r844:c01a98ce01fd
Tue, 12 May 2009 13:09:55
[Not Reviewed]
0 comments (0 inline)
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/* -*- mode: C++; indent-tabs-mode: nil; -*- |
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* |
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* This file is a part of LEMON, a generic C++ optimization library. |
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* |
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* Copyright (C) 2003-2009 |
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* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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* (Egervary Research Group on Combinatorial Optimization, EGRES). |
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* |
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* Permission to use, modify and distribute this software is granted |
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* provided that this copyright notice appears in all copies. For |
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* precise terms see the accompanying LICENSE file. |
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* |
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* This software is provided "AS IS" with no warranty of any kind, |
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* express or implied, and with no claim as to its suitability for any |
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* purpose. |
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* |
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*/ |
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namespace lemon {
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/** |
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\page min_cost_flow Minimum Cost Flow Problem |
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\section mcf_def Definition (GEQ form) |
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The \e minimum \e cost \e flow \e problem is to find a feasible flow of |
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minimum total cost from a set of supply nodes to a set of demand nodes |
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in a network with capacity constraints (lower and upper bounds) |
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and arc costs. |
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Formally, let \f$G=(V,A)\f$ be a digraph, \f$lower: A\rightarrow\mathbf{R}\f$,
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\f$upper: A\rightarrow\mathbf{R}\cup\{+\infty\}\f$ denote the lower and
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upper bounds for the flow values on the arcs, for which |
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\f$lower(uv) \leq upper(uv)\f$ must hold for all \f$uv\in A\f$, |
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\f$cost: A\rightarrow\mathbf{R}\f$ denotes the cost per unit flow
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on the arcs and \f$sup: V\rightarrow\mathbf{R}\f$ denotes the
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signed supply values of the nodes. |
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If \f$sup(u)>0\f$, then \f$u\f$ is a supply node with \f$sup(u)\f$ |
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supply, if \f$sup(u)<0\f$, then \f$u\f$ is a demand node with |
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\f$-sup(u)\f$ demand. |
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A minimum cost flow is an \f$f: A\rightarrow\mathbf{R}\f$ solution
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of the following optimization problem. |
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\f[ \min\sum_{uv\in A} f(uv) \cdot cost(uv) \f]
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\f[ \sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \geq
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sup(u) \quad \forall u\in V \f] |
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\f[ lower(uv) \leq f(uv) \leq upper(uv) \quad \forall uv\in A \f] |
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The sum of the supply values, i.e. \f$\sum_{u\in V} sup(u)\f$ must be
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zero or negative in order to have a feasible solution (since the sum |
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of the expressions on the left-hand side of the inequalities is zero). |
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It means that the total demand must be greater or equal to the total |
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supply and all the supplies have to be carried out from the supply nodes, |
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but there could be demands that are not satisfied. |
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If \f$\sum_{u\in V} sup(u)\f$ is zero, then all the supply/demand
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constraints have to be satisfied with equality, i.e. all demands |
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have to be satisfied and all supplies have to be used. |
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\section mcf_algs Algorithms |
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LEMON contains several algorithms for solving this problem, for more |
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information see \ref min_cost_flow_algs "Minimum Cost Flow Algorithms". |
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A feasible solution for this problem can be found using \ref Circulation. |
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\section mcf_dual Dual Solution |
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The dual solution of the minimum cost flow problem is represented by |
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node potentials \f$\pi: V\rightarrow\mathbf{R}\f$.
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An \f$f: A\rightarrow\mathbf{R}\f$ primal feasible solution is optimal
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if and only if for some \f$\pi: V\rightarrow\mathbf{R}\f$ node potentials
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the following \e complementary \e slackness optimality conditions hold. |
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- For all \f$uv\in A\f$ arcs: |
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- if \f$cost^\pi(uv)>0\f$, then \f$f(uv)=lower(uv)\f$; |
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- if \f$lower(uv)<f(uv)<upper(uv)\f$, then \f$cost^\pi(uv)=0\f$; |
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- if \f$cost^\pi(uv)<0\f$, then \f$f(uv)=upper(uv)\f$. |
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- For all \f$u\in V\f$ nodes: |
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- \f$\pi(u)<=0\f$; |
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- if \f$\sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \neq sup(u)\f$,
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then \f$\pi(u)=0\f$. |
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Here \f$cost^\pi(uv)\f$ denotes the \e reduced \e cost of the arc |
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\f$uv\in A\f$ with respect to the potential function \f$\pi\f$, i.e. |
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\f[ cost^\pi(uv) = cost(uv) + \pi(u) - \pi(v).\f] |
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All algorithms provide dual solution (node potentials), as well, |
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if an optimal flow is found. |
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\section mcf_eq Equality Form |
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The above \ref mcf_def "definition" is actually more general than the |
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usual formulation of the minimum cost flow problem, in which strict |
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equalities are required in the supply/demand contraints. |
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\f[ \min\sum_{uv\in A} f(uv) \cdot cost(uv) \f]
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\f[ \sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) =
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sup(u) \quad \forall u\in V \f] |
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\f[ lower(uv) \leq f(uv) \leq upper(uv) \quad \forall uv\in A \f] |
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However if the sum of the supply values is zero, then these two problems |
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are equivalent. |
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The \ref min_cost_flow_algs "algorithms" in LEMON support the general |
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form, so if you need the equality form, you have to ensure this additional |
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contraint manually. |
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\section mcf_leq Opposite Inequalites (LEQ Form) |
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Another possible definition of the minimum cost flow problem is |
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when there are <em>"less or equal"</em> (LEQ) supply/demand constraints, |
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instead of the <em>"greater or equal"</em> (GEQ) constraints. |
