Change OpenMP schedule directive to 'static' instead of 'dynamic'

Use schedule(static, 100), to reduce overhead with small graphs in the
majority of cases.

src/graph/centrality/graph_betweenness.cc

@@ -45,7 +45,7 @@ void normalize_betweenness(const Graph& g,
 
     int i, N = num_vertices(g);
     #pragma omp parallel for default(shared) private(i)   \
-        schedule(dynamic)
+        schedule(static, 100)
     for (i = 0; i < N; ++i)
     {
         typename graph_traits<Graph>::vertex_descriptor v = vertex(i, g);

src/graph/centrality/graph_closeness.hh

@@ -68,7 +68,7 @@ struct get_closeness
         get_vertex_dists_t get_vertex_dists;
         size_t HN = HardNumVertices()(g);
         int i, N = num_vertices(g);
-        #pragma omp parallel for default(shared) private(i) schedule(dynamic)
+        #pragma omp parallel for default(shared) private(i) schedule(static, 100)
         for (i = 0; i < N; ++i)
         {
             vertex_t v = vertex(i, g);

src/graph/centrality/graph_eigentrust.hh

@@ -48,7 +48,7 @@ struct get_eigentrust
 
             int i, N = num_vertices(g);
             #pragma omp parallel for default(shared) private(i)  \
-                schedule(dynamic)
+                schedule(static, 100)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =
@@ -72,7 +72,7 @@ struct get_eigentrust
             c_sum.reserve(num_vertices(g));
             int i, N = num_vertices(g);
             #pragma omp parallel for default(shared) private(i)     \
-                schedule(dynamic)
+                schedule(static, 100)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =
@@ -90,7 +90,7 @@ struct get_eigentrust
         // init inferred trust t
         int i, N = num_vertices(g), V = HardNumVertices()(g);
         #pragma omp parallel for default(shared) private(i)     \
-                schedule(dynamic)
+                schedule(static, 100)
         for (i = 0; i < N; ++i)
         {
             typename graph_traits<Graph>::vertex_descriptor v = vertex(i, g);
@@ -105,7 +105,7 @@ struct get_eigentrust
         {
             delta = 0;
             #pragma omp parallel for default(shared) private(i)     \
-                schedule(dynamic) reduction(+:delta)
+                schedule(static, 100) reduction(+:delta)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =
@@ -137,7 +137,7 @@ struct get_eigentrust
         if (iter % 2 != 0)
         {
             #pragma omp parallel for default(shared) private(i)     \
-                schedule(dynamic)
+                schedule(static, 100)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =

src/graph/centrality/graph_eigenvector.hh

@@ -51,7 +51,7 @@ struct get_eigenvector
         {
             norm = 0;
             #pragma omp parallel for default(shared) private(i) \
-                schedule(dynamic) reduction(+:norm)
+                schedule(static, 100) reduction(+:norm)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =
@@ -77,7 +77,7 @@ struct get_eigenvector
 
             delta = 0;
             #pragma omp parallel for default(shared) private(i) \
-                schedule(dynamic) reduction(+:delta)
+                schedule(static, 100) reduction(+:delta)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =
@@ -97,7 +97,7 @@ struct get_eigenvector
         if (iter % 2 != 0)
         {
             #pragma omp parallel for default(shared) private(i)     \
-                schedule(dynamic)
+                schedule(static, 100)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =

src/graph/centrality/graph_hits.hh

@@ -47,7 +47,7 @@ struct get_hits
         // init centrality
         int i, N = num_vertices(g), V = HardNumVertices()(g);
         #pragma omp parallel for default(shared) private(i)     \
-                schedule(dynamic)
+                schedule(static, 100)
         for (i = 0; i < N; ++i)
         {
             typename graph_traits<Graph>::vertex_descriptor v = vertex(i, g);
@@ -65,7 +65,7 @@ struct get_hits
         {
             x_norm = 0;
             #pragma omp parallel for default(shared) private(i) \
-                schedule(dynamic) reduction(+:x_norm)
+                schedule(static, 100) reduction(+:x_norm)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =
@@ -100,7 +100,7 @@ struct get_hits
 
