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/usr/include/boost/graph/rmat_graph_generator.hpp
(19291B)
// Copyright 2004, 2005 The Trustees of Indiana University. // Use, modification and distribution is subject to the Boost Software // License, Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at // http://www.boost.org/LICENSE_1_0.txt) // Authors: Nick Edmonds // Andrew Lumsdaine #ifndef BOOST_GRAPH_RMAT_GENERATOR_HPP #define BOOST_GRAPH_RMAT_GENERATOR_HPP #include <math.h> #include <iterator> #include <utility> #include <vector> #include <queue> #include <map> #include <boost/shared_ptr.hpp> #include <boost/assert.hpp> #include <boost/random/uniform_int.hpp> #include <boost/random/uniform_01.hpp> #include <boost/graph/graph_traits.hpp> #include <boost/graph/detail/mpi_include.hpp> #include <boost/type_traits/is_base_and_derived.hpp> #include <boost/type_traits/is_same.hpp> // #include <boost/test/floating_point_comparison.hpp> using boost::shared_ptr; using boost::uniform_01; // Returns floor(log_2(n)), and -1 when n is 0 template < typename IntegerType > inline int int_log2(IntegerType n) { int l = 0; while (n > 0) { ++l; n >>= 1; } return l - 1; } struct keep_all_edges { template < typename T > bool operator()(const T&, const T&) { return true; } }; template < typename Distribution, typename ProcessId > struct keep_local_edges { keep_local_edges(const Distribution& distrib, const ProcessId& id) : distrib(distrib), id(id) { } template < typename T > bool operator()(const T& x, const T& y) { return distrib(x) == id || distrib(y) == id; } private: const Distribution& distrib; const ProcessId& id; }; template < typename RandomGenerator, typename T > void generate_permutation_vector( RandomGenerator& gen, std::vector< T >& vertexPermutation, T n) { using boost::uniform_int; vertexPermutation.resize(n); // Generate permutation map of vertex numbers uniform_int< T > rand_vertex(0, n - 1); for (T i = 0; i < n; ++i) vertexPermutation[i] = i; // Can't use std::random_shuffle unless we create another (synchronized) // PRNG for (T i = 0; i < n; ++i) std::swap(vertexPermutation[i], vertexPermutation[rand_vertex(gen)]); } template < typename RandomGenerator, typename T > std::pair< T, T > generate_edge( shared_ptr< uniform_01< RandomGenerator > > prob, T n, unsigned int SCALE, double a, double b, double c, double d) { T u = 0, v = 0; T step = n / 2; for (unsigned int j = 0; j < SCALE; ++j) { double p = (*prob)(); if (p < a) ; else if (p >= a && p < a + b) v += step; else if (p >= a + b && p < a + b + c) u += step; else { // p > a + b + c && p < a + b + c + d u += step; v += step; } step /= 2; // 0.2 and 0.9 are hardcoded in the reference SSCA implementation. // The maximum change in any given value should be less than 10% a *= 0.9 + 0.2 * (*prob)(); b *= 0.9 + 0.2 * (*prob)(); c *= 0.9 + 0.2 * (*prob)(); d *= 0.9 + 0.2 * (*prob)(); double S = a + b + c + d; a /= S; b /= S; c /= S; // d /= S; // Ensure all values add up to 1, regardless of floating point errors d = 1. - a - b - c; } return std::make_pair(u, v); } namespace boost { /* Chakrabarti's R-MAT scale free generator. For all flavors of the R-MAT iterator a+b+c+d must equal 1 and for the unique_rmat_iterator 'm' << 'n^2'. If 'm' is too close to 'n^2' the generator may be unable to generate sufficient unique edges To get a true scale free distribution {a, b, c, d : a > b, a > c, a > d} */ template < typename RandomGenerator, typename Graph > class rmat_iterator { typedef typename graph_traits< Graph >::directed_category directed_category; typedef typename graph_traits< Graph >::vertices_size_type vertices_size_type; typedef typename graph_traits< Graph >::edges_size_type edges_size_type; public: typedef std::input_iterator_tag iterator_category; typedef std::pair< vertices_size_type, vertices_size_type > value_type; typedef