathitemsleft == 0) { - /* Find the next block. */ - pool->pathblock = (VOID **) *(pool->pathblock); - /* Find the first item in the block. Increment by the size of (VOID *). */ - alignptr = (unsigned long) (pool->pathblock + 1); - /* Align with item on an `alignbytes'-byte boundary. */ - pool->pathitem = (VOID *) - (alignptr + (unsigned long) pool->alignbytes - - (alignptr % (unsigned long) pool->alignbytes)); - /* Set the number of items left in the current block. */ - pool->pathitemsleft = pool->itemsperblock; - } - newitem = pool->pathitem; - /* Find the next item in the block. */ - if (pool->itemwordtype == POINTER) { - pool->pathitem = (VOID *) ((VOID **) pool->pathitem + pool->itemwords); - } else { - pool->pathitem = (VOID *) ((REAL *) pool->pathitem + pool->itemwords); - } - pool->pathitemsleft--; - return newitem; -} - -/*****************************************************************************/ -/* */ -/* dummyinit() Initialize the triangle that fills "outer space" and the */ -/* omnipresent subsegment. */ -/* */ -/* The triangle that fills "outer space," called `dummytri', is pointed to */ -/* by every triangle and subsegment on a boundary (be it outer or inner) of */ -/* the triangulation. Also, `dummytri' points to one of the triangles on */ -/* the convex hull (until the holes and concavities are carved), making it */ -/* possible to find a starting triangle for point location. */ -/* */ -/* The omnipresent subsegment, `dummysub', is pointed to by every triangle */ -/* or subsegment that doesn't have a full complement of real subsegments */ -/* to point to. */ -/* */ -/* `dummytri' and `dummysub' are generally required to fulfill only a few */ -/* invariants: their vertices must remain NULL and `dummytri' must always */ -/* be bonded (at offset zero) to some triangle on the convex hull of the */ -/* mesh, via a boundary edge. Otherwise, the connections of `dummytri' and */ -/* `dummysub' may change willy-nilly. This makes it possible to avoid */ -/* writing a good deal of special-case code (in the edge flip, for example) */ -/* for dealing with the boundary of the mesh, places where no subsegment is */ -/* present, and so forth. Other entities are frequently bonded to */ -/* `dummytri' and `dummysub' as if they were real mesh entities, with no */ -/* harm done. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void dummyinit(struct mesh *m, struct behavior *b, int trianglewords, - int subsegwords) -#else /* not ANSI_DECLARATORS */ -void dummyinit(m, b, trianglewords, subsegwords) -struct mesh *m; -struct behavior *b; -int trianglewords; -int subsegwords; -#endif /* not ANSI_DECLARATORS */ - -{ - unsigned long alignptr; - - /* Set up `dummytri', the `triangle' that occupies "outer space." */ - m->dummytribase = (triangle *) trimalloc(trianglewords * sizeof(triangle) + - m->triangles.alignbytes); - /* Align `dummytri' on a `triangles.alignbytes'-byte boundary. */ - alignptr = (unsigned long) m->dummytribase; - m->dummytri = (triangle *) - (alignptr + (unsigned long) m->triangles.alignbytes - - (alignptr % (unsigned long) m->triangles.alignbytes)); - /* Initialize the three adjoining triangles to be "outer space." These */ - /* will eventually be changed by various bonding operations, but their */ - /* values don't really matter, as long as they can legally be */ - /* dereferenced. */ - m->dummytri[0] = (triangle) m->dummytri; - m->dummytri[1] = (triangle) m->dummytri; - m->dummytri[2] = (triangle) m->dummytri; - /* Three NULL vertices. */ - m->dummytri[3] = (triangle) NULL; - m->dummytri[4] = (triangle) NULL; - m->dummytri[5] = (triangle) NULL; - - if (b->usesegments) { - /* Set up `dummysub', the omnipresent subsegment pointed to by any */ - /* triangle side or subsegment end that isn't attached to a real */ - /* subsegment. */ - m->dummysubbase = (subseg *) trimalloc(subsegwords * sizeof(subseg) + - m->subsegs.alignbytes); - /* Align `dummysub' on a `subsegs.alignbytes'-byte boundary. */ - alignptr = (unsigned long) m->dummysubbase; - m->dummysub = (subseg *) - (alignptr + (unsigned long) m->subsegs.alignbytes - - (alignptr % (unsigned long) m->subsegs.alignbytes)); - /* Initialize the two adjoining subsegments to be the omnipresent */ - /* subsegment. These will eventually be changed by various bonding */ - /* operations, but their values don't really matter, as long as they */ - /* can legally be dereferenced. */ - m->dummysub[0] = (subseg) m->dummysub; - m->dummysub[1] = (subseg) m->dummysub; - /* Two NULL vertices. */ - m->dummysub[2] = (subseg) NULL; - m->dummysub[3] = (subseg) NULL; - /* Initialize the two adjoining triangles to be "outer space." */ - m->dummysub[4] = (subseg) m->dummytri; - m->dummysub[5] = (subseg) m->dummytri; - /* Set the boundary marker to zero. */ - * (int *) (m->dummysub + 6) = 0; - - /* Initialize the three adjoining subsegments of `dummytri' to be */ - /* the omnipresent subsegment. */ - m->dummytri[6] = (triangle) m->dummysub; - m->dummytri[7] = (triangle) m->dummysub; - m->dummytri[8] = (triangle) m->dummysub; - } -} - -/*****************************************************************************/ -/* */ -/* initializevertexpool() Calculate the size of the vertex data structure */ -/* and initialize its memory pool. */ -/* */ -/* This routine also computes the `vertexmarkindex' and `vertex2triindex' */ -/* indices used to find values within each vertex. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void initializevertexpool(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void initializevertexpool(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - int vertexsize; - - /* The index within each vertex at which the boundary marker is found, */ - /* followed by the vertex type. Ensure the vertex marker is aligned to */ - /* a sizeof(int)-byte address. */ - m->vertexmarkindex = ((m->mesh_dim + m->nextras) * sizeof(REAL) + - sizeof(int) - 1) / - sizeof(int); - vertexsize = (m->vertexmarkindex + 2) * sizeof(int); - if (b->poly) { - /* The index within each vertex at which a triangle pointer is found. */ - /* Ensure the pointer is aligned to a sizeof(triangle)-byte address. */ - m->vertex2triindex = (vertexsize + sizeof(triangle) - 1) / - sizeof(triangle); - vertexsize = (m->vertex2triindex + 1) * sizeof(triangle); - } - /* Initialize the pool of vertices. */ - poolinit(&m->vertices, vertexsize, VERTEXPERBLOCK, - (sizeof(REAL) >= sizeof(triangle)) ? FLOATINGPOINT : POINTER, 0); -} - -/*****************************************************************************/ -/* */ -/* initializetrisubpools() Calculate the sizes of the triangle and */ -/* subsegment data structures and initialize */ -/* their memory pools. */ -/* */ -/* This routine also computes the `highorderindex', `elemattribindex', and */ -/* `areaboundindex' indices used to find values within each triangle. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void initializetrisubpools(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void initializetrisubpools(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - int trisize; - - /* The index within each triangle at which the extra nodes (above three) */ - /* associated with high order elements are found. There are three */ - /* pointers to other triangles, three pointers to corners, and possibly */ - /* three pointers to subsegments before the extra nodes. */ - m->highorderindex = 6 + (b->usesegments * 3); - /* The number of bytes occupied by a triangle. */ - trisize = ((b->order + 1) * (b->order + 2) / 2 + (m->highorderindex - 3)) * - sizeof(triangle); - /* The index within each triangle at which its attributes are found, */ - /* where the index is measured in REALs. */ - m->elemattribindex = (trisize + sizeof(REAL) - 1) / sizeof(REAL); - /* The index within each triangle at which the maximum area constraint */ - /* is found, where the index is measured in REALs. Note that if the */ - /* `regionattrib' flag is set, an additional attribute will be added. */ - m->areaboundindex = m->elemattribindex + m->eextras + b->regionattrib; - /* If triangle attributes or an area bound are needed, increase the number */ - /* of bytes occupied by a triangle. */ - if (b->vararea) { - trisize = (m->areaboundindex + 1) * sizeof(REAL); - } else if (m->eextras + b->regionattrib > 0) { - trisize = m->areaboundindex * sizeof(REAL); - } - /* If a Voronoi diagram or triangle neighbor graph is requested, make */ - /* sure there's room to store an integer index in each triangle. This */ - /* integer index can occupy the same space as the subsegment pointers */ - /* or attributes or area constraint or extra nodes. */ - if ((b->voronoi || b->neighbors) && - (trisize < 6 * sizeof(triangle) + sizeof(int))) { - trisize = 6 * sizeof(triangle) + sizeof(int); - } - /* Having determined the memory size of a triangle, initialize the pool. */ - poolinit(&m->triangles, trisize, TRIPERBLOCK, POINTER, 4); - - if (b->usesegments) { - /* Initialize the pool of subsegments. Take into account all six */ - /* pointers and one boundary marker. */ - poolinit(&m->subsegs, 6 * sizeof(triangle) + sizeof(int), SUBSEGPERBLOCK, - POINTER, 4); - - /* Initialize the "outer space" triangle and omnipresent subsegment. */ - dummyinit(m, b, m->triangles.itemwords, m->subsegs.itemwords); - } else { - /* Initialize the "outer space" triangle. */ - dummyinit(m, b, m->triangles.itemwords, 0); - } -} - -/*****************************************************************************/ -/* */ -/* triangledealloc() Deallocate space for a triangle, marking it dead. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void triangledealloc(struct mesh *m, triangle *dyingtriangle) -#else /* not ANSI_DECLARATORS */ -void triangledealloc(m, dyingtriangle) -struct mesh *m; -triangle *dyingtriangle; -#endif /* not ANSI_DECLARATORS */ - -{ - /* Mark the triangle as dead. This makes it possible to detect dead */ - /* triangles when traversing the list of all triangles. */ - killtri(dyingtriangle); - pooldealloc(&m->triangles, (VOID *) dyingtriangle); -} - -/*****************************************************************************/ -/* */ -/* triangletraverse() Traverse the triangles, skipping dead ones. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -triangle *triangletraverse(struct mesh *m) -#else /* not ANSI_DECLARATORS */ -triangle *triangletraverse(m) -struct mesh *m; -#endif /* not ANSI_DECLARATORS */ - -{ - triangle *newtriangle; - - do { - newtriangle = (triangle *) traverse(&m->triangles); - if (newtriangle == (triangle *) NULL) { - return (triangle *) NULL; - } - } while (deadtri(newtriangle)); /* Skip dead ones. */ - return newtriangle; -} - -/*****************************************************************************/ -/* */ -/* subsegdealloc() Deallocate space for a subsegment, marking it dead. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void subsegdealloc(struct mesh *m, subseg *dyingsubseg) -#else /* not ANSI_DECLARATORS */ -void subsegdealloc(m, dyingsubseg) -struct mesh *m; -subseg *dyingsubseg; -#endif /* not ANSI_DECLARATORS */ - -{ - /* Mark the subsegment as dead. This makes it possible to detect dead */ - /* subsegments when traversing the list of all subsegments. */ - killsubseg(dyingsubseg); - pooldealloc(&m->subsegs, (VOID *) dyingsubseg); -} - -/*****************************************************************************/ -/* */ -/* subsegtraverse() Traverse the subsegments, skipping dead ones. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -subseg *subsegtraverse(struct mesh *m) -#else /* not ANSI_DECLARATORS */ -subseg *subsegtraverse(m) -struct mesh *m; -#endif /* not ANSI_DECLARATORS */ - -{ - subseg *newsubseg; - - do { - newsubseg = (subseg *) traverse(&m->subsegs); - if (newsubseg == (subseg *) NULL) { - return (subseg *) NULL; - } - } while (deadsubseg(newsubseg)); /* Skip dead ones. */ - return newsubseg; -} - -/*****************************************************************************/ -/* */ -/* vertexdealloc() Deallocate space for a vertex, marking it dead. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void vertexdealloc(struct mesh *m, vertex dyingvertex) -#else /* not ANSI_DECLARATORS */ -void vertexdealloc(m, dyingvertex) -struct mesh *m; -vertex dyingvertex; -#endif /* not ANSI_DECLARATORS */ - -{ - /* Mark the vertex as dead. This makes it possible to detect dead */ - /* vertices when traversing the list of all vertices. */ - setvertextype(dyingvertex, DEADVERTEX); - pooldealloc(&m->vertices, (VOID *) dyingvertex); -} - -/*****************************************************************************/ -/* */ -/* vertextraverse() Traverse the vertices, skipping dead ones. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -vertex vertextraverse(struct mesh *m) -#else /* not ANSI_DECLARATORS */ -vertex vertextraverse(m) -struct mesh *m; -#endif /* not ANSI_DECLARATORS */ - -{ - vertex newvertex; - - do { - newvertex = (vertex) traverse(&m->vertices); - if (newvertex == (vertex) NULL) { - return (vertex) NULL; - } - } while (vertextype(newvertex) == DEADVERTEX); /* Skip dead ones. */ - return newvertex; -} - -/*****************************************************************************/ -/* */ -/* badsubsegdealloc() Deallocate space for a bad subsegment, marking it */ -/* dead. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -void badsubsegdealloc(struct mesh *m, struct badsubseg *dyingseg) -#else /* not ANSI_DECLARATORS */ -void badsubsegdealloc(m, dyingseg) -struct mesh *m; -struct badsubseg *dyingseg; -#endif /* not ANSI_DECLARATORS */ - -{ - /* Set subsegment's origin to NULL. This makes it possible to detect dead */ - /* subsegments when traversing the list of all encroached subsegments. */ - dyingseg->subsegorg = (vertex) NULL; - pooldealloc(&m->badsubsegs, (VOID *) dyingseg); -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* badsubsegtraverse() Traverse the bad subsegments, skipping dead ones. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -struct badsubseg *badsubsegtraverse(struct mesh *m) -#else /* not ANSI_DECLARATORS */ -struct badsubseg *badsubsegtraverse(m) -struct mesh *m; -#endif /* not ANSI_DECLARATORS */ - -{ - struct badsubseg *newseg; - - do { - newseg = (struct badsubseg *) traverse(&m->badsubsegs); - if (newseg == (struct badsubseg *) NULL) { - return (struct badsubseg *) NULL; - } - } while (newseg->subsegorg == (vertex) NULL); /* Skip dead ones. */ - return newseg; -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* getvertex() Get a specific vertex, by number, from the list. */ -/* */ -/* The first vertex is number 'firstnumber'. */ -/* */ -/* Note that this takes O(n) time (with a small constant, if VERTEXPERBLOCK */ -/* is large). I don't care to take the trouble to make it work in constant */ -/* time. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -vertex getvertex(struct mesh *m, struct behavior *b, int number) -#else /* not ANSI_DECLARATORS */ -vertex getvertex(m, b, number) -struct mesh *m; -struct behavior *b; -int number; -#endif /* not ANSI_DECLARATORS */ - -{ - VOID **getblock; - vertex foundvertex; - unsigned long alignptr; - int current; - - getblock = m->vertices.firstblock; - current = b->firstnumber; - /* Find the right block. */ - while (current + m->vertices.itemsperblock <= number) { - getblock = (VOID **) *getblock; - current += m->vertices.itemsperblock; - } - /* Now find the right vertex. */ - alignptr = (unsigned long) (getblock + 1); - foundvertex = (vertex) (alignptr + (unsigned long) m->vertices.alignbytes - - (alignptr % (unsigned long) m->vertices.alignbytes)); - while (current < number) { - foundvertex += m->vertices.itemwords; - current++; - } - return foundvertex; -} - -/*****************************************************************************/ -/* */ -/* triangledeinit() Free all remaining allocated memory. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void triangledeinit(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void triangledeinit(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - pooldeinit(&m->triangles); - trifree((VOID *) m->dummytribase); - if (b->usesegments) { - pooldeinit(&m->subsegs); - trifree((VOID *) m->dummysubbase); - } - pooldeinit(&m->vertices); -#ifndef CDT_ONLY - if (b->quality) { - pooldeinit(&m->badsubsegs); - if ((b->minangle > 0.0) || b->vararea || b->fixedarea || b->usertest) { - pooldeinit(&m->badtriangles); - pooldeinit(&m->flipstackers); - } - } -#endif /* not CDT_ONLY */ -} - -/** **/ -/** **/ -/********* Memory management routines end here *********/ - -/********* Constructors begin here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* maketriangle() Create a new triangle with orientation zero. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void maketriangle(struct mesh *m, struct behavior *b, struct otri *newotri) -#else /* not ANSI_DECLARATORS */ -void maketriangle(m, b, newotri) -struct mesh *m; -struct behavior *b; -struct otri *newotri; -#endif /* not ANSI_DECLARATORS */ - -{ - int i; - - newotri->tri = (triangle *) poolalloc(&m->triangles); - /* Initialize the three adjoining triangles to be "outer space". */ - newotri->tri[0] = (triangle) m->dummytri; - newotri->tri[1] = (triangle) m->dummytri; - newotri->tri[2] = (triangle) m->dummytri; - /* Three NULL vertices. */ - newotri->tri[3] = (triangle) NULL; - newotri->tri[4] = (triangle) NULL; - newotri->tri[5] = (triangle) NULL; - if (b->usesegments) { - /* Initialize the three adjoining subsegments to be the omnipresent */ - /* subsegment. */ - newotri->tri[6] = (triangle) m->dummysub; - newotri->tri[7] = (triangle) m->dummysub; - newotri->tri[8] = (triangle) m->dummysub; - } - for (i = 0; i < m->eextras; i++) { - setelemattribute(*newotri, i, 0.0); - } - if (b->vararea) { - setareabound(*newotri, -1.0); - } - - newotri->orient = 0; -} - -/*****************************************************************************/ -/* */ -/* makesubseg() Create a new subsegment with orientation zero. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void makesubseg(struct mesh *m, struct osub *newsubseg) -#else /* not ANSI_DECLARATORS */ -void makesubseg(m, newsubseg) -struct mesh *m; -struct osub *newsubseg; -#endif /* not ANSI_DECLARATORS */ - -{ - newsubseg->ss = (subseg *) poolalloc(&m->subsegs); - /* Initialize the two adjoining subsegments to be the omnipresent */ - /* subsegment. */ - newsubseg->ss[0] = (subseg) m->dummysub; - newsubseg->ss[1] = (subseg) m->dummysub; - /* Two NULL vertices. */ - newsubseg->ss[2] = (subseg) NULL; - newsubseg->ss[3] = (subseg) NULL; - /* Initialize the two adjoining triangles to be "outer space." */ - newsubseg->ss[4] = (subseg) m->dummytri; - newsubseg->ss[5] = (subseg) m->dummytri; - /* Set the boundary marker to zero. */ - setmark(*newsubseg, 0); - - newsubseg->ssorient = 0; -} - -/** **/ -/** **/ -/********* Constructors end here *********/ - -/********* Geometric primitives begin here *********/ -/** **/ -/** **/ - -/* The adaptive exact arithmetic geometric predicates implemented herein are */ -/* described in detail in my paper, "Adaptive Precision Floating-Point */ -/* Arithmetic and Fast Robust Geometric Predicates." See the header for a */ -/* full citation. */ - -/* Which of the following two methods of finding the absolute values is */ -/* fastest is compiler-dependent. A few compilers can inline and optimize */ -/* the fabs() call; but most will incur the overhead of a function call, */ -/* which is disastrously slow. A faster way on IEEE machines might be to */ -/* mask the appropriate bit, but that's difficult to do in C without */ -/* forcing the value to be stored to memory (rather than be kept in the */ -/* register to which the optimizer assigned it). */ - -#define Absolute(a) ((a) >= 0.0 ? (a) : -(a)) -/* #define Absolute(a) fabs(a) */ - -/* Many of the operations are broken up into two pieces, a main part that */ -/* performs an approximate operation, and a "tail" that computes the */ -/* roundoff error of that operation. */ -/* */ -/* The operations Fast_Two_Sum(), Fast_Two_Diff(), Two_Sum(), Two_Diff(), */ -/* Split(), and Two_Product() are all implemented as described in the */ -/* reference. Each of these macros requires certain variables to be */ -/* defined in the calling routine. The variables `bvirt', `c', `abig', */ -/* `_i', `_j', `_k', `_l', `_m', and `_n' are declared `INEXACT' because */ -/* they store the result of an operation that may incur roundoff error. */ -/* The input parameter `x' (or the highest numbered `x_' parameter) must */ -/* also be declared `INEXACT'. */ - -#define Fast_Two_Sum_Tail(a, b, x, y) \ - bvirt = x - a; \ - y = b - bvirt - -#define Fast_Two_Sum(a, b, x, y) \ - x = (REAL) (a + b); \ - Fast_Two_Sum_Tail(a, b, x, y) - -#define Two_Sum_Tail(a, b, x, y) \ - bvirt = (REAL) (x - a); \ - avirt = x - bvirt; \ - bround = b - bvirt; \ - around = a - avirt; \ - y = around + bround - -#define Two_Sum(a, b, x, y) \ - x = (REAL) (a + b); \ - Two_Sum_Tail(a, b, x, y) - -#define Two_Diff_Tail(a, b, x, y) \ - bvirt = (REAL) (a - x); \ - avirt = x + bvirt; \ - bround = bvirt - b; \ - around = a - avirt; \ - y = around + bround - -#define Two_Diff(a, b, x, y) \ - x = (REAL) (a - b); \ - Two_Diff_Tail(a, b, x, y) - -#define Split(a, ahi, alo) \ - c = (REAL) (splitter * a); \ - abig = (REAL) (c - a); \ - ahi = c - abig; \ - alo = a - ahi - -#define Two_Product_Tail(a, b, x, y) \ - Split(a, ahi, alo); \ - Split(b, bhi, blo); \ - err1 = x - (ahi * bhi); \ - err2 = err1 - (alo * bhi); \ - err3 = err2 - (ahi * blo); \ - y = (alo * blo) - err3 - -#define Two_Product(a, b, x, y) \ - x = (REAL) (a * b); \ - Two_Product_Tail(a, b, x, y) - -/* Two_Product_Presplit() is Two_Product() where one of the inputs has */ -/* already been split. Avoids redundant splitting. */ - -#define Two_Product_Presplit(a, b, bhi, blo, x, y) \ - x = (REAL) (a * b); \ - Split(a, ahi, alo); \ - err1 = x - (ahi * bhi); \ - err2 = err1 - (alo * bhi); \ - err3 = err2 - (ahi * blo); \ - y = (alo * blo) - err3 - -/* Square() can be done more quickly than Two_Product(). */ - -#define Square_Tail(a, x, y) \ - Split(a, ahi, alo); \ - err1 = x - (ahi * ahi); \ - err3 = err1 - ((ahi + ahi) * alo); \ - y = (alo * alo) - err3 - -#define Square(a, x, y) \ - x = (REAL) (a * a); \ - Square_Tail(a, x, y) - -/* Macros for summing expansions of various fixed lengths. These are all */ -/* unrolled versions of Expansion_Sum(). */ - -#define Two_One_Sum(a1, a0, b, x2, x1, x0) \ - Two_Sum(a0, b , _i, x0); \ - Two_Sum(a1, _i, x2, x1) - -#define Two_One_Diff(a1, a0, b, x2, x1, x0) \ - Two_Diff(a0, b , _i, x0); \ - Two_Sum( a1, _i, x2, x1) - -#define Two_Two_Sum(a1, a0, b1, b0, x3, x2, x1, x0) \ - Two_One_Sum(a1, a0, b0, _j, _0, x0); \ - Two_One_Sum(_j, _0, b1, x3, x2, x1) - -#define Two_Two_Diff(a1, a0, b1, b0, x3, x2, x1, x0) \ - Two_One_Diff(a1, a0, b0, _j, _0, x0); \ - Two_One_Diff(_j, _0, b1, x3, x2, x1) - -/* Macro for multiplying a two-component expansion by a single component. */ - -#define Two_One_Product(a1, a0, b, x3, x2, x1, x0) \ - Split(b, bhi, blo); \ - Two_Product_Presplit(a0, b, bhi, blo, _i, x0); \ - Two_Product_Presplit(a1, b, bhi, blo, _j, _0); \ - Two_Sum(_i, _0, _k, x1); \ - Fast_Two_Sum(_j, _k, x3, x2) - -/*****************************************************************************/ -/* */ -/* exactinit() Initialize the variables used for exact arithmetic. */ -/* */ -/* `epsilon' is the largest power of two such that 1.0 + epsilon = 1.0 in */ -/* floating-point arithmetic. `epsilon' bounds the relative roundoff */ -/* error. It is used for floating-point error analysis. */ -/* */ -/* `splitter' is used to split floating-point numbers into two half- */ -/* length significands for exact multiplication. */ -/* */ -/* I imagine that a highly optimizing compiler might be too smart for its */ -/* own good, and somehow cause this routine to fail, if it pretends that */ -/* floating-point arithmetic is too much like real arithmetic. */ -/* */ -/* Don't change this routine unless you fully understand it. */ -/* */ -/*****************************************************************************/ - -void exactinit() -{ - REAL half; - REAL check, lastcheck; - int every_other; -#ifdef LINUX - int cword; -#endif /* LINUX */ - -#ifdef CPU86 -#ifdef SINGLE - _control87(_PC_24, _MCW_PC); /* Set FPU control word for single precision. */ -#else /* not SINGLE */ - _control87(_PC_53, _MCW_PC); /* Set FPU control word for double precision. */ -#endif /* not SINGLE */ -#endif /* CPU86 */ -#ifdef LINUX -#ifdef SINGLE - /* cword = 4223; */ - cword = 4210; /* set FPU control word for single precision */ -#else /* not SINGLE */ - /* cword = 4735; */ - cword = 4722; /* set FPU control word for double precision */ -#endif /* not SINGLE */ - _FPU_SETCW(cword); -#endif /* LINUX */ - - every_other = 1; - half = 0.5; - epsilon = 1.0; - splitter = 1.0; - check = 1.0; - /* Repeatedly divide `epsilon' by two until it is too small to add to */ - /* one without causing roundoff. (Also check if the sum is equal to */ - /* the previous sum, for machines that round up instead of using exact */ - /* rounding. Not that these routines will work on such machines.) */ - do { - lastcheck = check; - epsilon *= half; - if (every_other) { - splitter *= 2.0; - } - every_other = !every_other; - check = 1.0 + epsilon; - } while ((check != 1.0) && (check != lastcheck)); - splitter += 1.0; - /* Error bounds for orientation and incircle tests. */ - resulterrbound = (3.0 + 8.0 * epsilon) * epsilon; - ccwerrboundA = (3.0 + 16.0 * epsilon) * epsilon; - ccwerrboundB = (2.0 + 12.0 * epsilon) * epsilon; - ccwerrboundC = (9.0 + 64.0 * epsilon) * epsilon * epsilon; - iccerrboundA = (10.0 + 96.0 * epsilon) * epsilon; - iccerrboundB = (4.0 + 48.0 * epsilon) * epsilon; - iccerrboundC = (44.0 + 576.0 * epsilon) * epsilon * epsilon; - o3derrboundA = (7.0 + 56.0 * epsilon) * epsilon; - o3derrboundB = (3.0 + 28.0 * epsilon) * epsilon; - o3derrboundC = (26.0 + 288.0 * epsilon) * epsilon * epsilon; -} - -/*****************************************************************************/ -/* */ -/* fast_expansion_sum_zeroelim() Sum two expansions, eliminating zero */ -/* components from the output expansion. */ -/* */ -/* Sets h = e + f. See my Robust Predicates paper for details. */ -/* */ -/* If round-to-even is used (as with IEEE 754), maintains the strongly */ -/* nonoverlapping property. (That is, if e is strongly nonoverlapping, h */ -/* will be also.) Does NOT maintain the nonoverlapping or nonadjacent */ -/* properties. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -int fast_expansion_sum_zeroelim(int elen, REAL *e, int flen, REAL *f, REAL *h) -#else /* not ANSI_DECLARATORS */ -int fast_expansion_sum_zeroelim(elen, e, flen, f, h) /* h cannot be e or f. */ -int elen; -REAL *e; -int flen; -REAL *f; -REAL *h; -#endif /* not ANSI_DECLARATORS */ - -{ - REAL Q; - INEXACT REAL Qnew; - INEXACT REAL hh; - INEXACT REAL bvirt; - REAL avirt, bround, around; - int eindex, findex, hindex; - REAL enow, fnow; - - enow = e[0]; - fnow = f[0]; - eindex = findex = 0; - if ((fnow > enow) == (fnow > -enow)) { - Q = enow; - enow = e[++eindex]; - } else { - Q = fnow; - fnow = f[++findex]; - } - hindex = 0; - if ((eindex < elen) && (findex < flen)) { - if ((fnow > enow) == (fnow > -enow)) { - Fast_Two_Sum(enow, Q, Qnew, hh); - enow = e[++eindex]; - } else { - Fast_Two_Sum(fnow, Q, Qnew, hh); - fnow = f[++findex]; - } - Q = Qnew; - if (hh != 0.0) { - h[hindex++] = hh; - } - while ((eindex < elen) && (findex < flen)) { - if ((fnow > enow) == (fnow > -enow)) { - Two_Sum(Q, enow, Qnew, hh); - enow = e[++eindex]; - } else { - Two_Sum(Q, fnow, Qnew, hh); - fnow = f[++findex]; - } - Q = Qnew; - if (hh != 0.0) { - h[hindex++] = hh; - } - } - } - while (eindex < elen) { - Two_Sum(Q, enow, Qnew, hh); - enow = e[++eindex]; - Q = Qnew; - if (hh != 0.0) { - h[hindex++] = hh; - } - } - while (findex < flen) { - Two_Sum(Q, fnow, Qnew, hh); - fnow = f[++findex]; - Q = Qnew; - if (hh != 0.0) { - h[hindex++] = hh; - } - } - if ((Q != 0.0) || (hindex == 0)) { - h[hindex++] = Q; - } - return hindex; -} - -/*****************************************************************************/ -/* */ -/* scale_expansion_zeroelim() Multiply an expansion by a scalar, */ -/* eliminating zero components from the */ -/* output expansion. */ -/* */ -/* Sets h = be. See my Robust Predicates paper for details. */ -/* */ -/* Maintains the nonoverlapping property. If round-to-even is used (as */ -/* with IEEE 754), maintains the strongly nonoverlapping and nonadjacent */ -/* properties as well. (That is, if e has one of these properties, so */ -/* will h.) */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -int scale_expansion_zeroelim(int elen, REAL *e, REAL b, REAL *h) -#else /* not ANSI_DECLARATORS */ -int scale_expansion_zeroelim(elen, e, b, h) /* e and h cannot be the same. */ -int elen; -REAL *e; -REAL b; -REAL *h; -#endif /* not ANSI_DECLARATORS */ - -{ - INEXACT REAL Q, sum; - REAL hh; - INEXACT REAL product1; - REAL product0; - int eindex, hindex; - REAL enow; - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; - - Split(b, bhi, blo); - Two_Product_Presplit(e[0], b, bhi, blo, Q, hh); - hindex = 0; - if (hh != 0) { - h[hindex++] = hh; - } - for (eindex = 1; eindex < elen; eindex++) { - enow = e[eindex]; - Two_Product_Presplit(enow, b, bhi, blo, product1, product0); - Two_Sum(Q, product0, sum, hh); - if (hh != 0) { - h[hindex++] = hh; - } - Fast_Two_Sum(product1, sum, Q, hh); - if (hh != 0) { - h[hindex++] = hh; - } - } - if ((Q != 0.0) || (hindex == 0)) { - h[hindex++] = Q; - } - return hindex; -} - -/*****************************************************************************/ -/* */ -/* estimate() Produce a one-word estimate of an expansion's value. */ -/* */ -/* See my Robust Predicates paper for details. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -REAL estimate(int elen, REAL *e) -#else /* not ANSI_DECLARATORS */ -REAL estimate(elen, e) -int elen; -REAL *e; -#endif /* not ANSI_DECLARATORS */ - -{ - REAL Q; - int eindex; - - Q = e[0]; - for (eindex = 1; eindex < elen; eindex++) { - Q += e[eindex]; - } - return Q; -} - -/*****************************************************************************/ -/* */ -/* counterclockwise() Return a positive value if the points pa, pb, and */ -/* pc occur in counterclockwise order; a negative */ -/* value if they occur in clockwise order; and zero */ -/* if they are collinear. The result is also a rough */ -/* approximation of twice the signed area of the */ -/* triangle defined by the three points. */ -/* */ -/* Uses exact arithmetic if necessary to ensure a correct answer. The */ -/* result returned is the determinant of a matrix. This determinant is */ -/* computed adaptively, in the sense that exact arithmetic is used only to */ -/* the degree it is needed to ensure that the returned value has the */ -/* correct sign. Hence, this function is usually quite fast, but will run */ -/* more slowly when the input points are collinear or nearly so. */ -/* */ -/* See my Robust Predicates paper for details. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -REAL counterclockwiseadapt(vertex pa, vertex pb, vertex pc, REAL detsum) -#else /* not ANSI_DECLARATORS */ -REAL counterclockwiseadapt(pa, pb, pc, detsum) -vertex pa; -vertex pb; -vertex pc; -REAL detsum; -#endif /* not ANSI_DECLARATORS */ - -{ - INEXACT REAL acx, acy, bcx, bcy; - REAL acxtail, acytail, bcxtail, bcytail; - INEXACT REAL detleft, detright; - REAL detlefttail, detrighttail; - REAL det, errbound; - REAL B[4], C1[8], C2[12], D[16]; - INEXACT REAL B3; - int C1length, C2length, Dlength; - REAL u[4]; - INEXACT REAL u3; - INEXACT REAL s1, t1; - REAL s0, t0; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j; - REAL _0; - - acx = (REAL) (pa[0] - pc[0]); - bcx = (REAL) (pb[0] - pc[0]); - acy = (REAL) (pa[1] - pc[1]); - bcy = (REAL) (pb[1] - pc[1]); - - Two_Product(acx, bcy, detleft, detlefttail); - Two_Product(acy, bcx, detright, detrighttail); - - Two_Two_Diff(detleft, detlefttail, detright, detrighttail, - B3, B[2], B[1], B[0]); - B[3] = B3; - - det = estimate(4, B); - errbound = ccwerrboundB * detsum; - if ((det >= errbound) || (-det >= errbound)) { - return det; - } - - Two_Diff_Tail(pa[0], pc[0], acx, acxtail); - Two_Diff_Tail(pb[0], pc[0], bcx, bcxtail); - Two_Diff_Tail(pa[1], pc[1], acy, acytail); - Two_Diff_Tail(pb[1], pc[1], bcy, bcytail); - - if ((acxtail == 0.0) && (acytail == 0.0) - && (bcxtail == 0.0) && (bcytail == 0.0)) { - return det; - } - - errbound = ccwerrboundC * detsum + resulterrbound * Absolute(det); - det += (acx * bcytail + bcy * acxtail) - - (acy * bcxtail + bcx * acytail); - if ((det >= errbound) || (-det >= errbound)) { - return det; - } - - Two_Product(acxtail, bcy, s1, s0); - Two_Product(acytail, bcx, t1, t0); - Two_Two_Diff(s1, s0, t1, t0, u3, u[2], u[1], u[0]); - u[3] = u3; - C1length = fast_expansion_sum_zeroelim(4, B, 4, u, C1); - - Two_Product(acx, bcytail, s1, s0); - Two_Product(acy, bcxtail, t1, t0); - Two_Two_Diff(s1, s0, t1, t0, u3, u[2], u[1], u[0]); - u[3] = u3; - C2length = fast_expansion_sum_zeroelim(C1length, C1, 4, u, C2); - - Two_Product(acxtail, bcytail, s1, s0); - Two_Product(acytail, bcxtail, t1, t0); - Two_Two_Diff(s1, s0, t1, t0, u3, u[2], u[1], u[0]); - u[3] = u3; - Dlength = fast_expansion_sum_zeroelim(C2length, C2, 4, u, D); - - return(D[Dlength - 1]); -} - -#ifdef ANSI_DECLARATORS -REAL counterclockwise(struct mesh *m, struct behavior *b, - vertex pa, vertex pb, vertex pc) -#else /* not ANSI_DECLARATORS */ -REAL counterclockwise(m, b, pa, pb, pc) -struct mesh *m; -struct behavior *b; -vertex pa; -vertex pb; -vertex pc; -#endif /* not ANSI_DECLARATORS */ - -{ - REAL detleft, detright, det; - REAL detsum, errbound; - - m->counterclockcount++; - - detleft = (pa[0] - pc[0]) * (pb[1] - pc[1]); - detright = (pa[1] - pc[1]) * (pb[0] - pc[0]); - det = detleft - detright; - - if (b->noexact) { - return det; - } - - if (detleft > 0.0) { - if (detright <= 0.0) { - return det; - } else { - detsum = detleft + detright; - } - } else if (detleft < 0.0) { - if (detright >= 0.0) { - return det; - } else { - detsum = -detleft - detright; - } - } else { - return det; - } - - errbound = ccwerrboundA * detsum; - if ((det >= errbound) || (-det >= errbound)) { - return det; - } - - return counterclockwiseadapt(pa, pb, pc, detsum); -} - -/*****************************************************************************/ -/* */ -/* incircle() Return a positive value if the point pd lies inside the */ -/* circle passing through pa, pb, and pc; a negative value if */ -/* it lies outside; and zero if the four points are cocircular.*/ -/* The points pa, pb, and pc must be in counterclockwise */ -/* order, or the sign of the result will be reversed. */ -/* */ -/* Uses exact arithmetic if necessary to ensure a correct answer. The */ -/* result returned is the determinant of a matrix. This determinant is */ -/* computed adaptively, in the sense that exact arithmetic is used only to */ -/* the degree it is needed to ensure that the returned value has the */ -/* correct sign. Hence, this function is usually quite fast, but will run */ -/* more slowly when the input points are cocircular or nearly so. */ -/* */ -/* See my Robust Predicates paper for details. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -REAL incircleadapt(vertex pa, vertex pb, vertex pc, vertex pd, REAL permanent) -#else /* not ANSI_DECLARATORS */ -REAL incircleadapt(pa, pb, pc, pd, permanent) -vertex pa; -vertex pb; -vertex pc; -vertex pd; -REAL permanent; -#endif /* not ANSI_DECLARATORS */ - -{ - INEXACT REAL adx, bdx, cdx, ady, bdy, cdy; - REAL det, errbound; - - INEXACT REAL bdxcdy1, cdxbdy1, cdxady1, adxcdy1, adxbdy1, bdxady1; - REAL bdxcdy0, cdxbdy0, cdxady0, adxcdy0, adxbdy0, bdxady0; - REAL bc[4], ca[4], ab[4]; - INEXACT REAL bc3, ca3, ab3; - REAL axbc[8], axxbc[16], aybc[8], ayybc[16], adet[32]; - int axbclen, axxbclen, aybclen, ayybclen, alen; - REAL bxca[8], bxxca[16], byca[8], byyca[16], bdet[32]; - int bxcalen, bxxcalen, bycalen, byycalen, blen; - REAL cxab[8], cxxab[16], cyab[8], cyyab[16], cdet[32]; - int cxablen, cxxablen, cyablen, cyyablen, clen; - REAL abdet[64]; - int ablen; - REAL fin1[1152], fin2[1152]; - REAL *finnow, *finother, *finswap; - int finlength; - - REAL adxtail, bdxtail, cdxtail, adytail, bdytail, cdytail; - INEXACT REAL adxadx1, adyady1, bdxbdx1, bdybdy1, cdxcdx1, cdycdy1; - REAL adxadx0, adyady0, bdxbdx0, bdybdy0, cdxcdx0, cdycdy0; - REAL aa[4], bb[4], cc[4]; - INEXACT REAL aa3, bb3, cc3; - INEXACT REAL ti1, tj1; - REAL ti0, tj0; - REAL u[4], v[4]; - INEXACT REAL u3, v3; - REAL temp8[8], temp16a[16], temp16b[16], temp16c[16]; - REAL temp32a[32], temp32b[32], temp48[48], temp64[64]; - int temp8len, temp16alen, temp16blen, temp16clen; - int temp32alen, temp32blen, temp48len, temp64len; - REAL axtbb[8], axtcc[8], aytbb[8], aytcc[8]; - int axtbblen, axtcclen, aytbblen, aytcclen; - REAL bxtaa[8], bxtcc[8], bytaa[8], bytcc[8]; - int bxtaalen, bxtcclen, bytaalen, bytcclen; - REAL cxtaa[8], cxtbb[8], cytaa[8], cytbb[8]; - int cxtaalen, cxtbblen, cytaalen, cytbblen; - REAL axtbc[8], aytbc[8], bxtca[8], bytca[8], cxtab[8], cytab[8]; - int axtbclen, aytbclen, bxtcalen, bytcalen, cxtablen, cytablen; - REAL axtbct[16], aytbct[16], bxtcat[16], bytcat[16], cxtabt[16], cytabt[16]; - int axtbctlen, aytbctlen, bxtcatlen, bytcatlen, cxtabtlen, cytabtlen; - REAL axtbctt[8], aytbctt[8], bxtcatt[8]; - REAL bytcatt[8], cxtabtt[8], cytabtt[8]; - int axtbcttlen, aytbcttlen, bxtcattlen, bytcattlen, cxtabttlen, cytabttlen; - REAL abt[8], bct[8], cat[8]; - int abtlen, bctlen, catlen; - REAL abtt[4], bctt[4], catt[4]; - int abttlen, bcttlen, cattlen; - INEXACT REAL abtt3, bctt3, catt3; - REAL negate; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j; - REAL _0; - - adx = (REAL) (pa[0] - pd[0]); - bdx = (REAL) (pb[0] - pd[0]); - cdx = (REAL) (pc[0] - pd[0]); - ady = (REAL) (pa[1] - pd[1]); - bdy = (REAL) (pb[1] - pd[1]); - cdy = (REAL) (pc[1] - pd[1]); - - Two_Product(bdx, cdy, bdxcdy1, bdxcdy0); - Two_Product(cdx, bdy, cdxbdy1, cdxbdy0); - Two_Two_Diff(bdxcdy1, bdxcdy0, cdxbdy1, cdxbdy0, bc3, bc[2], bc[1], bc[0]); - bc[3] = bc3; - axbclen = scale_expansion_zeroelim(4, bc, adx, axbc); - axxbclen = scale_expansion_zeroelim(axbclen, axbc, adx, axxbc); - aybclen = scale_expansion_zeroelim(4, bc, ady, aybc); - ayybclen = scale_expansion_zeroelim(aybclen, aybc, ady, ayybc); - alen = fast_expansion_sum_zeroelim(axxbclen, axxbc, ayybclen, ayybc, adet); - - Two_Product(cdx, ady, cdxady1, cdxady0); - Two_Product(adx, cdy, adxcdy1, adxcdy0); - Two_Two_Diff(cdxady1, cdxady0, adxcdy1, adxcdy0, ca3, ca[2], ca[1], ca[0]); - ca[3] = ca3; - bxcalen = scale_expansion_zeroelim(4, ca, bdx, bxca); - bxxcalen = scale_expansion_zeroelim(bxcalen, bxca, bdx, bxxca); - bycalen = scale_expansion_zeroelim(4, ca, bdy, byca); - byycalen = scale_expansion_zeroelim(bycalen, byca, bdy, byyca); - blen = fast_expansion_sum_zeroelim(bxxcalen, bxxca, byycalen, byyca, bdet); - - Two_Product(adx, bdy, adxbdy1, adxbdy0); - Two_Product(bdx, ady, bdxady1, bdxady0); - Two_Two_Diff(adxbdy1, adxbdy0, bdxady1, bdxady0, ab3, ab[2], ab[1], ab[0]); - ab[3] = ab3; - cxablen = scale_expansion_zeroelim(4, ab, cdx, cxab); - cxxablen = scale_expansion_zeroelim(cxablen, cxab, cdx, cxxab); - cyablen = scale_expansion_zeroelim(4, ab, cdy, cyab); - cyyablen = scale_expansion_zeroelim(cyablen, cyab, cdy, cyyab); - clen = fast_expansion_sum_zeroelim(cxxablen, cxxab, cyyablen, cyyab, cdet); - - ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); - finlength = fast_expansion_sum_zeroelim(ablen, abdet, clen, cdet, fin1); - - det = estimate(finlength, fin1); - errbound = iccerrboundB * permanent; - if ((det >= errbound) || (-det >= errbound)) { - return det; - } - - Two_Diff_Tail(pa[0], pd[0], adx, adxtail); - Two_Diff_Tail(pa[1], pd[1], ady, adytail); - Two_Diff_Tail(pb[0], pd[0], bdx, bdxtail); - Two_Diff_Tail(pb[1], pd[1], bdy, bdytail); - Two_Diff_Tail(pc[0], pd[0], cdx, cdxtail); - Two_Diff_Tail(pc[1], pd[1], cdy, cdytail); - if ((adxtail == 0.0) && (bdxtail == 0.0) && (cdxtail == 0.0) - && (adytail == 0.0) && (bdytail == 0.0) && (cdytail == 0.0)) { - return det; - } - - errbound = iccerrboundC * permanent + resulterrbound * Absolute(det); - det += ((adx * adx + ady * ady) * ((bdx * cdytail + cdy * bdxtail) - - (bdy * cdxtail + cdx * bdytail)) - + 2.0 * (adx * adxtail + ady * adytail) * (bdx * cdy - bdy * cdx)) - + ((bdx * bdx + bdy * bdy) * ((cdx * adytail + ady * cdxtail) - - (cdy * adxtail + adx * cdytail)) - + 2.0 * (bdx * bdxtail + bdy * bdytail) * (cdx * ady - cdy * adx)) - + ((cdx * cdx + cdy * cdy) * ((adx * bdytail + bdy * adxtail) - - (ady * bdxtail + bdx * adytail)) - + 2.0 * (cdx * cdxtail + cdy * cdytail) * (adx * bdy - ady * bdx)); - if ((det >= errbound) || (-det >= errbound)) { - return det; - } - - finnow = fin1; - finother = fin2; - - if ((bdxtail != 0.0) || (bdytail != 0.0) - || (cdxtail != 0.0) || (cdytail != 0.0)) { - Square(adx, adxadx1, adxadx0); - Square(ady, adyady1, adyady0); - Two_Two_Sum(adxadx1, adxadx0, adyady1, adyady0, aa3, aa[2], aa[1], aa[0]); - aa[3] = aa3; - } - if ((cdxtail != 0.0) || (cdytail != 0.0) - || (adxtail != 0.0) || (adytail != 0.0)) { - Square(bdx, bdxbdx1, bdxbdx0); - Square(bdy, bdybdy1, bdybdy0); - Two_Two_Sum(bdxbdx1, bdxbdx0, bdybdy1, bdybdy0, bb3, bb[2], bb[1], bb[0]); - bb[3] = bb3; - } - if ((adxtail != 0.0) || (adytail != 0.0) - || (bdxtail != 0.0) || (bdytail != 0.0)) { - Square(cdx, cdxcdx1, cdxcdx0); - Square(cdy, cdycdy1, cdycdy0); - Two_Two_Sum(cdxcdx1, cdxcdx0, cdycdy1, cdycdy0, cc3, cc[2], cc[1], cc[0]); - cc[3] = cc3; - } - - if (adxtail != 0.0) { - axtbclen = scale_expansion_zeroelim(4, bc, adxtail, axtbc); - temp16alen = scale_expansion_zeroelim(axtbclen, axtbc, 2.0 * adx, - temp16a); - - axtcclen = scale_expansion_zeroelim(4, cc, adxtail, axtcc); - temp16blen = scale_expansion_zeroelim(axtcclen, axtcc, bdy, temp16b); - - axtbblen = scale_expansion_zeroelim(4, bb, adxtail, axtbb); - temp16clen = scale_expansion_zeroelim(axtbblen, axtbb, -cdy, temp16c); - - temp32alen = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp16blen, temp16b, temp32a); - temp48len = fast_expansion_sum_zeroelim(temp16clen, temp16c, - temp32alen, temp32a, temp48); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, - temp48, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (adytail != 0.0) { - aytbclen = scale_expansion_zeroelim(4, bc, adytail, aytbc); - temp16alen = scale_expansion_zeroelim(aytbclen, aytbc, 2.0 * ady, - temp16a); - - aytbblen = scale_expansion_zeroelim(4, bb, adytail, aytbb); - temp16blen = scale_expansion_zeroelim(aytbblen, aytbb, cdx, temp16b); - - aytcclen = scale_expansion_zeroelim(4, cc, adytail, aytcc); - temp16clen = scale_expansion_zeroelim(aytcclen, aytcc, -bdx, temp16c); - - temp32alen = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp16blen, temp16b, temp32a); - temp48len = fast_expansion_sum_zeroelim(temp16clen, temp16c, - temp32alen, temp32a, temp48); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, - temp48, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (bdxtail != 0.0) { - bxtcalen = scale_expansion_zeroelim(4, ca, bdxtail, bxtca); - temp16alen = scale_expansion_zeroelim(bxtcalen, bxtca, 2.0 * bdx, - temp16a); - - bxtaalen = scale_expansion_zeroelim(4, aa, bdxtail, bxtaa); - temp16blen = scale_expansion_zeroelim(bxtaalen, bxtaa, cdy, temp16b); - - bxtcclen = scale_expansion_zeroelim(4, cc, bdxtail, bxtcc); - temp16clen = scale_expansion_zeroelim(bxtcclen, bxtcc, -ady, temp16c); - - temp32alen = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp16blen, temp16b, temp32a); - temp48len = fast_expansion_sum_zeroelim(temp16clen, temp16c, - temp32alen, temp32a, temp48); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, - temp48, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (bdytail != 0.0) { - bytcalen = scale_expansion_zeroelim(4, ca, bdytail, bytca); - temp16alen = scale_expansion_zeroelim(bytcalen, bytca, 2.0 * bdy, - temp16a); - - bytcclen = scale_expansion_zeroelim(4, cc, bdytail, bytcc); - temp16blen = scale_expansion_zeroelim(bytcclen, bytcc, adx, temp16b); - - bytaalen = scale_expansion_zeroelim(4, aa, bdytail, bytaa); - temp16clen = scale_expansion_zeroelim(bytaalen, bytaa, -cdx, temp16c); - - temp32alen = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp16blen, temp16b, temp32a); - temp48len = fast_expansion_sum_zeroelim(temp16clen, temp16c, - temp32alen, temp32a, temp48); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, - temp48, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (cdxtail != 0.0) { - cxtablen = scale_expansion_zeroelim(4, ab, cdxtail, cxtab); - temp16alen = scale_expansion_zeroelim(cxtablen, cxtab, 2.0 * cdx, - temp16a); - - cxtbblen = scale_expansion_zeroelim(4, bb, cdxtail, cxtbb); - temp16blen = scale_expansion_zeroelim(cxtbblen, cxtbb, ady, temp16b); - - cxtaalen = scale_expansion_zeroelim(4, aa, cdxtail, cxtaa); - temp16clen = scale_expansion_zeroelim(cxtaalen, cxtaa, -bdy, temp16c); - - temp32alen = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp16blen, temp16b, temp32a); - temp48len = fast_expansion_sum_zeroelim(temp16clen, temp16c, - temp32alen, temp32a, temp48); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, - temp48, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (cdytail != 0.0) { - cytablen = scale_expansion_zeroelim(4, ab, cdytail, cytab); - temp16alen = scale_expansion_zeroelim(cytablen, cytab, 2.0 * cdy, - temp16a); - - cytaalen = scale_expansion_zeroelim(4, aa, cdytail, cytaa); - temp16blen = scale_expansion_zeroelim(cytaalen, cytaa, bdx, temp16b); - - cytbblen = scale_expansion_zeroelim(4, bb, cdytail, cytbb); - temp16clen = scale_expansion_zeroelim(cytbblen, cytbb, -adx, temp16c); - - temp32alen = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp16blen, temp16b, temp32a); - temp48len = fast_expansion_sum_zeroelim(temp16clen, temp16c, - temp32alen, temp32a, temp48); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, - temp48, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - - if ((adxtail != 0.0) || (adytail != 0.0)) { - if ((bdxtail != 0.0) || (bdytail != 0.0) - || (cdxtail != 0.0) || (cdytail != 0.0)) { - Two_Product(bdxtail, cdy, ti1, ti0); - Two_Product(bdx, cdytail, tj1, tj0); - Two_Two_Sum(ti1, ti0, tj1, tj0, u3, u[2], u[1], u[0]); - u[3] = u3; - negate = -bdy; - Two_Product(cdxtail, negate, ti1, ti0); - negate = -bdytail; - Two_Product(cdx, negate, tj1, tj0); - Two_Two_Sum(ti1, ti0, tj1, tj0, v3, v[2], v[1], v[0]); - v[3] = v3; - bctlen = fast_expansion_sum_zeroelim(4, u, 4, v, bct); - - Two_Product(bdxtail, cdytail, ti1, ti0); - Two_Product(cdxtail, bdytail, tj1, tj0); - Two_Two_Diff(ti1, ti0, tj1, tj0, bctt3, bctt[2], bctt[1], bctt[0]); - bctt[3] = bctt3; - bcttlen = 4; - } else { - bct[0] = 0.0; - bctlen = 1; - bctt[0] = 0.0; - bcttlen = 1; - } - - if (adxtail != 0.0) { - temp16alen = scale_expansion_zeroelim(axtbclen, axtbc, adxtail, temp16a); - axtbctlen = scale_expansion_zeroelim(bctlen, bct, adxtail, axtbct); - temp32alen = scale_expansion_zeroelim(axtbctlen, axtbct, 2.0 * adx, - temp32a); - temp48len = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp32alen, temp32a, temp48); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, - temp48, finother); - finswap = finnow; finnow = finother; finother = finswap; - if (bdytail != 0.0) { - temp8len = scale_expansion_zeroelim(4, cc, adxtail, temp8); - temp16alen = scale_expansion_zeroelim(temp8len, temp8, bdytail, - temp16a); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, - temp16a, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (cdytail != 0.0) { - temp8len = scale_expansion_zeroelim(4, bb, -adxtail, temp8); - temp16alen = scale_expansion_zeroelim(temp8len, temp8, cdytail, - temp16a); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, - temp16a, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - - temp32alen = scale_expansion_zeroelim(axtbctlen, axtbct, adxtail, - temp32a); - axtbcttlen = scale_expansion_zeroelim(bcttlen, bctt, adxtail, axtbctt); - temp16alen = scale_expansion_zeroelim(axtbcttlen, axtbctt, 2.0 * adx, - temp16a); - temp16blen = scale_expansion_zeroelim(axtbcttlen, axtbctt, adxtail, - temp16b); - temp32blen = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp16blen, temp16b, temp32b); - temp64len = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp64len, - temp64, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (adytail != 0.0) { - temp16alen = scale_expansion_zeroelim(aytbclen, aytbc, adytail, temp16a); - aytbctlen = scale_expansion_zeroelim(bctlen, bct, adytail, aytbct); - temp32alen = scale_expansion_zeroelim(aytbctlen, aytbct, 2.0 * ady, - temp32a); - temp48len = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp32alen, temp32a, temp48); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, - temp48, finother); - finswap = finnow; finnow = finother; finother = finswap; - - - temp32alen = scale_expansion_zeroelim(aytbctlen, aytbct, adytail, - temp32a); - aytbcttlen = scale_expansion_zeroelim(bcttlen, bctt, adytail, aytbctt); - temp16alen = scale_expansion_zeroelim(aytbcttlen, aytbctt, 2.0 * ady, - temp16a); - temp16blen = scale_expansion_zeroelim(aytbcttlen, aytbctt, adytail, - temp16b); - temp32blen = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp16blen, temp16b, temp32b); - temp64len = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp64len, - temp64, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - } - if ((bdxtail != 0.0) || (bdytail != 0.0)) { - if ((cdxtail != 0.0) || (cdytail != 0.0) - || (adxtail != 0.0) || (adytail != 0.0)) { - Two_Product(cdxtail, ady, ti1, ti0); - Two_Product(cdx, adytail, tj1, tj0); - Two_Two_Sum(ti1, ti0, tj1, tj0, u3, u[2], u[1], u[0]); - u[3] = u3; - negate = -cdy; - Two_Product(adxtail, negate, ti1, ti0); - negate = -cdytail; - Two_Product(adx, negate, tj1, tj0); - Two_Two_Sum(ti1, ti0, tj1, tj0, v3, v[2], v[1], v[0]); - v[3] = v3; - catlen = fast_expansion_sum_zeroelim(4, u, 4, v, cat); - - Two_Product(cdxtail, adytail, ti1, ti0); - Two_Product(adxtail, cdytail, tj1, tj0); - Two_Two_Diff(ti1, ti0, tj1, tj0, catt3, catt[2], catt[1], catt[0]); - catt[3] = catt3; - cattlen = 4; - } else { - cat[0] = 0.0; - catlen = 1; - catt[0] = 0.0; - cattlen = 1; - } - - if (bdxtail != 0.0) { - temp16alen = scale_expansion_zeroelim(bxtcalen, bxtca, bdxtail, temp16a); - bxtcatlen = scale_expansion_zeroelim(catlen, cat, bdxtail, bxtcat); - temp32alen = scale_expansion_zeroelim(bxtcatlen, bxtcat, 2.0 * bdx, - temp32a); - temp48len = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp32alen, temp32a, temp48); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, - temp48, finother); - finswap = finnow; finnow = finother; finother = finswap; - if (cdytail != 0.0) { - temp8len = scale_expansion_zeroelim(4, aa, bdxtail, temp8); - temp16alen = scale_expansion_zeroelim(temp8len, temp8, cdytail, - temp16a); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, - temp16a, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (adytail != 0.0) { - temp8len = scale_expansion_zeroelim(4, cc, -bdxtail, temp8); - temp16alen = scale_expansion_zeroelim(temp8len, temp8, adytail, - temp16a); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, - temp16a, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - - temp32alen = scale_expansion_zeroelim(bxtcatlen, bxtcat, bdxtail, - temp32a); - bxtcattlen = scale_expansion_zeroelim(cattlen, catt, bdxtail, bxtcatt); - temp16alen = scale_expansion_zeroelim(bxtcattlen, bxtcatt, 2.0 * bdx, - temp16a); - temp16blen = scale_expansion_zeroelim(bxtcattlen, bxtcatt, bdxtail, - temp16b); - temp32blen = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp16blen, temp16b, temp32b); - temp64len = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp64len, - temp64, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (bdytail != 0.0) { - temp16alen = scale_expansion_zeroelim(bytcalen, bytca, bdytail, temp16a); - bytcatlen = scale_expansion_zeroelim(catlen, cat, bdytail, bytcat); - temp32alen = scale_expansion_zeroelim(bytcatlen, bytcat, 2.0 * bdy, - temp32a); - temp48len = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp32alen, temp32a, temp48); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, - temp48, finother); - finswap = finnow; finnow = finother; finother = finswap; - - - temp32alen = scale_expansion_zeroelim(bytcatlen, bytcat, bdytail, - temp32a); - bytcattlen = scale_expansion_zeroelim(cattlen, catt, bdytail, bytcatt); - temp16alen = scale_expansion_zeroelim(bytcattlen, bytcatt, 2.0 * bdy, - temp16a); - temp16blen = scale_expansion_zeroelim(bytcattlen, bytcatt, bdytail, - temp16b); - temp32blen = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp16blen, temp16b, temp32b); - temp64len = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp64len, - temp64, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - } - if ((cdxtail != 0.0) || (cdytail != 0.0)) { - if ((adxtail != 0.0) || (adytail != 0.0) - || (bdxtail != 0.0) || (bdytail != 0.0)) { - Two_Product(adxtail, bdy, ti1, ti0); - Two_Product(adx, bdytail, tj1, tj0); - Two_Two_Sum(ti1, ti0, tj1, tj0, u3, u[2], u[1], u[0]); - u[3] = u3; - negate = -ady; - Two_Product(bdxtail, negate, ti1, ti0); - negate = -adytail; - Two_Product(bdx, negate, tj1, tj0); - Two_Two_Sum(ti1, ti0, tj1, tj0, v3, v[2], v[1], v[0]); - v[3] = v3; - abtlen = fast_expansion_sum_zeroelim(4, u, 4, v, abt); - - Two_Product(adxtail, bdytail, ti1, ti0); - Two_Product(bdxtail, adytail, tj1, tj0); - Two_Two_Diff(ti1, ti0, tj1, tj0, abtt3, abtt[2], abtt[1], abtt[0]); - abtt[3] = abtt3; - abttlen = 4; - } else { - abt[0] = 0.0; - abtlen = 1; - abtt[0] = 0.0; - abttlen = 1; - } - - if (cdxtail != 0.0) { - temp16alen = scale_expansion_zeroelim(cxtablen, cxtab, cdxtail, temp16a); - cxtabtlen = scale_expansion_zeroelim(abtlen, abt, cdxtail, cxtabt); - temp32alen = scale_expansion_zeroelim(cxtabtlen, cxtabt, 2.0 * cdx, - temp32a); - temp48len = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp32alen, temp32a, temp48); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, - temp48, finother); - finswap = finnow; finnow = finother; finother = finswap; - if (adytail != 0.0) { - temp8len = scale_expansion_zeroelim(4, bb, cdxtail, temp8); - temp16alen = scale_expansion_zeroelim(temp8len, temp8, adytail, - temp16a); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, - temp16a, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (bdytail != 0.0) { - temp8len = scale_expansion_zeroelim(4, aa, -cdxtail, temp8); - temp16alen = scale_expansion_zeroelim(temp8len, temp8, bdytail, - temp16a); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, - temp16a, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - - temp32alen = scale_expansion_zeroelim(cxtabtlen, cxtabt, cdxtail, - temp32a); - cxtabttlen = scale_expansion_zeroelim(abttlen, abtt, cdxtail, cxtabtt); - temp16alen = scale_expansion_zeroelim(cxtabttlen, cxtabtt, 2.0 * cdx, - temp16a); - temp16blen = scale_expansion_zeroelim(cxtabttlen, cxtabtt, cdxtail, - temp16b); - temp32blen = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp16blen, temp16b, temp32b); - temp64len = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp64len, - temp64, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (cdytail != 0.0) { - temp16alen = scale_expansion_zeroelim(cytablen, cytab, cdytail, temp16a); - cytabtlen = scale_expansion_zeroelim(abtlen, abt, cdytail, cytabt); - temp32alen = scale_expansion_zeroelim(cytabtlen, cytabt, 2.0 * cdy, - temp32a); - temp48len = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp32alen, temp32a, temp48); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp48len, - temp48, finother); - finswap = finnow; finnow = finother; finother = finswap; - - - temp32alen = scale_expansion_zeroelim(cytabtlen, cytabt, cdytail, - temp32a); - cytabttlen = scale_expansion_zeroelim(abttlen, abtt, cdytail, cytabtt); - temp16alen = scale_expansion_zeroelim(cytabttlen, cytabtt, 2.0 * cdy, - temp16a); - temp16blen = scale_expansion_zeroelim(cytabttlen, cytabtt, cdytail, - temp16b); - temp32blen = fast_expansion_sum_zeroelim(temp16alen, temp16a, - temp16blen, temp16b, temp32b); - temp64len = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, temp64len, - temp64, finother); - finswap = finnow; finnow = finother; finother = finswap; - } - } - - return finnow[finlength - 1]; -} - -#ifdef ANSI_DECLARATORS -REAL incircle(struct mesh *m, struct behavior *b, - vertex pa, vertex pb, vertex pc, vertex pd) -#else /* not ANSI_DECLARATORS */ -REAL incircle(m, b, pa, pb, pc, pd) -struct mesh *m; -struct behavior *b; -vertex pa; -vertex pb; -vertex pc; -vertex pd; -#endif /* not ANSI_DECLARATORS */ - -{ - REAL adx, bdx, cdx, ady, bdy, cdy; - REAL bdxcdy, cdxbdy, cdxady, adxcdy, adxbdy, bdxady; - REAL alift, blift, clift; - REAL det; - REAL permanent, errbound; - - m->incirclecount++; - - adx = pa[0] - pd[0]; - bdx = pb[0] - pd[0]; - cdx = pc[0] - pd[0]; - ady = pa[1] - pd[1]; - bdy = pb[1] - pd[1]; - cdy = pc[1] - pd[1]; - - bdxcdy = bdx * cdy; - cdxbdy = cdx * bdy; - alift = adx * adx + ady * ady; - - cdxady = cdx * ady; - adxcdy = adx * cdy; - blift = bdx * bdx + bdy * bdy; - - adxbdy = adx * bdy; - bdxady = bdx * ady; - clift = cdx * cdx + cdy * cdy; - - det = alift * (bdxcdy - cdxbdy) - + blift * (cdxady - adxcdy) - + clift * (adxbdy - bdxady); - - if (b->noexact) { - return det; - } - - permanent = (Absolute(bdxcdy) + Absolute(cdxbdy)) * alift - + (Absolute(cdxady) + Absolute(adxcdy)) * blift - + (Absolute(adxbdy) + Absolute(bdxady)) * clift; - errbound = iccerrboundA * permanent; - if ((det > errbound) || (-det > errbound)) { - return det; - } - - return incircleadapt(pa, pb, pc, pd, permanent); -} - -/*****************************************************************************/ -/* */ -/* orient3d() Return a positive value if the point pd lies below the */ -/* plane passing through pa, pb, and pc; "below" is defined so */ -/* that pa, pb, and pc appear in counterclockwise order when */ -/* viewed from above the plane. Returns a negative value if */ -/* pd lies above the plane. Returns zero if the points are */ -/* coplanar. The result is also a rough approximation of six */ -/* times the signed volume of the tetrahedron defined by the */ -/* four points. */ -/* */ -/* Uses exact arithmetic if necessary to ensure a correct answer. The */ -/* result returned is the determinant of a matrix. This determinant is */ -/* computed adaptively, in the sense that exact arithmetic is used only to */ -/* the degree it is needed to ensure that the returned value has the */ -/* correct sign. Hence, this function is usually quite fast, but will run */ -/* more slowly when the input points are coplanar or nearly so. */ -/* */ -/* See my Robust Predicates paper for details. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -REAL orient3dadapt(vertex pa, vertex pb, vertex pc, vertex pd, - REAL aheight, REAL bheight, REAL cheight, REAL dheight, - REAL permanent) -#else /* not ANSI_DECLARATORS */ -REAL orient3dadapt(pa, pb, pc, pd, - aheight, bheight, cheight, dheight, permanent) -vertex pa; -vertex pb; -vertex pc; -vertex pd; -REAL aheight; -REAL bheight; -REAL cheight; -REAL dheight; -REAL permanent; -#endif /* not ANSI_DECLARATORS */ - -{ - INEXACT REAL adx, bdx, cdx, ady, bdy, cdy, adheight, bdheight, cdheight; - REAL det, errbound; - - INEXACT REAL bdxcdy1, cdxbdy1, cdxady1, adxcdy1, adxbdy1, bdxady1; - REAL bdxcdy0, cdxbdy0, cdxady0, adxcdy0, adxbdy0, bdxady0; - REAL bc[4], ca[4], ab[4]; - INEXACT REAL bc3, ca3, ab3; - REAL adet[8], bdet[8], cdet[8]; - int alen, blen, clen; - REAL abdet[16]; - int ablen; - REAL *finnow, *finother, *finswap; - REAL fin1[192], fin2[192]; - int finlength; - - REAL adxtail, bdxtail, cdxtail; - REAL adytail, bdytail, cdytail; - REAL adheighttail, bdheighttail, cdheighttail; - INEXACT REAL at_blarge, at_clarge; - INEXACT REAL bt_clarge, bt_alarge; - INEXACT REAL ct_alarge, ct_blarge; - REAL at_b[4], at_c[4], bt_c[4], bt_a[4], ct_a[4], ct_b[4]; - int at_blen, at_clen, bt_clen, bt_alen, ct_alen, ct_blen; - INEXACT REAL bdxt_cdy1, cdxt_bdy1, cdxt_ady1; - INEXACT REAL adxt_cdy1, adxt_bdy1, bdxt_ady1; - REAL bdxt_cdy0, cdxt_bdy0, cdxt_ady0; - REAL adxt_cdy0, adxt_bdy0, bdxt_ady0; - INEXACT REAL bdyt_cdx1, cdyt_bdx1, cdyt_adx1; - INEXACT REAL adyt_cdx1, adyt_bdx1, bdyt_adx1; - REAL bdyt_cdx0, cdyt_bdx0, cdyt_adx0; - REAL adyt_cdx0, adyt_bdx0, bdyt_adx0; - REAL bct[8], cat[8], abt[8]; - int bctlen, catlen, abtlen; - INEXACT REAL bdxt_cdyt1, cdxt_bdyt1, cdxt_adyt1; - INEXACT REAL adxt_cdyt1, adxt_bdyt1, bdxt_adyt1; - REAL bdxt_cdyt0, cdxt_bdyt0, cdxt_adyt0; - REAL adxt_cdyt0, adxt_bdyt0, bdxt_adyt0; - REAL u[4], v[12], w[16]; - INEXACT REAL u3; - int vlength, wlength; - REAL negate; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j, _k; - REAL _0; - - adx = (REAL) (pa[0] - pd[0]); - bdx = (REAL) (pb[0] - pd[0]); - cdx = (REAL) (pc[0] - pd[0]); - ady = (REAL) (pa[1] - pd[1]); - bdy = (REAL) (pb[1] - pd[1]); - cdy = (REAL) (pc[1] - pd[1]); - adheight = (REAL) (aheight - dheight); - bdheight = (REAL) (bheight - dheight); - cdheight = (REAL) (cheight - dheight); - - Two_Product(bdx, cdy, bdxcdy1, bdxcdy0); - Two_Product(cdx, bdy, cdxbdy1, cdxbdy0); - Two_Two_Diff(bdxcdy1, bdxcdy0, cdxbdy1, cdxbdy0, bc3, bc[2], bc[1], bc[0]); - bc[3] = bc3; - alen = scale_expansion_zeroelim(4, bc, adheight, adet); - - Two_Product(cdx, ady, cdxady1, cdxady0); - Two_Product(adx, cdy, adxcdy1, adxcdy0); - Two_Two_Diff(cdxady1, cdxady0, adxcdy1, adxcdy0, ca3, ca[2], ca[1], ca[0]); - ca[3] = ca3; - blen = scale_expansion_zeroelim(4, ca, bdheight, bdet); - - Two_Product(adx, bdy, adxbdy1, adxbdy0); - Two_Product(bdx, ady, bdxady1, bdxady0); - Two_Two_Diff(adxbdy1, adxbdy0, bdxady1, bdxady0, ab3, ab[2], ab[1], ab[0]); - ab[3] = ab3; - clen = scale_expansion_zeroelim(4, ab, cdheight, cdet); - - ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); - finlength = fast_expansion_sum_zeroelim(ablen, abdet, clen, cdet, fin1); - - det = estimate(finlength, fin1); - errbound = o3derrboundB * permanent; - if ((det >= errbound) || (-det >= errbound)) { - return det; - } - - Two_Diff_Tail(pa[0], pd[0], adx, adxtail); - Two_Diff_Tail(pb[0], pd[0], bdx, bdxtail); - Two_Diff_Tail(pc[0], pd[0], cdx, cdxtail); - Two_Diff_Tail(pa[1], pd[1], ady, adytail); - Two_Diff_Tail(pb[1], pd[1], bdy, bdytail); - Two_Diff_Tail(pc[1], pd[1], cdy, cdytail); - Two_Diff_Tail(aheight, dheight, adheight, adheighttail); - Two_Diff_Tail(bheight, dheight, bdheight, bdheighttail); - Two_Diff_Tail(cheight, dheight, cdheight, cdheighttail); - - if ((adxtail == 0.0) && (bdxtail == 0.0) && (cdxtail == 0.0) && - (adytail == 0.0) && (bdytail == 0.0) && (cdytail == 0.0) && - (adheighttail == 0.0) && - (bdheighttail == 0.0) && - (cdheighttail == 0.0)) { - return det; - } - - errbound = o3derrboundC * permanent + resulterrbound * Absolute(det); - det += (adheight * ((bdx * cdytail + cdy * bdxtail) - - (bdy * cdxtail + cdx * bdytail)) + - adheighttail * (bdx * cdy - bdy * cdx)) + - (bdheight * ((cdx * adytail + ady * cdxtail) - - (cdy * adxtail + adx * cdytail)) + - bdheighttail * (cdx * ady - cdy * adx)) + - (cdheight * ((adx * bdytail + bdy * adxtail) - - (ady * bdxtail + bdx * adytail)) + - cdheighttail * (adx * bdy - ady * bdx)); - if ((det >= errbound) || (-det >= errbound)) { - return det; - } - - finnow = fin1; - finother = fin2; - - if (adxtail == 0.0) { - if (adytail == 0.0) { - at_b[0] = 0.0; - at_blen = 1; - at_c[0] = 0.0; - at_clen = 1; - } else { - negate = -adytail; - Two_Product(negate, bdx, at_blarge, at_b[0]); - at_b[1] = at_blarge; - at_blen = 2; - Two_Product(adytail, cdx, at_clarge, at_c[0]); - at_c[1] = at_clarge; - at_clen = 2; - } - } else { - if (adytail == 0.0) { - Two_Product(adxtail, bdy, at_blarge, at_b[0]); - at_b[1] = at_blarge; - at_blen = 2; - negate = -adxtail; - Two_Product(negate, cdy, at_clarge, at_c[0]); - at_c[1] = at_clarge; - at_clen = 2; - } else { - Two_Product(adxtail, bdy, adxt_bdy1, adxt_bdy0); - Two_Product(adytail, bdx, adyt_bdx1, adyt_bdx0); - Two_Two_Diff(adxt_bdy1, adxt_bdy0, adyt_bdx1, adyt_bdx0, - at_blarge, at_b[2], at_b[1], at_b[0]); - at_b[3] = at_blarge; - at_blen = 4; - Two_Product(adytail, cdx, adyt_cdx1, adyt_cdx0); - Two_Product(adxtail, cdy, adxt_cdy1, adxt_cdy0); - Two_Two_Diff(adyt_cdx1, adyt_cdx0, adxt_cdy1, adxt_cdy0, - at_clarge, at_c[2], at_c[1], at_c[0]); - at_c[3] = at_clarge; - at_clen = 4; - } - } - if (bdxtail == 0.0) { - if (bdytail == 0.0) { - bt_c[0] = 0.0; - bt_clen = 1; - bt_a[0] = 0.0; - bt_alen = 1; - } else { - negate = -bdytail; - Two_Product(negate, cdx, bt_clarge, bt_c[0]); - bt_c[1] = bt_clarge; - bt_clen = 2; - Two_Product(bdytail, adx, bt_alarge, bt_a[0]); - bt_a[1] = bt_alarge; - bt_alen = 2; - } - } else { - if (bdytail == 0.0) { - Two_Product(bdxtail, cdy, bt_clarge, bt_c[0]); - bt_c[1] = bt_clarge; - bt_clen = 2; - negate = -bdxtail; - Two_Product(negate, ady, bt_alarge, bt_a[0]); - bt_a[1] = bt_alarge; - bt_alen = 2; - } else { - Two_Product(bdxtail, cdy, bdxt_cdy1, bdxt_cdy0); - Two_Product(bdytail, cdx, bdyt_cdx1, bdyt_cdx0); - Two_Two_Diff(bdxt_cdy1, bdxt_cdy0, bdyt_cdx1, bdyt_cdx0, - bt_clarge, bt_c[2], bt_c[1], bt_c[0]); - bt_c[3] = bt_clarge; - bt_clen = 4; - Two_Product(bdytail, adx, bdyt_adx1, bdyt_adx0); - Two_Product(bdxtail, ady, bdxt_ady1, bdxt_ady0); - Two_Two_Diff(bdyt_adx1, bdyt_adx0, bdxt_ady1, bdxt_ady0, - bt_alarge, bt_a[2], bt_a[1], bt_a[0]); - bt_a[3] = bt_alarge; - bt_alen = 4; - } - } - if (cdxtail == 0.0) { - if (cdytail == 0.0) { - ct_a[0] = 0.0; - ct_alen = 1; - ct_b[0] = 0.0; - ct_blen = 1; - } else { - negate = -cdytail; - Two_Product(negate, adx, ct_alarge, ct_a[0]); - ct_a[1] = ct_alarge; - ct_alen = 2; - Two_Product(cdytail, bdx, ct_blarge, ct_b[0]); - ct_b[1] = ct_blarge; - ct_blen = 2; - } - } else { - if (cdytail == 0.0) { - Two_Product(cdxtail, ady, ct_alarge, ct_a[0]); - ct_a[1] = ct_alarge; - ct_alen = 2; - negate = -cdxtail; - Two_Product(negate, bdy, ct_blarge, ct_b[0]); - ct_b[1] = ct_blarge; - ct_blen = 2; - } else { - Two_Product(cdxtail, ady, cdxt_ady1, cdxt_ady0); - Two_Product(cdytail, adx, cdyt_adx1, cdyt_adx0); - Two_Two_Diff(cdxt_ady1, cdxt_ady0, cdyt_adx1, cdyt_adx0, - ct_alarge, ct_a[2], ct_a[1], ct_a[0]); - ct_a[3] = ct_alarge; - ct_alen = 4; - Two_Product(cdytail, bdx, cdyt_bdx1, cdyt_bdx0); - Two_Product(cdxtail, bdy, cdxt_bdy1, cdxt_bdy0); - Two_Two_Diff(cdyt_bdx1, cdyt_bdx0, cdxt_bdy1, cdxt_bdy0, - ct_blarge, ct_b[2], ct_b[1], ct_b[0]); - ct_b[3] = ct_blarge; - ct_blen = 4; - } - } - - bctlen = fast_expansion_sum_zeroelim(bt_clen, bt_c, ct_blen, ct_b, bct); - wlength = scale_expansion_zeroelim(bctlen, bct, adheight, w); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, - finother); - finswap = finnow; finnow = finother; finother = finswap; - - catlen = fast_expansion_sum_zeroelim(ct_alen, ct_a, at_clen, at_c, cat); - wlength = scale_expansion_zeroelim(catlen, cat, bdheight, w); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, - finother); - finswap = finnow; finnow = finother; finother = finswap; - - abtlen = fast_expansion_sum_zeroelim(at_blen, at_b, bt_alen, bt_a, abt); - wlength = scale_expansion_zeroelim(abtlen, abt, cdheight, w); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, - finother); - finswap = finnow; finnow = finother; finother = finswap; - - if (adheighttail != 0.0) { - vlength = scale_expansion_zeroelim(4, bc, adheighttail, v); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, vlength, v, - finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (bdheighttail != 0.0) { - vlength = scale_expansion_zeroelim(4, ca, bdheighttail, v); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, vlength, v, - finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (cdheighttail != 0.0) { - vlength = scale_expansion_zeroelim(4, ab, cdheighttail, v); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, vlength, v, - finother); - finswap = finnow; finnow = finother; finother = finswap; - } - - if (adxtail != 0.0) { - if (bdytail != 0.0) { - Two_Product(adxtail, bdytail, adxt_bdyt1, adxt_bdyt0); - Two_One_Product(adxt_bdyt1, adxt_bdyt0, cdheight, u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - if (cdheighttail != 0.0) { - Two_One_Product(adxt_bdyt1, adxt_bdyt0, cdheighttail, - u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - } - } - if (cdytail != 0.0) { - negate = -adxtail; - Two_Product(negate, cdytail, adxt_cdyt1, adxt_cdyt0); - Two_One_Product(adxt_cdyt1, adxt_cdyt0, bdheight, u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - if (bdheighttail != 0.0) { - Two_One_Product(adxt_cdyt1, adxt_cdyt0, bdheighttail, - u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - } - } - } - if (bdxtail != 0.0) { - if (cdytail != 0.0) { - Two_Product(bdxtail, cdytail, bdxt_cdyt1, bdxt_cdyt0); - Two_One_Product(bdxt_cdyt1, bdxt_cdyt0, adheight, u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - if (adheighttail != 0.0) { - Two_One_Product(bdxt_cdyt1, bdxt_cdyt0, adheighttail, - u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - } - } - if (adytail != 0.0) { - negate = -bdxtail; - Two_Product(negate, adytail, bdxt_adyt1, bdxt_adyt0); - Two_One_Product(bdxt_adyt1, bdxt_adyt0, cdheight, u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - if (cdheighttail != 0.0) { - Two_One_Product(bdxt_adyt1, bdxt_adyt0, cdheighttail, - u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - } - } - } - if (cdxtail != 0.0) { - if (adytail != 0.0) { - Two_Product(cdxtail, adytail, cdxt_adyt1, cdxt_adyt0); - Two_One_Product(cdxt_adyt1, cdxt_adyt0, bdheight, u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - if (bdheighttail != 0.0) { - Two_One_Product(cdxt_adyt1, cdxt_adyt0, bdheighttail, - u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - } - } - if (bdytail != 0.0) { - negate = -cdxtail; - Two_Product(negate, bdytail, cdxt_bdyt1, cdxt_bdyt0); - Two_One_Product(cdxt_bdyt1, cdxt_bdyt0, adheight, u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - if (adheighttail != 0.0) { - Two_One_Product(cdxt_bdyt1, cdxt_bdyt0, adheighttail, - u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - } - } - } - - if (adheighttail != 0.0) { - wlength = scale_expansion_zeroelim(bctlen, bct, adheighttail, w); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, - finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (bdheighttail != 0.0) { - wlength = scale_expansion_zeroelim(catlen, cat, bdheighttail, w); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, - finother); - finswap = finnow; finnow = finother; finother = finswap; - } - if (cdheighttail != 0.0) { - wlength = scale_expansion_zeroelim(abtlen, abt, cdheighttail, w); - finlength = fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, - finother); - finswap = finnow; finnow = finother; finother = finswap; - } - - return finnow[finlength - 1]; -} - -#ifdef ANSI_DECLARATORS -REAL orient3d(struct mesh *m, struct behavior *b, - vertex pa, vertex pb, vertex pc, vertex pd, - REAL aheight, REAL bheight, REAL cheight, REAL dheight) -#else /* not ANSI_DECLARATORS */ -REAL orient3d(m, b, pa, pb, pc, pd, aheight, bheight, cheight, dheight) -struct mesh *m; -struct behavior *b; -vertex pa; -vertex pb; -vertex pc; -vertex pd; -REAL aheight; -REAL bheight; -REAL cheight; -REAL dheight; -#endif /* not ANSI_DECLARATORS */ - -{ - REAL adx, bdx, cdx, ady, bdy, cdy, adheight, bdheight, cdheight; - REAL bdxcdy, cdxbdy, cdxady, adxcdy, adxbdy, bdxady; - REAL det; - REAL permanent, errbound; - - m->orient3dcount++; - - adx = pa[0] - pd[0]; - bdx = pb[0] - pd[0]; - cdx = pc[0] - pd[0]; - ady = pa[1] - pd[1]; - bdy = pb[1] - pd[1]; - cdy = pc[1] - pd[1]; - adheight = aheight - dheight; - bdheight = bheight - dheight; - cdheight = cheight - dheight; - - bdxcdy = bdx * cdy; - cdxbdy = cdx * bdy; - - cdxady = cdx * ady; - adxcdy = adx * cdy; - - adxbdy = adx * bdy; - bdxady = bdx * ady; - - det = adheight * (bdxcdy - cdxbdy) - + bdheight * (cdxady - adxcdy) - + cdheight * (adxbdy - bdxady); - - if (b->noexact) { - return det; - } - - permanent = (Absolute(bdxcdy) + Absolute(cdxbdy)) * Absolute(adheight) - + (Absolute(cdxady) + Absolute(adxcdy)) * Absolute(bdheight) - + (Absolute(adxbdy) + Absolute(bdxady)) * Absolute(cdheight); - errbound = o3derrboundA * permanent; - if ((det > errbound) || (-det > errbound)) { - return det; - } - - return orient3dadapt(pa, pb, pc, pd, aheight, bheight, cheight, dheight, - permanent); -} - -/*****************************************************************************/ -/* */ -/* nonregular() Return a positive value if the point pd is incompatible */ -/* with the circle or plane passing through pa, pb, and pc */ -/* (meaning that pd is inside the circle or below the */ -/* plane); a negative value if it is compatible; and zero if */ -/* the four points are cocircular/coplanar. The points pa, */ -/* pb, and pc must be in counterclockwise order, or the sign */ -/* of the result will be reversed. */ -/* */ -/* If the -w switch is used, the points are lifted onto the parabolic */ -/* lifting map, then they are dropped according to their weights, then the */ -/* 3D orientation test is applied. If the -W switch is used, the points' */ -/* heights are already provided, so the 3D orientation test is applied */ -/* directly. If neither switch is used, the incircle test is applied. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -REAL nonregular(struct mesh *m, struct behavior *b, - vertex pa, vertex pb, vertex pc, vertex pd) -#else /* not ANSI_DECLARATORS */ -REAL nonregular(m, b, pa, pb, pc, pd) -struct mesh *m; -struct behavior *b; -vertex pa; -vertex pb; -vertex pc; -vertex pd; -#endif /* not ANSI_DECLARATORS */ - -{ - if (b->weighted == 0) { - return incircle(m, b, pa, pb, pc, pd); - } else if (b->weighted == 1) { - return orient3d(m, b, pa, pb, pc, pd, - pa[0] * pa[0] + pa[1] * pa[1] - pa[2], - pb[0] * pb[0] + pb[1] * pb[1] - pb[2], - pc[0] * pc[0] + pc[1] * pc[1] - pc[2], - pd[0] * pd[0] + pd[1] * pd[1] - pd[2]); - } else { - return orient3d(m, b, pa, pb, pc, pd, pa[2], pb[2], pc[2], pd[2]); - } -} - -/*****************************************************************************/ -/* */ -/* findcircumcenter() Find the circumcenter of a triangle. */ -/* */ -/* The result is returned both in terms of x-y coordinates and xi-eta */ -/* (barycentric) coordinates. The xi-eta coordinate system is defined in */ -/* terms of the triangle: the origin of the triangle is the origin of the */ -/* coordinate system; the destination of the triangle is one unit along the */ -/* xi axis; and the apex of the triangle is one unit along the eta axis. */ -/* This procedure also returns the square of the length of the triangle's */ -/* shortest edge. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void findcircumcenter(struct mesh *m, struct behavior *b, - vertex torg, vertex tdest, vertex tapex, - vertex circumcenter, REAL *xi, REAL *eta, REAL *minedge) -#else /* not ANSI_DECLARATORS */ -void findcircumcenter(m, b, torg, tdest, tapex, circumcenter, xi, eta, minedge) -struct mesh *m; -struct behavior *b; -vertex torg; -vertex tdest; -vertex tapex; -vertex circumcenter; -REAL *xi; -REAL *eta; -REAL *minedge; -#endif /* not ANSI_DECLARATORS */ - -{ - REAL xdo, ydo, xao, yao; - REAL dodist, aodist, dadist; - REAL denominator; - REAL dx, dy; - - m->circumcentercount++; - - /* Compute the circumcenter of the triangle. */ - xdo = tdest[0] - torg[0]; - ydo = tdest[1] - torg[1]; - xao = tapex[0] - torg[0]; - yao = tapex[1] - torg[1]; - dodist = xdo * xdo + ydo * ydo; - aodist = xao * xao + yao * yao; - dadist = (tdest[0] - tapex[0]) * (tdest[0] - tapex[0]) + - (tdest[1] - tapex[1]) * (tdest[1] - tapex[1]); - if (b->noexact) { - denominator = 0.5 / (xdo * yao - xao * ydo); - } else { - /* Use the counterclockwise() routine to ensure a positive (and */ - /* reasonably accurate) result, avoiding any possibility of */ - /* division by zero. */ - denominator = 0.5 / counterclockwise(m, b, tdest, tapex, torg); - /* Don't count the above as an orientation test. */ - m->counterclockcount--; - } - circumcenter[0] = torg[0] - (ydo * aodist - yao * dodist) * denominator; - circumcenter[1] = torg[1] + (xdo * aodist - xao * dodist) * denominator; - - /* To interpolate vertex attributes for the new vertex inserted at */ - /* the circumcenter, define a coordinate system with a xi-axis, */ - /* directed from the triangle's origin to its destination, and */ - /* an eta-axis, directed from its origin to its apex. */ - /* Calculate the xi and eta coordinates of the circumcenter. */ - dx = circumcenter[0] - torg[0]; - dy = circumcenter[1] - torg[1]; - *xi = (dx * yao - xao * dy) * (2.0 * denominator); - *eta = (xdo * dy - dx * ydo) * (2.0 * denominator); - - /* Find the length of the triangle's shortest edge. This serves as */ - /* a conservative estimate of the insertion radius of the */ - /* circumcenter's parent. The estimate is used to ensure that */ - /* the algorithm terminates even if very small angles appear in */ - /* the input PSLG. */ - *minedge = ((dodist < aodist) && (dodist < dadist)) ? dodist : - (aodist < dadist) ? aodist : dadist; -} - -/** **/ -/** **/ -/********* Geometric primitives end here *********/ - -/*****************************************************************************/ -/* */ -/* triangleinit() Initialize some variables. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void triangleinit(struct mesh *m) -#else /* not ANSI_DECLARATORS */ -void triangleinit(m) -struct mesh *m; -#endif /* not ANSI_DECLARATORS */ - -{ - m->vertices.maxitems = m->triangles.maxitems = m->subsegs.maxitems = - m->viri.maxitems = m->badsubsegs.maxitems = m->badtriangles.maxitems = - m->flipstackers.maxitems = m->splaynodes.maxitems = 0l; - m->vertices.itembytes = m->triangles.itembytes = m->subsegs.itembytes = - m->viri.itembytes = m->badsubsegs.itembytes = m->badtriangles.itembytes = - m->flipstackers.itembytes = m->splaynodes.itembytes = 0; - m->recenttri.tri = (triangle *) NULL; /* No triangle has been visited yet. */ - m->undeads = 0; /* No eliminated input vertices yet. */ - m->samples = 1; /* Point location should take at least one sample. */ - m->checksegments = 0; /* There are no segments in the triangulation yet. */ - m->checkquality = 0; /* The quality triangulation stage has not begun. */ - m->incirclecount = m->counterclockcount = m->orient3dcount = 0; - m->hyperbolacount = m->circletopcount = m->circumcentercount = 0; - randomseed = 1; - - exactinit(); /* Initialize exact arithmetic constants. */ -} - -/*****************************************************************************/ -/* */ -/* randomnation() Generate a random number between 0 and `choices' - 1. */ -/* */ -/* This is a simple linear congruential random number generator. Hence, it */ -/* is a bad random number generator, but good enough for most randomized */ -/* geometric algorithms. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -unsigned long randomnation(unsigned int choices) -#else /* not ANSI_DECLARATORS */ -unsigned long randomnation(choices) -unsigned int choices; -#endif /* not ANSI_DECLARATORS */ - -{ - randomseed = (randomseed * 1366l + 150889l) % 714025l; - return randomseed / (714025l / choices + 1); -} - -/********* Mesh quality testing routines begin here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* checkmesh() Test the mesh for topological consistency. */ -/* */ -/*****************************************************************************/ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -void checkmesh(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void checkmesh(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri triangleloop; - struct otri oppotri, oppooppotri; - vertex triorg, tridest, triapex; - vertex oppoorg, oppodest; - int horrors; - int saveexact; - triangle ptr; /* Temporary variable used by sym(). */ - - /* Temporarily turn on exact arithmetic if it's off. */ - saveexact = b->noexact; - b->noexact = 0; - if (!b->quiet) { - fprintf(stderr, " Checking consistency of mesh...\n"); - } - horrors = 0; - /* Run through the list of triangles, checking each one. */ - traversalinit(&m->triangles); - triangleloop.tri = triangletraverse(m); - while (triangleloop.tri != (triangle *) NULL) { - /* Check all three edges of the triangle. */ - for (triangleloop.orient = 0; triangleloop.orient < 3; - triangleloop.orient++) { - org(triangleloop, triorg); - dest(triangleloop, tridest); - if (triangleloop.orient == 0) { /* Only test for inversion once. */ - /* Test if the triangle is flat or inverted. */ - apex(triangleloop, triapex); - if (counterclockwise(m, b, triorg, tridest, triapex) <= 0.0) { - fprintf(stderr, " !! !! Inverted "); - printtriangle(m, b, &triangleloop); - horrors++; - } - } - /* Find the neighboring triangle on this edge. */ - sym(triangleloop, oppotri); - if (oppotri.tri != m->dummytri) { - /* Check that the triangle's neighbor knows it's a neighbor. */ - sym(oppotri, oppooppotri); - if ((triangleloop.tri != oppooppotri.tri) - || (triangleloop.orient != oppooppotri.orient)) { - fprintf(stderr, " !! !! Asymmetric triangle-triangle bond:\n"); - if (triangleloop.tri == oppooppotri.tri) { - fprintf(stderr, " (Right triangle, wrong orientation)\n"); - } - fprintf(stderr, " First "); - printtriangle(m, b, &triangleloop); - fprintf(stderr, " Second (nonreciprocating) "); - printtriangle(m, b, &oppotri); - horrors++; - } - /* Check that both triangles agree on the identities */ - /* of their shared vertices. */ - org(oppotri, oppoorg); - dest(oppotri, oppodest); - if ((triorg != oppodest) || (tridest != oppoorg)) { - fprintf(stderr, " !! !! Mismatched edge coordinates between two triangles:\n" - ); - fprintf(stderr, " First mismatched "); - printtriangle(m, b, &triangleloop); - fprintf(stderr, " Second mismatched "); - printtriangle(m, b, &oppotri); - horrors++; - } - } - } - triangleloop.tri = triangletraverse(m); - } - if (horrors == 0) { - if (!b->quiet) { - fprintf(stderr, " In my studied opinion, the mesh appears to be consistent.\n"); - } - } else if (horrors == 1) { - fprintf(stderr, " !! !! !! !! Precisely one festering wound discovered.\n"); - } else { - fprintf(stderr, " !! !! !! !! %d abominations witnessed.\n", horrors); - } - /* Restore the status of exact arithmetic. */ - b->noexact = saveexact; -} - -#endif /* not REDUCED */ - -/*****************************************************************************/ -/* */ -/* checkdelaunay() Ensure that the mesh is (constrained) Delaunay. */ -/* */ -/*****************************************************************************/ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -void checkdelaunay(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void checkdelaunay(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri triangleloop; - struct otri oppotri; - struct osub opposubseg; - vertex triorg, tridest, triapex; - vertex oppoapex; - int shouldbedelaunay; - int horrors; - int saveexact; - triangle ptr; /* Temporary variable used by sym(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - /* Temporarily turn on exact arithmetic if it's off. */ - saveexact = b->noexact; - b->noexact = 0; - if (!b->quiet) { - fprintf(stderr, " Checking Delaunay property of mesh...\n"); - } - horrors = 0; - /* Run through the list of triangles, checking each one. */ - traversalinit(&m->triangles); - triangleloop.tri = triangletraverse(m); - while (triangleloop.tri != (triangle *) NULL) { - /* Check all three edges of the triangle. */ - for (triangleloop.orient = 0; triangleloop.orient < 3; - triangleloop.orient++) { - org(triangleloop, triorg); - dest(triangleloop, tridest); - apex(triangleloop, triapex); - sym(triangleloop, oppotri); - apex(oppotri, oppoapex); - /* Only test that the edge is locally Delaunay if there is an */ - /* adjoining triangle whose pointer is larger (to ensure that */ - /* each pair isn't tested twice). */ - shouldbedelaunay = (oppotri.tri != m->dummytri) && - !deadtri(oppotri.tri) && (triangleloop.tri < oppotri.tri) && - (triorg != m->infvertex1) && (triorg != m->infvertex2) && - (triorg != m->infvertex3) && - (tridest != m->infvertex1) && (tridest != m->infvertex2) && - (tridest != m->infvertex3) && - (triapex != m->infvertex1) && (triapex != m->infvertex2) && - (triapex != m->infvertex3) && - (oppoapex != m->infvertex1) && (oppoapex != m->infvertex2) && - (oppoapex != m->infvertex3); - if (m->checksegments && shouldbedelaunay) { - /* If a subsegment separates the triangles, then the edge is */ - /* constrained, so no local Delaunay test should be done. */ - tspivot(triangleloop, opposubseg); - if (opposubseg.ss != m->dummysub){ - shouldbedelaunay = 0; - } - } - if (shouldbedelaunay) { - if (nonregular(m, b, triorg, tridest, triapex, oppoapex) > 0.0) { - if (!b->weighted) { - fprintf(stderr, " !! !! Non-Delaunay pair of triangles:\n"); - fprintf(stderr, " First non-Delaunay "); - printtriangle(m, b, &triangleloop); - fprintf(stderr, " Second non-Delaunay "); - } else { - fprintf(stderr, " !! !! Non-regular pair of triangles:\n"); - fprintf(stderr, " First non-regular "); - printtriangle(m, b, &triangleloop); - fprintf(stderr, " Second non-regular "); - } - printtriangle(m, b, &oppotri); - horrors++; - } - } - } - triangleloop.tri = triangletraverse(m); - } - if (horrors == 0) { - if (!b->quiet) { - fprintf(stderr, - " By virtue of my perceptive intelligence, I declare the mesh Delaunay.\n"); - } - } else if (horrors == 1) { - fprintf(stderr, - " !! !! !! !! Precisely one terrifying transgression identified.\n"); - } else { - fprintf(stderr, " !! !! !! !! %d obscenities viewed with horror.\n", horrors); - } - /* Restore the status of exact arithmetic. */ - b->noexact = saveexact; -} - -#endif /* not REDUCED */ - -/*****************************************************************************/ -/* */ -/* enqueuebadtriang() Add a bad triangle data structure to the end of a */ -/* queue. */ -/* */ -/* The queue is actually a set of 64 queues. I use multiple queues to give */ -/* priority to smaller angles. I originally implemented a heap, but the */ -/* queues are faster by a larger margin than I'd suspected. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -void enqueuebadtriang(struct mesh *m, struct behavior *b, - struct badtriang *badtri) -#else /* not ANSI_DECLARATORS */ -void enqueuebadtriang(m, b, badtri) -struct mesh *m; -struct behavior *b; -struct badtriang *badtri; -#endif /* not ANSI_DECLARATORS */ - -{ - int queuenumber; - int i; - - if (b->verbose > 2) { - fprintf(stderr, " Queueing bad triangle:\n"); - fprintf(stderr, " (%.12g, %.12g) (%.12g, %.12g) (%.12g, %.12g)\n", - badtri->triangorg[0], badtri->triangorg[1], - badtri->triangdest[0], badtri->triangdest[1], - badtri->triangapex[0], badtri->triangapex[1]); - } - /* Determine the appropriate queue to put the bad triangle into. */ - if (badtri->key > 0.6) { - queuenumber = (int) (160.0 * (badtri->key - 0.6)); - if (queuenumber > 63) { - queuenumber = 63; - } - } else { - /* It's not a bad angle; put the triangle in the lowest-priority queue. */ - queuenumber = 0; - } - - /* Are we inserting into an empty queue? */ - if (m->queuefront[queuenumber] == (struct badtriang *) NULL) { - /* Yes, we are inserting into an empty queue. */ - /* Will this become the highest-priority queue? */ - if (queuenumber > m->firstnonemptyq) { - /* Yes, this is the highest-priority queue. */ - m->nextnonemptyq[queuenumber] = m->firstnonemptyq; - m->firstnonemptyq = queuenumber; - } else { - /* No, this is not the highest-priority queue. */ - /* Find the queue with next higher priority. */ - i = queuenumber + 1; - while (m->queuefront[i] == (struct badtriang *) NULL) { - i++; - } - /* Mark the newly nonempty queue as following a higher-priority queue. */ - m->nextnonemptyq[queuenumber] = m->nextnonemptyq[i]; - m->nextnonemptyq[i] = queuenumber; - } - /* Put the bad triangle at the beginning of the (empty) queue. */ - m->queuefront[queuenumber] = badtri; - } else { - /* Add the bad triangle to the end of an already nonempty queue. */ - m->queuetail[queuenumber]->nexttriang = badtri; - } - /* Maintain a pointer to the last triangle of the queue. */ - m->queuetail[queuenumber] = badtri; - /* Newly enqueued bad triangle has no successor in the queue. */ - badtri->nexttriang = (struct badtriang *) NULL; -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* enqueuebadtri() Add a bad triangle to the end of a queue. */ -/* */ -/* Allocates a badtriang data structure for the triangle, then passes it to */ -/* enqueuebadtriang(). */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -void enqueuebadtri(struct mesh *m, struct behavior *b, struct otri *enqtri, - REAL angle, vertex enqapex, vertex enqorg, vertex enqdest) -#else /* not ANSI_DECLARATORS */ -void enqueuebadtri(m, b, enqtri, angle, enqapex, enqorg, enqdest) -struct mesh *m; -struct behavior *b; -struct otri *enqtri; -REAL angle; -vertex enqapex; -vertex enqorg; -vertex enqdest; -#endif /* not ANSI_DECLARATORS */ - -{ - struct badtriang *newbad; - - /* Allocate space for the bad triangle. */ - newbad = (struct badtriang *) poolalloc(&m->badtriangles); - newbad->poortri = encode(*enqtri); - newbad->key = angle; - newbad->triangapex = enqapex; - newbad->triangorg = enqorg; - newbad->triangdest = enqdest; - enqueuebadtriang(m, b, newbad); -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* dequeuebadtriang() Remove a triangle from the front of the queue. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -struct badtriang *dequeuebadtriang(struct mesh *m) -#else /* not ANSI_DECLARATORS */ -struct badtriang *dequeuebadtriang(m) -struct mesh *m; -#endif /* not ANSI_DECLARATORS */ - -{ - struct badtriang *result; - - /* If no queues are nonempty, return NULL. */ - if (m->firstnonemptyq < 0) { - return (struct badtriang *) NULL; - } - /* Find the first triangle of the highest-priority queue. */ - result = m->queuefront[m->firstnonemptyq]; - /* Remove the triangle from the queue. */ - m->queuefront[m->firstnonemptyq] = result->nexttriang; - /* If this queue is now empty, note the new highest-priority */ - /* nonempty queue. */ - if (result == m->queuetail[m->firstnonemptyq]) { - m->firstnonemptyq = m->nextnonemptyq[m->firstnonemptyq]; - } - return result; -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* under60degrees() Return 1 if the two incident input segments are */ -/* separated by an angle less than 60 degrees; */ -/* 0 otherwise. */ -/* */ -/* The two input segments MUST have the same origin. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -int under60degrees(struct osub *sub1, struct osub *sub2) { - vertex segmentapex, v1, v2; - REAL dotprod; - - sorg(*sub1, segmentapex); - sdest(*sub1, v1); - sdest(*sub2, v2); - dotprod = (v2[0] - segmentapex[0]) * (v1[0] - segmentapex[0]) + - (v2[1] - segmentapex[1]) * (v1[1] - segmentapex[1]); - return (dotprod > 0.0) && - (4.0 * dotprod * dotprod > - ((v1[0] - segmentapex[0]) * (v1[0] - segmentapex[0]) + - (v1[1] - segmentapex[1]) * (v1[1] - segmentapex[1])) * - ((v2[0] - segmentapex[0]) * (v2[0] - segmentapex[0]) + - (v2[1] - segmentapex[1]) * (v2[1] - segmentapex[1]))); -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* clockwiseseg() Find the next segment clockwise from `thissub' having */ -/* the same origin and return it as `nextsub' if the */ -/* intervening region is inside the domain. */ -/* */ -/* Returns 1 if the next segment is separated from `thissub' by less than */ -/* 60 degrees, and the intervening region is inside the domain. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -int clockwiseseg(struct mesh *m, struct osub *thissub, struct osub *nextsub) { - struct otri neighbortri; - triangle ptr; /* Temporary variable used by sym() and stpivot(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - stpivot(*thissub, neighbortri); - if (neighbortri.tri == m->dummytri) { - return 0; - } else { - lnextself(neighbortri); - tspivot(neighbortri, *nextsub); - while (nextsub->ss == m->dummysub) { - symself(neighbortri); - lnextself(neighbortri); - tspivot(neighbortri, *nextsub); - } - ssymself(*nextsub); - return under60degrees(thissub, nextsub); - } -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* counterclockwiseseg() Find the next segment counterclockwise from */ -/* `thissub' having the same origin and return it */ -/* as `nextsub' if the intervening region is inside */ -/* the domain. */ -/* */ -/* Returns 1 if the next segment is separated from `thissub' by less than */ -/* 60 degrees, and the intervening region is inside the domain. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -int counterclockwiseseg(struct mesh *m, struct osub *thissub, - struct osub *nextsub) { - struct otri neighbortri; - struct osub subsym; - triangle ptr; /* Temporary variable used by sym() and stpivot(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - ssym(*thissub, subsym); - stpivot(subsym, neighbortri); - if (neighbortri.tri == m->dummytri) { - return 0; - } else { - lprevself(neighbortri); - tspivot(neighbortri, *nextsub); - while (nextsub->ss == m->dummysub) { - symself(neighbortri); - lprevself(neighbortri); - tspivot(neighbortri, *nextsub); - } - return under60degrees(thissub, nextsub); - } -} - -#endif /* not CDT_ONLY */ - -#ifndef CDT_ONLY - -/*****************************************************************************/ -/* */ -/* splitpermitted() Return 1 if `testsubseg' is part of a subsegment */ -/* cluster that is eligible for splitting. */ -/* */ -/* The term "subsegment cluster" is formally defined in my paper "Mesh */ -/* Generation for Domains with Small Angles." The algorithm that uses this */ -/* procedure is also described there. */ -/* */ -/* A subsegment cluster is eligible for splitting if (1) it includes a */ -/* subsegment whose length is not a power of two, (2) its subsegments are */ -/* not all the same length, or (3) no new edge that will be created by */ -/* splitting all the subsegments in the cluster has a length shorter than */ -/* the insertion radius of the encroaching vertex, whose square is given */ -/* as the parameter `iradius'. Note that the shortest edges created by */ -/* splitting a cluster are those whose endpoints are both subsegment */ -/* midpoints introduced when the cluster is split. */ -/* */ -/* `testsubseg' is also eligible for splitting (and a 1 will be returned) */ -/* if it is part of two subsegment clusters; one at its origin and one at */ -/* its destination. */ -/* */ -/*****************************************************************************/ - -int splitpermitted(struct mesh *m, struct osub *testsubseg, REAL iradius) { - struct osub cwsubseg, ccwsubseg, cwsubseg2, ccwsubseg2; - struct osub testsym; - struct osub startsubseg, nowsubseg; - vertex suborg, dest1, dest2; - REAL nearestpoweroffour, seglength, prevseglength, edgelength; - int cwsmall, ccwsmall, cwsmall2, ccwsmall2; - int orgcluster, destcluster; - int toosmall; - - /* Find the square of the subsegment's length, and the nearest power of */ - /* four (which is the square of the nearest power of two to the */ - /* subsegment's length). */ - sorg(*testsubseg, suborg); - sdest(*testsubseg, dest1); - seglength = (dest1[0] - suborg[0]) * (dest1[0] - suborg[0]) + - (dest1[1] - suborg[1]) * (dest1[1] - suborg[1]); - nearestpoweroffour = 1.0; - while (seglength > 2.0 * nearestpoweroffour) { - nearestpoweroffour *= 4.0; - } - while (seglength < 0.5 * nearestpoweroffour) { - nearestpoweroffour *= 0.25; - } - /* If the segment's length is not a power of two, the segment */ - /* is eligible for splitting. */ - if ((nearestpoweroffour > 1.001 * seglength) || - (nearestpoweroffour < 0.999 * seglength)) { - return 1; - } - - /* Is `testsubseg' part of a subsegment cluster at its origin? */ - cwsmall = clockwiseseg(m, testsubseg, &cwsubseg); - ccwsmall = cwsmall ? 0 : counterclockwiseseg(m, testsubseg, &ccwsubseg); - orgcluster = cwsmall || ccwsmall; - - /* Is `testsubseg' part of a subsegment cluster at its destination? */ - ssym(*testsubseg, testsym); - cwsmall2 = clockwiseseg(m, &testsym, &cwsubseg2); - ccwsmall2 = cwsmall2 ? 0 : counterclockwiseseg(m, &testsym, &ccwsubseg2); - destcluster = cwsmall2 || ccwsmall2; - - if (orgcluster == destcluster) { - /* `testsubseg' is part of two clusters or none, */ - /* and thus should be split. */ - return 1; - } else if (orgcluster) { - /* `testsubseg' is part of a cluster at its origin. */ - subsegcopy(*testsubseg, startsubseg); - } else { - /* `testsubseg' is part of a cluster at its destination; switch to */ - /* the symmetric case, so we can use the same code to handle it. */ - subsegcopy(testsym, startsubseg); - subsegcopy(cwsubseg2, cwsubseg); - subsegcopy(ccwsubseg2, ccwsubseg); - cwsmall = cwsmall2; - ccwsmall = ccwsmall2; - } - - toosmall = 0; - if (cwsmall) { - /* Check the subsegment(s) clockwise from `testsubseg'. */ - subsegcopy(startsubseg, nowsubseg); - sorg(nowsubseg, suborg); - sdest(nowsubseg, dest1); - prevseglength = nearestpoweroffour; - do { - /* Is the next subsegment shorter than `startsubseg'? */ - sdest(cwsubseg, dest2); - seglength = (dest2[0] - suborg[0]) * (dest2[0] - suborg[0]) + - (dest2[1] - suborg[1]) * (dest2[1] - suborg[1]); - if (nearestpoweroffour > 1.001 * seglength) { - /* It's shorter; it's safe to split `startsubseg'. */ - return 1; - } - /* If the current and previous subsegments are split to a length */ - /* half that of `startsubseg' (which is a likely consequence if */ - /* `startsubseg' is split), what will be (the square of) the */ - /* length of the free edge between the splitting vertices? */ - edgelength = 0.5 * nearestpoweroffour * - (1 - (((dest1[0] - suborg[0]) * (dest2[0] - suborg[0]) + - (dest1[1] - suborg[1]) * (dest2[1] - suborg[1])) / - sqrt(prevseglength * seglength))); - if (edgelength < iradius) { - /* If this cluster is split, the new edge dest1-dest2 will be */ - /* smaller than the insertion radius of the encroaching vertex. */ - /* Hence, we'd prefer to avoid splitting it if possible. */ - toosmall = 1; - } - if (cwsubseg.ss == startsubseg.ss) { - /* We've gone all the way around the vertex. Split the cluster */ - /* if no edges will be too short. */ - return !toosmall; - } - - /* Find the next subsegment clockwise around the vertex. */ - subsegcopy(cwsubseg, nowsubseg); - dest1 = dest2; - prevseglength = seglength; - cwsmall = clockwiseseg(m, &nowsubseg, &cwsubseg); - } while (cwsmall); - - /* Prepare to start searching counterclockwise from */ - /* the starting subsegment. */ - ccwsmall = counterclockwiseseg(m, &startsubseg, &ccwsubseg); - } - - if (ccwsmall) { - /* Check the subsegment(s) counterclockwise from `testsubseg'. */ - subsegcopy(startsubseg, nowsubseg); - sorg(nowsubseg, suborg); - sdest(nowsubseg, dest1); - prevseglength = nearestpoweroffour; - do { - /* Is the next subsegment shorter than `startsubseg'? */ - sdest(ccwsubseg, dest2); - seglength = (dest2[0] - suborg[0]) * (dest2[0] - suborg[0]) + - (dest2[1] - suborg[1]) * (dest2[1] - suborg[1]); - if (nearestpoweroffour > 1.001 * seglength) { - /* It's shorter; it's safe to split `startsubseg'. */ - return 1; - } - /* half that of `startsubseg' (which is a likely consequence if */ - /* `startsubseg' is split), what will be (the square of) the */ - /* length of the free edge between the splitting vertices? */ - edgelength = 0.5 * nearestpoweroffour * - (1 - (((dest1[0] - suborg[0]) * (dest2[0] - suborg[0]) + - (dest1[1] - suborg[1]) * (dest2[1] - suborg[1])) / - sqrt(prevseglength * seglength))); - if (edgelength < iradius) { - /* If this cluster is split, the new edge dest1-dest2 will be */ - /* smaller than the insertion radius of the encroaching vertex. */ - /* Hence, we'd prefer to avoid splitting it if possible. */ - toosmall = 1; - } - if (ccwsubseg.ss == startsubseg.ss) { - /* We've gone all the way around the vertex. Split the cluster */ - /* if no edges will be too short. */ - return !toosmall; - } - - /* Find the next subsegment counterclockwise around the vertex. */ - subsegcopy(ccwsubseg, nowsubseg); - dest1 = dest2; - prevseglength = seglength; - ccwsmall = counterclockwiseseg(m, &nowsubseg, &ccwsubseg); - } while (ccwsmall); - } - - /* We've found every subsegment in the cluster. Split the cluster */ - /* if no edges will be too short. */ - return !toosmall; -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* checkseg4encroach() Check a subsegment to see if it is encroached; add */ -/* it to the list if it is. */ -/* */ -/* A subsegment is encroached if there is a vertex in its diametral circle */ -/* (that is, the subsegment faces an angle greater than 90 degrees). This */ -/* definition is due to Ruppert. */ -/* */ -/* Returns a nonzero value if the subsegment is encroached. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -int checkseg4encroach(struct mesh *m, struct behavior *b, - struct osub *testsubseg, REAL iradius) -#else /* not ANSI_DECLARATORS */ -int checkseg4encroach(m, b, testsubseg, iradius) -struct mesh *m; -struct behavior *b; -struct osub *testsubseg; -REAL iradius; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri neighbortri; - struct osub testsym; - struct badsubseg *encroachedseg; - REAL dotproduct; - int encroached; - int sides; - int enq; - vertex eorg, edest, eapex; - triangle ptr; /* Temporary variable used by stpivot(). */ - - encroached = 0; - sides = 0; - - sorg(*testsubseg, eorg); - sdest(*testsubseg, edest); - /* Check one neighbor of the subsegment. */ - stpivot(*testsubseg, neighbortri); - /* Does the neighbor exist, or is this a boundary edge? */ - if (neighbortri.tri != m->dummytri) { - sides++; - /* Find a vertex opposite this subsegment. */ - apex(neighbortri, eapex); - /* Check whether the apex is in the diametral lens of the subsegment */ - /* (or the diametral circle, if `nolenses' is set). A dot product */ - /* of two sides of the triangle is used to check whether the angle */ - /* at the apex is greater than 120 degrees (for lenses; 90 degrees */ - /* for diametral circles). */ - dotproduct = (eorg[0] - eapex[0]) * (edest[0] - eapex[0]) + - (eorg[1] - eapex[1]) * (edest[1] - eapex[1]); - if (dotproduct < 0.0) { - if (b->nolenses || - (dotproduct * dotproduct >= - 0.25 * ((eorg[0] - eapex[0]) * (eorg[0] - eapex[0]) + - (eorg[1] - eapex[1]) * (eorg[1] - eapex[1])) * - ((edest[0] - eapex[0]) * (edest[0] - eapex[0]) + - (edest[1] - eapex[1]) * (edest[1] - eapex[1])))) { - encroached = 1; - } - } - } - /* Check the other neighbor of the subsegment. */ - ssym(*testsubseg, testsym); - stpivot(testsym, neighbortri); - /* Does the neighbor exist, or is this a boundary edge? */ - if (neighbortri.tri != m->dummytri) { - sides++; - /* Find the other vertex opposite this subsegment. */ - apex(neighbortri, eapex); - /* Check whether the apex is in the diametral lens of the subsegment */ - /* (or the diametral circle, if `nolenses' is set). */ - dotproduct = (eorg[0] - eapex[0]) * (edest[0] - eapex[0]) + - (eorg[1] - eapex[1]) * (edest[1] - eapex[1]); - if (dotproduct < 0.0) { - if (b->nolenses || - (dotproduct * dotproduct >= - 0.25 * ((eorg[0] - eapex[0]) * (eorg[0] - eapex[0]) + - (eorg[1] - eapex[1]) * (eorg[1] - eapex[1])) * - ((edest[0] - eapex[0]) * (edest[0] - eapex[0]) + - (edest[1] - eapex[1]) * (edest[1] - eapex[1])))) { - encroached += 2; - } - } - } - - if (encroached && (!b->nobisect || ((b->nobisect == 1) && (sides == 2)))) { - /* Decide whether `testsubseg' should be split. */ - if (iradius > 0.0) { - /* The encroaching vertex is a triangle circumcenter, which will be */ - /* rejected. Hence, `testsubseg' probably should be split, unless */ - /* it is part of a subsegment cluster which, according to the rules */ - /* described in my paper "Mesh Generation for Domains with Small */ - /* Angles," should not be split. */ - enq = splitpermitted(m, testsubseg, iradius); - } else { - /* The encroaching vertex is an input vertex or was inserted in a */ - /* subsegment, so the encroached subsegment must be split. */ - enq = 1; - } - if (enq) { - if (b->verbose > 2) { - fprintf(stderr, - " Queueing encroached subsegment (%.12g, %.12g) (%.12g, %.12g).\n", - eorg[0], eorg[1], edest[0], edest[1]); - } - /* Add the subsegment to the list of encroached subsegments. */ - /* Be sure to get the orientation right. */ - encroachedseg = (struct badsubseg *) poolalloc(&m->badsubsegs); - if (encroached == 1) { - encroachedseg->encsubseg = sencode(*testsubseg); - encroachedseg->subsegorg = eorg; - encroachedseg->subsegdest = edest; - } else { - encroachedseg->encsubseg = sencode(testsym); - encroachedseg->subsegorg = edest; - encroachedseg->subsegdest = eorg; - } - } - } - - return encroached; -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* testtriangle() Test a face for quality measures. */ -/* */ -/* Tests a triangle to see if it satisfies the minimum angle condition and */ -/* the maximum area condition. Triangles that aren't up to spec are added */ -/* to the bad triangle queue. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -void testtriangle(struct mesh *m, struct behavior *b, struct otri *testtri) -#else /* not ANSI_DECLARATORS */ -void testtriangle(m, b, testtri) -struct mesh *m; -struct behavior *b; -struct otri *testtri; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri sametesttri; - struct osub subseg1, subseg2; - vertex torg, tdest, tapex; - vertex anglevertex; - REAL dxod, dyod, dxda, dyda, dxao, dyao; - REAL dxod2, dyod2, dxda2, dyda2, dxao2, dyao2; - REAL apexlen, orglen, destlen; - REAL angle; - REAL area; - subseg sptr; /* Temporary variable used by tspivot(). */ - - org(*testtri, torg); - dest(*testtri, tdest); - apex(*testtri, tapex); - dxod = torg[0] - tdest[0]; - dyod = torg[1] - tdest[1]; - dxda = tdest[0] - tapex[0]; - dyda = tdest[1] - tapex[1]; - dxao = tapex[0] - torg[0]; - dyao = tapex[1] - torg[1]; - dxod2 = dxod * dxod; - dyod2 = dyod * dyod; - dxda2 = dxda * dxda; - dyda2 = dyda * dyda; - dxao2 = dxao * dxao; - dyao2 = dyao * dyao; - /* Find the lengths of the triangle's three edges. */ - apexlen = dxod2 + dyod2; - orglen = dxda2 + dyda2; - destlen = dxao2 + dyao2; - if ((apexlen < orglen) && (apexlen < destlen)) { - /* The edge opposite the apex is shortest. */ - /* Find the square of the cosine of the angle at the apex. */ - angle = dxda * dxao + dyda * dyao; - angle = angle * angle / (orglen * destlen); - anglevertex = tapex; - lnext(*testtri, sametesttri); - tspivot(sametesttri, subseg1); - lnextself(sametesttri); - tspivot(sametesttri, subseg2); - } else if (orglen < destlen) { - /* The edge opposite the origin is shortest. */ - /* Find the square of the cosine of the angle at the origin. */ - angle = dxod * dxao + dyod * dyao; - angle = angle * angle / (apexlen * destlen); - anglevertex = torg; - tspivot(*testtri, subseg1); - lprev(*testtri, sametesttri); - tspivot(sametesttri, subseg2); - } else { - /* The edge opposite the destination is shortest. */ - /* Find the square of the cosine of the angle at the destination. */ - angle = dxod * dxda + dyod * dyda; - angle = angle * angle / (apexlen * orglen); - anglevertex = tdest; - tspivot(*testtri, subseg1); - lnext(*testtri, sametesttri); - tspivot(sametesttri, subseg2); - } - - /* Check if both edges that form the angle are segments. */ - if ((subseg1.ss != m->dummysub) && (subseg2.ss != m->dummysub)) { - /* The angle is a segment intersection. Don't add this bad triangle to */ - /* the list; there's nothing that can be done about a small angle */ - /* between two segments. */ - angle = 0.0; - } - - /* Check whether the angle is smaller than permitted. */ - if (angle > b->goodangle) { - /* Add this triangle to the list of bad triangles. */ - enqueuebadtri(m, b, testtri, angle, tapex, torg, tdest); - return; - } - - if (b->vararea || b->fixedarea || b->usertest) { - /* Check whether the area is larger than permitted. */ - area = 0.5 * (dxod * dyda - dyod * dxda); - if (b->fixedarea && (area > b->maxarea)) { - /* Add this triangle to the list of bad triangles. */ - enqueuebadtri(m, b, testtri, angle, tapex, torg, tdest); - return; - } - - /* Nonpositive area constraints are treated as unconstrained. */ - if ((b->vararea) && (area > areabound(*testtri)) && - (areabound(*testtri) > 0.0)) { - /* Add this triangle to the list of bad triangles. */ - enqueuebadtri(m, b, testtri, angle, tapex, torg, tdest); - return; - } - - if (b->usertest) { - /* Check whether the user thinks this triangle is too large. */ - if (triunsuitable(torg, tdest, tapex, area)) { - enqueuebadtri(m, b, testtri, angle, tapex, torg, tdest); - return; - } - } - } -} - -#endif /* not CDT_ONLY */ - -/** **/ -/** **/ -/********* Mesh quality testing routines end here *********/ - -/********* Point location routines begin here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* makevertexmap() Construct a mapping from vertices to triangles to */ -/* improve the speed of point location for segment */ -/* insertion. */ -/* */ -/* Traverses all the triangles, and provides each corner of each triangle */ -/* with a pointer to that triangle. Of course, pointers will be */ -/* overwritten by other pointers because (almost) each vertex is a corner */ -/* of several triangles, but in the end every vertex will point to some */ -/* triangle that contains it. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void makevertexmap(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void makevertexmap(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri triangleloop; - vertex triorg; - - if (b->verbose) { - fprintf(stderr, " Constructing mapping from vertices to triangles.