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\f[ \min\sum_{uv\in A} f(uv) \cdot cost(uv) \f]
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\f[ \sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \leq
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sup(u) \quad \forall u\in V \f] |
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\f[ lower(uv) \leq f(uv) \leq upper(uv) \quad \forall uv\in A \f] |
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It means that the total demand must be less or equal to the |
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total supply (i.e. \f$\sum_{u\in V} sup(u)\f$ must be zero or
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positive) and all the demands have to be satisfied, but there |
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could be supplies that are not carried out from the supply |
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nodes. |
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The equality form is also a special case of this form, of course. |
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You could easily transform this case to the \ref mcf_def "GEQ form" |
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of the problem by reversing the direction of the arcs and taking the |
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negative of the supply values (e.g. using \ref ReverseDigraph and |
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\ref NegMap adaptors). |
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However \ref NetworkSimplex algorithm also supports this form directly |
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for the sake of convenience. |
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Note that the optimality conditions for this supply constraint type are |
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slightly differ from the conditions that are discussed for the GEQ form, |
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namely the potentials have to be non-negative instead of non-positive. |
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An \f$f: A\rightarrow\mathbf{R}\f$ feasible solution of this problem
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is optimal if and only if for some \f$\pi: V\rightarrow\mathbf{R}\f$
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node potentials the following conditions hold. |
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- For all \f$uv\in A\f$ arcs: |
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- if \f$cost^\pi(uv)>0\f$, then \f$f(uv)=lower(uv)\f$; |
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- if \f$lower(uv)<f(uv)<upper(uv)\f$, then \f$cost^\pi(uv)=0\f$; |
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- if \f$cost^\pi(uv)<0\f$, then \f$f(uv)=upper(uv)\f$. |
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- For all \f$u\in V\f$ nodes: |
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- \f$\pi(u)>=0\f$; |
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- if \f$\sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \neq sup(u)\f$,
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then \f$\pi(u)=0\f$. |
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*/ |
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} |
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CMAKE_MINIMUM_REQUIRED(VERSION 2.6) |
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IF(EXISTS ${CMAKE_SOURCE_DIR}/cmake/version.cmake)
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INCLUDE(${CMAKE_SOURCE_DIR}/cmake/version.cmake)
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ELSE(EXISTS ${CMAKE_SOURCE_DIR}/cmake/version.cmake)
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SET(PROJECT_NAME "LEMON") |
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SET(PROJECT_VERSION "hg-tip" CACHE STRING "LEMON version string.") |
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ENDIF(EXISTS ${CMAKE_SOURCE_DIR}/cmake/version.cmake)
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PROJECT(${PROJECT_NAME})
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SET(CMAKE_MODULE_PATH ${PROJECT_SOURCE_DIR}/cmake)
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INCLUDE(FindDoxygen) |
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INCLUDE(FindGhostscript) |
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FIND_PACKAGE(GLPK 4.33) |
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FIND_PACKAGE(CPLEX) |
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FIND_PACKAGE(COIN) |
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|
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IF(MSVC) |
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SET(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /wd4250 /wd4355 /wd4800 /wd4996")
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# Suppressed warnings: |
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# C4250: 'class1' : inherits 'class2::member' via dominance |
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# C4355: 'this' : used in base member initializer list |
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# C4800: 'type' : forcing value to bool 'true' or 'false' (performance warning) |
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# C4996: 'function': was declared deprecated |
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ENDIF(MSVC) |
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INCLUDE(CheckTypeSize) |
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CHECK_TYPE_SIZE("long long" LEMON_LONG_LONG)
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ENABLE_TESTING() |
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ADD_SUBDIRECTORY(lemon) |
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IF(${CMAKE_SOURCE_DIR} STREQUAL ${PROJECT_SOURCE_DIR})
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ADD_SUBDIRECTORY(demo) |
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ADD_SUBDIRECTORY(tools) |
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ADD_SUBDIRECTORY(doc) |
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ADD_SUBDIRECTORY(test) |
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ENDIF(${CMAKE_SOURCE_DIR} STREQUAL ${PROJECT_SOURCE_DIR})
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IF(${CMAKE_SOURCE_DIR} STREQUAL ${PROJECT_SOURCE_DIR})
|
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IF(WIN32) |
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SET(CPACK_PACKAGE_NAME ${PROJECT_NAME})
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SET(CPACK_PACKAGE_VENDOR "EGRES") |
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SET(CPACK_PACKAGE_DESCRIPTION_SUMMARY |
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"LEMON - Library |
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"LEMON - Library for Efficient Modeling and Optimization in Networks") |
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SET(CPACK_RESOURCE_FILE_LICENSE "${PROJECT_SOURCE_DIR}/LICENSE")
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SET(CPACK_PACKAGE_VERSION ${PROJECT_VERSION})
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| 51 | 51 |
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SET(CPACK_PACKAGE_INSTALL_DIRECTORY |
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"${PROJECT_NAME} ${PROJECT_VERSION}")
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SET(CPACK_PACKAGE_INSTALL_REGISTRY_KEY |
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"${PROJECT_NAME} ${PROJECT_VERSION}")
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| 56 | 56 |
|
| 57 | 57 |
SET(CPACK_COMPONENTS_ALL headers library html_documentation bin) |
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|
| 59 | 59 |
SET(CPACK_COMPONENT_HEADERS_DISPLAY_NAME "C++ headers") |
| 60 | 60 |
SET(CPACK_COMPONENT_LIBRARY_DISPLAY_NAME "Dynamic-link library") |
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SET(CPACK_COMPONENT_BIN_DISPLAY_NAME "Command line utilities") |
| 62 | 62 |
SET(CPACK_COMPONENT_HTML_DOCUMENTATION_DISPLAY_NAME "HTML documentation") |
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|
| 64 | 64 |
SET(CPACK_COMPONENT_HEADERS_DESCRIPTION |
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"C++ header files") |
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SET(CPACK_COMPONENT_LIBRARY_DESCRIPTION |
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"DLL and import library") |
| 68 | 68 |
SET(CPACK_COMPONENT_BIN_DESCRIPTION |
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"Command line utilities") |
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SET(CPACK_COMPONENT_HTML_DOCUMENTATION_DESCRIPTION |
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"Doxygen generated documentation") |
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|
| 73 | 73 |
SET(CPACK_COMPONENT_HEADERS_DEPENDS library) |
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|
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SET(CPACK_COMPONENT_HEADERS_GROUP "Development") |
| 76 | 76 |
SET(CPACK_COMPONENT_LIBRARY_GROUP "Development") |
| 77 | 77 |
SET(CPACK_COMPONENT_HTML_DOCUMENTATION_GROUP "Documentation") |
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|
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SET(CPACK_COMPONENT_GROUP_DEVELOPMENT_DESCRIPTION |
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"Components needed to develop software using LEMON") |
