Adapt to coding conventions.
[libfirm] / heuristical.c
index 473079c..ee810e3 100644 (file)
@@ -1,10 +1,41 @@
+/*
+ * Copyright (C) 1995-2008 University of Karlsruhe.  All right reserved.
+ *
+ * This file is part of libFirm.
+ *
+ * This file may be distributed and/or modified under the terms of the
+ * GNU General Public License version 2 as published by the Free Software
+ * Foundation and appearing in the file LICENSE.GPL included in the
+ * packaging of this file.
+ *
+ * Licensees holding valid libFirm Professional Edition licenses may use
+ * this file in accordance with the libFirm Commercial License.
+ * Agreement provided with the Software.
+ *
+ * This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
+ * WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE.
+ */
+
+/**
+ * @file
+ * @brief   Heuristic PBQP solver.
+ * @date    02.10.2008
+ * @author  Sebastian Buchwald
+ * @version $Id$
+ */
+#include "config.h"
+
 #include "adt/array.h"
 #include "assert.h"
 #include "error.h"
 
 #include "bucket.h"
 #include "heuristical.h"
+#include "optimal.h"
+#if    KAPS_DUMP
 #include "html_dumper.h"
+#endif
 #include "kaps.h"
 #include "matrix.h"
 #include "pbqp_edge.h"
 #include "pbqp_node_t.h"
 #include "vector.h"
 
