#include "weyl.h" #include "queue.h" #include #include #include static char* alphabetize(weylgroup_element_t *e, char *str) { if(e->wordlength == 0) sprintf(str, "1"); else { for(int j = 0; j < e->wordlength; j++) str[j] = e->word[j] + 'a'; str[e->wordlength] = 0; } return str; } int main(int argc, const char *argv[]) { semisimple_type_t type; unsigned long right_invariance, left_invariance; doublequotient_t *dq; const char *alphabet = "abcdefghijklmnopqrstuvwxyz"; char stringbuffer[100]; char stringbuffer2[100]; ERROR(argc < 2, "Too few arguments!\n"); type.n = 0; for(int i = 0; i < argc - 1; i++) { if(argv[i+1][0] < 'A' || argv[i+1][0] > 'G') break; type.n++; } type.factors = (simple_type_t*)malloc(type.n*sizeof(simple_type_t)); for(int i = 0; i < type.n; i++) { type.factors[i].series = argv[i+1][0]; type.factors[i].rank = argv[i+1][1] - '0'; ERROR(argv[i+1][0] < 'A' || argv[i+1][0] > 'G' || argv[i+1][1] < '1' || argv[i+1][1] > '9', "Arguments must be Xn with X out of A-G and n out of 1-9\n"); } left_invariance = right_invariance = 0; if(argc - type.n >= 3) { if(strcmp(argv[type.n + 1], "-") != 0) for(int i = 0; i < strlen(argv[type.n + 1]); i++) left_invariance |= (1 << (argv[type.n + 1][i] - 'a')); if(strcmp(argv[type.n + 2], "-") != 0) for(int i = 0; i < strlen(argv[type.n + 2]); i++) right_invariance |= (1 << (argv[type.n + 2][i] - 'a')); } // generate graph dq = weyl_generate_bruhat(type, left_invariance, right_invariance); fprintf(stdout, "digraph test123 {\n"); for(int i = 0; i < dq->count; i++) for(doublecoset_list_t *current = dq->cosets[i].bruhat_lower; current; current = current->next) fprintf(stdout, "%s -> %s;\n", alphabetize(dq->cosets[i].min, stringbuffer), alphabetize(current->to->min, stringbuffer2)); fprintf(stdout, "}\n\n"); // clean up weyl_destroy_bruhat(dq); free(type.factors); }