Callbacks

Makefile

@@ -1,5 +1,5 @@
 HEADERS=coxeter.h thickenings.h queue.h bitvec.h
-OPTIONS=-O3 -m64 -march=native -flto -funroll-loops -std=gnu99 -Winline
+OPTIONS=-O3 -m64 -march=native -flto -funroll-loops -std=gnu99 -D_GNU_SOURCE -Winline
 #OPTIONS=-m64 -march=native -O0 -g -std=gnu99
 #OPTIONS=-O3 -m64 -march=native -funroll-loops -fno-inline -std=gnu99 -pg
 

bitvec.h

@@ -12,11 +12,9 @@
  * See the file LICENSE for details.
  ********************************************************************/
 
-
 #ifndef __BITVEC_H__
 #define __BITVEC_H__ 1
 
-#define _GNU_SOURCE
 #include <string.h>
 
 #include <inttypes.h>

generate.c

@@ -1,9 +1,20 @@
-#include <string.h>
+#include "thickenings.h"
-#include <stdio.h>
-
 #include "coxeter.h"
 #include "queue.h"
-#include "thickenings.h"
+
+#include <strings.h>
+#include <stdio.h>
+
+void balanced_thickening_callback(const bitvec_t *pos, int size, void *data)
+{
+  static long totcount = 0;
+
+  if((++totcount) % 100000000 == 0) {
+    fprintf(stderr, "Found balanced ideal: ");
+    bv_print(stderr, pos, size/2);
+    fprintf(stderr, "\n");
+  }
+}
 
 int main(int argc, const char *argv[])
 {
@@ -63,6 +74,8 @@ int main(int argc, const char *argv[])
 
   fprintf(stderr, "Rank: %d\tOrder: %d\tPositive Roots: %d\tCosets: %d\n", rank, order, hyperplanes, cosets);
   fprintf(stderr, "\n");
+
+  /*
   fprintf(stderr, "Shortest coset representatives: \n");
   for(int i = 0, wl = 0; i < cosets; i++) {
     if(i == 0) {
@@ -74,6 +87,7 @@ int main(int argc, const char *argv[])
       fprintf(stderr, "%s ", alphabetize(graph[i].word, graph[i].wordlength, alphabet, string_buffer1));
   }
   fprintf(stderr, "\n\n");
+  */
 
   fixpoints = 0;
   for(int i = 0; i < cosets; i++)
@@ -88,14 +102,12 @@ int main(int argc, const char *argv[])
   if(fixpoints > 0) {
     fprintf(stderr, "\n\n");
   } else {
-
-    // enumerate balanced thickenings
     fwrite(&type.n, sizeof(int), 1, stdout);
     fwrite(type.factors, sizeof(simple_type_t), type.n, stdout);
     fwrite(&left_invariance, sizeof(unsigned long), type.n, stdout);
     fwrite(&right_invariance, sizeof(unsigned long), type.n, stdout);
 
-    long count = enumerate_balanced_thickenings(type, graph, cosets, alphabet, stdout);
+    long count = enumerate_balanced_thickenings(graph, cosets, balanced_thickening_callback, (void*)0);
 
     fprintf(stderr, "Found %ld balanced thickenings\n\n", count);
   }

thickenings.c

@@ -1,5 +1,3 @@
-#define _GNU_SOURCE
-
 #include <stdio.h>
 #include <limits.h>
 #include <stdlib.h>
@@ -10,8 +8,6 @@
 #include "coxeter.h"
 #include "queue.h"
 
-#define BV_QWORD_RANK 10
-#include "bitvec.h"
 
 char *alphabetize(int *word, int len, const char *alphabet, char *buffer)
 {
@@ -568,30 +564,27 @@ void graph_free(semisimple_type_t type, node_t *graph)
 
 typedef struct {
   int size;        // the size of the weyl group. We store however only the first size/2 elements
-  FILE *outfile;
   bitvec_t *principal_pos;
   bitvec_t *principal_neg;
   int *principal_is_slim;
+  void (*callback)(const bitvec_t *, int, void*);
+  void *callback_data;
 } enumeration_info_t;
 