-static pbqp_edge **edge_bucket;
-static pbqp_node **node_buckets[4];
-static pbqp_node **reduced_bucket = NULL;
-static int         buckets_filled = 0;
-
-static void insert_into_edge_bucket(pbqp_edge *edge)
-{
-       if (edge_bucket_contains(edge_bucket, edge)) {
-               /* Edge is already inserted. */
-               return;
-       }
-
-       edge_bucket_insert(&edge_bucket, edge);
-}
-
-static void init_buckets(void)
-{
-       int i;
-
-       edge_bucket_init(&edge_bucket);
-       node_bucket_init(&reduced_bucket);
-
-       for (i = 0; i < 4; ++i) {
-               node_bucket_init(&node_buckets[i]);
-       }
-}
-
-static void free_buckets(void)
-{
-       int i;
-
-       for (i = 0; i < 4; ++i) {
-               node_bucket_free(&node_buckets[i]);
-       }
-
-       edge_bucket_free(&edge_bucket);
-       node_bucket_free(&reduced_bucket);
-
-       buckets_filled = 0;
-}
-
-static void fill_node_buckets(pbqp *pbqp)
-{
-       unsigned node_index;
-       unsigned node_len;
-
-       assert(pbqp);
-       node_len = pbqp->num_nodes;
-
-       for (node_index = 0; node_index < node_len; ++node_index) {
-               unsigned   degree;
-               pbqp_node *node = get_node(pbqp, node_index);
-
-               if (!node) continue;
-
-               degree = pbqp_node_get_degree(node);
-
-               /* We have only one bucket for nodes with arity >= 3. */
-               if (degree > 3) {
-                       degree = 3;
-               }
-
-               node_bucket_insert(&node_buckets[degree], node);
-       }
-
-       buckets_filled = 1;
-}
-
-static void normalize_towards_source(pbqp *pbqp, pbqp_edge *edge)
-{
-       pbqp_matrix    *mat;
-       pbqp_node      *src_node;
-       pbqp_node      *tgt_node;
-       vector         *src_vec;
-       vector         *tgt_vec;
-       int             src_len;
-       int             tgt_len;
-       int             src_index;
-
-       assert(pbqp);
-       assert(edge);
-
-       src_node = edge->src;
-       tgt_node = edge->tgt;
-       assert(src_node);
-       assert(tgt_node);
-
-       src_vec = src_node->costs;
-       tgt_vec = tgt_node->costs;
-       assert(src_vec);
-       assert(tgt_vec);
-
-       src_len = src_vec->len;
-       tgt_len = tgt_vec->len;
-       assert(src_len > 0);
-       assert(tgt_len > 0);
-
-       mat = edge->costs;
-       assert(mat);
-
-       /* Normalize towards source node. */
-       for (src_index = 0; src_index < src_len; ++src_index) {
-               num min = pbqp_matrix_get_row_min(mat, src_index, tgt_vec);
-
-               if (min != 0) {
-                       if (src_vec->entries[src_index].data == INF_COSTS) {
-                               pbqp_matrix_set_row_value(mat, src_index, 0);
-                       } else {
-                               pbqp_matrix_sub_row_value(mat, src_index, tgt_vec, min);
-                       }
-                       src_vec->entries[src_index].data = pbqp_add(
-                                       src_vec->entries[src_index].data, min);
-
-                       if (min == INF_COSTS) {
-                               unsigned edge_index;
-                               unsigned edge_len = pbqp_node_get_degree(src_node);
-
-                               for (edge_index = 0; edge_index < edge_len; ++edge_index) {
-                                       pbqp_edge *edge_candidate = src_node->edges[edge_index];
-                                       if (edge_candidate != edge) {
-                                               insert_into_edge_bucket(edge_candidate);
-                                       }
-                               }
-                       }
-               }
-       }
-}
-
-static void normalize_towards_target(pbqp *pbqp, pbqp_edge *edge)
-{
-       pbqp_matrix    *mat;
-       pbqp_node      *src_node;
-       pbqp_node      *tgt_node;
-       vector         *src_vec;
-       vector         *tgt_vec;
-       int             src_len;
-       int             tgt_len;
-       int             tgt_index;
-
-       assert(pbqp);
-       assert(edge);
-
-       src_node = edge->src;
-       tgt_node = edge->tgt;
-       assert(src_node);
-       assert(tgt_node);
-
-       src_vec = src_node->costs;
-       tgt_vec = tgt_node->costs;
-       assert(src_vec);
-       assert(tgt_vec);
-
-       src_len = src_vec->len;
-       tgt_len = tgt_vec->len;
-       assert(src_len > 0);
-       assert(tgt_len > 0);
-
-       mat = edge->costs;
-       assert(mat);
-
-       for (tgt_index = 0; tgt_index < tgt_len; ++tgt_index) {
-               num min = pbqp_matrix_get_col_min(mat, tgt_index, src_vec);
-
-               if (min != 0) {
-                       if (tgt_vec->entries[tgt_index].data == INF_COSTS) {
-                               pbqp_matrix_set_col_value(mat, tgt_index, 0);
-                       } else {
-                               pbqp_matrix_sub_col_value(mat, tgt_index, src_vec, min);
-                       }
-                       tgt_vec->entries[tgt_index].data = pbqp_add(
-                                       tgt_vec->entries[tgt_index].data, min);
-
-                       if (min == INF_COSTS) {
-                               unsigned edge_index;
-                               unsigned edge_len = pbqp_node_get_degree(tgt_node);
-
-                               for (edge_index = 0; edge_index < edge_len; ++edge_index) {
-                                       pbqp_edge *edge_candidate = tgt_node->edges[edge_index];
-                                       if (edge_candidate != edge) {
-                                               insert_into_edge_bucket(edge_candidate);
-                                       }
-                               }
-                       }
-               }
-       }
-}
-
-static void reorder_node(pbqp_node *node)
-{
-       unsigned    degree     = pbqp_node_get_degree(node);
-       /* Assume node lost one incident edge. */
-       unsigned    old_degree = degree + 1;
-
-       if (!buckets_filled) return;
-
-       /* Same bucket as before */
-       if (degree > 2) return;
-
-       if (!node_bucket_contains(node_buckets[old_degree], node)) {
-               /* Old arity is new arity, so we have nothing to do. */
-               assert(node_bucket_contains(node_buckets[degree], node));
-               return;
-       }
-
-       /* Delete node from old bucket... */
-       node_bucket_remove(&node_buckets[old_degree], node);
-
-       /* ..and add to new one. */
-       node_bucket_insert(&node_buckets[degree], node);
-}
-
-static void check_melting_possibility(pbqp *pbqp, pbqp_edge *edge)
-{
-       pbqp_matrix    *mat;
-       pbqp_node      *src_node;
-       pbqp_node      *tgt_node;
-       vector         *src_vec;
-       vector         *tgt_vec;
-       int             src_len;
-       int             tgt_len;
-       int             src_index;
-       int             tgt_index;
-
-       assert(pbqp);
-       assert(edge);
-
-       src_node = edge->src;
-       tgt_node = edge->tgt;
-       assert(src_node);
-       assert(tgt_node);
-
-       src_vec = src_node->costs;
-       tgt_vec = tgt_node->costs;
-       assert(src_vec);