const value_type& reference; typedef const value_type* pointer; typedef std::ptrdiff_t difference_type; // Not used // No argument constructor, set to terminating condition rmat_iterator() : gen(), edge(0) {} // Initialize for edge generation rmat_iterator(RandomGenerator& gen, vertices_size_type n, edges_size_type m, double a, double b, double c, double d, bool permute_vertices = true) : gen() , n(n) , a(a) , b(b) , c(c) , d(d) , edge(m) , permute_vertices(permute_vertices) , SCALE(int_log2(n)) { this->gen.reset(new uniform_01< RandomGenerator >(gen)); // BOOST_ASSERT(boost::test_tools::check_is_close(a + b + c + // d, 1., 1.e-5)); if (permute_vertices) generate_permutation_vector(gen, vertexPermutation, n); // TODO: Generate the entire adjacency matrix then "Clip and flip" if // undirected graph // Generate the first edge vertices_size_type u, v; boost::tie(u, v) = generate_edge(this->gen, n, SCALE, a, b, c, d); if (permute_vertices) current = std::make_pair(vertexPermutation[u], vertexPermutation[v]); else current = std::make_pair(u, v); --edge; } reference operator*() const { return current; } pointer operator->() const { return ¤t; } rmat_iterator& operator++() { vertices_size_type u, v; boost::tie(u, v) = generate_edge(this->gen, n, SCALE, a, b, c, d); if (permute_vertices) current = std::make_pair(vertexPermutation[u], vertexPermutation[v]); else current = std::make_pair(u, v); --edge; return *this; } rmat_iterator operator++(int) { rmat_iterator temp(*this); ++(*this); return temp; } bool operator==(const rmat_iterator& other) const { return edge == other.edge; } bool operator!=(const rmat_iterator& other) const { return !(*this == other); } private: // Parameters shared_ptr< uniform_01< RandomGenerator > > gen; vertices_size_type n; double a, b, c, d; int edge; bool permute_vertices; int SCALE; // Internal data structures std::vector< vertices_size_type > vertexPermutation; value_type current; }; // Sorted version for CSR template < typename T > struct sort_pair { bool operator()(const std::pair< T, T >& x, const std::pair< T, T >& y) { if (x.first == y.first) return x.second > y.second; else return x.first > y.first; } }; template < typename RandomGenerator, typename Graph, typename EdgePredicate = keep_all_edges > class sorted_rmat_iterator { typedef typename graph_traits< Graph >::directed_category directed_category; typedef typename graph_traits< Graph >::vertices_size_type vertices_size_type; typedef typename graph_traits< Graph >::edges_size_type edges_size_type; public: typedef std::input_iterator_tag iterator_category; typedef std::pair< vertices_size_type, vertices_size_type > value_type; typedef const value_type& reference; typedef const value_type* pointer; typedef std::ptrdiff_t difference_type; // Not used // No argument constructor, set to terminating condition sorted_rmat_iterator() : gen(), values(sort_pair< vertices_size_type >()), done(true) { } // Initialize for edge generation sorted_rmat_iterator(RandomGenerator& gen, vertices_size_type n, edges_size_type m, double a, double b, double c, double d, bool permute_vertices = true, EdgePredicate ep = keep_all_edges()) : gen() , permute_vertices(permute_vertices) , values(sort_pair< vertices_size_type >()) , done(false) { // BOOST_ASSERT(boost::test_tools::check_is_close(a + b + c + // d, 1., 1.e-5)); this->gen.reset(new uniform_01< RandomGenerator >(gen)); std::vector< vertices_size_type > vertexPermutation; if (permute_vertices) generate_permutation_vector(gen, vertexPermutation, n); // TODO: "Clip and flip" if undirected graph int SCALE = int_log2(n); for (edges_size_type i = 0; i < m; ++i) { vertices_size_type u, v; boost::tie(u, v) = generate_edge(this->gen, n, SCALE, a, b, c, d); if (permute_vertices) { if (ep(vertexPermutation[u], vertexPermutation[v])) values.push(std::make_pair( vertexPermutation[u], vertexPermutation[v])); } else { if (ep(u, v)) values.push(std::make_pair(u, v)); } } current = values.top(); values.pop(); } reference operator*() const { return current; } pointer operator->() const { return ¤t; } sorted_rmat_iterator& operator++() { if (!values.empty()) { current = values.top(); values.pop(); } else done = true; return *this; } sorted_rmat_iterator operator++(int) { sorted_rmat_iterator temp(*this); ++(*this); return temp; } bool operator==(const sorted_rmat_iterator& other) const { return values.empty() && other.values.empty() && done && other.done; } bool operator!=(const sorted_rmat_iterator& other) const { return !(*this == other); } private: // Parameters shared_ptr< uniform_01< RandomGenerator > > gen; bool permute_vertices; // Internal data structures std::priority_queue< value_type, std::vector< value_type >, sort_pair< vertices_size_type > > values; value_type current; bool done; }; // This version is slow but guarantees unique edges template < typename RandomGenerator, typename Graph, typename EdgePredicate = keep_all_edges > class unique_rmat_iterator { typedef typename graph_traits< Graph >::directed_category directed_category; typedef typename graph_traits< Graph >::vertices_size_type vertices_size_type; typedef typename graph_traits< Graph >::edges_size_type edges_size_type; public: typedef std::input_iterator_tag iterator_category; typedef std::pair< vertices_size_type, vertices_size_type > value_type; typedef const value_type& reference; typedef const value_type* pointer; typedef std::ptrdiff_t difference_type; // Not used // No argument constructor, set to terminating condition unique_rmat_iterator() : gen(), done(true) {} // Initialize for edge generation unique_rmat_iterator(RandomGenerator& gen, vertices_size_type n, edges_size_type m, double a, double b, double c, double d, bool permute_vertices = true, EdgePredicate ep = keep_all_edges()) : gen(), done(false) { // BOOST_ASSERT(boost::test_tools::check_is_close(a + b + c + // d, 1., 1.e-5)); this->gen.reset(new uniform_01< RandomGenerator >(gen)); std::vector< vertices_size_type > vertexPermutation; if (permute_vertices) generate_permutation_vector(gen, vertexPermutation, n); int SCALE = int_log2(n); std::map< value_type, bool > edge_map; edges_size_type edges = 0; do { vertices_size_type u, v; boost::tie(u, v) = generate_edge(this->gen, n, SCALE, a, b, c, d); // Lowest vertex number always comes first // (this means we don't have to worry about i->j and j->i being in // the edge list) if (u > v && is_same< directed_category, undirected_tag >::value) std::swap(u, v); if (edge_map.find(std::make_pair(u, v)) == edge_map.end()) { edge_map[std::make_pair(u, v)] = true; if (permute_vertices) { if (ep(vertexPermutation[u], vertexPermutation[v])) values.push_back(std::make_pair( vertexPermutation[u], vertexPermutation[v])); } else { if (ep(u, v)) values.push_back(std::make_pair(u, v)); } edges++; } } while (edges < m); // NGE - Asking for more than n^2 edges will result in an infinite loop // here // Asking for a value too close to n^2 edges may as well current = values.back(); values.pop_back(); } reference operator*() const { return current; } pointer operator->() const { return ¤t; } unique_rmat_iterator& operator++() { if (!values.empty()) { current = values.back(); values.pop_back(); } else done = true; return *this; } unique_rmat_iterator operator++(int) { unique_rmat_iterator temp(*this); ++(*this); return temp; } bool operator==(const unique_rmat_iterator& other) const { return values.empty() && other.values.empty() && done && other.done; } bool operator!=(const unique_rmat_iterator& other) const { return !