             delta = 0;
             #pragma omp parallel for default(shared) private(i) \
-                schedule(dynamic) reduction(+:delta)
+                schedule(static, 100) reduction(+:delta)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =
@@ -122,7 +122,7 @@ struct get_hits
         if (iter % 2 != 0)
         {
             #pragma omp parallel for default(shared) private(i)     \
-                schedule(dynamic)
+                schedule(static, 100)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =

src/graph/centrality/graph_katz.hh

@@ -51,7 +51,7 @@ struct get_katz
         {
             norm = 0;
             #pragma omp parallel for default(shared) private(i) \
-                schedule(dynamic) reduction(+:norm)
+                schedule(static, 100) reduction(+:norm)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =
@@ -77,7 +77,7 @@ struct get_katz
 
             delta = 0;
             #pragma omp parallel for default(shared) private(i) \
-                schedule(dynamic) reduction(+:delta)
+                schedule(static, 100) reduction(+:delta)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =
@@ -97,7 +97,7 @@ struct get_katz
         if (iter % 2 != 0)
         {
             #pragma omp parallel for default(shared) private(i)     \
-                schedule(dynamic)
+                schedule(static, 100)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =

src/graph/centrality/graph_pagerank.hh

@@ -43,7 +43,7 @@ struct get_pagerank
         // init degs
         int i, N = num_vertices(g);
         #pragma omp parallel for default(shared) private(i)     \
-                schedule(dynamic)
+                schedule(static, 100)
         for (i = 0; i < N; ++i)
         {
             typename graph_traits<Graph>::vertex_descriptor v = vertex(i, g);
@@ -62,7 +62,7 @@ struct get_pagerank
         {
             delta = 0;
             #pragma omp parallel for default(shared) private(i)     \
-                schedule(dynamic) reduction(+:delta)
+                schedule(static, 100) reduction(+:delta)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =
@@ -96,7 +96,7 @@ struct get_pagerank
         if (iter % 2 != 0)
         {
             #pragma omp parallel for default(shared) private(i)     \
-                schedule(dynamic)
+                schedule(static, 100)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =

src/graph/centrality/graph_trust_transitivity.hh

@@ -106,7 +106,7 @@ struct get_trust_transitivity
             property_traits<InferredTrustMap>::value_type::value_type t_type;
 
         int i, N = num_vertices(g);
-        #pragma omp parallel for default(shared) private(i) schedule(dynamic)
+        #pragma omp parallel for default(shared) private(i) schedule(static, 100)
         for (i = 0; i < N; ++i)
         {
             vertex_t v = vertex(i, g);
@@ -116,7 +116,7 @@ struct get_trust_transitivity
         }
 
         N = (target == -1) ? num_vertices(g) : target + 1;
-        #pragma omp parallel for default(shared) private(i) schedule(dynamic)
+        #pragma omp parallel for default(shared) private(i) schedule(static, 100)
         for (i = (target == -1) ? 0 : target; i < N; ++i)
         {
             vertex_t tgt = vertex(i, g);
@@ -210,7 +210,7 @@ struct get_trust_transitivity
                          distance_zero(t_type(1)));
 
                     #pragma omp parallel for default(shared) private(j) \
-                        schedule(dynamic)
+                        schedule(static, 100)
                     for (j = 0; j < N2; ++j)
                     {
                         vertex_t src = vertex(j, g);
@@ -224,7 +224,7 @@ struct get_trust_transitivity
                 }
 
                 #pragma omp parallel for default(shared) private(j) \
-                    schedule(dynamic)
+                    schedule(static, 100)
                 for (j = 0; j < N2; ++j)
                 {
                     vertex_t src = vertex(j, g);

src/graph/clustering/graph_clustering.hh

@@ -98,7 +98,7 @@ struct get_global_clustering
         int i, N = num_vertices(g);
 