-       assert(tgt_vec);
-
-       src_len = src_vec->len;
-       tgt_len = tgt_vec->len;
-       assert(src_len > 0);
-       assert(tgt_len > 0);
-
-       mat = edge->costs;
-       assert(mat);
-
-       if (src_len == 1 && tgt_len == 1) {
-               //panic("Something is wrong");
-       }
-
-       int allRowsOk = 1;
-       for (src_index = 0; src_index < src_len; ++src_index) {
-               int onlyOneZero = 0;
-               if (src_vec->entries[src_index].data == INF_COSTS) {
-                       continue;
-               }
-               for (tgt_index = 0; tgt_index < tgt_len; ++tgt_index) {
-                       if (tgt_vec->entries[tgt_index].data == INF_COSTS) {
-                               continue;
-                       }
-                       if (mat->entries[src_index * tgt_len + tgt_index] == 0) {
-                               if (onlyOneZero) {
-                                       onlyOneZero = 0;
-                                       break;
-                               } else {
-                                       onlyOneZero = 1;
-                                       continue;
-                               }
-                       }
-                       if (mat->entries[src_index * tgt_len + tgt_index] == INF_COSTS) {
-                               continue;
-                       }
-                       onlyOneZero = 0;
-                       break;
-               }
-               allRowsOk &= onlyOneZero;
-       }
-
-       int allColsOk = 1;
-       for (tgt_index = 0; tgt_index < tgt_len; ++tgt_index) {
-               int onlyOneZero = 0;
-               if (tgt_vec->entries[tgt_index].data == INF_COSTS) {
-                       continue;
-               }
-               for (src_index = 0; src_index < src_len; ++src_index) {
-                       if (src_vec->entries[src_index].data == INF_COSTS) {
-                               continue;
-                       }
-                       if (mat->entries[src_index * tgt_len + tgt_index] == 0) {
-                               if (onlyOneZero) {
-                                       onlyOneZero = 0;
-                                       break;
-                               } else {
-                                       onlyOneZero = 1;
-                                       continue;
-                               }
-                       }
-                       if (mat->entries[src_index * tgt_len + tgt_index] == INF_COSTS) {
-                               continue;
-                       }
-                       onlyOneZero = 0;
-                       break;
-               }
-               allColsOk &= onlyOneZero;
-       }
-
-       if (allRowsOk && allColsOk) {
-               panic("Hurray");
-       }
-}
-
-static void simplify_edge(pbqp *pbqp, pbqp_edge *edge)
-{
-       pbqp_matrix    *mat;
-       pbqp_node      *src_node;
-       pbqp_node      *tgt_node;
-       vector         *src_vec;
-       vector         *tgt_vec;
-       int             src_len;
-       int             tgt_len;
-
-       assert(pbqp);
-       assert(edge);
-
-       src_node = edge->src;
-       tgt_node = edge->tgt;
-       assert(src_node);
-       assert(tgt_node);
-
-       /* If edge are already deleted, we have nothing to do. */
-       if (!is_connected(src_node, edge) || !is_connected(tgt_node, edge))
-               return;
-
-       if (pbqp->dump_file) {
-               char txt[100];
-               sprintf(txt, "Simplification of Edge n%d-n%d", src_node->index, tgt_node->index);
-               dump_section(pbqp->dump_file, 3, txt);
-       }
-
-       src_vec = src_node->costs;
-       tgt_vec = tgt_node->costs;
-       assert(src_vec);
-       assert(tgt_vec);
-
-       src_len = src_vec->len;
-       tgt_len = tgt_vec->len;
-       assert(src_len > 0);
-       assert(tgt_len > 0);
-
-       mat = edge->costs;
-       assert(mat);
-
-       if (pbqp->dump_file) {
-               fputs("Input:<br>\n", pbqp->dump_file);
-               dump_simplifyedge(pbqp, edge);
-       }
-
-       normalize_towards_source(pbqp, edge);
-       normalize_towards_target(pbqp, edge);
-
-       if (pbqp->dump_file) {
-               fputs("<br>\nOutput:<br>\n", pbqp->dump_file);
-               dump_simplifyedge(pbqp, edge);
-       }
-
-       if (pbqp_matrix_is_zero(mat, src_vec, tgt_vec)) {
-               if (pbqp->dump_file) {
-                       fputs("edge has been eliminated<br>\n", pbqp->dump_file);
-               }
-
-               delete_edge(edge);
-               reorder_node(src_node);
-               reorder_node(tgt_node);
-       } else {
-               //check_melting_possibility(pbqp, edge);
-       }
-}
-
-static void initial_simplify_edges(pbqp *pbqp)
-{
-       unsigned node_index;
-       unsigned node_len;
-
-       assert(pbqp);
-
-       if (pbqp->dump_file) {
-               pbqp_dump_input(pbqp);
-               dump_section(pbqp->dump_file, 1, "2. Simplification of Cost Matrices");
-       }
-
-       node_len = pbqp->num_nodes;
-
-       init_buckets();
-
-       /* First simplify all edges. */
-       for (node_index = 0; node_index < node_len; ++node_index) {
-               unsigned    edge_index;
-               pbqp_node  *node = get_node(pbqp, node_index);
-               pbqp_edge **edges;
-               unsigned    edge_len;
-
-               if (!node) continue;
-
-               edges = node->edges;
-               edge_len = pbqp_node_get_degree(node);
-
-               for (edge_index = 0; edge_index < edge_len; ++edge_index) {
-                       pbqp_edge *edge = edges[edge_index];
-
-                       /* Simplify only once per edge. */
-                       if (node != edge->src) continue;
-
-                       simplify_edge(pbqp, edge);
-               }
-       }
-}
-
-num determine_solution(FILE *file)
-{
-       unsigned node_index;
-       unsigned node_len;
-       num      solution;
-
-       if (file) {
-               dump_section(file, 1, "4. Determine Solution/Minimum");
-               dump_section(file, 2, "4.1. Trivial Solution");
-       }
-
-       /* Solve trivial nodes and calculate solution. */
-       node_len = node_bucket_get_length(node_buckets[0]);
-       for (node_index = 0; node_index < node_len; ++node_index) {
-               pbqp_node *node = node_buckets[0][node_index];
-               assert(node);
-
-               node->solution = vector_get_min_index(node->costs);
-               solution       = pbqp_add(solution,
-                               node->costs->entries[node->solution].data);
-               if (file) {
-                       fprintf(file, "node n%d is set to %d<br>\n", node->index, node->solution);
-                       dump_node(file, node);
-               }
-       }
-
-       if (file) {
-               dump_section(file, 2, "Minimum");
-               fprintf(file, "Minimum is equal to %lld.", solution);
-       }
-
-       return solution;
-}
-
-static void back_propagate(pbqp *pbqp)
-{
-       unsigned node_index;
-       unsigned node_len   = node_bucket_get_length(reduced_bucket);
-
-       assert(pbqp);
-       if (pbqp->dump_file) {