| 81 | 81 |
SET(CPACK_COMPONENT_GROUP_DOCUMENTATION_DESCRIPTION |
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"Documentation of LEMON") |
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|
| 84 | 84 |
SET(CPACK_ALL_INSTALL_TYPES Full Developer) |
| 85 | 85 |
|
| 86 | 86 |
SET(CPACK_COMPONENT_HEADERS_INSTALL_TYPES Developer Full) |
| 87 | 87 |
SET(CPACK_COMPONENT_LIBRARY_INSTALL_TYPES Developer Full) |
| 88 | 88 |
SET(CPACK_COMPONENT_HTML_DOCUMENTATION_INSTALL_TYPES Full) |
| 89 | 89 |
|
| 90 | 90 |
SET(CPACK_GENERATOR "NSIS") |
| 91 | 91 |
SET(CPACK_NSIS_MUI_ICON "${PROJECT_SOURCE_DIR}/cmake/nsis/lemon.ico")
|
| 92 | 92 |
SET(CPACK_NSIS_MUI_UNIICON "${PROJECT_SOURCE_DIR}/cmake/nsis/uninstall.ico")
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| 93 | 93 |
#SET(CPACK_PACKAGE_ICON "${PROJECT_SOURCE_DIR}/cmake/nsis\\\\installer.bmp")
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| 94 | 94 |
SET(CPACK_NSIS_INSTALLED_ICON_NAME "bin\\\\lemon.ico") |
| 95 | 95 |
SET(CPACK_NSIS_DISPLAY_NAME "${CPACK_PACKAGE_INSTALL_DIRECTORY} ${PROJECT_NAME}")
|
| 96 | 96 |
SET(CPACK_NSIS_HELP_LINK "http:\\\\\\\\lemon.cs.elte.hu") |
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SET(CPACK_NSIS_URL_INFO_ABOUT "http:\\\\\\\\lemon.cs.elte.hu") |
| 98 | 98 |
SET(CPACK_NSIS_CONTACT "lemon-user@lemon.cs.elte.hu") |
| 99 | 99 |
SET(CPACK_NSIS_CREATE_ICONS_EXTRA " |
| 100 | 100 |
CreateShortCut \\\"$SMPROGRAMS\\\\$STARTMENU_FOLDER\\\\Documentation.lnk\\\" \\\"$INSTDIR\\\\share\\\\doc\\\\index.html\\\" |
| 101 | 101 |
") |
| 102 | 102 |
SET(CPACK_NSIS_DELETE_ICONS_EXTRA " |
| 103 | 103 |
!insertmacro MUI_STARTMENU_GETFOLDER Application $MUI_TEMP |
| 104 | 104 |
Delete \\\"$SMPROGRAMS\\\\$MUI_TEMP\\\\Documentation.lnk\\\" |
| 105 | 105 |
") |
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|
| 107 | 107 |
INCLUDE(CPack) |
| 108 | 108 |
ENDIF(WIN32) |
| 109 | 109 |
ENDIF(${CMAKE_SOURCE_DIR} STREQUAL ${PROJECT_SOURCE_DIR})
|
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2009-05-13 Version 1.1 released |
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This is the second stable release of the 1.x series. It |
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features a better coverage of the tools available in the 0.x |
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series, a thoroughly reworked LP/MIP interface plus various |
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improvements in the existing tools. |
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|
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* Much improved M$ Windows support |
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* Various improvements in the CMAKE build system |
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* Compilation warnings are fixed/suppressed |
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* Support IBM xlC compiler |
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* New algorithms |
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* Connectivity related algorithms (#61) |
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* Euler walks (#65) |
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* Preflow push-relabel max. flow algorithm (#176) |
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* Circulation algorithm (push-relabel based) (#175) |
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* Suurballe algorithm (#47) |
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* Gomory-Hu algorithm (#66) |
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* Hao-Orlin algorithm (#58) |
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* Edmond's maximum cardinality and weighted matching algorithms |
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in general graphs (#48,#265) |
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* Minimum cost arborescence/branching (#60) |
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* Network Simplex min. cost flow algorithm (#234) |
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* New data structures |
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* Full graph structure (#57) |
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* Grid graph structure (#57) |
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* Hypercube graph structure (#57) |
|
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* Graph adaptors (#67) |
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* ArcSet and EdgeSet classes (#67) |
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* Elevator class (#174) |
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* Other new tools |
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* LP/MIP interface (#44) |
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* Support for GLPK, CPLEX, Soplex, COIN-OR CLP and CBC |
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* Reader for the Nauty file format (#55) |
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* DIMACS readers (#167) |
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| 36 |
* Radix sort algorithms (#72) |
|
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* RangeIdMap and CrossRefMap (#160) |
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* New command line tools |
|
| 39 |
* DIMACS to LGF converter (#182) |
|
| 40 |
* lgf-gen - a graph generator (#45) |
|
| 41 |
* DIMACS solver utility (#226) |
|
| 42 |
* Other code improvements |
|
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* Lognormal distribution added to Random (#102) |
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* Better (i.e. O(1) time) item counting in SmartGraph (#3) |
|
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* The standard maps of graphs are guaranteed to be |
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reference maps (#190) |
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* Miscellaneous |
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* Various doc improvements |
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| 49 |
* Improved 0.x -> 1.x converter script |
|
| 50 |
|
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* Several bugfixes (compared to release 1.0): |
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| 52 |
#170: Bugfix SmartDigraph::split() |
|
| 53 |
#171: Bugfix in SmartGraph::restoreSnapshot() |
|
| 54 |
#172: Extended test cases for graphs and digraphs |
|
| 55 |
#173: Bugfix in Random |
|
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* operator()s always return a double now |
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* the faulty real<Num>(Num) and real<Num>(Num,Num) |
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| 58 |
have been removed |
|
| 59 |
#187: Remove DijkstraWidestPathOperationTraits |
|
| 60 |
#61: Bugfix in DfsVisit |
|
| 61 |
#193: Bugfix in GraphReader::skipSection() |
|
| 62 |
#195: Bugfix in ConEdgeIt() |
|
| 63 |
#197: Bugfix in heap unionfind |
|
| 64 |
* This bug affects Edmond's general matching algorithms |
|
| 65 |
#207: Fix 'make install' without 'make html' using CMAKE |
|
| 66 |
#208: Suppress or fix VS2008 compilation warnings |
|
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----: Update the LEMON icon |
|
| 68 |
----: Enable the component-based installer |
|
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(in installers made by CPACK) |
|
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----: Set the proper version for CMAKE in the tarballs |
|
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(made by autotools) |
|
| 72 |
----: Minor clarification in the LICENSE file |
|
| 73 |
----: Add missing unistd.h include to time_measure.h |
|
| 74 |
#204: Compilation bug fixed in graph_to_eps.h with VS2005 |
|
| 75 |
#214,#215: windows.h should never be included by lemon headers |
|
| 76 |
#230: Build systems check the availability of 'long long' type |
|
| 77 |
#229: Default implementation of Tolerance<> is used for integer types |
|
| 78 |
#211,#212: Various fixes for compiling on AIX |
|
| 79 |
----: Improvements in CMAKE config |
|
| 80 |
- docs is installed in share/doc/ |
|
| 81 |
- detects newer versions of Ghostscript |
|
| 82 |
#239: Fix missing 'inline' specifier in time_measure.h |
|
| 83 |
#274,#280: Install lemon/config.h |
|
| 84 |
#275: Prefix macro names with LEMON_ in lemon/config.h |
|
| 85 |
----: Small script for making the release tarballs added |
|
| 86 |
----: Minor improvement in unify-sources.sh (a76f55d7d397) |
|
| 87 |
|
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2009-03-27 LEMON joins to the COIN-OR initiative |
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|
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COIN-OR (Computational Infrastructure for Operations Research, |
| 4 | 91 |
http://www.coin-or.org) project is an initiative to spur the |
| 5 | 92 |
development of open-source software for the operations research |
| 6 | 93 |
community. |
| 7 | 94 |
|
| 8 | 95 |
2008-10-13 Version 1.0 released |
| 9 | 96 |
|
| 10 | 97 |
This is the first stable release of LEMON. Compared to the 0.x |
| 11 | 98 |
release series, it features a considerably smaller but more |
| 12 | 99 |
matured set of tools. The API has also completely revised and |
| 13 | 100 |
changed in several places. |
| 14 | 101 |
|
| 15 | 102 |
* The major name changes compared to the 0.x series (see the |
| 16 | 103 |
Migration Guide in the doc for more details) |
| 17 | 104 |
