deleted test.c
This commit is contained in:
Florian Stecker
parent
993ccfd457
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302
test.c
302
test.c
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#include <stdio.h>
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#include <memory.h>
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#include "thickenings.h"
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#include "queue.h"
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#define SWAP(t, a, b) do {t tmp = a; a = b; b = tmp;} while(0)
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int edgelist_contains(edgelist_t *list, int needle) {
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while(list) {
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if(list->to == needle)
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return 1;
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list = list->next;
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}
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return 0;
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}
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edgelist_t *edgelist_add(edgelist_t *list, int new, edgelist_t *storage, int *storage_index)
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{
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edgelist_t *new_link = &storage[*storage_index];
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new_link->next = list;
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new_link->to = new;
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(*storage_index)++;
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return new_link;
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}
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int main(int argc, const char *argv[])
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{
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unsigned long left_invariance = atoi(argv[2]);
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unsigned long right_invariance = atoi(argv[3]);
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semisimple_type_t type;
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type.n = 1;
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type.factors = (simple_type_t*)malloc(type.n*sizeof(simple_type_t));
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type.factors[0].series = 'B';
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type.factors[0].rank = atoi(argv[1]);
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char alphabet[] = "abcdefghijklmnopqrstuvwxyz";
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char buffer[1024], buffer2[1024];
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node_t *graph;
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int *leftbuf, *rightbuf;
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edgelist_t *edgelists;
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int *words;
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int rank, order, hyperplanes, cosets;
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// initialize
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rank = coxeter_rank(type);
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order = coxeter_order(type);
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hyperplanes = coxeter_hyperplanes(type);
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graph = (node_t*)malloc(order*sizeof(node_t));
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leftbuf = (int*)malloc(order*rank*sizeof(int));
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rightbuf = (int*)malloc(order*rank*sizeof(int));
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edgelists = (edgelist_t*)malloc(4*order*hyperplanes*sizeof(edgelist_t));
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words = (int*)malloc(order*hyperplanes*sizeof(int));
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for(int i = 0; i < order; i++) {
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graph[i].left = &leftbuf[rank*i];
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graph[i].right = &rightbuf[rank*i];
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}
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// generate graph
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cosets = prepare_simplified_graph(type, left_invariance, right_invariance, graph, edgelists, words);
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// do something
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fprintf(stderr, "There are %d double cosets.\n", cosets);
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// cleanup
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free(leftbuf);
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free(rightbuf);
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free(graph);
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free(edgelists);
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free(words);
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}
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/*
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int main(int argc, const char *argv[])
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{
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semisimple_type_t type;
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node_t *graph;
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int *leftbuf, *rightbuf;
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edgelist_t *edgelists;
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edgelist_t *edgelists_simplified;
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int edgelists_simplified_used;
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int *words;
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int rank, order, max_wordlength;
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int *reduced, *group, *simplified;
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int *seen;
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int current;
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edgelist_t *edge, *previous;
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queue_t queue;
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char alphabet[] = "abcdefghijklmnopqrstuvwxyz";
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char buffer[1024], buffer2[1024];
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int ncosets;
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node_t *simplified_graph;
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// left and right invariances as bitmasks
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// int left = ~(1 << (atoi(argv[1]) - atoi(argv[3])));
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// int right = ~(1 << (atoi(argv[1]) - atoi(argv[2])));
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int left = atoi(argv[2]);
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int right = atoi(argv[3]);
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type.n = 1;
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type.factors = (simple_type_t*)malloc(type.n*sizeof(simple_type_t));
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type.factors[0].series = 'B';
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type.factors[0].rank = atoi(argv[1]);
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rank = coxeter_rank(type);
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order = coxeter_order(type);
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graph = (node_t*)malloc(order*sizeof(node_t));
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leftbuf = (int*)malloc(rank*order*sizeof(int));
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rightbuf = (int*)malloc(rank*order*sizeof(int));
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for(int i = 0; i < order; i++) {
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graph[i].left = &leftbuf[i*rank];
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graph[i].right = &rightbuf[i*rank];
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}
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prepare_graph(type, graph, &edgelists, &words);
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reduced = (int*)malloc(order*sizeof(int));
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group = (int*)malloc(order*sizeof(int));
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simplified = (int*)malloc(order*sizeof(int));
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for(int i = 0; i < order; i++) {
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group[i] = -1;
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reduced[i] = i;
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}
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// step 1: group
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for(int i = 0; i < order; i++) {
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if(group[i] != -1)
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continue;
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queue_init(&queue);
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queue_put(&queue, i);
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while((current = queue_get(&queue)) != -1) {
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if(group[current] != -1)
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continue;
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group[current] = i;
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for(int j = 0; j < rank; j++) {
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if(left & (1 << j))
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queue_put(&queue, graph[current].left[j]);
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if(right & (1 << j))
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queue_put(&queue, graph[current].right[j]);
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}
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}
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}
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// step 2: find minimum
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for(int i = 0; i < order; i++)
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if(graph[i].wordlength < graph[reduced[group[i]]].wordlength)
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reduced[group[i]] = i;
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// step 3: assign minimum to all
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for(int i = 0; i < order; i++)