-               dump_section(pbqp->dump_file, 2, "Back Propagation");
-       }
-
-       for (node_index = node_len; node_index > 0; --node_index) {
-               pbqp_node *node = reduced_bucket[node_index - 1];
-
-               switch (pbqp_node_get_degree(node)) {
-                       case 1:
-                               back_propagate_RI(pbqp, node);
-                               break;
-                       case 2:
-                               back_propagate_RII(pbqp, node);
-                               break;
-                       default:
-                               panic("Only nodes with degree one or two should be in this bucket");
-                               break;
-               }
-       }
-}
-
-void solve_pbqp_heuristical(pbqp *pbqp)
-{
-       /* Reduce nodes degree ... */
-       initial_simplify_edges(pbqp);
-
-       /* ... and put node into bucket representing their degree. */
-       fill_node_buckets(pbqp);
-
-       for (;;) {
-               if (edge_bucket_get_length(edge_bucket) > 0) {
-                       apply_edge(pbqp);
-               } else if (node_bucket_get_length(node_buckets[1]) > 0) {
-                       apply_RI(pbqp);
-               } else if (node_bucket_get_length(node_buckets[2]) > 0) {
-                       apply_RII(pbqp);
-               } else if (node_bucket_get_length(node_buckets[3]) > 0) {
-                       apply_RN(pbqp);
-               } else {
-                       break;
-               }
-       }
-
-       pbqp->solution = determine_solution(pbqp->dump_file);
-
-       /* Solve reduced nodes. */
-       back_propagate(pbqp);
-
-       free_buckets();
-}
-
-void apply_edge(pbqp *pbqp)
-{
-       pbqp_edge *edge = edge_bucket_pop(&edge_bucket);
-
-       simplify_edge(pbqp, edge);
-}
-
-void apply_RI(pbqp *pbqp)
-{
-       pbqp_node   *node       = node_bucket_pop(&node_buckets[1]);
-       pbqp_edge   *edge       = node->edges[0];
-       pbqp_matrix *mat        = edge->costs;
-       int          is_src     = edge->src == node;
-       pbqp_node   *other_node;
-
-       if (is_src) {
-               other_node = edge->tgt;
-       } else {
-               other_node = edge->src;
-       }
-
-       if (pbqp->dump_file) {
-               char     txt[100];
-               sprintf(txt, "RI-Reduction of Node n%d", node->index);
-               dump_section(pbqp->dump_file, 2, txt);
-               pbqp_dump_graph(pbqp);
-               fputs("<br>\nBefore reduction:<br>\n", pbqp->dump_file);
-               dump_node(pbqp->dump_file, node);
-               dump_node(pbqp->dump_file, other_node);
-               dump_edge(pbqp->dump_file, edge);
-       }
-
-       if (is_src) {
-               pbqp_matrix_add_to_all_cols(mat, node->costs);
-               normalize_towards_target(pbqp, edge);
-       } else {
-               pbqp_matrix_add_to_all_rows(mat, node->costs);
-               normalize_towards_source(pbqp, edge);
-       }
-       disconnect_edge(other_node, edge);
-
-       if (pbqp->dump_file) {
-               fputs("<br>\nAfter reduction:<br>\n", pbqp->dump_file);
-               dump_node(pbqp->dump_file, other_node);
-       }
-
-       reorder_node(other_node);
-
-       /* Add node to back propagation list. */
-       node_bucket_insert(&reduced_bucket, node);
-}
-
-void apply_RII(pbqp *pbqp)
-{
-       pbqp_node   *node       = node_bucket_pop(&node_buckets[2]);
-       pbqp_edge   *src_edge   = node->edges[0];
-       pbqp_edge   *tgt_edge   = node->edges[1];
-       int          src_is_src = src_edge->src == node;
-       int          tgt_is_src = tgt_edge->src == node;
-       pbqp_matrix *src_mat;
-       pbqp_matrix *tgt_mat;
-       pbqp_node   *src_node;
-       pbqp_node   *tgt_node;
-       pbqp_matrix *mat;
-       vector      *vec;
-       vector      *node_vec;
-       vector      *src_vec;
-       vector      *tgt_vec;
-       unsigned     col_index;
-       unsigned     col_len;
-       unsigned     row_index;
-       unsigned     row_len;
-       unsigned     node_len;
-
-       assert(pbqp);
-
-       if (src_is_src) {
-               src_node = src_edge->tgt;
-       } else {
-               src_node = src_edge->src;
-       }
-
-       if (tgt_is_src) {
-               tgt_node = tgt_edge->tgt;
-       } else {
-               tgt_node = tgt_edge->src;
-       }
-
-       /* Swap nodes if necessary. */
-       if (tgt_node->index < src_node->index) {
-               pbqp_node *tmp_node;
-               pbqp_edge *tmp_edge;
-
-               tmp_node = src_node;
-               src_node = tgt_node;
-               tgt_node = tmp_node;
-
-               tmp_edge = src_edge;
-               src_edge = tgt_edge;
-               tgt_edge = tmp_edge;
-
-               src_is_src = src_edge->src == node;
-               tgt_is_src = tgt_edge->src == node;
-       }
-
-       if (pbqp->dump_file) {
-               char     txt[100];
-               sprintf(txt, "RII-Reduction of Node n%d", node->index);
-               dump_section(pbqp->dump_file, 2, txt);
-               pbqp_dump_graph(pbqp);
-               fputs("<br>\nBefore reduction:<br>\n", pbqp->dump_file);
-               dump_node(pbqp->dump_file, src_node);
-               dump_edge(pbqp->dump_file, src_edge);
-               dump_node(pbqp->dump_file, node);
-               dump_edge(pbqp->dump_file, tgt_edge);
-               dump_node(pbqp->dump_file, tgt_node);
-       }
-
-       src_mat = src_edge->costs;
-       tgt_mat = tgt_edge->costs;
-
-       src_vec  = src_node->costs;
-       tgt_vec  = tgt_node->costs;
-       node_vec = node->costs;
-
-       row_len  = src_vec->len;
-       col_len  = tgt_vec->len;
-       node_len = node_vec->len;
-
-       mat = pbqp_matrix_alloc(pbqp, row_len, col_len);
-
-       for (row_index = 0; row_index < row_len; ++row_index) {
-               for (col_index = 0; col_index < col_len; ++col_index) {
-                       vec = vector_copy(pbqp, node_vec);
-
-                       if (src_is_src) {
-                               vector_add_matrix_col(vec, src_mat, row_index);
-                       } else {
-                               vector_add_matrix_row(vec, src_mat, row_index);
-                       }
-
-                       if (tgt_is_src) {
-                               vector_add_matrix_col(vec, tgt_mat, col_index);
-                       } else {
-                               vector_add_matrix_row(vec, tgt_mat, col_index);
-                       }
-
-                       mat->entries[row_index * col_len + col_index] = vector_get_min(vec);
-
-                       obstack_free(&pbqp->obstack, vec);
-               }
-       }
-
-       pbqp_edge *edge = get_edge(pbqp, src_node->index, tgt_node->index);
-
-       /* Disconnect node. */
-       disconnect_edge(src_node, src_edge);
-       disconnect_edge(tgt_node, tgt_edge);
-
-       /* Add node to back propagation list. */
-       node_bucket_insert(&reduced_bucket, node);
-
-       if (edge == NULL) {
-               edge = alloc_edge(pbqp, src_node->index, tgt_node->index, mat);
-       } else {
-               pbqp_matrix_add(edge->costs, mat);
+#include "timing.h"
 