* Graph -> Digraph, UGraph -> Graph |
| 18 | 105 |
* Edge -> Arc, UEdge -> Edge |
| 19 | 106 |
* source(UEdge)/target(UEdge) -> u(Edge)/v(Edge) |
| 20 | 107 |
* Other improvements |
| 21 | 108 |
* Better documentation |
| 22 | 109 |
* Reviewed and cleaned up codebase |
| 23 | 110 |
* CMake based build system (along with the autotools based one) |
| 24 | 111 |
* Contents of the library (ported from 0.x) |
| 25 | 112 |
* Algorithms |
| 26 | 113 |
* breadth-first search (bfs.h) |
| 27 | 114 |
* depth-first search (dfs.h) |
| 28 | 115 |
* Dijkstra's algorithm (dijkstra.h) |
| 29 | 116 |
* Kruskal's algorithm (kruskal.h) |
| 30 | 117 |
* Data structures |
| 31 | 118 |
* graph data structures (list_graph.h, smart_graph.h) |
| 32 | 119 |
* path data structures (path.h) |
| 33 | 120 |
* binary heap data structure (bin_heap.h) |
| 34 | 121 |
* union-find data structures (unionfind.h) |
| 35 | 122 |
* miscellaneous property maps (maps.h) |
| 36 | 123 |
* two dimensional vector and bounding box (dim2.h) |
| 37 | 124 |
* Concepts |
| 38 | 125 |
* graph structure concepts (concepts/digraph.h, concepts/graph.h, |
| 39 | 126 |
concepts/graph_components.h) |
| 40 | 127 |
* concepts for other structures (concepts/heap.h, concepts/maps.h, |
| 41 | 128 |
concepts/path.h) |
| 42 | 129 |
* Tools |
| 43 | 130 |
* Mersenne twister random number generator (random.h) |
| 44 | 131 |
* tools for measuring cpu and wall clock time (time_measure.h) |
| 45 | 132 |
* tools for counting steps and events (counter.h) |
| 46 | 133 |
* tool for parsing command line arguments (arg_parser.h) |
| 47 | 134 |
* tool for visualizing graphs (graph_to_eps.h) |
| 48 | 135 |
* tools for reading and writing data in LEMON Graph Format |
| 49 | 136 |
(lgf_reader.h, lgf_writer.h) |
| 50 | 137 |
* tools to handle the anomalies of calculations with |
| 51 | 138 |
floating point numbers (tolerance.h) |
| 52 | 139 |
* tools to manage RGB colors (color.h) |
| 53 | 140 |
* Infrastructure |
| 54 | 141 |
* extended assertion handling (assert.h) |
| 55 | 142 |
* exception classes and error handling (error.h) |
| 56 | 143 |
* concept checking (concept_check.h) |
| 57 | 144 |
* commonly used mathematical constants (math.h) |
| 1 |
================================================================== |
|
| 2 |
LEMON - a Library of Efficient Models and Optimization in Networks |
|
| 3 |
================================================================== |
|
| 1 |
===================================================================== |
|
| 2 |
LEMON - a Library for Efficient Modeling and Optimization in Networks |
|
| 3 |
===================================================================== |
|
| 4 | 4 |
|
| 5 | 5 |
LEMON is an open source library written in C++. It provides |
| 6 | 6 |
easy-to-use implementations of common data structures and algorithms |
| 7 | 7 |
in the area of optimization and helps implementing new ones. The main |
| 8 | 8 |
focus is on graphs and graph algorithms, thus it is especially |
| 9 | 9 |
suitable for solving design and optimization problems of |
| 10 | 10 |
telecommunication networks. To achieve wide usability its data |
| 11 | 11 |
structures and algorithms provide generic interfaces. |
| 12 | 12 |
|
| 13 | 13 |
Contents |
| 14 | 14 |
======== |
| 15 | 15 |
|
| 16 | 16 |
LICENSE |
| 17 | 17 |
|
| 18 | 18 |
Copying, distribution and modification conditions and terms. |
| 19 | 19 |
|
| 20 | 20 |
INSTALL |
| 21 | 21 |
|
| 22 | 22 |
General building and installation instructions. |
| 23 | 23 |
|
| 24 | 24 |
lemon/ |
| 25 | 25 |
|
| 26 | 26 |
Source code of LEMON library. |
| 27 | 27 |
|
| 28 | 28 |
doc/ |
| 29 | 29 |
|
| 30 | 30 |
Documentation of LEMON. The starting page is doc/html/index.html. |
| 31 | 31 |
|
| 32 | 32 |
demo/ |
| 33 | 33 |
|
| 34 | 34 |
Some example programs to make you easier to get familiar with LEMON. |
| 35 | 35 |
|
| 36 | 36 |
test/ |
| 37 | 37 |
|
| 38 | 38 |
Programs to check the integrity and correctness of LEMON. |
| 39 | 39 |
|
| 40 | 40 |
tools/ |
| 41 | 41 |
|
| 42 | 42 |
Various utilities related to LEMON. |
| 1 | 1 |
EXTRA_DIST += \ |
| 2 | 2 |
doc/Doxyfile.in \ |
| 3 | 3 |
doc/DoxygenLayout.xml \ |
| 4 | 4 |
doc/coding_style.dox \ |
| 5 | 5 |
doc/dirs.dox \ |
| 6 | 6 |
doc/groups.dox \ |
| 7 | 7 |
doc/lgf.dox \ |
| 8 | 8 |
doc/license.dox \ |
| 9 | 9 |
doc/mainpage.dox \ |
| 10 | 10 |
doc/migration.dox \ |
| 11 |
doc/min_cost_flow.dox \ |
|
| 11 | 12 |
doc/named-param.dox \ |
| 12 | 13 |
doc/namespaces.dox \ |
| 13 | 14 |
doc/html \ |
| 14 | 15 |
doc/CMakeLists.txt |
| 15 | 16 |
|
| 16 | 17 |
DOC_EPS_IMAGES18 = \ |
| 17 | 18 |
grid_graph.eps \ |
| 18 | 19 |
nodeshape_0.eps \ |
| 19 | 20 |
nodeshape_1.eps \ |
| 20 | 21 |
nodeshape_2.eps \ |
| 21 | 22 |
nodeshape_3.eps \ |
| 22 | 23 |
nodeshape_4.eps |
| 23 | 24 |
|
| 24 | 25 |
DOC_EPS_IMAGES27 = \ |
| 25 | 26 |
bipartite_matching.eps \ |
| 26 | 27 |
bipartite_partitions.eps \ |
| 27 | 28 |
connected_components.eps \ |
| 28 | 29 |
edge_biconnected_components.eps \ |
| 29 | 30 |
node_biconnected_components.eps \ |
| 30 | 31 |
strongly_connected_components.eps |
| 31 | 32 |
|
| 32 | 33 |
DOC_EPS_IMAGES = \ |
| 33 | 34 |
$(DOC_EPS_IMAGES18) \ |
| 34 | 35 |
$(DOC_EPS_IMAGES27) |
| 35 | 36 |
|
| 36 | 37 |
DOC_PNG_IMAGES = \ |
| 37 | 38 |
$(DOC_EPS_IMAGES:%.eps=doc/gen-images/%.png) |
| 38 | 39 |
|
| 39 | 40 |
EXTRA_DIST += $(DOC_EPS_IMAGES:%=doc/images/%) |
| 40 | 41 |
|
| 41 | 42 |
doc/html: |
| 42 | 43 |
$(MAKE) $(AM_MAKEFLAGS) html |
| 43 | 44 |
|
| 44 | 45 |
GS_COMMAND=gs -dNOPAUSE -dBATCH -q -dEPSCrop -dTextAlphaBits=4 -dGraphicsAlphaBits=4 |
| 45 | 46 |
|
| 46 | 47 |
$(DOC_EPS_IMAGES18:%.eps=doc/gen-images/%.png): doc/gen-images/%.png: doc/images/%.eps |
| 47 | 48 |
-mkdir doc/gen-images |
| 48 | 49 |
if test ${gs_found} = yes; then \
|
| 49 | 50 |
$(GS_COMMAND) -sDEVICE=pngalpha -r18 -sOutputFile=$@ $<; \ |
| 50 | 51 |
else \ |
| 51 | 52 |
echo; \ |
| 52 | 53 |
echo "Ghostscript not found."; \ |
| 53 | 54 |
echo; \ |
| 54 | 55 |
exit 1; \ |
| 55 | 56 |
fi |
| 56 | 57 |
|
| 57 | 58 |
$(DOC_EPS_IMAGES27:%.eps=doc/gen-images/%.png): doc/gen-images/%.png: doc/images/%.eps |
| 58 | 59 |
-mkdir doc/gen-images |
| 59 | 60 |
if test ${gs_found} = yes; then \
|
| 60 | 61 |
$(GS_COMMAND) -sDEVICE=pngalpha -r27 -sOutputFile=$@ $<; \ |
| 61 | 62 |
else \ |
| 62 | 63 |
echo; \ |
| 63 | 64 |
echo "Ghostscript not found."; \ |
| 64 | 65 |
echo; \ |
| 65 | 66 |
exit 1; \ |
| 66 | 67 |
fi |
| 67 | 68 |
|
| 68 | 69 |
html-local: $(DOC_PNG_IMAGES) |
| 69 | 70 |
if test ${doxygen_found} = yes; then \
|
| 70 | 71 |
cd doc; \ |
| 71 | 72 |
doxygen Doxyfile; \ |
| 72 | 73 |
cd ..; \ |
| 73 | 74 |
else \ |
| 74 | 75 |
echo; \ |
| 75 | 76 |
echo "Doxygen not found."; \ |
| 76 | 77 |
echo; \ |
| 77 | 78 |
exit 1; \ |
| 78 | 79 |
fi |
| 79 | 80 |
|
| 80 | 81 |
clean-local: |
| 81 | 82 |
-rm -rf doc/html |
| 82 | 83 |
-rm -f doc/doxygen.log |
| 83 | 84 |
-rm -f $(DOC_PNG_IMAGES) |
| 84 | 85 |
-rm -rf doc/gen-images |
| 85 | 86 |
|
| 86 | 87 |
update-external-tags: |
| 87 | 88 |
wget -O doc/libstdc++.tag.tmp http://gcc.gnu.org/onlinedocs/libstdc++/latest-doxygen/libstdc++.tag && \ |
| 88 | 89 |
mv doc/libstdc++.tag.tmp doc/libstdc++.tag || \ |
| 89 | 90 |
rm doc/libstdc++.tag.tmp |
| 90 | 91 |
|
| 91 | 92 |
install-html-local: doc/html |
| 92 | 93 |
@$(NORMAL_INSTALL) |
| 93 | 94 |
$(mkinstalldirs) $(DESTDIR)$(htmldir)/docs |
| 94 | 95 |
for p in doc/html/*.{html,css,png,map,gif,tag} ; do \
|
| 95 | 96 |
f="`echo $$p | sed -e 's|^.*/||'`"; \ |
| 96 | 97 |
echo " $(INSTALL_DATA) $$p $(DESTDIR)$(htmldir)/docs/$$f"; \ |
| 97 | 98 |
$(INSTALL_DATA) $$p $(DESTDIR)$(htmldir)/docs/$$f; \ |
| 98 | 99 |
done |
| 99 | 100 |
|
| 100 | 101 |
uninstall-local: |
| 101 | 102 |
@$(NORMAL_UNINSTALL) |
| 102 | 103 |
for p in doc/html/*.{html,css,png,map,gif,tag} ; do \
|
| 103 | 104 |
f="`echo $$p | sed -e 's|^.*/||'`"; \ |
| 104 | 105 |
echo " rm -f $(DESTDIR)$(htmldir)/docs/$$f"; \ |
| 105 | 106 |
rm -f $(DESTDIR)$(htmldir)/docs/$$f; \ |
| 106 | 107 |
done |
| 107 | 108 |
|
| 108 | 109 |
.PHONY: update-external-tags |
| 1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
| 2 | 2 |
* |
| 3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
| 4 | 4 |
* |
| 5 | 5 |
* Copyright (C) 2003-2009 |
| 6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
| 7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
| 8 | 8 |
* |
| 9 | 9 |
* Permission to use, modify and distribute this software is granted |
| 10 | 10 |
* provided that this copyright notice appears in all copies. For |
| 11 | 11 |
* precise terms see the accompanying LICENSE file. |
| 12 | 12 |
* |
| 13 | 13 |
* This software is provided "AS IS" with no warranty of any kind, |
| 14 | 14 |
* express or implied, and with no claim as to its suitability for any |
| 15 | 15 |
* purpose. |
| 16 | 16 |
* |
| 17 | 17 |
*/ |
| 18 | 18 |
|
| 19 | 19 |
namespace lemon {
|
| 20 | 20 |
|
| 21 | 21 |
/** |
| 22 | 22 |
@defgroup datas Data Structures |
| 23 | 23 |
This group contains the several data structures implemented in LEMON. |
| 24 | 24 |
*/ |
| 25 | 25 |
|
| 26 | 26 |
/** |
| 27 | 27 |
@defgroup graphs Graph Structures |
| 28 | 28 |
@ingroup datas |
| 29 | 29 |
\brief Graph structures implemented in LEMON. |
| 30 | 30 |
|
| 31 | 31 |
The implementation of combinatorial algorithms heavily relies on |
| 32 | 32 |
efficient graph implementations. LEMON offers data structures which are |
| 33 | 33 |
planned to be easily used in an experimental phase of implementation studies, |
| 34 | 34 |
and thereafter the program code can be made efficient by small modifications. |