\n"); - } - traversalinit(&m->triangles); - triangleloop.tri = triangletraverse(m); - while (triangleloop.tri != (triangle *) NULL) { - /* Check all three vertices of the triangle. */ - for (triangleloop.orient = 0; triangleloop.orient < 3; - triangleloop.orient++) { - org(triangleloop, triorg); - setvertex2tri(triorg, encode(triangleloop)); - } - triangleloop.tri = triangletraverse(m); - } -} - -/*****************************************************************************/ -/* */ -/* preciselocate() Find a triangle or edge containing a given point. */ -/* */ -/* Begins its search from `searchtri'. It is important that `searchtri' */ -/* be a handle with the property that `searchpoint' is strictly to the left */ -/* of the edge denoted by `searchtri', or is collinear with that edge and */ -/* does not intersect that edge. (In particular, `searchpoint' should not */ -/* be the origin or destination of that edge.) */ -/* */ -/* These conditions are imposed because preciselocate() is normally used in */ -/* one of two situations: */ -/* */ -/* (1) To try to find the location to insert a new point. Normally, we */ -/* know an edge that the point is strictly to the left of. In the */ -/* incremental Delaunay algorithm, that edge is a bounding box edge. */ -/* In Ruppert's Delaunay refinement algorithm for quality meshing, */ -/* that edge is the shortest edge of the triangle whose circumcenter */ -/* is being inserted. */ -/* */ -/* (2) To try to find an existing point. In this case, any edge on the */ -/* convex hull is a good starting edge. You must screen out the */ -/* possibility that the vertex sought is an endpoint of the starting */ -/* edge before you call preciselocate(). */ -/* */ -/* On completion, `searchtri' is a triangle that contains `searchpoint'. */ -/* */ -/* This implementation differs from that given by Guibas and Stolfi. It */ -/* walks from triangle to triangle, crossing an edge only if `searchpoint' */ -/* is on the other side of the line containing that edge. After entering */ -/* a triangle, there are two edges by which one can leave that triangle. */ -/* If both edges are valid (`searchpoint' is on the other side of both */ -/* edges), one of the two is chosen by drawing a line perpendicular to */ -/* the entry edge (whose endpoints are `forg' and `fdest') passing through */ -/* `fapex'. Depending on which side of this perpendicular `searchpoint' */ -/* falls on, an exit edge is chosen. */ -/* */ -/* This implementation is empirically faster than the Guibas and Stolfi */ -/* point location routine (which I originally used), which tends to spiral */ -/* in toward its target. */ -/* */ -/* Returns ONVERTEX if the point lies on an existing vertex. `searchtri' */ -/* is a handle whose origin is the existing vertex. */ -/* */ -/* Returns ONEDGE if the point lies on a mesh edge. `searchtri' is a */ -/* handle whose primary edge is the edge on which the point lies. */ -/* */ -/* Returns INTRIANGLE if the point lies strictly within a triangle. */ -/* `searchtri' is a handle on the triangle that contains the point. */ -/* */ -/* Returns OUTSIDE if the point lies outside the mesh. `searchtri' is a */ -/* handle whose primary edge the point is to the right of. This might */ -/* occur when the circumcenter of a triangle falls just slightly outside */ -/* the mesh due to floating-point roundoff error. It also occurs when */ -/* seeking a hole or region point that a foolish user has placed outside */ -/* the mesh. */ -/* */ -/* If `stopatsubsegment' is nonzero, the search will stop if it tries to */ -/* walk through a subsegment, and will return OUTSIDE. */ -/* */ -/* WARNING: This routine is designed for convex triangulations, and will */ -/* not generally work after the holes and concavities have been carved. */ -/* However, it can still be used to find the circumcenter of a triangle, as */ -/* long as the search is begun from the triangle in question. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -enum locateresult preciselocate(struct mesh *m, struct behavior *b, - vertex searchpoint, struct otri *searchtri, - int stopatsubsegment) -#else /* not ANSI_DECLARATORS */ -enum locateresult preciselocate(m, b, searchpoint, searchtri, stopatsubsegment) -struct mesh *m; -struct behavior *b; -vertex searchpoint; -struct otri *searchtri; -int stopatsubsegment; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri backtracktri; - struct osub checkedge; - vertex forg, fdest, fapex; - REAL orgorient, destorient; - int moveleft; - triangle ptr; /* Temporary variable used by sym(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - if (b->verbose > 2) { - fprintf(stderr, " Searching for point (%.12g, %.12g).\n", - searchpoint[0], searchpoint[1]); - } - /* Where are we? */ - org(*searchtri, forg); - dest(*searchtri, fdest); - apex(*searchtri, fapex); - while (1) { - if (b->verbose > 2) { - fprintf(stderr, " At (%.12g, %.12g) (%.12g, %.12g) (%.12g, %.12g)\n", - forg[0], forg[1], fdest[0], fdest[1], fapex[0], fapex[1]); - } - /* Check whether the apex is the point we seek. */ - if ((fapex[0] == searchpoint[0]) && (fapex[1] == searchpoint[1])) { - lprevself(*searchtri); - return ONVERTEX; - } - /* Does the point lie on the other side of the line defined by the */ - /* triangle edge opposite the triangle's destination? */ - destorient = counterclockwise(m, b, forg, fapex, searchpoint); - /* Does the point lie on the other side of the line defined by the */ - /* triangle edge opposite the triangle's origin? */ - orgorient = counterclockwise(m, b, fapex, fdest, searchpoint); - if (destorient > 0.0) { - if (orgorient > 0.0) { - /* Move left if the inner product of (fapex - searchpoint) and */ - /* (fdest - forg) is positive. This is equivalent to drawing */ - /* a line perpendicular to the line (forg, fdest) and passing */ - /* through `fapex', and determining which side of this line */ - /* `searchpoint' falls on. */ - moveleft = (fapex[0] - searchpoint[0]) * (fdest[0] - forg[0]) + - (fapex[1] - searchpoint[1]) * (fdest[1] - forg[1]) > 0.0; - } else { - moveleft = 1; - } - } else { - if (orgorient > 0.0) { - moveleft = 0; - } else { - /* The point we seek must be on the boundary of or inside this */ - /* triangle. */ - if (destorient == 0.0) { - lprevself(*searchtri); - return ONEDGE; - } - if (orgorient == 0.0) { - lnextself(*searchtri); - return ONEDGE; - } - return INTRIANGLE; - } - } - - /* Move to another triangle. Leave a trace `backtracktri' in case */ - /* floating-point roundoff or some such bogey causes us to walk */ - /* off a boundary of the triangulation. */ - if (moveleft) { - lprev(*searchtri, backtracktri); - fdest = fapex; - } else { - lnext(*searchtri, backtracktri); - forg = fapex; - } - sym(backtracktri, *searchtri); - - if (m->checksegments && stopatsubsegment) { - /* Check for walking through a subsegment. */ - tspivot(backtracktri, checkedge); - if (checkedge.ss != m->dummysub) { - /* Go back to the last triangle. */ - otricopy(backtracktri, *searchtri); - return OUTSIDE; - } - } - /* Check for walking right out of the triangulation. */ - if (searchtri->tri == m->dummytri) { - /* Go back to the last triangle. */ - otricopy(backtracktri, *searchtri); - return OUTSIDE; - } - - apex(*searchtri, fapex); - } -} - -/*****************************************************************************/ -/* */ -/* locate() Find a triangle or edge containing a given point. */ -/* */ -/* Searching begins from one of: the input `searchtri', a recently */ -/* encountered triangle `recenttri', or from a triangle chosen from a */ -/* random sample. The choice is made by determining which triangle's */ -/* origin is closest to the point we are searching for. Normally, */ -/* `searchtri' should be a handle on the convex hull of the triangulation. */ -/* */ -/* Details on the random sampling method can be found in the Mucke, Saias, */ -/* and Zhu paper cited in the header of this code. */ -/* */ -/* On completion, `searchtri' is a triangle that contains `searchpoint'. */ -/* */ -/* Returns ONVERTEX if the point lies on an existing vertex. `searchtri' */ -/* is a handle whose origin is the existing vertex. */ -/* */ -/* Returns ONEDGE if the point lies on a mesh edge. `searchtri' is a */ -/* handle whose primary edge is the edge on which the point lies. */ -/* */ -/* Returns INTRIANGLE if the point lies strictly within a triangle. */ -/* `searchtri' is a handle on the triangle that contains the point. */ -/* */ -/* Returns OUTSIDE if the point lies outside the mesh. `searchtri' is a */ -/* handle whose primary edge the point is to the right of. This might */ -/* occur when the circumcenter of a triangle falls just slightly outside */ -/* the mesh due to floating-point roundoff error. It also occurs when */ -/* seeking a hole or region point that a foolish user has placed outside */ -/* the mesh. */ -/* */ -/* WARNING: This routine is designed for convex triangulations, and will */ -/* not generally work after the holes and concavities have been carved. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -enum locateresult locate(struct mesh *m, struct behavior *b, - vertex searchpoint, struct otri *searchtri) -#else /* not ANSI_DECLARATORS */ -enum locateresult locate(m, b, searchpoint, searchtri) -struct mesh *m; -struct behavior *b; -vertex searchpoint; -struct otri *searchtri; -#endif /* not ANSI_DECLARATORS */ - -{ - VOID **sampleblock; - triangle *firsttri; - struct otri sampletri; - vertex torg, tdest; - unsigned long alignptr; - REAL searchdist, dist; - REAL ahead; - long sampleblocks, samplesperblock, samplenum; - long triblocks; - long i, j; - triangle ptr; /* Temporary variable used by sym(). */ - - if (b->verbose > 2) { - fprintf(stderr, " Randomly sampling for a triangle near point (%.12g, %.12g).\n", - searchpoint[0], searchpoint[1]); - } - /* Record the distance from the suggested starting triangle to the */ - /* point we seek. */ - org(*searchtri, torg); - searchdist = (searchpoint[0] - torg[0]) * (searchpoint[0] - torg[0]) + - (searchpoint[1] - torg[1]) * (searchpoint[1] - torg[1]); - if (b->verbose > 2) { - fprintf(stderr, " Boundary triangle has origin (%.12g, %.12g).\n", - torg[0], torg[1]); - } - - /* If a recently encountered triangle has been recorded and has not been */ - /* deallocated, test it as a good starting point. */ - if (m->recenttri.tri != (triangle *) NULL) { - if (!deadtri(m->recenttri.tri)) { - org(m->recenttri, torg); - if ((torg[0] == searchpoint[0]) && (torg[1] == searchpoint[1])) { - otricopy(m->recenttri, *searchtri); - return ONVERTEX; - } - dist = (searchpoint[0] - torg[0]) * (searchpoint[0] - torg[0]) + - (searchpoint[1] - torg[1]) * (searchpoint[1] - torg[1]); - if (dist < searchdist) { - otricopy(m->recenttri, *searchtri); - searchdist = dist; - if (b->verbose > 2) { - fprintf(stderr, " Choosing recent triangle with origin (%.12g, %.12g).\n", - torg[0], torg[1]); - } - } - } - } - - /* The number of random samples taken is proportional to the cube root of */ - /* the number of triangles in the mesh. The next bit of code assumes */ - /* that the number of triangles increases monotonically. */ - while (SAMPLEFACTOR * m->samples * m->samples * m->samples < - m->triangles.items) { - m->samples++; - } - triblocks = (m->triangles.maxitems + TRIPERBLOCK - 1) / TRIPERBLOCK; - samplesperblock = (m->samples + triblocks - 1) / triblocks; - sampleblocks = m->samples / samplesperblock; - sampleblock = m->triangles.firstblock; - sampletri.orient = 0; - for (i = 0; i < sampleblocks; i++) { - alignptr = (unsigned long) (sampleblock + 1); - firsttri = (triangle *) (alignptr + (unsigned long) m->triangles.alignbytes - - (alignptr % (unsigned long) m->triangles.alignbytes)); - for (j = 0; j < samplesperblock; j++) { - if (i == triblocks - 1) { - samplenum = randomnation((int) - (m->triangles.maxitems - (i * TRIPERBLOCK))); - } else { - samplenum = randomnation(TRIPERBLOCK); - } - sampletri.tri = (triangle *) - (firsttri + (samplenum * m->triangles.itemwords)); - if (!deadtri(sampletri.tri)) { - org(sampletri, torg); - dist = (searchpoint[0] - torg[0]) * (searchpoint[0] - torg[0]) + - (searchpoint[1] - torg[1]) * (searchpoint[1] - torg[1]); - if (dist < searchdist) { - otricopy(sampletri, *searchtri); - searchdist = dist; - if (b->verbose > 2) { - fprintf(stderr, " Choosing triangle with origin (%.12g, %.12g).\n", - torg[0], torg[1]); - } - } - } - } - sampleblock = (VOID **) *sampleblock; - } - - /* Where are we? */ - org(*searchtri, torg); - dest(*searchtri, tdest); - /* Check the starting triangle's vertices. */ - if ((torg[0] == searchpoint[0]) && (torg[1] == searchpoint[1])) { - return ONVERTEX; - } - if ((tdest[0] == searchpoint[0]) && (tdest[1] == searchpoint[1])) { - lnextself(*searchtri); - return ONVERTEX; - } - /* Orient `searchtri' to fit the preconditions of calling preciselocate(). */ - ahead = counterclockwise(m, b, torg, tdest, searchpoint); - if (ahead < 0.0) { - /* Turn around so that `searchpoint' is to the left of the */ - /* edge specified by `searchtri'. */ - symself(*searchtri); - } else if (ahead == 0.0) { - /* Check if `searchpoint' is between `torg' and `tdest'. */ - if (((torg[0] < searchpoint[0]) == (searchpoint[0] < tdest[0])) && - ((torg[1] < searchpoint[1]) == (searchpoint[1] < tdest[1]))) { - return ONEDGE; - } - } - return preciselocate(m, b, searchpoint, searchtri, 0); -} - -/** **/ -/** **/ -/********* Point location routines end here *********/ - -/********* Mesh transformation routines begin here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* insertsubseg() Create a new subsegment and insert it between two */ -/* triangles. */ -/* */ -/* The new subsegment is inserted at the edge described by the handle */ -/* `tri'. Its vertices are properly initialized. The marker `subsegmark' */ -/* is applied to the subsegment and, if appropriate, its vertices. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void insertsubseg(struct mesh *m, struct behavior *b, struct otri *tri, - int subsegmark) -#else /* not ANSI_DECLARATORS */ -void insertsubseg(m, b, tri, subsegmark) -struct mesh *m; -struct behavior *b; -struct otri *tri; /* Edge at which to insert the new subsegment. */ -int subsegmark; /* Marker for the new subsegment. */ -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri oppotri; - struct osub newsubseg; - vertex triorg, tridest; - triangle ptr; /* Temporary variable used by sym(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - org(*tri, triorg); - dest(*tri, tridest); - /* Mark vertices if possible. */ - if (vertexmark(triorg) == 0) { - setvertexmark(triorg, subsegmark); - } - if (vertexmark(tridest) == 0) { - setvertexmark(tridest, subsegmark); - } - /* Check if there's already a subsegment here. */ - tspivot(*tri, newsubseg); - if (newsubseg.ss == m->dummysub) { - /* Make new subsegment and initialize its vertices. */ - makesubseg(m, &newsubseg); - setsorg(newsubseg, tridest); - setsdest(newsubseg, triorg); - /* Bond new subsegment to the two triangles it is sandwiched between. */ - /* Note that the facing triangle `oppotri' might be equal to */ - /* `dummytri' (outer space), but the new subsegment is bonded to it */ - /* all the same. */ - tsbond(*tri, newsubseg); - sym(*tri, oppotri); - ssymself(newsubseg); - tsbond(oppotri, newsubseg); - setmark(newsubseg, subsegmark); - if (b->verbose > 2) { - fprintf(stderr, " Inserting new "); - printsubseg(m, b, &newsubseg); - } - } else { - if (mark(newsubseg) == 0) { - setmark(newsubseg, subsegmark); - } - } -} - -/*****************************************************************************/ -/* */ -/* Terminology */ -/* */ -/* A "local transformation" replaces a small set of triangles with another */ -/* set of triangles. This may or may not involve inserting or deleting a */ -/* vertex. */ -/* */ -/* The term "casing" is used to describe the set of triangles that are */ -/* attached to the triangles being transformed, but are not transformed */ -/* themselves. Think of the casing as a fixed hollow structure inside */ -/* which all the action happens. A "casing" is only defined relative to */ -/* a single transformation; each occurrence of a transformation will */ -/* involve a different casing. */ -/* */ -/*****************************************************************************/ - -/*****************************************************************************/ -/* */ -/* flip() Transform two triangles to two different triangles by flipping */ -/* an edge counterclockwise within a quadrilateral. */ -/* */ -/* Imagine the original triangles, abc and bad, oriented so that the */ -/* shared edge ab lies in a horizontal plane, with the vertex b on the left */ -/* and the vertex a on the right. The vertex c lies below the edge, and */ -/* the vertex d lies above the edge. The `flipedge' handle holds the edge */ -/* ab of triangle abc, and is directed left, from vertex a to vertex b. */ -/* */ -/* The triangles abc and bad are deleted and replaced by the triangles cdb */ -/* and dca. The triangles that represent abc and bad are NOT deallocated; */ -/* they are reused for dca and cdb, respectively. Hence, any handles that */ -/* may have held the original triangles are still valid, although not */ -/* directed as they were before. */ -/* */ -/* Upon completion of this routine, the `flipedge' handle holds the edge */ -/* dc of triangle dca, and is directed down, from vertex d to vertex c. */ -/* (Hence, the two triangles have rotated counterclockwise.) */ -/* */ -/* WARNING: This transformation is geometrically valid only if the */ -/* quadrilateral adbc is convex. Furthermore, this transformation is */ -/* valid only if there is not a subsegment between the triangles abc and */ -/* bad. This routine does not check either of these preconditions, and */ -/* it is the responsibility of the calling routine to ensure that they are */ -/* met. If they are not, the streets shall be filled with wailing and */ -/* gnashing of teeth. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void flip(struct mesh *m, struct behavior *b, struct otri *flipedge) -#else /* not ANSI_DECLARATORS */ -void flip(m, b, flipedge) -struct mesh *m; -struct behavior *b; -struct otri *flipedge; /* Handle for the triangle abc. */ -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri botleft, botright; - struct otri topleft, topright; - struct otri top; - struct otri botlcasing, botrcasing; - struct otri toplcasing, toprcasing; - struct osub botlsubseg, botrsubseg; - struct osub toplsubseg, toprsubseg; - vertex leftvertex, rightvertex, botvertex; - vertex farvertex; - triangle ptr; /* Temporary variable used by sym(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - /* Identify the vertices of the quadrilateral. */ - org(*flipedge, rightvertex); - dest(*flipedge, leftvertex); - apex(*flipedge, botvertex); - sym(*flipedge, top); -#ifdef SELF_CHECK - if (top.tri == m->dummytri) { - fprintf(stderr, "Internal error in flip(): Attempt to flip on boundary.\n"); - lnextself(*flipedge); - return; - } - if (m->checksegments) { - tspivot(*flipedge, toplsubseg); - if (toplsubseg.ss != m->dummysub) { - fprintf(stderr, "Internal error in flip(): Attempt to flip a segment.\n"); - lnextself(*flipedge); - return; - } - } -#endif /* SELF_CHECK */ - apex(top, farvertex); - - /* Identify the casing of the quadrilateral. */ - lprev(top, topleft); - sym(topleft, toplcasing); - lnext(top, topright); - sym(topright, toprcasing); - lnext(*flipedge, botleft); - sym(botleft, botlcasing); - lprev(*flipedge, botright); - sym(botright, botrcasing); - /* Rotate the quadrilateral one-quarter turn counterclockwise. */ - bond(topleft, botlcasing); - bond(botleft, botrcasing); - bond(botright, toprcasing); - bond(topright, toplcasing); - - if (m->checksegments) { - /* Check for subsegments and rebond them to the quadrilateral. */ - tspivot(topleft, toplsubseg); - tspivot(botleft, botlsubseg); - tspivot(botright, botrsubseg); - tspivot(topright, toprsubseg); - if (toplsubseg.ss == m->dummysub) { - tsdissolve(topright); - } else { - tsbond(topright, toplsubseg); - } - if (botlsubseg.ss == m->dummysub) { - tsdissolve(topleft); - } else { - tsbond(topleft, botlsubseg); - } - if (botrsubseg.ss == m->dummysub) { - tsdissolve(botleft); - } else { - tsbond(botleft, botrsubseg); - } - if (toprsubseg.ss == m->dummysub) { - tsdissolve(botright); - } else { - tsbond(botright, toprsubseg); - } - } - - /* New vertex assignments for the rotated quadrilateral. */ - setorg(*flipedge, farvertex); - setdest(*flipedge, botvertex); - setapex(*flipedge, rightvertex); - setorg(top, botvertex); - setdest(top, farvertex); - setapex(top, leftvertex); - if (b->verbose > 2) { - fprintf(stderr, " Edge flip results in left "); - printtriangle(m, b, &top); - fprintf(stderr, " and right "); - printtriangle(m, b, flipedge); - } -} - -/*****************************************************************************/ -/* */ -/* unflip() Transform two triangles to two different triangles by */ -/* flipping an edge clockwise within a quadrilateral. Reverses */ -/* the flip() operation so that the data structures representing */ -/* the triangles are back where they were before the flip(). */ -/* */ -/* Imagine the original triangles, abc and bad, oriented so that the */ -/* shared edge ab lies in a horizontal plane, with the vertex b on the left */ -/* and the vertex a on the right. The vertex c lies below the edge, and */ -/* the vertex d lies above the edge. The `flipedge' handle holds the edge */ -/* ab of triangle abc, and is directed left, from vertex a to vertex b. */ -/* */ -/* The triangles abc and bad are deleted and replaced by the triangles cdb */ -/* and dca. The triangles that represent abc and bad are NOT deallocated; */ -/* they are reused for cdb and dca, respectively. Hence, any handles that */ -/* may have held the original triangles are still valid, although not */ -/* directed as they were before. */ -/* */ -/* Upon completion of this routine, the `flipedge' handle holds the edge */ -/* cd of triangle cdb, and is directed up, from vertex c to vertex d. */ -/* (Hence, the two triangles have rotated clockwise.) */ -/* */ -/* WARNING: This transformation is geometrically valid only if the */ -/* quadrilateral adbc is convex. Furthermore, this transformation is */ -/* valid only if there is not a subsegment between the triangles abc and */ -/* bad. This routine does not check either of these preconditions, and */ -/* it is the responsibility of the calling routine to ensure that they are */ -/* met. If they are not, the streets shall be filled with wailing and */ -/* gnashing of teeth. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void unflip(struct mesh *m, struct behavior *b, struct otri *flipedge) -#else /* not ANSI_DECLARATORS */ -void unflip(m, b, flipedge) -struct mesh *m; -struct behavior *b; -struct otri *flipedge; /* Handle for the triangle abc. */ -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri botleft, botright; - struct otri topleft, topright; - struct otri top; - struct otri botlcasing, botrcasing; - struct otri toplcasing, toprcasing; - struct osub botlsubseg, botrsubseg; - struct osub toplsubseg, toprsubseg; - vertex leftvertex, rightvertex, botvertex; - vertex farvertex; - triangle ptr; /* Temporary variable used by sym(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - /* Identify the vertices of the quadrilateral. */ - org(*flipedge, rightvertex); - dest(*flipedge, leftvertex); - apex(*flipedge, botvertex); - sym(*flipedge, top); -#ifdef SELF_CHECK - if (top.tri == m->dummytri) { - fprintf(stderr, "Internal error in unflip(): Attempt to flip on boundary.\n"); - lnextself(*flipedge); - return; - } - if (m->checksegments) { - tspivot(*flipedge, toplsubseg); - if (toplsubseg.ss != m->dummysub) { - fprintf(stderr, "Internal error in unflip(): Attempt to flip a subsegment.\n"); - lnextself(*flipedge); - return; - } - } -#endif /* SELF_CHECK */ - apex(top, farvertex); - - /* Identify the casing of the quadrilateral. */ - lprev(top, topleft); - sym(topleft, toplcasing); - lnext(top, topright); - sym(topright, toprcasing); - lnext(*flipedge, botleft); - sym(botleft, botlcasing); - lprev(*flipedge, botright); - sym(botright, botrcasing); - /* Rotate the quadrilateral one-quarter turn clockwise. */ - bond(topleft, toprcasing); - bond(botleft, toplcasing); - bond(botright, botlcasing); - bond(topright, botrcasing); - - if (m->checksegments) { - /* Check for subsegments and rebond them to the quadrilateral. */ - tspivot(topleft, toplsubseg); - tspivot(botleft, botlsubseg); - tspivot(botright, botrsubseg); - tspivot(topright, toprsubseg); - if (toplsubseg.ss == m->dummysub) { - tsdissolve(botleft); - } else { - tsbond(botleft, toplsubseg); - } - if (botlsubseg.ss == m->dummysub) { - tsdissolve(botright); - } else { - tsbond(botright, botlsubseg); - } - if (botrsubseg.ss == m->dummysub) { - tsdissolve(topright); - } else { - tsbond(topright, botrsubseg); - } - if (toprsubseg.ss == m->dummysub) { - tsdissolve(topleft); - } else { - tsbond(topleft, toprsubseg); - } - } - - /* New vertex assignments for the rotated quadrilateral. */ - setorg(*flipedge, botvertex); - setdest(*flipedge, farvertex); - setapex(*flipedge, leftvertex); - setorg(top, farvertex); - setdest(top, botvertex); - setapex(top, rightvertex); - if (b->verbose > 2) { - fprintf(stderr, " Edge unflip results in left "); - printtriangle(m, b, flipedge); - fprintf(stderr, " and right "); - printtriangle(m, b, &top); - } -} - -/*****************************************************************************/ -/* */ -/* insertvertex() Insert a vertex into a Delaunay triangulation, */ -/* performing flips as necessary to maintain the Delaunay */ -/* property. */ -/* */ -/* The point `insertvertex' is located. If `searchtri.tri' is not NULL, */ -/* the search for the containing triangle begins from `searchtri'. If */ -/* `searchtri.tri' is NULL, a full point location procedure is called. */ -/* If `insertvertex' is found inside a triangle, the triangle is split into */ -/* three; if `insertvertex' lies on an edge, the edge is split in two, */ -/* thereby splitting the two adjacent triangles into four. Edge flips are */ -/* used to restore the Delaunay property. If `insertvertex' lies on an */ -/* existing vertex, no action is taken, and the value DUPLICATEVERTEX is */ -/* returned. On return, `searchtri' is set to a handle whose origin is the */ -/* existing vertex. */ -/* */ -/* Normally, the parameter `splitseg' is set to NULL, implying that no */ -/* subsegment should be split. In this case, if `insertvertex' is found to */ -/* lie on a segment, no action is taken, and the value VIOLATINGVERTEX is */ -/* returned. On return, `searchtri' is set to a handle whose primary edge */ -/* is the violated subsegment. */ -/* */ -/* If the calling routine wishes to split a subsegment by inserting a */ -/* vertex in it, the parameter `splitseg' should be that subsegment. In */ -/* this case, `searchtri' MUST be the triangle handle reached by pivoting */ -/* from that subsegment; no point location is done. */ -/* */ -/* `segmentflaws' and `triflaws' are flags that indicate whether or not */ -/* there should be checks for the creation of encroached subsegments or bad */ -/* quality triangles. If a newly inserted vertex encroaches upon */ -/* subsegments, these subsegments are added to the list of subsegments to */ -/* be split if `segmentflaws' is set. If bad triangles are created, these */ -/* are added to the queue if `triflaws' is set. */ -/* */ -/* If a duplicate vertex or violated segment does not prevent the vertex */ -/* from being inserted, the return value will be ENCROACHINGVERTEX if the */ -/* vertex encroaches upon a subsegment (and checking is enabled), or */ -/* SUCCESSFULVERTEX otherwise. In either case, `searchtri' is set to a */ -/* handle whose origin is the newly inserted vertex. */ -/* */ -/* insertvertex() does not use flip() for reasons of speed; some */ -/* information can be reused from edge flip to edge flip, like the */ -/* locations of subsegments. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -enum insertvertexresult insertvertex(struct mesh *m, struct behavior *b, - vertex newvertex, struct otri *searchtri, - struct osub *splitseg, - int segmentflaws, int triflaws, - REAL iradius) -#else /* not ANSI_DECLARATORS */ -enum insertvertexresult insertvertex(m, b, newvertex, searchtri, splitseg, - segmentflaws, triflaws, iradius) -struct mesh *m; -struct behavior *b; -vertex newvertex; -struct otri *searchtri; -struct osub *splitseg; -int segmentflaws; -int triflaws; -REAL iradius; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri horiz; - struct otri top; - struct otri botleft, botright; - struct otri topleft, topright; - struct otri newbotleft, newbotright; - struct otri newtopright; - struct otri botlcasing, botrcasing; - struct otri toplcasing, toprcasing; - struct otri testtri; - struct osub botlsubseg, botrsubseg; - struct osub toplsubseg, toprsubseg; - struct osub brokensubseg; - struct osub checksubseg; - struct osub rightsubseg; - struct osub newsubseg; - struct badsubseg *encroached; - struct flipstacker *newflip; - vertex first; - vertex leftvertex, rightvertex, botvertex, topvertex, farvertex; - REAL attrib; - REAL area; - enum insertvertexresult success; - enum locateresult intersect; - int doflip; - int mirrorflag; - int enq; - int i; - triangle ptr; /* Temporary variable used by sym(). */ - subseg sptr; /* Temporary variable used by spivot() and tspivot(). */ - - if (b->verbose > 1) { - fprintf(stderr, " Inserting (%.12g, %.12g).\n", newvertex[0], newvertex[1]); - } - - if (splitseg == (struct osub *) NULL) { - /* Find the location of the vertex to be inserted. Check if a good */ - /* starting triangle has already been provided by the caller. */ - if (searchtri->tri == m->dummytri) { - /* Find a boundary triangle. */ - horiz.tri = m->dummytri; - horiz.orient = 0; - symself(horiz); - /* Search for a triangle containing `newvertex'. */ - intersect = locate(m, b, newvertex, &horiz); - } else { - /* Start searching from the triangle provided by the caller. */ - otricopy(*searchtri, horiz); - intersect = preciselocate(m, b, newvertex, &horiz, 1); - } - } else { - /* The calling routine provides the subsegment in which */ - /* the vertex is inserted. */ - otricopy(*searchtri, horiz); - intersect = ONEDGE; - } - if (intersect == ONVERTEX) { - /* There's already a vertex there. Return in `searchtri' a triangle */ - /* whose origin is the existing vertex. */ - otricopy(horiz, *searchtri); - otricopy(horiz, m->recenttri); - return DUPLICATEVERTEX; - } - if ((intersect == ONEDGE) || (intersect == OUTSIDE)) { - /* The vertex falls on an edge or boundary. */ - if (m->checksegments && (splitseg == (struct osub *) NULL)) { - /* Check whether the vertex falls on a subsegment. */ - tspivot(horiz, brokensubseg); - if (brokensubseg.ss != m->dummysub) { - /* The vertex falls on a subsegment, and hence will not be inserted. */ - if (segmentflaws) { - if (b->nobisect == 2) { - enq = 0; -#ifndef CDT_ONLY - } else if (iradius > 0.0) { - enq = splitpermitted(m, &brokensubseg, iradius); -#endif /* not CDT_ONLY */ - } else { - enq = 1; - } - if (enq && (b->nobisect == 1)) { - /* This subsegment may be split only if it is an */ - /* internal boundary. */ - sym(horiz, testtri); - enq = testtri.tri != m->dummytri; - } - if (enq) { - /* Add the subsegment to the list of encroached subsegments. */ - encroached = (struct badsubseg *) poolalloc(&m->badsubsegs); - encroached->encsubseg = sencode(brokensubseg); - sorg(brokensubseg, encroached->subsegorg); - sdest(brokensubseg, encroached->subsegdest); - if (b->verbose > 2) { - fprintf(stderr, - " Queueing encroached subsegment (%.12g, %.12g) (%.12g, %.12g).\n", - encroached->subsegorg[0], encroached->subsegorg[1], - encroached->subsegdest[0], encroached->subsegdest[1]); - } - } - } - /* Return a handle whose primary edge contains the vertex, */ - /* which has not been inserted. */ - otricopy(horiz, *searchtri); - otricopy(horiz, m->recenttri); - return VIOLATINGVERTEX; - } - } - - /* Insert the vertex on an edge, dividing one triangle into two (if */ - /* the edge lies on a boundary) or two triangles into four. */ - lprev(horiz, botright); - sym(botright, botrcasing); - sym(horiz, topright); - /* Is there a second triangle? (Or does this edge lie on a boundary?) */ - mirrorflag = topright.tri != m->dummytri; - if (mirrorflag) { - lnextself(topright); - sym(topright, toprcasing); - maketriangle(m, b, &newtopright); - } else { - /* Splitting a boundary edge increases the number of boundary edges. */ - m->hullsize++; - } - maketriangle(m, b, &newbotright); - - /* Set the vertices of changed and new triangles. */ - org(horiz, rightvertex); - dest(horiz, leftvertex); - apex(horiz, botvertex); - setorg(newbotright, botvertex); - setdest(newbotright, rightvertex); - setapex(newbotright, newvertex); - setorg(horiz, newvertex); - for (i = 0; i < m->eextras; i++) { - /* Set the element attributes of a new triangle. */ - setelemattribute(newbotright, i, elemattribute(botright, i)); - } - if (b->vararea) { - /* Set the area constraint of a new triangle. */ - setareabound(newbotright, areabound(botright)); - } - if (mirrorflag) { - dest(topright, topvertex); - setorg(newtopright, rightvertex); - setdest(newtopright, topvertex); - setapex(newtopright, newvertex); - setorg(topright, newvertex); - for (i = 0; i < m->eextras; i++) { - /* Set the element attributes of another new triangle. */ - setelemattribute(newtopright, i, elemattribute(topright, i)); - } - if (b->vararea) { - /* Set the area constraint of another new triangle. */ - setareabound(newtopright, areabound(topright)); - } - } - - /* There may be subsegments that need to be bonded */ - /* to the new triangle(s). */ - if (m->checksegments) { - tspivot(botright, botrsubseg); - if (botrsubseg.ss != m->dummysub) { - tsdissolve(botright); - tsbond(newbotright, botrsubseg); - } - if (mirrorflag) { - tspivot(topright, toprsubseg); - if (toprsubseg.ss != m->dummysub) { - tsdissolve(topright); - tsbond(newtopright, toprsubseg); - } - } - } - - /* Bond the new triangle(s) to the surrounding triangles. */ - bond(newbotright, botrcasing); - lprevself(newbotright); - bond(newbotright, botright); - lprevself(newbotright); - if (mirrorflag) { - bond(newtopright, toprcasing); - lnextself(newtopright); - bond(newtopright, topright); - lnextself(newtopright); - bond(newtopright, newbotright); - } - - if (splitseg != (struct osub *) NULL) { - /* Split the subsegment into two. */ - setsdest(*splitseg, newvertex); - ssymself(*splitseg); - spivot(*splitseg, rightsubseg); - insertsubseg(m, b, &newbotright, mark(*splitseg)); - tspivot(newbotright, newsubseg); - sbond(*splitseg, newsubseg); - ssymself(newsubseg); - sbond(newsubseg, rightsubseg); - ssymself(*splitseg); - /* Transfer the subsegment's boundary marker to the vertex */ - /* if required. */ - if (vertexmark(newvertex) == 0) { - setvertexmark(newvertex, mark(*splitseg)); - } - } - - if (m->checkquality) { - poolrestart(&m->flipstackers); - m->lastflip = (struct flipstacker *) poolalloc(&m->flipstackers); - m->lastflip->flippedtri = encode(horiz); - m->lastflip->prevflip = (struct flipstacker *) &insertvertex; - } - -#ifdef SELF_CHECK - if (counterclockwise(m, b, rightvertex, leftvertex, botvertex) < 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, - " Clockwise triangle prior to edge vertex insertion (bottom).\n"); - } - if (mirrorflag) { - if (counterclockwise(m, b, leftvertex, rightvertex, topvertex) < 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, " Clockwise triangle prior to edge vertex insertion (top).\n"); - } - if (counterclockwise(m, b, rightvertex, topvertex, newvertex) < 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, - " Clockwise triangle after edge vertex insertion (top right).\n"); - } - if (counterclockwise(m, b, topvertex, leftvertex, newvertex) < 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, - " Clockwise triangle after edge vertex insertion (top left).\n"); - } - } - if (counterclockwise(m, b, leftvertex, botvertex, newvertex) < 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, - " Clockwise triangle after edge vertex insertion (bottom left).\n"); - } - if (counterclockwise(m, b, botvertex, rightvertex, newvertex) < 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, - " Clockwise triangle after edge vertex insertion (bottom right).\n"); - } -#endif /* SELF_CHECK */ - if (b->verbose > 2) { - fprintf(stderr, " Updating bottom left "); - printtriangle(m, b, &botright); - if (mirrorflag) { - fprintf(stderr, " Updating top left "); - printtriangle(m, b, &topright); - fprintf(stderr, " Creating top right "); - printtriangle(m, b, &newtopright); - } - fprintf(stderr, " Creating bottom right "); - printtriangle(m, b, &newbotright); - } - - /* Position `horiz' on the first edge to check for */ - /* the Delaunay property. */ - lnextself(horiz); - } else { - /* Insert the vertex in a triangle, splitting it into three. */ - lnext(horiz, botleft); - lprev(horiz, botright); - sym(botleft, botlcasing); - sym(botright, botrcasing); - maketriangle(m, b, &newbotleft); - maketriangle(m, b, &newbotright); - - /* Set the vertices of changed and new triangles. */ - org(horiz, rightvertex); - dest(horiz, leftvertex); - apex(horiz, botvertex); - setorg(newbotleft, leftvertex); - setdest(newbotleft, botvertex); - setapex(newbotleft, newvertex); - setorg(newbotright, botvertex); - setdest(newbotright, rightvertex); - setapex(newbotright, newvertex); - setapex(horiz, newvertex); - for (i = 0; i < m->eextras; i++) { - /* Set the element attributes of the new triangles. */ - attrib = elemattribute(horiz, i); - setelemattribute(newbotleft, i, attrib); - setelemattribute(newbotright, i, attrib); - } - if (b->vararea) { - /* Set the area constraint of the new triangles. */ - area = areabound(horiz); - setareabound(newbotleft, area); - setareabound(newbotright, area); - } - - /* There may be subsegments that need to be bonded */ - /* to the new triangles. */ - if (m->checksegments) { - tspivot(botleft, botlsubseg); - if (botlsubseg.ss != m->dummysub) { - tsdissolve(botleft); - tsbond(newbotleft, botlsubseg); - } - tspivot(botright, botrsubseg); - if (botrsubseg.ss != m->dummysub) { - tsdissolve(botright); - tsbond(newbotright, botrsubseg); - } - } - - /* Bond the new triangles to the surrounding triangles. */ - bond(newbotleft, botlcasing); - bond(newbotright, botrcasing); - lnextself(newbotleft); - lprevself(newbotright); - bond(newbotleft, newbotright); - lnextself(newbotleft); - bond(botleft, newbotleft); - lprevself(newbotright); - bond(botright, newbotright); - - if (m->checkquality) { - poolrestart(&m->flipstackers); - m->lastflip = (struct flipstacker *) poolalloc(&m->flipstackers); - m->lastflip->flippedtri = encode(horiz); - m->lastflip->prevflip = (struct flipstacker *) NULL; - } - -#ifdef SELF_CHECK - if (counterclockwise(m, b, rightvertex, leftvertex, botvertex) < 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, " Clockwise triangle prior to vertex insertion.\n"); - } - if (counterclockwise(m, b, rightvertex, leftvertex, newvertex) < 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, " Clockwise triangle after vertex insertion (top).\n"); - } - if (counterclockwise(m, b, leftvertex, botvertex, newvertex) < 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, " Clockwise triangle after vertex insertion (left).\n"); - } - if (counterclockwise(m, b, botvertex, rightvertex, newvertex) < 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, " Clockwise triangle after vertex insertion (right).\n"); - } -#endif /* SELF_CHECK */ - if (b->verbose > 2) { - fprintf(stderr, " Updating top "); - printtriangle(m, b, &horiz); - fprintf(stderr, " Creating left "); - printtriangle(m, b, &newbotleft); - fprintf(stderr, " Creating right "); - printtriangle(m, b, &newbotright); - } - } - - /* The insertion is successful by default, unless an encroached */ - /* subsegment is found. */ - success = SUCCESSFULVERTEX; - /* Circle around the newly inserted vertex, checking each edge opposite */ - /* it for the Delaunay property. Non-Delaunay edges are flipped. */ - /* `horiz' is always the edge being checked. `first' marks where to */ - /* stop circling. */ - org(horiz, first); - rightvertex = first; - dest(horiz, leftvertex); - /* Circle until finished. */ - while (1) { - /* By default, the edge will be flipped. */ - doflip = 1; - - if (m->checksegments) { - /* Check for a subsegment, which cannot be flipped. */ - tspivot(horiz, checksubseg); - if (checksubseg.ss != m->dummysub) { - /* The edge is a subsegment and cannot be flipped. */ - doflip = 0; -#ifndef CDT_ONLY - if (segmentflaws) { - /* Does the new vertex encroach upon this subsegment? */ - if (checkseg4encroach(m, b, &checksubseg, iradius)) { - success = ENCROACHINGVERTEX; - } - } -#endif /* not CDT_ONLY */ - } - } - - if (doflip) { - /* Check if the edge is a boundary edge. */ - sym(horiz, top); - if (top.tri == m->dummytri) { - /* The edge is a boundary edge and cannot be flipped. */ - doflip = 0; - } else { - /* Find the vertex on the other side of the edge. */ - apex(top, farvertex); - /* In the incremental Delaunay triangulation algorithm, any of */ - /* `leftvertex', `rightvertex', and `farvertex' could be vertices */ - /* of the triangular bounding box. These vertices must be */ - /* treated as if they are infinitely distant, even though their */ - /* "coordinates" are not. */ - if ((leftvertex == m->infvertex1) || (leftvertex == m->infvertex2) || - (leftvertex == m->infvertex3)) { - /* `leftvertex' is infinitely distant. Check the convexity of */ - /* the boundary of the triangulation. 'farvertex' might be */ - /* infinite as well, but trust me, this same condition should */ - /* be applied. */ - doflip = counterclockwise(m, b, newvertex, rightvertex, farvertex) - > 0.0; - } else if ((rightvertex == m->infvertex1) || - (rightvertex == m->infvertex2) || - (rightvertex == m->infvertex3)) { - /* `rightvertex' is infinitely distant. Check the convexity of */ - /* the boundary of the triangulation. 'farvertex' might be */ - /* infinite as well, but trust me, this same condition should */ - /* be applied. */ - doflip = counterclockwise(m, b, farvertex, leftvertex, newvertex) - > 0.0; - } else if ((farvertex == m->infvertex1) || - (farvertex == m->infvertex2) || - (farvertex == m->infvertex3)) { - /* `farvertex' is infinitely distant and cannot be inside */ - /* the circumcircle of the triangle `horiz'. */ - doflip = 0; - } else { - /* Test whether the edge is locally Delaunay. */ - doflip = incircle(m, b, leftvertex, newvertex, rightvertex, - farvertex) > 0.0; - } - if (doflip) { - /* We made it! Flip the edge `horiz' by rotating its containing */ - /* quadrilateral (the two triangles adjacent to `horiz'). */ - /* Identify the casing of the quadrilateral. */ - lprev(top, topleft); - sym(topleft, toplcasing); - lnext(top, topright); - sym(topright, toprcasing); - lnext(horiz, botleft); - sym(botleft, botlcasing); - lprev(horiz, botright); - sym(botright, botrcasing); - /* Rotate the quadrilateral one-quarter turn counterclockwise. */ - bond(topleft, botlcasing); - bond(botleft, botrcasing); - bond(botright, toprcasing); - bond(topright, toplcasing); - if (m->checksegments) { - /* Check for subsegments and rebond them to the quadrilateral. */ - tspivot(topleft, toplsubseg); - tspivot(botleft, botlsubseg); - tspivot(botright, botrsubseg); - tspivot(topright, toprsubseg); - if (toplsubseg.ss == m->dummysub) { - tsdissolve(topright); - } else { - tsbond(topright, toplsubseg); - } - if (botlsubseg.ss == m->dummysub) { - tsdissolve(topleft); - } else { - tsbond(topleft, botlsubseg); - } - if (botrsubseg.ss == m->dummysub) { - tsdissolve(botleft); - } else { - tsbond(botleft, botrsubseg); - } - if (toprsubseg.ss == m->dummysub) { - tsdissolve(botright); - } else { - tsbond(botright, toprsubseg); - } - } - /* New vertex assignments for the rotated quadrilateral. */ - setorg(horiz, farvertex); - setdest(horiz, newvertex); - setapex(horiz, rightvertex); - setorg(top, newvertex); - setdest(top, farvertex); - setapex(top, leftvertex); - for (i = 0; i < m->eextras; i++) { - /* Take the average of the two triangles' attributes. */ - attrib = 0.5 * (elemattribute(top, i) + elemattribute(horiz, i)); - setelemattribute(top, i, attrib); - setelemattribute(horiz, i, attrib); - } - if (b->vararea) { - if ((areabound(top) <= 0.0) || (areabound(horiz) <= 0.0)) { - area = -1.0; - } else { - /* Take the average of the two triangles' area constraints. */ - /* This prevents small area constraints from migrating a */ - /* long, long way from their original location due to flips. */ - area = 0.5 * (areabound(top) + areabound(horiz)); - } - setareabound(top, area); - setareabound(horiz, area); - } - - if (m->checkquality) { - newflip = (struct flipstacker *) poolalloc(&m->flipstackers); - newflip->flippedtri = encode(horiz); - newflip->prevflip = m->lastflip; - m->lastflip = newflip; - } - -#ifdef SELF_CHECK - if (newvertex != (vertex) NULL) { - if (counterclockwise(m, b, leftvertex, newvertex, rightvertex) < - 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, " Clockwise triangle prior to edge flip (bottom).\n"); - } - /* The following test has been removed because constrainededge() */ - /* sometimes generates inverted triangles that insertvertex() */ - /* removes. */ -/* - if (counterclockwise(m, b, rightvertex, farvertex, leftvertex) < - 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, " Clockwise triangle prior to edge flip (top).\n"); - } -*/ - if (counterclockwise(m, b, farvertex, leftvertex, newvertex) < - 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, " Clockwise triangle after edge flip (left).\n"); - } - if (counterclockwise(m, b, newvertex, rightvertex, farvertex) < - 0.0) { - fprintf(stderr, "Internal error in insertvertex():\n"); - fprintf(stderr, " Clockwise triangle after edge flip (right).\n"); - } - } -#endif /* SELF_CHECK */ - if (b->verbose > 2) { - fprintf(stderr, " Edge flip results in left "); - lnextself(topleft); - printtriangle(m, b, &topleft); - fprintf(stderr, " and right "); - printtriangle(m, b, &horiz); - } - /* On the next iterations, consider the two edges that were */ - /* exposed (this is, are now visible to the newly inserted */ - /* vertex) by the edge flip. */ - lprevself(horiz); - leftvertex = farvertex; - } - } - } - if (!doflip) { - /* The handle `horiz' is accepted as locally Delaunay. */ -#ifndef CDT_ONLY - if (triflaws) { - /* Check the triangle `horiz' for quality. */ - testtriangle(m, b, &horiz); - } -#endif /* not CDT_ONLY */ - /* Look for the next edge around the newly inserted vertex. */ - lnextself(horiz); - sym(horiz, testtri); - /* Check for finishing a complete revolution about the new vertex, or */ - /* falling outside of the triangulation. The latter will happen */ - /* when a vertex is inserted at a boundary. */ - if ((leftvertex == first) || (testtri.tri == m->dummytri)) { - /* We're done. Return a triangle whose origin is the new vertex. */ - lnext(horiz, *searchtri); - lnext(horiz, m->recenttri); - return success; - } - /* Finish finding the next edge around the newly inserted vertex. */ - lnext(testtri, horiz); - rightvertex = leftvertex; - dest(horiz, leftvertex); - } - } -} - -/*****************************************************************************/ -/* */ -/* triangulatepolygon() Find the Delaunay triangulation of a polygon that */ -/* has a certain "nice" shape. This includes the */ -/* polygons that result from deletion of a vertex or */ -/* insertion of a segment. */ -/* */ -/* This is a conceptually difficult routine. The starting assumption is */ -/* that we have a polygon with n sides. n - 1 of these sides are currently */ -/* represented as edges in the mesh. One side, called the "base", need not */ -/* be. */ -/* */ -/* Inside the polygon is a structure I call a "fan", consisting of n - 1 */ -/* triangles that share a common origin. For each of these triangles, the */ -/* edge opposite the origin is one of the sides of the polygon. The */ -/* primary edge of each triangle is the edge directed from the origin to */ -/* the destination; note that this is not the same edge that is a side of */ -/* the polygon. `firstedge' is the primary edge of the first triangle. */ -/* From there, the triangles follow in counterclockwise order about the */ -/* polygon, until `lastedge', the primary edge of the last triangle. */ -/* `firstedge' and `lastedge' are probably connected to other triangles */ -/* beyond the extremes of the fan, but their identity is not important, as */ -/* long as the fan remains connected to them. */ -/* */ -/* Imagine the polygon oriented so that its base is at the bottom. This */ -/* puts `firstedge' on the far right, and `lastedge' on the far left. */ -/* The right vertex of the base is the destination of `firstedge', and the */ -/* left vertex of the base is the apex of `lastedge'. */ -/* */ -/* The challenge now is to find the right sequence of edge flips to */ -/* transform the fan into a Delaunay triangulation of the polygon. Each */ -/* edge flip effectively removes one triangle from the fan, committing it */ -/* to the polygon. The resulting polygon has one fewer edge. If `doflip' */ -/* is set, the final flip will be performed, resulting in a fan of one */ -/* (useless?) triangle. If `doflip' is not set, the final flip is not */ -/* performed, resulting in a fan of two triangles, and an unfinished */ -/* triangular polygon that is not yet filled out with a single triangle. */ -/* On completion of the routine, `lastedge' is the last remaining triangle, */ -/* or the leftmost of the last two. */ -/* */ -/* Although the flips are performed in the order described above, the */ -/* decisions about what flips to perform are made in precisely the reverse */ -/* order. The recursive triangulatepolygon() procedure makes a decision, */ -/* uses up to two recursive calls to triangulate the "subproblems" */ -/* (polygons with fewer edges), and then performs an edge flip. */ -/* */ -/* The "decision" it makes is which vertex of the polygon should be */ -/* connected to the base. This decision is made by testing every possible */ -/* vertex. Once the best vertex is found, the two edges that connect this */ -/* vertex to the base become the bases for two smaller polygons. These */ -/* are triangulated recursively. Unfortunately, this approach can take */ -/* O(n^2) time not only in the worst case, but in many common cases. It's */ -/* rarely a big deal for vertex deletion, where n is rarely larger than */ -/* ten, but it could be a big deal for segment insertion, especially if */ -/* there's a lot of long segments that each cut many triangles. I ought to */ -/* code a faster algorithm some day. */ -/* */ -/* The `edgecount' parameter is the number of sides of the polygon, */ -/* including its base. `triflaws' is a flag that determines whether the */ -/* new triangles should be tested for quality, and enqueued if they are */ -/* bad. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void triangulatepolygon(struct mesh *m, struct behavior *b, - struct otri *firstedge, struct otri *lastedge, - int edgecount, int doflip, int triflaws) -#else /* not ANSI_DECLARATORS */ -void triangulatepolygon(m, b, firstedge, lastedge, edgecount, doflip, triflaws) -struct mesh *m; -struct behavior *b; -struct otri *firstedge; -struct otri *lastedge; -int edgecount; -int doflip; -int triflaws; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri testtri; - struct otri besttri; - struct otri tempedge; - vertex leftbasevertex, rightbasevertex; - vertex testvertex; - vertex bestvertex; - int bestnumber; - int i; - triangle ptr; /* Temporary variable used by sym(), onext(), and oprev(). */ - - /* Identify the base vertices. */ - apex(*lastedge, leftbasevertex); - dest(*firstedge, rightbasevertex); - if (b->verbose > 2) { - fprintf(stderr, " Triangulating interior polygon at edge\n"); - fprintf(stderr, " (%.12g, %.12g) (%.12g, %.12g)\n", leftbasevertex[0], - leftbasevertex[1], rightbasevertex[0], rightbasevertex[1]); - } - /* Find the best vertex to connect the base to. */ - onext(*firstedge, besttri); - dest(besttri, bestvertex); - otricopy(besttri, testtri); - bestnumber = 1; - for (i = 2; i <= edgecount - 2; i++) { - onextself(testtri); - dest(testtri, testvertex); - /* Is this a better vertex? */ - if (incircle(m, b, leftbasevertex, rightbasevertex, bestvertex, - testvertex) > 0.0) { - otricopy(testtri, besttri); - bestvertex = testvertex; - bestnumber = i; - } - } - if (b->verbose > 2) { - fprintf(stderr, " Connecting edge to (%.12g, %.12g)\n", bestvertex[0], - bestvertex[1]); - } - if (bestnumber > 1) { - /* Recursively triangulate the smaller polygon on the right. */ - oprev(besttri, tempedge); - triangulatepolygon(m, b, firstedge, &tempedge, bestnumber + 1, 1, - triflaws); - } - if (bestnumber < edgecount - 2) { - /* Recursively triangulate the smaller polygon on the left. */ - sym(besttri, tempedge); - triangulatepolygon(m, b, &besttri, lastedge, edgecount - bestnumber, 1, - triflaws); - /* Find `besttri' again; it may have been lost to edge flips. */ - sym(tempedge, besttri); - } - if (doflip) { - /* Do one final edge flip. */ - flip(m, b, &besttri); -#ifndef CDT_ONLY - if (triflaws) { - /* Check the quality of the newly committed triangle. */ - sym(besttri, testtri); - testtriangle(m, b, &testtri); - } -#endif /* not CDT_ONLY */ - } - /* Return the base triangle. */ - otricopy(besttri, *lastedge); -} - -/*****************************************************************************/ -/* */ -/* deletevertex() Delete a vertex from a Delaunay triangulation, ensuring */ -/* that the triangulation remains Delaunay. */ -/* */ -/* The origin of `deltri' is deleted. The union of the triangles adjacent */ -/* to this vertex is a polygon, for which the Delaunay triangulation is */ -/* found. Two triangles are removed from the mesh. */ -/* */ -/* Only interior vertices that do not lie on segments or boundaries may be */ -/* deleted. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -void deletevertex(struct mesh *m, struct behavior *b, struct otri *deltri) -#else /* not ANSI_DECLARATORS */ -void deletevertex(m, b, deltri) -struct mesh *m; -struct behavior *b; -struct otri *deltri; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri countingtri; - struct otri firstedge, lastedge; - struct otri deltriright; - struct otri lefttri, righttri; - struct otri leftcasing, rightcasing; - struct osub leftsubseg, rightsubseg; - vertex delvertex; - vertex neworg; - int edgecount; - triangle ptr; /* Temporary variable used by sym(), onext(), and oprev(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - org(*deltri, delvertex); - if (b->verbose > 1) { - fprintf(stderr, " Deleting (%.12g, %.12g).\n", delvertex[0], delvertex[1]); - } - vertexdealloc(m, delvertex); - - /* Count the degree of the vertex being deleted. */ - onext(*deltri, countingtri); - edgecount = 1; - while (!otriequal(*deltri, countingtri)) { -#ifdef SELF_CHECK - if (countingtri.tri == m->dummytri) { - fprintf(stderr, "Internal error in deletevertex():\n"); - fprintf(stderr, " Attempt to delete boundary vertex.\n"); - internalerror(); - } -#endif /* SELF_CHECK */ - edgecount++; - onextself(countingtri); - } - -#ifdef SELF_CHECK - if (edgecount < 3) { - fprintf(stderr, "Internal error in deletevertex():\n Vertex has degree %d.