-               /* Free local matrix. */
-               obstack_free(&pbqp->obstack, mat);
-
-               reorder_node(src_node);
-               reorder_node(tgt_node);
-       }
-
-       if (pbqp->dump_file) {
-               fputs("<br>\nAfter reduction:<br>\n", pbqp->dump_file);
-               dump_edge(pbqp->dump_file, edge);
-       }
-
-       /* Edge has changed so we simplify it. */
-       simplify_edge(pbqp, edge);
-}
-
-void apply_RN(pbqp *pbqp)
+static void apply_RN(pbqp *pbqp)
 {
-       pbqp_node  **bucket       = node_buckets[3];
-       unsigned     bucket_len   = node_bucket_get_length(bucket);
-       unsigned     bucket_index;
        pbqp_node   *node         = NULL;
-       pbqp_edge   *edge;
-       vector      *node_vec;
-       vector      *vec;
-       pbqp_matrix *mat;
-       unsigned     edge_index;
-       unsigned     max_degree   = 0;
-       unsigned     node_index;
-       unsigned     node_len;
        unsigned     min_index    = 0;
-       num          min          = INF_COSTS;
-       int          is_src;
 
        assert(pbqp);
 
-       /* Search for node with maximum degree. */
-       for (bucket_index = 0; bucket_index < bucket_len; ++bucket_index) {
-               pbqp_node *candidate = bucket[bucket_index];
-               unsigned   degree    = pbqp_node_get_degree(candidate);
-
-               if (degree > max_degree) {
-                       node = candidate;
-                       max_degree = degree;
-               }
-       }
+       /* We want to reduce a node with maximum degree. */
+       node = get_node_with_max_degree();
        assert(node);
-       node_vec = node->costs;
-       node_len = node_vec->len;
+       assert(pbqp_node_get_degree(node) > 2);
 