| 35 | 35 |
|
| 36 | 36 |
The most efficient implementation of diverse applications require the |
| 37 | 37 |
usage of different physical graph implementations. These differences |
| 38 | 38 |
appear in the size of graph we require to handle, memory or time usage |
| 39 | 39 |
limitations or in the set of operations through which the graph can be |
| 40 | 40 |
accessed. LEMON provides several physical graph structures to meet |
| 41 | 41 |
the diverging requirements of the possible users. In order to save on |
| 42 | 42 |
running time or on memory usage, some structures may fail to provide |
| 43 | 43 |
some graph features like arc/edge or node deletion. |
| 44 | 44 |
|
| 45 | 45 |
Alteration of standard containers need a very limited number of |
| 46 | 46 |
operations, these together satisfy the everyday requirements. |
| 47 | 47 |
In the case of graph structures, different operations are needed which do |
| 48 | 48 |
not alter the physical graph, but gives another view. If some nodes or |
| 49 | 49 |
arcs have to be hidden or the reverse oriented graph have to be used, then |
| 50 | 50 |
this is the case. It also may happen that in a flow implementation |
| 51 | 51 |
the residual graph can be accessed by another algorithm, or a node-set |
| 52 | 52 |
is to be shrunk for another algorithm. |
| 53 | 53 |
LEMON also provides a variety of graphs for these requirements called |
| 54 | 54 |
\ref graph_adaptors "graph adaptors". Adaptors cannot be used alone but only |
| 55 | 55 |
in conjunction with other graph representations. |
| 56 | 56 |
|
| 57 | 57 |
You are free to use the graph structure that fit your requirements |
| 58 | 58 |
the best, most graph algorithms and auxiliary data structures can be used |
| 59 | 59 |
with any graph structure. |
| 60 | 60 |
|
| 61 | 61 |
<b>See also:</b> \ref graph_concepts "Graph Structure Concepts". |
| 62 | 62 |
*/ |
| 63 | 63 |
|
| 64 | 64 |
/** |
| 65 | 65 |
@defgroup graph_adaptors Adaptor Classes for Graphs |
| 66 | 66 |
@ingroup graphs |
| 67 | 67 |
\brief Adaptor classes for digraphs and graphs |
| 68 | 68 |
|
| 69 | 69 |
This group contains several useful adaptor classes for digraphs and graphs. |
| 70 | 70 |
|
| 71 | 71 |
The main parts of LEMON are the different graph structures, generic |
| 72 | 72 |
graph algorithms, graph concepts, which couple them, and graph |
| 73 | 73 |
adaptors. While the previous notions are more or less clear, the |
| 74 | 74 |
latter one needs further explanation. Graph adaptors are graph classes |
| 75 | 75 |
which serve for considering graph structures in different ways. |
| 76 | 76 |
|
| 77 | 77 |
A short example makes this much clearer. Suppose that we have an |
| 78 | 78 |
instance \c g of a directed graph type, say ListDigraph and an algorithm |
| 79 | 79 |
\code |
| 80 | 80 |
template <typename Digraph> |
| 81 | 81 |
int algorithm(const Digraph&); |
| 82 | 82 |
\endcode |
| 83 | 83 |
is needed to run on the reverse oriented graph. It may be expensive |
| 84 | 84 |
(in time or in memory usage) to copy \c g with the reversed |
| 85 | 85 |
arcs. In this case, an adaptor class is used, which (according |
| 86 | 86 |
to LEMON \ref concepts::Digraph "digraph concepts") works as a digraph. |
| 87 | 87 |
The adaptor uses the original digraph structure and digraph operations when |
| 88 | 88 |
methods of the reversed oriented graph are called. This means that the adaptor |
| 89 | 89 |
have minor memory usage, and do not perform sophisticated algorithmic |
| 90 | 90 |
actions. The purpose of it is to give a tool for the cases when a |
| 91 | 91 |
graph have to be used in a specific alteration. If this alteration is |
| 92 | 92 |
obtained by a usual construction like filtering the node or the arc set or |
| 93 | 93 |
considering a new orientation, then an adaptor is worthwhile to use. |
| 94 | 94 |
To come back to the reverse oriented graph, in this situation |
| 95 | 95 |
\code |
| 96 | 96 |
template<typename Digraph> class ReverseDigraph; |
| 97 | 97 |
\endcode |
| 98 | 98 |
template class can be used. The code looks as follows |
| 99 | 99 |
\code |
| 100 | 100 |
ListDigraph g; |
| 101 | 101 |
ReverseDigraph<ListDigraph> rg(g); |
| 102 | 102 |
int result = algorithm(rg); |
| 103 | 103 |
\endcode |
| 104 | 104 |
During running the algorithm, the original digraph \c g is untouched. |
| 105 | 105 |
This techniques give rise to an elegant code, and based on stable |
| 106 | 106 |
graph adaptors, complex algorithms can be implemented easily. |
| 107 | 107 |
|
| 108 | 108 |
In flow, circulation and matching problems, the residual |
| 109 | 109 |
graph is of particular importance. Combining an adaptor implementing |
| 110 | 110 |
this with shortest path algorithms or minimum mean cycle algorithms, |
| 111 | 111 |
a range of weighted and cardinality optimization algorithms can be |
| 112 | 112 |
obtained. For other examples, the interested user is referred to the |
| 113 | 113 |
detailed documentation of particular adaptors. |
| 114 | 114 |
|
| 115 | 115 |
The behavior of graph adaptors can be very different. Some of them keep |
| 116 | 116 |
capabilities of the original graph while in other cases this would be |
| 117 | 117 |
meaningless. This means that the concepts that they meet depend |
| 118 | 118 |
on the graph adaptor, and the wrapped graph. |
| 119 | 119 |
For example, if an arc of a reversed digraph is deleted, this is carried |
| 120 | 120 |
out by deleting the corresponding arc of the original digraph, thus the |
| 121 | 121 |
adaptor modifies the original digraph. |
| 122 | 122 |
However in case of a residual digraph, this operation has no sense. |
| 123 | 123 |
|
| 124 | 124 |
Let us stand one more example here to simplify your work. |
| 125 | 125 |
ReverseDigraph has constructor |
| 126 | 126 |
\code |
| 127 | 127 |
ReverseDigraph(Digraph& digraph); |
| 128 | 128 |
\endcode |
| 129 | 129 |
This means that in a situation, when a <tt>const %ListDigraph&</tt> |
| 130 | 130 |
reference to a graph is given, then it have to be instantiated with |
| 131 | 131 |
<tt>Digraph=const %ListDigraph</tt>. |
| 132 | 132 |
\code |
| 133 | 133 |
int algorithm1(const ListDigraph& g) {
|
| 134 | 134 |
ReverseDigraph<const ListDigraph> rg(g); |
| 135 | 135 |
return algorithm2(rg); |
| 136 | 136 |
} |
| 137 | 137 |
\endcode |
| 138 | 138 |
*/ |
| 139 | 139 |
|
| 140 | 140 |
/** |
| 141 |
@defgroup semi_adaptors Semi-Adaptor Classes for Graphs |
|
| 142 |
@ingroup graphs |
|
| 143 |
\brief Graph types between real graphs and graph adaptors. |
|
| 144 |
|
|
| 145 |
This group contains some graph types between real graphs and graph adaptors. |
|
| 146 |
These classes wrap graphs to give new functionality as the adaptors do it. |
|
| 147 |
On the other hand they are not light-weight structures as the adaptors. |
|
| 148 |
*/ |
|
| 149 |
|
|
| 150 |
/** |
|
| 151 | 141 |
@defgroup maps Maps |
| 152 | 142 |
@ingroup datas |
| 153 | 143 |
\brief Map structures implemented in LEMON. |
| 154 | 144 |
|
| 155 | 145 |
This group contains the map structures implemented in LEMON. |
| 156 | 146 |
|
| 157 | 147 |
LEMON provides several special purpose maps and map adaptors that e.g. combine |
| 158 | 148 |
new maps from existing ones. |
| 159 | 149 |
|
| 160 | 150 |
<b>See also:</b> \ref map_concepts "Map Concepts". |
| 161 | 151 |
*/ |
| 162 | 152 |
|
| 163 | 153 |
/** |
| 164 | 154 |
@defgroup graph_maps Graph Maps |
| 165 | 155 |
@ingroup maps |
| 166 | 156 |
\brief Special graph-related maps. |
| 167 | 157 |
|
| 168 | 158 |
This group contains maps that are specifically designed to assign |
| 169 | 159 |
values to the nodes and arcs/edges of graphs. |
| 170 | 160 |
|
| 171 | 161 |
If you are looking for the standard graph maps (\c NodeMap, \c ArcMap, |
| 172 | 162 |
\c EdgeMap), see the \ref graph_concepts "Graph Structure Concepts". |
| 173 | 163 |
*/ |
| 174 | 164 |
|
| 175 | 165 |
/** |
| 176 | 166 |
\defgroup map_adaptors Map Adaptors |
| 177 | 167 |
\ingroup maps |
| 178 | 168 |
\brief Tools to create new maps from existing ones |
| 179 | 169 |
|
| 180 | 170 |
This group contains map adaptors that are used to create "implicit" |
| 181 | 171 |
maps from other maps. |
| 182 | 172 |
|
| 183 | 173 |
Most of them are \ref concepts::ReadMap "read-only maps". |
| 184 | 174 |
They can make arithmetic and logical operations between one or two maps |
| 185 | 175 |
(negation, shifting, addition, multiplication, logical 'and', 'or', |
| 186 | 176 |
'not' etc.) or e.g. convert a map to another one of different Value type. |
| 187 | 177 |
|
| 188 | 178 |
The typical usage of this classes is passing implicit maps to |
| 189 | 179 |
algorithms. If a function type algorithm is called then the function |
| 190 | 180 |
type map adaptors can be used comfortable. For example let's see the |
| 191 | 181 |
usage of map adaptors with the \c graphToEps() function. |
| 192 | 182 |
\code |
| 193 | 183 |
Color nodeColor(int deg) {
|
| 194 | 184 |
if (deg >= 2) {
|
| 195 | 185 |
return Color(0.5, 0.0, 0.5); |
| 196 | 186 |
} else if (deg == 1) {
|
| 197 | 187 |
return Color(1.0, 0.5, 1.0); |
| 198 | 188 |
} else {
|
| 199 | 189 |
return Color(0.0, 0.0, 0.0); |
| 200 | 190 |
} |
| 201 | 191 |
} |
| 202 | 192 |
|
| 203 | 193 |
Digraph::NodeMap<int> degree_map(graph); |
| 204 | 194 |
|
| 205 | 195 |
graphToEps(graph, "graph.eps") |
| 206 | 196 |
.coords(coords).scaleToA4().undirected() |
| 207 | 197 |
.nodeColors(composeMap(functorToMap(nodeColor), degree_map)) |
| 208 | 198 |
.run(); |
| 209 | 199 |
\endcode |
| 210 | 200 |