\n", - edgecount); - internalerror(); - } -#endif /* SELF_CHECK */ - if (edgecount > 3) { - /* Triangulate the polygon defined by the union of all triangles */ - /* adjacent to the vertex being deleted. Check the quality of */ - /* the resulting triangles. */ - onext(*deltri, firstedge); - oprev(*deltri, lastedge); - triangulatepolygon(m, b, &firstedge, &lastedge, edgecount, 0, - !b->nobisect); - } - /* Splice out two triangles. */ - lprev(*deltri, deltriright); - dnext(*deltri, lefttri); - sym(lefttri, leftcasing); - oprev(deltriright, righttri); - sym(righttri, rightcasing); - bond(*deltri, leftcasing); - bond(deltriright, rightcasing); - tspivot(lefttri, leftsubseg); - if (leftsubseg.ss != m->dummysub) { - tsbond(*deltri, leftsubseg); - } - tspivot(righttri, rightsubseg); - if (rightsubseg.ss != m->dummysub) { - tsbond(deltriright, rightsubseg); - } - - /* Set the new origin of `deltri' and check its quality. */ - org(lefttri, neworg); - setorg(*deltri, neworg); - if (!b->nobisect) { - testtriangle(m, b, deltri); - } - - /* Delete the two spliced-out triangles. */ - triangledealloc(m, lefttri.tri); - triangledealloc(m, righttri.tri); -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* undovertex() Undo the most recent vertex insertion. */ -/* */ -/* Walks through the list of transformations (flips and a vertex insertion) */ -/* in the reverse of the order in which they were done, and undoes them. */ -/* The inserted vertex is removed from the triangulation and deallocated. */ -/* Two triangles (possibly just one) are also deallocated. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -void undovertex(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void undovertex(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri fliptri; - struct otri botleft, botright, topright; - struct otri botlcasing, botrcasing, toprcasing; - struct otri gluetri; - struct osub botlsubseg, botrsubseg, toprsubseg; - vertex botvertex, rightvertex; - triangle ptr; /* Temporary variable used by sym(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - /* Walk through the list of transformations (flips and a vertex insertion) */ - /* in the reverse of the order in which they were done, and undo them. */ - while (m->lastflip != (struct flipstacker *) NULL) { - /* Find a triangle involved in the last unreversed transformation. */ - decode(m->lastflip->flippedtri, fliptri); - - /* We are reversing one of three transformations: a trisection of one */ - /* triangle into three (by inserting a vertex in the triangle), a */ - /* bisection of two triangles into four (by inserting a vertex in an */ - /* edge), or an edge flip. */ - if (m->lastflip->prevflip == (struct flipstacker *) NULL) { - /* Restore a triangle that was split into three triangles, */ - /* so it is again one triangle. */ - dprev(fliptri, botleft); - lnextself(botleft); - onext(fliptri, botright); - lprevself(botright); - sym(botleft, botlcasing); - sym(botright, botrcasing); - dest(botleft, botvertex); - - setapex(fliptri, botvertex); - lnextself(fliptri); - bond(fliptri, botlcasing); - tspivot(botleft, botlsubseg); - tsbond(fliptri, botlsubseg); - lnextself(fliptri); - bond(fliptri, botrcasing); - tspivot(botright, botrsubseg); - tsbond(fliptri, botrsubseg); - - /* Delete the two spliced-out triangles. */ - triangledealloc(m, botleft.tri); - triangledealloc(m, botright.tri); - } else if (m->lastflip->prevflip == (struct flipstacker *) &insertvertex) { - /* Restore two triangles that were split into four triangles, */ - /* so they are again two triangles. */ - lprev(fliptri, gluetri); - sym(gluetri, botright); - lnextself(botright); - sym(botright, botrcasing); - dest(botright, rightvertex); - - setorg(fliptri, rightvertex); - bond(gluetri, botrcasing); - tspivot(botright, botrsubseg); - tsbond(gluetri, botrsubseg); - - /* Delete the spliced-out triangle. */ - triangledealloc(m, botright.tri); - - sym(fliptri, gluetri); - if (gluetri.tri != m->dummytri) { - lnextself(gluetri); - dnext(gluetri, topright); - sym(topright, toprcasing); - - setorg(gluetri, rightvertex); - bond(gluetri, toprcasing); - tspivot(topright, toprsubseg); - tsbond(gluetri, toprsubseg); - - /* Delete the spliced-out triangle. */ - triangledealloc(m, topright.tri); - } - - /* This is the end of the list, sneakily encoded. */ - m->lastflip->prevflip = (struct flipstacker *) NULL; - } else { - /* Undo an edge flip. */ - unflip(m, b, &fliptri); - } - - /* Go on and process the next transformation. */ - m->lastflip = m->lastflip->prevflip; - } -} - -#endif /* not CDT_ONLY */ - -/** **/ -/** **/ -/********* Mesh transformation routines end here *********/ - -/********* Divide-and-conquer Delaunay triangulation begins here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* The divide-and-conquer bounding box */ -/* */ -/* I originally implemented the divide-and-conquer and incremental Delaunay */ -/* triangulations using the edge-based data structure presented by Guibas */ -/* and Stolfi. Switching to a triangle-based data structure doubled the */ -/* speed. However, I had to think of a few extra tricks to maintain the */ -/* elegance of the original algorithms. */ -/* */ -/* The "bounding box" used by my variant of the divide-and-conquer */ -/* algorithm uses one triangle for each edge of the convex hull of the */ -/* triangulation. These bounding triangles all share a common apical */ -/* vertex, which is represented by NULL and which represents nothing. */ -/* The bounding triangles are linked in a circular fan about this NULL */ -/* vertex, and the edges on the convex hull of the triangulation appear */ -/* opposite the NULL vertex. You might find it easiest to imagine that */ -/* the NULL vertex is a point in 3D space behind the center of the */ -/* triangulation, and that the bounding triangles form a sort of cone. */ -/* */ -/* This bounding box makes it easy to represent degenerate cases. For */ -/* instance, the triangulation of two vertices is a single edge. This edge */ -/* is represented by two bounding box triangles, one on each "side" of the */ -/* edge. These triangles are also linked together in a fan about the NULL */ -/* vertex. */ -/* */ -/* The bounding box also makes it easy to traverse the convex hull, as the */ -/* divide-and-conquer algorithm needs to do. */ -/* */ -/*****************************************************************************/ - -/*****************************************************************************/ -/* */ -/* vertexsort() Sort an array of vertices by x-coordinate, using the */ -/* y-coordinate as a secondary key. */ -/* */ -/* Uses quicksort. Randomized O(n log n) time. No, I did not make any of */ -/* the usual quicksort mistakes. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void vertexsort(vertex *sortarray, int arraysize) -#else /* not ANSI_DECLARATORS */ -void vertexsort(sortarray, arraysize) -vertex *sortarray; -int arraysize; -#endif /* not ANSI_DECLARATORS */ - -{ - int left, right; - int pivot; - REAL pivotx, pivoty; - vertex temp; - - if (arraysize == 2) { - /* Recursive base case. */ - if ((sortarray[0][0] > sortarray[1][0]) || - ((sortarray[0][0] == sortarray[1][0]) && - (sortarray[0][1] > sortarray[1][1]))) { - temp = sortarray[1]; - sortarray[1] = sortarray[0]; - sortarray[0] = temp; - } - return; - } - /* Choose a random pivot to split the array. */ - pivot = (int) randomnation(arraysize); - pivotx = sortarray[pivot][0]; - pivoty = sortarray[pivot][1]; - /* Split the array. */ - left = -1; - right = arraysize; - while (left < right) { - /* Search for a vertex whose x-coordinate is too large for the left. */ - do { - left++; - } while ((left <= right) && ((sortarray[left][0] < pivotx) || - ((sortarray[left][0] == pivotx) && - (sortarray[left][1] < pivoty)))); - /* Search for a vertex whose x-coordinate is too small for the right. */ - do { - right--; - } while ((left <= right) && ((sortarray[right][0] > pivotx) || - ((sortarray[right][0] == pivotx) && - (sortarray[right][1] > pivoty)))); - if (left < right) { - /* Swap the left and right vertices. */ - temp = sortarray[left]; - sortarray[left] = sortarray[right]; - sortarray[right] = temp; - } - } - if (left > 1) { - /* Recursively sort the left subset. */ - vertexsort(sortarray, left); - } - if (right < arraysize - 2) { - /* Recursively sort the right subset. */ - vertexsort(&sortarray[right + 1], arraysize - right - 1); - } -} - -/*****************************************************************************/ -/* */ -/* vertexmedian() An order statistic algorithm, almost. Shuffles an */ -/* array of vertices so that the first `median' vertices */ -/* occur lexicographically before the remaining vertices. */ -/* */ -/* Uses the x-coordinate as the primary key if axis == 0; the y-coordinate */ -/* if axis == 1. Very similar to the vertexsort() procedure, but runs in */ -/* randomized linear time. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void vertexmedian(vertex *sortarray, int arraysize, int median, int axis) -#else /* not ANSI_DECLARATORS */ -void vertexmedian(sortarray, arraysize, median, axis) -vertex *sortarray; -int arraysize; -int median; -int axis; -#endif /* not ANSI_DECLARATORS */ - -{ - int left, right; - int pivot; - REAL pivot1, pivot2; - vertex temp; - - if (arraysize == 2) { - /* Recursive base case. */ - if ((sortarray[0][axis] > sortarray[1][axis]) || - ((sortarray[0][axis] == sortarray[1][axis]) && - (sortarray[0][1 - axis] > sortarray[1][1 - axis]))) { - temp = sortarray[1]; - sortarray[1] = sortarray[0]; - sortarray[0] = temp; - } - return; - } - /* Choose a random pivot to split the array. */ - pivot = (int) randomnation(arraysize); - pivot1 = sortarray[pivot][axis]; - pivot2 = sortarray[pivot][1 - axis]; - /* Split the array. */ - left = -1; - right = arraysize; - while (left < right) { - /* Search for a vertex whose x-coordinate is too large for the left. */ - do { - left++; - } while ((left <= right) && ((sortarray[left][axis] < pivot1) || - ((sortarray[left][axis] == pivot1) && - (sortarray[left][1 - axis] < pivot2)))); - /* Search for a vertex whose x-coordinate is too small for the right. */ - do { - right--; - } while ((left <= right) && ((sortarray[right][axis] > pivot1) || - ((sortarray[right][axis] == pivot1) && - (sortarray[right][1 - axis] > pivot2)))); - if (left < right) { - /* Swap the left and right vertices. */ - temp = sortarray[left]; - sortarray[left] = sortarray[right]; - sortarray[right] = temp; - } - } - /* Unlike in vertexsort(), at most one of the following */ - /* conditionals is true. */ - if (left > median) { - /* Recursively shuffle the left subset. */ - vertexmedian(sortarray, left, median, axis); - } - if (right < median - 1) { - /* Recursively shuffle the right subset. */ - vertexmedian(&sortarray[right + 1], arraysize - right - 1, - median - right - 1, axis); - } -} - -/*****************************************************************************/ -/* */ -/* alternateaxes() Sorts the vertices as appropriate for the divide-and- */ -/* conquer algorithm with alternating cuts. */ -/* */ -/* Partitions by x-coordinate if axis == 0; by y-coordinate if axis == 1. */ -/* For the base case, subsets containing only two or three vertices are */ -/* always sorted by x-coordinate. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void alternateaxes(vertex *sortarray, int arraysize, int axis) -#else /* not ANSI_DECLARATORS */ -void alternateaxes(sortarray, arraysize, axis) -vertex *sortarray; -int arraysize; -int axis; -#endif /* not ANSI_DECLARATORS */ - -{ - int divider; - - divider = arraysize >> 1; - if (arraysize <= 3) { - /* Recursive base case: subsets of two or three vertices will be */ - /* handled specially, and should always be sorted by x-coordinate. */ - axis = 0; - } - /* Partition with a horizontal or vertical cut. */ - vertexmedian(sortarray, arraysize, divider, axis); - /* Recursively partition the subsets with a cross cut. */ - if (arraysize - divider >= 2) { - if (divider >= 2) { - alternateaxes(sortarray, divider, 1 - axis); - } - alternateaxes(&sortarray[divider], arraysize - divider, 1 - axis); - } -} - -/*****************************************************************************/ -/* */ -/* mergehulls() Merge two adjacent Delaunay triangulations into a */ -/* single Delaunay triangulation. */ -/* */ -/* This is similar to the algorithm given by Guibas and Stolfi, but uses */ -/* a triangle-based, rather than edge-based, data structure. */ -/* */ -/* The algorithm walks up the gap between the two triangulations, knitting */ -/* them together. As they are merged, some of their bounding triangles */ -/* are converted into real triangles of the triangulation. The procedure */ -/* pulls each hull's bounding triangles apart, then knits them together */ -/* like the teeth of two gears. The Delaunay property determines, at each */ -/* step, whether the next "tooth" is a bounding triangle of the left hull */ -/* or the right. When a bounding triangle becomes real, its apex is */ -/* changed from NULL to a real vertex. */ -/* */ -/* Only two new triangles need to be allocated. These become new bounding */ -/* triangles at the top and bottom of the seam. They are used to connect */ -/* the remaining bounding triangles (those that have not been converted */ -/* into real triangles) into a single fan. */ -/* */ -/* On entry, `farleft' and `innerleft' are bounding triangles of the left */ -/* triangulation. The origin of `farleft' is the leftmost vertex, and */ -/* the destination of `innerleft' is the rightmost vertex of the */ -/* triangulation. Similarly, `innerright' and `farright' are bounding */ -/* triangles of the right triangulation. The origin of `innerright' and */ -/* destination of `farright' are the leftmost and rightmost vertices. */ -/* */ -/* On completion, the origin of `farleft' is the leftmost vertex of the */ -/* merged triangulation, and the destination of `farright' is the rightmost */ -/* vertex. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void mergehulls(struct mesh *m, struct behavior *b, struct otri *farleft, - struct otri *innerleft, struct otri *innerright, - struct otri *farright, int axis) -#else /* not ANSI_DECLARATORS */ -void mergehulls(m, b, farleft, innerleft, innerright, farright, axis) -struct mesh *m; -struct behavior *b; -struct otri *farleft; -struct otri *innerleft; -struct otri *innerright; -struct otri *farright; -int axis; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri leftcand, rightcand; - struct otri baseedge; - struct otri nextedge; - struct otri sidecasing, topcasing, outercasing; - struct otri checkedge; - vertex innerleftdest; - vertex innerrightorg; - vertex innerleftapex, innerrightapex; - vertex farleftpt, farrightpt; - vertex farleftapex, farrightapex; - vertex lowerleft, lowerright; - vertex upperleft, upperright; - vertex nextapex; - vertex checkvertex; - int changemade; - int badedge; - int leftfinished, rightfinished; - triangle ptr; /* Temporary variable used by sym(). */ - - dest(*innerleft, innerleftdest); - apex(*innerleft, innerleftapex); - org(*innerright, innerrightorg); - apex(*innerright, innerrightapex); - /* Special treatment for horizontal cuts. */ - if (b->dwyer && (axis == 1)) { - org(*farleft, farleftpt); - apex(*farleft, farleftapex); - dest(*farright, farrightpt); - apex(*farright, farrightapex); - /* The pointers to the extremal vertices are shifted to point to the */ - /* topmost and bottommost vertex of each hull, rather than the */ - /* leftmost and rightmost vertices. */ - while (farleftapex[1] < farleftpt[1]) { - lnextself(*farleft); - symself(*farleft); - farleftpt = farleftapex; - apex(*farleft, farleftapex); - } - sym(*innerleft, checkedge); - apex(checkedge, checkvertex); - while (checkvertex[1] > innerleftdest[1]) { - lnext(checkedge, *innerleft); - innerleftapex = innerleftdest; - innerleftdest = checkvertex; - sym(*innerleft, checkedge); - apex(checkedge, checkvertex); - } - while (innerrightapex[1] < innerrightorg[1]) { - lnextself(*innerright); - symself(*innerright); - innerrightorg = innerrightapex; - apex(*innerright, innerrightapex); - } - sym(*farright, checkedge); - apex(checkedge, checkvertex); - while (checkvertex[1] > farrightpt[1]) { - lnext(checkedge, *farright); - farrightapex = farrightpt; - farrightpt = checkvertex; - sym(*farright, checkedge); - apex(checkedge, checkvertex); - } - } - /* Find a line tangent to and below both hulls. */ - do { - changemade = 0; - /* Make innerleftdest the "bottommost" vertex of the left hull. */ - if (counterclockwise(m, b, innerleftdest, innerleftapex, innerrightorg) > - 0.0) { - lprevself(*innerleft); - symself(*innerleft); - innerleftdest = innerleftapex; - apex(*innerleft, innerleftapex); - changemade = 1; - } - /* Make innerrightorg the "bottommost" vertex of the right hull. */ - if (counterclockwise(m, b, innerrightapex, innerrightorg, innerleftdest) > - 0.0) { - lnextself(*innerright); - symself(*innerright); - innerrightorg = innerrightapex; - apex(*innerright, innerrightapex); - changemade = 1; - } - } while (changemade); - /* Find the two candidates to be the next "gear tooth." */ - sym(*innerleft, leftcand); - sym(*innerright, rightcand); - /* Create the bottom new bounding triangle. */ - maketriangle(m, b, &baseedge); - /* Connect it to the bounding boxes of the left and right triangulations. */ - bond(baseedge, *innerleft); - lnextself(baseedge); - bond(baseedge, *innerright); - lnextself(baseedge); - setorg(baseedge, innerrightorg); - setdest(baseedge, innerleftdest); - /* Apex is intentionally left NULL. */ - if (b->verbose > 2) { - fprintf(stderr, " Creating base bounding "); - printtriangle(m, b, &baseedge); - } - /* Fix the extreme triangles if necessary. */ - org(*farleft, farleftpt); - if (innerleftdest == farleftpt) { - lnext(baseedge, *farleft); - } - dest(*farright, farrightpt); - if (innerrightorg == farrightpt) { - lprev(baseedge, *farright); - } - /* The vertices of the current knitting edge. */ - lowerleft = innerleftdest; - lowerright = innerrightorg; - /* The candidate vertices for knitting. */ - apex(leftcand, upperleft); - apex(rightcand, upperright); - /* Walk up the gap between the two triangulations, knitting them together. */ - while (1) { - /* Have we reached the top? (This isn't quite the right question, */ - /* because even though the left triangulation might seem finished now, */ - /* moving up on the right triangulation might reveal a new vertex of */ - /* the left triangulation. And vice-versa.) */ - leftfinished = counterclockwise(m, b, upperleft, lowerleft, lowerright) <= - 0.0; - rightfinished = counterclockwise(m, b, upperright, lowerleft, lowerright) - <= 0.0; - if (leftfinished && rightfinished) { - /* Create the top new bounding triangle. */ - maketriangle(m, b, &nextedge); - setorg(nextedge, lowerleft); - setdest(nextedge, lowerright); - /* Apex is intentionally left NULL. */ - /* Connect it to the bounding boxes of the two triangulations. */ - bond(nextedge, baseedge); - lnextself(nextedge); - bond(nextedge, rightcand); - lnextself(nextedge); - bond(nextedge, leftcand); - if (b->verbose > 2) { - fprintf(stderr, " Creating top bounding "); - printtriangle(m, b, &nextedge); - } - /* Special treatment for horizontal cuts. */ - if (b->dwyer && (axis == 1)) { - org(*farleft, farleftpt); - apex(*farleft, farleftapex); - dest(*farright, farrightpt); - apex(*farright, farrightapex); - sym(*farleft, checkedge); - apex(checkedge, checkvertex); - /* The pointers to the extremal vertices are restored to the */ - /* leftmost and rightmost vertices (rather than topmost and */ - /* bottommost). */ - while (checkvertex[0] < farleftpt[0]) { - lprev(checkedge, *farleft); - farleftapex = farleftpt; - farleftpt = checkvertex; - sym(*farleft, checkedge); - apex(checkedge, checkvertex); - } - while (farrightapex[0] > farrightpt[0]) { - lprevself(*farright); - symself(*farright); - farrightpt = farrightapex; - apex(*farright, farrightapex); - } - } - return; - } - /* Consider eliminating edges from the left triangulation. */ - if (!leftfinished) { - /* What vertex would be exposed if an edge were deleted? */ - lprev(leftcand, nextedge); - symself(nextedge); - apex(nextedge, nextapex); - /* If nextapex is NULL, then no vertex would be exposed; the */ - /* triangulation would have been eaten right through. */ - if (nextapex != (vertex) NULL) { - /* Check whether the edge is Delaunay. */ - badedge = incircle(m, b, lowerleft, lowerright, upperleft, nextapex) > - 0.0; - while (badedge) { - /* Eliminate the edge with an edge flip. As a result, the */ - /* left triangulation will have one more boundary triangle. */ - lnextself(nextedge); - sym(nextedge, topcasing); - lnextself(nextedge); - sym(nextedge, sidecasing); - bond(nextedge, topcasing); - bond(leftcand, sidecasing); - lnextself(leftcand); - sym(leftcand, outercasing); - lprevself(nextedge); - bond(nextedge, outercasing); - /* Correct the vertices to reflect the edge flip. */ - setorg(leftcand, lowerleft); - setdest(leftcand, NULL); - setapex(leftcand, nextapex); - setorg(nextedge, NULL); - setdest(nextedge, upperleft); - setapex(nextedge, nextapex); - /* Consider the newly exposed vertex. */ - upperleft = nextapex; - /* What vertex would be exposed if another edge were deleted? */ - otricopy(sidecasing, nextedge); - apex(nextedge, nextapex); - if (nextapex != (vertex) NULL) { - /* Check whether the edge is Delaunay. */ - badedge = incircle(m, b, lowerleft, lowerright, upperleft, - nextapex) > 0.0; - } else { - /* Avoid eating right through the triangulation. */ - badedge = 0; - } - } - } - } - /* Consider eliminating edges from the right triangulation. */ - if (!rightfinished) { - /* What vertex would be exposed if an edge were deleted? */ - lnext(rightcand, nextedge); - symself(nextedge); - apex(nextedge, nextapex); - /* If nextapex is NULL, then no vertex would be exposed; the */ - /* triangulation would have been eaten right through. */ - if (nextapex != (vertex) NULL) { - /* Check whether the edge is Delaunay. */ - badedge = incircle(m, b, lowerleft, lowerright, upperright, nextapex) > - 0.0; - while (badedge) { - /* Eliminate the edge with an edge flip. As a result, the */ - /* right triangulation will have one more boundary triangle. */ - lprevself(nextedge); - sym(nextedge, topcasing); - lprevself(nextedge); - sym(nextedge, sidecasing); - bond(nextedge, topcasing); - bond(rightcand, sidecasing); - lprevself(rightcand); - sym(rightcand, outercasing); - lnextself(nextedge); - bond(nextedge, outercasing); - /* Correct the vertices to reflect the edge flip. */ - setorg(rightcand, NULL); - setdest(rightcand, lowerright); - setapex(rightcand, nextapex); - setorg(nextedge, upperright); - setdest(nextedge, NULL); - setapex(nextedge, nextapex); - /* Consider the newly exposed vertex. */ - upperright = nextapex; - /* What vertex would be exposed if another edge were deleted? */ - otricopy(sidecasing, nextedge); - apex(nextedge, nextapex); - if (nextapex != (vertex) NULL) { - /* Check whether the edge is Delaunay. */ - badedge = incircle(m, b, lowerleft, lowerright, upperright, - nextapex) > 0.0; - } else { - /* Avoid eating right through the triangulation. */ - badedge = 0; - } - } - } - } - if (leftfinished || (!rightfinished && - (incircle(m, b, upperleft, lowerleft, lowerright, upperright) > - 0.0))) { - /* Knit the triangulations, adding an edge from `lowerleft' */ - /* to `upperright'. */ - bond(baseedge, rightcand); - lprev(rightcand, baseedge); - setdest(baseedge, lowerleft); - lowerright = upperright; - sym(baseedge, rightcand); - apex(rightcand, upperright); - } else { - /* Knit the triangulations, adding an edge from `upperleft' */ - /* to `lowerright'. */ - bond(baseedge, leftcand); - lnext(leftcand, baseedge); - setorg(baseedge, lowerright); - lowerleft = upperleft; - sym(baseedge, leftcand); - apex(leftcand, upperleft); - } - if (b->verbose > 2) { - fprintf(stderr, " Connecting "); - printtriangle(m, b, &baseedge); - } - } -} - -/*****************************************************************************/ -/* */ -/* divconqrecurse() Recursively form a Delaunay triangulation by the */ -/* divide-and-conquer method. */ -/* */ -/* Recursively breaks down the problem into smaller pieces, which are */ -/* knitted together by mergehulls(). The base cases (problems of two or */ -/* three vertices) are handled specially here. */ -/* */ -/* On completion, `farleft' and `farright' are bounding triangles such that */ -/* the origin of `farleft' is the leftmost vertex (breaking ties by */ -/* choosing the highest leftmost vertex), and the destination of */ -/* `farright' is the rightmost vertex (breaking ties by choosing the */ -/* lowest rightmost vertex). */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void divconqrecurse(struct mesh *m, struct behavior *b, vertex *sortarray, - int vertices, int axis, - struct otri *farleft, struct otri *farright) -#else /* not ANSI_DECLARATORS */ -void divconqrecurse(m, b, sortarray, vertices, axis, farleft, farright) -struct mesh *m; -struct behavior *b; -vertex *sortarray; -int vertices; -int axis; -struct otri *farleft; -struct otri *farright; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri midtri, tri1, tri2, tri3; - struct otri innerleft, innerright; - REAL area; - int divider; - - if (b->verbose > 2) { - fprintf(stderr, " Triangulating %d vertices.\n", vertices); - } - if (vertices == 2) { - /* The triangulation of two vertices is an edge. An edge is */ - /* represented by two bounding triangles. */ - maketriangle(m, b, farleft); - setorg(*farleft, sortarray[0]); - setdest(*farleft, sortarray[1]); - /* The apex is intentionally left NULL. */ - maketriangle(m, b, farright); - setorg(*farright, sortarray[1]); - setdest(*farright, sortarray[0]); - /* The apex is intentionally left NULL. */ - bond(*farleft, *farright); - lprevself(*farleft); - lnextself(*farright); - bond(*farleft, *farright); - lprevself(*farleft); - lnextself(*farright); - bond(*farleft, *farright); - if (b->verbose > 2) { - fprintf(stderr, " Creating "); - printtriangle(m, b, farleft); - fprintf(stderr, " Creating "); - printtriangle(m, b, farright); - } - /* Ensure that the origin of `farleft' is sortarray[0]. */ - lprev(*farright, *farleft); - return; - } else if (vertices == 3) { - /* The triangulation of three vertices is either a triangle (with */ - /* three bounding triangles) or two edges (with four bounding */ - /* triangles). In either case, four triangles are created. */ - maketriangle(m, b, &midtri); - maketriangle(m, b, &tri1); - maketriangle(m, b, &tri2); - maketriangle(m, b, &tri3); - area = counterclockwise(m, b, sortarray[0], sortarray[1], sortarray[2]); - if (area == 0.0) { - /* Three collinear vertices; the triangulation is two edges. */ - setorg(midtri, sortarray[0]); - setdest(midtri, sortarray[1]); - setorg(tri1, sortarray[1]); - setdest(tri1, sortarray[0]); - setorg(tri2, sortarray[2]); - setdest(tri2, sortarray[1]); - setorg(tri3, sortarray[1]); - setdest(tri3, sortarray[2]); - /* All apices are intentionally left NULL. */ - bond(midtri, tri1); - bond(tri2, tri3); - lnextself(midtri); - lprevself(tri1); - lnextself(tri2); - lprevself(tri3); - bond(midtri, tri3); - bond(tri1, tri2); - lnextself(midtri); - lprevself(tri1); - lnextself(tri2); - lprevself(tri3); - bond(midtri, tri1); - bond(tri2, tri3); - /* Ensure that the origin of `farleft' is sortarray[0]. */ - otricopy(tri1, *farleft); - /* Ensure that the destination of `farright' is sortarray[2]. */ - otricopy(tri2, *farright); - } else { - /* The three vertices are not collinear; the triangulation is one */ - /* triangle, namely `midtri'. */ - setorg(midtri, sortarray[0]); - setdest(tri1, sortarray[0]); - setorg(tri3, sortarray[0]); - /* Apices of tri1, tri2, and tri3 are left NULL. */ - if (area > 0.0) { - /* The vertices are in counterclockwise order. */ - setdest(midtri, sortarray[1]); - setorg(tri1, sortarray[1]); - setdest(tri2, sortarray[1]); - setapex(midtri, sortarray[2]); - setorg(tri2, sortarray[2]); - setdest(tri3, sortarray[2]); - } else { - /* The vertices are in clockwise order. */ - setdest(midtri, sortarray[2]); - setorg(tri1, sortarray[2]); - setdest(tri2, sortarray[2]); - setapex(midtri, sortarray[1]); - setorg(tri2, sortarray[1]); - setdest(tri3, sortarray[1]); - } - /* The topology does not depend on how the vertices are ordered. */ - bond(midtri, tri1); - lnextself(midtri); - bond(midtri, tri2); - lnextself(midtri); - bond(midtri, tri3); - lprevself(tri1); - lnextself(tri2); - bond(tri1, tri2); - lprevself(tri1); - lprevself(tri3); - bond(tri1, tri3); - lnextself(tri2); - lprevself(tri3); - bond(tri2, tri3); - /* Ensure that the origin of `farleft' is sortarray[0]. */ - otricopy(tri1, *farleft); - /* Ensure that the destination of `farright' is sortarray[2]. */ - if (area > 0.0) { - otricopy(tri2, *farright); - } else { - lnext(*farleft, *farright); - } - } - if (b->verbose > 2) { - fprintf(stderr, " Creating "); - printtriangle(m, b, &midtri); - fprintf(stderr, " Creating "); - printtriangle(m, b, &tri1); - fprintf(stderr, " Creating "); - printtriangle(m, b, &tri2); - fprintf(stderr, " Creating "); - printtriangle(m, b, &tri3); - } - return; - } else { - /* Split the vertices in half. */ - divider = vertices >> 1; - /* Recursively triangulate each half. */ - divconqrecurse(m, b, sortarray, divider, 1 - axis, farleft, &innerleft); - divconqrecurse(m, b, &sortarray[divider], vertices - divider, 1 - axis, - &innerright, farright); - if (b->verbose > 1) { - fprintf(stderr, " Joining triangulations with %d and %d vertices.\n", divider, - vertices - divider); - } - /* Merge the two triangulations into one. */ - mergehulls(m, b, farleft, &innerleft, &innerright, farright, axis); - } -} - -#ifdef ANSI_DECLARATORS -long removeghosts(struct mesh *m, struct behavior *b, struct otri *startghost) -#else /* not ANSI_DECLARATORS */ -long removeghosts(m, b, startghost) -struct mesh *m; -struct behavior *b; -struct otri *startghost; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri searchedge; - struct otri dissolveedge; - struct otri deadtriangle; - vertex markorg; - long hullsize; - triangle ptr; /* Temporary variable used by sym(). */ - - if (b->verbose) { - fprintf(stderr, " Removing ghost triangles.\n"); - } - /* Find an edge on the convex hull to start point location from. */ - lprev(*startghost, searchedge); - symself(searchedge); - m->dummytri[0] = encode(searchedge); - /* Remove the bounding box and count the convex hull edges. */ - otricopy(*startghost, dissolveedge); - hullsize = 0; - do { - hullsize++; - lnext(dissolveedge, deadtriangle); - lprevself(dissolveedge); - symself(dissolveedge); - /* If no PSLG is involved, set the boundary markers of all the vertices */ - /* on the convex hull. If a PSLG is used, this step is done later. */ - if (!b->poly) { - /* Watch out for the case where all the input vertices are collinear. */ - if (dissolveedge.tri != m->dummytri) { - org(dissolveedge, markorg); - if (vertexmark(markorg) == 0) { - setvertexmark(markorg, 1); - } - } - } - /* Remove a bounding triangle from a convex hull triangle. */ - dissolve(dissolveedge); - /* Find the next bounding triangle. */ - sym(deadtriangle, dissolveedge); - /* Delete the bounding triangle. */ - triangledealloc(m, deadtriangle.tri); - } while (!otriequal(dissolveedge, *startghost)); - return hullsize; -} - -/*****************************************************************************/ -/* */ -/* divconqdelaunay() Form a Delaunay triangulation by the divide-and- */ -/* conquer method. */ -/* */ -/* Sorts the vertices, calls a recursive procedure to triangulate them, and */ -/* removes the bounding box, setting boundary markers as appropriate. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -long divconqdelaunay(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -long divconqdelaunay(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - vertex *sortarray; - struct otri hullleft, hullright; - int divider; - int i, j; - - if (b->verbose) { - fprintf(stderr, " Sorting vertices.\n"); - } - - /* Allocate an array of pointers to vertices for sorting. */ - sortarray = (vertex *) trimalloc(m->invertices * sizeof(vertex)); - traversalinit(&m->vertices); - for (i = 0; i < m->invertices; i++) { - sortarray[i] = vertextraverse(m); - } - /* Sort the vertices. */ - vertexsort(sortarray, m->invertices); - /* Discard duplicate vertices, which can really mess up the algorithm. */ - i = 0; - for (j = 1; j < m->invertices; j++) { - if ((sortarray[i][0] == sortarray[j][0]) - && (sortarray[i][1] == sortarray[j][1])) { - if (!b->quiet) { - fprintf(stderr, -"Warning: A duplicate vertex at (%.12g, %.12g) appeared and was ignored.\n", - sortarray[j][0], sortarray[j][1]); - } - setvertextype(sortarray[j], UNDEADVERTEX); - m->undeads++; - } else { - i++; - sortarray[i] = sortarray[j]; - } - } - i++; - if (b->dwyer) { - /* Re-sort the array of vertices to accommodate alternating cuts. */ - divider = i >> 1; - if (i - divider >= 2) { - if (divider >= 2) { - alternateaxes(sortarray, divider, 1); - } - alternateaxes(&sortarray[divider], i - divider, 1); - } - } - - if (b->verbose) { - fprintf(stderr, " Forming triangulation.\n"); - } - - /* Form the Delaunay triangulation. */ - divconqrecurse(m, b, sortarray, i, 0, &hullleft, &hullright); - trifree((VOID *) sortarray); - - return removeghosts(m, b, &hullleft); -} - -/** **/ -/** **/ -/********* Divide-and-conquer Delaunay triangulation ends here *********/ - -/********* Incremental Delaunay triangulation begins here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* boundingbox() Form an "infinite" bounding triangle to insert vertices */ -/* into. */ -/* */ -/* The vertices at "infinity" are assigned finite coordinates, which are */ -/* used by the point location routines, but (mostly) ignored by the */ -/* Delaunay edge flip routines. */ -/* */ -/*****************************************************************************/ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -void boundingbox(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void boundingbox(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri inftri; /* Handle for the triangular bounding box. */ - REAL width; - - if (b->verbose) { - fprintf(stderr, " Creating triangular bounding box.\n"); - } - /* Find the width (or height, whichever is larger) of the triangulation. */ - width = m->xmax - m->xmin; - if (m->ymax - m->ymin > width) { - width = m->ymax - m->ymin; - } - if (width == 0.0) { - width = 1.0; - } - /* Create the vertices of the bounding box. */ - m->infvertex1 = (vertex) trimalloc(m->vertices.itembytes); - m->infvertex2 = (vertex) trimalloc(m->vertices.itembytes); - m->infvertex3 = (vertex) trimalloc(m->vertices.itembytes); - m->infvertex1[0] = m->xmin - 50.0 * width; - m->infvertex1[1] = m->ymin - 40.0 * width; - m->infvertex2[0] = m->xmax + 50.0 * width; - m->infvertex2[1] = m->ymin - 40.0 * width; - m->infvertex3[0] = 0.5 * (m->xmin + m->xmax); - m->infvertex3[1] = m->ymax + 60.0 * width; - - /* Create the bounding box. */ - maketriangle(m, b, &inftri); - setorg(inftri, m->infvertex1); - setdest(inftri, m->infvertex2); - setapex(inftri, m->infvertex3); - /* Link dummytri to the bounding box so we can always find an */ - /* edge to begin searching (point location) from. */ - m->dummytri[0] = (triangle) inftri.tri; - if (b->verbose > 2) { - fprintf(stderr, " Creating "); - printtriangle(m, b, &inftri); - } -} - -#endif /* not REDUCED */ - -/*****************************************************************************/ -/* */ -/* removebox() Remove the "infinite" bounding triangle, setting boundary */ -/* markers as appropriate. */ -/* */ -/* The triangular bounding box has three boundary triangles (one for each */ -/* side of the bounding box), and a bunch of triangles fanning out from */ -/* the three bounding box vertices (one triangle for each edge of the */ -/* convex hull of the inner mesh). This routine removes these triangles. */ -/* */ -/* Returns the number of edges on the convex hull of the triangulation. */ -/* */ -/*****************************************************************************/ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -long removebox(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -long removebox(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri deadtriangle; - struct otri searchedge; - struct otri checkedge; - struct otri nextedge, finaledge, dissolveedge; - vertex markorg; - long hullsize; - triangle ptr; /* Temporary variable used by sym(). */ - - if (b->verbose) { - fprintf(stderr, " Removing triangular bounding box.\n"); - } - /* Find a boundary triangle. */ - nextedge.tri = m->dummytri; - nextedge.orient = 0; - symself(nextedge); - /* Mark a place to stop. */ - lprev(nextedge, finaledge); - lnextself(nextedge); - symself(nextedge); - /* Find a triangle (on the boundary of the vertex set) that isn't */ - /* a bounding box triangle. */ - lprev(nextedge, searchedge); - symself(searchedge); - /* Check whether nextedge is another boundary triangle */ - /* adjacent to the first one. */ - lnext(nextedge, checkedge); - symself(checkedge); - if (checkedge.tri == m->dummytri) { - /* Go on to the next triangle. There are only three boundary */ - /* triangles, and this next triangle cannot be the third one, */ - /* so it's safe to stop here. */ - lprevself(searchedge); - symself(searchedge); - } - /* Find a new boundary edge to search from, as the current search */ - /* edge lies on a bounding box triangle and will be deleted. */ - m->dummytri[0] = encode(searchedge); - hullsize = -2l; - while (!otriequal(nextedge, finaledge)) { - hullsize++; - lprev(nextedge, dissolveedge); - symself(dissolveedge); - /* If not using a PSLG, the vertices should be marked now. */ - /* (If using a PSLG, markhull() will do the job.) */ - if (!b->poly) { - /* Be careful! One must check for the case where all the input */ - /* vertices are collinear, and thus all the triangles are part of */ - /* the bounding box. Otherwise, the setvertexmark() call below */ - /* will cause a bad pointer reference. */ - if (dissolveedge.tri != m->dummytri) { - org(dissolveedge, markorg); - if (vertexmark(markorg) == 0) { - setvertexmark(markorg, 1); - } - } - } - /* Disconnect the bounding box triangle from the mesh triangle. */ - dissolve(dissolveedge); - lnext(nextedge, deadtriangle); - sym(deadtriangle, nextedge); - /* Get rid of the bounding box triangle. */ - triangledealloc(m, deadtriangle.tri); - /* Do we need to turn the corner? */ - if (nextedge.tri == m->dummytri) { - /* Turn the corner. */ - otricopy(dissolveedge, nextedge); - } - } - triangledealloc(m, finaledge.tri); - - trifree((VOID *) m->infvertex1); /* Deallocate the bounding box vertices. */ - trifree((VOID *) m->infvertex2); - trifree((VOID *) m->infvertex3); - - return hullsize; -} - -#endif /* not REDUCED */ - -/*****************************************************************************/ -/* */ -/* incrementaldelaunay() Form a Delaunay triangulation by incrementally */ -/* inserting vertices. */ -/* */ -/* Returns the number of edges on the convex hull of the triangulation. */ -/* */ -/*****************************************************************************/ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -long incrementaldelaunay(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -long incrementaldelaunay(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri starttri; - vertex vertexloop; - - /* Create a triangular bounding box. */ - boundingbox(m, b); - if (b->verbose) { - fprintf(stderr, " Incrementally inserting vertices.\n"); - } - traversalinit(&m->vertices); - vertexloop = vertextraverse(m); - while (vertexloop != (vertex) NULL) { - starttri.tri = m->dummytri; - if (insertvertex(m, b, vertexloop, &starttri, (struct osub *) NULL, 0, 0, - 0.0) == DUPLICATEVERTEX) { - if (!b->quiet) { - fprintf(stderr, -"Warning: A duplicate vertex at (%.12g, %.12g) appeared and was ignored.\n", - vertexloop[0], vertexloop[1]); - } - setvertextype(vertexloop, UNDEADVERTEX); - m->undeads++; - } - vertexloop = vertextraverse(m); - } - /* Remove the bounding box. */ - return removebox(m, b); -} - -#endif /* not REDUCED */ - -/** **/ -/** **/ -/********* Incremental Delaunay triangulation ends here *********/ - -/********* Sweepline Delaunay triangulation begins here *********/ -/** **/ -/** **/ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -void eventheapinsert(struct event **heap, int heapsize, struct event *newevent) -#else /* not ANSI_DECLARATORS */ -void eventheapinsert(heap, heapsize, newevent) -struct event **heap; -int heapsize; -struct event *newevent; -#endif /* not ANSI_DECLARATORS */ - -{ - REAL eventx, eventy; - int eventnum; - int parent; - int notdone; - - eventx = newevent->xkey; - eventy = newevent->ykey; - eventnum = heapsize; - notdone = eventnum > 0; - while (notdone) { - parent = (eventnum - 1) >> 1; - if ((heap[parent]->ykey < eventy) || - ((heap[parent]->ykey == eventy) - && (heap[parent]->xkey <= eventx))) { - notdone = 0; - } else { - heap[eventnum] = heap[parent]; - heap[eventnum]->heapposition = eventnum; - - eventnum = parent; - notdone = eventnum > 0; - } - } - heap[eventnum] = newevent; - newevent->heapposition = eventnum; -} - -#endif /* not REDUCED */ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -void eventheapify(struct event **heap, int heapsize, int eventnum) -#else /* not ANSI_DECLARATORS */ -void eventheapify(heap, heapsize, eventnum) -struct event **heap; -int heapsize; -int eventnum; -#endif /* not ANSI_DECLARATORS */ - -{ - struct event *thisevent; - REAL eventx, eventy; - int leftchild, rightchild; - int smallest; - int notdone; - - thisevent = heap[eventnum]; - eventx = thisevent->xkey; - eventy = thisevent->ykey; - leftchild = 2 * eventnum + 1; - notdone = leftchild < heapsize; - while (notdone) { - if ((heap[leftchild]->ykey < eventy) || - ((heap[leftchild]->ykey == eventy) - && (heap[leftchild]->xkey < eventx))) { - smallest = leftchild; - } else { - smallest = eventnum; - } - rightchild = leftchild + 1; - if (rightchild < heapsize) { - if ((heap[rightchild]->ykey < heap[smallest]->ykey) || - ((heap[rightchild]->ykey == heap[smallest]->ykey) - && (heap[rightchild]->xkey < heap[smallest]->xkey))) { - smallest = rightchild; - } - } - if (smallest == eventnum) { - notdone = 0; - } else { - heap[eventnum] = heap[smallest]; - heap[eventnum]->heapposition = eventnum; - heap[smallest] = thisevent; - thisevent->heapposition = smallest; - - eventnum = smallest; - leftchild = 2 * eventnum + 1; - notdone = leftchild < heapsize; - } - } -} - -#endif /* not REDUCED */ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -void eventheapdelete(struct event **heap, int heapsize, int eventnum) -#else /* not ANSI_DECLARATORS */ -void eventheapdelete(heap, heapsize, eventnum) -struct event **heap; -int heapsize; -int eventnum; -#endif /* not ANSI_DECLARATORS */ - -{ - struct event *moveevent; - REAL eventx, eventy; - int parent; - int notdone; - - moveevent = heap[heapsize - 1]; - if (eventnum > 0) { - eventx = moveevent->xkey; - eventy = moveevent->ykey; - do { - parent = (eventnum - 1) >> 1; - if ((heap[parent]->ykey < eventy) || - ((heap[parent]->ykey == eventy) - && (heap[parent]->xkey <= eventx))) { - notdone = 0; - } else { - heap[eventnum] = heap[parent]; - heap[eventnum]->heapposition = eventnum; - - eventnum = parent; - notdone = eventnum > 0; - } - } while (notdone); - } - heap[eventnum] = moveevent; - moveevent->heapposition = eventnum; - eventheapify(heap, heapsize - 1, eventnum); -} - -#endif /* not REDUCED */ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -void createeventheap(struct mesh *m, struct event ***eventheap, - struct event **events, struct event **freeevents) -#else /* not ANSI_DECLARATORS */ -void createeventheap(m, eventheap, events, freeevents) -struct mesh *m; -struct event ***eventheap; -struct event **events; -struct event **freeevents; -#endif /* not ANSI_DECLARATORS */ - -{ - vertex thisvertex; - int maxevents; - int i; - - maxevents = (3 * m->invertices) / 2; - *eventheap = (struct event **) trimalloc(maxevents * sizeof(struct event *)); - *events = (struct event *) trimalloc(maxevents * sizeof(struct event)); - traversalinit(&m->vertices); - for (i = 0; i < m->invertices; i++) { - thisvertex = vertextraverse(m); - (*events)[i].eventptr = (VOID *) thisvertex; - (*events)[i].xkey = thisvertex[0]; - (*events)[i].ykey = thisvertex[1]; - eventheapinsert(*eventheap, i, *events + i); - } - *freeevents = (struct event *) NULL; - for (i = maxevents - 1; i >= m->invertices; i--) { - (*events)[i].eventptr = (VOID *) *freeevents; - *freeevents = *events + i; - } -} - -#endif /* not REDUCED */ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -int rightofhyperbola(struct mesh *m, struct otri *fronttri, vertex newsite) -#else /* not ANSI_DECLARATORS */ -int rightofhyperbola(m, fronttri, newsite) -struct mesh *m; -struct otri *fronttri; -vertex newsite; -#endif /* not ANSI_DECLARATORS */ - -{ - vertex leftvertex, rightvertex; - REAL dxa, dya, dxb, dyb; - - m->hyperbolacount++; - - dest(*fronttri, leftvertex); - apex(*fronttri, rightvertex); - if ((leftvertex[1] < rightvertex[1]) || - ((leftvertex[1] == rightvertex[1]) && - (leftvertex[0] < rightvertex[0]))) { - if (newsite[0] >= rightvertex[0]) { - return 1; - } - } else { - if (newsite[0] <= leftvertex[0]) { - return 0; - } - } - dxa = leftvertex[0] - newsite[0]; - dya = leftvertex[1] - newsite[1]; - dxb = rightvertex[0] - newsite[0]; - dyb = rightvertex[1] - newsite[1]; - return dya * (dxb * dxb + dyb * dyb) > dyb * (dxa * dxa + dya * dya); -} - -#endif /* not REDUCED */ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -REAL circletop(struct mesh *m, vertex pa, vertex pb, vertex pc, REAL ccwabc) -#else /* not ANSI_DECLARATORS */ -REAL circletop(m, pa, pb, pc, ccwabc) -struct mesh *m; -vertex pa; -vertex pb; -vertex pc; -REAL ccwabc; -#endif /* not ANSI_DECLARATORS */ - -{ - REAL xac, yac, xbc, ybc, xab, yab; - REAL aclen2, bclen2, ablen2; - - m->circletopcount++; - - xac = pa[0] - pc[0]; - yac = pa[1] - pc[1]; - xbc = pb[0] - pc[0]; - ybc = pb[1] - pc[1]; - xab = pa[0] - pb[0]; - yab = pa[1] - pb[1]; - aclen2 = xac * xac + yac * yac; - bclen2 = xbc * xbc + ybc * ybc; - ablen2 = xab * xab + yab * yab; - return pc[1] + (xac * bclen2 - xbc * aclen2 + sqrt(aclen2 * bclen2 * ablen2)) - / (2.0 * ccwabc); -} - -#endif /* not REDUCED */ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -void check4deadevent(struct otri *checktri, struct event **freeevents, - struct event **eventheap, int *heapsize) -#else /* not ANSI_DECLARATORS */ -void check4deadevent(checktri, freeevents, eventheap, heapsize) -struct otri *checktri; -struct event **freeevents; -struct event **eventheap; -int *heapsize; -#endif /* not ANSI_DECLARATORS */ - -{ - struct event *deadevent; - vertex eventvertex; - int eventnum; - - org(*checktri, eventvertex); - if (eventvertex != (vertex) NULL) { - deadevent = (struct event *) eventvertex; - eventnum = deadevent->heapposition; - deadevent->eventptr = (VOID *) *freeevents; - *freeevents = deadevent; - eventheapdelete(eventheap, *heapsize, eventnum); - (*heapsize)--; - setorg(*checktri, NULL); - } -} - -#endif /* not REDUCED */ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -struct splaynode *splay(struct mesh *m, struct splaynode *splaytree, - vertex searchpoint, struct otri *searchtri) -#else /* not ANSI_DECLARATORS */ -struct splaynode *splay(m, splaytree, searchpoint, searchtri) -struct mesh *m; -struct splaynode *splaytree; -vertex searchpoint; -struct otri *searchtri; -#endif /* not ANSI_DECLARATORS */ - -{ - struct splaynode *child, *grandchild; - struct splaynode *lefttree, *righttree; - struct splaynode *leftright; - vertex checkvertex; - int rightofroot, rightofchild; - - if (splaytree == (struct splaynode *) NULL) { - return (struct splaynode *) NULL; - } - dest(splaytree->keyedge, checkvertex); - if (checkvertex == splaytree->keydest) { - rightofroot = rightofhyperbola(m, &splaytree->keyedge, searchpoint); - if (rightofroot) { - otricopy(splaytree->keyedge, *searchtri); - child = splaytree->rchild; - } else { - child = splaytree->lchild; - } - if (child == (struct splaynode *) NULL) { - return splaytree; - } - dest(child->keyedge, checkvertex); - if (checkvertex != child->keydest) { - child = splay(m, child, searchpoint, searchtri); - if (child == (struct splaynode *) NULL) { - if (rightofroot) { - splaytree->rchild = (struct splaynode *) NULL; - } else { - splaytree->lchild = (struct splaynode *) NULL; - } - return splaytree; - } - } - rightofchild = rightofhyperbola(m, &child->keyedge, searchpoint); - if (rightofchild) { - otricopy(child->keyedge, *searchtri); - grandchild = splay(m, child->rchild, searchpoint, searchtri); - child->rchild = grandchild; - } else { - grandchild = splay(m, child->lchild, searchpoint, searchtri); - child->lchild = grandchild; - } - if (grandchild == (struct splaynode *) NULL) { - if (rightofroot) { - splaytree->rchild = child->lchild; - child->lchild = splaytree; - } else { - splaytree->lchild = child->rchild; - child->rchild = splaytree; - } - return child; - } - if (rightofchild) { - if (rightofroot) { - splaytree->rchild = child->lchild; - child->lchild = splaytree; - } else { - splaytree->lchild = grandchild->rchild; - grandchild->rchild = splaytree; - } - child->rchild = grandchild->lchild; - grandchild->lchild = child; - } else { - if (rightofroot) { - splaytree->rchild = grandchild->lchild; - grandchild->lchild = splaytree; - } else { - splaytree->lchild = child->rchild; - child->rchild = splaytree; - } - child->lchild = grandchild->rchild; - grandchild->rchild = child; - } - return grandchild; - } else { - lefttree = splay(m, splaytree->lchild, searchpoint, searchtri); - righttree = splay(m, splaytree->rchild, searchpoint, searchtri); - - pooldealloc(&m->splaynodes, (VOID *) splaytree); - if (lefttree == (struct splaynode *) NULL) { - return righttree; - } else if (righttree == (struct splaynode *) NULL) { - return lefttree; - } else if (lefttree->rchild == (struct splaynode *) NULL) { - lefttree->rchild = righttree->lchild; - righttree->lchild = lefttree; - return righttree; - } else if (righttree->lchild == (struct splaynode *) NULL) { - righttree->lchild = lefttree->rchild; - lefttree->rchild = righttree; - return lefttree; - } else { -/* fprintf(stderr, "Holy Toledo!!!\n"); */ - leftright = lefttree->rchild; - while (leftright->rchild != (struct splaynode *) NULL) { - leftright = leftright->rchild; - } - leftright->rchild = righttree; - return lefttree; - } - } -} - -#endif /* not REDUCED */ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -struct splaynode *splayinsert(struct mesh *m, struct splaynode *splayroot, - struct otri *newkey, vertex searchpoint) -#else /* not ANSI_DECLARATORS */ -struct splaynode *splayinsert(m, splayroot, newkey, searchpoint) -struct mesh *m; -struct splaynode *splayroot; -struct otri *newkey; -vertex searchpoint; -#endif /* not ANSI_DECLARATORS */ - -{ - struct splaynode *newsplaynode; - - newsplaynode = (struct splaynode *) poolalloc(&m->splaynodes); - otricopy(*newkey, newsplaynode->keyedge); - dest(*newkey, newsplaynode->keydest); - if (splayroot == (struct splaynode *) NULL) { - newsplaynode->lchild = (struct splaynode *) NULL; - newsplaynode->rchild = (struct splaynode *) NULL; - } else if (rightofhyperbola(m, &splayroot->keyedge, searchpoint)) { - newsplaynode->lchild = splayroot; - newsplaynode->rchild = splayroot->rchild; - splayroot->rchild = (struct splaynode *) NULL; - } else { - newsplaynode->lchild = splayroot->lchild; - newsplaynode->rchild = splayroot; - splayroot->lchild = (struct splaynode *) NULL; - } - return newsplaynode; -} - -#endif /* not REDUCED */ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -struct splaynode *circletopinsert(struct mesh *m, struct behavior *b, - struct splaynode *splayroot, - struct otri *newkey, - vertex pa, vertex pb, vertex pc, REAL topy) -#else /* not ANSI_DECLARATORS */ -struct splaynode *circletopinsert(m, b, splayroot, newkey, pa, pb, pc, topy) -struct mesh *m; -struct behavior *b; -struct splaynode *splayroot; -struct otri *newkey; -vertex pa; -vertex pb; -vertex pc; -REAL topy; -#endif /* not ANSI_DECLARATORS */ - -{ - REAL ccwabc; - REAL xac, yac, xbc, ybc; - REAL aclen2, bclen2; - REAL searchpoint[2]; - struct otri dummytri; - - ccwabc = counterclockwise(m, b, pa, pb, pc); - xac = pa[0] - pc[0]; - yac = pa[1] - pc[1]; - xbc = pb[0] - pc[0]; - ybc = pb[1] - pc[1]; - aclen2 = xac * xac + yac * yac; - bclen2 = xbc * xbc + ybc * ybc; - searchpoint[0] = pc[0] - (yac * bclen2 - ybc * aclen2) / (2.0 * ccwabc); - searchpoint[1] = topy; - return splayinsert(m, splay(m, splayroot, (vertex) searchpoint, &dummytri), - newkey, (vertex) searchpoint); -} - -#endif /* not REDUCED */ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -struct splaynode *frontlocate(struct mesh *m, struct splaynode *splayroot, - struct otri *bottommost, vertex searchvertex, - struct otri *searchtri, int *farright) -#else /* not ANSI_DECLARATORS */ -struct splaynode *frontlocate(m, splayroot, bottommost, searchvertex, - searchtri, farright) -struct mesh *m; -struct splaynode *splayroot; -struct otri *bottommost; -vertex searchvertex; -struct otri *searchtri; -int *farright; -#endif /* not ANSI_DECLARATORS */ - -{ - int farrightflag; - triangle ptr; /* Temporary variable used by onext(). */ - - otricopy(*bottommost, *searchtri); - splayroot = splay(m, splayroot, searchvertex, searchtri); - - farrightflag = 0; - while (!farrightflag && rightofhyperbola(m, searchtri, searchvertex)) { - onextself(*searchtri); - farrightflag = otriequal(*searchtri, *bottommost); - } - *farright = farrightflag; - return splayroot; -} - -#endif /* not REDUCED */ - -#ifndef REDUCED - -#ifdef ANSI_DECLARATORS -long sweeplinedelaunay(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -long sweeplinedelaunay(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct event **eventheap; - struct event *events; - struct event *freeevents; - struct event *nextevent; - struct event *newevent; - struct splaynode *splayroot; - struct otri bottommost; - struct otri searchtri; - struct otri fliptri; - struct otri lefttri, righttri, farlefttri, farrighttri; - struct otri inserttri; - vertex firstvertex, secondvertex; - vertex nextvertex, lastvertex; - vertex connectvertex; - vertex leftvertex, midvertex, rightvertex; - REAL lefttest, righttest; - int heapsize; - int check4events, farrightflag; - triangle ptr; /* Temporary variable used by sym(), onext(), and oprev(). */ - - poolinit(&m->splaynodes, sizeof(struct splaynode), SPLAYNODEPERBLOCK, - POINTER, 0); - splayroot = (struct splaynode *) NULL; - - if (b->verbose) { - fprintf(stderr, " Placing vertices in event heap.\n"); - } - createeventheap(m, &eventheap, &events, &freeevents); - heapsize = m->invertices; - - if (b->verbose) { - fprintf(stderr, " Forming triangulation.\n"); - } - maketriangle(m, b, &lefttri); - maketriangle(m, b, &righttri); - bond(lefttri, righttri); - lnextself(lefttri); - lprevself(righttri); - bond(lefttri, righttri); - lnextself(lefttri); - lprevself(righttri); - bond(lefttri, righttri); - firstvertex = (vertex) eventheap[0]->eventptr; - eventheap[0]->eventptr = (VOID *) freeevents; - freeevents = eventheap[0]; - eventheapdelete(eventheap, heapsize, 0); - heapsize--; - do { - if (heapsize == 0) { - fprintf(stderr, "Error: Input vertices are all identical.