+#if    KAPS_DUMP
        if (pbqp->dump_file) {
                char     txt[100];
                sprintf(txt, "RN-Reduction of Node n%d", node->index);
                dump_section(pbqp->dump_file, 2, txt);
                pbqp_dump_graph(pbqp);
        }
+#endif
 
-       for (node_index = 0; node_index < node_len; ++node_index) {
-               num value = node_vec->entries[node_index].data;
-
-               for (edge_index = 0; edge_index < max_degree; ++edge_index) {
-                       edge   = node->edges[edge_index];
-                       mat    = edge->costs;
-                       is_src = edge->src == node;
-
-                       if (is_src) {
-                               vec = vector_copy(pbqp, edge->tgt->costs);
-                               vector_add_matrix_row(vec, mat, node_index);
-                       } else {
-                               vec = vector_copy(pbqp, edge->src->costs);
-                               vector_add_matrix_col(vec, mat, node_index);
-                       }
-
-                       value = pbqp_add(value, vector_get_min(vec));
-
-                       obstack_free(&pbqp->obstack, vec);
-               }
-
-               if (value < min) {
-                       min = value;
-                       min_index = node_index;
-               }
-       }
+       min_index = get_local_minimal_alternative(pbqp, node);
 
+#if    KAPS_DUMP
        if (pbqp->dump_file) {
                fprintf(pbqp->dump_file, "node n%d is set to %d<br><br>\n",
                                        node->index, min_index);
-               fprintf(pbqp->dump_file, "Minimal cost of RN reduction: %lld<br>\n",
-                                                       min);
        }
+#endif
 