The \c functorToMap() function makes an \c int to \c Color map from the |
| 211 | 201 |
\c nodeColor() function. The \c composeMap() compose the \c degree_map |
| 212 | 202 |
and the previously created map. The composed map is a proper function to |
| 213 | 203 |
get the color of each node. |
| 214 | 204 |
|
| 215 | 205 |
The usage with class type algorithms is little bit harder. In this |
| 216 | 206 |
case the function type map adaptors can not be used, because the |
| 217 | 207 |
function map adaptors give back temporary objects. |
| 218 | 208 |
\code |
| 219 | 209 |
Digraph graph; |
| 220 | 210 |
|
| 221 | 211 |
typedef Digraph::ArcMap<double> DoubleArcMap; |
| 222 | 212 |
DoubleArcMap length(graph); |
| 223 | 213 |
DoubleArcMap speed(graph); |
| 224 | 214 |
|
| 225 | 215 |
typedef DivMap<DoubleArcMap, DoubleArcMap> TimeMap; |
| 226 | 216 |
TimeMap time(length, speed); |
| 227 | 217 |
|
| 228 | 218 |
Dijkstra<Digraph, TimeMap> dijkstra(graph, time); |
| 229 | 219 |
dijkstra.run(source, target); |
| 230 | 220 |
\endcode |
| 231 | 221 |
We have a length map and a maximum speed map on the arcs of a digraph. |
| 232 | 222 |
The minimum time to pass the arc can be calculated as the division of |
| 233 | 223 |
the two maps which can be done implicitly with the \c DivMap template |
| 234 | 224 |
class. We use the implicit minimum time map as the length map of the |
| 235 | 225 |
\c Dijkstra algorithm. |
| 236 | 226 |
*/ |
| 237 | 227 |
|
| 238 | 228 |
/** |
| 239 | 229 |
@defgroup paths Path Structures |
| 240 | 230 |
@ingroup datas |
| 241 | 231 |
\brief %Path structures implemented in LEMON. |
| 242 | 232 |
|
| 243 | 233 |
This group contains the path structures implemented in LEMON. |
| 244 | 234 |
|
| 245 | 235 |
LEMON provides flexible data structures to work with paths. |
| 246 | 236 |
All of them have similar interfaces and they can be copied easily with |
| 247 | 237 |
assignment operators and copy constructors. This makes it easy and |
| 248 | 238 |
efficient to have e.g. the Dijkstra algorithm to store its result in |
| 249 | 239 |
any kind of path structure. |
| 250 | 240 |
|
| 251 | 241 |
\sa lemon::concepts::Path |
| 252 | 242 |
*/ |
| 253 | 243 |
|
| 254 | 244 |
/** |
| 255 | 245 |
@defgroup auxdat Auxiliary Data Structures |
| 256 | 246 |
@ingroup datas |
| 257 | 247 |
\brief Auxiliary data structures implemented in LEMON. |
| 258 | 248 |
|
| 259 | 249 |
This group contains some data structures implemented in LEMON in |
| 260 | 250 |
order to make it easier to implement combinatorial algorithms. |
| 261 | 251 |
*/ |
| 262 | 252 |
|
| 263 | 253 |
/** |
| 264 | 254 |
@defgroup algs Algorithms |
| 265 | 255 |
\brief This group contains the several algorithms |
| 266 | 256 |
implemented in LEMON. |
| 267 | 257 |
|
| 268 | 258 |
This group contains the several algorithms |
| 269 | 259 |
implemented in LEMON. |
| 270 | 260 |
*/ |
| 271 | 261 |
|
| 272 | 262 |
/** |
| 273 | 263 |
@defgroup search Graph Search |
| 274 | 264 |
@ingroup algs |
| 275 | 265 |
\brief Common graph search algorithms. |
| 276 | 266 |
|
| 277 | 267 |
This group contains the common graph search algorithms, namely |
| 278 | 268 |
\e breadth-first \e search (BFS) and \e depth-first \e search (DFS). |
| 279 | 269 |
*/ |
| 280 | 270 |
|
| 281 | 271 |
/** |
| 282 | 272 |
@defgroup shortest_path Shortest Path Algorithms |
| 283 | 273 |
@ingroup algs |
| 284 | 274 |
\brief Algorithms for finding shortest paths. |
| 285 | 275 |
|
| 286 | 276 |
This group contains the algorithms for finding shortest paths in digraphs. |
| 287 | 277 |
|
| 288 | 278 |
- \ref Dijkstra Dijkstra's algorithm for finding shortest paths from a |
| 289 | 279 |
source node when all arc lengths are non-negative. |
| 290 | 280 |
- \ref Suurballe A successive shortest path algorithm for finding |
| 291 | 281 |
arc-disjoint paths between two nodes having minimum total length. |
| 292 | 282 |
*/ |
| 293 | 283 |
|
| 294 | 284 |
/** |
| 295 | 285 |
@defgroup max_flow Maximum Flow Algorithms |
| 296 | 286 |
@ingroup algs |
| 297 | 287 |
\brief Algorithms for finding maximum flows. |
| 298 | 288 |
|
| 299 | 289 |
This group contains the algorithms for finding maximum flows and |
| 300 | 290 |
feasible circulations. |
| 301 | 291 |
|
| 302 | 292 |
The \e maximum \e flow \e problem is to find a flow of maximum value between |
| 303 | 293 |
a single source and a single target. Formally, there is a \f$G=(V,A)\f$ |
| 304 | 294 |
digraph, a \f$cap: A\rightarrow\mathbf{R}^+_0\f$ capacity function and
|
| 305 | 295 |
\f$s, t \in V\f$ source and target nodes. |
| 306 | 296 |
A maximum flow is an \f$f: A\rightarrow\mathbf{R}^+_0\f$ solution of the
|
| 307 | 297 |
following optimization problem. |
| 308 | 298 |
|
| 309 | 299 |
\f[ \max\sum_{sv\in A} f(sv) - \sum_{vs\in A} f(vs) \f]
|
| 310 | 300 |
\f[ \sum_{uv\in A} f(uv) = \sum_{vu\in A} f(vu)
|
| 311 | 301 |
\quad \forall u\in V\setminus\{s,t\} \f]
|
| 312 | 302 |
\f[ 0 \leq f(uv) \leq cap(uv) \quad \forall uv\in A \f] |
| 313 | 303 |
|
| 314 | 304 |
\ref Preflow implements the preflow push-relabel algorithm of Goldberg and |
| 315 | 305 |
Tarjan for solving this problem. It also provides functions to query the |
| 316 | 306 |
minimum cut, which is the dual problem of maximum flow. |
| 317 | 307 |
|
| 308 |
|
|
| 318 | 309 |
\ref Circulation is a preflow push-relabel algorithm implemented directly |
| 319 | 310 |
for finding feasible circulations, which is a somewhat different problem, |
| 320 | 311 |
but it is strongly related to maximum flow. |
| 321 | 312 |
For more information, see \ref Circulation. |
| 322 | 313 |
*/ |
| 323 | 314 |
|
| 324 | 315 |
/** |
| 325 |
@defgroup |
|
| 316 |
@defgroup min_cost_flow_algs Minimum Cost Flow Algorithms |
|
| 326 | 317 |
@ingroup algs |
| 327 | 318 |
|
| 328 | 319 |
\brief Algorithms for finding minimum cost flows and circulations. |
| 329 | 320 |
|
| 330 | 321 |
This group contains the algorithms for finding minimum cost flows and |
| 331 |
circulations. |
|
| 332 |
|
|
| 333 |
The \e minimum \e cost \e flow \e problem is to find a feasible flow of |
|
| 334 |
minimum total cost from a set of supply nodes to a set of demand nodes |
|
| 335 |
in a network with capacity constraints (lower and upper bounds) |
|
| 336 |
and arc costs. |
|
| 337 |
Formally, let \f$G=(V,A)\f$ be a digraph, \f$lower: A\rightarrow\mathbf{Z}\f$,
|
|
| 338 |
\f$upper: A\rightarrow\mathbf{Z}\cup\{+\infty\}\f$ denote the lower and
|
|
| 339 |
upper bounds for the flow values on the arcs, for which |
|
| 340 |
\f$lower(uv) \leq upper(uv)\f$ must hold for all \f$uv\in A\f$, |
|
| 341 |
\f$cost: A\rightarrow\mathbf{Z}\f$ denotes the cost per unit flow
|
|
| 342 |
on the arcs and \f$sup: V\rightarrow\mathbf{Z}\f$ denotes the
|
|
| 343 |
signed supply values of the nodes. |
|
| 344 |
If \f$sup(u)>0\f$, then \f$u\f$ is a supply node with \f$sup(u)\f$ |
|
| 345 |
supply, if \f$sup(u)<0\f$, then \f$u\f$ is a demand node with |
|
| 346 |
\f$-sup(u)\f$ demand. |
|
| 347 |
A minimum cost flow is an \f$f: A\rightarrow\mathbf{Z}\f$ solution
|
|
| 348 |
of the following optimization problem. |
|
| 349 |
|
|
| 350 |
\f[ \min\sum_{uv\in A} f(uv) \cdot cost(uv) \f]
|
|
| 351 |
\f[ \sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \geq
|
|
| 352 |
sup(u) \quad \forall u\in V \f] |
|
| 353 |
\f[ lower(uv) \leq f(uv) \leq upper(uv) \quad \forall uv\in A \f] |
|
| 354 |
|
|
| 355 |
The sum of the supply values, i.e. \f$\sum_{u\in V} sup(u)\f$ must be
|
|
| 356 |
zero or negative in order to have a feasible solution (since the sum |
|
| 357 |
of the expressions on the left-hand side of the inequalities is zero). |
|
| 358 |
It means that the total demand must be greater or equal to the total |
|
| 359 |
supply and all the supplies have to be carried out from the supply nodes, |
|
| 360 |
but there could be demands that are not satisfied. |
|
| 361 |
If \f$\sum_{u\in V} sup(u)\f$ is zero, then all the supply/demand
|
|
| 362 |
constraints have to be satisfied with equality, i.e. all demands |
|
| 363 |
have to be satisfied and all supplies have to be used. |
|
| 364 |
|
|
| 365 |
If you need the opposite inequalities in the supply/demand constraints |
|
| 366 |
(i.e. the total demand is less than the total supply and all the demands |
|
| 367 |
have to be satisfied while there could be supplies that are not used), |
|
| 368 |
then you could easily transform the problem to the above form by reversing |
|
| 369 |
the direction of the arcs and taking the negative of the supply values |
|
| 370 |
(e.g. using \ref ReverseDigraph and \ref NegMap adaptors). |
|
| 371 |
However \ref NetworkSimplex algorithm also supports this form directly |
|
| 372 |
for the sake of convenience. |
|
| 373 |
|
|
| 374 |
A feasible solution for this problem can be found using \ref Circulation. |
|
| 375 |
|
|
| 376 |
Note that the above formulation is actually more general than the usual |
|
| 377 |
definition of the minimum cost flow problem, in which strict equalities |
|
| 378 |
are required in the supply/demand contraints, i.e. |
|
| 379 |
|
|
| 380 |
\f[ \sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) =
|
|
| 381 |
sup(u) \quad \forall u\in V. \f] |
|
| 382 |
|
|
| 383 |
However if the sum of the supply values is zero, then these two problems |
|
| 384 |
are equivalent. So if you need the equality form, you have to ensure this |
|
| 385 |
additional contraint for the algorithms. |
|
| 386 |
|
|
| 387 |
The dual solution of the minimum cost flow problem is represented by node |
|
| 388 |
potentials \f$\pi: V\rightarrow\mathbf{Z}\f$.
