LAL: Linear Arrangement Library 23.01.00
A library focused on algorithms on linear arrangements of graphs.
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2level.hpp
1/*********************************************************************
2 *
3 * Linear Arrangement Library - A library that implements a collection
4 * algorithms for linear arrangments of graphs.
5 *
6 * Copyright (C) 2019 - 2023
7 *
8 * This file is part of Linear Arrangement Library. The full code is available
9 * at:
10 * https://github.com/LAL-project/linear-arrangement-library.git
11 *
12 * Linear Arrangement Library is free software: you can redistribute it
13 * and/or modify it under the terms of the GNU Affero General Public License
14 * as published by the Free Software Foundation, either version 3 of the
15 * License, or (at your option) any later version.
16 *
17 * Linear Arrangement Library is distributed in the hope that it will be
18 * useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
19 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
20 * GNU Affero General Public License for more details.
21 *
22 * You should have received a copy of the GNU Affero General Public License
23 * along with Linear Arrangement Library. If not, see <http://www.gnu.org/licenses/>.
24 *
25 * Contact:
26 *
27 * LluĂ­s Alemany Puig (lalemany@cs.upc.edu)
28 * LARCA (Laboratory for Relational Algorithmics, Complexity and Learning)
29 * CQL (Complexity and Quantitative Linguistics Lab)
30 * Jordi Girona St 1-3, Campus Nord UPC, 08034 Barcelona. CATALONIA, SPAIN
31 * Webpage: https://cqllab.upc.edu/people/lalemany/
32 *
33 * Ramon Ferrer i Cancho (rferrericancho@cs.upc.edu)
34 * LARCA (Laboratory for Relational Algorithmics, Complexity and Learning)
35 * CQL (Complexity and Quantitative Linguistics Lab)
36 * Office S124, Omega building
37 * Jordi Girona St 1-3, Campus Nord UPC, 08034 Barcelona. CATALONIA, SPAIN
38 * Webpage: https://cqllab.upc.edu/people/rferrericancho/
39 *
40 ********************************************************************/
41
42#pragma once
43
44// C++ includes
45#if defined DEBUG
46#include <cassert>
47#endif
48#include <vector>
49
50// lal includes
51#include <lal/linear_arrangement.hpp>
52#include <lal/numeric/rational.hpp>
53#include <lal/linarr/D.hpp>
54#include <lal/utilities/aggregations.hpp>
55
56namespace lal {
57namespace linarr {
58
59/* 2-LEVEL METRICS */
60
61// **DEVELOPER NOTE**
62// This function's documentation has to be updated manually in the python
63// interface file '.i' 'python-interface/submodules/linarr.i'
85template <class graph_t>
87(const std::vector<graph_t>& L, const std::vector<linear_arrangement>& P = {})
88noexcept
89{
90 static_assert(std::is_base_of_v<graphs::graph, graph_t>);
91
92#if defined DEBUG
93 // the number of graphs and number of linear arrangements
94 // must coincide unless no arrangement was given.
95 assert(P.size() == 0 or L.size() == P.size());
96#endif
97
98 typedef numeric::rational ratio;
99 typedef linear_arrangement ARR;
100
101 if (P.size() == 0) {
102
103#define IDE linear_arrangement::identity(G.get_num_nodes())
104 return utilities::two_level_aggregation<ratio, true>
105 (
106 L.begin(), L.end(), nullptr, nullptr,
107 // values
108 [](const graph_t& G) { return mean_dependency_distance_rational(G, IDE); },
109 // combine values
110 [](const ratio& MDD) { return MDD; },
111 // accumulate
112 [](ratio& total, const ratio& MDD) { total += MDD; },
113 // average the values
114 [](const ratio& sum_MDD, std::size_t num_graphs) { return sum_MDD/num_graphs; }
115 );
116#undef IDE
117
118 }
119 else {
120 return utilities::two_level_aggregation<ratio, false>
121 (
122 L.begin(), L.end(), P.begin(), P.end(),
123 // values
124 [](const graph_t& G, const ARR& arr) { return mean_dependency_distance_rational(G, arr); },
125 // combine values
126 [](const ratio& MDD) { return MDD; },
127 // accumulate
128 [](ratio& sum_MDD, const ratio& MDD) { sum_MDD += MDD; },
129 // average the values
130 [](const ratio& sum_MDD, std::size_t num_graphs) { return sum_MDD/num_graphs; }
131 );
132 }
133}
134
135// **DEVELOPER NOTE**
136// This function's documentation has to be updated manually in the python
137// interface file '.i' 'python-interface/submodules/linarr.i'
149template <class graph_t>
151(const std::vector<graph_t>& L, const std::vector<linear_arrangement>& P = {})
152noexcept
153{
155}
156
157} // -- namespace linarr
158} // -- namespace lal
Linear arrangement of vertices.
Definition: linear_arrangement.hpp:103
Exact rational number.
Definition: rational.hpp:63
double to_double() const noexcept
Converts this rational to a double-precision floating-point value.
Definition: rational.hpp:850
numeric::rational mean_dependency_distance_2level_rational(const std::vector< graph_t > &L, const std::vector< linear_arrangement > &P={}) noexcept
2-level Mean Dependency Distance over an ensemble of graphs.
Definition: 2level.hpp:87
double mean_dependency_distance_2level(const std::vector< graph_t > &L, const std::vector< linear_arrangement > &P={}) noexcept
2-level Mean Dependency Distance over an ensemble of graphs.
Definition: 2level.hpp:151
Main namespace of the library.
Definition: basic_types.hpp:50