-       node->solution = min_index;
+#if KAPS_STATISTIC
+       FILE *fh = fopen("solutions.pb", "a");
+       fprintf(fh, "[%u]", min_index);
+       fclose(fh);
+       pbqp->num_rn++;
+#endif
 
        /* Now that we found the local minimum set all other costs to infinity. */
-       for (node_index = 0; node_index < node_len; ++node_index) {
-               if (node_index != min_index) {
-                       node_vec->entries[node_index].data = INF_COSTS;
-               }
-       }
-
-       /* Add all incident edges to edge bucket, since they are now independent. */
-       for (edge_index = 0; edge_index < max_degree; ++edge_index) {
-               insert_into_edge_bucket(node->edges[edge_index]);
-       }
+       select_alternative(node, min_index);
 }
 
-void apply_Brute_Force(pbqp *pbqp)
+static void apply_heuristic_reductions(pbqp *pbqp)
 {
-       pbqp_node  **bucket       = node_buckets[3];
-       unsigned     bucket_len   = node_bucket_get_length(bucket);
-       unsigned     bucket_index;
-       pbqp_node   *node         = NULL;
-       pbqp_edge   *edge;
-       vector      *node_vec;
-       vector      *vec;
-       pbqp_matrix *mat;
-       unsigned     edge_index;
-       unsigned     max_degree   = 0;
-       unsigned     node_index;
-       unsigned     node_len;
-       unsigned     min_index    = 0;
-       num          min          = INF_COSTS;
-       int          is_src;
-
-       assert(pbqp);
-
-       /* Search for node with maximum degree. */
-       for (bucket_index = 0; bucket_index < bucket_len; ++bucket_index) {
-               pbqp_node *candidate = bucket[bucket_index];
-               unsigned   degree    = pbqp_node_get_degree(candidate);
-
-               if (degree > max_degree) {
-                       node = candidate;
-                       max_degree = degree;
-               }
-       }
-       assert(node);
-       node_vec = node->costs;
-       node_len = node_vec->len;
-
-       if (pbqp->dump_file) {
-               char     txt[100];
-               sprintf(txt, "RN-Reduction of Node n%d", node->index);
-               dump_section(pbqp->dump_file, 2, txt);
-               pbqp_dump_graph(pbqp);
-       }
-
-       for (node_index = 0; node_index < node_len; ++node_index) {
-               num value = node_vec->entries[node_index].data;
-
-               /* TODO Copy PBQP */
-
-
-               if (value < min) {
-                       min = value;
-                       min_index = node_index;
-               }
-       }
-
-       if (pbqp->dump_file) {
-               fprintf(pbqp->dump_file, "node n%d is set to %d<br><br>\n",
-                                       node->index, min_index);
-               fprintf(pbqp->dump_file, "Minimal cost of RN reduction: %lld<br>\n",
-                                                       min);
-       }
-
-       node->solution = min_index;
-
-       /* Now that we found the local minimum set all other costs to infinity. */
-       for (node_index = 0; node_index < node_len; ++node_index) {
-               if (node_index != min_index) {
-                       node_vec->entries[node_index].data = INF_COSTS;
+       for (;;) {
+               if (edge_bucket_get_length(edge_bucket) > 0) {
+                       apply_edge(pbqp);
+               } else if (node_bucket_get_length(node_buckets[1]) > 0) {
+                       apply_RI(pbqp);
+               } else if (node_bucket_get_length(node_buckets[2]) > 0) {
+                       apply_RII(pbqp);
+               } else if (node_bucket_get_length(node_buckets[3]) > 0) {
+                       apply_RN(pbqp);
+               } else {
+                       return;
                }
        }
-
-       /* Add all incident edges to edge bucket, since they are now independent. */
-       for (edge_index = 0; edge_index < max_degree; ++edge_index) {
-               insert_into_edge_bucket(node->edges[edge_index]);
-       }
 }
 