\n"); - exit(1); - } - secondvertex = (vertex) eventheap[0]->eventptr; - eventheap[0]->eventptr = (VOID *) freeevents; - freeevents = eventheap[0]; - eventheapdelete(eventheap, heapsize, 0); - heapsize--; - if ((firstvertex[0] == secondvertex[0]) && - (firstvertex[1] == secondvertex[1])) { - if (!b->quiet) { - fprintf(stderr, -"Warning: A duplicate vertex at (%.12g, %.12g) appeared and was ignored.\n", - secondvertex[0], secondvertex[1]); - } - setvertextype(secondvertex, UNDEADVERTEX); - m->undeads++; - } - } while ((firstvertex[0] == secondvertex[0]) && - (firstvertex[1] == secondvertex[1])); - setorg(lefttri, firstvertex); - setdest(lefttri, secondvertex); - setorg(righttri, secondvertex); - setdest(righttri, firstvertex); - lprev(lefttri, bottommost); - lastvertex = secondvertex; - while (heapsize > 0) { - nextevent = eventheap[0]; - eventheapdelete(eventheap, heapsize, 0); - heapsize--; - check4events = 1; - if (nextevent->xkey < m->xmin) { - decode(nextevent->eventptr, fliptri); - oprev(fliptri, farlefttri); - check4deadevent(&farlefttri, &freeevents, eventheap, &heapsize); - onext(fliptri, farrighttri); - check4deadevent(&farrighttri, &freeevents, eventheap, &heapsize); - - if (otriequal(farlefttri, bottommost)) { - lprev(fliptri, bottommost); - } - flip(m, b, &fliptri); - setapex(fliptri, NULL); - lprev(fliptri, lefttri); - lnext(fliptri, righttri); - sym(lefttri, farlefttri); - - if (randomnation(SAMPLERATE) == 0) { - symself(fliptri); - dest(fliptri, leftvertex); - apex(fliptri, midvertex); - org(fliptri, rightvertex); - splayroot = circletopinsert(m, b, splayroot, &lefttri, leftvertex, - midvertex, rightvertex, nextevent->ykey); - } - } else { - nextvertex = (vertex) nextevent->eventptr; - if ((nextvertex[0] == lastvertex[0]) && - (nextvertex[1] == lastvertex[1])) { - if (!b->quiet) { - fprintf(stderr, -"Warning: A duplicate vertex at (%.12g, %.12g) appeared and was ignored.\n", - nextvertex[0], nextvertex[1]); - } - setvertextype(nextvertex, UNDEADVERTEX); - m->undeads++; - check4events = 0; - } else { - lastvertex = nextvertex; - - splayroot = frontlocate(m, splayroot, &bottommost, nextvertex, - &searchtri, &farrightflag); -/* - otricopy(bottommost, searchtri); - farrightflag = 0; - while (!farrightflag && rightofhyperbola(m, &searchtri, nextvertex)) { - onextself(searchtri); - farrightflag = otriequal(searchtri, bottommost); - } -*/ - - check4deadevent(&searchtri, &freeevents, eventheap, &heapsize); - - otricopy(searchtri, farrighttri); - sym(searchtri, farlefttri); - maketriangle(m, b, &lefttri); - maketriangle(m, b, &righttri); - dest(farrighttri, connectvertex); - setorg(lefttri, connectvertex); - setdest(lefttri, nextvertex); - setorg(righttri, nextvertex); - setdest(righttri, connectvertex); - bond(lefttri, righttri); - lnextself(lefttri); - lprevself(righttri); - bond(lefttri, righttri); - lnextself(lefttri); - lprevself(righttri); - bond(lefttri, farlefttri); - bond(righttri, farrighttri); - if (!farrightflag && otriequal(farrighttri, bottommost)) { - otricopy(lefttri, bottommost); - } - - if (randomnation(SAMPLERATE) == 0) { - splayroot = splayinsert(m, splayroot, &lefttri, nextvertex); - } else if (randomnation(SAMPLERATE) == 0) { - lnext(righttri, inserttri); - splayroot = splayinsert(m, splayroot, &inserttri, nextvertex); - } - } - } - nextevent->eventptr = (VOID *) freeevents; - freeevents = nextevent; - - if (check4events) { - apex(farlefttri, leftvertex); - dest(lefttri, midvertex); - apex(lefttri, rightvertex); - lefttest = counterclockwise(m, b, leftvertex, midvertex, rightvertex); - if (lefttest > 0.0) { - newevent = freeevents; - freeevents = (struct event *) freeevents->eventptr; - newevent->xkey = m->xminextreme; - newevent->ykey = circletop(m, leftvertex, midvertex, rightvertex, - lefttest); - newevent->eventptr = (VOID *) encode(lefttri); - eventheapinsert(eventheap, heapsize, newevent); - heapsize++; - setorg(lefttri, newevent); - } - apex(righttri, leftvertex); - org(righttri, midvertex); - apex(farrighttri, rightvertex); - righttest = counterclockwise(m, b, leftvertex, midvertex, rightvertex); - if (righttest > 0.0) { - newevent = freeevents; - freeevents = (struct event *) freeevents->eventptr; - newevent->xkey = m->xminextreme; - newevent->ykey = circletop(m, leftvertex, midvertex, rightvertex, - righttest); - newevent->eventptr = (VOID *) encode(farrighttri); - eventheapinsert(eventheap, heapsize, newevent); - heapsize++; - setorg(farrighttri, newevent); - } - } - } - - pooldeinit(&m->splaynodes); - lprevself(bottommost); - return removeghosts(m, b, &bottommost); -} - -#endif /* not REDUCED */ - -/** **/ -/** **/ -/********* Sweepline Delaunay triangulation ends here *********/ - -/********* General mesh construction routines begin here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* delaunay() Form a Delaunay triangulation. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -long delaunay(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -long delaunay(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - long hulledges; - - m->eextras = 0; - initializetrisubpools(m, b); - -#ifdef REDUCED - if (!b->quiet) { - fprintf(stderr, - "Constructing Delaunay triangulation by divide-and-conquer method.\n"); - } - hulledges = divconqdelaunay(m, b); -#else /* not REDUCED */ - if (!b->quiet) { - fprintf(stderr, "Constructing Delaunay triangulation "); - if (b->incremental) { - fprintf(stderr, "by incremental method.\n"); - } else if (b->sweepline) { - fprintf(stderr, "by sweepline method.\n"); - } else { - fprintf(stderr, "by divide-and-conquer method.\n"); - } - } - if (b->incremental) { - hulledges = incrementaldelaunay(m, b); - } else if (b->sweepline) { - hulledges = sweeplinedelaunay(m, b); - } else { - hulledges = divconqdelaunay(m, b); - } -#endif /* not REDUCED */ - - if (m->triangles.items == 0) { - /* The input vertices were all collinear, so there are no triangles. */ - return 0l; - } else { - return hulledges; - } -} - -/*****************************************************************************/ -/* */ -/* reconstruct() Reconstruct a triangulation from its .ele (and possibly */ -/* .poly) file. Used when the -r switch is used. */ -/* */ -/* Reads an .ele file and reconstructs the original mesh. If the -p switch */ -/* is used, this procedure will also read a .poly file and reconstruct the */ -/* subsegments of the original mesh. If the -a switch is used, this */ -/* procedure will also read an .area file and set a maximum area constraint */ -/* on each triangle. */ -/* */ -/* Vertices that are not corners of triangles, such as nodes on edges of */ -/* subparametric elements, are discarded. */ -/* */ -/* This routine finds the adjacencies between triangles (and subsegments) */ -/* by forming one stack of triangles for each vertex. Each triangle is on */ -/* three different stacks simultaneously. Each triangle's subsegment */ -/* pointers are used to link the items in each stack. This memory-saving */ -/* feature makes the code harder to read. The most important thing to keep */ -/* in mind is that each triangle is removed from a stack precisely when */ -/* the corresponding pointer is adjusted to refer to a subsegment rather */ -/* than the next triangle of the stack. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef TRILIBRARY - -#ifdef ANSI_DECLARATORS -int reconstruct(struct mesh *m, struct behavior *b, int *trianglelist, - REAL *triangleattriblist, REAL *trianglearealist, - int elements, int corners, int attribs, - int *segmentlist,int *segmentmarkerlist, int numberofsegments) -#else /* not ANSI_DECLARATORS */ -int reconstruct(m, b, trianglelist, triangleattriblist, trianglearealist, - elements, corners, attribs, segmentlist, segmentmarkerlist, - numberofsegments) -struct mesh *m; -struct behavior *b; -int *trianglelist; -REAL *triangleattriblist; -REAL *trianglearealist; -int elements; -int corners; -int attribs; -int *segmentlist; -int *segmentmarkerlist; -int numberofsegments; -#endif /* not ANSI_DECLARATORS */ - -#else /* not TRILIBRARY */ - -#ifdef ANSI_DECLARATORS -long reconstruct(struct mesh *m, struct behavior *b, char *elefilename, - char *areafilename, char *polyfilename, FILE *polyfile) -#else /* not ANSI_DECLARATORS */ -long reconstruct(m, b, elefilename, areafilename, polyfilename, polyfile) -struct mesh *m; -struct behavior *b; -char *elefilename; -char *areafilename; -char *polyfilename; -FILE *polyfile; -#endif /* not ANSI_DECLARATORS */ - -#endif /* not TRILIBRARY */ - -{ -#ifdef TRILIBRARY - int vertexindex; - int attribindex; -#else /* not TRILIBRARY */ - FILE *elefile; - FILE *areafile; - char inputline[INPUTLINESIZE]; - char *stringptr; - int areaelements; -#endif /* not TRILIBRARY */ - struct otri triangleloop; - struct otri triangleleft; - struct otri checktri; - struct otri checkleft; - struct otri checkneighbor; - struct osub subsegloop; - triangle *vertexarray; - triangle *prevlink; - triangle nexttri; - vertex tdest, tapex; - vertex checkdest, checkapex; - vertex shorg; - vertex killvertex; - REAL area; - int corner[3]; - int end[2]; - int killvertexindex; - int incorners; - int segmentmarkers; - int boundmarker; - int aroundvertex; - long hullsize; - int notfound; - long elementnumber, segmentnumber; - int i, j; - triangle ptr; /* Temporary variable used by sym(). */ - -#ifdef TRILIBRARY - m->inelements = elements; - incorners = corners; - if (incorners < 3) { - fprintf(stderr, "Error: Triangles must have at least 3 vertices.\n"); - exit(1); - } - m->eextras = attribs; -#else /* not TRILIBRARY */ - /* Read the triangles from an .ele file. */ - if (!b->quiet) { - fprintf(stderr, "Opening %s.\n", elefilename); - } - elefile = fopen(elefilename, "r"); - if (elefile == (FILE *) NULL) { - fprintf(stderr, " Error: Cannot access file %s.\n", elefilename); - exit(1); - } - /* Read number of triangles, number of vertices per triangle, and */ - /* number of triangle attributes from .ele file. */ - stringptr = readline(inputline, elefile, elefilename); - m->inelements = (int) strtol(stringptr, &stringptr, 0); - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - incorners = 3; - } else { - incorners = (int) strtol(stringptr, &stringptr, 0); - if (incorners < 3) { - fprintf(stderr, "Error: Triangles in %s must have at least 3 vertices.\n", - elefilename); - exit(1); - } - } - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - m->eextras = 0; - } else { - m->eextras = (int) strtol(stringptr, &stringptr, 0); - } -#endif /* not TRILIBRARY */ - - initializetrisubpools(m, b); - - /* Create the triangles. */ - for (elementnumber = 1; elementnumber <= m->inelements; elementnumber++) { - maketriangle(m, b, &triangleloop); - /* Mark the triangle as living. */ - triangleloop.tri[3] = (triangle) triangleloop.tri; - } - - if (b->poly) { -#ifdef TRILIBRARY - m->insegments = numberofsegments; - segmentmarkers = segmentmarkerlist != (int *) NULL; -#else /* not TRILIBRARY */ - /* Read number of segments and number of segment */ - /* boundary markers from .poly file. */ - stringptr = readline(inputline, polyfile, b->inpolyfilename); - m->insegments = (int) strtol(stringptr, &stringptr, 0); - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - segmentmarkers = 0; - } else { - segmentmarkers = (int) strtol(stringptr, &stringptr, 0); - } -#endif /* not TRILIBRARY */ - - /* Create the subsegments. */ - for (segmentnumber = 1; segmentnumber <= m->insegments; segmentnumber++) { - makesubseg(m, &subsegloop); - /* Mark the subsegment as living. */ - subsegloop.ss[2] = (subseg) subsegloop.ss; - } - } - -#ifdef TRILIBRARY - vertexindex = 0; - attribindex = 0; -#else /* not TRILIBRARY */ - if (b->vararea) { - /* Open an .area file, check for consistency with the .ele file. */ - if (!b->quiet) { - fprintf(stderr, "Opening %s.\n", areafilename); - } - areafile = fopen(areafilename, "r"); - if (areafile == (FILE *) NULL) { - fprintf(stderr, " Error: Cannot access file %s.\n", areafilename); - exit(1); - } - stringptr = readline(inputline, areafile, areafilename); - areaelements = (int) strtol(stringptr, &stringptr, 0); - if (areaelements != m->inelements) { - fprintf(stderr, "Error: %s and %s disagree on number of triangles.\n", - elefilename, areafilename); - exit(1); - } - } -#endif /* not TRILIBRARY */ - - if (!b->quiet) { - fprintf(stderr, "Reconstructing mesh.\n"); - } - /* Allocate a temporary array that maps each vertex to some adjacent */ - /* triangle. I took care to allocate all the permanent memory for */ - /* triangles and subsegments first. */ - vertexarray = (triangle *) trimalloc(m->vertices.items * sizeof(triangle)); - /* Each vertex is initially unrepresented. */ - for (i = 0; i < m->vertices.items; i++) { - vertexarray[i] = (triangle) m->dummytri; - } - - if (b->verbose) { - fprintf(stderr, " Assembling triangles.\n"); - } - /* Read the triangles from the .ele file, and link */ - /* together those that share an edge. */ - traversalinit(&m->triangles); - triangleloop.tri = triangletraverse(m); - elementnumber = b->firstnumber; - while (triangleloop.tri != (triangle *) NULL) { -#ifdef TRILIBRARY - /* Copy the triangle's three corners. */ - for (j = 0; j < 3; j++) { - corner[j] = trianglelist[vertexindex++]; - if ((corner[j] < b->firstnumber) || - (corner[j] >= b->firstnumber + m->invertices)) { - fprintf(stderr, "Error: Triangle %ld has an invalid vertex index.\n", - elementnumber); - exit(1); - } - } -#else /* not TRILIBRARY */ - /* Read triangle number and the triangle's three corners. */ - stringptr = readline(inputline, elefile, elefilename); - for (j = 0; j < 3; j++) { - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - fprintf(stderr, "Error: Triangle %ld is missing vertex %d in %s.\n", - elementnumber, j + 1, elefilename); - exit(1); - } else { - corner[j] = (int) strtol(stringptr, &stringptr, 0); - if ((corner[j] < b->firstnumber) || - (corner[j] >= b->firstnumber + m->invertices)) { - fprintf(stderr, "Error: Triangle %ld has an invalid vertex index.\n", - elementnumber); - exit(1); - } - } - } -#endif /* not TRILIBRARY */ - - /* Find out about (and throw away) extra nodes. */ - for (j = 3; j < incorners; j++) { -#ifdef TRILIBRARY - killvertexindex = trianglelist[vertexindex++]; -#else /* not TRILIBRARY */ - stringptr = findfield(stringptr); - if (*stringptr != '\0') { - killvertexindex = (int) strtol(stringptr, &stringptr, 0); -#endif /* not TRILIBRARY */ - if ((killvertexindex >= b->firstnumber) && - (killvertexindex < b->firstnumber + m->invertices)) { - /* Delete the non-corner vertex if it's not already deleted. */ - killvertex = getvertex(m, b, killvertexindex); - if (vertextype(killvertex) != DEADVERTEX) { - vertexdealloc(m, killvertex); - } - } -#ifndef TRILIBRARY - } -#endif /* not TRILIBRARY */ - } - - /* Read the triangle's attributes. */ - for (j = 0; j < m->eextras; j++) { -#ifdef TRILIBRARY - setelemattribute(triangleloop, j, triangleattriblist[attribindex++]); -#else /* not TRILIBRARY */ - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - setelemattribute(triangleloop, j, 0); - } else { - setelemattribute(triangleloop, j, - (REAL) strtod(stringptr, &stringptr)); - } -#endif /* not TRILIBRARY */ - } - - if (b->vararea) { -#ifdef TRILIBRARY - area = trianglearealist[elementnumber - b->firstnumber]; -#else /* not TRILIBRARY */ - /* Read an area constraint from the .area file. */ - stringptr = readline(inputline, areafile, areafilename); - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - area = -1.0; /* No constraint on this triangle. */ - } else { - area = (REAL) strtod(stringptr, &stringptr); - } -#endif /* not TRILIBRARY */ - setareabound(triangleloop, area); - } - - /* Set the triangle's vertices. */ - triangleloop.orient = 0; - setorg(triangleloop, getvertex(m, b, corner[0])); - setdest(triangleloop, getvertex(m, b, corner[1])); - setapex(triangleloop, getvertex(m, b, corner[2])); - /* Try linking the triangle to others that share these vertices. */ - for (triangleloop.orient = 0; triangleloop.orient < 3; - triangleloop.orient++) { - /* Take the number for the origin of triangleloop. */ - aroundvertex = corner[triangleloop.orient]; - /* Look for other triangles having this vertex. */ - nexttri = vertexarray[aroundvertex - b->firstnumber]; - /* Link the current triangle to the next one in the stack. */ - triangleloop.tri[6 + triangleloop.orient] = nexttri; - /* Push the current triangle onto the stack. */ - vertexarray[aroundvertex - b->firstnumber] = encode(triangleloop); - decode(nexttri, checktri); - if (checktri.tri != m->dummytri) { - dest(triangleloop, tdest); - apex(triangleloop, tapex); - /* Look for other triangles that share an edge. */ - do { - dest(checktri, checkdest); - apex(checktri, checkapex); - if (tapex == checkdest) { - /* The two triangles share an edge; bond them together. */ - lprev(triangleloop, triangleleft); - bond(triangleleft, checktri); - } - if (tdest == checkapex) { - /* The two triangles share an edge; bond them together. */ - lprev(checktri, checkleft); - bond(triangleloop, checkleft); - } - /* Find the next triangle in the stack. */ - nexttri = checktri.tri[6 + checktri.orient]; - decode(nexttri, checktri); - } while (checktri.tri != m->dummytri); - } - } - triangleloop.tri = triangletraverse(m); - elementnumber++; - } - -#ifdef TRILIBRARY - vertexindex = 0; -#else /* not TRILIBRARY */ - fclose(elefile); - if (b->vararea) { - fclose(areafile); - } -#endif /* not TRILIBRARY */ - - hullsize = 0; /* Prepare to count the boundary edges. */ - if (b->poly) { - if (b->verbose) { - fprintf(stderr, " Marking segments in triangulation.\n"); - } - /* Read the segments from the .poly file, and link them */ - /* to their neighboring triangles. */ - boundmarker = 0; - traversalinit(&m->subsegs); - subsegloop.ss = subsegtraverse(m); - segmentnumber = b->firstnumber; - while (subsegloop.ss != (subseg *) NULL) { -#ifdef TRILIBRARY - end[0] = segmentlist[vertexindex++]; - end[1] = segmentlist[vertexindex++]; - if (segmentmarkers) { - boundmarker = segmentmarkerlist[segmentnumber - b->firstnumber]; - } -#else /* not TRILIBRARY */ - /* Read the endpoints of each segment, and possibly a boundary marker. */ - stringptr = readline(inputline, polyfile, b->inpolyfilename); - /* Skip the first (segment number) field. */ - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - fprintf(stderr, "Error: Segment %ld has no endpoints in %s.\n", segmentnumber, - polyfilename); - exit(1); - } else { - end[0] = (int) strtol(stringptr, &stringptr, 0); - } - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - fprintf(stderr, "Error: Segment %ld is missing its second endpoint in %s.\n", - segmentnumber, polyfilename); - exit(1); - } else { - end[1] = (int) strtol(stringptr, &stringptr, 0); - } - if (segmentmarkers) { - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - boundmarker = 0; - } else { - boundmarker = (int) strtol(stringptr, &stringptr, 0); - } - } -#endif /* not TRILIBRARY */ - for (j = 0; j < 2; j++) { - if ((end[j] < b->firstnumber) || - (end[j] >= b->firstnumber + m->invertices)) { - fprintf(stderr, "Error: Segment %ld has an invalid vertex index.\n", - segmentnumber); - exit(1); - } - } - - /* set the subsegment's vertices. */ - subsegloop.ssorient = 0; - setsorg(subsegloop, getvertex(m, b, end[0])); - setsdest(subsegloop, getvertex(m, b, end[1])); - setmark(subsegloop, boundmarker); - /* Try linking the subsegment to triangles that share these vertices. */ - for (subsegloop.ssorient = 0; subsegloop.ssorient < 2; - subsegloop.ssorient++) { - /* Take the number for the destination of subsegloop. */ - aroundvertex = end[1 - subsegloop.ssorient]; - /* Look for triangles having this vertex. */ - prevlink = &vertexarray[aroundvertex - b->firstnumber]; - nexttri = vertexarray[aroundvertex - b->firstnumber]; - decode(nexttri, checktri); - sorg(subsegloop, shorg); - notfound = 1; - /* Look for triangles having this edge. Note that I'm only */ - /* comparing each triangle's destination with the subsegment; */ - /* each triangle's apex is handled through a different vertex. */ - /* Because each triangle appears on three vertices' lists, each */ - /* occurrence of a triangle on a list can (and does) represent */ - /* an edge. In this way, most edges are represented twice, and */ - /* every triangle-subsegment bond is represented once. */ - while (notfound && (checktri.tri != m->dummytri)) { - dest(checktri, checkdest); - if (shorg == checkdest) { - /* We have a match. Remove this triangle from the list. */ - *prevlink = checktri.tri[6 + checktri.orient]; - /* Bond the subsegment to the triangle. */ - tsbond(checktri, subsegloop); - /* Check if this is a boundary edge. */ - sym(checktri, checkneighbor); - if (checkneighbor.tri == m->dummytri) { - /* The next line doesn't insert a subsegment (because there's */ - /* already one there), but it sets the boundary markers of */ - /* the existing subsegment and its vertices. */ - insertsubseg(m, b, &checktri, 1); - hullsize++; - } - notfound = 0; - } - /* Find the next triangle in the stack. */ - prevlink = &checktri.tri[6 + checktri.orient]; - nexttri = checktri.tri[6 + checktri.orient]; - decode(nexttri, checktri); - } - } - subsegloop.ss = subsegtraverse(m); - segmentnumber++; - } - } - - /* Mark the remaining edges as not being attached to any subsegment. */ - /* Also, count the (yet uncounted) boundary edges. */ - for (i = 0; i < m->vertices.items; i++) { - /* Search the stack of triangles adjacent to a vertex. */ - nexttri = vertexarray[i]; - decode(nexttri, checktri); - while (checktri.tri != m->dummytri) { - /* Find the next triangle in the stack before this */ - /* information gets overwritten. */ - nexttri = checktri.tri[6 + checktri.orient]; - /* No adjacent subsegment. (This overwrites the stack info.) */ - tsdissolve(checktri); - sym(checktri, checkneighbor); - if (checkneighbor.tri == m->dummytri) { - insertsubseg(m, b, &checktri, 1); - hullsize++; - } - decode(nexttri, checktri); - } - } - - trifree((VOID *) vertexarray); - return hullsize; -} - -#endif /* not CDT_ONLY */ - -/** **/ -/** **/ -/********* General mesh construction routines end here *********/ - -/********* Segment insertion begins here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* finddirection() Find the first triangle on the path from one point */ -/* to another. */ -/* */ -/* Finds the triangle that intersects a line segment drawn from the */ -/* origin of `searchtri' to the point `searchpoint', and returns the result */ -/* in `searchtri'. The origin of `searchtri' does not change, even though */ -/* the triangle returned may differ from the one passed in. This routine */ -/* is used to find the direction to move in to get from one point to */ -/* another. */ -/* */ -/* The return value notes whether the destination or apex of the found */ -/* triangle is collinear with the two points in question. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -enum finddirectionresult finddirection(struct mesh *m, struct behavior *b, - struct otri *searchtri, - vertex searchpoint) -#else /* not ANSI_DECLARATORS */ -enum finddirectionresult finddirection(m, b, searchtri, searchpoint) -struct mesh *m; -struct behavior *b; -struct otri *searchtri; -vertex searchpoint; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri checktri; - vertex startvertex; - vertex leftvertex, rightvertex; - REAL leftccw, rightccw; - int leftflag, rightflag; - triangle ptr; /* Temporary variable used by onext() and oprev(). */ - - org(*searchtri, startvertex); - dest(*searchtri, rightvertex); - apex(*searchtri, leftvertex); - /* Is `searchpoint' to the left? */ - leftccw = counterclockwise(m, b, searchpoint, startvertex, leftvertex); - leftflag = leftccw > 0.0; - /* Is `searchpoint' to the right? */ - rightccw = counterclockwise(m, b, startvertex, searchpoint, rightvertex); - rightflag = rightccw > 0.0; - if (leftflag && rightflag) { - /* `searchtri' faces directly away from `searchpoint'. We could go left */ - /* or right. Ask whether it's a triangle or a boundary on the left. */ - onext(*searchtri, checktri); - if (checktri.tri == m->dummytri) { - leftflag = 0; - } else { - rightflag = 0; - } - } - while (leftflag) { - /* Turn left until satisfied. */ - onextself(*searchtri); - if (searchtri->tri == m->dummytri) { - fprintf(stderr, "Internal error in finddirection(): Unable to find a\n"); - fprintf(stderr, " triangle leading from (%.12g, %.12g) to", startvertex[0], - startvertex[1]); - fprintf(stderr, " (%.12g, %.12g).\n", searchpoint[0], searchpoint[1]); - internalerror(); - } - apex(*searchtri, leftvertex); - rightccw = leftccw; - leftccw = counterclockwise(m, b, searchpoint, startvertex, leftvertex); - leftflag = leftccw > 0.0; - } - while (rightflag) { - /* Turn right until satisfied. */ - oprevself(*searchtri); - if (searchtri->tri == m->dummytri) { - fprintf(stderr, "Internal error in finddirection(): Unable to find a\n"); - fprintf(stderr, " triangle leading from (%.12g, %.12g) to", startvertex[0], - startvertex[1]); - fprintf(stderr, " (%.12g, %.12g).\n", searchpoint[0], searchpoint[1]); - internalerror(); - } - dest(*searchtri, rightvertex); - leftccw = rightccw; - rightccw = counterclockwise(m, b, startvertex, searchpoint, rightvertex); - rightflag = rightccw > 0.0; - } - if (leftccw == 0.0) { - return LEFTCOLLINEAR; - } else if (rightccw == 0.0) { - return RIGHTCOLLINEAR; - } else { - return WITHIN; - } -} - -/*****************************************************************************/ -/* */ -/* segmentintersection() Find the intersection of an existing segment */ -/* and a segment that is being inserted. Insert */ -/* a vertex at the intersection, splitting an */ -/* existing subsegment. */ -/* */ -/* The segment being inserted connects the apex of splittri to endpoint2. */ -/* splitsubseg is the subsegment being split, and MUST adjoin splittri. */ -/* Hence, endpoints of the subsegment being split are the origin and */ -/* destination of splittri. */ -/* */ -/* On completion, splittri is a handle having the newly inserted */ -/* intersection point as its origin, and endpoint1 as its destination. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void segmentintersection(struct mesh *m, struct behavior *b, - struct otri *splittri, struct osub *splitsubseg, - vertex endpoint2) -#else /* not ANSI_DECLARATORS */ -void segmentintersection(m, b, splittri, splitsubseg, endpoint2) -struct mesh *m; -struct behavior *b; -struct otri *splittri; -struct osub *splitsubseg; -vertex endpoint2; -#endif /* not ANSI_DECLARATORS */ - -{ - vertex endpoint1; - vertex torg, tdest; - vertex leftvertex, rightvertex; - vertex newvertex; - enum insertvertexresult success; - enum finddirectionresult collinear; - REAL ex, ey; - REAL tx, ty; - REAL etx, ety; - REAL split, denom; - int i; - triangle ptr; /* Temporary variable used by onext(). */ - - /* Find the other three segment endpoints. */ - apex(*splittri, endpoint1); - org(*splittri, torg); - dest(*splittri, tdest); - /* Segment intersection formulae; see the Antonio reference. */ - tx = tdest[0] - torg[0]; - ty = tdest[1] - torg[1]; - ex = endpoint2[0] - endpoint1[0]; - ey = endpoint2[1] - endpoint1[1]; - etx = torg[0] - endpoint2[0]; - ety = torg[1] - endpoint2[1]; - denom = ty * ex - tx * ey; - if (denom == 0.0) { - fprintf(stderr, "Internal error in segmentintersection():"); - fprintf(stderr, " Attempt to find intersection of parallel segments.\n"); - internalerror(); - } - split = (ey * etx - ex * ety) / denom; - /* Create the new vertex. */ - newvertex = (vertex) poolalloc(&m->vertices); - /* Interpolate its coordinate and attributes. */ - for (i = 0; i < 2 + m->nextras; i++) { - newvertex[i] = torg[i] + split * (tdest[i] - torg[i]); - } - setvertexmark(newvertex, mark(*splitsubseg)); - setvertextype(newvertex, INPUTVERTEX); - if (b->verbose > 1) { - fprintf(stderr, - " Splitting subsegment (%.12g, %.12g) (%.12g, %.12g) at (%.12g, %.12g).\n", - torg[0], torg[1], tdest[0], tdest[1], newvertex[0], newvertex[1]); - } - /* Insert the intersection vertex. This should always succeed. */ - success = insertvertex(m, b, newvertex, splittri, splitsubseg, 0, 0, 0.0); - if (success != SUCCESSFULVERTEX) { - fprintf(stderr, "Internal error in segmentintersection():\n"); - fprintf(stderr, " Failure to split a segment.\n"); - internalerror(); - } - if (m->steinerleft > 0) { - m->steinerleft--; - } - /* Inserting the vertex may have caused edge flips. We wish to rediscover */ - /* the edge connecting endpoint1 to the new intersection vertex. */ - collinear = finddirection(m, b, splittri, endpoint1); - dest(*splittri, rightvertex); - apex(*splittri, leftvertex); - if ((leftvertex[0] == endpoint1[0]) && (leftvertex[1] == endpoint1[1])) { - onextself(*splittri); - } else if ((rightvertex[0] != endpoint1[0]) || - (rightvertex[1] != endpoint1[1])) { - fprintf(stderr, "Internal error in segmentintersection():\n"); - fprintf(stderr, " Topological inconsistency after splitting a segment.\n"); - internalerror(); - } - /* `splittri' should have destination endpoint1. */ -} - -/*****************************************************************************/ -/* */ -/* scoutsegment() Scout the first triangle on the path from one endpoint */ -/* to another, and check for completion (reaching the */ -/* second endpoint), a collinear vertex, or the */ -/* intersection of two segments. */ -/* */ -/* Returns one if the entire segment is successfully inserted, and zero if */ -/* the job must be finished by conformingedge() or constrainededge(). */ -/* */ -/* If the first triangle on the path has the second endpoint as its */ -/* destination or apex, a subsegment is inserted and the job is done. */ -/* */ -/* If the first triangle on the path has a destination or apex that lies on */ -/* the segment, a subsegment is inserted connecting the first endpoint to */ -/* the collinear vertex, and the search is continued from the collinear */ -/* vertex. */ -/* */ -/* If the first triangle on the path has a subsegment opposite its origin, */ -/* then there is a segment that intersects the segment being inserted. */ -/* Their intersection vertex is inserted, splitting the subsegment. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -int scoutsegment(struct mesh *m, struct behavior *b, struct otri *searchtri, - vertex endpoint2, int newmark) -#else /* not ANSI_DECLARATORS */ -int scoutsegment(m, b, searchtri, endpoint2, newmark) -struct mesh *m; -struct behavior *b; -struct otri *searchtri; -vertex endpoint2; -int newmark; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri crosstri; - struct osub crosssubseg; - vertex leftvertex, rightvertex; - enum finddirectionresult collinear; - subseg sptr; /* Temporary variable used by tspivot(). */ - - collinear = finddirection(m, b, searchtri, endpoint2); - dest(*searchtri, rightvertex); - apex(*searchtri, leftvertex); - if (((leftvertex[0] == endpoint2[0]) && (leftvertex[1] == endpoint2[1])) || - ((rightvertex[0] == endpoint2[0]) && (rightvertex[1] == endpoint2[1]))) { - /* The segment is already an edge in the mesh. */ - if ((leftvertex[0] == endpoint2[0]) && (leftvertex[1] == endpoint2[1])) { - lprevself(*searchtri); - } - /* Insert a subsegment, if there isn't already one there. */ - insertsubseg(m, b, searchtri, newmark); - return 1; - } else if (collinear == LEFTCOLLINEAR) { - /* We've collided with a vertex between the segment's endpoints. */ - /* Make the collinear vertex be the triangle's origin. */ - lprevself(*searchtri); - insertsubseg(m, b, searchtri, newmark); - /* Insert the remainder of the segment. */ - return scoutsegment(m, b, searchtri, endpoint2, newmark); - } else if (collinear == RIGHTCOLLINEAR) { - /* We've collided with a vertex between the segment's endpoints. */ - insertsubseg(m, b, searchtri, newmark); - /* Make the collinear vertex be the triangle's origin. */ - lnextself(*searchtri); - /* Insert the remainder of the segment. */ - return scoutsegment(m, b, searchtri, endpoint2, newmark); - } else { - lnext(*searchtri, crosstri); - tspivot(crosstri, crosssubseg); - /* Check for a crossing segment. */ - if (crosssubseg.ss == m->dummysub) { - return 0; - } else { - /* Insert a vertex at the intersection. */ - segmentintersection(m, b, &crosstri, &crosssubseg, endpoint2); - otricopy(crosstri, *searchtri); - insertsubseg(m, b, searchtri, newmark); - /* Insert the remainder of the segment. */ - return scoutsegment(m, b, searchtri, endpoint2, newmark); - } - } -} - -/*****************************************************************************/ -/* */ -/* conformingedge() Force a segment into a conforming Delaunay */ -/* triangulation by inserting a vertex at its midpoint, */ -/* and recursively forcing in the two half-segments if */ -/* necessary. */ -/* */ -/* Generates a sequence of subsegments connecting `endpoint1' to */ -/* `endpoint2'. `newmark' is the boundary marker of the segment, assigned */ -/* to each new splitting vertex and subsegment. */ -/* */ -/* Note that conformingedge() does not always maintain the conforming */ -/* Delaunay property. Once inserted, segments are locked into place; */ -/* vertices inserted later (to force other segments in) may render these */ -/* fixed segments non-Delaunay. The conforming Delaunay property will be */ -/* restored by enforcequality() by splitting encroached subsegments. */ -/* */ -/*****************************************************************************/ - -#ifndef REDUCED -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -void conformingedge(struct mesh *m, struct behavior *b, - vertex endpoint1, vertex endpoint2, int newmark) -#else /* not ANSI_DECLARATORS */ -void conformingedge(m, b, endpoint1, endpoint2, newmark) -struct mesh *m; -struct behavior *b; -vertex endpoint1; -vertex endpoint2; -int newmark; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri searchtri1, searchtri2; - struct osub brokensubseg; - vertex newvertex; - vertex midvertex1, midvertex2; - enum insertvertexresult success; - int i; - subseg sptr; /* Temporary variable used by tspivot(). */ - - if (b->verbose > 2) { - fprintf(stderr, "Forcing segment into triangulation by recursive splitting:\n"); - fprintf(stderr, " (%.12g, %.12g) (%.12g, %.12g)\n", endpoint1[0], endpoint1[1], - endpoint2[0], endpoint2[1]); - } - /* Create a new vertex to insert in the middle of the segment. */ - newvertex = (vertex) poolalloc(&m->vertices); - /* Interpolate coordinates and attributes. */ - for (i = 0; i < 2 + m->nextras; i++) { - newvertex[i] = 0.5 * (endpoint1[i] + endpoint2[i]); - } - setvertexmark(newvertex, newmark); - setvertextype(newvertex, SEGMENTVERTEX); - /* No known triangle to search from. */ - searchtri1.tri = m->dummytri; - /* Attempt to insert the new vertex. */ - success = insertvertex(m, b, newvertex, &searchtri1, (struct osub *) NULL, - 0, 0, 0.0); - if (success == DUPLICATEVERTEX) { - if (b->verbose > 2) { - fprintf(stderr, " Segment intersects existing vertex (%.12g, %.12g).\n", - newvertex[0], newvertex[1]); - } - /* Use the vertex that's already there. */ - vertexdealloc(m, newvertex); - org(searchtri1, newvertex); - } else { - if (success == VIOLATINGVERTEX) { - if (b->verbose > 2) { - fprintf(stderr, " Two segments intersect at (%.12g, %.12g).\n", - newvertex[0], newvertex[1]); - } - /* By fluke, we've landed right on another segment. Split it. */ - tspivot(searchtri1, brokensubseg); - success = insertvertex(m, b, newvertex, &searchtri1, &brokensubseg, - 0, 0, 0.0); - if (success != SUCCESSFULVERTEX) { - fprintf(stderr, "Internal error in conformingedge():\n"); - fprintf(stderr, " Failure to split a segment.\n"); - internalerror(); - } - } - /* The vertex has been inserted successfully. */ - if (m->steinerleft > 0) { - m->steinerleft--; - } - } - otricopy(searchtri1, searchtri2); - /* `searchtri1' and `searchtri2' are fastened at their origins to */ - /* `newvertex', and will be directed toward `endpoint1' and `endpoint2' */ - /* respectively. First, we must get `searchtri2' out of the way so it */ - /* won't be invalidated during the insertion of the first half of the */ - /* segment. */ - finddirection(m, b, &searchtri2, endpoint2); - if (!scoutsegment(m, b, &searchtri1, endpoint1, newmark)) { - /* The origin of searchtri1 may have changed if a collision with an */ - /* intervening vertex on the segment occurred. */ - org(searchtri1, midvertex1); - conformingedge(m, b, midvertex1, endpoint1, newmark); - } - if (!scoutsegment(m, b, &searchtri2, endpoint2, newmark)) { - /* The origin of searchtri2 may have changed if a collision with an */ - /* intervening vertex on the segment occurred. */ - org(searchtri2, midvertex2); - conformingedge(m, b, midvertex2, endpoint2, newmark); - } -} - -#endif /* not CDT_ONLY */ -#endif /* not REDUCED */ - -/*****************************************************************************/ -/* */ -/* delaunayfixup() Enforce the Delaunay condition at an edge, fanning out */ -/* recursively from an existing vertex. Pay special */ -/* attention to stacking inverted triangles. */ -/* */ -/* This is a support routine for inserting segments into a constrained */ -/* Delaunay triangulation. */ -/* */ -/* The origin of fixuptri is treated as if it has just been inserted, and */ -/* the local Delaunay condition needs to be enforced. It is only enforced */ -/* in one sector, however, that being the angular range defined by */ -/* fixuptri. */ -/* */ -/* This routine also needs to make decisions regarding the "stacking" of */ -/* triangles. (Read the description of constrainededge() below before */ -/* reading on here, so you understand the algorithm.) If the position of */ -/* the new vertex (the origin of fixuptri) indicates that the vertex before */ -/* it on the polygon is a reflex vertex, then "stack" the triangle by */ -/* doing nothing. (fixuptri is an inverted triangle, which is how stacked */ -/* triangles are identified.) */ -/* */ -/* Otherwise, check whether the vertex before that was a reflex vertex. */ -/* If so, perform an edge flip, thereby eliminating an inverted triangle */ -/* (popping it off the stack). The edge flip may result in the creation */ -/* of a new inverted triangle, depending on whether or not the new vertex */ -/* is visible to the vertex three edges behind on the polygon. */ -/* */ -/* If neither of the two vertices behind the new vertex are reflex */ -/* vertices, fixuptri and fartri, the triangle opposite it, are not */ -/* inverted; hence, ensure that the edge between them is locally Delaunay. */ -/* */ -/* `leftside' indicates whether or not fixuptri is to the left of the */ -/* segment being inserted. (Imagine that the segment is pointing up from */ -/* endpoint1 to endpoint2.) */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void delaunayfixup(struct mesh *m, struct behavior *b, - struct otri *fixuptri, int leftside) -#else /* not ANSI_DECLARATORS */ -void delaunayfixup(m, b, fixuptri, leftside) -struct mesh *m; -struct behavior *b; -struct otri *fixuptri; -int leftside; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri neartri; - struct otri fartri; - struct osub faredge; - vertex nearvertex, leftvertex, rightvertex, farvertex; - triangle ptr; /* Temporary variable used by sym(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - lnext(*fixuptri, neartri); - sym(neartri, fartri); - /* Check if the edge opposite the origin of fixuptri can be flipped. */ - if (fartri.tri == m->dummytri) { - return; - } - tspivot(neartri, faredge); - if (faredge.ss != m->dummysub) { - return; - } - /* Find all the relevant vertices. */ - apex(neartri, nearvertex); - org(neartri, leftvertex); - dest(neartri, rightvertex); - apex(fartri, farvertex); - /* Check whether the previous polygon vertex is a reflex vertex. */ - if (leftside) { - if (counterclockwise(m, b, nearvertex, leftvertex, farvertex) <= 0.0) { - /* leftvertex is a reflex vertex too. Nothing can */ - /* be done until a convex section is found. */ - return; - } - } else { - if (counterclockwise(m, b, farvertex, rightvertex, nearvertex) <= 0.0) { - /* rightvertex is a reflex vertex too. Nothing can */ - /* be done until a convex section is found. */ - return; - } - } - if (counterclockwise(m, b, rightvertex, leftvertex, farvertex) > 0.0) { - /* fartri is not an inverted triangle, and farvertex is not a reflex */ - /* vertex. As there are no reflex vertices, fixuptri isn't an */ - /* inverted triangle, either. Hence, test the edge between the */ - /* triangles to ensure it is locally Delaunay. */ - if (incircle(m, b, leftvertex, farvertex, rightvertex, nearvertex) <= - 0.0) { - return; - } - /* Not locally Delaunay; go on to an edge flip. */ - } /* else fartri is inverted; remove it from the stack by flipping. */ - flip(m, b, &neartri); - lprevself(*fixuptri); /* Restore the origin of fixuptri after the flip. */ - /* Recursively process the two triangles that result from the flip. */ - delaunayfixup(m, b, fixuptri, leftside); - delaunayfixup(m, b, &fartri, leftside); -} - -/*****************************************************************************/ -/* */ -/* constrainededge() Force a segment into a constrained Delaunay */ -/* triangulation by deleting the triangles it */ -/* intersects, and triangulating the polygons that */ -/* form on each side of it. */ -/* */ -/* Generates a single subsegment connecting `endpoint1' to `endpoint2'. */ -/* The triangle `starttri' has `endpoint1' as its origin. `newmark' is the */ -/* boundary marker of the segment. */ -/* */ -/* To insert a segment, every triangle whose interior intersects the */ -/* segment is deleted. The union of these deleted triangles is a polygon */ -/* (which is not necessarily monotone, but is close enough), which is */ -/* divided into two polygons by the new segment. This routine's task is */ -/* to generate the Delaunay triangulation of these two polygons. */ -/* */ -/* You might think of this routine's behavior as a two-step process. The */ -/* first step is to walk from endpoint1 to endpoint2, flipping each edge */ -/* encountered. This step creates a fan of edges connected to endpoint1, */ -/* including the desired edge to endpoint2. The second step enforces the */ -/* Delaunay condition on each side of the segment in an incremental manner: */ -/* proceeding along the polygon from endpoint1 to endpoint2 (this is done */ -/* independently on each side of the segment), each vertex is "enforced" */ -/* as if it had just been inserted, but affecting only the previous */ -/* vertices. The result is the same as if the vertices had been inserted */ -/* in the order they appear on the polygon, so the result is Delaunay. */ -/* */ -/* In truth, constrainededge() interleaves these two steps. The procedure */ -/* walks from endpoint1 to endpoint2, and each time an edge is encountered */ -/* and flipped, the newly exposed vertex (at the far end of the flipped */ -/* edge) is "enforced" upon the previously flipped edges, usually affecting */ -/* only one side of the polygon (depending upon which side of the segment */ -/* the vertex falls on). */ -/* */ -/* The algorithm is complicated by the need to handle polygons that are not */ -/* convex. Although the polygon is not necessarily monotone, it can be */ -/* triangulated in a manner similar to the stack-based algorithms for */ -/* monotone polygons. For each reflex vertex (local concavity) of the */ -/* polygon, there will be an inverted triangle formed by one of the edge */ -/* flips. (An inverted triangle is one with negative area - that is, its */ -/* vertices are arranged in clockwise order - and is best thought of as a */ -/* wrinkle in the fabric of the mesh.) Each inverted triangle can be */ -/* thought of as a reflex vertex pushed on the stack, waiting to be fixed */ -/* later. */ -/* */ -/* A reflex vertex is popped from the stack when a vertex is inserted that */ -/* is visible to the reflex vertex. (However, if the vertex behind the */ -/* reflex vertex is not visible to the reflex vertex, a new inverted */ -/* triangle will take its place on the stack.) These details are handled */ -/* by the delaunayfixup() routine above. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void constrainededge(struct mesh *m, struct behavior *b, - struct otri *starttri, vertex endpoint2, int newmark) -#else /* not ANSI_DECLARATORS */ -void constrainededge(m, b, starttri, endpoint2, newmark) -struct mesh *m; -struct behavior *b; -struct otri *starttri; -vertex endpoint2; -int newmark; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri fixuptri, fixuptri2; - struct osub crosssubseg; - vertex endpoint1; - vertex farvertex; - REAL area; - int collision; - int done; - triangle ptr; /* Temporary variable used by sym() and oprev(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - org(*starttri, endpoint1); - lnext(*starttri, fixuptri); - flip(m, b, &fixuptri); - /* `collision' indicates whether we have found a vertex directly */ - /* between endpoint1 and endpoint2. */ - collision = 0; - done = 0; - do { - org(fixuptri, farvertex); - /* `farvertex' is the extreme point of the polygon we are "digging" */ - /* to get from endpoint1 to endpoint2. */ - if ((farvertex[0] == endpoint2[0]) && (farvertex[1] == endpoint2[1])) { - oprev(fixuptri, fixuptri2); - /* Enforce the Delaunay condition around endpoint2. */ - delaunayfixup(m, b, &fixuptri, 0); - delaunayfixup(m, b, &fixuptri2, 1); - done = 1; - } else { - /* Check whether farvertex is to the left or right of the segment */ - /* being inserted, to decide which edge of fixuptri to dig */ - /* through next. */ - area = counterclockwise(m, b, endpoint1, endpoint2, farvertex); - if (area == 0.0) { - /* We've collided with a vertex between endpoint1 and endpoint2. */ - collision = 1; - oprev(fixuptri, fixuptri2); - /* Enforce the Delaunay condition around farvertex. */ - delaunayfixup(m, b, &fixuptri, 0); - delaunayfixup(m, b, &fixuptri2, 1); - done = 1; - } else { - if (area > 0.0) { /* farvertex is to the left of the segment. */ - oprev(fixuptri, fixuptri2); - /* Enforce the Delaunay condition around farvertex, on the */ - /* left side of the segment only. */ - delaunayfixup(m, b, &fixuptri2, 1); - /* Flip the edge that crosses the segment. After the edge is */ - /* flipped, one of its endpoints is the fan vertex, and the */ - /* destination of fixuptri is the fan vertex. */ - lprevself(fixuptri); - } else { /* farvertex is to the right of the segment. */ - delaunayfixup(m, b, &fixuptri, 0); - /* Flip the edge that crosses the segment. After the edge is */ - /* flipped, one of its endpoints is the fan vertex, and the */ - /* destination of fixuptri is the fan vertex. */ - oprevself(fixuptri); - } - /* Check for two intersecting segments. */ - tspivot(fixuptri, crosssubseg); - if (crosssubseg.ss == m->dummysub) { - flip(m, b, &fixuptri); /* May create inverted triangle at left. */ - } else { - /* We've collided with a segment between endpoint1 and endpoint2. */ - collision = 1; - /* Insert a vertex at the intersection. */ - segmentintersection(m, b, &fixuptri, &crosssubseg, endpoint2); - done = 1; - } - } - } - } while (!done); - /* Insert a subsegment to make the segment permanent. */ - insertsubseg(m, b, &fixuptri, newmark); - /* If there was a collision with an interceding vertex, install another */ - /* segment connecting that vertex with endpoint2. */ - if (collision) { - /* Insert the remainder of the segment. */ - if (!scoutsegment(m, b, &fixuptri, endpoint2, newmark)) { - constrainededge(m, b, &fixuptri, endpoint2, newmark); - } - } -} - -/*****************************************************************************/ -/* */ -/* insertsegment() Insert a PSLG segment into a triangulation. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void insertsegment(struct mesh *m, struct behavior *b, - vertex endpoint1, vertex endpoint2, int newmark) -#else /* not ANSI_DECLARATORS */ -void insertsegment(m, b, endpoint1, endpoint2, newmark) -struct mesh *m; -struct behavior *b; -vertex endpoint1; -vertex endpoint2; -int newmark; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri searchtri1, searchtri2; - triangle encodedtri; - vertex checkvertex; - triangle ptr; /* Temporary variable used by sym(). */ - - if (b->verbose > 1) { - fprintf(stderr, " Connecting (%.12g, %.12g) to (%.12g, %.12g).\n", - endpoint1[0], endpoint1[1], endpoint2[0], endpoint2[1]); - } - - /* Find a triangle whose origin is the segment's first endpoint. */ - checkvertex = (vertex) NULL; - encodedtri = vertex2tri(endpoint1); - if (encodedtri != (triangle) NULL) { - decode(encodedtri, searchtri1); - org(searchtri1, checkvertex); - } - if (checkvertex != endpoint1) { - /* Find a boundary triangle to search from. */ - searchtri1.tri = m->dummytri; - searchtri1.orient = 0; - symself(searchtri1); - /* Search for the segment's first endpoint by point location. */ - if (locate(m, b, endpoint1, &searchtri1) != ONVERTEX) { - fprintf(stderr, - "Internal error in insertsegment(): Unable to locate PSLG vertex\n"); - fprintf(stderr, " (%.12g, %.12g) in triangulation.\n", - endpoint1[0], endpoint1[1]); - internalerror(); - } - } - /* Remember this triangle to improve subsequent point location. */ - otricopy(searchtri1, m->recenttri); - /* Scout the beginnings of a path from the first endpoint */ - /* toward the second. */ - if (scoutsegment(m, b, &searchtri1, endpoint2, newmark)) { - /* The segment was easily inserted. */ - return; - } - /* The first endpoint may have changed if a collision with an intervening */ - /* vertex on the segment occurred. */ - org(searchtri1, endpoint1); - - /* Find a triangle whose origin is the segment's second endpoint. */ - checkvertex = (vertex) NULL; - encodedtri = vertex2tri(endpoint2); - if (encodedtri != (triangle) NULL) { - decode(encodedtri, searchtri2); - org(searchtri2, checkvertex); - } - if (checkvertex != endpoint2) { - /* Find a boundary triangle to search from. */ - searchtri2.tri = m->dummytri; - searchtri2.orient = 0; - symself(searchtri2); - /* Search for the segment's second endpoint by point location. */ - if (locate(m, b, endpoint2, &searchtri2) != ONVERTEX) { - fprintf(stderr, - "Internal error in insertsegment(): Unable to locate PSLG vertex\n"); - fprintf(stderr, " (%.12g, %.12g) in triangulation.\n", - endpoint2[0], endpoint2[1]); - internalerror(); - } - } - /* Remember this triangle to improve subsequent point location. */ - otricopy(searchtri2, m->recenttri); - /* Scout the beginnings of a path from the second endpoint */ - /* toward the first. */ - if (scoutsegment(m, b, &searchtri2, endpoint1, newmark)) { - /* The segment was easily inserted. */ - return; - } - /* The second endpoint may have changed if a collision with an intervening */ - /* vertex on the segment occurred. */ - org(searchtri2, endpoint2); - -#ifndef REDUCED -#ifndef CDT_ONLY - if (b->splitseg) { - /* Insert vertices to force the segment into the triangulation. */ - conformingedge(m, b, endpoint1, endpoint2, newmark); - } else { -#endif /* not CDT_ONLY */ -#endif /* not REDUCED */ - /* Insert the segment directly into the triangulation. */ - constrainededge(m, b, &searchtri1, endpoint2, newmark); -#ifndef REDUCED -#ifndef CDT_ONLY - } -#endif /* not CDT_ONLY */ -#endif /* not REDUCED */ -} - -/*****************************************************************************/ -/* */ -/* markhull() Cover the convex hull of a triangulation with subsegments. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void markhull(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void markhull(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri hulltri; - struct otri nexttri; - struct otri starttri; - triangle ptr; /* Temporary variable used by sym() and oprev(). */ - - /* Find a triangle handle on the hull. */ - hulltri.tri = m->dummytri; - hulltri.orient = 0; - symself(hulltri); - /* Remember where we started so we know when to stop. */ - otricopy(hulltri, starttri); - /* Go once counterclockwise around the convex hull. */ - do { - /* Create a subsegment if there isn't already one here. */ - insertsubseg(m, b, &hulltri, 1); - /* To find the next hull edge, go clockwise around the next vertex. */ - lnextself(hulltri); - oprev(hulltri, nexttri); - while (nexttri.tri != m->dummytri) { - otricopy(nexttri, hulltri); - oprev(hulltri, nexttri); - } - } while (!otriequal(hulltri, starttri)); -} - -/*****************************************************************************/ -/* */ -/* formskeleton() Create the segments of a triangulation, including PSLG */ -/* segments and edges on the convex hull. */ -/* */ -/* The PSLG segments are read from a .poly file. The return value is the */ -/* number of segments in the file. */ -/* */ -/*****************************************************************************/ - -#ifdef TRILIBRARY - -#ifdef ANSI_DECLARATORS -void formskeleton(struct mesh *m, struct behavior *b, int *segmentlist, - int *segmentmarkerlist, int numberofsegments) -#else /* not ANSI_DECLARATORS */ -void formskeleton(m, b, segmentlist, segmentmarkerlist, numberofsegments) -struct mesh *m; -struct behavior *b; -int *segmentlist; -int *segmentmarkerlist; -int numberofsegments; -#endif /* not ANSI_DECLARATORS */ - -#else /* not TRILIBRARY */ - -#ifdef ANSI_DECLARATORS -void formskeleton(struct mesh *m, struct behavior *b, - FILE *polyfile, char *polyfilename) -#else /* not ANSI_DECLARATORS */ -void formskeleton(m, b, polyfile, polyfilename) -struct mesh *m; -struct behavior *b; -FILE *polyfile; -char *polyfilename; -#endif /* not ANSI_DECLARATORS */ - -#endif /* not TRILIBRARY */ - -{ -#ifdef TRILIBRARY - char polyfilename[6]; - int index; -#else /* not TRILIBRARY */ - char inputline[INPUTLINESIZE]; - char *stringptr; -#endif /* not TRILIBRARY */ - vertex endpoint1, endpoint2; - int segmentmarkers; - int end1, end2; - int boundmarker; - int i; - - if (b->poly) { - if (!b->quiet) { - fprintf(stderr, "Recovering segments in Delaunay triangulation.\n"); - } -#ifdef TRILIBRARY - strcpy(polyfilename, "input"); - m->insegments = numberofsegments; - segmentmarkers = segmentmarkerlist != (int *) NULL; - index = 0; -#else /* not TRILIBRARY */ - /* Read the segments from a .poly file. */ - /* Read number of segments and number of boundary markers. */ - stringptr = readline(inputline, polyfile, polyfilename); - m->insegments = (int) strtol(stringptr, &stringptr, 0); - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - segmentmarkers = 0; - } else { - segmentmarkers = (int) strtol(stringptr, &stringptr, 0); - } -#endif /* not TRILIBRARY */ - /* If the input vertices are collinear, there is no triangulation, */ - /* so don't try to insert segments. */ - if (m->triangles.items == 0) { - return; - } - - /* If segments are to be inserted, compute a mapping */ - /* from vertices to triangles. */ - if (m->insegments > 0) { - makevertexmap(m, b); - if (b->verbose) { - fprintf(stderr, " Recovering PSLG segments.\n"); - } - } - - boundmarker = 0; - /* Read and insert the segments. */ - for (i = 0; i < m->insegments; i++) { -#ifdef TRILIBRARY - end1 = segmentlist[index++]; - end2 = segmentlist[index++]; - if (segmentmarkers) { - boundmarker = segmentmarkerlist[i]; - } -#else /* not TRILIBRARY */ - stringptr = readline(inputline, polyfile, b->inpolyfilename); - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - fprintf(stderr, "Error: Segment %d has no endpoints in %s.