         #pragma omp parallel for default(shared) private(i,temp) \
-            schedule(dynamic) reduction(+:triangles, n)
+            schedule(static, 100) reduction(+:triangles, n)
         for (i = 0; i < N; ++i)
         {
             typename graph_traits<Graph>::vertex_descriptor v = vertex(i, g);
@@ -117,7 +117,7 @@ struct get_global_clustering
 	double cerr = 0.0;
 
         #pragma omp parallel for default(shared) private(i,temp) \
-            schedule(dynamic) reduction(+:cerr)
+            schedule(static, 100) reduction(+:cerr)
         for (i = 0; i < N; ++i)
         {
             typename graph_traits<Graph>::vertex_descriptor v = vertex(i, g);
@@ -143,7 +143,7 @@ struct set_clustering_to_property
         typename get_undirected_graph<Graph>::type ug(g);
         int i, N = num_vertices(g);
 
-        #pragma omp parallel for default(shared) private(i) schedule(dynamic)
+        #pragma omp parallel for default(shared) private(i) schedule(static, 100)
         for (i = 0; i < N; ++i)
         {
             typename graph_traits<Graph>::vertex_descriptor v = vertex(i, g);

src/graph/clustering/graph_extended_clustering.hh

@@ -122,7 +122,7 @@ struct get_extended_clustering
 
         int i, N = num_vertices(g);
 
-        #pragma omp parallel for default(shared) private(i) schedule(dynamic)
+        #pragma omp parallel for default(shared) private(i) schedule(static, 100)
         for (i = 0; i < N; ++i)
         {
             vertex_t v = vertex(i, g);

src/graph/clustering/graph_motifs.hh

@@ -357,7 +357,7 @@ struct get_all_motifs
 
         int i, N = (p < 1) ? V.size() : num_vertices(g);
         #pragma omp parallel for default(shared) private(i, sig) \
-            schedule(dynamic)
+            schedule(static, 100)
         for (i = 0; i < N; ++i)
         {
             vector<vector<typename graph_traits<Graph>::vertex_descriptor> >

src/graph/community/graph_community.hh

@@ -109,7 +109,7 @@ struct get_communities
             // sample a new spin for every vertex
             int NV = num_vertices(g),i;
             #pragma omp parallel for default(shared) private(i)\
-                reduction(+:E) schedule(dynamic)
+                reduction(+:E) schedule(static, 100)
             for (i = 0; i < NV; ++i)
             {
                 vertex_t v = vertex(i, g);
@@ -212,7 +212,7 @@ struct get_communities
         {
             int NV = num_vertices(g), i;
             #pragma omp parallel for default(shared) private(i)\
-                schedule(dynamic)
+                schedule(static, 100)
             for (i = 0; i < NV; ++i)
             {
                 vertex_t v = vertex(i, g);
@@ -381,7 +381,7 @@ public:
     void Update(size_t k, size_t old_s, size_t s)
     {
         int i, NK = _degs.size();
-        #pragma omp parallel for default(shared) private(i) schedule(dynamic)
+        #pragma omp parallel for default(shared) private(i) schedule(static, 100)
         for (i = 0; i < NK; ++i)
         {
             size_t k1 = _degs[i], k2 = k;
@@ -407,7 +407,7 @@ public:
             _Nks[k].erase(old_s);
         _Nks[k][s]++;
 
-        #pragma omp parallel for default(shared) private(i) schedule(dynamic)
+        #pragma omp parallel for default(shared) private(i) schedule(static, 100)
         for (i = 0; i < NK; ++i)
         {
             size_t k1 = _degs[i], k2 = k;

src/graph/correlations/graph_assortativity.hh

@@ -48,7 +48,7 @@ struct get_assortativity_coefficient
         SharedMap<tr1::unordered_map<double,count_t> > sa(a), sb(b);
         int i, N = num_vertices(g);
         #pragma omp parallel for default(shared) private(i) firstprivate(sa,sb)\
-            schedule(dynamic) reduction(+:e_kk, n_edges)
+            schedule(static, 100) reduction(+:e_kk, n_edges)
         for (i = 0; i < N; ++i)
         {
             typename graph_traits<Graph>::vertex_descriptor v = vertex(i, g);
@@ -82,7 +82,7 @@ struct get_assortativity_coefficient
 