-void back_propagate_RI(pbqp *pbqp, pbqp_node *node)
-{
-       pbqp_edge   *edge;
-       pbqp_node   *other;
-       pbqp_matrix *mat;
-       vector      *vec;
-       int          is_src;
-
-       assert(pbqp);
-       assert(node);
-
-       edge = node->edges[0];
-       mat = edge->costs;
-       is_src = edge->src == node;
-       vec = node->costs;
-
-       if (is_src) {
-               other = edge->tgt;
-               assert(other);
-               vector_add_matrix_col(vec, mat, other->solution);
-       } else {
-               other = edge->src;
-               assert(other);
-               vector_add_matrix_row(vec, mat, other->solution);
-       }
-
-       node->solution = vector_get_min_index(vec);
-       if (pbqp->dump_file) {
-               fprintf(pbqp->dump_file, "node n%d is set to %d<br>\n", node->index, node->solution);
-       }
-}
-
-void back_propagate_RII(pbqp *pbqp, pbqp_node *node)
+void solve_pbqp_heuristical(pbqp *pbqp)
 {
-       pbqp_edge   *src_edge   = node->edges[0];
-       pbqp_edge   *tgt_edge   = node->edges[1];
-       int          src_is_src = src_edge->src == node;
-       int          tgt_is_src = tgt_edge->src == node;
-       pbqp_matrix *src_mat;
-       pbqp_matrix *tgt_mat;
-       pbqp_node   *src_node;
-       pbqp_node   *tgt_node;
-       vector      *vec;
-       vector      *node_vec;
-       unsigned     col_index;
-       unsigned     row_index;
-
-       assert(pbqp);
-
-       if (src_is_src) {
-               src_node = src_edge->tgt;
-       } else {
-               src_node = src_edge->src;
-       }
-
-       if (tgt_is_src) {
-               tgt_node = tgt_edge->tgt;
-       } else {
-               tgt_node = tgt_edge->src;
-       }
-
-       /* Swap nodes if necessary. */
-       if (tgt_node->index < src_node->index) {
-               pbqp_node *tmp_node;
-               pbqp_edge *tmp_edge;
-
-               tmp_node = src_node;
-               src_node = tgt_node;
-               tgt_node = tmp_node;
-
-               tmp_edge = src_edge;
-               src_edge = tgt_edge;
-               tgt_edge = tmp_edge;
-
-               src_is_src = src_edge->src == node;
-               tgt_is_src = tgt_edge->src == node;
-       }
-
-       src_mat = src_edge->costs;
-       tgt_mat = tgt_edge->costs;
-
-       node_vec = node->costs;
-
-       row_index = src_node->solution;
-       col_index = tgt_node->solution;
-
-       vec = vector_copy(pbqp, node_vec);
-
-       if (src_is_src) {
-               vector_add_matrix_col(vec, src_mat, row_index);
-       } else {
-               vector_add_matrix_row(vec, src_mat, row_index);
-       }
-
-       if (tgt_is_src) {
-               vector_add_matrix_col(vec, tgt_mat, col_index);
-       } else {
-               vector_add_matrix_row(vec, tgt_mat, col_index);
-       }
-
-       node->solution = vector_get_min_index(vec);
-       if (pbqp->dump_file) {
-               fprintf(pbqp->dump_file, "node n%d is set to %d<br>\n", node->index, node->solution);
-       }
+       /* Reduce nodes degree ... */
+       initial_simplify_edges(pbqp);
 
-       obstack_free(&pbqp->obstack, vec);
-}
+       /* ... and put node into bucket representing their degree. */
+       fill_node_buckets(pbqp);
 
-int node_is_reduced(pbqp_node *node)
-{
-       if (!reduced_bucket) return 0;
+#if KAPS_STATISTIC
+       FILE *fh = fopen("solutions.pb", "a");
+       fprintf(fh, "Solution");
+       fclose(fh);
+#endif
+
+       apply_heuristic_reductions(pbqp);
+
+       pbqp->solution = determine_solution(pbqp);
+
+#if KAPS_STATISTIC
+       fh = fopen("solutions.pb", "a");
+       #if KAPS_USE_UNSIGNED
+               fprintf(fh, ": %u RE:%u R0:%u R1:%u R2:%u RM:%u RN/BF:%u\n", pbqp->solution,
+                               pbqp->num_edges, pbqp->num_r0, pbqp->num_r1, pbqp->num_r2,
+                               pbqp->num_rm, pbqp->num_rn);
+       #else
+               fprintf(fh, ": %lld RE:%u R0:%u R1:%u R2:%u RM:%u RN/BF:%u\n", pbqp->solution,
+                               pbqp->num_edges, pbqp->num_r0, pbqp->num_r1, pbqp->num_r2,
+                               pbqp->num_rm, pbqp->num_rn);
+       #endif
+       fclose(fh);
+#endif
 
-       if (pbqp_node_get_degree(node) == 0) return 1;
+       /* Solve reduced nodes. */
+       back_propagate(pbqp);
 
-       return node_bucket_contains(reduced_bucket, node);
+       free_buckets();
 }