\n", - b->firstnumber + i, polyfilename); - exit(1); - } else { - end1 = (int) strtol(stringptr, &stringptr, 0); - } - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - fprintf(stderr, "Error: Segment %d is missing its second endpoint in %s.\n", - b->firstnumber + i, polyfilename); - exit(1); - } else { - end2 = (int) strtol(stringptr, &stringptr, 0); - } - if (segmentmarkers) { - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - boundmarker = 0; - } else { - boundmarker = (int) strtol(stringptr, &stringptr, 0); - } - } -#endif /* not TRILIBRARY */ - if ((end1 < b->firstnumber) || - (end1 >= b->firstnumber + m->invertices)) { - if (!b->quiet) { - fprintf(stderr, "Warning: Invalid first endpoint of segment %d in %s.\n", - b->firstnumber + i, polyfilename); - } - } else if ((end2 < b->firstnumber) || - (end2 >= b->firstnumber + m->invertices)) { - if (!b->quiet) { - fprintf(stderr, "Warning: Invalid second endpoint of segment %d in %s.\n", - b->firstnumber + i, polyfilename); - } - } else { - endpoint1 = getvertex(m, b, end1); - endpoint2 = getvertex(m, b, end2); - if ((endpoint1[0] == endpoint2[0]) && (endpoint1[1] == endpoint2[1])) { - if (!b->quiet) { - fprintf(stderr, "Warning: Endpoints of segment %d are coincident in %s.\n", - b->firstnumber + i, polyfilename); - } - } else { - insertsegment(m, b, endpoint1, endpoint2, boundmarker); - } - } - } - } else { - m->insegments = 0; - } - if (b->convex || !b->poly) { - /* Enclose the convex hull with subsegments. */ - if (b->verbose) { - fprintf(stderr, " Enclosing convex hull with segments.\n"); - } - markhull(m, b); - } -} - -/** **/ -/** **/ -/********* Segment insertion ends here *********/ - -/********* Carving out holes and concavities begins here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* infecthull() Virally infect all of the triangles of the convex hull */ -/* that are not protected by subsegments. Where there are */ -/* subsegments, set boundary markers as appropriate. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void infecthull(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void infecthull(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri hulltri; - struct otri nexttri; - struct otri starttri; - struct osub hullsubseg; - triangle **deadtriangle; - vertex horg, hdest; - triangle ptr; /* Temporary variable used by sym(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - if (b->verbose) { - fprintf(stderr, " Marking concavities (external triangles) for elimination.\n"); - } - /* Find a triangle handle on the hull. */ - hulltri.tri = m->dummytri; - hulltri.orient = 0; - symself(hulltri); - /* Remember where we started so we know when to stop. */ - otricopy(hulltri, starttri); - /* Go once counterclockwise around the convex hull. */ - do { - /* Ignore triangles that are already infected. */ - if (!infected(hulltri)) { - /* Is the triangle protected by a subsegment? */ - tspivot(hulltri, hullsubseg); - if (hullsubseg.ss == m->dummysub) { - /* The triangle is not protected; infect it. */ - if (!infected(hulltri)) { - infect(hulltri); - deadtriangle = (triangle **) poolalloc(&m->viri); - *deadtriangle = hulltri.tri; - } - } else { - /* The triangle is protected; set boundary markers if appropriate. */ - if (mark(hullsubseg) == 0) { - setmark(hullsubseg, 1); - org(hulltri, horg); - dest(hulltri, hdest); - if (vertexmark(horg) == 0) { - setvertexmark(horg, 1); - } - if (vertexmark(hdest) == 0) { - setvertexmark(hdest, 1); - } - } - } - } - /* To find the next hull edge, go clockwise around the next vertex. */ - lnextself(hulltri); - oprev(hulltri, nexttri); - while (nexttri.tri != m->dummytri) { - otricopy(nexttri, hulltri); - oprev(hulltri, nexttri); - } - } while (!otriequal(hulltri, starttri)); -} - -/*****************************************************************************/ -/* */ -/* plague() Spread the virus from all infected triangles to any neighbors */ -/* not protected by subsegments. Delete all infected triangles. */ -/* */ -/* This is the procedure that actually creates holes and concavities. */ -/* */ -/* This procedure operates in two phases. The first phase identifies all */ -/* the triangles that will die, and marks them as infected. They are */ -/* marked to ensure that each triangle is added to the virus pool only */ -/* once, so the procedure will terminate. */ -/* */ -/* The second phase actually eliminates the infected triangles. It also */ -/* eliminates orphaned vertices. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void plague(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void plague(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri testtri; - struct otri neighbor; - triangle **virusloop; - triangle **deadtriangle; - struct osub neighborsubseg; - vertex testvertex; - vertex norg, ndest; - vertex deadorg, deaddest, deadapex; - int killorg; - triangle ptr; /* Temporary variable used by sym() and onext(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - if (b->verbose) { - fprintf(stderr, " Marking neighbors of marked triangles.\n"); - } - /* Loop through all the infected triangles, spreading the virus to */ - /* their neighbors, then to their neighbors' neighbors. */ - traversalinit(&m->viri); - virusloop = (triangle **) traverse(&m->viri); - while (virusloop != (triangle **) NULL) { - testtri.tri = *virusloop; - /* A triangle is marked as infected by messing with one of its pointers */ - /* to subsegments, setting it to an illegal value. Hence, we have to */ - /* temporarily uninfect this triangle so that we can examine its */ - /* adjacent subsegments. */ - uninfect(testtri); - if (b->verbose > 2) { - /* Assign the triangle an orientation for convenience in */ - /* checking its vertices. */ - testtri.orient = 0; - org(testtri, deadorg); - dest(testtri, deaddest); - apex(testtri, deadapex); - fprintf(stderr, " Checking (%.12g, %.12g) (%.12g, %.12g) (%.12g, %.12g)\n", - deadorg[0], deadorg[1], deaddest[0], deaddest[1], - deadapex[0], deadapex[1]); - } - /* Check each of the triangle's three neighbors. */ - for (testtri.orient = 0; testtri.orient < 3; testtri.orient++) { - /* Find the neighbor. */ - sym(testtri, neighbor); - /* Check for a subsegment between the triangle and its neighbor. */ - tspivot(testtri, neighborsubseg); - /* Check if the neighbor is nonexistent or already infected. */ - if ((neighbor.tri == m->dummytri) || infected(neighbor)) { - if (neighborsubseg.ss != m->dummysub) { - /* There is a subsegment separating the triangle from its */ - /* neighbor, but both triangles are dying, so the subsegment */ - /* dies too. */ - subsegdealloc(m, neighborsubseg.ss); - if (neighbor.tri != m->dummytri) { - /* Make sure the subsegment doesn't get deallocated again */ - /* later when the infected neighbor is visited. */ - uninfect(neighbor); - tsdissolve(neighbor); - infect(neighbor); - } - } - } else { /* The neighbor exists and is not infected. */ - if (neighborsubseg.ss == m->dummysub) { - /* There is no subsegment protecting the neighbor, so */ - /* the neighbor becomes infected. */ - if (b->verbose > 2) { - org(neighbor, deadorg); - dest(neighbor, deaddest); - apex(neighbor, deadapex); - fprintf(stderr, - " Marking (%.12g, %.12g) (%.12g, %.12g) (%.12g, %.12g)\n", - deadorg[0], deadorg[1], deaddest[0], deaddest[1], - deadapex[0], deadapex[1]); - } - infect(neighbor); - /* Ensure that the neighbor's neighbors will be infected. */ - deadtriangle = (triangle **) poolalloc(&m->viri); - *deadtriangle = neighbor.tri; - } else { /* The neighbor is protected by a subsegment. */ - /* Remove this triangle from the subsegment. */ - stdissolve(neighborsubseg); - /* The subsegment becomes a boundary. Set markers accordingly. */ - if (mark(neighborsubseg) == 0) { - setmark(neighborsubseg, 1); - } - org(neighbor, norg); - dest(neighbor, ndest); - if (vertexmark(norg) == 0) { - setvertexmark(norg, 1); - } - if (vertexmark(ndest) == 0) { - setvertexmark(ndest, 1); - } - } - } - } - /* Remark the triangle as infected, so it doesn't get added to the */ - /* virus pool again. */ - infect(testtri); - virusloop = (triangle **) traverse(&m->viri); - } - - if (b->verbose) { - fprintf(stderr, " Deleting marked triangles.\n"); - } - - traversalinit(&m->viri); - virusloop = (triangle **) traverse(&m->viri); - while (virusloop != (triangle **) NULL) { - testtri.tri = *virusloop; - - /* Check each of the three corners of the triangle for elimination. */ - /* This is done by walking around each vertex, checking if it is */ - /* still connected to at least one live triangle. */ - for (testtri.orient = 0; testtri.orient < 3; testtri.orient++) { - org(testtri, testvertex); - /* Check if the vertex has already been tested. */ - if (testvertex != (vertex) NULL) { - killorg = 1; - /* Mark the corner of the triangle as having been tested. */ - setorg(testtri, NULL); - /* Walk counterclockwise about the vertex. */ - onext(testtri, neighbor); - /* Stop upon reaching a boundary or the starting triangle. */ - while ((neighbor.tri != m->dummytri) && - (!otriequal(neighbor, testtri))) { - if (infected(neighbor)) { - /* Mark the corner of this triangle as having been tested. */ - setorg(neighbor, NULL); - } else { - /* A live triangle. The vertex survives. */ - killorg = 0; - } - /* Walk counterclockwise about the vertex. */ - onextself(neighbor); - } - /* If we reached a boundary, we must walk clockwise as well. */ - if (neighbor.tri == m->dummytri) { - /* Walk clockwise about the vertex. */ - oprev(testtri, neighbor); - /* Stop upon reaching a boundary. */ - while (neighbor.tri != m->dummytri) { - if (infected(neighbor)) { - /* Mark the corner of this triangle as having been tested. */ - setorg(neighbor, NULL); - } else { - /* A live triangle. The vertex survives. */ - killorg = 0; - } - /* Walk clockwise about the vertex. */ - oprevself(neighbor); - } - } - if (killorg) { - if (b->verbose > 1) { - fprintf(stderr, " Deleting vertex (%.12g, %.12g)\n", - testvertex[0], testvertex[1]); - } - setvertextype(testvertex, UNDEADVERTEX); - m->undeads++; - } - } - } - - /* Record changes in the number of boundary edges, and disconnect */ - /* dead triangles from their neighbors. */ - for (testtri.orient = 0; testtri.orient < 3; testtri.orient++) { - sym(testtri, neighbor); - if (neighbor.tri == m->dummytri) { - /* There is no neighboring triangle on this edge, so this edge */ - /* is a boundary edge. This triangle is being deleted, so this */ - /* boundary edge is deleted. */ - m->hullsize--; - } else { - /* Disconnect the triangle from its neighbor. */ - dissolve(neighbor); - /* There is a neighboring triangle on this edge, so this edge */ - /* becomes a boundary edge when this triangle is deleted. */ - m->hullsize++; - } - } - /* Return the dead triangle to the pool of triangles. */ - triangledealloc(m, testtri.tri); - virusloop = (triangle **) traverse(&m->viri); - } - /* Empty the virus pool. */ - poolrestart(&m->viri); -} - -/*****************************************************************************/ -/* */ -/* regionplague() Spread regional attributes and/or area constraints */ -/* (from a .poly file) throughout the mesh. */ -/* */ -/* This procedure operates in two phases. The first phase spreads an */ -/* attribute and/or an area constraint through a (segment-bounded) region. */ -/* The triangles are marked to ensure that each triangle is added to the */ -/* virus pool only once, so the procedure will terminate. */ -/* */ -/* The second phase uninfects all infected triangles, returning them to */ -/* normal. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void regionplague(struct mesh *m, struct behavior *b, - REAL attribute, REAL area) -#else /* not ANSI_DECLARATORS */ -void regionplague(m, b, attribute, area) -struct mesh *m; -struct behavior *b; -REAL attribute; -REAL area; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri testtri; - struct otri neighbor; - triangle **virusloop; - triangle **regiontri; - struct osub neighborsubseg; - vertex regionorg, regiondest, regionapex; - triangle ptr; /* Temporary variable used by sym() and onext(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - if (b->verbose > 1) { - fprintf(stderr, " Marking neighbors of marked triangles.\n"); - } - /* Loop through all the infected triangles, spreading the attribute */ - /* and/or area constraint to their neighbors, then to their neighbors' */ - /* neighbors. */ - traversalinit(&m->viri); - virusloop = (triangle **) traverse(&m->viri); - while (virusloop != (triangle **) NULL) { - testtri.tri = *virusloop; - /* A triangle is marked as infected by messing with one of its pointers */ - /* to subsegments, setting it to an illegal value. Hence, we have to */ - /* temporarily uninfect this triangle so that we can examine its */ - /* adjacent subsegments. */ - uninfect(testtri); - if (b->regionattrib) { - /* Set an attribute. */ - setelemattribute(testtri, m->eextras, attribute); - } - if (b->vararea) { - /* Set an area constraint. */ - setareabound(testtri, area); - } - if (b->verbose > 2) { - /* Assign the triangle an orientation for convenience in */ - /* checking its vertices. */ - testtri.orient = 0; - org(testtri, regionorg); - dest(testtri, regiondest); - apex(testtri, regionapex); - fprintf(stderr, " Checking (%.12g, %.12g) (%.12g, %.12g) (%.12g, %.12g)\n", - regionorg[0], regionorg[1], regiondest[0], regiondest[1], - regionapex[0], regionapex[1]); - } - /* Check each of the triangle's three neighbors. */ - for (testtri.orient = 0; testtri.orient < 3; testtri.orient++) { - /* Find the neighbor. */ - sym(testtri, neighbor); - /* Check for a subsegment between the triangle and its neighbor. */ - tspivot(testtri, neighborsubseg); - /* Make sure the neighbor exists, is not already infected, and */ - /* isn't protected by a subsegment. */ - if ((neighbor.tri != m->dummytri) && !infected(neighbor) - && (neighborsubseg.ss == m->dummysub)) { - if (b->verbose > 2) { - org(neighbor, regionorg); - dest(neighbor, regiondest); - apex(neighbor, regionapex); - fprintf(stderr, " Marking (%.12g, %.12g) (%.12g, %.12g) (%.12g, %.12g)\n", - regionorg[0], regionorg[1], regiondest[0], regiondest[1], - regionapex[0], regionapex[1]); - } - /* Infect the neighbor. */ - infect(neighbor); - /* Ensure that the neighbor's neighbors will be infected. */ - regiontri = (triangle **) poolalloc(&m->viri); - *regiontri = neighbor.tri; - } - } - /* Remark the triangle as infected, so it doesn't get added to the */ - /* virus pool again. */ - infect(testtri); - virusloop = (triangle **) traverse(&m->viri); - } - - /* Uninfect all triangles. */ - if (b->verbose > 1) { - fprintf(stderr, " Unmarking marked triangles.\n"); - } - traversalinit(&m->viri); - virusloop = (triangle **) traverse(&m->viri); - while (virusloop != (triangle **) NULL) { - testtri.tri = *virusloop; - uninfect(testtri); - virusloop = (triangle **) traverse(&m->viri); - } - /* Empty the virus pool. */ - poolrestart(&m->viri); -} - -/*****************************************************************************/ -/* */ -/* carveholes() Find the holes and infect them. Find the area */ -/* constraints and infect them. Infect the convex hull. */ -/* Spread the infection and kill triangles. Spread the */ -/* area constraints. */ -/* */ -/* This routine mainly calls other routines to carry out all these */ -/* functions. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void carveholes(struct mesh *m, struct behavior *b, REAL *holelist, int holes, - REAL *regionlist, int regions) -#else /* not ANSI_DECLARATORS */ -void carveholes(m, b, holelist, holes, regionlist, regions) -struct mesh *m; -struct behavior *b; -REAL *holelist; -int holes; -REAL *regionlist; -int regions; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri searchtri; - struct otri triangleloop; - struct otri *regiontris; - triangle **holetri; - triangle **regiontri; - vertex searchorg, searchdest; - enum locateresult intersect; - int i; - triangle ptr; /* Temporary variable used by sym(). */ - - if (!(b->quiet || (b->noholes && b->convex))) { - fprintf(stderr, "Removing unwanted triangles.\n"); - if (b->verbose && (holes > 0)) { - fprintf(stderr, " Marking holes for elimination.\n"); - } - } - - if (regions > 0) { - /* Allocate storage for the triangles in which region points fall. */ - regiontris = (struct otri *) trimalloc(regions * sizeof(struct otri)); - } - - if (((holes > 0) && !b->noholes) || !b->convex || (regions > 0)) { - /* Initialize a pool of viri to be used for holes, concavities, */ - /* regional attributes, and/or regional area constraints. */ - poolinit(&m->viri, sizeof(triangle *), VIRUSPERBLOCK, POINTER, 0); - } - - if (!b->convex) { - /* Mark as infected any unprotected triangles on the boundary. */ - /* This is one way by which concavities are created. */ - infecthull(m, b); - } - - if ((holes > 0) && !b->noholes) { - /* Infect each triangle in which a hole lies. */ - for (i = 0; i < 2 * holes; i += 2) { - /* Ignore holes that aren't within the bounds of the mesh. */ - if ((holelist[i] >= m->xmin) && (holelist[i] <= m->xmax) - && (holelist[i + 1] >= m->ymin) && (holelist[i + 1] <= m->ymax)) { - /* Start searching from some triangle on the outer boundary. */ - searchtri.tri = m->dummytri; - searchtri.orient = 0; - symself(searchtri); - /* Ensure that the hole is to the left of this boundary edge; */ - /* otherwise, locate() will falsely report that the hole */ - /* falls within the starting triangle. */ - org(searchtri, searchorg); - dest(searchtri, searchdest); - if (counterclockwise(m, b, searchorg, searchdest, &holelist[i]) > - 0.0) { - /* Find a triangle that contains the hole. */ - intersect = locate(m, b, &holelist[i], &searchtri); - if ((intersect != OUTSIDE) && (!infected(searchtri))) { - /* Infect the triangle. This is done by marking the triangle */ - /* as infected and including the triangle in the virus pool. */ - infect(searchtri); - holetri = (triangle **) poolalloc(&m->viri); - *holetri = searchtri.tri; - } - } - } - } - } - - /* Now, we have to find all the regions BEFORE we carve the holes, because */ - /* locate() won't work when the triangulation is no longer convex. */ - /* (Incidentally, this is the reason why regional attributes and area */ - /* constraints can't be used when refining a preexisting mesh, which */ - /* might not be convex; they can only be used with a freshly */ - /* triangulated PSLG.) */ - if (regions > 0) { - /* Find the starting triangle for each region. */ - for (i = 0; i < regions; i++) { - regiontris[i].tri = m->dummytri; - /* Ignore region points that aren't within the bounds of the mesh. */ - if ((regionlist[4 * i] >= m->xmin) && (regionlist[4 * i] <= m->xmax) && - (regionlist[4 * i + 1] >= m->ymin) && - (regionlist[4 * i + 1] <= m->ymax)) { - /* Start searching from some triangle on the outer boundary. */ - searchtri.tri = m->dummytri; - searchtri.orient = 0; - symself(searchtri); - /* Ensure that the region point is to the left of this boundary */ - /* edge; otherwise, locate() will falsely report that the */ - /* region point falls within the starting triangle. */ - org(searchtri, searchorg); - dest(searchtri, searchdest); - if (counterclockwise(m, b, searchorg, searchdest, ®ionlist[4 * i]) > - 0.0) { - /* Find a triangle that contains the region point. */ - intersect = locate(m, b, ®ionlist[4 * i], &searchtri); - if ((intersect != OUTSIDE) && (!infected(searchtri))) { - /* Record the triangle for processing after the */ - /* holes have been carved. */ - otricopy(searchtri, regiontris[i]); - } - } - } - } - } - - if (m->viri.items > 0) { - /* Carve the holes and concavities. */ - plague(m, b); - } - /* The virus pool should be empty now. */ - - if (regions > 0) { - if (!b->quiet) { - if (b->regionattrib) { - if (b->vararea) { - fprintf(stderr, "Spreading regional attributes and area constraints.\n"); - } else { - fprintf(stderr, "Spreading regional attributes.\n"); - } - } else { - fprintf(stderr, "Spreading regional area constraints.\n"); - } - } - if (b->regionattrib && !b->refine) { - /* Assign every triangle a regional attribute of zero. */ - traversalinit(&m->triangles); - triangleloop.orient = 0; - triangleloop.tri = triangletraverse(m); - while (triangleloop.tri != (triangle *) NULL) { - setelemattribute(triangleloop, m->eextras, 0.0); - triangleloop.tri = triangletraverse(m); - } - } - for (i = 0; i < regions; i++) { - if (regiontris[i].tri != m->dummytri) { - /* Make sure the triangle under consideration still exists. */ - /* It may have been eaten by the virus. */ - if (!deadtri(regiontris[i].tri)) { - /* Put one triangle in the virus pool. */ - infect(regiontris[i]); - regiontri = (triangle **) poolalloc(&m->viri); - *regiontri = regiontris[i].tri; - /* Apply one region's attribute and/or area constraint. */ - regionplague(m, b, regionlist[4 * i + 2], regionlist[4 * i + 3]); - /* The virus pool should be empty now. */ - } - } - } - if (b->regionattrib && !b->refine) { - /* Note the fact that each triangle has an additional attribute. */ - m->eextras++; - } - } - - /* Free up memory. */ - if (((holes > 0) && !b->noholes) || !b->convex || (regions > 0)) { - pooldeinit(&m->viri); - } - if (regions > 0) { - trifree((VOID *) regiontris); - } -} - -/** **/ -/** **/ -/********* Carving out holes and concavities ends here *********/ - -/********* Mesh quality maintenance begins here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* tallyencs() Traverse the entire list of subsegments, and check each */ -/* to see if it is encroached. If so, add it to the list. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -void tallyencs(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void tallyencs(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct osub subsegloop; - int dummy; - - traversalinit(&m->subsegs); - subsegloop.ssorient = 0; - subsegloop.ss = subsegtraverse(m); - while (subsegloop.ss != (subseg *) NULL) { - /* If the segment is encroached, add it to the list. */ - dummy = checkseg4encroach(m, b, &subsegloop, 0.0); - subsegloop.ss = subsegtraverse(m); - } -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* precisionerror() Print an error message for precision problems. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -void precisionerror() -{ - fprintf(stderr, "Try increasing the area criterion and/or reducing the minimum\n"); - fprintf(stderr, " allowable angle so that tiny triangles are not created.\n"); -#ifdef SINGLE - fprintf(stderr, "Alternatively, try recompiling me with double precision\n"); - fprintf(stderr, " arithmetic (by removing \"#define SINGLE\" from the\n"); - fprintf(stderr, " source file or \"-DSINGLE\" from the makefile).\n"); -#endif /* SINGLE */ -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* splitencsegs() Split all the encroached subsegments. */ -/* */ -/* Each encroached subsegment is repaired by splitting it - inserting a */ -/* vertex at or near its midpoint. Newly inserted vertices may encroach */ -/* upon other subsegments; these are also repaired. */ -/* */ -/* `triflaws' is a flag that specifies whether one should take note of new */ -/* bad triangles that result from inserting vertices to repair encroached */ -/* subsegments. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -void splitencsegs(struct mesh *m, struct behavior *b, int triflaws) -#else /* not ANSI_DECLARATORS */ -void splitencsegs(m, b, triflaws) -struct mesh *m; -struct behavior *b; -int triflaws; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri enctri; - struct otri testtri; - struct osub testsh; - struct osub currentenc; - struct badsubseg *encloop; - vertex eorg, edest, eapex; - vertex newvertex; - enum insertvertexresult success; - REAL segmentlength, nearestpoweroftwo; - REAL split; - REAL multiplier, divisor; - int acuteorg, acuteorg2, acutedest, acutedest2; - int dummy; - int i; - triangle ptr; /* Temporary variable used by stpivot(). */ - subseg sptr; /* Temporary variable used by snext(). */ - - /* Note that steinerleft == -1 if an unlimited number */ - /* of Steiner points is allowed. */ - while ((m->badsubsegs.items > 0) && (m->steinerleft != 0)) { - traversalinit(&m->badsubsegs); - encloop = badsubsegtraverse(m); - while ((encloop != (struct badsubseg *) NULL) && (m->steinerleft != 0)) { - sdecode(encloop->encsubseg, currentenc); - sorg(currentenc, eorg); - sdest(currentenc, edest); - /* Make sure that this segment is still the same segment it was */ - /* when it was determined to be encroached. If the segment was */ - /* enqueued multiple times (because several newly inserted */ - /* vertices encroached it), it may have already been split. */ - if (!deadsubseg(currentenc.ss) && - (eorg == encloop->subsegorg) && (edest == encloop->subsegdest)) { - /* To decide where to split a segment, we need to know if the */ - /* segment shares an endpoint with an adjacent segment. */ - /* The concern is that, if we simply split every encroached */ - /* segment in its center, two adjacent segments with a small */ - /* angle between them might lead to an infinite loop; each */ - /* vertex added to split one segment will encroach upon the */ - /* other segment, which must then be split with a vertex that */ - /* will encroach upon the first segment, and so on forever. */ - /* To avoid this, imagine a set of concentric circles, whose */ - /* radii are powers of two, about each segment endpoint. */ - /* These concentric circles determine where the segment is */ - /* split. (If both endpoints are shared with adjacent */ - /* segments, split the segment in the middle, and apply the */ - /* concentric circles for later splittings.) */ - - /* Is the origin shared with another segment? */ - stpivot(currentenc, enctri); - lnext(enctri, testtri); - tspivot(testtri, testsh); - acuteorg = testsh.ss != m->dummysub; - /* Is the destination shared with another segment? */ - lnextself(testtri); - tspivot(testtri, testsh); - acutedest = testsh.ss != m->dummysub; - - /* If we're using diametral lenses (rather than diametral circles) */ - /* to define encroachment, delete free vertices from the */ - /* subsegment's diametral circle. */ - if (!b->nolenses && !acuteorg && !acutedest) { - apex(enctri, eapex); - while ((vertextype(eapex) == FREEVERTEX) && - ((eorg[0] - eapex[0]) * (edest[0] - eapex[0]) + - (eorg[1] - eapex[1]) * (edest[1] - eapex[1]) < 0.0)) { - deletevertex(m, b, &testtri); - stpivot(currentenc, enctri); - apex(enctri, eapex); - lprev(enctri, testtri); - } - } - - /* Now, check the other side of the segment, if there's a triangle */ - /* there. */ - sym(enctri, testtri); - if (testtri.tri != m->dummytri) { - /* Is the destination shared with another segment? */ - lnextself(testtri); - tspivot(testtri, testsh); - acutedest2 = testsh.ss != m->dummysub; - acutedest = acutedest || acutedest2; - /* Is the origin shared with another segment? */ - lnextself(testtri); - tspivot(testtri, testsh); - acuteorg2 = testsh.ss != m->dummysub; - acuteorg = acuteorg || acuteorg2; - - /* Delete free vertices from the subsegment's diametral circle. */ - if (!b->nolenses && !acuteorg2 && !acutedest2) { - org(testtri, eapex); - while ((vertextype(eapex) == FREEVERTEX) && - ((eorg[0] - eapex[0]) * (edest[0] - eapex[0]) + - (eorg[1] - eapex[1]) * (edest[1] - eapex[1]) < 0.0)) { - deletevertex(m, b, &testtri); - sym(enctri, testtri); - apex(testtri, eapex); - lprevself(testtri); - } - } - } - - /* Use the concentric circles if exactly one endpoint is shared */ - /* with another adjacent segment. */ - if (acuteorg || acutedest) { - segmentlength = sqrt((edest[0] - eorg[0]) * (edest[0] - eorg[0]) + - (edest[1] - eorg[1]) * (edest[1] - eorg[1])); - /* Find the power of two that most evenly splits the segment. */ - /* The worst case is a 2:1 ratio between subsegment lengths. */ - nearestpoweroftwo = 1.0; - while (segmentlength > 3.0 * nearestpoweroftwo) { - nearestpoweroftwo *= 2.0; - } - while (segmentlength < 1.5 * nearestpoweroftwo) { - nearestpoweroftwo *= 0.5; - } - /* Where do we split the segment? */ - split = nearestpoweroftwo / segmentlength; - if (acutedest) { - split = 1.0 - split; - } - } else { - /* If we're not worried about adjacent segments, split */ - /* this segment in the middle. */ - split = 0.5; - } - - /* Create the new vertex. */ - newvertex = (vertex) poolalloc(&m->vertices); - /* Interpolate its coordinate and attributes. */ - for (i = 0; i < 2 + m->nextras; i++) { - newvertex[i] = eorg[i] + split * (edest[i] - eorg[i]); - } - - if (!b->noexact) { - /* Roundoff in the above calculation may yield a `newvertex' */ - /* that is not precisely collinear with `eorg' and `edest'. */ - /* Improve collinearity by one step of iterative refinement. */ - multiplier = counterclockwise(m, b, eorg, edest, newvertex); - divisor = ((eorg[0] - edest[0]) * (eorg[0] - edest[0]) + - (eorg[1] - edest[1]) * (eorg[1] - edest[1])); - if ((multiplier != 0.0) && (divisor != 0.0)) { - multiplier = multiplier / divisor; - /* Watch out for NANs. */ - if (multiplier == multiplier) { - newvertex[0] += multiplier * (edest[1] - eorg[1]); - newvertex[1] += multiplier * (eorg[0] - edest[0]); - } - } - } - - setvertexmark(newvertex, mark(currentenc)); - setvertextype(newvertex, SEGMENTVERTEX); - if (b->verbose > 1) { - fprintf(stderr, - " Splitting subsegment (%.12g, %.12g) (%.12g, %.12g) at (%.12g, %.12g).\n", - eorg[0], eorg[1], edest[0], edest[1], - newvertex[0], newvertex[1]); - } - /* Check whether the new vertex lies on an endpoint. */ - if (((newvertex[0] == eorg[0]) && (newvertex[1] == eorg[1])) || - ((newvertex[0] == edest[0]) && (newvertex[1] == edest[1]))) { - fprintf(stderr, "Error: Ran out of precision at (%.12g, %.12g).\n", - newvertex[0], newvertex[1]); - fprintf(stderr, "I attempted to split a segment to a smaller size than\n"); - fprintf(stderr, " can be accommodated by the finite precision of\n"); - fprintf(stderr, " floating point arithmetic.\n"); - precisionerror(); - exit(1); - } - /* Insert the splitting vertex. This should always succeed. */ - success = insertvertex(m, b, newvertex, &enctri, ¤tenc, - 1, triflaws, 0.0); - if ((success != SUCCESSFULVERTEX) && (success != ENCROACHINGVERTEX)) { - fprintf(stderr, "Internal error in splitencsegs():\n"); - fprintf(stderr, " Failure to split a segment.\n"); - internalerror(); - } - if (m->steinerleft > 0) { - m->steinerleft--; - } - /* Check the two new subsegments to see if they're encroached. */ - dummy = checkseg4encroach(m, b, ¤tenc, 0.0); - snextself(currentenc); - dummy = checkseg4encroach(m, b, ¤tenc, 0.0); - } - - badsubsegdealloc(m, encloop); - encloop = badsubsegtraverse(m); - } - } -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* tallyfaces() Test every triangle in the mesh for quality measures. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -void tallyfaces(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void tallyfaces(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri triangleloop; - - if (b->verbose) { - fprintf(stderr, " Making a list of bad triangles.\n"); - } - traversalinit(&m->triangles); - triangleloop.orient = 0; - triangleloop.tri = triangletraverse(m); - while (triangleloop.tri != (triangle *) NULL) { - /* If the triangle is bad, enqueue it. */ - testtriangle(m, b, &triangleloop); - triangleloop.tri = triangletraverse(m); - } -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* splittriangle() Inserts a vertex at the circumcenter of a triangle. */ -/* Deletes the newly inserted vertex if it encroaches */ -/* upon a segment. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -void splittriangle(struct mesh *m, struct behavior *b, - struct badtriang *badtri) -#else /* not ANSI_DECLARATORS */ -void splittriangle(m, b, badtri) -struct mesh *m; -struct behavior *b; -struct badtriang *badtri; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri badotri; - vertex borg, bdest, bapex; - vertex newvertex; - REAL xi, eta; - REAL minedge; - enum insertvertexresult success; - int errorflag; - int i; - - decode(badtri->poortri, badotri); - org(badotri, borg); - dest(badotri, bdest); - apex(badotri, bapex); - /* Make sure that this triangle is still the same triangle it was */ - /* when it was tested and determined to be of bad quality. */ - /* Subsequent transformations may have made it a different triangle. */ - if (!deadtri(badotri.tri) && (borg == badtri->triangorg) && - (bdest == badtri->triangdest) && (bapex == badtri->triangapex)) { - if (b->verbose > 1) { - fprintf(stderr, " Splitting this triangle at its circumcenter:\n"); - fprintf(stderr, " (%.12g, %.12g) (%.12g, %.12g) (%.12g, %.12g)\n", borg[0], - borg[1], bdest[0], bdest[1], bapex[0], bapex[1]); - } - - errorflag = 0; - /* Create a new vertex at the triangle's circumcenter. */ - newvertex = (vertex) poolalloc(&m->vertices); - findcircumcenter(m, b, borg, bdest, bapex, newvertex, &xi, &eta, &minedge); - - /* Check whether the new vertex lies on a triangle vertex. */ - if (((newvertex[0] == borg[0]) && (newvertex[1] == borg[1])) || - ((newvertex[0] == bdest[0]) && (newvertex[1] == bdest[1])) || - ((newvertex[0] == bapex[0]) && (newvertex[1] == bapex[1]))) { - if (!b->quiet) { - fprintf(stderr, - "Warning: New vertex (%.12g, %.12g) falls on existing vertex.\n", - newvertex[0], newvertex[1]); - errorflag = 1; - } - vertexdealloc(m, newvertex); - } else { - for (i = 2; i < 2 + m->nextras; i++) { - /* Interpolate the vertex attributes at the circumcenter. */ - newvertex[i] = borg[i] + xi * (bdest[i] - borg[i]) - + eta * (bapex[i] - borg[i]); - } - /* The new vertex must be in the interior, and therefore is a */ - /* free vertex with a marker of zero. */ - setvertexmark(newvertex, 0); - setvertextype(newvertex, FREEVERTEX); - - /* Ensure that the handle `badotri' does not represent the longest */ - /* edge of the triangle. This ensures that the circumcenter must */ - /* fall to the left of this edge, so point location will work. */ - /* (If the angle org-apex-dest exceeds 90 degrees, then the */ - /* circumcenter lies outside the org-dest edge, and eta is */ - /* negative. Roundoff error might prevent eta from being */ - /* negative when it should be, so I test eta against xi.) */ - if (eta < xi) { - lprevself(badotri); - } - - /* Insert the circumcenter, searching from the edge of the triangle, */ - /* and maintain the Delaunay property of the triangulation. */ - success = insertvertex(m, b, newvertex, &badotri, (struct osub *) NULL, - 1, 1, minedge); - if (success == SUCCESSFULVERTEX) { - if (m->steinerleft > 0) { - m->steinerleft--; - } - } else if (success == ENCROACHINGVERTEX) { - /* If the newly inserted vertex encroaches upon a subsegment, */ - /* delete the new vertex. */ - undovertex(m, b); - if (b->verbose > 1) { - fprintf(stderr, " Rejecting (%.12g, %.12g).\n", newvertex[0], newvertex[1]); - } - vertexdealloc(m, newvertex); - } else if (success == VIOLATINGVERTEX) { - /* Failed to insert the new vertex, but some subsegment was */ - /* marked as being encroached. */ - vertexdealloc(m, newvertex); - } else { /* success == DUPLICATEVERTEX */ - /* Couldn't insert the new vertex because a vertex is already there. */ - if (!b->quiet) { - fprintf(stderr, - "Warning: New vertex (%.12g, %.12g) falls on existing vertex.\n", - newvertex[0], newvertex[1]); - errorflag = 1; - } - vertexdealloc(m, newvertex); - } - } - if (errorflag) { - if (b->verbose) { - fprintf(stderr, " The new vertex is at the circumcenter of triangle\n"); - fprintf(stderr, " (%.12g, %.12g) (%.12g, %.12g) (%.12g, %.12g)\n", - borg[0], borg[1], bdest[0], bdest[1], bapex[0], bapex[1]); - } - fprintf(stderr, "This probably means that I am trying to refine triangles\n"); - fprintf(stderr, " to a smaller size than can be accommodated by the finite\n"); - fprintf(stderr, " precision of floating point arithmetic. (You can be\n"); - fprintf(stderr, " sure of this if I fail to terminate.)\n"); - precisionerror(); - } - } -} - -#endif /* not CDT_ONLY */ - -/*****************************************************************************/ -/* */ -/* enforcequality() Remove all the encroached subsegments and bad */ -/* triangles from the triangulation. */ -/* */ -/*****************************************************************************/ - -#ifndef CDT_ONLY - -#ifdef ANSI_DECLARATORS -void enforcequality(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void enforcequality(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct badtriang *badtri; - int i; - - if (!b->quiet) { - fprintf(stderr, "Adding Steiner points to enforce quality.\n"); - } - /* Initialize the pool of encroached subsegments. */ - poolinit(&m->badsubsegs, sizeof(struct badsubseg), BADSUBSEGPERBLOCK, - POINTER, 0); - if (b->verbose) { - fprintf(stderr, " Looking for encroached subsegments.\n"); - } - /* Test all segments to see if they're encroached. */ - tallyencs(m, b); - if (b->verbose && (m->badsubsegs.items > 0)) { - fprintf(stderr, " Splitting encroached subsegments.\n"); - } - /* Fix encroached subsegments without noting bad triangles. */ - splitencsegs(m, b, 0); - /* At this point, if we haven't run out of Steiner points, the */ - /* triangulation should be (conforming) Delaunay. */ - - /* Next, we worry about enforcing triangle quality. */ - if ((b->minangle > 0.0) || b->vararea || b->fixedarea || b->usertest) { - /* Initialize the pool of bad triangles. */ - poolinit(&m->badtriangles, sizeof(struct badtriang), BADTRIPERBLOCK, - POINTER, 0); - /* Initialize the queues of bad triangles. */ - for (i = 0; i < 64; i++) { - m->queuefront[i] = (struct badtriang *) NULL; - } - m->firstnonemptyq = -1; - /* Test all triangles to see if they're bad. */ - tallyfaces(m, b); - /* Initialize the pool of recently flipped triangles. */ - poolinit(&m->flipstackers, sizeof(struct flipstacker), FLIPSTACKERPERBLOCK, - POINTER, 0); - m->checkquality = 1; - if (b->verbose) { - fprintf(stderr, " Splitting bad triangles.\n"); - } - while ((m->badtriangles.items > 0) && (m->steinerleft != 0)) { - /* Fix one bad triangle by inserting a vertex at its circumcenter. */ - badtri = dequeuebadtriang(m); - splittriangle(m, b, badtri); - if (m->badsubsegs.items > 0) { - /* Put bad triangle back in queue for another try later. */ - enqueuebadtriang(m, b, badtri); - /* Fix any encroached subsegments that resulted. */ - /* Record any new bad triangles that result. */ - splitencsegs(m, b, 1); - } else { - /* Return the bad triangle to the pool. */ - pooldealloc(&m->badtriangles, (VOID *) badtri); - } - } - } - /* At this point, if we haven't run out of Steiner points, the */ - /* triangulation should be (conforming) Delaunay and have no */ - /* low-quality triangles. */ - - /* Might we have run out of Steiner points too soon? */ - if (!b->quiet && (m->badsubsegs.items > 0) && (m->steinerleft == 0)) { - fprintf(stderr, "\nWarning: I ran out of Steiner points, but the mesh has\n"); - if (m->badsubsegs.items == 1) { - fprintf(stderr, " an encroached subsegment, and therefore might not be truly\n"); - } else { - fprintf(stderr, " %ld encroached subsegments, and therefore might not be truly\n" - , m->badsubsegs.items); - } - fprintf(stderr, " Delaunay. If the Delaunay property is important to you,\n"); - fprintf(stderr, " try increasing the number of Steiner points (controlled by\n"); - fprintf(stderr, " the -S switch) slightly and try again.\n\n"); - } -} - -#endif /* not CDT_ONLY */ - -/** **/ -/** **/ -/********* Mesh quality maintenance ends here *********/ - -/*****************************************************************************/ -/* */ -/* highorder() Create extra nodes for quadratic subparametric elements. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void highorder(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void highorder(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri triangleloop, trisym; - struct osub checkmark; - vertex newvertex; - vertex torg, tdest; - int i; - triangle ptr; /* Temporary variable used by sym(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - - if (!b->quiet) { - fprintf(stderr, "Adding vertices for second-order triangles.\n"); - } - /* The following line ensures that dead items in the pool of nodes */ - /* cannot be allocated for the extra nodes associated with high */ - /* order elements. This ensures that the primary nodes (at the */ - /* corners of elements) will occur earlier in the output files, and */ - /* have lower indices, than the extra nodes. */ - m->vertices.deaditemstack = (VOID *) NULL; - - traversalinit(&m->triangles); - triangleloop.tri = triangletraverse(m); - /* To loop over the set of edges, loop over all triangles, and look at */ - /* the three edges of each triangle. If there isn't another triangle */ - /* adjacent to the edge, operate on the edge. If there is another */ - /* adjacent triangle, operate on the edge only if the current triangle */ - /* has a smaller pointer than its neighbor. This way, each edge is */ - /* considered only once. */ - while (triangleloop.tri != (triangle *) NULL) { - for (triangleloop.orient = 0; triangleloop.orient < 3; - triangleloop.orient++) { - sym(triangleloop, trisym); - if ((triangleloop.tri < trisym.tri) || (trisym.tri == m->dummytri)) { - org(triangleloop, torg); - dest(triangleloop, tdest); - /* Create a new node in the middle of the edge. Interpolate */ - /* its attributes. */ - newvertex = (vertex) poolalloc(&m->vertices); - for (i = 0; i < 2 + m->nextras; i++) { - newvertex[i] = 0.5 * (torg[i] + tdest[i]); - } - /* Set the new node's marker to zero or one, depending on */ - /* whether it lies on a boundary. */ - setvertexmark(newvertex, trisym.tri == m->dummytri); - setvertextype(newvertex, - trisym.tri == m->dummytri ? FREEVERTEX : SEGMENTVERTEX); - if (b->usesegments) { - tspivot(triangleloop, checkmark); - /* If this edge is a segment, transfer the marker to the new node. */ - if (checkmark.ss != m->dummysub) { - setvertexmark(newvertex, mark(checkmark)); - setvertextype(newvertex, SEGMENTVERTEX); - } - } - if (b->verbose > 1) { - fprintf(stderr, " Creating (%.12g, %.12g).\n", newvertex[0], newvertex[1]); - } - /* Record the new node in the (one or two) adjacent elements. */ - triangleloop.tri[m->highorderindex + triangleloop.orient] = - (triangle) newvertex; - if (trisym.tri != m->dummytri) { - trisym.tri[m->highorderindex + trisym.orient] = (triangle) newvertex; - } - } - } - triangleloop.tri = triangletraverse(m); - } -} - -/********* File I/O routines begin here *********/ -/** **/ -/** **/ - -/*****************************************************************************/ -/* */ -/* readline() Read a nonempty line from a file. */ -/* */ -/* A line is considered "nonempty" if it contains something that looks like */ -/* a number. Comments (prefaced by `#') are ignored. */ -/* */ -/*****************************************************************************/ - -#ifndef TRILIBRARY - -#ifdef ANSI_DECLARATORS -char *readline(char *string, FILE *infile, char *infilename) -#else /* not ANSI_DECLARATORS */ -char *readline(string, infile, infilename) -char *string; -FILE *infile; -char *infilename; -#endif /* not ANSI_DECLARATORS */ - -{ - char *result; - - /* Search for something that looks like a number. */ - do { - result = fgets(string, INPUTLINESIZE, infile); - if (result == (char *) NULL) { - fprintf(stderr, " Error: Unexpected end of file in %s.\n", infilename); - exit(1); - } - /* Skip anything that doesn't look like a number, a comment, */ - /* or the end of a line. */ - while ((*result != '\0') && (*result != '#') - && (*result != '.') && (*result != '+') && (*result != '-') - && ((*result < '0') || (*result > '9'))) { - result++; - } - /* If it's a comment or end of line, read another line and try again. */ - } while ((*result == '#') || (*result == '\0')); - return result; -} - -#endif /* not TRILIBRARY */ - -/*****************************************************************************/ -/* */ -/* findfield() Find the next field of a string. */ -/* */ -/* Jumps past the current field by searching for whitespace, then jumps */ -/* past the whitespace to find the next field. */ -/* */ -/*****************************************************************************/ - -#ifndef TRILIBRARY - -#ifdef ANSI_DECLARATORS -char *findfield(char *string) -#else /* not ANSI_DECLARATORS */ -char *findfield(string) -char *string; -#endif /* not ANSI_DECLARATORS */ - -{ - char *result; - - result = string; - /* Skip the current field. Stop upon reaching whitespace. */ - while ((*result != '\0') && (*result != '#') - && (*result != ' ') && (*result != '\t')) { - result++; - } - /* Now skip the whitespace and anything else that doesn't look like a */ - /* number, a comment, or the end of a line. */ - while ((*result != '\0') && (*result != '#') - && (*result != '.') && (*result != '+') && (*result != '-') - && ((*result < '0') || (*result > '9'))) { - result++; - } - /* Check for a comment (prefixed with `#'). */ - if (*result == '#') { - *result = '\0'; - } - return result; -} - -#endif /* not TRILIBRARY */ - -/*****************************************************************************/ -/* */ -/* readnodes() Read the vertices from a file, which may be a .node or */ -/* .poly file. */ -/* */ -/*****************************************************************************/ - -#ifndef TRILIBRARY - -#ifdef ANSI_DECLARATORS -void readnodes(struct mesh *m, struct behavior *b, char *nodefilename, - char *polyfilename, FILE **polyfile) -#else /* not ANSI_DECLARATORS */ -void readnodes(m, b, nodefilename, polyfilename, polyfile) -struct mesh *m; -struct behavior *b; -char *nodefilename; -char *polyfilename; -FILE **polyfile; -#endif /* not ANSI_DECLARATORS */ - -{ - FILE *infile; - vertex vertexloop; - char inputline[INPUTLINESIZE]; - char *stringptr; - char *infilename; - REAL x, y; - int firstnode; - int nodemarkers; - int currentmarker; - int i, j; - - if (b->poly) { - /* Read the vertices from a .poly file. */ - if (!b->quiet) { - fprintf(stderr, "Opening %s.\n", polyfilename); - } - *polyfile = fopen(polyfilename, "r"); - if (*polyfile == (FILE *) NULL) { - fprintf(stderr, " Error: Cannot access file %s.\n", polyfilename); - exit(1); - } - /* Read number of vertices, number of dimensions, number of vertex */ - /* attributes, and number of boundary markers. */ - stringptr = readline(inputline, *polyfile, polyfilename); - m->invertices = (int) strtol(stringptr, &stringptr, 0); - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - m->mesh_dim = 2; - } else { - m->mesh_dim = (int) strtol(stringptr, &stringptr, 0); - } - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - m->nextras = 0; - } else { - m->nextras = (int) strtol(stringptr, &stringptr, 0); - } - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - nodemarkers = 0; - } else { - nodemarkers = (int) strtol(stringptr, &stringptr, 0); - } - if (m->invertices > 0) { - infile = *polyfile; - infilename = polyfilename; - m->readnodefile = 0; - } else { - /* If the .poly file claims there are zero vertices, that means that */ - /* the vertices should be read from a separate .node file. */ - m->readnodefile = 1; - infilename = nodefilename; - } - } else { - m->readnodefile = 1; - infilename = nodefilename; - *polyfile = (FILE *) NULL; - } - - if (m->readnodefile) { - /* Read the vertices from a .node file. */ - if (!b->quiet) { - fprintf(stderr, "Opening %s.\n", nodefilename); - } - infile = fopen(nodefilename, "r"); - if (infile == (FILE *) NULL) { - fprintf(stderr, " Error: Cannot access file %s.\n", nodefilename); - exit(1); - } - /* Read number of vertices, number of dimensions, number of vertex */ - /* attributes, and number of boundary markers. */ - stringptr = readline(inputline, infile, nodefilename); - m->invertices = (int) strtol(stringptr, &stringptr, 0); - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - m->mesh_dim = 2; - } else { - m->mesh_dim = (int) strtol(stringptr, &stringptr, 0); - } - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - m->nextras = 0; - } else { - m->nextras = (int) strtol(stringptr, &stringptr, 0); - } - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - nodemarkers = 0; - } else { - nodemarkers = (int) strtol(stringptr, &stringptr, 0); - } - } - - if (m->invertices < 3) { - fprintf(stderr, "Error: Input must have at least three input vertices.\n"); - exit(1); - } - if (m->mesh_dim != 2) { - fprintf(stderr, "Error: Triangle only works with two-dimensional meshes.\n"); - exit(1); - } - if (m->nextras == 0) { - b->weighted = 0; - } - - initializevertexpool(m, b); - - /* Read the vertices. */ - for (i = 0; i < m->invertices; i++) { - vertexloop = (vertex) poolalloc(&m->vertices); - stringptr = readline(inputline, infile, infilename); - if (i == 0) { - firstnode = (int) strtol(stringptr, &stringptr, 0); - if ((firstnode == 0) || (firstnode == 1)) { - b->firstnumber = firstnode; - } - } - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - fprintf(stderr, "Error: Vertex %d has no x coordinate.\n", b->firstnumber + i); - exit(1); - } - x = (REAL) strtod(stringptr, &stringptr); - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - fprintf(stderr, "Error: Vertex %d has no y coordinate.\n", b->firstnumber + i); - exit(1); - } - y = (REAL) strtod(stringptr, &stringptr); - vertexloop[0] = x; - vertexloop[1] = y; - /* Read the vertex attributes. */ - for (j = 2; j < 2 + m->nextras; j++) { - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - vertexloop[j] = 0.0; - } else { - vertexloop[j] = (REAL) strtod(stringptr, &stringptr); - } - } - if (nodemarkers) { - /* Read a vertex marker. */ - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - setvertexmark(vertexloop, 0); - } else { - currentmarker = (int) strtol(stringptr, &stringptr, 0); - setvertexmark(vertexloop, currentmarker); - } - } else { - /* If no markers are specified in the file, they default to zero. */ - setvertexmark(vertexloop, 0); - } - setvertextype(vertexloop, INPUTVERTEX); - /* Determine the smallest and largest x and y coordinates. */ - if (i == 0) { - m->xmin = m->xmax = x; - m->ymin = m->ymax = y; - } else { - m->xmin = (x < m->xmin) ? x : m->xmin; - m->xmax = (x > m->xmax) ? x : m->xmax; - m->ymin = (y < m->ymin) ? y : m->ymin; - m->ymax = (y > m->ymax) ? y : m->ymax; - } - } - if (m->readnodefile) { - fclose(infile); - } - - /* Nonexistent x value used as a flag to mark circle events in sweepline */ - /* Delaunay algorithm. */ - m->xminextreme = 10 * m->xmin - 9 * m->xmax; -} - -#endif /* not TRILIBRARY */ - -/*****************************************************************************/ -/* */ -/* transfernodes() Read the vertices from memory. */ -/* */ -/*****************************************************************************/ - -#ifdef TRILIBRARY - -#ifdef ANSI_DECLARATORS -void transfernodes(struct mesh *m, struct behavior *b, REAL *pointlist, - REAL *pointattriblist, int *pointmarkerlist, - int numberofpoints, int numberofpointattribs) -#else /* not ANSI_DECLARATORS */ -void transfernodes(m, b, pointlist, pointattriblist, pointmarkerlist, - numberofpoints, numberofpointattribs) -struct mesh *m; -struct behavior *b; -REAL *pointlist; -REAL *pointattriblist; -int *pointmarkerlist; -int numberofpoints; -int numberofpointattribs; -#endif /* not ANSI_DECLARATORS */ - -{ - vertex vertexloop; - REAL x, y; - int i, j; - int coordindex; - int attribindex; - - m->invertices = numberofpoints; - m->mesh_dim = 2; - m->nextras = numberofpointattribs; - m->readnodefile = 0; - if (m->invertices < 3) { - fprintf(stderr, "Error: Input must have at least three input vertices.\n"); - exit(1); - } - if (m->nextras == 0) { - b->weighted = 0; - } - - initializevertexpool(m, b); - - /* Read the vertices. */ - coordindex = 0; - attribindex = 0; - for (i = 0; i < m->invertices; i++) { - vertexloop = (vertex) poolalloc(&m->vertices); - /* Read the vertex coordinates. */ - x = vertexloop[0] = pointlist[coordindex++]; - y = vertexloop[1] = pointlist[coordindex++]; - /* Read the vertex attributes. */ - for (j = 0; j < numberofpointattribs; j++) { - vertexloop[2 + j] = pointattriblist[attribindex++]; - } - if (pointmarkerlist != (int *) NULL) { - /* Read a vertex marker. */ - setvertexmark(vertexloop, pointmarkerlist[i]); - } else { - /* If no markers are specified, they default to zero. */ - setvertexmark(vertexloop, 0); - } - setvertextype(vertexloop, INPUTVERTEX); - /* Determine the smallest and largest x and y coordinates. */ - if (i == 0) { - m->xmin = m->xmax = x; - m->ymin = m->ymax = y; - } else { - m->xmin = (x < m->xmin) ? x : m->xmin; - m->xmax = (x > m->xmax) ? x : m->xmax; - m->ymin = (y < m->ymin) ? y : m->ymin; - m->ymax = (y > m->ymax) ? y : m->ymax; - } - } - - /* Nonexistent x value used as a flag to mark circle events in sweepline */ - /* Delaunay algorithm. */ - m->xminextreme = 10 * m->xmin - 9 * m->xmax; -} - -#endif /* TRILIBRARY */ - -/*****************************************************************************/ -/* */ -/* readholes() Read the holes, and possibly regional attributes and area */ -/* constraints, from a .poly file. */ -/* */ -/*****************************************************************************/ - -#ifndef TRILIBRARY - -#ifdef ANSI_DECLARATORS -void readholes(struct mesh *m, struct behavior *b, - FILE *polyfile, char *polyfilename, REAL **hlist, int *holes, - REAL **rlist, int *regions) -#else /* not ANSI_DECLARATORS */ -void readholes(m, b, polyfile, polyfilename, hlist, holes, rlist, regions) -struct mesh *m; -struct behavior *b; -FILE *polyfile; -char *polyfilename; -REAL **hlist; -int *holes; -REAL **rlist; -int *regions; -#endif /* not ANSI_DECLARATORS */ - -{ - REAL *holelist; - REAL *regionlist; - char inputline[INPUTLINESIZE]; - char *stringptr; - int index; - int i; - - /* Read the holes. */ - stringptr = readline(inputline, polyfile, polyfilename); - *holes = (int) strtol(stringptr, &stringptr, 0); - if (*holes > 0) { - holelist = (REAL *) trimalloc(2 * *holes * sizeof(REAL)); - *hlist = holelist; - for (i = 0; i < 2 * *holes; i += 2) { - stringptr = readline(inputline, polyfile, polyfilename); - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - fprintf(stderr, "Error: Hole %d has no x coordinate.\n", - b->firstnumber + (i >> 1)); - exit(1); - } else { - holelist[i] = (REAL) strtod(stringptr, &stringptr); - } - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - fprintf(stderr, "Error: Hole %d has no y coordinate.\n", - b->firstnumber + (i >> 1)); - exit(1); - } else { - holelist[i + 1] = (REAL) strtod(stringptr, &stringptr); - } - } - } else { - *hlist = (REAL *) NULL; - } - -#ifndef CDT_ONLY - if ((b->regionattrib || b->vararea) && !b->refine) { - /* Read the area constraints. */ - stringptr = readline(inputline, polyfile, polyfilename); - *regions = (int) strtol(stringptr, &stringptr, 0); - if (*regions > 0) { - regionlist = (REAL *) trimalloc(4 * *regions * sizeof(REAL)); - *rlist = regionlist; - index = 0; - for (i = 0; i < *regions; i++) { - stringptr = readline(inputline, polyfile, polyfilename); - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - fprintf(stderr, "Error: Region %d has no x coordinate.\n", - b->firstnumber + i); - exit(1); - } else { - regionlist[index++] = (REAL) strtod(stringptr, &stringptr); - } - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - fprintf(stderr, "Error: Region %d has no y coordinate.