(*this == other); } private: // Parameters shared_ptr< uniform_01< RandomGenerator > > gen; // Internal data structures std::vector< value_type > values; value_type current; bool done; }; // This version is slow but guarantees unique edges template < typename RandomGenerator, typename Graph, typename EdgePredicate = keep_all_edges > class sorted_unique_rmat_iterator { typedef typename graph_traits< Graph >::directed_category directed_category; typedef typename graph_traits< Graph >::vertices_size_type vertices_size_type; typedef typename graph_traits< Graph >::edges_size_type edges_size_type; public: typedef std::input_iterator_tag iterator_category; typedef std::pair< vertices_size_type, vertices_size_type > value_type; typedef const value_type& reference; typedef const value_type* pointer; typedef std::ptrdiff_t difference_type; // Not used // No argument constructor, set to terminating condition sorted_unique_rmat_iterator() : gen(), values(sort_pair< vertices_size_type >()), done(true) { } // Initialize for edge generation sorted_unique_rmat_iterator(RandomGenerator& gen, vertices_size_type n, edges_size_type m, double a, double b, double c, double d, bool bidirectional = false, bool permute_vertices = true, EdgePredicate ep = keep_all_edges()) : gen() , bidirectional(bidirectional) , values(sort_pair< vertices_size_type >()) , done(false) { // BOOST_ASSERT(boost::test_tools::check_is_close(a + b + c + // d, 1., 1.e-5)); this->gen.reset(new uniform_01< RandomGenerator >(gen)); std::vector< vertices_size_type > vertexPermutation; if (permute_vertices) generate_permutation_vector(gen, vertexPermutation, n); int SCALE = int_log2(n); std::map< value_type, bool > edge_map; edges_size_type edges = 0; do { vertices_size_type u, v; boost::tie(u, v) = generate_edge(this->gen, n, SCALE, a, b, c, d); if (bidirectional) { if (edge_map.find(std::make_pair(u, v)) == edge_map.end()) { edge_map[std::make_pair(u, v)] = true; edge_map[std::make_pair(v, u)] = true; if (ep(u, v)) { if (permute_vertices) { values.push(std::make_pair( vertexPermutation[u], vertexPermutation[v])); values.push(std::make_pair( vertexPermutation[v], vertexPermutation[u])); } else { values.push(std::make_pair(u, v)); values.push(std::make_pair(v, u)); } } ++edges; } } else { // Lowest vertex number always comes first // (this means we don't have to worry about i->j and j->i being // in the edge list) if (u > v && is_same< directed_category, undirected_tag >::value) std::swap(u, v); if (edge_map.find(std::make_pair(u, v)) == edge_map.end()) { edge_map[std::make_pair(u, v)] = true; if (permute_vertices) { if (ep(vertexPermutation[u], vertexPermutation[v])) values.push(std::make_pair( vertexPermutation[u], vertexPermutation[v])); } else { if (ep(u, v)) values.push(std::make_pair(u, v)); } ++edges; } } } while (edges < m); // NGE - Asking for more than n^2 edges will result in an infinite loop // here // Asking for a value too close to n^2 edges may as well current = values.top(); values.pop(); } reference operator*() const { return current; } pointer operator->() const { return ¤t; } sorted_unique_rmat_iterator& operator++() { if (!values.empty()) { current = values.top(); values.pop(); } else done = true; return *this; } sorted_unique_rmat_iterator operator++(int) { sorted_unique_rmat_iterator temp(*this); ++(*this); return temp; } bool operator==(const sorted_unique_rmat_iterator& other) const { return values.empty() && other.values.empty() && done && other.done; } bool operator!=(const sorted_unique_rmat_iterator& other) const { return !(*this == other); } private: // Parameters shared_ptr< uniform_01< RandomGenerator > > gen; bool bidirectional; // Internal data structures std::priority_queue< value_type, std::vector< value_type >, sort_pair< vertices_size_type > > values; value_type current; bool done; }; } // end namespace boost #include BOOST_GRAPH_MPI_INCLUDE(<boost/graph/distributed/rmat_graph_generator.hpp>) #endif // BOOST_GRAPH_RMAT_GENERATOR_HPP
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