diff --git a/dev/symplectic_basis/CuspedCensusData/link-0.tri b/dev/symplectic_basis/CuspedCensusData/link-0.tri index 9e041edce..ecebd9d4a 100644 --- a/dev/symplectic_basis/CuspedCensusData/link-0.tri +++ b/dev/symplectic_basis/CuspedCensusData/link-0.tri @@ -1,28 +1,10 @@ % Triangulation unnamed link -nongeometric_solution 2435.14066764 +geometric_solution 225.74803544 oriented_manifold CS_unknown -27 0 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 0.000000000000 0.000000000000 - torus 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0 + 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 -1 1 -1 0 1 0 -1 1 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0.294272404578 0.870999503275 + + 269 253 253 223 + 2103 2031 2310 3012 + 0 1 1 1 + 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0 1 0 -1 -1 0 1 0 1 -1 0 0 0 1 -1 0 + 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 + 0.026540920546 0.731942153119 + diff --git a/dev/symplectic_basis/symplectic_basis_main.c b/dev/symplectic_basis/symplectic_basis_main.c index 3eb19f91e..b415e7cb3 100644 --- a/dev/symplectic_basis/symplectic_basis_main.c +++ b/dev/symplectic_basis/symplectic_basis_main.c @@ -14,11 +14,11 @@ int main(void) { int i, **eqns, num_rows, num_cols; Triangulation *theTriangulation; - int fromFile = 0; + int fromFile = 2; - int count = 7; + int count = 1; int numTet[] = {6, 7, 7, 7, 7, 7}; - int index[] = {785, 2208, 2652, 2942, 3140, 3507}; + int index[] = {776, 2208, 2652, 2942, 3140, 3507}; char *error[] = {"CuspedCensusData/1.tri", "CuspedCensusData/4.tri", diff --git a/dev/symplectic_basis/test.py b/dev/symplectic_basis/test.py index f407d6f9b..ae1e66118 100644 --- a/dev/symplectic_basis/test.py +++ b/dev/symplectic_basis/test.py @@ -120,7 +120,7 @@ def test_link_complements(self): # test_link_complements_pool(12, 50) # unittest.main() for i in range(10): - L = spherogram.random_link(1000, num_components=random.randint(20, 40), alternating=True) + L = spherogram.random_link(100, num_components=random.randint(3, 10), alternating=True) M = spherogram.Link.exterior(L) print(M.num_cusps()) M.save("CuspedCensusData/link-" + str(i) + ".tri") \ No newline at end of file diff --git a/kernel/kernel_code/symplectic_basis.c b/kernel/kernel_code/symplectic_basis.c index 2d7132b19..19120acdf 100644 --- a/kernel/kernel_code/symplectic_basis.c +++ b/kernel/kernel_code/symplectic_basis.c @@ -8,8 +8,6 @@ #include "SnapPea.h" #include "kernel.h" #include "addl_code.h" -#include "kernel_prototypes.h" -#include "kernel_typedefs.h" #define at_least_two(a, b, c) ((a) && (b)) || ((a) && (c)) || ((b) && (c)) @@ -80,13 +78,23 @@ struct extra { int curve[4][4]; /** oscillating curve holonomy for a cusp triangle */ }; +/* + * Path endpoints can have different states of initialisation. + * As a convention if the pointers tri and region are NULL then + * endpoint is not initialised. If tri is not NULL and region is NULL + * then the endpoint is initialised but the region is not known either + * because it has not been choosen or we have split along the curve. In + * either of the previous cases the tri pointer is still valid. If tri + * is not NULL and region is not NULL then the region pointer is valid + * and tri = region->tri. + */ + typedef struct PathEndPoint { FaceIndex face; /** face containg the short rectangle carrying the curve */ VertexIndex vertex; /** vertex we dive through the manifold along */ int region_index; /** index of the region the endpoint lies in */ - int num_adj_curves[4][4]; /** where the curve dives into the manifold */ struct CuspRegion *region; /** pointer to the region the endpoint lies in */ - struct CuspTriangle *tri; + struct CuspTriangle *tri; /** pointer to the cusp triangle the endpoint lies in */ } PathEndPoint; typedef struct PathNode { @@ -134,13 +142,6 @@ typedef struct CuspVertex { VertexIndex v2; } CuspVertex; -typedef struct CuspEdge { - FaceIndex face; - CuspVertex *v1; - CuspVertex *v2; - struct CuspTriangle *tri; -} CuspEdge; - typedef struct CuspTriangle { Tetrahedron *tet; /** tetrahedron the triangle comes from */ Cusp *cusp; /** cusp the triangle lies in */ @@ -181,8 +182,8 @@ typedef struct ManifoldBoundary { CuspRegion cusp_region_begin; /** header node of doubly linked list of cusp regions */ CuspRegion cusp_region_end; /** tail node of doubly linked list of cusp regions */ int train_line_len; - PathNode *train_line_path_begin; - PathNode *train_line_path_end; + PathNode train_line_path_begin; + PathNode train_line_path_end; PathEndPoint *train_line_endpoint; } ManifoldBoundary; @@ -253,18 +254,18 @@ void find_intersection_triangle(Triangulation *, ManifoldBoun void do_manifold_train_lines(ManifoldBoundary **, EndMultiGraph *); void find_edge_class_edges(ManifoldBoundary **, EndMultiGraph *, PathEndPoint **); -void find_edge_class_edges_on_cusp(ManifoldBoundary *, EndMultiGraph *, PathEndPoint *, Boolean *); +void find_edge_class_edges_on_cusp(ManifoldBoundary *, EndMultiGraph *, PathEndPoint *, const Boolean *); Boolean *update_edge_classes_on_cusp(ManifoldBoundary **, PathEndPoint **, Boolean **, int, int, int); -Graph *construct_edge_class_graph(CuspTriangle *, CuspTriangle *, const Boolean *, int, int); void find_primary_train_line(ManifoldBoundary *, EndMultiGraph *, PathEndPoint *); -void find_train_line_endpoints(ManifoldBoundary **, EndMultiGraph *, PathEndPoint ***, int **, int **); -void find_train_line_endpoints_on_cusp(ManifoldBoundary *, EndMultiGraph *, PathEndPoint **, int *, int *, const Boolean *); -void update_cusp_regions_along_train_line(ManifoldBoundary *); -void convert_path_array_to_path_node(CuspRegion *, CuspRegion *, PathNode *, PathNode *, const int *, int); -PathNode *endpoint_path_point_to_path_node(CuspRegion *, PathEndPoint *, const int *, int); -PathNode *interior_path_point_to_path_node(CuspRegion *, const int *, int); +void do_initial_train_line_segment_on_cusp(ManifoldBoundary *, PathEndPoint *, PathEndPoint *); +void do_train_line_segment_on_cusp(ManifoldBoundary *, PathEndPoint *, PathEndPoint *); +int next_valid_endpoint_index(PathEndPoint *, int, int); +void tri_endpoint_to_region_endpoint(ManifoldBoundary *, PathEndPoint *); +void graph_path_to_path_node(Graph *, EdgeNode *, EdgeNode *, PathNode *, PathNode *, PathEndPoint *, PathEndPoint *); +void split_cusp_regions_along_train_line_segment(ManifoldBoundary *, PathEndPoint *, PathEndPoint *); +void update_cusp_triangle_train_line_endpoints(CuspRegion *, CuspRegion *, CuspRegion *, PathEndPoint *, int); +CuspRegion *split_cusp_region_train_line_endpoint(CuspRegion *, PathEndPoint *, int); CuspRegion *get_region_from_index(CuspRegion *, CuspRegion *, int); -CuspRegion *find_adj_dive_region(CuspRegion *, CuspRegion *, CuspRegion *, int, int); int find_index_in_train_line(CuspRegion *, CuspRegion *, int *, int, int); void print_matrix(int **, int, int); void print_matrix_bool(Boolean **, int, int); @@ -283,20 +284,17 @@ void find_path_endpoints(Graph *, DualCurves *, DualCurves *, Boolean is_valid_endpoint(CuspRegion *, int, int, FaceIndex, VertexIndex); PathEndPoint *find_single_endpoint(Graph *, PathEndPoint *, int, int); PathEndPoint *find_single_matching_endpoint(Graph *, PathEndPoint *, PathEndPoint *, int, int); -void graph_path_to_dual_curve(Graph *g, EdgeNode *, EdgeNode *, DualCurves *); +void graph_path_to_dual_curve(Graph *g, EdgeNode *, EdgeNode *, PathNode *, PathNode *, PathEndPoint *, PathEndPoint *); PathNode *endpoint_edge_node_to_path_node(CuspRegion *, EdgeNode *, PathEndPoint *, int); PathNode *interior_edge_node_to_path_node(CuspRegion *, EdgeNode *); -void split_cusp_regions_along_path(ManifoldBoundary *, DualCurves *); +void split_cusp_regions_along_path(ManifoldBoundary *, PathNode *, PathNode *, PathEndPoint *, PathEndPoint *); CuspRegion *split_cusp_region_path_interior(CuspRegion *, PathNode *, int); CuspRegion *split_cusp_region_path_endpoint(CuspRegion *, PathNode *, PathEndPoint *, int, int); void update_cusp_triangle_path_interior(CuspRegion *, CuspRegion *, CuspRegion *, PathNode *); void update_cusp_triangle_endpoints(CuspRegion *, CuspRegion *, CuspRegion *, PathEndPoint *, PathNode *, int); void copy_region(CuspRegion *, CuspRegion *); -void update_adj_curve_along_path(ManifoldBoundary **, OscillatingCurves *, DualCurves *, DualCurves *, int); -void update_adj_curve_at_endpoint(PathEndPoint *, DualCurves *, DualCurves *); CuspRegion **find_endpoint_region(ManifoldBoundary *, int, int, int *); CuspRegion *find_endpoint_adj_region(ManifoldBoundary *, CuspRegion *, int); -void update_adj_dive(ManifoldBoundary **, int); void update_path_holonomy(DualCurves *, int); void calculate_holonomy(Triangulation *, int **, int); @@ -826,7 +824,7 @@ int *gluing_equations_for_edge_class(Triangulation *manifold, int edgeClass) { * Setup graph and cusp triangulation, and run construct dual curves. */ -static int debug = FALSE; +static int debug = TRUE; int **get_symplectic_equations(Triangulation *manifold, Boolean *edge_classes, int *num_rows, int num_cols) { int i, j, k; @@ -956,7 +954,7 @@ void free_boundary(ManifoldBoundary **cusps, int num_cusps, int num_edge_classes my_free(tri); } - my_free(boundary->train_line_endpoint); +// my_free(boundary->train_line_endpoint); my_free(boundary); } @@ -1486,6 +1484,10 @@ CuspRegion *find_adj_region(CuspRegion *cusp_region_begin, CuspRegion *cusp_regi } void init_train_line(ManifoldBoundary *cusp) { + cusp->train_line_path_begin.next = &cusp->train_line_path_end; + cusp->train_line_path_begin.prev = NULL; + cusp->train_line_path_end.next = NULL; + cusp->train_line_path_end.prev = &cusp->train_line_path_begin; } @@ -1631,6 +1633,7 @@ void print_debug_info(Triangulation *manifold, ManifoldBoundary **cusps, Oscilla DualCurves *path; Graph *g; ManifoldBoundary *boundary; + PathEndPoint *endpoint; if (!debug) return; @@ -1673,8 +1676,26 @@ void print_debug_info(Triangulation *manifold, ManifoldBoundary **cusps, Oscilla printf("Boundary %d\n", i); boundary = cusps[i]; - printf(" Train Line Regions:"); + printf(" Train Line Path:"); + + for (path_node = boundary->train_line_path_begin.next; path_node != &boundary->train_line_path_end; path_node = path_node->next) { + printf(" %d", path_node->cusp_region_index); + } printf("\n"); + + printf(" Train Line Endpoints\n"); + for (j = 0; j < boundary->num_edge_classes; j++) { + if (boundary->train_line_endpoint[j].tri == NULL) + continue; + + endpoint = &boundary->train_line_endpoint[j]; + printf(" Region %d (Tet Index %d, Tet Vertex %d) Face %d Vertex %d Edge Class (%d, %d)\n", + endpoint->region_index, endpoint->tri->tet_index, + endpoint->tri->tet_vertex, endpoint->face, endpoint->vertex, + endpoint->tri->vertices[endpoint->vertex].edge_class, + endpoint->tri->vertices[endpoint->vertex].edge_index); + } + } } else if (flag == 2) { // Region Info @@ -1848,11 +1869,9 @@ void print_debug_info(Triangulation *manifold, ManifoldBoundary **cusps, Oscilla x_vertex1 = (int) remaining_face[path->endpoints[k].region->tet_vertex][path->endpoints[k].vertex]; x_vertex2 = (int) remaining_face[path->endpoints[k].vertex][path->endpoints[k].region->tet_vertex]; - printf("Region %d (Tet Index %d, Tet Vertex %d) Face %d Vertex %d Num Curves (%d, %d) Edge Class (%d, %d)\n", + printf("Region %d (Tet Index %d, Tet Vertex %d) Face %d Vertex %d Edge Class (%d, %d)\n", path->endpoints[k].region_index, path->endpoints[k].region->tet_index, path->endpoints[k].region->tet_vertex, path->endpoints[k].face, path->endpoints[k].vertex, - path->endpoints[k].num_adj_curves[x_vertex1][path->endpoints[k].vertex], - path->endpoints[k].num_adj_curves[x_vertex2][path->endpoints[k].vertex], path->endpoints[k].region->tri->vertices[path->endpoints[k].vertex].edge_class, path->endpoints[k].region->tri->vertices[path->endpoints[k].vertex].edge_index); } @@ -1924,7 +1943,10 @@ CuspTriangle *find_cusp_triangle(CuspTriangle *cusp_triangle_begin, CuspTriangle * choose edges for this cusp and add the corresponding edges on the cusp * at the other end of each edge class and the cusp index to a queue. Then iterate * until the queue is empty, only looking for edges if they have not been found - * yet. + * yet. The edges are stored as path endpoints. A path endpoint which has a non null + * pointer for the tri attribute and a null pointer for the region attribute is an + * edge. To find a curve and split we convert this path endpoint to one with a + * valid region. * * On each cusp, find a path endpoint for the first edge and the second edge. Draw * a curve between them and split. Find a path endpoint for the third edge and @@ -1947,13 +1969,14 @@ void do_manifold_train_lines(ManifoldBoundary **cusps, EndMultiGraph *multi_grap } find_edge_class_edges(cusps, multi_graph, endpoints); - //find_train_line_endpoints(cusps, multi_graph, endpoints, endpoints); for (cusp_index = 0; cusp_index < multi_graph->num_cusps; cusp_index++) { find_primary_train_line(cusps[cusp_index], multi_graph, endpoints[cusp_index]); - update_cusp_regions_along_train_line(cusps[cusp_index]); + cusps[cusp_index]->train_line_endpoint = endpoints[cusp_index]; } + print_debug_info(cusps[0]->manifold, cusps, NULL, 2); + print_debug_info(cusps[0]->manifold, cusps, NULL, 7); print_debug_info(cusps[0]->manifold, cusps, NULL, 1); } @@ -1977,13 +2000,10 @@ void find_edge_class_edges(ManifoldBoundary **cusps, EndMultiGraph *multi_graph, enqueue(queue, 0); - printf("Train Line Graphs\n"); - - print_matrix_bool(edge_classes, multi_graph->num_edge_classes, multi_graph->num_cusps); +// print_matrix_bool(edge_classes, multi_graph->num_edge_classes, multi_graph->num_cusps); while (!empty_queue(queue)) { cusp_index = dequeue(queue); - printf(" Cusp %d\n", cusp_index); found_edge_class = FALSE; for (edge_class = 0; edge_class < multi_graph->num_edge_classes; edge_class++) { @@ -2009,8 +2029,6 @@ void find_edge_class_edges(ManifoldBoundary **cusps, EndMultiGraph *multi_graph, } my_free(visited_cusps); - - printf("--------------------------------------\n"); } for (cusp_index = 0; cusp_index < multi_graph->num_cusps; cusp_index++) { @@ -2026,7 +2044,7 @@ void find_edge_class_edges(ManifoldBoundary **cusps, EndMultiGraph *multi_graph, */ void find_edge_class_edges_on_cusp(ManifoldBoundary *cusp, EndMultiGraph *multi_graph, - PathEndPoint *endpoints, Boolean *edge_classes) { + PathEndPoint *endpoints, const Boolean *edge_classes) { int edge_class; VertexIndex v1, v2; FaceIndex face; @@ -2084,7 +2102,6 @@ Boolean *update_edge_classes_on_cusp(ManifoldBoundary **cusps, PathEndPoint **en int num_cusps, int num_edge_classes, int current_cusp_index) { int cusp_index, other_cusp_index, edge_class; VertexIndex v1, v2, vertex; - FaceIndex face; ManifoldBoundary *cusp = cusps[current_cusp_index]; Boolean *visited_cusp = NEW_ARRAY(num_edge_classes, Boolean); PathEndPoint *endpoint; @@ -2118,8 +2135,8 @@ Boolean *update_edge_classes_on_cusp(ManifoldBoundary **cusps, PathEndPoint **en adj_tri = NULL; - for (tri = cusps[current_cusp_index]->cusp_triangle_begin.next; - tri != &cusps[current_cusp_index]->cusp_triangle_end; + for (tri = cusps[other_cusp_index]->cusp_triangle_begin.next; + tri != &cusps[other_cusp_index]->cusp_triangle_end; tri = tri->next) { if (tri->tet_vertex != vertex || tri->tet_index != endpoint->tri->tet_index) continue; @@ -2147,294 +2164,318 @@ Boolean *update_edge_classes_on_cusp(ManifoldBoundary **cusps, PathEndPoint **en */ void find_primary_train_line(ManifoldBoundary *cusp, EndMultiGraph *multi_graph, PathEndPoint *endpoints) { - int *paths; + int endpoint_start_index, endpoint_finish_index; - //paths = dfs_target_edges(cusp->dual_graph, edges_start, edges_end, multi_graph->num_edge_classes, path_len); -} + endpoint_start_index = next_valid_endpoint_index(endpoints, multi_graph->num_edge_classes, 0); + endpoint_finish_index = next_valid_endpoint_index(endpoints, multi_graph->num_edge_classes, endpoint_start_index); -/* - * Find the endpoints for diving through the manifold on each cusp - * and each edge class of the end multi graph on that cusp. - */ + if (endpoint_start_index == -1 || endpoint_finish_index == -1) { + // no endpoints + return; + } -void find_train_line_endpoints(ManifoldBoundary **cusps, EndMultiGraph *multi_graph, PathEndPoint ***endpoints, - int **edges_begin, int **edges_end) { - int cusp_index; - Queue *queue = init_queue(multi_graph->num_cusps); - Boolean **edge_classes = NEW_ARRAY(multi_graph->num_cusps, Boolean *); + tri_endpoint_to_region_endpoint(cusp, &endpoints[endpoint_start_index]); + tri_endpoint_to_region_endpoint(cusp, &endpoints[endpoint_finish_index]); - for (cusp_index = 0; cusp_index < multi_graph->num_cusps; cusp_index++) { - edge_classes[cusp_index] = edge_classes_on_cusp(multi_graph, cusp_index); - edge_classes[cusp_index][multi_graph->e0] = FALSE; - } + do_initial_train_line_segment_on_cusp(cusp, &endpoints[endpoint_start_index], &endpoints[endpoint_finish_index]); - enqueue(queue, 0); + endpoint_start_index = endpoint_finish_index; + endpoint_finish_index = next_valid_endpoint_index(endpoints, multi_graph->num_edge_classes, endpoint_start_index); - while (!empty_queue(queue)) { - cusp_index = dequeue(queue); + while (endpoint_finish_index != -1) { + tri_endpoint_to_region_endpoint(cusp, &endpoints[endpoint_finish_index]); - find_train_line_endpoints_on_cusp(cusps[cusp_index], - multi_graph, - endpoints[cusp_index], - edges_begin[cusp_index], - edges_end[cusp_index], - edge_classes[cusp_index]); - } + do_train_line_segment_on_cusp(cusp, &endpoints[endpoint_start_index], &endpoints[endpoint_finish_index]); - for (cusp_index = 0; cusp_index < multi_graph->num_cusps; cusp_index++) { - my_free(edge_classes[cusp_index]); + // update endpoint indices + endpoint_start_index = endpoint_finish_index; + endpoint_finish_index = next_valid_endpoint_index(endpoints, multi_graph->num_edge_classes, endpoint_start_index); } - - my_free(edge_classes); } -void find_train_line_endpoints_on_cusp(ManifoldBoundary *cusp, EndMultiGraph *multi_graph, PathEndPoint **endpoints, - int *edges_begin, int *edges_end, const Boolean *edge_classes) { - int edge_class; - CuspRegion *region1, *region2; - FaceIndex face, f; - VertexIndex vertex, v, v1, v2; - - for (edge_class = 0; edge_class < multi_graph->num_edge_classes; edge_class++) { - if (!edge_classes[edge_class]) - continue; - - if (edges_begin[edge_class] == -1) - uFatalError("find_train_line_endpoints_on_cusp", "symplectic_basis"); - - region1 = get_region_from_index(&cusp->cusp_region_begin, &cusp->cusp_region_end, edges_begin[edge_class]); - region2 = get_region_from_index(&cusp->cusp_region_begin, &cusp->cusp_region_end, edges_end[edge_class]); +/* + * Construct the first segment of a train line. Essentially the same process + * as do_one_cusp_to_new_edge_class but stores the result in the cusp train + * line. + */ - face = -1; - for (f = 0; f < 4; f++) { - if (f == region1->tet_vertex) - continue; +void do_initial_train_line_segment_on_cusp(ManifoldBoundary *cusp, PathEndPoint *start_endpoint, PathEndPoint *finish_endpoint) { + EdgeNode *node_begin, *node_end; + Boolean *processed = NEW_ARRAY(cusp->dual_graph->num_vertices, Boolean); + Boolean *discovered = NEW_ARRAY(cusp->dual_graph->num_vertices, Boolean); + int *parent = NEW_ARRAY(cusp->dual_graph->num_vertices, int); - if (!region1->adj_cusp_triangle[f]) - continue; + node_begin = NEW_STRUCT( EdgeNode ); + node_end = NEW_STRUCT( EdgeNode ); - if (region1->adj_cusp_regions[f]->index == region2->index) - face = f; - } + node_begin->next = node_end; + node_begin->prev = NULL; + node_end->next = NULL; + node_end->prev = node_begin; - v1 = remaining_face[region1->tet_vertex][face]; - v2 = remaining_face[face][region1->tet_vertex]; + init_search(cusp->dual_graph, processed, discovered, parent); + bfs(cusp->dual_graph, start_endpoint->region_index, processed, discovered, parent); + find_path(start_endpoint->region_index, start_endpoint->region_index, parent, node_begin); - if (region1->tri->vertices[v1].edge_class == edge_class) - vertex = v1; - else - vertex = v2; + my_free(processed); + my_free(discovered); + my_free(parent); - endpoints[edge_class] = NEW_STRUCT( PathEndPoint ); - endpoints[edge_class]->vertex = vertex; - endpoints[edge_class]->face = face; - endpoints[edge_class]->region = region1; - endpoints[edge_class]->region_index = region1->index; + // split along curve + graph_path_to_dual_curve(cusp->dual_graph, node_begin, node_end, + &cusp->train_line_path_begin, &cusp->train_line_path_end, + start_endpoint, finish_endpoint); + split_cusp_regions_along_path(cusp, &cusp->train_line_path_begin, + &cusp->train_line_path_end, start_endpoint, finish_endpoint); - for (f = 0; f < 4; f++) - for (v = 0; v < 4; v++) - endpoints[edge_class]->num_adj_curves[f][v] = 0; - } + construct_cusp_region_dual_graph(cusp); } /* - * Split the cusp regions along the train line. + * Construct the next train line segment after the first. The start endpoint + * is already set, so we set the region the start endpoint is in to visited + * before starting the breadth first search and instead start from the region + * adjacent across the face of the cusp triangle we dive along. */ -void update_cusp_regions_along_train_line(ManifoldBoundary *cusp) { - int index = 0; - CuspRegion *region, *p_region; - PathNode *path_begin = NEW_STRUCT( PathNode ), - *path_end = NEW_STRUCT( PathNode ); - PathNode *node; +void do_train_line_segment_on_cusp(ManifoldBoundary *cusp, PathEndPoint *start_endpoint, PathEndPoint *finish_endpoint) { + EdgeNode *node; + EdgeNode *node_begin = NEW_STRUCT( EdgeNode ); + EdgeNode *node_end = NEW_STRUCT( EdgeNode ); + Boolean *processed = NEW_ARRAY(cusp->dual_graph->num_vertices, Boolean); + Boolean *discovered = NEW_ARRAY(cusp->dual_graph->num_vertices, Boolean); + int *parent = NEW_ARRAY(cusp->dual_graph->num_vertices, int); + int start = start_endpoint->region->adj_cusp_regions[start_endpoint->face]->index; - path_begin->next = path_end; - path_begin->prev = NULL; - path_end->next = NULL; - path_end->prev = path_begin; + node_begin->next = node_end; + node_begin->prev = NULL; + node_end->next = NULL; + node_end->prev = node_begin; - //convert_path_array_to_path_node(&cusp->cusp_region_begin, &cusp->cusp_region_end, - // path_begin, path_end, cusp->train_line_path, cusp->train_line_len); + init_search(cusp->dual_graph, processed, discovered, parent); + discovered[start_endpoint->region_index] = TRUE; - // interior edges - for (node = path_begin->next; node != path_end; node = node->next) { - p_region = get_region_from_index(&cusp->cusp_region_begin, &cusp->cusp_region_end, node->cusp_region_index); - update_cusp_triangle_path_interior(&cusp->cusp_region_begin, &cusp->cusp_region_end, p_region, node); - region = split_cusp_region_path_interior(p_region, node, index); - INSERT_BEFORE(region, &cusp->cusp_region_end); - index++; - } -} + bfs(cusp->dual_graph, start, processed, discovered, parent); + find_path(start, finish_endpoint->region_index, parent, node_begin); -void convert_path_array_to_path_node(CuspRegion *region_begin, CuspRegion *region_end, PathNode *path_begin, - PathNode *path_end, const int *path, int path_len) { - int i; - PathNode *node; - CuspRegion *region; + node = NEW_STRUCT( EdgeNode ); + node->y = start_endpoint->region_index; + INSERT_AFTER(node, node_begin); - for (i = 1; i < path_len - 1; i++) { - region = get_region_from_index(region_begin, region_end, path[i]); - node = interior_path_point_to_path_node(region, path, i); - INSERT_BEFORE(node, path_end); - } -} + my_free(processed); + my_free(discovered); + my_free(parent); -PathNode *endpoint_path_point_to_path_node(CuspRegion *region, PathEndPoint *path_endpoint, const int *path, int pos) { - int next_node; - FaceIndex face; - VertexIndex vertex1, vertex2; - PathNode *path_node = NEW_STRUCT( PathNode ); - path_node->cusp_region_index = path[pos]; - path_node->tri = region->tri; + // split along curve + graph_path_to_path_node(cusp->dual_graph, node_begin, node_end,&cusp->train_line_path_begin, + &cusp->train_line_path_end, start_endpoint, finish_endpoint); + split_cusp_regions_along_train_line_segment(cusp, start_endpoint, finish_endpoint); - if (pos == 0) - next_node = path[1]; - else - next_node = path[pos - 1]; + construct_cusp_region_dual_graph(cusp); +} - path_node->next_face = -1; - path_node->prev_face = -1; +int next_valid_endpoint_index(PathEndPoint *endpoints, int num_endpoints, int current_index) { + int index; - for (face = 0; face < 4; face++) { - if (face == region->tet_vertex || !region->adj_cusp_triangle[face]) + for (index = current_index + 1; index < num_endpoints; index++) { + if (endpoints[index].tri == NULL) continue; - if (region->adj_cusp_regions[face]->index == next_node) { - path_node->prev_face = face; - path_node->next_face = face; - } + return index; } - // next node isn't in an adjacent region - if (path_node->next_face == -1 || path_node->prev_face == -1) - uFatalError("endpoint_edge_node_to_path_node", "symplectic_basis"); + return -1; +} - if (pos == 0) - path_node->prev_face = path_endpoint->face; - else - path_node->next_face = path_endpoint->face; +/* + * Find a valid region for a path endpoint + */ - vertex1 = remaining_face[region->tet_vertex][path_endpoint->vertex]; - vertex2 = remaining_face[path_endpoint->vertex][region->tet_vertex]; +void tri_endpoint_to_region_endpoint(ManifoldBoundary *cusp, PathEndPoint *endpoint) { + CuspVertex *vertex; + CuspRegion *region; + for (region = cusp->cusp_region_begin.next; region != &cusp->cusp_region_end; region = region->next) { + if (region->tet_index != endpoint->tri->tet_index || region->tet_vertex != endpoint->tri->tet_vertex) + continue; - if (path_node->prev_face == path_endpoint->vertex) { - if (path_endpoint->face == vertex1) - path_node->inside_vertex = vertex2; - else - path_node->inside_vertex = vertex1; - } else if (path_node->prev_face == path_endpoint->face) { - path_node->inside_vertex = -1; - } else { - path_node->inside_vertex = path_endpoint->vertex; - } + vertex = &endpoint->tri->vertices[endpoint->vertex]; - if (path_node->next_face == path_node->prev_face) - return path_node; - //uFatalError("endpoint_edge_node_to_path_node", "symplectic_basis"); + if (!is_valid_endpoint(region, vertex->edge_class, vertex->edge_index, endpoint->face, endpoint->vertex)) + continue; - return path_node; + endpoint->region = region; + endpoint->region_index = region->index; + } + + if (endpoint->region == NULL) + uFatalError("tri_endpoint_to_region_endpoint", "symplectic_basis"); } -PathNode *interior_path_point_to_path_node(CuspRegion *region, const int *path, int pos) { +void graph_path_to_path_node(Graph *g, EdgeNode *node_begin, EdgeNode *node_end, PathNode *path_begin, + PathNode *path_end, PathEndPoint *start_endpoint, PathEndPoint *finish_endpoint) { FaceIndex face; - VertexIndex vertex1, vertex2; - PathNode *path_node = NEW_STRUCT( PathNode ); - path_node->cusp_region_index = path[pos]; - path_node->tri = region->tri; + EdgeNode *edge_node; + PathNode *path_node; + CuspRegion *region; - for (face = 0; face < 4; face++) { - if (face == region->tet_vertex) - continue; + if (node_begin->next == node_end) { + // path len 0 + return; + } else if (node_begin->next->next == node_end) { + // path len 1 + region = g->regions[node_begin->next->y]; + path_end->prev->next_face = start_endpoint->face; - vertex1 = remaining_face[region->tet_vertex][face]; - vertex2 = remaining_face[face][region->tet_vertex]; + path_node = NEW_STRUCT( PathNode ); + INSERT_BEFORE(path_node, path_end); + path_node->next_face = finish_endpoint->face; + path_node->prev_face = EVALUATE(start_endpoint->tri->tet->gluing[start_endpoint->face], start_endpoint->face); + path_node->cusp_region_index = node_begin->next->y; + path_node->tri = region->tri; - if (!region->adj_cusp_triangle[vertex1] || !region->adj_cusp_triangle[vertex2]) - continue; + for (face = 0; face < 4; face++) + if (region->tet_vertex != face && + path_node->next_face != face && + path_node->prev_face != face) + break; - if (region->adj_cusp_regions[vertex1]->index == path[pos + 1] - && region->adj_cusp_regions[vertex2]->index == path[pos - 1]) { - path_node->inside_vertex = face; - path_node->next_face = vertex1; - path_node->prev_face = vertex2; - return path_node; + path_node->inside_vertex = face; + return; + } - } else if (region->adj_cusp_regions[vertex2]->index == path[pos + 1] - && region->adj_cusp_regions[vertex1]->index == path[pos - 1]) { - path_node->inside_vertex = face; - path_node->next_face = vertex2; - path_node->prev_face = vertex1; - return path_node; + // Set Header node + path_end->prev->next_face = start_endpoint->face; - } + for (edge_node = node_begin->next->next; edge_node->next != node_end; edge_node = edge_node->next) { + region = g->regions[edge_node->y]; + path_node = interior_edge_node_to_path_node(region, edge_node); + INSERT_BEFORE(path_node, path_end); } - uFatalError("interior_path_point_to_path_node", "symplectic_basis"); - return NULL; + // Set Tail node + path_node = endpoint_edge_node_to_path_node(g->regions[edge_node->y], edge_node, finish_endpoint, FINISH); + INSERT_BEFORE(path_node, path_end); } -CuspRegion *get_region_from_index(CuspRegion *region_begin, CuspRegion *region_end, int index) { - CuspRegion *region, *retval = NULL; +/* + * Split the cusp regions along the train line. + */ - for (region = region_begin->next; region != region_end; region = region->next) { - if (region->index != index) - continue; +void split_cusp_regions_along_train_line_segment(ManifoldBoundary *cusp, PathEndPoint *start_endpoint, PathEndPoint *finish_endpoint) { + int index = cusp->num_cusp_regions; + FaceIndex face; + PathNode *node, + *path_begin = &cusp->train_line_path_begin, + *path_end = &cusp->train_line_path_end; + CuspRegion *region, *p_region; + Graph *g = cusp->dual_graph; - retval = region; + if (path_begin->next == path_end) { + // empty path + return ; } - if (retval == NULL) { - uFatalError("get_region_from_index", "symplectic_basis"); - return NULL; + p_region = g->regions[start_endpoint->region_index]; + update_cusp_triangle_train_line_endpoints(&cusp->cusp_region_begin, &cusp->cusp_region_end, + p_region, start_endpoint, START); + region = split_cusp_region_train_line_endpoint(p_region, start_endpoint, index); + INSERT_BEFORE(region, &cusp->cusp_region_end); + index++; + + // interior edges + for (node = path_begin->next; node->next != path_end; node = node->next) { + p_region = g->regions[node->cusp_region_index]; + update_cusp_triangle_path_interior(&cusp->cusp_region_begin, &cusp->cusp_region_end, p_region, node); + region = split_cusp_region_path_interior(p_region, node, index); + INSERT_BEFORE(region, &cusp->cusp_region_end); + index++; } - return retval; + // update last region + p_region = g->regions[node->cusp_region_index]; + update_cusp_triangle_endpoints(&cusp->cusp_region_begin, &cusp->cusp_region_end, p_region, finish_endpoint, node, FINISH); + region = split_cusp_region_path_endpoint(p_region, node, finish_endpoint, index, FINISH); + INSERT_BEFORE(region, &cusp->cusp_region_end); + index++; + + update_adj_region_data(&cusp->cusp_region_begin, &cusp->cusp_region_end); + cusp->num_cusp_regions = index; } -CuspRegion *find_adj_dive_region(CuspRegion *region_begin, CuspRegion *region_end, CuspRegion *start_region, int face, int vertex) { - CuspRegion *region; +void update_cusp_triangle_train_line_endpoints(CuspRegion *cusp_region_start, CuspRegion *cusp_region_end, CuspRegion *region, + PathEndPoint *path_endpoint, int pos) { + FaceIndex face1, face2; + CuspRegion *current_region; - for (region = region_begin->next; region != region_end; region = region->next) { - if (region->tet_index != start_region->tet_index) - continue; + face1 = remaining_face[region->tet_vertex][path_endpoint->vertex]; + face2 = remaining_face[path_endpoint->vertex][region->tet_vertex]; - if (region->tet_vertex != vertex) + for (current_region = cusp_region_start->next; current_region != cusp_region_end; current_region = current_region->next) { + if (current_region == NULL || current_region->tet_index == -1) continue; - if (!region->adj_cusp_triangle[face]) + // which triangle are we in? + if (current_region->tet_index != region->tet_index || current_region->tet_vertex != region->tet_vertex) continue; - if (!region->dive[face][start_region->tet_vertex]) - continue; + // Curve goes around the vertex or passes through the face that carries it + if (current_region->curve[path_endpoint->face][path_endpoint->vertex] > region->curve[path_endpoint->face][path_endpoint->vertex]) { + current_region->curve[path_endpoint->face][path_endpoint->vertex]++; + current_region->dive[path_endpoint->face][path_endpoint->vertex] = 0; - return region; + } else if (current_region->curve[path_endpoint->face][path_endpoint->vertex] < region->curve[path_endpoint->face][path_endpoint->vertex]) { + current_region->curve[path_endpoint->face][path_endpoint->face == face1 ? face2 : face1]++; + current_region->dive[path_endpoint->face][path_endpoint->face == face1 ? face2 : face1] = 0; + } } +} - uFatalError("find_adj_dive_region", "symplectic_basis"); - return NULL; +CuspRegion *split_cusp_region_train_line_endpoint(CuspRegion *region, PathEndPoint *path_endpoint, int index) { + VertexIndex vertex1, vertex2; + CuspRegion *new_region = NEW_STRUCT(CuspRegion); + + vertex1 = remaining_face[region->tet_vertex][path_endpoint->vertex]; + vertex2 = remaining_face[path_endpoint->vertex][region->tet_vertex]; + + /* + * Region becomes the cusp region closest to the inside vertex and + * new_region becomes the cusp region on the other side of the oscillating curve + */ + copy_region(region, new_region); + new_region->index = index; + new_region->curve[path_endpoint->face][path_endpoint->vertex]++; + new_region->dive[path_endpoint->face][path_endpoint->vertex] = 0; + new_region->dive[vertex2][vertex1] = region->dive[vertex2][vertex1]; + new_region->dive[path_endpoint->vertex][vertex1] = region->dive[path_endpoint->vertex][vertex1]; + new_region->dive[vertex1][vertex2] = region->dive[vertex1][vertex2]; + new_region->dive[path_endpoint->vertex][vertex2] = region->dive[path_endpoint->vertex][vertex2]; + + region->curve[path_endpoint->face][path_endpoint->vertex == vertex1 ? vertex2 : vertex1]++; + region->dive[path_endpoint->face][path_endpoint->vertex == vertex1 ? vertex2 : vertex1] = 0; + region->dive[vertex2][vertex1] = 0; + region->dive[path_endpoint->vertex][vertex1] = 0; + region->dive[vertex1][vertex2] = 0; + region->dive[path_endpoint->vertex][vertex2] = 0; + region->adj_cusp_triangle[vertex1] = FALSE; + region->adj_cusp_triangle[vertex2] = FALSE; + + return new_region; } -int find_index_in_train_line(CuspRegion *region_begin, CuspRegion *region_end, int *path, int path_len, int edge_class) { - int index, retval = -1; - CuspRegion *region; - FaceIndex face; - VertexIndex vertex; +CuspRegion *get_region_from_index(CuspRegion *region_begin, CuspRegion *region_end, int index) { + CuspRegion *region, *retval = NULL; - for (index = 0; index < path_len; index++) { - region = get_region_from_index(region_begin, region_end, path[index]); + for (region = region_begin->next; region != region_end; region = region->next) { + if (region->index != index) + continue; - for (face = 0; face < 4; face++) { - for (vertex = 0; vertex < 4; vertex++) { - if (is_valid_endpoint(region, edge_class, 0, face, vertex)) - retval = index; - } - } + retval = region; } - if (retval == -1) { - uFatalError("find_index_in_train_line", "symplectic_basis"); - return 0; + if (retval == NULL) { + uFatalError("get_region_from_index", "symplectic_basis"); + return NULL; } return retval; @@ -2479,13 +2520,12 @@ void do_oscillating_curves(ManifoldBoundary **cusps, OscillatingCurves *curves, int i; for (i = 0; i < curves->num_curves; i++) { + printf("Dual Curve %d - ", i); do_one_dual_curve(cusps, curves, &curves->dual_curve_begin[i], &curves->dual_curve_end[i], multi_graph, curves->edge_class[i], i); - print_debug_info(cusps[0]->manifold, cusps, curves, 2); - print_debug_info(cusps[0]->manifold, cusps, curves, 7); print_debug_info(cusps[0]->manifold, cusps, curves, 5); print_debug_info(cusps[0]->manifold, cusps, curves, 8); } @@ -2523,8 +2563,6 @@ void do_one_dual_curve(ManifoldBoundary **cusps, OscillatingCurves *curves, Dual i = MIDDLE; } - update_adj_curve_along_path(cusps, curves, dual_curve_begin, dual_curve_end, curve_index); - endpoint = cusp_end_point; while (endpoint != NULL) { cusp_end_point = endpoint; @@ -2571,7 +2609,8 @@ void do_one_cusp_to_new_edge_class(ManifoldBoundary *boundary, DualCurves *path) bfs(boundary->dual_graph, path->endpoints[START].region_index, processed, discovered, parent); find_path(path->endpoints[START].region_index, path->endpoints[FINISH].region_index, parent, node_begin); - graph_path_to_dual_curve(boundary->dual_graph, node_begin, node_end, path); + graph_path_to_dual_curve(boundary->dual_graph, node_begin, node_end, &path->curves_begin, + &path->curves_end, &path->endpoints[START], &path->endpoints[FINISH]); // Reallocate memory my_free(processed); @@ -2579,7 +2618,11 @@ void do_one_cusp_to_new_edge_class(ManifoldBoundary *boundary, DualCurves *path) my_free(parent); // Split the regions along the path - split_cusp_regions_along_path(boundary, path); + split_cusp_regions_along_path(boundary, + &path->curves_begin, + &path->curves_end, + &path->endpoints[START], + &path->endpoints[FINISH]); free_graph(boundary->dual_graph); boundary->dual_graph = construct_cusp_region_dual_graph(boundary); @@ -2763,7 +2806,8 @@ PathEndPoint *find_single_matching_endpoint(Graph *g, PathEndPoint *path_endpoin * it cuts off to simplify combinatorial holonomy calculation. */ -void graph_path_to_dual_curve(Graph *g, EdgeNode *node_begin, EdgeNode *node_end, DualCurves *path) { +void graph_path_to_dual_curve(Graph *g, EdgeNode *node_begin, EdgeNode *node_end, PathNode *path_begin, + PathNode *path_end, PathEndPoint *start_endpoint, PathEndPoint *finish_endpoint) { FaceIndex face; EdgeNode *edge_node; PathNode *path_node; @@ -2778,16 +2822,16 @@ void graph_path_to_dual_curve(Graph *g, EdgeNode *node_begin, EdgeNode *node_end if (edge_node->next == node_end) { for (face = 0; face < 4; face++) if (g->regions[edge_node->y]->tet_vertex != face && - path->endpoints[START].vertex != face && - path->endpoints[FINISH].vertex != face) + start_endpoint->vertex != face && + finish_endpoint->vertex != face) break; region = g->regions[edge_node->y]; path_node = NEW_STRUCT( PathNode ); - INSERT_AFTER(path_node, &path->curves_begin); - path_node->next_face = path->endpoints[FINISH].face; - path_node->prev_face = path->endpoints[START].face; + INSERT_BEFORE(path_node, path_end); + path_node->next_face = finish_endpoint->face; + path_node->prev_face = start_endpoint->face; path_node->cusp_region_index = edge_node->y; path_node->tri = region->tri; path_node->inside_vertex = face; @@ -2795,18 +2839,18 @@ void graph_path_to_dual_curve(Graph *g, EdgeNode *node_begin, EdgeNode *node_end } // Set Header node - path_node = endpoint_edge_node_to_path_node(g->regions[edge_node->y], edge_node, &path->endpoints[START], START); - INSERT_BEFORE(path_node, &path->curves_end); + path_node = endpoint_edge_node_to_path_node(g->regions[edge_node->y], edge_node, start_endpoint, START); + INSERT_BEFORE(path_node, path_end); for (edge_node = node_begin->next->next; edge_node->next != node_end; edge_node = edge_node->next) { region = g->regions[edge_node->y]; path_node = interior_edge_node_to_path_node(region, edge_node); - INSERT_BEFORE(path_node, &path->curves_end); + INSERT_BEFORE(path_node, path_end); } // Set Tail node - path_node = endpoint_edge_node_to_path_node(g->regions[edge_node->y], edge_node, &path->endpoints[FINISH],FINISH); - INSERT_BEFORE(path_node, &path->curves_end); + path_node = endpoint_edge_node_to_path_node(g->regions[edge_node->y], edge_node, finish_endpoint, FINISH); + INSERT_BEFORE(path_node, path_end); } PathNode *endpoint_edge_node_to_path_node(CuspRegion *region, EdgeNode *edge_node, PathEndPoint *path_endpoint, int pos) { @@ -2916,19 +2960,20 @@ PathNode *interior_edge_node_to_path_node(CuspRegion *region, EdgeNode *edge_nod * attributes */ -void split_cusp_regions_along_path(ManifoldBoundary *boundary, DualCurves *path) { +void split_cusp_regions_along_path(ManifoldBoundary *boundary, PathNode *path_begin, PathNode *path_end, + PathEndPoint *start_endpoint, PathEndPoint *finish_endpoint) { int index = boundary->num_cusp_regions; FaceIndex face; - PathNode *node = path->curves_begin.next; + PathNode *node = path_begin->next; CuspRegion *region, *p_region; Graph *g = boundary->dual_graph; // empty path - if (node->next == NULL) + if (node == path_end) return ; // path of len 1 - if (node->next->next == NULL) { + if (node->next == path_end) { region = NEW_STRUCT(CuspRegion); p_region = g->regions[node->cusp_region_index]; INSERT_BEFORE(region, &boundary->cusp_region_end) @@ -2937,16 +2982,16 @@ void split_cusp_regions_along_path(ManifoldBoundary *boundary, DualCurves *path) face = node->inside_vertex; region->index = index; - region->adj_cusp_triangle[path->endpoints[START].vertex] = 0; - region->adj_cusp_triangle[path->endpoints[FINISH].vertex] = 0; - region->dive[face][path->endpoints[START].vertex] = TRUE; - region->dive[face][path->endpoints[FINISH].vertex] = TRUE; - region->dive[path->endpoints[START].vertex][path->endpoints[FINISH].vertex] = (Boolean) (face != path->endpoints[FINISH].face); - region->dive[path->endpoints[FINISH].vertex][path->endpoints[START].vertex] = (Boolean) (face != path->endpoints[START].face); + region->adj_cusp_triangle[start_endpoint->vertex] = 0; + region->adj_cusp_triangle[finish_endpoint->vertex] = 0; + region->dive[face][start_endpoint->vertex] = TRUE; + region->dive[face][finish_endpoint->vertex] = TRUE; + region->dive[start_endpoint->vertex][finish_endpoint->vertex] = (Boolean) (face != finish_endpoint->face); + region->dive[finish_endpoint->vertex][start_endpoint->vertex] = (Boolean) (face != start_endpoint->face); p_region->adj_cusp_triangle[face] = 0; - p_region->dive[face][path->endpoints[START].vertex] = (Boolean) (face == path->endpoints[START].face); - p_region->dive[face][path->endpoints[FINISH].vertex] = (Boolean) (face == path->endpoints[FINISH].face); + p_region->dive[face][start_endpoint->vertex] = (Boolean) (face == start_endpoint->face); + p_region->dive[face][finish_endpoint->vertex] = (Boolean) (face == finish_endpoint->face); update_adj_region_data(&boundary->cusp_region_begin, &boundary->cusp_region_end); boundary->num_cusp_regions++; @@ -2962,8 +3007,8 @@ void split_cusp_regions_along_path(ManifoldBoundary *boundary, DualCurves *path) */ p_region = g->regions[node->cusp_region_index]; update_cusp_triangle_endpoints(&boundary->cusp_region_begin, &boundary->cusp_region_end, - p_region, &path->endpoints[START], node, START); - region = split_cusp_region_path_endpoint(p_region, node, &path->endpoints[START], index, START); + p_region, start_endpoint, node, START); + region = split_cusp_region_path_endpoint(p_region, node, start_endpoint, index, START); INSERT_BEFORE(region, &boundary->cusp_region_end); index++; @@ -2978,8 +3023,8 @@ void split_cusp_regions_along_path(ManifoldBoundary *boundary, DualCurves *path) // update last region p_region = g->regions[node->cusp_region_index]; - update_cusp_triangle_endpoints(&boundary->cusp_region_begin, &boundary->cusp_region_end, p_region, &path->endpoints[FINISH], node, FINISH); - region = split_cusp_region_path_endpoint(p_region, node, &path->endpoints[FINISH], index, FINISH); + update_cusp_triangle_endpoints(&boundary->cusp_region_begin, &boundary->cusp_region_end, p_region, finish_endpoint, node, FINISH); + region = split_cusp_region_path_endpoint(p_region, node, finish_endpoint, index, FINISH); INSERT_BEFORE(region, &boundary->cusp_region_end); index++; @@ -3209,70 +3254,6 @@ void update_cusp_triangle_endpoints(CuspRegion *cusp_region_start, CuspRegion *c } } -void update_adj_curve_along_path(ManifoldBoundary **cusps, OscillatingCurves *curves, DualCurves *dual_curve_begin, DualCurves *dual_curve_end, int curve_index) { - int i, j; - DualCurves *curve; - PathEndPoint *path_endpoint; - - // update endpoint curve data - for (i = 0; i < curve_index; i++) { - // which oscillating curve - - for (curve = curves->dual_curve_begin[i].next; curve != &curves->dual_curve_end[i]; curve = curve->next) { - // which component of the curve - - for (j = 0; j < 2; j++) { - // which end point - path_endpoint = &curve->endpoints[j]; - - update_adj_curve_at_endpoint(path_endpoint, dual_curve_begin, dual_curve_end); - } - } - } -} - -void update_adj_curve_at_endpoint(PathEndPoint *path_endpoint, DualCurves *dual_curve_begin, DualCurves *dual_curve_end) { - int i, face1, face2; - DualCurves *path; - PathEndPoint *curve_end_point; - - for (path = dual_curve_begin->next; path != dual_curve_end; path = path->next) { - for (i = 0; i < 2; i++) { - curve_end_point = &path->endpoints[i]; - - // Cusp Triangle - if (curve_end_point->region->tet_index != path_endpoint->region->tet_index || - curve_end_point->region->tet_vertex != path_endpoint->region->tet_vertex) - continue; - - // Dive vertex - if (curve_end_point->vertex != path_endpoint->vertex) - continue; - - // update path data - face1 = (int) remaining_face[path_endpoint->region->tet_vertex][path_endpoint->vertex]; - face2 = (int) remaining_face[path_endpoint->vertex][path_endpoint->region->tet_vertex]; - - if (curve_end_point->face == face1 && path_endpoint->face == face2) - path_endpoint->num_adj_curves[face1][path_endpoint->vertex]++; - else if (curve_end_point->face == face2 && path_endpoint->face == face1) - path_endpoint->num_adj_curves[face2][path_endpoint->vertex]++; - else if (curve_end_point->face == face1 && path_endpoint->face == face1) { - if (path_endpoint->num_adj_curves[face1][path_endpoint->vertex] >= curve_end_point->num_adj_curves[face1][path_endpoint->vertex]) - path_endpoint->num_adj_curves[face1][path_endpoint->vertex]++; - else - path_endpoint->num_adj_curves[face2][path_endpoint->vertex]++; - } else if (curve_end_point->face == face2 && path_endpoint->face == face2) { - if (path_endpoint->num_adj_curves[face2][path_endpoint->vertex] >= curve_end_point->num_adj_curves[face2][path_endpoint->vertex]) - path_endpoint->num_adj_curves[face2][path_endpoint->vertex]++; - else - path_endpoint->num_adj_curves[face1][path_endpoint->vertex]++; - } else - uFatalError("update_adj_curve_at_endpoint", "symplectic_basis"); - } - } -} - /* * Find a list of cusp regions which can dive through the manifold along the * edge with edge class 'edge_class'.