|
|
| 389 |
An \f$f: A\rightarrow\mathbf{Z}\f$ feasible solution of the problem
|
|
| 390 |
is optimal if and only if for some \f$\pi: V\rightarrow\mathbf{Z}\f$
|
|
| 391 |
node potentials the following \e complementary \e slackness optimality |
|
| 392 |
conditions hold. |
|
| 393 |
|
|
| 394 |
- For all \f$uv\in A\f$ arcs: |
|
| 395 |
- if \f$cost^\pi(uv)>0\f$, then \f$f(uv)=lower(uv)\f$; |
|
| 396 |
- if \f$lower(uv)<f(uv)<upper(uv)\f$, then \f$cost^\pi(uv)=0\f$; |
|
| 397 |
- if \f$cost^\pi(uv)<0\f$, then \f$f(uv)=upper(uv)\f$. |
|
| 398 |
- For all \f$u\in V\f$ nodes: |
|
| 399 |
- if \f$\sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu) \neq sup(u)\f$,
|
|
| 400 |
then \f$\pi(u)=0\f$. |
|
| 401 |
|
|
| 402 |
Here \f$cost^\pi(uv)\f$ denotes the \e reduced \e cost of the arc |
|
| 403 |
\f$uv\in A\f$ with respect to the potential function \f$\pi\f$, i.e. |
|
| 404 |
\f[ cost^\pi(uv) = cost(uv) + \pi(u) - \pi(v).\f] |
|
| 322 |
circulations. For more information about this problem and its dual |
|
| 323 |
solution see \ref min_cost_flow "Minimum Cost Flow Problem". |
|
| 405 | 324 |
|
| 406 | 325 |
\ref NetworkSimplex is an efficient implementation of the primal Network |
| 407 | 326 |
Simplex algorithm for finding minimum cost flows. It also provides dual |
| 408 | 327 |
solution (node potentials), if an optimal flow is found. |
| 409 | 328 |
*/ |
| 410 | 329 |
|
| 411 | 330 |
/** |
| 412 | 331 |
@defgroup min_cut Minimum Cut Algorithms |
| 413 | 332 |
@ingroup algs |
| 414 | 333 |
|
| 415 | 334 |
\brief Algorithms for finding minimum cut in graphs. |
| 416 | 335 |
|
| 417 | 336 |
This group contains the algorithms for finding minimum cut in graphs. |
| 418 | 337 |
|
| 419 | 338 |
The \e minimum \e cut \e problem is to find a non-empty and non-complete |
| 420 | 339 |
\f$X\f$ subset of the nodes with minimum overall capacity on |
| 421 | 340 |
outgoing arcs. Formally, there is a \f$G=(V,A)\f$ digraph, a |
| 422 | 341 |
\f$cap: A\rightarrow\mathbf{R}^+_0\f$ capacity function. The minimum
|
| 423 | 342 |
cut is the \f$X\f$ solution of the next optimization problem: |
| 424 | 343 |
|
| 425 | 344 |
\f[ \min_{X \subset V, X\not\in \{\emptyset, V\}}
|
| 426 | 345 |
\sum_{uv\in A, u\in X, v\not\in X}cap(uv) \f]
|
| 427 | 346 |
|
| 428 | 347 |
LEMON contains several algorithms related to minimum cut problems: |
| 429 | 348 |
|
| 430 | 349 |
- \ref HaoOrlin "Hao-Orlin algorithm" for calculating minimum cut |
| 431 | 350 |
in directed graphs. |
| 432 | 351 |
- \ref GomoryHu "Gomory-Hu tree computation" for calculating |
| 433 | 352 |
all-pairs minimum cut in undirected graphs. |
| 434 | 353 |
|
| 435 | 354 |
If you want to find minimum cut just between two distinict nodes, |
| 436 | 355 |
see the \ref max_flow "maximum flow problem". |
| 437 | 356 |
*/ |
| 438 | 357 |
|
| 439 | 358 |
/** |
| 440 | 359 |
@defgroup graph_properties Connectivity and Other Graph Properties |
| 441 | 360 |
@ingroup algs |
| 442 | 361 |
\brief Algorithms for discovering the graph properties |
| 443 | 362 |
|
| 444 | 363 |
This group contains the algorithms for discovering the graph properties |
| 445 | 364 |
like connectivity, bipartiteness, euler property, simplicity etc. |
| 446 | 365 |
|
| 447 | 366 |
\image html edge_biconnected_components.png |
| 448 | 367 |
\image latex edge_biconnected_components.eps "bi-edge-connected components" width=\textwidth |
| 449 | 368 |
*/ |
| 450 | 369 |
|
| 451 | 370 |
/** |
| 452 | 371 |
@defgroup matching Matching Algorithms |
| 453 | 372 |
@ingroup algs |
| 454 | 373 |
\brief Algorithms for finding matchings in graphs and bipartite graphs. |
| 455 | 374 |
|
| 456 | 375 |
This group contains the algorithms for calculating matchings in graphs. |
| 457 | 376 |
The general matching problem is finding a subset of the edges for which |
| 458 | 377 |
each node has at most one incident edge. |
| 459 | 378 |
|
| 460 | 379 |
There are several different algorithms for calculate matchings in |
| 461 | 380 |
graphs. The goal of the matching optimization |
| 462 | 381 |
can be finding maximum cardinality, maximum weight or minimum cost |
| 463 | 382 |
matching. The search can be constrained to find perfect or |
| 464 | 383 |
maximum cardinality matching. |
| 465 | 384 |
|
| 466 | 385 |
The matching algorithms implemented in LEMON: |
| 467 | 386 |
- \ref MaxMatching Edmond's blossom shrinking algorithm for calculating |
| 468 | 387 |
maximum cardinality matching in general graphs. |
| 469 | 388 |
- \ref MaxWeightedMatching Edmond's blossom shrinking algorithm for calculating |
| 470 | 389 |
maximum weighted matching in general graphs. |
| 471 | 390 |
- \ref MaxWeightedPerfectMatching |
| 472 | 391 |
Edmond's blossom shrinking algorithm for calculating maximum weighted |
| 473 | 392 |
perfect matching in general graphs. |
| 474 | 393 |
|
| 475 | 394 |
\image html bipartite_matching.png |
| 476 | 395 |
\image latex bipartite_matching.eps "Bipartite Matching" width=\textwidth |
| 477 | 396 |
*/ |
| 478 | 397 |
|
| 479 | 398 |
/** |
| 480 | 399 |
@defgroup spantree Minimum Spanning Tree Algorithms |
| 481 | 400 |
@ingroup algs |
| 482 |
\brief Algorithms for finding |
|
| 401 |
\brief Algorithms for finding minimum cost spanning trees and arborescences. |
|
| 483 | 402 |
|
| 484 |
This group contains the algorithms for finding a minimum cost spanning |
|
| 485 |
tree in a graph. |
|
| 403 |
This group contains the algorithms for finding minimum cost spanning |
|
| 404 |
trees and arborescences. |
|
| 486 | 405 |
*/ |
| 487 | 406 |
|
| 488 | 407 |
/** |
| 489 | 408 |
@defgroup auxalg Auxiliary Algorithms |
| 490 | 409 |
@ingroup algs |
| 491 | 410 |
\brief Auxiliary algorithms implemented in LEMON. |
| 492 | 411 |
|
| 493 | 412 |
This group contains some algorithms implemented in LEMON |
| 494 | 413 |
in order to make it easier to implement complex algorithms. |
| 495 | 414 |
*/ |
| 496 | 415 |
|
| 497 | 416 |
/** |
| 498 | 417 |
@defgroup gen_opt_group General Optimization Tools |
| 499 | 418 |
\brief This group contains some general optimization frameworks |
| 500 | 419 |
implemented in LEMON. |
| 501 | 420 |
|
| 502 | 421 |
This group contains some general optimization frameworks |
| 503 | 422 |
implemented in LEMON. |
| 504 | 423 |
*/ |
| 505 | 424 |
|
| 506 | 425 |
/** |
| 507 | 426 |
@defgroup lp_group Lp and Mip Solvers |
| 508 | 427 |
@ingroup gen_opt_group |
| 509 | 428 |
\brief Lp and Mip solver interfaces for LEMON. |
| 510 | 429 |
|
| 511 | 430 |
This group contains Lp and Mip solver interfaces for LEMON. The |
| 512 | 431 |
various LP solvers could be used in the same manner with this |
| 513 | 432 |
interface. |
| 514 | 433 |
*/ |
| 515 | 434 |
|
| 516 | 435 |
/** |
| 517 | 436 |
@defgroup utils Tools and Utilities |
| 518 | 437 |
\brief Tools and utilities for programming in LEMON |
| 519 | 438 |
|
| 520 | 439 |
Tools and utilities for programming in LEMON. |
| 521 | 440 |
*/ |
| 522 | 441 |
|
| 523 | 442 |
/** |
| 524 | 443 |
@defgroup gutils Basic Graph Utilities |
| 525 | 444 |
@ingroup utils |
| 526 | 445 |
\brief Simple basic graph utilities. |
| 527 | 446 |
|
| 528 | 447 |
This group contains some simple basic graph utilities. |
| 529 | 448 |
*/ |
| 530 | 449 |
|
| 531 | 450 |
/** |
| 532 | 451 |
@defgroup misc Miscellaneous Tools |
| 533 | 452 |
@ingroup utils |
| 534 | 453 |
\brief Tools for development, debugging and testing. |
| 535 | 454 |
|
| 536 | 455 |
This group contains several useful tools for development, |
| 537 | 456 |
debugging and testing. |
| 538 | 457 |
*/ |
| 539 | 458 |
|
| 540 | 459 |
/** |
| 541 | 460 |
@defgroup timecount Time Measuring and Counting |
| 542 | 461 |
@ingroup misc |
| 543 | 462 |
\brief Simple tools for measuring the performance of algorithms. |
| 544 | 463 |
|
| 545 | 464 |
This group contains simple tools for measuring the performance |
| 546 | 465 |
of algorithms. |
| 547 | 466 |
*/ |
| 548 | 467 |
|
| 549 | 468 |
/** |
| 550 | 469 |
@defgroup exceptions Exceptions |
| 551 | 470 |
@ingroup utils |
| 552 | 471 |
\brief Exceptions defined in LEMON. |
| 553 | 472 |
|
| 554 | 473 |
This group contains the exceptions defined in LEMON. |
| 555 | 474 |
*/ |
| 556 | 475 |
|
| 557 | 476 |
/** |
| 558 | 477 |
@defgroup io_group Input-Output |
| 559 | 478 |
\brief Graph Input-Output methods |
| 560 | 479 |
|
| 561 | 480 |