         // "jackknife" variance
         double err = 0.0;
-        #pragma omp parallel for default(shared) private(i) schedule(dynamic)\
+        #pragma omp parallel for default(shared) private(i) schedule(static, 100)\
             reduction(+:err)
         for (i = 0; i < N; ++i)
         {
@@ -127,7 +127,7 @@ struct get_scalar_assortativity_coefficient
         double a = 0.0, b = 0.0, da = 0.0, db = 0.0;
         int i, N = num_vertices(g);
         #pragma omp parallel for default(shared) private(i) \
-            schedule(dynamic) reduction(+:e_xy,n_edges,a,b,da,db)
+            schedule(static, 100) reduction(+:e_xy,n_edges,a,b,da,db)
         for (i = 0; i < N; ++i)
         {
             typename graph_traits<Graph>::vertex_descriptor v = vertex(i, g);
@@ -163,7 +163,7 @@ struct get_scalar_assortativity_coefficient
         r_err = 0.0;
 
         double err = 0.0;
-        #pragma omp parallel for default(shared) private(i) schedule(dynamic)\
+        #pragma omp parallel for default(shared) private(i) schedule(static, 100)\
             reduction(+:err)
         for (i = 0; i < N; ++i)
         {

src/graph/correlations/graph_avg_correlations.hh

@@ -67,7 +67,7 @@ struct get_avg_correlation
 
         int i, N = num_vertices(g);
         #pragma omp parallel for default(shared) private(i) \
-            firstprivate(s_sum, s_sum2, s_count) schedule(dynamic)
+            firstprivate(s_sum, s_sum2, s_count) schedule(static, 100)
         for (i = 0; i < N; ++i)
         {
             typename graph_traits<Graph>::vertex_descriptor v = vertex(i, g);

src/graph/correlations/graph_corr_hist.hh

@@ -60,7 +60,7 @@ struct get_correlation_histogram
 
             int i, N = num_vertices(g);
             #pragma omp parallel for default(shared) private(i) \
-                firstprivate(s_hist) schedule(dynamic)
+                firstprivate(s_hist) schedule(static, 100)
             for (i = 0; i < N; ++i)
             {
                 typename graph_traits<Graph>::vertex_descriptor v =

src/graph/generation/graph_geometric.hh

@@ -127,7 +127,7 @@ struct get_geometric
         }
 
         #pragma omp parallel for default(shared) private(i, box) \
-            schedule(dynamic)
+            schedule(static, 100)
         for (int i = 0; i < N; ++i)
         {
             typename graph_traits<Graph>::vertex_descriptor v = vertex(i, g);

src/graph/generation/graph_lattice.hh

@@ -71,7 +71,7 @@ struct get_lattice
 
         vector<int> pos(shape.size());
         //#pragma omp parallel for default(shared) private(i) 
-        //    firstprivate(pos) schedule(dynamic)
+        //    firstprivate(pos) schedule(static, 100)
         for (int i = 0; i < N; ++i)
         {
             get_pos(i, shape, pos);

src/graph/graph_python_interface.cc

@@ -244,7 +244,7 @@ struct get_degree_map
         typename map_t::unchecked_t deg_map = cdeg_map.get_unchecked(num_vertices(g));
 
         int i, N = num_vertices(g);
-        #pragma omp parallel for default(shared) private(i) schedule(dynamic)
+        #pragma omp parallel for default(shared) private(i) schedule(static, 100)
         for (i = 0; i < N; ++i)
         {
             typename graph_traits<Graph>::vertex_descriptor v = vertex(i, g);

src/graph/stats/graph_average.hh

@@ -77,7 +77,7 @@ struct get_average
         AverageTraverse traverse;
         int i, N = num_vertices(g);
         #pragma omp parallel for default(shared) private(i) \