 /*
+  This function enumerates all balanced ideals satisfying certain constraints, given by its arguments pos, neg and next_neg
 
-   pos and neg are bitvectors of size info.size/2
+  - info: constant information which just gets passed on to recursive calls, mainly contains the principal ideals
-   they stand for the first (shortest) info.size/2 elements of the weyl group
+  - pos: a set of elements which have to be positive (that is, in the ideal)
-   the least siginficant bit is the identity
+  - neg: a set of elements which have to be negative (not in the ideal)
+  - next_neg: this element has to be the first negative one not already contained in neg; if next_neg is info.size/2, then everything not in neg has to be positive
+  - already_known: not a constraint, but just a hint to speed things up; tells the function that the first already_known elements are set either in neg or in pos; must be less or equal to next_neg
+  - returns number of balanced ideals found
 
-   at the beginning they are cleared, meaning everything is undecided
+  uses the bitvector functions bv_union, bv_copy, bv_set_range_except, bv_disjoint, bv_next_zero
  */
 
-
+static long enumerate_tree(const enumeration_info_t *info, const bitvec_t *pos, const bitvec_t *neg, int next_neg, int already_known)
-// enumerate all balanced ideals which contain everything in pos and everything strictly between known_until and next_neg, and which do not contain everything in neg, as well as next_neg
-// assuming all bits up to known_until are set either in pos or in neg, but not in both
-// returns number of found balanced ideals
-// next_neg can be info.size/2; in that case, everything between known_until and info.size/2 is required to be in the ideal, but it does not mean that next_neg is really not contained in the ideal
-// next_neg must be strictly greater than known_until, and less or equal to info.size/2
-// we use bv_union, bv_copy, bv_set_range_except, bv_disjoint, bv_next_zero
-
-static long enumerate_tree(const enumeration_info_t *info, const bitvec_t *pos, const bitvec_t *neg, int first_unknown, int next_neg)
 {
   static long totcount = 0;
   bitvec_t newpos, newneg, known;
@@ -601,7 +594,8 @@ static long enumerate_tree(const enumeration_info_t *info, const bitvec_t *pos,
   // the omission of next_neg means inclusion of info->size - 1 - next_neg
   // add its principal ideal to pos and the opposite to neg
   if(next_neg != info->size/2) {
-    //     if(!info->principal_is_slim[info->size - 1 - next_neg]) // if the principal ideal we want to add is not slim by itself, we don't even have to try; but there is not really a performance benefit
+    // if the principal ideal we want to add is not slim by itself, we don't even have to try; but there is not really a performance benefit, it rather makes it slower
+    //    if(!info->principal_is_slim[info->size - 1 - next_neg])
     //      return 0;
     bv_union(&info->principal_pos[info->size - 1 - next_neg], pos, &newpos);
     bv_union(&info->principal_neg[info->size - 1 - next_neg], neg, &newneg);
@@ -610,8 +604,8 @@ static long enumerate_tree(const enumeration_info_t *info, const bitvec_t *pos,
     bv_copy(neg, &newneg);
   }
 
-  // everything before next_neg which was unknown should be set to positive; to speed this up, we can start with first_unknown
+  // everything before next_neg which was unknown should be set to positive; to speed this up, we can start with already_known
-  bv_set_range_except(&newpos, neg, first_unknown, next_neg);
+  bv_set_range_except(&newpos, neg, already_known, next_neg);
 
   // check if this leads to any conflicts (equivalently, violates slimness)
   if(!bv_disjoint(&newpos, &newneg))
@@ -623,25 +617,32 @@ static long enumerate_tree(const enumeration_info_t *info, const bitvec_t *pos,
   next_next_neg = bv_next_zero(&known, next_neg + 1);
 
   if(next_next_neg >= info->size/2) {
-
+    // there is no unknown left, so we found a balanced ideal
-    if((++totcount) % 100000000 == 0) {
+    if(info->callback)
-      fprintf(stderr, "Found balanced ideal: ");
+      info->callback(&newpos, info->size, info->callback_data);
-      bv_print(stderr, &newpos, info->size/2);
-      fprintf(stderr, "\n");
-    }
-
     return 1;
   }
 