\n", - b->firstnumber + i); - exit(1); - } else { - regionlist[index++] = (REAL) strtod(stringptr, &stringptr); - } - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - fprintf(stderr, - "Error: Region %d has no region attribute or area constraint.\n", - b->firstnumber + i); - exit(1); - } else { - regionlist[index++] = (REAL) strtod(stringptr, &stringptr); - } - stringptr = findfield(stringptr); - if (*stringptr == '\0') { - regionlist[index] = regionlist[index - 1]; - } else { - regionlist[index] = (REAL) strtod(stringptr, &stringptr); - } - index++; - } - } - } else { - /* Set `*regions' to zero to avoid an accidental free() later. */ - *regions = 0; - *rlist = (REAL *) NULL; - } -#endif /* not CDT_ONLY */ - - fclose(polyfile); -} - -#endif /* not TRILIBRARY */ - -/*****************************************************************************/ -/* */ -/* finishfile() Write the command line to the output file so the user */ -/* can remember how the file was generated. Close the file. */ -/* */ -/*****************************************************************************/ - -#ifndef TRILIBRARY - -#ifdef ANSI_DECLARATORS -void finishfile(FILE *outfile, int argc, char **argv) -#else /* not ANSI_DECLARATORS */ -void finishfile(outfile, argc, argv) -FILE *outfile; -int argc; -char **argv; -#endif /* not ANSI_DECLARATORS */ - -{ - int i; - - fprintf(outfile, "# Generated by"); - for (i = 0; i < argc; i++) { - fprintf(outfile, " "); - fputs(argv[i], outfile); - } - fprintf(outfile, "\n"); - fclose(outfile); -} - -#endif /* not TRILIBRARY */ - -/*****************************************************************************/ -/* */ -/* writenodes() Number the vertices and write them to a .node file. */ -/* */ -/* To save memory, the vertex numbers are written over the boundary markers */ -/* after the vertices are written to a file. */ -/* */ -/*****************************************************************************/ - -#ifdef TRILIBRARY - -#ifdef ANSI_DECLARATORS -void writenodes(struct mesh *m, struct behavior *b, REAL **pointlist, - REAL **pointattriblist, int **pointmarkerlist) -#else /* not ANSI_DECLARATORS */ -void writenodes(m, b, pointlist, pointattriblist, pointmarkerlist) -struct mesh *m; -struct behavior *b; -REAL **pointlist; -REAL **pointattriblist; -int **pointmarkerlist; -#endif /* not ANSI_DECLARATORS */ - -#else /* not TRILIBRARY */ - -#ifdef ANSI_DECLARATORS -void writenodes(struct mesh *m, struct behavior *b, char *nodefilename, - int argc, char **argv) -#else /* not ANSI_DECLARATORS */ -void writenodes(m, b, nodefilename, argc, argv) -struct mesh *m; -struct behavior *b; -char *nodefilename; -int argc; -char **argv; -#endif /* not ANSI_DECLARATORS */ - -#endif /* not TRILIBRARY */ - -{ -#ifdef TRILIBRARY - REAL *plist; - REAL *palist; - int *pmlist; - int coordindex; - int attribindex; -#else /* not TRILIBRARY */ - FILE *outfile; -#endif /* not TRILIBRARY */ - vertex vertexloop; - long outvertices; - int vertexnumber; - int i; - - if (b->jettison) { - outvertices = m->vertices.items - m->undeads; - } else { - outvertices = m->vertices.items; - } - -#ifdef TRILIBRARY - if (!b->quiet) { - fprintf(stderr, "Writing vertices.\n"); - } - /* Allocate memory for output vertices if necessary. */ - if (*pointlist == (REAL *) NULL) { - *pointlist = (REAL *) trimalloc(outvertices * 2 * sizeof(REAL)); - } - /* Allocate memory for output vertex attributes if necessary. */ - if ((m->nextras > 0) && (*pointattriblist == (REAL *) NULL)) { - *pointattriblist = (REAL *) trimalloc(outvertices * m->nextras * - sizeof(REAL)); - } - /* Allocate memory for output vertex markers if necessary. */ - if (!b->nobound && (*pointmarkerlist == (int *) NULL)) { - *pointmarkerlist = (int *) trimalloc(outvertices * sizeof(int)); - } - plist = *pointlist; - palist = *pointattriblist; - pmlist = *pointmarkerlist; - coordindex = 0; - attribindex = 0; -#else /* not TRILIBRARY */ - if (!b->quiet) { - fprintf(stderr, "Writing %s.\n", nodefilename); - } - outfile = fopen(nodefilename, "w"); - if (outfile == (FILE *) NULL) { - fprintf(stderr, " Error: Cannot create file %s.\n", nodefilename); - exit(1); - } - /* Number of vertices, number of dimensions, number of vertex attributes, */ - /* and number of boundary markers (zero or one). */ - fprintf(outfile, "%ld %d %d %d\n", outvertices, m->mesh_dim, - m->nextras, 1 - b->nobound); -#endif /* not TRILIBRARY */ - - traversalinit(&m->vertices); - vertexnumber = b->firstnumber; - vertexloop = vertextraverse(m); - while (vertexloop != (vertex) NULL) { - if (!b->jettison || (vertextype(vertexloop) != UNDEADVERTEX)) { -#ifdef TRILIBRARY - /* X and y coordinates. */ - plist[coordindex++] = vertexloop[0]; - plist[coordindex++] = vertexloop[1]; - /* Vertex attributes. */ - for (i = 0; i < m->nextras; i++) { - palist[attribindex++] = vertexloop[2 + i]; - } - if (!b->nobound) { - /* Copy the boundary marker. */ - pmlist[vertexnumber - b->firstnumber] = vertexmark(vertexloop); - } -#else /* not TRILIBRARY */ - /* Vertex number, x and y coordinates. */ - fprintf(outfile, "%4d %.17g %.17g", vertexnumber, vertexloop[0], - vertexloop[1]); - for (i = 0; i < m->nextras; i++) { - /* Write an attribute. */ - fprintf(outfile, " %.17g", vertexloop[i + 2]); - } - if (b->nobound) { - fprintf(outfile, "\n"); - } else { - /* Write the boundary marker. */ - fprintf(outfile, " %d\n", vertexmark(vertexloop)); - } -#endif /* not TRILIBRARY */ - - setvertexmark(vertexloop, vertexnumber); - vertexnumber++; - } - vertexloop = vertextraverse(m); - } - -#ifndef TRILIBRARY - finishfile(outfile, argc, argv); -#endif /* not TRILIBRARY */ -} - -/*****************************************************************************/ -/* */ -/* numbernodes() Number the vertices. */ -/* */ -/* Each vertex is assigned a marker equal to its number. */ -/* */ -/* Used when writenodes() is not called because no .node file is written. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void numbernodes(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void numbernodes(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - vertex vertexloop; - int vertexnumber; - - traversalinit(&m->vertices); - vertexnumber = b->firstnumber; - vertexloop = vertextraverse(m); - while (vertexloop != (vertex) NULL) { - setvertexmark(vertexloop, vertexnumber); - if (!b->jettison || (vertextype(vertexloop) != UNDEADVERTEX)) { - vertexnumber++; - } - vertexloop = vertextraverse(m); - } -} - -/*****************************************************************************/ -/* */ -/* writeelements() Write the triangles to an .ele file. */ -/* */ -/*****************************************************************************/ - -#ifdef TRILIBRARY - -#ifdef ANSI_DECLARATORS -void writeelements(struct mesh *m, struct behavior *b, - int **trianglelist, REAL **triangleattriblist) -#else /* not ANSI_DECLARATORS */ -void writeelements(m, b, trianglelist, triangleattriblist) -struct mesh *m; -struct behavior *b; -int **trianglelist; -REAL **triangleattriblist; -#endif /* not ANSI_DECLARATORS */ - -#else /* not TRILIBRARY */ - -#ifdef ANSI_DECLARATORS -void writeelements(struct mesh *m, struct behavior *b, char *elefilename, - int argc, char **argv) -#else /* not ANSI_DECLARATORS */ -void writeelements(m, b, elefilename, argc, argv) -struct mesh *m; -struct behavior *b; -char *elefilename; -int argc; -char **argv; -#endif /* not ANSI_DECLARATORS */ - -#endif /* not TRILIBRARY */ - -{ -#ifdef TRILIBRARY - int *tlist; - REAL *talist; - int vertexindex; - int attribindex; -#else /* not TRILIBRARY */ - FILE *outfile; -#endif /* not TRILIBRARY */ - struct otri triangleloop; - vertex p1, p2, p3; - vertex mid1, mid2, mid3; - long elementnumber; - int i; - -#ifdef TRILIBRARY - if (!b->quiet) { - fprintf(stderr, "Writing triangles.\n"); - } - /* Allocate memory for output triangles if necessary. */ - if (*trianglelist == (int *) NULL) { - *trianglelist = (int *) trimalloc(m->triangles.items * - ((b->order + 1) * (b->order + 2) / 2) * - sizeof(int)); - } - /* Allocate memory for output triangle attributes if necessary. */ - if ((m->eextras > 0) && (*triangleattriblist == (REAL *) NULL)) { - *triangleattriblist = (REAL *) trimalloc(m->triangles.items * m->eextras * - sizeof(REAL)); - } - tlist = *trianglelist; - talist = *triangleattriblist; - vertexindex = 0; - attribindex = 0; -#else /* not TRILIBRARY */ - if (!b->quiet) { - fprintf(stderr, "Writing %s.\n", elefilename); - } - outfile = fopen(elefilename, "w"); - if (outfile == (FILE *) NULL) { - fprintf(stderr, " Error: Cannot create file %s.\n", elefilename); - exit(1); - } - /* Number of triangles, vertices per triangle, attributes per triangle. */ - fprintf(outfile, "%ld %d %d\n", m->triangles.items, - (b->order + 1) * (b->order + 2) / 2, m->eextras); -#endif /* not TRILIBRARY */ - - traversalinit(&m->triangles); - triangleloop.tri = triangletraverse(m); - triangleloop.orient = 0; - elementnumber = b->firstnumber; - while (triangleloop.tri != (triangle *) NULL) { - org(triangleloop, p1); - dest(triangleloop, p2); - apex(triangleloop, p3); - if (b->order == 1) { -#ifdef TRILIBRARY - tlist[vertexindex++] = vertexmark(p1); - tlist[vertexindex++] = vertexmark(p2); - tlist[vertexindex++] = vertexmark(p3); -#else /* not TRILIBRARY */ - /* Triangle number, indices for three vertices. */ - fprintf(outfile, "%4ld %4d %4d %4d", elementnumber, - vertexmark(p1), vertexmark(p2), vertexmark(p3)); -#endif /* not TRILIBRARY */ - } else { - mid1 = (vertex) triangleloop.tri[m->highorderindex + 1]; - mid2 = (vertex) triangleloop.tri[m->highorderindex + 2]; - mid3 = (vertex) triangleloop.tri[m->highorderindex]; -#ifdef TRILIBRARY - tlist[vertexindex++] = vertexmark(p1); - tlist[vertexindex++] = vertexmark(p2); - tlist[vertexindex++] = vertexmark(p3); - tlist[vertexindex++] = vertexmark(mid1); - tlist[vertexindex++] = vertexmark(mid2); - tlist[vertexindex++] = vertexmark(mid3); -#else /* not TRILIBRARY */ - /* Triangle number, indices for six vertices. */ - fprintf(outfile, "%4ld %4d %4d %4d %4d %4d %4d", elementnumber, - vertexmark(p1), vertexmark(p2), vertexmark(p3), vertexmark(mid1), - vertexmark(mid2), vertexmark(mid3)); -#endif /* not TRILIBRARY */ - } - -#ifdef TRILIBRARY - for (i = 0; i < m->eextras; i++) { - talist[attribindex++] = elemattribute(triangleloop, i); - } -#else /* not TRILIBRARY */ - for (i = 0; i < m->eextras; i++) { - fprintf(outfile, " %.17g", elemattribute(triangleloop, i)); - } - fprintf(outfile, "\n"); -#endif /* not TRILIBRARY */ - - triangleloop.tri = triangletraverse(m); - elementnumber++; - } - -#ifndef TRILIBRARY - finishfile(outfile, argc, argv); -#endif /* not TRILIBRARY */ -} - -/*****************************************************************************/ -/* */ -/* writepoly() Write the segments and holes to a .poly file. */ -/* */ -/*****************************************************************************/ - -#ifdef TRILIBRARY - -#ifdef ANSI_DECLARATORS -void writepoly(struct mesh *m, struct behavior *b, - int **segmentlist, int **segmentmarkerlist) -#else /* not ANSI_DECLARATORS */ -void writepoly(m, b, segmentlist, segmentmarkerlist) -struct mesh *m; -struct behavior *b; -int **segmentlist; -int **segmentmarkerlist; -#endif /* not ANSI_DECLARATORS */ - -#else /* not TRILIBRARY */ - -#ifdef ANSI_DECLARATORS -void writepoly(struct mesh *m, struct behavior *b, char *polyfilename, - REAL *holelist, int holes, REAL *regionlist, int regions, - int argc, char **argv) -#else /* not ANSI_DECLARATORS */ -void writepoly(m, b, polyfilename, holelist, holes, regionlist, regions, - argc, argv) -struct mesh *m; -struct behavior *b; -char *polyfilename; -REAL *holelist; -int holes; -REAL *regionlist; -int regions; -int argc; -char **argv; -#endif /* not ANSI_DECLARATORS */ - -#endif /* not TRILIBRARY */ - -{ -#ifdef TRILIBRARY - int *slist; - int *smlist; - int index; -#else /* not TRILIBRARY */ - FILE *outfile; - long holenumber, regionnumber; -#endif /* not TRILIBRARY */ - struct osub subsegloop; - vertex endpoint1, endpoint2; - long subsegnumber; - -#ifdef TRILIBRARY - if (!b->quiet) { - fprintf(stderr, "Writing segments.\n"); - } - /* Allocate memory for output segments if necessary. */ - if (*segmentlist == (int *) NULL) { - *segmentlist = (int *) trimalloc(m->subsegs.items * 2 * sizeof(int)); - } - /* Allocate memory for output segment markers if necessary. */ - if (!b->nobound && (*segmentmarkerlist == (int *) NULL)) { - *segmentmarkerlist = (int *) trimalloc(m->subsegs.items * sizeof(int)); - } - slist = *segmentlist; - smlist = *segmentmarkerlist; - index = 0; -#else /* not TRILIBRARY */ - if (!b->quiet) { - fprintf(stderr, "Writing %s.\n", polyfilename); - } - outfile = fopen(polyfilename, "w"); - if (outfile == (FILE *) NULL) { - fprintf(stderr, " Error: Cannot create file %s.\n", polyfilename); - exit(1); - } - /* The zero indicates that the vertices are in a separate .node file. */ - /* Followed by number of dimensions, number of vertex attributes, */ - /* and number of boundary markers (zero or one). */ - fprintf(outfile, "%d %d %d %d\n", 0, m->mesh_dim, m->nextras, - 1 - b->nobound); - /* Number of segments, number of boundary markers (zero or one). */ - fprintf(outfile, "%ld %d\n", m->subsegs.items, 1 - b->nobound); -#endif /* not TRILIBRARY */ - - traversalinit(&m->subsegs); - subsegloop.ss = subsegtraverse(m); - subsegloop.ssorient = 0; - subsegnumber = b->firstnumber; - while (subsegloop.ss != (subseg *) NULL) { - sorg(subsegloop, endpoint1); - sdest(subsegloop, endpoint2); -#ifdef TRILIBRARY - /* Copy indices of the segment's two endpoints. */ - slist[index++] = vertexmark(endpoint1); - slist[index++] = vertexmark(endpoint2); - if (!b->nobound) { - /* Copy the boundary marker. */ - smlist[subsegnumber - b->firstnumber] = mark(subsegloop); - } -#else /* not TRILIBRARY */ - /* Segment number, indices of its two endpoints, and possibly a marker. */ - if (b->nobound) { - fprintf(outfile, "%4ld %4d %4d\n", subsegnumber, - vertexmark(endpoint1), vertexmark(endpoint2)); - } else { - fprintf(outfile, "%4ld %4d %4d %4d\n", subsegnumber, - vertexmark(endpoint1), vertexmark(endpoint2), mark(subsegloop)); - } -#endif /* not TRILIBRARY */ - - subsegloop.ss = subsegtraverse(m); - subsegnumber++; - } - -#ifndef TRILIBRARY -#ifndef CDT_ONLY - fprintf(outfile, "%d\n", holes); - if (holes > 0) { - for (holenumber = 0; holenumber < holes; holenumber++) { - /* Hole number, x and y coordinates. */ - fprintf(outfile, "%4ld %.17g %.17g\n", b->firstnumber + holenumber, - holelist[2 * holenumber], holelist[2 * holenumber + 1]); - } - } - if (regions > 0) { - fprintf(outfile, "%d\n", regions); - for (regionnumber = 0; regionnumber < regions; regionnumber++) { - /* Region number, x and y coordinates, attribute, maximum area. */ - fprintf(outfile, "%4ld %.17g %.17g %.17g %.17g\n", - b->firstnumber + regionnumber, - regionlist[4 * regionnumber], regionlist[4 * regionnumber + 1], - regionlist[4 * regionnumber + 2], - regionlist[4 * regionnumber + 3]); - } - } -#endif /* not CDT_ONLY */ - - finishfile(outfile, argc, argv); -#endif /* not TRILIBRARY */ -} - -/*****************************************************************************/ -/* */ -/* writeedges() Write the edges to an .edge file. */ -/* */ -/*****************************************************************************/ - -#ifdef TRILIBRARY - -#ifdef ANSI_DECLARATORS -void writeedges(struct mesh *m, struct behavior *b, - int **edgelist, int **edgemarkerlist) -#else /* not ANSI_DECLARATORS */ -void writeedges(m, b, edgelist, edgemarkerlist) -struct mesh *m; -struct behavior *b; -int **edgelist; -int **edgemarkerlist; -#endif /* not ANSI_DECLARATORS */ - -#else /* not TRILIBRARY */ - -#ifdef ANSI_DECLARATORS -void writeedges(struct mesh *m, struct behavior *b, char *edgefilename, - int argc, char **argv) -#else /* not ANSI_DECLARATORS */ -void writeedges(m, b, edgefilename, argc, argv) -struct mesh *m; -struct behavior *b; -char *edgefilename; -int argc; -char **argv; -#endif /* not ANSI_DECLARATORS */ - -#endif /* not TRILIBRARY */ - -{ -#ifdef TRILIBRARY - int *elist; - int *emlist; - int index; -#else /* not TRILIBRARY */ - FILE *outfile; -#endif /* not TRILIBRARY */ - struct otri triangleloop, trisym; - struct osub checkmark; - vertex p1, p2; - long edgenumber; - triangle ptr; /* Temporary variable used by sym(). */ - subseg sptr; /* Temporary variable used by tspivot(). */ - -#ifdef TRILIBRARY - if (!b->quiet) { - fprintf(stderr, "Writing edges.\n"); - } - /* Allocate memory for edges if necessary. */ - if (*edgelist == (int *) NULL) { - *edgelist = (int *) trimalloc(m->edges * 2 * sizeof(int)); - } - /* Allocate memory for edge markers if necessary. */ - if (!b->nobound && (*edgemarkerlist == (int *) NULL)) { - *edgemarkerlist = (int *) trimalloc(m->edges * sizeof(int)); - } - elist = *edgelist; - emlist = *edgemarkerlist; - index = 0; -#else /* not TRILIBRARY */ - if (!b->quiet) { - fprintf(stderr, "Writing %s.\n", edgefilename); - } - outfile = fopen(edgefilename, "w"); - if (outfile == (FILE *) NULL) { - fprintf(stderr, " Error: Cannot create file %s.\n", edgefilename); - exit(1); - } - /* Number of edges, number of boundary markers (zero or one). */ - fprintf(outfile, "%ld %d\n", m->edges, 1 - b->nobound); -#endif /* not TRILIBRARY */ - - traversalinit(&m->triangles); - triangleloop.tri = triangletraverse(m); - edgenumber = b->firstnumber; - /* To loop over the set of edges, loop over all triangles, and look at */ - /* the three edges of each triangle. If there isn't another triangle */ - /* adjacent to the edge, operate on the edge. If there is another */ - /* adjacent triangle, operate on the edge only if the current triangle */ - /* has a smaller pointer than its neighbor. This way, each edge is */ - /* considered only once. */ - while (triangleloop.tri != (triangle *) NULL) { - for (triangleloop.orient = 0; triangleloop.orient < 3; - triangleloop.orient++) { - sym(triangleloop, trisym); - if ((triangleloop.tri < trisym.tri) || (trisym.tri == m->dummytri)) { - org(triangleloop, p1); - dest(triangleloop, p2); -#ifdef TRILIBRARY - elist[index++] = vertexmark(p1); - elist[index++] = vertexmark(p2); -#endif /* TRILIBRARY */ - if (b->nobound) { -#ifndef TRILIBRARY - /* Edge number, indices of two endpoints. */ - fprintf(outfile, "%4ld %d %d\n", edgenumber, - vertexmark(p1), vertexmark(p2)); -#endif /* not TRILIBRARY */ - } else { - /* Edge number, indices of two endpoints, and a boundary marker. */ - /* If there's no subsegment, the boundary marker is zero. */ - if (b->usesegments) { - tspivot(triangleloop, checkmark); - if (checkmark.ss == m->dummysub) { -#ifdef TRILIBRARY - emlist[edgenumber - b->firstnumber] = 0; -#else /* not TRILIBRARY */ - fprintf(outfile, "%4ld %d %d %d\n", edgenumber, - vertexmark(p1), vertexmark(p2), 0); -#endif /* not TRILIBRARY */ - } else { -#ifdef TRILIBRARY - emlist[edgenumber - b->firstnumber] = mark(checkmark); -#else /* not TRILIBRARY */ - fprintf(outfile, "%4ld %d %d %d\n", edgenumber, - vertexmark(p1), vertexmark(p2), mark(checkmark)); -#endif /* not TRILIBRARY */ - } - } else { -#ifdef TRILIBRARY - emlist[edgenumber - b->firstnumber] = trisym.tri == m->dummytri; -#else /* not TRILIBRARY */ - fprintf(outfile, "%4ld %d %d %d\n", edgenumber, - vertexmark(p1), vertexmark(p2), trisym.tri == m->dummytri); -#endif /* not TRILIBRARY */ - } - } - edgenumber++; - } - } - triangleloop.tri = triangletraverse(m); - } - -#ifndef TRILIBRARY - finishfile(outfile, argc, argv); -#endif /* not TRILIBRARY */ -} - -/*****************************************************************************/ -/* */ -/* writevoronoi() Write the Voronoi diagram to a .v.node and .v.edge */ -/* file. */ -/* */ -/* The Voronoi diagram is the geometric dual of the Delaunay triangulation. */ -/* Hence, the Voronoi vertices are listed by traversing the Delaunay */ -/* triangles, and the Voronoi edges are listed by traversing the Delaunay */ -/* edges. */ -/* */ -/* WARNING: In order to assign numbers to the Voronoi vertices, this */ -/* procedure messes up the subsegments or the extra nodes of every */ -/* element. Hence, you should call this procedure last. */ -/* */ -/*****************************************************************************/ - -#ifdef TRILIBRARY - -#ifdef ANSI_DECLARATORS -void writevoronoi(struct mesh *m, struct behavior *b, REAL **vpointlist, - REAL **vpointattriblist, int **vpointmarkerlist, - int **vedgelist, int **vedgemarkerlist, REAL **vnormlist) -#else /* not ANSI_DECLARATORS */ -void writevoronoi(m, b, vpointlist, vpointattriblist, vpointmarkerlist, - vedgelist, vedgemarkerlist, vnormlist) -struct mesh *m; -struct behavior *b; -REAL **vpointlist; -REAL **vpointattriblist; -int **vpointmarkerlist; -int **vedgelist; -int **vedgemarkerlist; -REAL **vnormlist; -#endif /* not ANSI_DECLARATORS */ - -#else /* not TRILIBRARY */ - -#ifdef ANSI_DECLARATORS -void writevoronoi(struct mesh *m, struct behavior *b, char *vnodefilename, - char *vedgefilename, int argc, char **argv) -#else /* not ANSI_DECLARATORS */ -void writevoronoi(m, b, vnodefilename, vedgefilename, argc, argv) -struct mesh *m; -struct behavior *b; -char *vnodefilename; -char *vedgefilename; -int argc; -char **argv; -#endif /* not ANSI_DECLARATORS */ - -#endif /* not TRILIBRARY */ - -{ -#ifdef TRILIBRARY - REAL *plist; - REAL *palist; - int *elist; - REAL *normlist; - int coordindex; - int attribindex; -#else /* not TRILIBRARY */ - FILE *outfile; -#endif /* not TRILIBRARY */ - struct otri triangleloop, trisym; - vertex torg, tdest, tapex; - REAL circumcenter[2]; - REAL xi, eta; - REAL dum; - long vnodenumber, vedgenumber; - int p1, p2; - int i; - triangle ptr; /* Temporary variable used by sym(). */ - -#ifdef TRILIBRARY - if (!b->quiet) { - fprintf(stderr, "Writing Voronoi vertices.\n"); - } - /* Allocate memory for Voronoi vertices if necessary. */ - if (*vpointlist == (REAL *) NULL) { - *vpointlist = (REAL *) trimalloc(m->triangles.items * 2 * sizeof(REAL)); - } - /* Allocate memory for Voronoi vertex attributes if necessary. */ - if (*vpointattriblist == (REAL *) NULL) { - *vpointattriblist = (REAL *) trimalloc(m->triangles.items * m->nextras * - sizeof(REAL)); - } - *vpointmarkerlist = (int *) NULL; - plist = *vpointlist; - palist = *vpointattriblist; - coordindex = 0; - attribindex = 0; -#else /* not TRILIBRARY */ - if (!b->quiet) { - fprintf(stderr, "Writing %s.\n", vnodefilename); - } - outfile = fopen(vnodefilename, "w"); - if (outfile == (FILE *) NULL) { - fprintf(stderr, " Error: Cannot create file %s.\n", vnodefilename); - exit(1); - } - /* Number of triangles, two dimensions, number of vertex attributes, */ - /* no markers. */ - fprintf(outfile, "%ld %d %d %d\n", m->triangles.items, 2, m->nextras, 0); -#endif /* not TRILIBRARY */ - - traversalinit(&m->triangles); - triangleloop.tri = triangletraverse(m); - triangleloop.orient = 0; - vnodenumber = b->firstnumber; - while (triangleloop.tri != (triangle *) NULL) { - org(triangleloop, torg); - dest(triangleloop, tdest); - apex(triangleloop, tapex); - findcircumcenter(m, b, torg, tdest, tapex, circumcenter, &xi, &eta, &dum); -#ifdef TRILIBRARY - /* X and y coordinates. */ - plist[coordindex++] = circumcenter[0]; - plist[coordindex++] = circumcenter[1]; - for (i = 2; i < 2 + m->nextras; i++) { - /* Interpolate the vertex attributes at the circumcenter. */ - palist[attribindex++] = torg[i] + xi * (tdest[i] - torg[i]) - + eta * (tapex[i] - torg[i]); - } -#else /* not TRILIBRARY */ - /* Voronoi vertex number, x and y coordinates. */ - fprintf(outfile, "%4ld %.17g %.17g", vnodenumber, circumcenter[0], - circumcenter[1]); - for (i = 2; i < 2 + m->nextras; i++) { - /* Interpolate the vertex attributes at the circumcenter. */ - fprintf(outfile, " %.17g", torg[i] + xi * (tdest[i] - torg[i]) - + eta * (tapex[i] - torg[i])); - } - fprintf(outfile, "\n"); -#endif /* not TRILIBRARY */ - - * (int *) (triangleloop.tri + 6) = (int) vnodenumber; - triangleloop.tri = triangletraverse(m); - vnodenumber++; - } - -#ifndef TRILIBRARY - finishfile(outfile, argc, argv); -#endif /* not TRILIBRARY */ - -#ifdef TRILIBRARY - if (!b->quiet) { - fprintf(stderr, "Writing Voronoi edges.\n"); - } - /* Allocate memory for output Voronoi edges if necessary. */ - if (*vedgelist == (int *) NULL) { - *vedgelist = (int *) trimalloc(m->edges * 2 * sizeof(int)); - } - *vedgemarkerlist = (int *) NULL; - /* Allocate memory for output Voronoi norms if necessary. */ - if (*vnormlist == (REAL *) NULL) { - *vnormlist = (REAL *) trimalloc(m->edges * 2 * sizeof(REAL)); - } - elist = *vedgelist; - normlist = *vnormlist; - coordindex = 0; -#else /* not TRILIBRARY */ - if (!b->quiet) { - fprintf(stderr, "Writing %s.\n", vedgefilename); - } - outfile = fopen(vedgefilename, "w"); - if (outfile == (FILE *) NULL) { - fprintf(stderr, " Error: Cannot create file %s.\n", vedgefilename); - exit(1); - } - /* Number of edges, zero boundary markers. */ - fprintf(outfile, "%ld %d\n", m->edges, 0); -#endif /* not TRILIBRARY */ - - traversalinit(&m->triangles); - triangleloop.tri = triangletraverse(m); - vedgenumber = b->firstnumber; - /* To loop over the set of edges, loop over all triangles, and look at */ - /* the three edges of each triangle. If there isn't another triangle */ - /* adjacent to the edge, operate on the edge. If there is another */ - /* adjacent triangle, operate on the edge only if the current triangle */ - /* has a smaller pointer than its neighbor. This way, each edge is */ - /* considered only once. */ - while (triangleloop.tri != (triangle *) NULL) { - for (triangleloop.orient = 0; triangleloop.orient < 3; - triangleloop.orient++) { - sym(triangleloop, trisym); - if ((triangleloop.tri < trisym.tri) || (trisym.tri == m->dummytri)) { - /* Find the number of this triangle (and Voronoi vertex). */ - p1 = * (int *) (triangleloop.tri + 6); - if (trisym.tri == m->dummytri) { - org(triangleloop, torg); - dest(triangleloop, tdest); -#ifdef TRILIBRARY - /* Copy an infinite ray. Index of one endpoint, and -1. */ - elist[coordindex] = p1; - normlist[coordindex++] = tdest[1] - torg[1]; - elist[coordindex] = -1; - normlist[coordindex++] = torg[0] - tdest[0]; -#else /* not TRILIBRARY */ - /* Write an infinite ray. Edge number, index of one endpoint, -1, */ - /* and x and y coordinates of a vector representing the */ - /* direction of the ray. */ - fprintf(outfile, "%4ld %d %d %.17g %.17g\n", vedgenumber, - p1, -1, tdest[1] - torg[1], torg[0] - tdest[0]); -#endif /* not TRILIBRARY */ - } else { - /* Find the number of the adjacent triangle (and Voronoi vertex). */ - p2 = * (int *) (trisym.tri + 6); - /* Finite edge. Write indices of two endpoints. */ -#ifdef TRILIBRARY - elist[coordindex] = p1; - normlist[coordindex++] = 0.0; - elist[coordindex] = p2; - normlist[coordindex++] = 0.0; -#else /* not TRILIBRARY */ - fprintf(outfile, "%4ld %d %d\n", vedgenumber, p1, p2); -#endif /* not TRILIBRARY */ - } - vedgenumber++; - } - } - triangleloop.tri = triangletraverse(m); - } - -#ifndef TRILIBRARY - finishfile(outfile, argc, argv); -#endif /* not TRILIBRARY */ -} - -#ifdef TRILIBRARY - -#ifdef ANSI_DECLARATORS -void writeneighbors(struct mesh *m, struct behavior *b, int **neighborlist) -#else /* not ANSI_DECLARATORS */ -void writeneighbors(m, b, neighborlist) -struct mesh *m; -struct behavior *b; -int **neighborlist; -#endif /* not ANSI_DECLARATORS */ - -#else /* not TRILIBRARY */ - -#ifdef ANSI_DECLARATORS -void writeneighbors(struct mesh *m, struct behavior *b, char *neighborfilename, - int argc, char **argv) -#else /* not ANSI_DECLARATORS */ -void writeneighbors(m, b, neighborfilename, argc, argv) -struct mesh *m; -struct behavior *b; -char *neighborfilename; -int argc; -char **argv; -#endif /* not ANSI_DECLARATORS */ - -#endif /* not TRILIBRARY */ - -{ -#ifdef TRILIBRARY - int *nlist; - int index; -#else /* not TRILIBRARY */ - FILE *outfile; -#endif /* not TRILIBRARY */ - struct otri triangleloop, trisym; - long elementnumber; - int neighbor1, neighbor2, neighbor3; - triangle ptr; /* Temporary variable used by sym(). */ - -#ifdef TRILIBRARY - if (!b->quiet) { - fprintf(stderr, "Writing neighbors.\n"); - } - /* Allocate memory for neighbors if necessary. */ - if (*neighborlist == (int *) NULL) { - *neighborlist = (int *) trimalloc(m->triangles.items * 3 * sizeof(int)); - } - nlist = *neighborlist; - index = 0; -#else /* not TRILIBRARY */ - if (!b->quiet) { - fprintf(stderr, "Writing %s.\n", neighborfilename); - } - outfile = fopen(neighborfilename, "w"); - if (outfile == (FILE *) NULL) { - fprintf(stderr, " Error: Cannot create file %s.\n", neighborfilename); - exit(1); - } - /* Number of triangles, three neighbors per triangle. */ - fprintf(outfile, "%ld %d\n", m->triangles.items, 3); -#endif /* not TRILIBRARY */ - - traversalinit(&m->triangles); - triangleloop.tri = triangletraverse(m); - triangleloop.orient = 0; - elementnumber = b->firstnumber; - while (triangleloop.tri != (triangle *) NULL) { - * (int *) (triangleloop.tri + 6) = (int) elementnumber; - triangleloop.tri = triangletraverse(m); - elementnumber++; - } - * (int *) (m->dummytri + 6) = -1; - - traversalinit(&m->triangles); - triangleloop.tri = triangletraverse(m); - elementnumber = b->firstnumber; - while (triangleloop.tri != (triangle *) NULL) { - triangleloop.orient = 1; - sym(triangleloop, trisym); - neighbor1 = * (int *) (trisym.tri + 6); - triangleloop.orient = 2; - sym(triangleloop, trisym); - neighbor2 = * (int *) (trisym.tri + 6); - triangleloop.orient = 0; - sym(triangleloop, trisym); - neighbor3 = * (int *) (trisym.tri + 6); -#ifdef TRILIBRARY - nlist[index++] = neighbor1; - nlist[index++] = neighbor2; - nlist[index++] = neighbor3; -#else /* not TRILIBRARY */ - /* Triangle number, neighboring triangle numbers. */ - fprintf(outfile, "%4ld %d %d %d\n", elementnumber, - neighbor1, neighbor2, neighbor3); -#endif /* not TRILIBRARY */ - - triangleloop.tri = triangletraverse(m); - elementnumber++; - } - -#ifndef TRILIBRARY - finishfile(outfile, argc, argv); -#endif /* not TRILIBRARY */ -} - -/*****************************************************************************/ -/* */ -/* writeoff() Write the triangulation to an .off file. */ -/* */ -/* OFF stands for the Object File Format, a format used by the Geometry */ -/* Center's Geomview package. */ -/* */ -/*****************************************************************************/ - -#ifndef TRILIBRARY - -#ifdef ANSI_DECLARATORS -void writeoff(struct mesh *m, struct behavior *b, char *offfilename, - int argc, char **argv) -#else /* not ANSI_DECLARATORS */ -void writeoff(m, b, offfilename, argc, argv) -struct mesh *m; -struct behavior *b; -char *offfilename; -int argc; -char **argv; -#endif /* not ANSI_DECLARATORS */ - -{ - FILE *outfile; - struct otri triangleloop; - vertex vertexloop; - vertex p1, p2, p3; - long outvertices; - - if (!b->quiet) { - fprintf(stderr, "Writing %s.\n", offfilename); - } - - if (b->jettison) { - outvertices = m->vertices.items - m->undeads; - } else { - outvertices = m->vertices.items; - } - - outfile = fopen(offfilename, "w"); - if (outfile == (FILE *) NULL) { - fprintf(stderr, " Error: Cannot create file %s.\n", offfilename); - exit(1); - } - /* Number of vertices, triangles, and edges. */ - fprintf(outfile, "OFF\n%ld %ld %ld\n", outvertices, m->triangles.items, - m->edges); - - /* Write the vertices. */ - traversalinit(&m->vertices); - vertexloop = vertextraverse(m); - while (vertexloop != (vertex) NULL) { - if (!b->jettison || (vertextype(vertexloop) != UNDEADVERTEX)) { - /* The "0.0" is here because the OFF format uses 3D coordinates. */ - fprintf(outfile, " %.17g %.17g %.17g\n", vertexloop[0], vertexloop[1], - 0.0); - } - vertexloop = vertextraverse(m); - } - - /* Write the triangles. */ - traversalinit(&m->triangles); - triangleloop.tri = triangletraverse(m); - triangleloop.orient = 0; - while (triangleloop.tri != (triangle *) NULL) { - org(triangleloop, p1); - dest(triangleloop, p2); - apex(triangleloop, p3); - /* The "3" means a three-vertex polygon. */ - fprintf(outfile, " 3 %4d %4d %4d\n", vertexmark(p1) - 1, - vertexmark(p2) - 1, vertexmark(p3) - 1); - triangleloop.tri = triangletraverse(m); - } - finishfile(outfile, argc, argv); -} - -#endif /* not TRILIBRARY */ - -/** **/ -/** **/ -/********* File I/O routines end here *********/ - -/*****************************************************************************/ -/* */ -/* quality_statistics() Print statistics about the quality of the mesh. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void quality_statistics(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void quality_statistics(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - struct otri triangleloop; - vertex p[3]; - REAL cossquaretable[8]; - REAL ratiotable[16]; - REAL dx[3], dy[3]; - REAL edgelength[3]; - REAL dotproduct; - REAL cossquare; - REAL triarea; - REAL shortest, longest; - REAL trilongest2; - REAL smallestarea, biggestarea; - REAL triminaltitude2; - REAL minaltitude; - REAL triaspect2; - REAL worstaspect; - REAL smallestangle, biggestangle; - REAL radconst, degconst; - int angletable[18]; - int aspecttable[16]; - int aspectindex; - int tendegree; - int acutebiggest; - int i, ii, j, k; - - fprintf(stderr, "Mesh quality statistics:\n\n"); - radconst = PI / 18.0; - degconst = 180.0 / PI; - for (i = 0; i < 8; i++) { - cossquaretable[i] = cos(radconst * (REAL) (i + 1)); - cossquaretable[i] = cossquaretable[i] * cossquaretable[i]; - } - for (i = 0; i < 18; i++) { - angletable[i] = 0; - } - - ratiotable[0] = 1.5; ratiotable[1] = 2.0; - ratiotable[2] = 2.5; ratiotable[3] = 3.0; - ratiotable[4] = 4.0; ratiotable[5] = 6.0; - ratiotable[6] = 10.0; ratiotable[7] = 15.0; - ratiotable[8] = 25.0; ratiotable[9] = 50.0; - ratiotable[10] = 100.0; ratiotable[11] = 300.0; - ratiotable[12] = 1000.0; ratiotable[13] = 10000.0; - ratiotable[14] = 100000.0; ratiotable[15] = 0.0; - for (i = 0; i < 16; i++) { - aspecttable[i] = 0; - } - - worstaspect = 0.0; - minaltitude = m->xmax - m->xmin + m->ymax - m->ymin; - minaltitude = minaltitude * minaltitude; - shortest = minaltitude; - longest = 0.0; - smallestarea = minaltitude; - biggestarea = 0.0; - worstaspect = 0.0; - smallestangle = 0.0; - biggestangle = 2.0; - acutebiggest = 1; - - traversalinit(&m->triangles); - triangleloop.tri = triangletraverse(m); - triangleloop.orient = 0; - while (triangleloop.tri != (triangle *) NULL) { - org(triangleloop, p[0]); - dest(triangleloop, p[1]); - apex(triangleloop, p[2]); - trilongest2 = 0.0; - - for (i = 0; i < 3; i++) { - j = plus1mod3[i]; - k = minus1mod3[i]; - dx[i] = p[j][0] - p[k][0]; - dy[i] = p[j][1] - p[k][1]; - edgelength[i] = dx[i] * dx[i] + dy[i] * dy[i]; - if (edgelength[i] > trilongest2) { - trilongest2 = edgelength[i]; - } - if (edgelength[i] > longest) { - longest = edgelength[i]; - } - if (edgelength[i] < shortest) { - shortest = edgelength[i]; - } - } - - triarea = counterclockwise(m, b, p[0], p[1], p[2]); - if (triarea < smallestarea) { - smallestarea = triarea; - } - if (triarea > biggestarea) { - biggestarea = triarea; - } - triminaltitude2 = triarea * triarea / trilongest2; - if (triminaltitude2 < minaltitude) { - minaltitude = triminaltitude2; - } - triaspect2 = trilongest2 / triminaltitude2; - if (triaspect2 > worstaspect) { - worstaspect = triaspect2; - } - aspectindex = 0; - while ((triaspect2 > ratiotable[aspectindex] * ratiotable[aspectindex]) - && (aspectindex < 15)) { - aspectindex++; - } - aspecttable[aspectindex]++; - - for (i = 0; i < 3; i++) { - j = plus1mod3[i]; - k = minus1mod3[i]; - dotproduct = dx[j] * dx[k] + dy[j] * dy[k]; - cossquare = dotproduct * dotproduct / (edgelength[j] * edgelength[k]); - tendegree = 8; - for (ii = 7; ii >= 0; ii--) { - if (cossquare > cossquaretable[ii]) { - tendegree = ii; - } - } - if (dotproduct <= 0.0) { - angletable[tendegree]++; - if (cossquare > smallestangle) { - smallestangle = cossquare; - } - if (acutebiggest && (cossquare < biggestangle)) { - biggestangle = cossquare; - } - } else { - angletable[17 - tendegree]++; - if (acutebiggest || (cossquare > biggestangle)) { - biggestangle = cossquare; - acutebiggest = 0; - } - } - } - triangleloop.tri = triangletraverse(m); - } - - shortest = sqrt(shortest); - longest = sqrt(longest); - minaltitude = sqrt(minaltitude); - worstaspect = sqrt(worstaspect); - smallestarea *= 0.5; - biggestarea *= 0.5; - if (smallestangle >= 1.0) { - smallestangle = 0.0; - } else { - smallestangle = degconst * acos(sqrt(smallestangle)); - } - if (biggestangle >= 1.0) { - biggestangle = 180.0; - } else { - if (acutebiggest) { - biggestangle = degconst * acos(sqrt(biggestangle)); - } else { - biggestangle = 180.0 - degconst * acos(sqrt(biggestangle)); - } - } - - fprintf(stderr, " Smallest area: %16.5g | Largest area: %16.5g\n", - smallestarea, biggestarea); - fprintf(stderr, " Shortest edge: %16.5g | Longest edge: %16.5g\n", - shortest, longest); - fprintf(stderr, " Shortest altitude: %12.5g | Largest aspect ratio: %8.5g\n\n", - minaltitude, worstaspect); - - fprintf(stderr, " Triangle aspect ratio histogram:\n"); - fprintf(stderr, " 1.1547 - %-6.6g : %8d | %6.6g - %-6.6g : %8d\n", - ratiotable[0], aspecttable[0], ratiotable[7], ratiotable[8], - aspecttable[8]); - for (i = 1; i < 7; i++) { - fprintf(stderr, " %6.6g - %-6.6g : %8d | %6.6g - %-6.6g : %8d\n", - ratiotable[i - 1], ratiotable[i], aspecttable[i], - ratiotable[i + 7], ratiotable[i + 8], aspecttable[i + 8]); - } - fprintf(stderr, " %6.6g - %-6.6g : %8d | %6.6g - : %8d\n", - ratiotable[6], ratiotable[7], aspecttable[7], ratiotable[14], - aspecttable[15]); - fprintf(stderr, " (Aspect ratio is longest edge divided by shortest altitude)\n\n"); - - fprintf(stderr, " Smallest angle: %15.5g | Largest angle: %15.5g\n\n", - smallestangle, biggestangle); - - fprintf(stderr, " Angle histogram:\n"); - for (i = 0; i < 9; i++) { - fprintf(stderr, " %3d - %3d degrees: %8d | %3d - %3d degrees: %8d\n", - i * 10, i * 10 + 10, angletable[i], - i * 10 + 90, i * 10 + 100, angletable[i + 9]); - } - fprintf(stderr, "\n"); -} - -/*****************************************************************************/ -/* */ -/* statistics() Print all sorts of cool facts. */ -/* */ -/*****************************************************************************/ - -#ifdef ANSI_DECLARATORS -void statistics(struct mesh *m, struct behavior *b) -#else /* not ANSI_DECLARATORS */ -void statistics(m, b) -struct mesh *m; -struct behavior *b; -#endif /* not ANSI_DECLARATORS */ - -{ - fprintf(stderr, "\nStatistics:\n\n"); - fprintf(stderr, " Input vertices: %d\n", m->invertices); - if (b->refine) { - fprintf(stderr, " Input triangles: %d\n", m->inelements); - } - if (b->poly) { - fprintf(stderr, " Input segments: %d\n", m->insegments); - if (!b->refine) { - fprintf(stderr, " Input holes: %d\n", m->holes); - } - } - - fprintf(stderr, "\n Mesh vertices: %ld\n", m->vertices.items - m->undeads); - fprintf(stderr, " Mesh triangles: %ld\n", m->triangles.items); - fprintf(stderr, " Mesh edges: %ld\n", m->edges); - fprintf(stderr, " Mesh exterior boundary edges: %ld\n", m->hullsize); - if (b->poly || b->refine) { - fprintf(stderr, " Mesh interior boundary edges: %ld\n", - m->subsegs.items - m->hullsize); - fprintf(stderr, " Mesh subsegments (constrained edges): %ld\n", - m->subsegs.items); - } - fprintf(stderr, "\n"); - - if (b->verbose) { - quality_statistics(m, b); - fprintf(stderr, "Memory allocation statistics:\n\n"); - fprintf(stderr, " Maximum number of vertices: %ld\n", m->vertices.maxitems); - fprintf(stderr, " Maximum number of triangles: %ld\n", m->triangles.maxitems); - if (m->subsegs.maxitems > 0) { - fprintf(stderr, " Maximum number of subsegments: %ld\n", m->subsegs.maxitems); - } - if (m->viri.maxitems > 0) { - fprintf(stderr, " Maximum number of viri: %ld\n", m->viri.maxitems); - } - if (m->badsubsegs.maxitems > 0) { - fprintf(stderr, " Maximum number of encroached subsegments: %ld\n", - m->badsubsegs.maxitems); - } - if (m->badtriangles.maxitems > 0) { - fprintf(stderr, " Maximum number of bad triangles: %ld\n", - m->badtriangles.maxitems); - } - if (m->flipstackers.maxitems > 0) { - fprintf(stderr, " Maximum number of stacked triangle flips: %ld\n", - m->flipstackers.maxitems); - } - if (m->splaynodes.maxitems > 0) { - fprintf(stderr, " Maximum number of splay tree nodes: %ld\n", - m->splaynodes.maxitems); - } - fprintf(stderr, " Approximate heap memory use (bytes): %ld\n\n", - m->vertices.maxitems * m->vertices.itembytes + - m->triangles.maxitems * m->triangles.itembytes + - m->subsegs.maxitems * m->subsegs.itembytes + - m->viri.maxitems * m->viri.itembytes + - m->badsubsegs.maxitems * m->badsubsegs.itembytes + - m->badtriangles.maxitems * m->badtriangles.itembytes + - m->flipstackers.maxitems * m->flipstackers.itembytes + - m->splaynodes.maxitems * m->splaynodes.itembytes); - - fprintf(stderr, "Algorithmic statistics:\n\n"); - if (!b->weighted) { - fprintf(stderr, " Number of incircle tests: %ld\n", m->incirclecount); - } else { - fprintf(stderr, " Number of 3D orientation tests: %ld\n", m->orient3dcount); - } - fprintf(stderr, " Number of 2D orientation tests: %ld\n", m->counterclockcount); - if (m->hyperbolacount > 0) { - fprintf(stderr, " Number of right-of-hyperbola tests: %ld\n", - m->hyperbolacount); - } - if (m->circletopcount > 0) { - fprintf(stderr, " Number of circle top computations: %ld\n", - m->circletopcount); - } - if (m->circumcentercount > 0) { - fprintf(stderr, " Number of triangle circumcenter computations: %ld\n", - m->circumcentercount); - } - fprintf(stderr, "\n"); - } -} - -/*****************************************************************************/ -/* */ -/* main() or triangulate() Gosh, do everything. */ -/* */ -/* The sequence is roughly as follows. Many of these steps can be skipped, */ -/* depending on the command line switches. */ -/* */ -/* - Initialize constants and parse the command line. */ -/* - Read the vertices from a file and either */ -/* - triangulate them (no -r), or */ -/* - read an old mesh from files and reconstruct it (-r). */ -/* - Insert the PSLG segments (-p), and possibly segments on the convex */ -/* hull (-c). */ -/* - Read the holes (-p), regional attributes (-pA), and regional area */ -/* constraints (-pa). Carve the holes and concavities, and spread the */ -/* regional attributes and area constraints. */ -/* - Enforce the constraints on minimum angle (-q) and maximum area (-a). */ -/* Also enforce the conforming Delaunay property (-q and -a). */ -/* - Compute the number of edges in the resulting mesh. */ -/* - Promote the mesh's linear triangles to higher order elements (-o). */ -/* - Write the output files and print the statistics. */ -/* - Check the consistency and Delaunay property of the mesh (-C). */ -/* */ -/*****************************************************************************/ - -#ifdef TRILIBRARY - -#ifdef ANSI_DECLARATORS -void triangulate(char *triswitches, struct triangulateio *in, - struct triangulateio *out, struct triangulateio *vorout) -#else /* not ANSI_DECLARATORS */ -void triangulate(triswitches, in, out, vorout) -char *triswitches; -struct triangulateio *in; -struct triangulateio *out; -struct triangulateio *vorout; -#endif /* not ANSI_DECLARATORS */ - -#else /* not TRILIBRARY */ - -#ifdef ANSI_DECLARATORS -int main(int argc, char **argv) -#else /* not ANSI_DECLARATORS */ -int main(argc, argv) -int argc; -char **argv; -#endif /* not ANSI_DECLARATORS */ - -#endif /* not TRILIBRARY */ - -{ - struct mesh m; - struct behavior b; - REAL *holearray; /* Array of holes. */ - REAL *regionarray; /* Array of regional attributes and area constraints. */ -#ifndef TRILIBRARY - FILE *polyfile; -#endif /* not TRILIBRARY */ -#ifndef NO_TIMER - /* Variables for timing the performance of Triangle. The types are */ - /* defined in sys/time.h. */ - struct timeval tv0, tv1, tv2, tv3, tv4, tv5, tv6; - struct timezone tz; -#endif /* not NO_TIMER */ - -#ifndef NO_TIMER - gettimeofday(&tv0, &tz); -#endif /* not NO_TIMER */ - - triangleinit(&m); -#ifdef TRILIBRARY - parsecommandline(1, &triswitches, &b); -#else /* not TRILIBRARY */ - parsecommandline(argc, argv, &b); -#endif /* not TRILIBRARY */ - m.steinerleft = b.steiner; - -#ifdef TRILIBRARY - transfernodes(&m, &b, in->pointlist, in->pointattributelist, - in->pointmarkerlist, in->numberofpoints, - in->numberofpointattributes); -#else /* not TRILIBRARY */ - readnodes(&m, &b, b.innodefilename, b.inpolyfilename, &polyfile); -#endif /* not TRILIBRARY */ - -#ifndef NO_TIMER - if (!b.quiet) { - gettimeofday(&tv1, &tz); - } -#endif /* not NO_TIMER */ - -#ifdef CDT_ONLY - m.hullsize = delaunay(&m, &b); /* Triangulate the vertices. */ -#else /* not CDT_ONLY */ - if (b.refine) { - /* Read and reconstruct a mesh. */ -#ifdef TRILIBRARY - m.hullsize = reconstruct(&m, &b, in->trianglelist, - in->triangleattributelist, in->trianglearealist, - in->numberoftriangles, in->numberofcorners, - in->numberoftriangleattributes, - in->segmentlist, in->segmentmarkerlist, - in->numberofsegments); -#else /* not TRILIBRARY */ - m.hullsize = reconstruct(&m, &b, b.inelefilename, b.areafilename, - b.inpolyfilename, polyfile); -#endif /* not TRILIBRARY */ - } else { - m.hullsize = delaunay(&m, &b); /* Triangulate the vertices. */ - } -#endif /* not CDT_ONLY */ - -#ifndef NO_TIMER - if (!b.quiet) { - gettimeofday(&tv2, &tz); - if (b.refine) { - fprintf(stderr, "Mesh reconstruction"); - } else { - fprintf(stderr, "Delaunay"); - } - fprintf(stderr, " milliseconds: %ld\n", 1000l * (tv2.tv_sec - tv1.tv_sec) + - (tv2.tv_usec - tv1.tv_usec) / 1000l); - } -#endif /* not NO_TIMER */ - - /* Ensure that no vertex can be mistaken for a triangular bounding */ - /* box vertex in insertvertex(). */ - m.infvertex1 = (vertex) NULL; - m.infvertex2 = (vertex) NULL; - m.infvertex3 = (vertex) NULL; - - if (b.usesegments) { - m.checksegments = 1; /* Segments will be introduced next. */ - if (!b.refine) { - /* Insert PSLG segments and/or convex hull segments. */ -#ifdef TRILIBRARY - formskeleton(&m, &b, in->segmentlist, - in->segmentmarkerlist, in->numberofsegments); -#else /* not TRILIBRARY */ - formskeleton(&m, &b, polyfile, b.inpolyfilename); -#endif /* not TRILIBRARY */ - } - } - -#ifndef NO_TIMER - if (!b.quiet) { - gettimeofday(&tv3, &tz); - if (b.usesegments && !b.refine) { - fprintf(stderr, "Segment milliseconds: %ld\n", - 1000l * (tv3.tv_sec - tv2.tv_sec) + - (tv3.tv_usec - tv2.tv_usec) / 1000l); - } - } -#endif /* not NO_TIMER */ - - if (b.poly && (m.triangles.items > 0)) { -#ifdef TRILIBRARY - holearray = in->holelist; - m.holes = in->numberofholes; - regionarray = in->regionlist; - m.regions = in->numberofregions; -#else /* not TRILIBRARY */ - readholes(&m, &b, polyfile, b.inpolyfilename, &holearray, &m.holes, - ®ionarray, &m.regions); -#endif /* not TRILIBRARY */ - if (!b.refine) { - /* Carve out holes and concavities. */ - carveholes(&m, &b, holearray, m.holes, regionarray, m.regions); - } - } else { - /* Without a PSLG, there can be no holes or regional attributes */ - /* or area constraints. The following are set to zero to avoid */ - /* an accidental free() later. */ - m.holes = 0; - m.regions = 0; - } - -#ifndef NO_TIMER - if (!b.quiet) { - gettimeofday(&tv4, &tz); - if (b.poly && !b.refine) { - fprintf(stderr, "Hole milliseconds: %ld\n", 1000l * (tv4.tv_sec - tv3.tv_sec) + - (tv4.tv_usec - tv3.tv_usec) / 1000l); - } - } -#endif /* not NO_TIMER */ - -#ifndef CDT_ONLY - if (b.quality && (m.triangles.items > 0)) { - enforcequality(&m, &b); /* Enforce angle and area constraints. */ - } -#endif /* not CDT_ONLY */ - -#ifndef NO_TIMER - if (!b.quiet) { - gettimeofday(&tv5, &tz); -#ifndef CDT_ONLY - if (b.quality) { - fprintf(stderr, "Quality milliseconds: %ld\n", - 1000l * (tv5.tv_sec - tv4.tv_sec) + - (tv5.tv_usec - tv4.tv_usec) / 1000l); - } -#endif /* not CDT_ONLY */ - } -#endif /* not NO_TIMER */ - - /* Calculate the number of edges. */ - m.edges = (3l * m.triangles.items + m.hullsize) / 2l; - - if (b.order > 1) { - highorder(&m, &b); /* Promote elements to higher polynomial order. */ - } - if (!b.quiet) { - fprintf(stderr, "\n"); - } - -#ifdef TRILIBRARY - out->numberofpoints = m.vertices.items; - out->numberofpointattributes = m.nextras; - out->numberoftriangles = m.triangles.items; - out->numberofcorners = (b.order + 1) * (b.order + 2) / 2; - out->numberoftriangleattributes = m.eextras; - out->numberofedges = m.edges; - if (b.usesegments) { - out->numberofsegments = m.subsegs.items; - } else { - out->numberofsegments = m.hullsize; - } - if (vorout != (struct triangulateio *) NULL) { - vorout->numberofpoints = m.triangles.items; - vorout->numberofpointattributes = m.nextras; - vorout->numberofedges = m.edges; - } -#endif /* TRILIBRARY */ - /* If not using iteration numbers, don't write a .node file if one was */ - /* read, because the original one would be overwritten! */ - if (b.nonodewritten || (b.noiterationnum && m.readnodefile)) { - if (!b.quiet) { -#ifdef TRILIBRARY - fprintf(stderr, "NOT writing vertices.\n"); -#else /* not TRILIBRARY */ - fprintf(stderr, "NOT writing a .node file.\n"); -#endif /* not TRILIBRARY */ - } - numbernodes(&m, &b); /* We must remember to number the vertices. */ - } else { - /* writenodes() numbers the vertices too. */ -#ifdef TRILIBRARY - writenodes(&m, &b, &out->pointlist, &out->pointattributelist, - &out->pointmarkerlist); -#else /* not TRILIBRARY */ - writenodes(&m, &b, b.outnodefilename, argc, argv); -#endif /* TRILIBRARY */ - } - if (b.noelewritten) { - if (!b.quiet) { -#ifdef TRILIBRARY - fprintf(stderr, "NOT writing triangles.\n"); -#else /* not TRILIBRARY */ - fprintf(stderr, "NOT writing an .ele file.\n"); -#endif /* not TRILIBRARY */ - } - } else { -#ifdef TRILIBRARY - writeelements(&m, &b, &out->trianglelist, &out->triangleattributelist); -#else /* not TRILIBRARY */ - writeelements(&m, &b, b.outelefilename, argc, argv); -#endif /* not TRILIBRARY */ - } - /* The -c switch (convex switch) causes a PSLG to be written */ - /* even if none was read. */ - if (b.poly || b.convex) { - /* If not using iteration numbers, don't overwrite the .poly file. */ - if (b.nopolywritten || b.noiterationnum) { - if (!b.quiet) { -#ifdef TRILIBRARY - fprintf(stderr, "NOT writing segments.\n"); -#else /* not TRILIBRARY */ - fprintf(stderr, "NOT writing a .poly file.