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reduced[i] = reduced[group[i]];
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// step 4: assign indices to cosets
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ncosets = 0;
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for(int i = 0; i < order; i++)
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if(reduced[i] == i)
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simplified[i] = ncosets++;
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for(int i = 0; i < order; i++)
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simplified[i] = simplified[reduced[i]];
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fprintf(stderr, "Number of double cosets: %d\n\n", ncosets);
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max_wordlength = coxeter_hyperplanes(type);
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simplified_graph = (node_t*) malloc(ncosets*sizeof(node_t));
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edgelists_simplified = (edgelist_t*) malloc(2*max_wordlength*order*sizeof(edgelist_t));
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seen = (int*) malloc(ncosets*sizeof(int));
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edgelists_simplified_used = 0;
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// step 5: set up nodes from minima
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current = 0;
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for(int i = 0; i < order; i++)
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if(reduced[i] == i) { // is minimum
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simplified_graph[simplified[i]].word = graph[i].word;
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simplified_graph[simplified[i]].wordlength = graph[i].wordlength;
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simplified_graph[simplified[i]].opposite = simplified[graph[i].opposite];
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simplified_graph[simplified[i]].bruhat_lower = (edgelist_t*)0;
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simplified_graph[simplified[i]].bruhat_higher = (edgelist_t*)0;
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}
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// some output
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for(int i = 0; i < ncosets; i++)
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fprintf(stderr, "%s <=> %s\n", simplified_graph[i].wordlength == 0 ? "1" : alphabetize(simplified_graph[i].word, simplified_graph[i].wordlength, alphabet, buffer), simplified_graph[simplified_graph[i].opposite].wordlength == 0 ? "1" : alphabetize(simplified_graph[simplified_graph[i].opposite].word, simplified_graph[simplified_graph[i].opposite].wordlength, alphabet, buffer2));
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// step 6: find order relations
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for(int i = 0; i < order; i++) {
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edge = graph[i].bruhat_lower;
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while(edge) {
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int this = simplified[i];
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int that = simplified[edge->to];
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if(this != that) {
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// found something
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if(!edgelist_contains(simplified_graph[this].bruhat_lower, that))
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simplified_graph[this].bruhat_lower = edgelist_add(simplified_graph[this].bruhat_lower, that, edgelists_simplified, &edgelists_simplified_used);
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ERROR(simplified_graph[this].wordlength <= simplified_graph[that].wordlength, "The order assumption is being violated!\n");
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}
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edge = edge->next;
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}
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}
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fprintf(stderr, "\nAdded %d edges.\n\n", edgelists_simplified_used);
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// step 7: remove redundant edges
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for(int i = 0; i < ncosets; i++) {
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memset(seen, 0, ncosets*sizeof(int));
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queue_init(&queue);
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for(int len = 1; len <= simplified_graph[i].wordlength; len++) {
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edge = simplified_graph[i].bruhat_lower;
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previous = (edgelist_t*)0;
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while(edge) {
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// only look at edges of this length now
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if(simplified_graph[i].wordlength - simplified_graph[edge->to].wordlength != len) {
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// we only consider edges of length len in this pass
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previous = edge;
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} else if(seen[edge->to]) {
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// this edge is redundant, remove it
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// fprintf(stderr, "removing edge from %d to %d\n", i, edge->to);
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if(previous)
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previous->next = edge->next;
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else
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simplified_graph[i].bruhat_lower = edge->next;
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} else {
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// this edge was not redundant, add to seen
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previous = edge;
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seen[edge->to] = 1;
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queue_put(&queue, edge->to);
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}
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edge = edge->next;
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}
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// calculate transitive closure of seen nodes
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while((current = queue_get(&queue)) != -1) {
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edge = simplified_graph[current].bruhat_lower;
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while(edge) {
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if(!seen[edge->to]) {
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seen[edge->to] = 1;
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queue_put(&queue, edge->to);
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}
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edge = edge->next;
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}
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}
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}
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}
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// step 8: revert order
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for(int i = 0; i < ncosets; i++) {
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edge = simplified_graph[i].bruhat_lower;
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while(edge) {
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simplified_graph[edge->to].bruhat_higher =
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edgelist_add(simplified_graph[edge->to].bruhat_higher,
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i, edgelists_simplified, &edgelists_simplified_used);
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edge = edge->next;
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}
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}
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// output as graphviz dot file
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fprintf(stdout, "digraph test123 {\n");
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for(int i = 0; i < ncosets; i++) {
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edge = simplified_graph[i].bruhat_lower;
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while(edge) {
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fprintf(stdout, "%s -> %s;\n",
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alphabetize(simplified_graph[i].word, simplified_graph[i].wordlength, alphabet, buffer),
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alphabetize(simplified_graph[edge->to].word, simplified_graph[edge->to].wordlength, alphabet, buffer2));
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edge = edge->next;
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}
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}
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fprintf(stdout, "}\n");
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long nthickenings = enumerate_balanced_thickenings(type, simplified_graph, ncosets, alphabet, stdout);
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fprintf(stderr, "Found %ld balanced thickenings.\n", nthickenings);
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free(seen);
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free(simplified_graph);
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free(edgelists_simplified);
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free(type.factors);
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free(graph);
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free(edgelists);
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free(words);
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free(reduced);
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free(group);
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free(simplified);
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free(leftbuf);
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free(rightbuf);
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return 0;
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}
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*/
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