   do {
-    count += enumerate_tree(info, &newpos, &newneg, next_neg + 1, next_next_neg);
+    count += enumerate_tree(info, &newpos, &newneg, next_next_neg, next_neg + 1);
     next_next_neg = bv_next_zero(&known, next_next_neg + 1);
   } while(next_next_neg <= info->size/2);
 
   return count;
 }
 
-long enumerate_balanced_thickenings(semisimple_type_t type, node_t *graph, int size, const char *alphabet, FILE *outfile)
+/*
+   enumerates all balanced ideals
+
+   - graph: hasse diagram of the bruhat order (of double cosets) with opposition pairing
+   - size: number of nodes in graph
+   - callback to call when a balanced ideal was found
+   - arbitrary data for callback function
+
+   returns the number of balanced ideals
+*/
+
+long enumerate_balanced_thickenings(node_t *graph, int size, void (*callback) (const bitvec_t *, int, void*), void *callback_data)
 {
   signed char *level;
   long count = 0;
@@ -651,22 +652,19 @@ long enumerate_balanced_thickenings(semisimple_type_t type, node_t *graph, int s
   edgelist_t *edge;
 
   info.size = size;
-  info.outfile = outfile;
+  info.callback = callback;
+  info.callback_data = callback_data;
   info.principal_pos = (bitvec_t*)malloc(info.size*sizeof(bitvec_t));
   info.principal_neg = (bitvec_t*)malloc(info.size*sizeof(bitvec_t));
   info.principal_is_slim = (int*)malloc(info.size*sizeof(int));
 
-  //  info.printstep = 0;
-  //  if(getenv("PRINTSTEP"))
-  //    info.printstep = atoi(getenv("PRINTSTEP"));
-
   // the algorithm only works if the opposition pairing does not stabilize any element
   // if this happens, there can be no balanced thickenings
   for(int i = 0; i < info.size; i++)
     if(graph[i].opposite == i)
       return 0;
 
- // we can only handle bitvectors up to 64*BV_QWORD_RANK bits, but we only store half of the weyl group
+  // we can only handle bitvectors up to 64*BV_QWORD_RANK bits, but we only store half of the weyl group
   if(info.size > 128*BV_QWORD_RANK)
     return -1;
 
@@ -705,7 +703,7 @@ long enumerate_balanced_thickenings(semisimple_type_t type, node_t *graph, int s
   bv_clear(&pos);
   bv_clear(&neg);
   for(int i = 0; i <= info.size/2; i++)
-    count += enumerate_tree(&info, &pos, &neg, 0, i);
+    count += enumerate_tree(&info, &pos, &neg, i, 0);
 
   free(info.principal_is_slim);
   free(info.principal_pos);

thickenings.h

@@ -1,6 +1,9 @@
 #ifndef THICKENINGS_H
 #define THICKENINGS_H
 
+#define BV_QWORD_RANK 10
+#include "bitvec.h"
+
 #include "coxeter.h"
 
 #define DEBUG(msg, ...) do{fprintf(stderr, msg, ##__VA_ARGS__); }while(0)
@@ -30,13 +33,13 @@ char *alphabetize(int *word, int len, const char *alphabet, char *buffer);
 void print_thickening(int rank, int order, const signed char *thickening, int level, const char *alphabet, FILE *f);
 
 // generating the graph of the bruhat order
+node_t *graph_alloc(semisimple_type_t type);
+void graph_free(semisimple_type_t type, node_t *graph);
 void prepare_graph(semisimple_type_t type, node_t *graph);
 int prepare_simplified_graph(semisimple_type_t type, unsigned long left, unsigned long right, node_t *simplified_graph);
 
-// enumerate balanced thickenings
+// enumerating balanced thickenings
-long enumerate_balanced_thickenings(semisimple_type_t type, node_t *graph, int size, const char *alphabet, FILE *outfile);
+long enumerate_balanced_thickenings(node_t *graph, int size, void (*callback) (const bitvec_t *, int, void*), void *callback_data);
-node_t *graph_alloc(semisimple_type_t type);
-void graph_free(semisimple_type_t type, node_t *graph);
 
 // various helper functions
 static int compare_wordlength(const void *a, const void *b, void *gr);