\n"); -#endif /* not TRILIBRARY */ - } - } else { -#ifdef TRILIBRARY - writepoly(&m, &b, &out->segmentlist, &out->segmentmarkerlist); - out->numberofholes = m.holes; - out->numberofregions = m.regions; - if (b.poly) { - out->holelist = in->holelist; - out->regionlist = in->regionlist; - } else { - out->holelist = (REAL *) NULL; - out->regionlist = (REAL *) NULL; - } -#else /* not TRILIBRARY */ - writepoly(&m, &b, b.outpolyfilename, holearray, m.holes, regionarray, - m.regions, argc, argv); -#endif /* not TRILIBRARY */ - } - } -#ifndef TRILIBRARY -#ifndef CDT_ONLY - if (m.regions > 0) { - trifree((VOID *) regionarray); - } -#endif /* not CDT_ONLY */ - if (m.holes > 0) { - trifree((VOID *) holearray); - } - if (b.geomview) { - writeoff(&m, &b, b.offfilename, argc, argv); - } -#endif /* not TRILIBRARY */ - if (b.edgesout) { -#ifdef TRILIBRARY - writeedges(&m, &b, &out->edgelist, &out->edgemarkerlist); -#else /* not TRILIBRARY */ - writeedges(&m, &b, b.edgefilename, argc, argv); -#endif /* not TRILIBRARY */ - } - if (b.voronoi) { -#ifdef TRILIBRARY - writevoronoi(&m, &b, &vorout->pointlist, &vorout->pointattributelist, - &vorout->pointmarkerlist, &vorout->edgelist, - &vorout->edgemarkerlist, &vorout->normlist); -#else /* not TRILIBRARY */ - writevoronoi(&m, &b, b.vnodefilename, b.vedgefilename, argc, argv); -#endif /* not TRILIBRARY */ - } - if (b.neighbors) { -#ifdef TRILIBRARY - writeneighbors(&m, &b, &out->neighborlist); -#else /* not TRILIBRARY */ - writeneighbors(&m, &b, b.neighborfilename, argc, argv); -#endif /* not TRILIBRARY */ - } - - if (!b.quiet) { -#ifndef NO_TIMER - gettimeofday(&tv6, &tz); - fprintf(stderr, "\nOutput milliseconds: %ld\n", - 1000l * (tv6.tv_sec - tv5.tv_sec) + - (tv6.tv_usec - tv5.tv_usec) / 1000l); - fprintf(stderr, "Total running milliseconds: %ld\n", - 1000l * (tv6.tv_sec - tv0.tv_sec) + - (tv6.tv_usec - tv0.tv_usec) / 1000l); -#endif /* not NO_TIMER */ - - statistics(&m, &b); - } - -#ifndef REDUCED - if (b.docheck) { - checkmesh(&m, &b); - checkdelaunay(&m, &b); - } -#endif /* not REDUCED */ - - triangledeinit(&m, &b); -#ifndef TRILIBRARY - return 0; -#endif /* not TRILIBRARY */ -} diff --git a/autoarray/util/nn/src/nn/triangle.h b/autoarray/util/nn/src/nn/triangle.h deleted file mode 100644 index 5b17f96f6..000000000 --- a/autoarray/util/nn/src/nn/triangle.h +++ /dev/null @@ -1,288 +0,0 @@ -/*****************************************************************************/ -/* */ -/* (triangle.h) */ -/* */ -/* Include file for programs that call Triangle. */ -/* */ -/* Accompanies Triangle Versions 1.3 and 1.4 */ -/* July 19, 1996 */ -/* */ -/* Copyright 1996 */ -/* Jonathan Richard Shewchuk */ -/* 2360 Woolsey #H */ -/* Berkeley, California 94705-1927 */ -/* jrs@cs.berkeley.edu */ -/* */ -/*****************************************************************************/ - -/*****************************************************************************/ -/* */ -/* How to call Triangle from another program */ -/* */ -/* */ -/* If you haven't read Triangle's instructions (run "triangle -h" to read */ -/* them), you won't understand what follows. */ -/* */ -/* Triangle must be compiled into an object file (triangle.o) with the */ -/* TRILIBRARY symbol defined (preferably by using the -DTRILIBRARY compiler */ -/* switch). The makefile included with Triangle will do this for you if */ -/* you run "make trilibrary". The resulting object file can be called via */ -/* the procedure triangulate(). */ -/* */ -/* If the size of the object file is important to you, you may wish to */ -/* generate a reduced version of triangle.o. The REDUCED symbol gets rid */ -/* of all features that are primarily of research interest. Specifically, */ -/* the -DREDUCED switch eliminates Triangle's -i, -F, -s, and -C switches. */ -/* The CDT_ONLY symbol gets rid of all meshing algorithms above and beyond */ -/* constrained Delaunay triangulation. Specifically, the -DCDT_ONLY switch */ -/* eliminates Triangle's -r, -q, -a, -S, and -s switches. */ -/* */ -/* IMPORTANT: These definitions (TRILIBRARY, REDUCED, CDT_ONLY) must be */ -/* made in the makefile or in triangle.c itself. Putting these definitions */ -/* in this file will not create the desired effect. */ -/* */ -/* */ -/* The calling convention for triangulate() follows. */ -/* */ -/* void triangulate(triswitches, in, out, vorout) */ -/* char *triswitches; */ -/* struct triangulateio *in; */ -/* struct triangulateio *out; */ -/* struct triangulateio *vorout; */ -/* */ -/* `triswitches' is a string containing the command line switches you wish */ -/* to invoke. No initial dash is required. Some suggestions: */ -/* */ -/* - You'll probably find it convenient to use the `z' switch so that */ -/* points (and other items) are numbered from zero. This simplifies */ -/* indexing, because the first item of any type always starts at index */ -/* [0] of the corresponding array, whether that item's number is zero or */ -/* one. */ -/* - You'll probably want to use the `Q' (quiet) switch in your final code, */ -/* but you can take advantage of Triangle's printed output (including the */ -/* `V' switch) while debugging. */ -/* - If you are not using the `q' or `a' switches, then the output points */ -/* will be identical to the input points, except possibly for the */ -/* boundary markers. If you don't need the boundary markers, you should */ -/* use the `N' (no nodes output) switch to save memory. (If you do need */ -/* boundary markers, but need to save memory, a good nasty trick is to */ -/* set out->pointlist equal to in->pointlist before calling triangulate(),*/ -/* so that Triangle overwrites the input points with identical copies.) */ -/* - The `I' (no iteration numbers) and `g' (.off file output) switches */ -/* have no effect when Triangle is compiled with TRILIBRARY defined. */ -/* */ -/* `in', `out', and `vorout' are descriptions of the input, the output, */ -/* and the Voronoi output. If the `v' (Voronoi output) switch is not used, */ -/* `vorout' may be NULL. `in' and `out' may never be NULL. */ -/* */ -/* Certain fields of the input and output structures must be initialized, */ -/* as described below. */ -/* */ -/*****************************************************************************/ - -/*****************************************************************************/ -/* */ -/* The `triangulateio' structure. */ -/* */ -/* Used to pass data into and out of the triangulate() procedure. */ -/* */ -/* */ -/* Arrays are used to store points, triangles, markers, and so forth. In */ -/* all cases, the first item in any array is stored starting at index [0]. */ -/* However, that item is item number `1' unless the `z' switch is used, in */ -/* which case it is item number `0'. Hence, you may find it easier to */ -/* index points (and triangles in the neighbor list) if you use the `z' */ -/* switch. Unless, of course, you're calling Triangle from a Fortran */ -/* program. */ -/* */ -/* Description of fields (except the `numberof' fields, which are obvious): */ -/* */ -/* `pointlist': An array of point coordinates. The first point's x */ -/* coordinate is at index [0] and its y coordinate at index [1], followed */ -/* by the coordinates of the remaining points. Each point occupies two */ -/* REALs. */ -/* `pointattributelist': An array of point attributes. Each point's */ -/* attributes occupy `numberofpointattributes' REALs. */ -/* `pointmarkerlist': An array of point markers; one int per point. */ -/* */ -/* `trianglelist': An array of triangle corners. The first triangle's */ -/* first corner is at index [0], followed by its other two corners in */ -/* counterclockwise order, followed by any other nodes if the triangle */ -/* represents a nonlinear element. Each triangle occupies */ -/* `numberofcorners' ints. */ -/* `triangleattributelist': An array of triangle attributes. Each */ -/* triangle's attributes occupy `numberoftriangleattributes' REALs. */ -/* `trianglearealist': An array of triangle area constraints; one REAL per */ -/* triangle. Input only. */ -/* `neighborlist': An array of triangle neighbors; three ints per */ -/* triangle. Output only. */ -/* */ -/* `segmentlist': An array of segment endpoints. The first segment's */ -/* endpoints are at indices [0] and [1], followed by the remaining */ -/* segments. Two ints per segment. */ -/* `segmentmarkerlist': An array of segment markers; one int per segment. */ -/* */ -/* `holelist': An array of holes. The first hole's x and y coordinates */ -/* are at indices [0] and [1], followed by the remaining holes. Two */ -/* REALs per hole. Input only, although the pointer is copied to the */ -/* output structure for your convenience. */ -/* */ -/* `regionlist': An array of regional attributes and area constraints. */ -/* The first constraint's x and y coordinates are at indices [0] and [1], */ -/* followed by the regional attribute and index [2], followed by the */ -/* maximum area at index [3], followed by the remaining area constraints. */ -/* Four REALs per area constraint. Note that each regional attribute is */ -/* used only if you select the `A' switch, and each area constraint is */ -/* used only if you select the `a' switch (with no number following), but */ -/* omitting one of these switches does not change the memory layout. */ -/* Input only, although the pointer is copied to the output structure for */ -/* your convenience. */ -/* */ -/* `edgelist': An array of edge endpoints. The first edge's endpoints are */ -/* at indices [0] and [1], followed by the remaining edges. Two ints per */ -/* edge. Output only. */ -/* `edgemarkerlist': An array of edge markers; one int per edge. Output */ -/* only. */ -/* `normlist': An array of normal vectors, used for infinite rays in */ -/* Voronoi diagrams. The first normal vector's x and y magnitudes are */ -/* at indices [0] and [1], followed by the remaining vectors. For each */ -/* finite edge in a Voronoi diagram, the normal vector written is the */ -/* zero vector. Two REALs per edge. Output only. */ -/* */ -/* */ -/* Any input fields that Triangle will examine must be initialized. */ -/* Furthermore, for each output array that Triangle will write to, you */ -/* must either provide space by setting the appropriate pointer to point */ -/* to the space you want the data written to, or you must initialize the */ -/* pointer to NULL, which tells Triangle to allocate space for the results. */ -/* The latter option is preferable, because Triangle always knows exactly */ -/* how much space to allocate. The former option is provided mainly for */ -/* people who need to call Triangle from Fortran code, though it also makes */ -/* possible some nasty space-saving tricks, like writing the output to the */ -/* same arrays as the input. */ -/* */ -/* Triangle will not free() any input or output arrays, including those it */ -/* allocates itself; that's up to you. */ -/* */ -/* Here's a guide to help you decide which fields you must initialize */ -/* before you call triangulate(). */ -/* */ -/* `in': */ -/* */ -/* - `pointlist' must always point to a list of points; `numberofpoints' */ -/* and `numberofpointattributes' must be properly set. */ -/* `pointmarkerlist' must either be set to NULL (in which case all */ -/* markers default to zero), or must point to a list of markers. If */ -/* `numberofpointattributes' is not zero, `pointattributelist' must */ -/* point to a list of point attributes. */ -/* - If the `r' switch is used, `trianglelist' must point to a list of */ -/* triangles, and `numberoftriangles', `numberofcorners', and */ -/* `numberoftriangleattributes' must be properly set. If */ -/* `numberoftriangleattributes' is not zero, `triangleattributelist' */ -/* must point to a list of triangle attributes. If the `a' switch is */ -/* used (with no number following), `trianglearealist' must point to a */ -/* list of triangle area constraints. `neighborlist' may be ignored. */ -/* - If the `p' switch is used, `segmentlist' must point to a list of */ -/* segments, `numberofsegments' must be properly set, and */ -/* `segmentmarkerlist' must either be set to NULL (in which case all */ -/* markers default to zero), or must point to a list of markers. */ -/* - If the `p' switch is used without the `r' switch, then */ -/* `numberofholes' and `numberofregions' must be properly set. If */ -/* `numberofholes' is not zero, `holelist' must point to a list of */ -/* holes. If `numberofregions' is not zero, `regionlist' must point to */ -/* a list of region constraints. */ -/* - If the `p' switch is used, `holelist', `numberofholes', */ -/* `regionlist', and `numberofregions' is copied to `out'. (You can */ -/* nonetheless get away with not initializing them if the `r' switch is */ -/* used.) */ -/* - `edgelist', `edgemarkerlist', `normlist', and `numberofedges' may be */ -/* ignored. */ -/* */ -/* `out': */ -/* */ -/* - `pointlist' must be initialized (NULL or pointing to memory) unless */ -/* the `N' switch is used. `pointmarkerlist' must be initialized */ -/* unless the `N' or `B' switch is used. If `N' is not used and */ -/* `in->numberofpointattributes' is not zero, `pointattributelist' must */ -/* be initialized. */ -/* - `trianglelist' must be initialized unless the `E' switch is used. */ -/* `neighborlist' must be initialized if the `n' switch is used. If */ -/* the `E' switch is not used and (`in->numberofelementattributes' is */ -/* not zero or the `A' switch is used), `elementattributelist' must be */ -/* initialized. `trianglearealist' may be ignored. */ -/* - `segmentlist' must be initialized if the `p' or `c' switch is used, */ -/* and the `P' switch is not used. `segmentmarkerlist' must also be */ -/* initialized under these circumstances unless the `B' switch is used. */ -/* - `edgelist' must be initialized if the `e' switch is used. */ -/* `edgemarkerlist' must be initialized if the `e' switch is used and */ -/* the `B' switch is not. */ -/* - `holelist', `regionlist', `normlist', and all scalars may be ignored.*/ -/* */ -/* `vorout' (only needed if `v' switch is used): */ -/* */ -/* - `pointlist' must be initialized. If `in->numberofpointattributes' */ -/* is not zero, `pointattributelist' must be initialized. */ -/* `pointmarkerlist' may be ignored. */ -/* - `edgelist' and `normlist' must both be initialized. */ -/* `edgemarkerlist' may be ignored. */ -/* - Everything else may be ignored. */ -/* */ -/* After a call to triangulate(), the valid fields of `out' and `vorout' */ -/* will depend, in an obvious way, on the choice of switches used. Note */ -/* that when the `p' switch is used, the pointers `holelist' and */ -/* `regionlist' are copied from `in' to `out', but no new space is */ -/* allocated; be careful that you don't free() the same array twice. On */ -/* the other hand, Triangle will never copy the `pointlist' pointer (or any */ -/* others); new space is allocated for `out->pointlist', or if the `N' */ -/* switch is used, `out->pointlist' remains uninitialized. */ -/* */ -/* All of the meaningful `numberof' fields will be properly set; for */ -/* instance, `numberofedges' will represent the number of edges in the */ -/* triangulation whether or not the edges were written. If segments are */ -/* not used, `numberofsegments' will indicate the number of boundary edges. */ -/* */ -/*****************************************************************************/ - -#ifdef SINGLE -#define REAL float -#else /* not SINGLE */ -#define REAL double -#endif /* not SINGLE */ - -struct triangulateio { - REAL *pointlist; /* In / out */ - REAL *pointattributelist; /* In / out */ - int *pointmarkerlist; /* In / out */ - int numberofpoints; /* In / out */ - int numberofpointattributes; /* In / out */ - - int *trianglelist; /* In / out */ - REAL *triangleattributelist; /* In / out */ - REAL *trianglearealist; /* In only */ - int *neighborlist; /* Out only */ - int numberoftriangles; /* In / out */ - int numberofcorners; /* In / out */ - int numberoftriangleattributes; /* In / out */ - - int *segmentlist; /* In / out */ - int *segmentmarkerlist; /* In / out */ - int numberofsegments; /* In / out */ - - REAL *holelist; /* In / pointer to array copied out */ - int numberofholes; /* In / copied out */ - - REAL *regionlist; /* In / pointer to array copied out */ - int numberofregions; /* In / copied out */ - - int *edgelist; /* Out only */ - int *edgemarkerlist; /* Not used with Voronoi diagram; out only */ - REAL *normlist; /* Used only with Voronoi diagram; out only */ - int numberofedges; /* Out only */ -}; - -#ifdef ANSI_DECLARATORS -void triangulate(char *, struct triangulateio *, struct triangulateio *, - struct triangulateio *); -#else /* not ANSI_DECLARATORS */ -void triangulate(); -#endif /* not ANSI_DECLARATORS */ diff --git a/autoarray/util/nn/src/nn/version.c b/autoarray/util/nn/src/nn/version.c deleted file mode 100644 index 664f3a5e6..000000000 --- a/autoarray/util/nn/src/nn/version.c +++ /dev/null @@ -1,18 +0,0 @@ -/****************************************************************************** - * - * File: version.c - * - * Created: 05/05/2021 - * - * Author: Pavel Sakov - * BoM - * - * Purpose: NN library version. - * - * Description: NN library version. - * - * Revisions: None - * - *****************************************************************************/ - -char* nn_version = "2.0.6"; diff --git a/test_autoarray/config/general.yaml b/test_autoarray/config/general.yaml index 9525114ba..493b3a92c 100644 --- a/test_autoarray/config/general.yaml +++ b/test_autoarray/config/general.yaml @@ -18,8 +18,6 @@ numba: cache: true parallel: false use_numba: true -pixelization: - voronoi_nn_max_interpolation_neighbors: 300 profiling: perform: false repeats: 1 diff --git a/test_autoarray/config/visualize.yaml b/test_autoarray/config/visualize.yaml index d631ae7e9..1632c59a1 100644 --- a/test_autoarray/config/visualize.yaml +++ b/test_autoarray/config/visualize.yaml @@ -267,12 +267,3 @@ mat_wrap_2d: linewidth: 51 pivot: middle1 units: xy1 - VoronoiDrawer: - figure: - alpha: 0.7 - edgecolor: k - linewidth: 0.3 - subplot: - alpha: 0.5 - edgecolor: r - linewidth: 1.0 diff --git a/test_autoarray/conftest.py b/test_autoarray/conftest.py index bbfb6ea11..81708782c 100644 --- a/test_autoarray/conftest.py +++ b/test_autoarray/conftest.py @@ -256,11 +256,6 @@ def make_delaunay_mapper_9_3x3(): return fixtures.make_delaunay_mapper_9_3x3() -@pytest.fixture(name="voronoi_mapper_9_3x3") -def make_voronoi_mapper_9_3x3(): - return fixtures.make_voronoi_mapper_9_3x3() - - @pytest.fixture(name="rectangular_inversion_7x7_3x3") def make_rectangular_inversion_7x7_3x3(): return fixtures.make_rectangular_inversion_7x7_3x3() @@ -271,11 +266,6 @@ def make_delaunay_inversion_9_3x3(): return fixtures.make_delaunay_inversion_9_3x3() -@pytest.fixture(name="voronoi_inversion_9_3x3") -def make_voronoi_inversion_9_3x3(): - return fixtures.make_voronoi_inversion_9_3x3() - - @pytest.fixture(name="euclid_data") def make_euclid_data(): return fixtures.make_euclid_data() diff --git a/test_autoarray/inversion/inversion/test_abstract.py b/test_autoarray/inversion/inversion/test_abstract.py index 3eb481731..249a75f77 100644 --- a/test_autoarray/inversion/inversion/test_abstract.py +++ b/test_autoarray/inversion/inversion/test_abstract.py @@ -53,19 +53,6 @@ def test__index_range_list_from(): assert inversion.param_range_list_from(cls=aa.AbstractMapper) == [[2, 3]] -def test__mapper_edge_pixel_list(): - inversion = aa.m.MockInversion( - linear_obj_list=[ - aa.m.MockLinearObj(parameters=3, regularization=None), - aa.m.MockMapper(parameters=4, edge_pixel_list=[0, 2], regularization=None), - aa.m.MockLinearObj(parameters=7, regularization=None), - aa.m.MockMapper(parameters=4, edge_pixel_list=[0, 2], regularization=None), - ] - ) - - assert inversion.mapper_edge_pixel_list == [3, 5, 14, 16] - - def test__no_regularization_index_list(): inversion = aa.m.MockInversion( linear_obj_list=[ diff --git a/test_autoarray/inversion/inversion/test_factory.py b/test_autoarray/inversion/inversion/test_factory.py index 6a9beff06..25cea16e3 100644 --- a/test_autoarray/inversion/inversion/test_factory.py +++ b/test_autoarray/inversion/inversion/test_factory.py @@ -116,7 +116,6 @@ def test__inversion_imaging__via_mapper( def test__inversion_imaging__via_regularizations( masked_imaging_7x7_no_blur, delaunay_mapper_9_3x3, - voronoi_mapper_9_3x3, regularization_constant, regularization_constant_split, regularization_adaptive_brightness, @@ -154,39 +153,6 @@ def test__inversion_imaging__via_regularizations( ) assert inversion.mapped_reconstructed_image == pytest.approx(np.ones(9), 1.0e-4) - pytest.importorskip( - "autoarray.util.nn.nn_py", - reason="Voronoi C library not installed, see util.nn README.md", - ) - - mapper = copy.copy(voronoi_mapper_9_3x3) - mapper.regularization = regularization_constant - - inversion = aa.Inversion( - dataset=masked_imaging_7x7_no_blur_w_tilde, - linear_obj_list=[mapper], - ) - - assert isinstance(inversion.linear_obj_list[0], aa.MapperVoronoi) - assert inversion.log_det_curvature_reg_matrix_term == pytest.approx( - 10.66505, 1.0e-4 - ) - assert inversion.mapped_reconstructed_image == pytest.approx(np.ones(9), 1.0e-4) - - mapper = copy.copy(voronoi_mapper_9_3x3) - mapper.regularization = regularization_constant_split - - inversion = aa.Inversion( - dataset=masked_imaging_7x7_no_blur_w_tilde, - linear_obj_list=[mapper], - ) - - assert isinstance(inversion.linear_obj_list[0], aa.MapperVoronoi) - assert inversion.log_det_curvature_reg_matrix_term == pytest.approx( - 10.37955, 1.0e-4 - ) - assert inversion.mapped_reconstructed_image == pytest.approx(np.ones(9), 1.0e-4) - def test__inversion_imaging__source_pixel_zeroed_indices( masked_imaging_7x7_no_blur, @@ -297,14 +263,9 @@ def test__inversion_imaging__via_linear_obj_func_and_mapper__force_edge_pixels_t ), ) - mapper_edge_pixel_list = inversion.mapper_edge_pixel_list - assert isinstance(inversion.linear_obj_list[0], aa.m.MockLinearObj) assert isinstance(inversion.linear_obj_list[1], aa.MapperDelaunay) assert isinstance(inversion, aa.InversionImagingMapping) - # assert inversion.reconstruction[mapper_edge_pixel_list[0]] == pytest.approx(0.0, abs=1.0e-2) - # assert inversion.reconstruction[mapper_edge_pixel_list[1]] == pytest.approx(0.0, abs=1.0e-2) - # assert inversion.reconstruction[mapper_edge_pixel_list[2]] == pytest.approx(0.0, abs=1.0e-2) def test__inversion_imaging__compare_mapping_and_w_tilde_values( diff --git a/test_autoarray/inversion/inversion/test_mapper_valued.py b/test_autoarray/inversion/inversion/test_mapper_valued.py index 24529b3a6..f74662628 100644 --- a/test_autoarray/inversion/inversion/test_mapper_valued.py +++ b/test_autoarray/inversion/inversion/test_mapper_valued.py @@ -6,7 +6,7 @@ def test__max_pixel_list_from_and_centre(): mapper = aa.m.MockMapper( - source_plane_mesh_grid=aa.Mesh2DVoronoi( + source_plane_mesh_grid=aa.Mesh2DDelaunay( [[1.0, 2.0], [3.0, 4.0], [5.0, 6.0], [5.0, 0.0]] ) ) @@ -25,7 +25,7 @@ def test__max_pixel_list_from_and_centre(): def test__max_pixel_list_from__filter_neighbors(): mapper = aa.m.MockMapper( - source_plane_mesh_grid=aa.Mesh2DVoronoi( + source_plane_mesh_grid=aa.Mesh2DDelaunay( [ [1.0, 1.0], [1.0, 2.0], @@ -101,7 +101,7 @@ def test__magnification_via_mesh_from(): magnification = [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0] - source_plane_mesh_grid = aa.Mesh2DVoronoi( + source_plane_mesh_grid = aa.Mesh2DDelaunay( values=np.array( [ [0.0, 0.0], @@ -147,7 +147,7 @@ def test__magnification_via_mesh_from__with_pixel_mask(): magnification = np.array([1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0]) - source_plane_mesh_grid = aa.Mesh2DVoronoi( + source_plane_mesh_grid = aa.Mesh2DDelaunay( values=np.array( [ [0.0, 0.0], diff --git a/test_autoarray/inversion/pixelization/mappers/test_abstract.py b/test_autoarray/inversion/pixelization/mappers/test_abstract.py index 271e03772..efd7400b3 100644 --- a/test_autoarray/inversion/pixelization/mappers/test_abstract.py +++ b/test_autoarray/inversion/pixelization/mappers/test_abstract.py @@ -173,7 +173,9 @@ def test__mapped_to_source_from(grid_2d_7x7): over_sample_size=1, ) - mesh_grid = aa.Mesh2DDelaunay(values=mesh_grid) + mesh_grid = aa.Mesh2DDelaunay( + values=mesh_grid, source_plane_data_grid_over_sampled=grid_2d_7x7.over_sampled + ) mapper_grids = aa.MapperGrids( mask=grid_2d_7x7.mask, @@ -190,7 +192,7 @@ def test__mapped_to_source_from(grid_2d_7x7): ) mapped_to_source_util = aa.util.mapper.mapped_to_source_via_mapping_matrix_from( - mapping_matrix=np.array(mapper.mapping_matrix), + mapping_matrix=mapper.mapping_matrix, array_slim=array_slim, ) diff --git a/test_autoarray/inversion/pixelization/mappers/test_delaunay.py b/test_autoarray/inversion/pixelization/mappers/test_delaunay.py index 5aa322edd..b8ea84965 100644 --- a/test_autoarray/inversion/pixelization/mappers/test_delaunay.py +++ b/test_autoarray/inversion/pixelization/mappers/test_delaunay.py @@ -1,6 +1,13 @@ import numpy as np +import scipy.spatial +import pytest + import autoarray as aa +from autoarray.structures.mesh.delaunay_2d import ( + pix_indexes_for_sub_slim_index_delaunay_from, +) + def test__pix_indexes_for_sub_slim_index__matches_util(grid_2d_sub_1_7x7): mesh_grid = aa.Grid2D.no_mask( @@ -10,7 +17,11 @@ def test__pix_indexes_for_sub_slim_index__matches_util(grid_2d_sub_1_7x7): over_sample_size=1, ) - mesh_grid = aa.Mesh2DDelaunay(values=mesh_grid) + mesh_grid = aa.Mesh2DDelaunay( + values=mesh_grid, + source_plane_data_grid_over_sampled=grid_2d_sub_1_7x7.over_sampled, + _xp=np, + ) mapper_grids = aa.MapperGrids( mask=grid_2d_sub_1_7x7.mask, @@ -20,24 +31,24 @@ def test__pix_indexes_for_sub_slim_index__matches_util(grid_2d_sub_1_7x7): mapper = aa.Mapper(mapper_grids=mapper_grids, regularization=None) - simplex_index_for_sub_slim_index = mapper.delaunay.find_simplex( + delaunay = scipy.spatial.Delaunay(mesh_grid.mesh_grid_xy) + + simplex_index_for_sub_slim_index = delaunay.find_simplex( mapper.source_plane_data_grid ) pix_indexes_for_simplex_index = mapper.delaunay.simplices - ( - pix_indexes_for_sub_slim_index_util, - sizes, - ) = aa.util.mapper_numba.pix_indexes_for_sub_slim_index_delaunay_from( + pix_indexes_for_sub_slim_index_util = pix_indexes_for_sub_slim_index_delaunay_from( source_plane_data_grid=mapper.source_plane_data_grid.array, simplex_index_for_sub_slim_index=simplex_index_for_sub_slim_index, pix_indexes_for_simplex_index=pix_indexes_for_simplex_index, delaunay_points=mapper.delaunay.points, ) - pix_indexes_for_sub_slim_index_util = pix_indexes_for_sub_slim_index_util.astype( - "int" + sizes = ( + np.sum(pix_indexes_for_sub_slim_index_util >= 0, axis=1) + .astype(np.int32) + .astype("int") ) - sizes = sizes.astype("int") assert ( mapper.pix_indexes_for_sub_slim_index == pix_indexes_for_sub_slim_index_util @@ -64,3 +75,81 @@ def test__pix_indexes_for_sub_slim_index__matches_util(grid_2d_sub_1_7x7): assert ( mapper.pix_sizes_for_sub_slim_index == np.array([1, 1, 3, 1, 1, 1, 1, 1, 1]) ).all() + + +def test__scipy_delaunay__simplices(grid_2d_sub_1_7x7): + + mesh_grid = aa.Grid2D.no_mask( + values=[[0.1, 0.1], [1.1, 0.6], [2.1, 0.1], [0.4, 1.1], [1.1, 7.1], [2.1, 1.1]], + shape_native=(3, 2), + pixel_scales=1.0, + over_sample_size=1, + ) + + mesh_grid = aa.Mesh2DDelaunay( + values=mesh_grid, source_plane_data_grid_over_sampled=grid_2d_sub_1_7x7 + ) + + assert (mesh_grid.delaunay.simplices[0, :] == np.array([3, 4, 0])).all() + assert (mesh_grid.delaunay.simplices[1, :] == np.array([3, 5, 4])).all() + assert (mesh_grid.delaunay.simplices[-1, :] == np.array([-1, -1, -1])).all() + + +def test__scipy_delaunay__split(grid_2d_sub_1_7x7): + + mesh_grid = aa.Grid2D.no_mask( + values=[[0.1, 0.1], [1.1, 0.6], [2.1, 0.1], [0.4, 1.1], [1.1, 7.1], [2.1, 1.1]], + shape_native=(3, 2), + pixel_scales=1.0, + over_sample_size=1, + ) + + mesh_grid = aa.Mesh2DDelaunay( + values=mesh_grid, source_plane_data_grid_over_sampled=grid_2d_sub_1_7x7 + ) + + assert mesh_grid.delaunay.split_points[0, :] == pytest.approx( + [2.30929334, 0.1], 1.0e-4 + ) + assert mesh_grid.delaunay.split_points[1, :] == pytest.approx( + [-2.10929334, 0.1], 1.0e-4 + ) + assert mesh_grid.delaunay.split_points[-1, :] == pytest.approx( + [2.1, -1.10929334], 1.0e-4 + ) + + assert mesh_grid.delaunay.splitted_mappings[0, :] == pytest.approx( + [2, -1, -1], 1.0e-4 + ) + assert mesh_grid.delaunay.splitted_mappings[1, :] == pytest.approx( + [0, -1, -1], 1.0e-4 + ) + assert mesh_grid.delaunay.splitted_mappings[-1, :] == pytest.approx( + [2, -1, -1], 1.0e-4 + ) + + +def test__scipy_delaunay__split__uses_barycentric_dual_area_from(grid_2d_sub_1_7x7): + + mesh_grid = aa.Grid2D.no_mask( + values=[[0.1, 0.1], [1.1, 0.6], [2.1, 0.1], [0.4, 1.1], [1.1, 7.1], [2.1, 1.1]], + shape_native=(3, 2), + pixel_scales=1.0, + over_sample_size=1, + ) + + mesh_grid = aa.Mesh2DDelaunay( + values=mesh_grid, + source_plane_data_grid_over_sampled=grid_2d_sub_1_7x7, + preloads=aa.Preloads(use_voronoi_areas=False), + ) + + assert mesh_grid.delaunay.split_points[0, :] == pytest.approx( + [0.45059473, 0.1], 1.0e-4 + ) + assert mesh_grid.delaunay.split_points[1, :] == pytest.approx( + [-0.25059473, 0.1], 1.0e-4 + ) + assert mesh_grid.delaunay.split_points[-1, :] == pytest.approx( + [2.1, 0.39142161], 1.0e-4 + ) diff --git a/test_autoarray/inversion/pixelization/mappers/test_factory.py b/test_autoarray/inversion/pixelization/mappers/test_factory.py index a4c3c264a..e6dbebdc9 100644 --- a/test_autoarray/inversion/pixelization/mappers/test_factory.py +++ b/test_autoarray/inversion/pixelization/mappers/test_factory.py @@ -106,57 +106,3 @@ def test__delaunay_mapper(): ), 1.0e-2, ) - - -def test__voronoi_mapper(): - pytest.importorskip( - "autoarray.util.nn.nn_py", - reason="Voronoi C library not installed, see util.nn README.md", - ) - - mask = aa.Mask2D( - mask=[ - [True, True, True, True, True], - [True, True, False, True, True], - [True, False, False, False, True], - [True, True, False, True, True], - [True, True, True, True, True], - ], - pixel_scales=1.0, - ) - - # Slightly manipulate input grid so sub gridding is evidence in first source pixel. - grid = aa.Grid2D.from_mask(mask=mask, over_sample_size=2) - - grid.over_sampled[0, 0] = -2.0 - grid.over_sampled[0, 1] = 2.0 - - mesh = aa.mesh.Voronoi() - image_mesh = aa.image_mesh.Overlay(shape=(3, 3)) - image_plane_mesh_grid = image_mesh.image_plane_mesh_grid_from( - mask=mask, adapt_data=None - ) - - mapper_grids = mesh.mapper_grids_from( - mask=mask, - border_relocator=None, - source_plane_data_grid=grid, - source_plane_mesh_grid=image_plane_mesh_grid, - ) - - mapper = aa.Mapper(mapper_grids=mapper_grids, regularization=None) - - assert (mapper.source_plane_mesh_grid == image_plane_mesh_grid).all() - assert mapper.source_plane_mesh_grid.origin == pytest.approx((0.0, 0.0), 1.0e-4) - - # assert mapper.mapping_matrix == pytest.approx( - # np.array( - # [ - # [0.6875, 0.0, 0.0, 0.3125, 0.0], - # [0.0, 1.0, 0.0, 0.0, 0.0], - # [0.125, 0.125, 0.5, 0.125, 0.125], - # [0.0, 0.0, 0.0, 0.9375, 0.0625], - # [0.0, 0.0, 0.0, 0.0, 1.0], - # ] - # ) - # ) diff --git a/test_autoarray/inversion/pixelization/mappers/test_mapper_util.py b/test_autoarray/inversion/pixelization/mappers/test_mapper_util.py index 2a862ea63..f677acb83 100644 --- a/test_autoarray/inversion/pixelization/mappers/test_mapper_util.py +++ b/test_autoarray/inversion/pixelization/mappers/test_mapper_util.py @@ -1,7 +1,11 @@ -import autoarray as aa import numpy as np import pytest +import autoarray as aa +from autoarray.inversion.pixelization.mappers.delaunay import ( + pixel_weights_delaunay_from, +) + @pytest.fixture(name="three_pixels") def make_three_pixels(): @@ -334,19 +338,16 @@ def test__data_to_pix_unique_from(): assert (pix_lengths == np.array([3, 3])).all() -def test__weights(): +def test__pixel_weights_delaunay_from(): source_plane_data_grid = np.array([[0.1, 0.1], [1.0, 1.0]]) source_plane_mesh_grid = np.array([[0.0, 0.0], [0.1, 0.0], [0.2, 0.0]]) - slim_index_for_sub_slim_index = np.array([0, 1]) - pix_indexes_for_sub_slim_index = np.array([[0, 1, 2], [2, -1, -1]]) - pixel_weights = aa.util.mapper_numba.pixel_weights_delaunay_from( + pixel_weights = pixel_weights_delaunay_from( source_plane_data_grid=source_plane_data_grid, source_plane_mesh_grid=source_plane_mesh_grid, - slim_index_for_sub_slim_index=slim_index_for_sub_slim_index, pix_indexes_for_sub_slim_index=pix_indexes_for_sub_slim_index, ) diff --git a/test_autoarray/inversion/pixelization/mappers/test_voronoi.py b/test_autoarray/inversion/pixelization/mappers/test_voronoi.py deleted file mode 100644 index 92bc5995a..000000000 --- a/test_autoarray/inversion/pixelization/mappers/test_voronoi.py +++ /dev/null @@ -1,44 +0,0 @@ -import pytest - -import autoarray as aa - - -def test__pix_indexes_for_sub_slim_index__matches_util(grid_2d_sub_1_7x7): - source_plane_mesh_grid = aa.Grid2D.no_mask( - values=[[0.1, 0.1], [1.1, 0.6], [2.1, 0.1], [0.4, 1.1], [1.1, 7.1], [2.1, 1.1]], - shape_native=(3, 2), - pixel_scales=1.0, - over_sample_size=1, - ) - - source_plane_mesh_grid = aa.Mesh2DVoronoi( - values=source_plane_mesh_grid, - ) - - source_plane_mesh_grid = aa.Mesh2DVoronoi( - values=source_plane_mesh_grid, - ) - - mapper_grids = aa.MapperGrids( - mask=grid_2d_sub_1_7x7.mask, - source_plane_data_grid=grid_2d_sub_1_7x7, - source_plane_mesh_grid=source_plane_mesh_grid, - ) - pytest.importorskip( - "autoarray.util.nn.nn_py", - reason="Voronoi C library not installed, see util.nn README.md", - ) - - mapper = aa.Mapper(mapper_grids=mapper_grids, regularization=None) - - ( - pix_indexes_for_sub_slim_index_util, - sizes, - weights, - ) = aa.util.mapper_numba.pix_size_weights_voronoi_nn_from( - grid=grid_2d_sub_1_7x7, mesh_grid=source_plane_mesh_grid - ) - - assert ( - mapper.pix_indexes_for_sub_slim_index == pix_indexes_for_sub_slim_index_util - ).all() diff --git a/test_autoarray/inversion/pixelization/mesh/test_mesh_util.py b/test_autoarray/inversion/pixelization/mesh/test_mesh_util.py index b9058dede..33cf76df9 100644 --- a/test_autoarray/inversion/pixelization/mesh/test_mesh_util.py +++ b/test_autoarray/inversion/pixelization/mesh/test_mesh_util.py @@ -106,56 +106,6 @@ def test__rectangular_neighbors_from(): ).all() -def test__voronoi_neighbors_from(): - points = np.array([[1.0, -1.0], [1.0, 1.0], [0.0, 0.0], [-1.0, -1.0], [-1.0, 1.0]]) - - voronoi = scipy.spatial.Voronoi(points, qhull_options="Qbb Qc Qx Qm") - (neighbors, neighbors_sizes) = aa.util.mesh_numba.voronoi_neighbors_from( - pixels=5, ridge_points=np.array(voronoi.ridge_points) - ) - - assert set(neighbors[0]) == {1, 2, 3, -1} - assert set(neighbors[1]) == {0, 2, 4, -1} - assert set(neighbors[2]) == {0, 1, 3, 4} - assert set(neighbors[3]) == {0, 2, 4, -1} - assert set(neighbors[4]) == {1, 2, 3, -1} - - assert (neighbors_sizes == np.array([3, 3, 4, 3, 3])).all() - - # 9 points in a square - makes a square (this is the example int he scipy documentaiton page) - - points = np.array( - [ - [2.0, 0.0], - [2.0, 1.0], - [2.0, 2.0], - [1.0, 0.0], - [1.0, 1.0], - [1.0, 2.0], - [0.0, 0.0], - [0.0, 1.0], - [0.0, 2.0], - ] - ) - - voronoi = scipy.spatial.Voronoi(points, qhull_options="Qbb Qc Qx Qm") - (neighbors, neighbors_sizes) = aa.util.mesh_numba.voronoi_neighbors_from( - pixels=9, ridge_points=np.array(voronoi.ridge_points) - ) - - assert set(neighbors[0]) == {1, 3, -1, -1} - assert set(neighbors[1]) == {0, 2, 4, -1} - assert set(neighbors[2]) == {1, 5, -1, -1} - assert set(neighbors[3]) == {0, 4, 6, -1} - assert set(neighbors[4]) == {1, 3, 5, 7} - assert set(neighbors[5]) == {2, 4, 8, -1} - assert set(neighbors[6]) == {3, 7, -1, -1} - assert set(neighbors[7]) == {4, 6, 8, -1} - assert set(neighbors[8]) == {5, 7, -1, -1} - - assert (neighbors_sizes == np.array([2, 3, 2, 3, 4, 3, 2, 3, 2])).all() - - def test__delaunay_interpolated_grid_from(): shape_native = (3, 3) diff --git a/test_autoarray/inversion/plot/test_inversion_plotters.py b/test_autoarray/inversion/plot/test_inversion_plotters.py index 62737ec87..0ed897c7f 100644 --- a/test_autoarray/inversion/plot/test_inversion_plotters.py +++ b/test_autoarray/inversion/plot/test_inversion_plotters.py @@ -18,7 +18,6 @@ def make_plot_path_setup(): def test__individual_attributes_are_output_for_all_mappers( rectangular_inversion_7x7_3x3, - voronoi_inversion_9_3x3, grid_2d_irregular_7x7_list, plot_path, plot_patch, @@ -46,52 +45,6 @@ def test__individual_attributes_are_output_for_all_mappers( assert path.join(plot_path, "reconstruction_noise_map.png") in plot_patch.paths assert path.join(plot_path, "regularization_weights.png") in plot_patch.paths - pytest.importorskip( - "autoarray.util.nn.nn_py", - reason="Voronoi C library not installed, see util.nn README.md", - ) - - plot_patch.paths = [] - - inversion_plotter = aplt.InversionPlotter( - inversion=voronoi_inversion_9_3x3, - visuals_2d=aplt.Visuals2D(indexes=[0]), - mat_plot_2d=aplt.MatPlot2D(output=aplt.Output(path=plot_path, format="png")), - ) - - inversion_plotter.figures_2d_of_pixelization( - pixelization_index=0, - reconstructed_image=True, - reconstruction=True, - sub_pixels_per_image_pixels=True, - mesh_pixels_per_image_pixels=True, - image_pixels_per_mesh_pixel=True, - reconstruction_noise_map=True, - signal_to_noise_map=True, - regularization_weights=True, - ) - - assert path.join(plot_path, "reconstructed_image.png") in plot_patch.paths - assert path.join(plot_path, "reconstruction.png") in plot_patch.paths - assert path.join(plot_path, "sub_pixels_per_image_pixels.png") in plot_patch.paths - assert path.join(plot_path, "mesh_pixels_per_image_pixels.png") in plot_patch.paths - assert path.join(plot_path, "image_pixels_per_mesh_pixel.png") in plot_patch.paths - assert path.join(plot_path, "reconstruction_noise_map.png") in plot_patch.paths - assert path.join(plot_path, "signal_to_noise_map.png") in plot_patch.paths - assert path.join(plot_path, "regularization_weights.png") in plot_patch.paths - - plot_patch.paths = [] - - inversion_plotter.figures_2d_of_pixelization( - pixelization_index=0, - reconstructed_image=True, - reconstruction_noise_map=True, - ) - - assert path.join(plot_path, "reconstructed_image.png") in plot_patch.paths - assert path.join(plot_path, "reconstruction.png") not in plot_patch.paths - assert path.join(plot_path, "reconstruction_noise_map.png") in plot_patch.paths - def test__inversion_subplot_of_mapper__is_output_for_all_inversions( imaging_7x7, diff --git a/test_autoarray/inversion/plot/test_mapper_plotters.py b/test_autoarray/inversion/plot/test_mapper_plotters.py index 1b91c3ad3..2de4add0b 100644 --- a/test_autoarray/inversion/plot/test_mapper_plotters.py +++ b/test_autoarray/inversion/plot/test_mapper_plotters.py @@ -17,7 +17,6 @@ def make_plot_path_setup(): def test__figure_2d( rectangular_mapper_7x7_3x3, delaunay_mapper_9_3x3, - voronoi_mapper_9_3x3, plot_path, plot_patch, ): @@ -51,29 +50,11 @@ def test__figure_2d( assert path.join(plot_path, "mapper1.png") in plot_patch.paths - pytest.importorskip( - "autoarray.util.nn.nn_py", - reason="Voronoi C library not installed, see util.nn README.md", - ) - - plot_patch.paths = [] - - mapper_plotter = aplt.MapperPlotter( - mapper=voronoi_mapper_9_3x3, - visuals_2d=visuals_2d, - mat_plot_2d=mat_plot_2d, - ) - - mapper_plotter.figure_2d(interpolate_to_uniform=True) - - assert path.join(plot_path, "mapper1.png") in plot_patch.paths - def test__subplot_image_and_mapper( imaging_7x7, rectangular_mapper_7x7_3x3, delaunay_mapper_9_3x3, - voronoi_mapper_9_3x3, plot_path, plot_patch, ): @@ -102,21 +83,3 @@ def test__subplot_image_and_mapper( image=imaging_7x7.data, interpolate_to_uniform=True ) assert path.join(plot_path, "subplot_image_and_mapper.png") in plot_patch.paths - - pytest.importorskip( - "autoarray.util.nn.nn_py", - reason="Voronoi C library not installed, see util.nn README.md", - ) - - plot_patch.paths = [] - - mapper_plotter = aplt.MapperPlotter( - mapper=voronoi_mapper_9_3x3, - visuals_2d=visuals_2d, - mat_plot_2d=aplt.MatPlot2D(output=aplt.Output(path=plot_path, format="png")), - ) - - mapper_plotter.subplot_image_and_mapper( - image=imaging_7x7.data, interpolate_to_uniform=True - ) - assert path.join(plot_path, "subplot_image_and_mapper.png") in plot_patch.paths diff --git a/test_autoarray/inversion/regularizations/test_regularization_util.py b/test_autoarray/inversion/regularizations/test_regularization_util.py index a75faa68b..5d5adcf48 100644 --- a/test_autoarray/inversion/regularizations/test_regularization_util.py +++ b/test_autoarray/inversion/regularizations/test_regularization_util.py @@ -526,29 +526,31 @@ def test__brightness_zeroth_regularization_matrix_from(): ) -def test__constant_pixel_splitted_regularization_matrix(): +@pytest.fixture +def splitted_data(): + splitted_mappings = np.array( [ - [0, -1, -1, -1, -1], - [1, 3, -1, -1, -1], - [1, 4, 2, -1, -1], - [2, 3, -1, -1, -1], - [1, 2, 3, 4, -1], - [0, 3, 4, -1, -1], - [4, -1, -1, -1, -1], - [3, -1, -1, -1, -1], - [0, 3, -1, -1, -1], - [2, 3, -1, -1, -1], - [0, -1, -1, -1, -1], - [3, -1, -1, -1, -1], - [4, 2, -1, -1, -1], - [1, 4, -1, -1, -1], - [2, 4, -1, -1, -1], - [3, 1, 2, -1, -1], - [2, 1, 4, -1, -1], - [2, -1, -1, -1, -1], - [3, 4, -1, -1, -1], - [1, 4, -1, -1, -1], + [0, -1, -1, -1], + [1, 3, -1, -1], + [1, 4, 2, -1], + [2, 3, -1, -1], + [1, 2, 3, 4], + [0, 3, 4, -1], + [4, -1, -1, -1], + [3, -1, -1, -1], + [0, 3, -1, -1], + [2, 3, -1, -1], + [0, -1, -1, -1], + [3, -1, -1, -1], + [4, 2, -1, -1], + [1, 4, -1, -1], + [2, 4, -1, -1], + [3, 1, 2, -1], + [2, 1, 4, -1], + [2, -1, -1, -1], + [3, 4, -1, -1], + [1, 4, -1, -1], ] ) @@ -556,43 +558,106 @@ def test__constant_pixel_splitted_regularization_matrix(): splitted_weights = np.array( [ - [1.0, 0.0, 0.0, 0.0, 0.0], - [0.2, 0.8, 0.0, 0.0, 0.0], - [0.1, 0.3, 0.6, 0.0, 0.0], - [0.15, 0.85, 0.0, 0.0, 0.0], - [0.2, 0.25, 0.1, 0.45, 0.0], - [0.3, 0.6, 0.1, 0.0, 0.0], - [1.0, 0.0, 0.0, 0.0, 0.0], - [1.0, 0.0, 0.0, 0.0, 0.0], - [0.7, 0.3, 0.0, 0.0, 0.0], - [0.36, 0.64, 0.0, 0.0, 0.0], - [1.0, 0.0, 0.0, 0.0, 0.0], - [1.0, 0.0, 0.0, 0.0, 0.0], - [0.95, 0.05, 0.0, 0.0, 0.0], - [0.1, 0.9, 0.0, 0.0, 0.0], - [0.77, 0.23, 0.0, 0.0, 0.0], - [0.12, 0.4, 0.48, 0.0, 0.0], - [0.6, 0.15, 0.25, 0.0, 0.0], - [1.0, 0.0, 0.0, 0.0, 0.0], - [0.66, 0.34, 0.0, 0.0, 0.0], - [0.57, 0.43, 0.0, 0.0, 0.0], + [1.0, 0.0, 0.0, 0.0], + [0.2, 0.8, 0.0, 0.0], + [0.1, 0.3, 0.6, 0.0], + [0.15, 0.85, 0.0, 0.0], + [0.2, 0.25, 0.1, 0.45], + [0.3, 0.6, 0.1, 0.0], + [1.0, 0.0, 0.0, 0.0], + [1.0, 0.0, 0.0, 0.0], + [0.7, 0.3, 0.0, 0.0], + [0.36, 0.64, 0.0, 0.0], + [1.0, 0.0, 0.0, 0.0], + [1.0, 0.0, 0.0, 0.0], + [0.95, 0.05, 0.0, 0.0], + [0.1, 0.9, 0.0, 0.0], + [0.77, 0.23, 0.0, 0.0], + [0.12, 0.4, 0.48, 0.0], + [0.6, 0.15, 0.25, 0.0], + [1.0, 0.0, 0.0, 0.0], + [0.66, 0.34, 0.0, 0.0], + [0.57, 0.43, 0.0, 0.0], ] ) - splitted_weights *= -1.0 + return splitted_mappings, splitted_sizes, splitted_weights + - for i in range(len(splitted_mappings)): - pixel_index = i // 4 - flag = 0 - for j in range(splitted_sizes[i]): - if splitted_mappings[i][j] == pixel_index: - splitted_weights[i][j] += 1.0 - flag = 1 +def test__reg_split_from(splitted_data): - if flag == 0: - splitted_mappings[i][j + 1] = pixel_index - splitted_sizes[i] += 1 - splitted_weights[i][j + 1] = 1.0 + splitted_mappings, splitted_sizes, splitted_weights = splitted_data + + splitted_mappings, splitted_sizes, splitted_weights = ( + aa.util.regularization.reg_split_from( + splitted_mappings=splitted_mappings, + splitted_sizes=splitted_sizes, + splitted_weights=splitted_weights, + ) + ) + + expected_mappings = np.array( + [ + [0, -1, -1, -1], + [1, 3, 0, -1], + [1, 4, 2, 0], + [2, 3, 0, -1], + [1, 2, 3, 4], + [0, 3, 4, 1], + [4, 1, -1, -1], + [3, 1, -1, -1], + [0, 3, 2, -1], + [2, 3, -1, -1], + [0, 2, -1, -1], + [3, 2, -1, -1], + [4, 2, 3, -1], + [1, 4, 3, -1], + [2, 4, 3, -1], + [3, 1, 2, -1], + [2, 1, 4, -1], + [2, 4, -1, -1], + [3, 4, -1, -1], + [1, 4, -1, -1], + ] + ) + + expected_sizes = np.array( + [1, 3, 4, 3, 4, 4, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2] + ) + + expected_weights = np.array( + [ + [0.00, -0.00, -0.00, -0.00], + [-0.20, -0.80, 1.00, -0.00], + [-0.10, -0.30, -0.60, 1.00], + [-0.15, -0.85, 1.00, -0.00], + [0.80, -0.25, -0.10, -0.45], + [-0.30, -0.60, -0.10, 1.00], + [-1.00, 1.00, -0.00, -0.00], + [-1.00, 1.00, -0.00, -0.00], + [-0.70, -0.30, 1.00, -0.00], + [0.64, -0.64, -0.00, -0.00], + [-1.00, 1.00, -0.00, -0.00], + [-1.00, 1.00, -0.00, -0.00], + [-0.95, -0.05, 1.00, -0.00], + [-0.10, -0.90, 1.00, -0.00], + [-0.77, -0.23, 1.00, -0.00], + [0.88, -0.40, -0.48, -0.00], + [-0.60, -0.15, 0.75, -0.00], + [-1.00, 1.00, -0.00, -0.00], + [-0.66, 0.66, -0.00, -0.00], + [-0.57, 0.57, -0.00, -0.00], + ] + ) + + assert splitted_mappings == pytest.approx(expected_mappings, abs=1.0e-4) + assert splitted_sizes == pytest.approx(expected_sizes, abs=1.0e-4) + assert splitted_weights == pytest.approx(expected_weights, abs=1.0e-4) + + +def test__constant_pixel_splitted_regularization_matrix(splitted_data): + + splitted_mappings, splitted_sizes, splitted_weights = splitted_data pixels = int(len(splitted_mappings) / 4) @@ -605,10 +670,18 @@ def test__constant_pixel_splitted_regularization_matrix(): ) ) - assert pytest.approx(regularization_matrix[0], 1e-4) == np.array( - [4.58, -0.6, -2.45, -1.26, -0.27] + expected_reg_matrix = np.array( + [ + [2.58000001, 0.0, 0.0, 0.39, 0.03], + [0.0, 0.60740001, 0.392, 0.228, 0.4926], + [0.0, 0.392, 2.76040001, 0.4405, 0.6671], + [0.39, 0.228, 0.4405, 4.68210001, 0.3294], + [0.03, 0.4926, 0.6671, 0.3294, 3.43090001], + ] ) + assert pytest.approx(regularization_matrix, 1e-4) == np.array(expected_reg_matrix) + regularization_weights = np.array([2.0, 4.0, 2.0, 2.0, 2.0]) regularization_matrix = ( @@ -620,6 +693,14 @@ def test__constant_pixel_splitted_regularization_matrix(): ) ) - assert pytest.approx(regularization_matrix[0], 1e-4) == np.array( - [19.4, -6, -9.8, -2.88, -0.72] + expected_reg_matrix = np.array( + [ + [11.40000001, 0.0, 0.0, 3.72, 0.48], + [0.0, 2.90960001, 2.168, 1.152, 3.0504], + [0.0, 2.168, 11.79160001, 2.062, 4.0184], + [3.72, 1.152, 2.062, 35.16840001, 2.5776], + [0.48, 3.0504, 4.0184, 2.5776, 28.27360001], + ] ) + + assert pytest.approx(regularization_matrix, 1e-4) == np.array(expected_reg_matrix) diff --git a/test_autoarray/plot/wrap/two_d/test_voronoi_drawer.py b/test_autoarray/plot/wrap/two_d/test_voronoi_drawer.py deleted file mode 100644 index 711fa2cbd..000000000 --- a/test_autoarray/plot/wrap/two_d/test_voronoi_drawer.py +++ /dev/null @@ -1,26 +0,0 @@ -import autoarray.plot as aplt - -import numpy as np - - -def test__draws_voronoi_pixels_for_sensible_input(voronoi_mapper_9_3x3): - voronoi_drawer = aplt.VoronoiDrawer(linewidth=0.5, edgecolor="r", alpha=1.0) - - voronoi_drawer.draw_voronoi_pixels( - mapper=voronoi_mapper_9_3x3, - pixel_values=None, - units=aplt.Units(), - cmap=aplt.Cmap(), - colorbar=None, - ) - - values = np.ones(9) - values[0] = 0.0 - - voronoi_drawer.draw_voronoi_pixels( - mapper=voronoi_mapper_9_3x3, - pixel_values=values, - units=aplt.Units(), - cmap=aplt.Cmap(), - colorbar=aplt.Colorbar(fraction=0.1, pad=0.05), - ) diff --git a/test_autoarray/structures/files/config_flip/general.ini b/test_autoarray/structures/files/config_flip/general.ini index 9fb6c617e..d33eec0ea 100644 --- a/test_autoarray/structures/files/config_flip/general.ini +++ b/test_autoarray/structures/files/config_flip/general.ini @@ -25,8 +25,6 @@ remove_projected_centre=False [structures] native_binned_only=false -[pixelization] -voronoi_nn_max_interpolation_neighbors=100 [adapt] adapt_minimum_percent=0.01 diff --git a/test_autoarray/structures/mesh/test_delaunay.py b/test_autoarray/structures/mesh/test_delaunay.py index 9e5d7ff23..bc12b00e7 100644 --- a/test_autoarray/structures/mesh/test_delaunay.py +++ b/test_autoarray/structures/mesh/test_delaunay.py @@ -4,26 +4,6 @@ import autoarray as aa -def test__edge_pixel_list(): - grid = np.array( - [ - [1.0, -1.0], - [1.0, 0.0], - [1.0, 1.0], - [0.0, -1.0], - [0.0, 0.0], - [0.0, 1.0], - [-1.0, -1.0], - [-1.0, 0.0], - [-1.0, 1.0], - ] - ) - - mesh = aa.Mesh2DDelaunay(values=grid) - - assert mesh.edge_pixel_list == [0, 1, 2, 3, 5, 6, 7, 8] - - def test__interpolated_array_from(): grid = aa.Grid2D.no_mask( values=[[0.0, 0.0], [1.1, 0.6], [2.1, 0.1], [0.4, 1.1], [1.1, 7.1], [2.1, 1.1]], @@ -58,3 +38,53 @@ def test__interpolated_array_from(): assert interpolated_array.native == pytest.approx( np.array([[1.0, 1.907216], [1.0, 1.0], [1.0, 1.0]]), 1.0e-4 ) + + +def test__neighbors(grid_2d_sub_1_7x7): + + mesh_grid = aa.Grid2D.no_mask( + values=[[0.1, 0.1], [1.1, 0.6], [2.1, 0.1], [0.4, 1.1], [1.1, 7.1], [2.1, 1.1]], + shape_native=(3, 2), + pixel_scales=1.0, + over_sample_size=1, + ) + + mesh_grid = aa.Mesh2DDelaunay( + values=mesh_grid, source_plane_data_grid_over_sampled=grid_2d_sub_1_7x7 + ) + + neighbors = mesh_grid.neighbors + + expected = np.array( + [ + [1, 2, 3, 4], + [0, 2, 3, 5], + [0, 1, 5, -1], + [0, 1, 4, 5], + [0, 3, 5, -1], + [1, 2, 3, 4], + ] + ) + + assert all( + set(neighbors[i]) - {-1} == set(expected[i]) - {-1} + for i in range(neighbors.shape[0]) + ) + + +def test__voronoi_areas_via_delaunay_from(grid_2d_sub_1_7x7): + + mesh_grid = np.array( + [[0.0, 0.0], [1.1, 0.6], [2.1, 0.1], [0.4, 1.1], [1.1, 7.1], [2.1, 1.1]] + ) + + mesh = aa.Mesh2DDelaunay( + values=mesh_grid, + source_plane_data_grid_over_sampled=grid_2d_sub_1_7x7.over_sampled, + ) + + voronoi_areas = mesh.voronoi_areas + + assert voronoi_areas[1] == pytest.approx(1.39137102, 1.0e-4) + assert voronoi_areas[3] == pytest.approx(29.836324, 1.0e-4) + assert voronoi_areas[4] == pytest.approx(-1.0, 1.0e-4) diff --git a/test_autoarray/structures/mesh/test_rectangular.py b/test_autoarray/structures/mesh/test_rectangular.py index 431cf4867..a693fd292 100644 --- a/test_autoarray/structures/mesh/test_rectangular.py +++ b/test_autoarray/structures/mesh/test_rectangular.py @@ -24,28 +24,6 @@ def test__neighbors__compare_to_mesh_util(): assert (mesh.neighbors.sizes == neighbors_sizes_util).all() -def test__edge_pixel_list(): - grid = aa.Grid2DIrregular( - [ - [-1.0, -1.0], - [-1.0, 0.0], - [-1.0, 1.0], - [0.0, -1.0], - [0.0, 0.0], - [0.0, 1.0], - [1.0, -1.0], - [1.0, 0.0], - [1.0, 1.0], - ] - ) - - mesh = aa.Mesh2DRectangularUniform.overlay_grid( - shape_native=(3, 3), grid=grid, buffer=1e-8 - ) - - assert mesh.edge_pixel_list == [0, 1, 2, 3, 5, 6, 7, 8] - - def test__shape_native_and_pixel_scales(): grid = aa.Grid2DIrregular( [ diff --git a/test_autoarray/structures/mesh/test_voronoi.py b/test_autoarray/structures/mesh/test_voronoi.py deleted file mode 100644 index 6e3fa5887..000000000 --- a/test_autoarray/structures/mesh/test_voronoi.py +++ /dev/null @@ -1,290 +0,0 @@ -import numpy as np -import pytest -import scipy.spatial - -from autoarray import exc -import autoarray as aa - - -def test__neighbors__compare_to_mesh_util(): - # 9 points in a square - makes a square (this is the example int he scipy documentaiton page) - - grid = np.array( - [ - [3.0, 0.0], - [2.0, 1.0], - [2.0, 2.0], - [8.0, 3.0], - [1.0, 3.0], - [1.0, 9.0], - [6.0, 31.0], - [0.0, 2.0], - [3.0, 5.0], - ] - ) - - mesh = aa.Mesh2DVoronoi(values=grid) - - voronoi = scipy.spatial.Voronoi( - np.asarray([grid[:, 1], grid[:, 0]]).T, qhull_options="Qbb Qc Qx Qm" - ) - - (neighbors_util, neighbors_sizes_util) = aa.util.mesh_numba.voronoi_neighbors_from( - pixels=9, ridge_points=np.array(voronoi.ridge_points) - ) - - assert (mesh.neighbors == neighbors_util).all() - assert (mesh.neighbors.sizes == neighbors_sizes_util).all() - - -def test__mesh_areas(): - grid = np.array( - [ - [-2.0, 0.0], - [-np.sqrt(2), np.sqrt(2)], - [0.0, 0.0], - [0.0, 2.0], - [np.sqrt(2), np.sqrt(2)], - [2.0, 0.0], - [np.sqrt(2), -np.sqrt(2)], - [0.0, -2.0], - [-np.sqrt(2), -np.sqrt(2)], - ] - ) - - mesh = aa.Mesh2DVoronoi(values=grid) - - assert mesh.voronoi_pixel_areas_for_split == pytest.approx( - np.array( - [ - -0.1372583, - -0.1372583, - -0.1372583, - -0.1372583, - -0.1372583, - -0.1372583, - -0.1372583, - -0.1372583, - -0.1372583, - ] - ), - 1e-6, - ) - - -def test__mesh_grid__attributes(): - mesh = aa.Mesh2DVoronoi( - values=np.array([[1.0, 1.0], [2.0, 2.0], [3.0, 3.0], [1.0, 4.0]]), - ) - - assert type(mesh) == aa.Mesh2DVoronoi - assert (mesh == np.array([[1.0, 1.0], [2.0, 2.0], [3.0, 3.0], [1.0, 4.0]])).all() - - -def test__edge_pixel_list(): - grid = np.array( - [ - [1.0, -1.0], - [1.0, 0.0], - [1.0, 1.0], - [0.0, -1.0], - [0.0, 0.0], - [0.0, 1.0], - [-1.0, -1.0], - [-1.0, 0.0], - [-1.0, 1.0], - ] - ) - - mesh = aa.Mesh2DVoronoi(values=grid) - - assert mesh.edge_pixel_list == [0, 1, 2, 3, 5, 6, 7, 8] - - -def test__from_shape_and_grid(): - mask = aa.Mask2D( - mask=np.array( - [[True, False, True], [False, False, False], [True, False, True]] - ), - pixel_scales=(0.5, 0.5), - ) - - image_mesh = aa.image_mesh.Overlay( - shape=(10, 10), - ) - - image_plane_mesh_grid = image_mesh.image_plane_mesh_grid_from( - mask=mask, adapt_data=None - ) - - mesh = aa.Mesh2DVoronoi( - values=image_plane_mesh_grid, - ) - - assert (image_plane_mesh_grid == mesh).all() - - -def test__voronoi_grid__simple_shapes_make_voronoi_grid_correctly(): - # 9 points in a square - makes a square (this is the example int he scipy documentaiton page) - - grid = np.array( - [ - [2.0, 0.0], - [2.0, 1.0], - [2.0, 2.0], - [1.0, 0.0], - [1.0, 1.0], - [1.0, 2.0], - [0.0, 0.0], - [0.0, 1.0], - [0.0, 2.0], - ] - ) - - mesh = aa.Mesh2DVoronoi(values=grid) - - assert ( - mesh.voronoi.points - == np.array( - [ - [0.0, 2.0], - [1.0, 2.0], - [2.0, 2.0], - [0.0, 1.0], - [1.0, 1.0], - [2.0, 1.0], - [0.0, 0.0], - [1.0, 0.0], - [2.0, 0.0], - ] - ) - ).all() - - # 5 points in the shape of the face of a 5 on a die - makes a diamond Voronoi diagram - - grid = np.array([[-1.0, 1.0], [1.0, 1.0], [0.0, 0.0], [-1.0, -1.0], [1.0, -1.0]]) - - mesh = aa.Mesh2DVoronoi(values=grid) - - mesh.voronoi.vertices = list(map(lambda x: list(x), mesh.voronoi.vertices)) - - assert [0, 1.0] in mesh.voronoi.vertices - assert [-1.0, 0.0] in mesh.voronoi.vertices - assert [1.0, 0.0] in mesh.voronoi.vertices - assert [0.0, -1.0] in mesh.voronoi.vertices - - # 9 points in a square - makes a square (this is the example int he scipy documentaiton page) - - grid = np.array( - [ - [2.0, 0.0], - [2.0, 1.0], - [2.0, 2.0], - [1.0, 0.0], - [1.0, 1.0], - [1.0, 2.0], - [0.0, 0.0], - [0.0, 1.0], - [0.0, 2.0], - ] - ) - - mesh = aa.Mesh2DVoronoi(values=grid) - - # ridge points is a numpy array for speed, but convert to list for the comparisons below so we can use in - # to look for each list - - mesh.voronoi.vertices = list(map(lambda x: list(x), mesh.voronoi.vertices)) - - assert [0.5, 1.5] in mesh.voronoi.vertices - assert [1.5, 0.5] in mesh.voronoi.vertices - assert [0.5, 0.5] in mesh.voronoi.vertices - assert [1.5, 1.5] in mesh.voronoi.vertices - - # 9 points in a square - makes a square (this is the example int he scipy documentaiton page) - - grid = np.array( - [ - [2.0, 0.0], - [2.0, 1.0], - [2.0, 2.0], - [1.0, 0.0], - [1.0, 1.0], - [1.0, 2.0], - [0.0, 0.0], - [0.0, 1.0], - [0.0, 2.0], - ] - ) - - mesh = aa.Mesh2DVoronoi(values=grid) - - # ridge points is a numpy array for speed, but convert to list for the comparisons below so we can use in - # to look for each list - - mesh.voronoi.ridge_grid = list(map(lambda x: list(x), mesh.voronoi.ridge_points)) - - assert len(mesh.voronoi.ridge_points) == 12 - - assert [0, 1] in mesh.voronoi.ridge_points or [1, 0] in mesh.voronoi.ridge_points - assert [1, 2] in mesh.voronoi.ridge_points or [2, 1] in mesh.voronoi.ridge_points - assert [3, 4] in mesh.voronoi.ridge_points or [4, 3] in mesh.voronoi.ridge_points - assert [4, 5] in mesh.voronoi.ridge_points or [5, 4] in mesh.voronoi.ridge_points - assert [6, 7] in mesh.voronoi.ridge_points or [7, 6] in mesh.voronoi.ridge_points - assert [7, 8] in mesh.voronoi.ridge_points or [8, 7] in mesh.voronoi.ridge_points - - assert [0, 3] in mesh.voronoi.ridge_points or [3, 0] in mesh.voronoi.ridge_points - assert [1, 4] in mesh.voronoi.ridge_points or [4, 1] in mesh.voronoi.ridge_points - assert [4, 7] in mesh.voronoi.ridge_points or [7, 4] in mesh.voronoi.ridge_points - assert [2, 5] in mesh.voronoi.ridge_points or [5, 2] in mesh.voronoi.ridge_points - assert [5, 8] in mesh.voronoi.ridge_points or [8, 5] in mesh.voronoi.ridge_points - assert [3, 6] in mesh.voronoi.ridge_points or [6, 3] in mesh.voronoi.ridge_points - - -def test__qhull_error_is_caught(): - grid = np.array([[3.0, 0.0]]) - mesh = aa.Mesh2DVoronoi(values=grid) - - with pytest.raises(exc.MeshException): - mesh.voronoi - - -def _test__interpolated_array_from(): - grid = aa.Grid2D( - [[0.0, 0.0], [1.1, 0.6], [2.1, 0.1], [0.4, 1.1], [1.1, 7.1], [2.1, 1.1]], - shape_native=(3, 2), - pixel_scales=1.0, - ) - - mesh = aa.Mesh2DVoronoi(values=grid) - - interpolated_array = mesh.interpolated_array_from( - values=np.array([1.0, 2.0, 3.0, 4.0, 5.0, 6.0]), - shape_native=(3, 2), - use_nn=True, - ) - - assert interpolated_array.native == pytest.approx( - np.array([[3.0, 5.0], [2.0, 5.0], [1.0, 5.0]]), 1.0e-4 - ) - - interpolated_array = mesh.interpolated_array_from( - values=np.array([1.0, 2.0, 3.0, 4.0, 5.0, 6.0]), - shape_native=(2, 3), - use_nn=True, - ) - - assert interpolated_array.native == pytest.approx( - np.array([[3.0, 6.0, 5.0], [1.0, 4.0, 5.0]]), 1.0e-4 - ) - - interpolated_array = mesh.interpolated_array_from( - values=np.array([1.0, 2.0, 3.0, 4.0, 5.0, 6.0]), - extent=(-0.4, 0.4, -0.4, 0.4), - shape_native=(2, 3), - use_nn=True, - ) - - assert interpolated_array.native == pytest.approx( - np.array([[1.0, 1.0, 1.907233], [1.0, 1.0, 1.0]]), 1.0e-4 - ) diff --git a/test_autoarray/util/test_nn.py b/test_autoarray/util/test_nn.py deleted file mode 100644 index ce051f1ea..000000000 --- a/test_autoarray/util/test_nn.py +++ /dev/null @@ -1,107 +0,0 @@ -import autoarray as aa -import numpy as np - -import pytest - - -def test__returning_weights_correct(): - pytest.importorskip( - "autoarray.util.nn.nn_py", - reason="Voronoi C library not installed, see util.nn README.md", - ) - - from autoarray.util.nn import nn_py - - mesh_grid = aa.Grid2D.no_mask( - values=[ - [1.0, 1.0], - [0.0, 1.0], - [-1.0, 1.0], - [-1.0, 0.0], - [-1.0, -1.0], - [0.0, -1.0], - [1.0, -1.0], - [1.0, 0.0], - [0.0, 0.0], - ], - shape_native=(3, 3), - pixel_scales=1.0, - ) - - interpolate_grid = aa.Grid2D.no_mask( - [[0.5, 0.5], [-0.5, 0.5]], shape_native=(2, 1), pixel_scales=1.0 - ) - - max_nneighbours = int(30) - - weights, neighbour_indexes = nn_py.natural_interpolation_weights( - mesh_grid[:, 1], - mesh_grid[:, 0], - interpolate_grid[:, 1], - interpolate_grid[:, 0], - max_nneighbours, - ) - - weights_answer = np.zeros((2, max_nneighbours)) - weights_answer[0][:4] = 0.25 - weights_answer[1][:4] = 0.25 - - indexes_answer = np.zeros((2, max_nneighbours), dtype=np.intc) - 1 - indexes_answer[0][0] = 7 - indexes_answer[0][1] = 1 - indexes_answer[0][2] = 0 - indexes_answer[0][3] = 8 - - indexes_answer[1][0] = 8 - indexes_answer[1][1] = 2 - indexes_answer[1][2] = 1 - indexes_answer[1][3] = 3 - - assert (neighbour_indexes == indexes_answer).all() - - assert (weights == weights_answer).all() - - -def test__nn_interpolation_correct(): - pytest.importorskip( - "autoarray.util.nn.nn_py", - reason="Voronoi C library not installed, see util.nn README.md", - ) - - from autoarray.util.nn import nn_py - - mesh_grid = aa.Grid2D.no_mask( - values=[ - [1.0, 1.0], - [0.0, 1.0], - [-1.0, 1.0], - [-1.0, 0.0], - [-1.0, -1.0], - [0.0, -1.0], - [1.0, -1.0], - [1.0, 0.0], - [0.0, 0.0], - ], - shape_native=(3, 3), - pixel_scales=1.0, - ) - - input_values = np.array([1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0]) - - interpolate_grid = aa.Grid2D.no_mask( - values=[[0.5, 0.5], [-0.5, 0.5], [2.0, 2.0]], - shape_native=(3, 1), - pixel_scales=1.0, - ) - - interpolated_values = nn_py.natural_interpolation( - mesh_grid[:, 1], - mesh_grid[:, 0], - input_values, - interpolate_grid[:, 1], - interpolate_grid[:, 0], - ) - - answer = np.array([5.0, 4.5, 1.0]) - - assert (interpolated_values == answer).all()