This group contains the tools for importing and exporting graphs |
| 562 | 481 |
and graph related data. Now it supports the \ref lgf-format |
| 563 | 482 |
"LEMON Graph Format", the \c DIMACS format and the encapsulated |
| 564 | 483 |
postscript (EPS) format. |
| 565 | 484 |
*/ |
| 566 | 485 |
|
| 567 | 486 |
/** |
| 568 | 487 |
@defgroup lemon_io LEMON Graph Format |
| 569 | 488 |
@ingroup io_group |
| 570 | 489 |
\brief Reading and writing LEMON Graph Format. |
| 571 | 490 |
|
| 572 | 491 |
This group contains methods for reading and writing |
| 573 | 492 |
\ref lgf-format "LEMON Graph Format". |
| 574 | 493 |
*/ |
| 575 | 494 |
|
| 576 | 495 |
/** |
| 577 | 496 |
@defgroup eps_io Postscript Exporting |
| 578 | 497 |
@ingroup io_group |
| 579 | 498 |
\brief General \c EPS drawer and graph exporter |
| 580 | 499 |
|
| 581 | 500 |
This group contains general \c EPS drawing methods and special |
| 582 | 501 |
graph exporting tools. |
| 583 | 502 |
*/ |
| 584 | 503 |
|
| 585 | 504 |
/** |
| 586 | 505 |
@defgroup dimacs_group DIMACS format |
| 587 | 506 |
@ingroup io_group |
| 588 | 507 |
\brief Read and write files in DIMACS format |
| 589 | 508 |
|
| 590 | 509 |
Tools to read a digraph from or write it to a file in DIMACS format data. |
| 591 | 510 |
*/ |
| 592 | 511 |
|
| 593 | 512 |
/** |
| 594 | 513 |
@defgroup nauty_group NAUTY Format |
| 595 | 514 |
@ingroup io_group |
| 596 | 515 |
\brief Read \e Nauty format |
| 597 | 516 |
|
| 598 | 517 |
Tool to read graphs from \e Nauty format data. |
| 599 | 518 |
*/ |
| 600 | 519 |
|
| 601 | 520 |
/** |
| 602 | 521 |
@defgroup concept Concepts |
| 603 | 522 |
\brief Skeleton classes and concept checking classes |
| 604 | 523 |
|
| 605 | 524 |
This group contains the data/algorithm skeletons and concept checking |
| 606 | 525 |
classes implemented in LEMON. |
| 607 | 526 |
|
| 608 | 527 |
The purpose of the classes in this group is fourfold. |
| 609 | 528 |
|
| 610 | 529 |
- These classes contain the documentations of the %concepts. In order |
| 611 | 530 |
to avoid document multiplications, an implementation of a concept |
| 612 | 531 |
simply refers to the corresponding concept class. |
| 613 | 532 |
|
| 614 | 533 |
- These classes declare every functions, <tt>typedef</tt>s etc. an |
| 615 | 534 |
implementation of the %concepts should provide, however completely |
| 616 | 535 |
without implementations and real data structures behind the |
| 617 | 536 |
interface. On the other hand they should provide nothing else. All |
| 618 | 537 |
the algorithms working on a data structure meeting a certain concept |
| 619 | 538 |
should compile with these classes. (Though it will not run properly, |
| 620 | 539 |
of course.) In this way it is easily to check if an algorithm |
| 621 | 540 |
doesn't use any extra feature of a certain implementation. |
| 622 | 541 |
|
| 623 | 542 |
- The concept descriptor classes also provide a <em>checker class</em> |
| 624 | 543 |
that makes it possible to check whether a certain implementation of a |
| 625 | 544 |
concept indeed provides all the required features. |
| 626 | 545 |
|
| 627 | 546 |
- Finally, They can serve as a skeleton of a new implementation of a concept. |
| 628 | 547 |
*/ |
| 629 | 548 |
|
| 630 | 549 |
/** |
| 631 | 550 |
@defgroup graph_concepts Graph Structure Concepts |
| 632 | 551 |
@ingroup concept |
| 633 | 552 |
\brief Skeleton and concept checking classes for graph structures |
| 634 | 553 |
|
| 635 | 554 |
This group contains the skeletons and concept checking classes of LEMON's |
| 636 | 555 |
graph structures and helper classes used to implement these. |
| 637 | 556 |
*/ |
| 638 | 557 |
|
| 639 | 558 |
/** |
| 640 | 559 |
@defgroup map_concepts Map Concepts |
| 641 | 560 |
@ingroup concept |
| 642 | 561 |
\brief Skeleton and concept checking classes for maps |
| 643 | 562 |
|
| 644 | 563 |
This group contains the skeletons and concept checking classes of maps. |
| 645 | 564 |
*/ |
| 646 | 565 |
|
| 647 | 566 |
/** |
| 648 | 567 |
\anchor demoprograms |
| 649 | 568 |
|
| 650 | 569 |
@defgroup demos Demo Programs |
| 651 | 570 |
|
| 652 | 571 |
Some demo programs are listed here. Their full source codes can be found in |
| 653 | 572 |
the \c demo subdirectory of the source tree. |
| 654 | 573 |
|
| 655 | 574 |
In order to compile them, use the <tt>make demo</tt> or the |
| 656 | 575 |
<tt>make check</tt> commands. |
| 657 | 576 |
*/ |
| 658 | 577 |
|
| 659 | 578 |
/** |
| 660 | 579 |
@defgroup tools Standalone Utility Applications |
| 661 | 580 |
|
| 662 | 581 |
Some utility applications are listed here. |
| 663 | 582 |
|
| 664 | 583 |
The standard compilation procedure (<tt>./configure;make</tt>) will compile |
| 665 | 584 |
them, as well. |
| 666 | 585 |
*/ |
| 667 | 586 |
|
| 668 | 587 |
} |
| 1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
| 2 | 2 |
* |
| 3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
| 4 | 4 |
* |
| 5 | 5 |
* Copyright (C) 2003-2009 |
| 6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
| 7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
| 8 | 8 |
* |
| 9 | 9 |
* Permission to use, modify and distribute this software is granted |
| 10 | 10 |
* provided that this copyright notice appears in all copies. For |
| 11 | 11 |
* precise terms see the accompanying LICENSE file. |
| 12 | 12 |
* |
| 13 | 13 |
* This software is provided "AS IS" with no warranty of any kind, |
| 14 | 14 |
* express or implied, and with no claim as to its suitability for any |
| 15 | 15 |
* purpose. |
| 16 | 16 |
* |
| 17 | 17 |
*/ |
| 18 | 18 |
|
| 19 | 19 |
/** |
| 20 | 20 |
\mainpage LEMON Documentation |
| 21 | 21 |
|
| 22 | 22 |
\section intro Introduction |
| 23 | 23 |
|
| 24 | 24 |
\subsection whatis What is LEMON |
| 25 | 25 |
|
| 26 |
LEMON stands for |
|
| 27 |
<b>L</b>ibrary of <b>E</b>fficient <b>M</b>odels |
|
| 26 |
LEMON stands for <b>L</b>ibrary for <b>E</b>fficient <b>M</b>odeling |
|
| 28 | 27 |
and <b>O</b>ptimization in <b>N</b>etworks. |
| 29 | 28 |
It is a C++ template |
| 30 | 29 |
library aimed at combinatorial optimization tasks which |
| 31 | 30 |
often involve in working |
| 32 | 31 |
with graphs. |
| 33 | 32 |
|
| 34 | 33 |
<b> |
| 35 | 34 |
LEMON is an <a class="el" href="http://opensource.org/">open source</a> |
| 36 | 35 |
project. |
| 37 | 36 |
You are free to use it in your commercial or |
| 38 | 37 |
non-commercial applications under very permissive |
| 39 | 38 |
\ref license "license terms". |
| 40 | 39 |
</b> |
| 41 | 40 |
|
| 42 | 41 |
\subsection howtoread How to read the documentation |
| 43 | 42 |
|
| 44 |
If you want to get a quick start and see the most important features then |
|
| 45 |
take a look at our \ref quicktour |
|
| 46 |
"Quick Tour to LEMON" which will guide you along. |
|
| 47 |
|
|
| 48 |
If you |
|
| 43 |
If you would like to get to know the library, see |
|
| 49 | 44 |
<a class="el" href="http://lemon.cs.elte.hu/pub/tutorial/">LEMON Tutorial</a>. |
| 50 | 45 |
|
| 51 |
If you know what you are looking for then try to find it under the |
|
| 46 |
If you know what you are looking for, then try to find it under the |
|
| 52 | 47 |
<a class="el" href="modules.html">Modules</a> section. |
| 53 | 48 |
|
| 54 | 49 |
If you are a user of the old (0.x) series of LEMON, please check out the |
| 55 | 50 |
\ref migration "Migration Guide" for the backward incompatibilities. |
| 56 | 51 |
*/ |
| 1 | 1 |
EXTRA_DIST += \ |
| 2 | 2 |
lemon/lemon.pc.in \ |
| 3 | 3 |
lemon/CMakeLists.txt |
| 4 | 4 |
|
| 5 | 5 |
pkgconfig_DATA += lemon/lemon.pc |
| 6 | 6 |
|
| 7 | 7 |
lib_LTLIBRARIES += lemon/libemon.la |
| 8 | 8 |
|
| 9 | 9 |
lemon_libemon_la_SOURCES = \ |
| 10 | 10 |
lemon/arg_parser.cc \ |
| 11 | 11 |
lemon/base.cc \ |
| 12 | 12 |
lemon/color.cc \ |
| 13 | 13 |
lemon/lp_base.cc \ |
| 14 | 14 |
lemon/lp_skeleton.cc \ |
| 15 | 15 |
lemon/random.cc \ |
| 16 | 16 |
lemon/bits/windows.cc |
| 17 | 17 |
|
| 18 | 18 |
nodist_lemon_HEADERS = lemon/config.h |
| 19 | 19 |
|
| 20 | 20 |
lemon_libemon_la_CXXFLAGS = \ |
| 21 | 21 |
$(AM_CXXFLAGS) \ |
| 22 | 22 |
$(GLPK_CFLAGS) \ |
| 23 | 23 |
$(CPLEX_CFLAGS) \ |
| 24 | 24 |
$(SOPLEX_CXXFLAGS) \ |
| 25 | 25 |
$(CLP_CXXFLAGS) \ |
| 26 | 26 |
$(CBC_CXXFLAGS) |
| 27 | 27 |
|
| 28 | 28 |
lemon_libemon_la_LDFLAGS = \ |
| 29 | 29 |
$(GLPK_LIBS) \ |
| 30 | 30 |
$(CPLEX_LIBS) \ |
| 31 | 31 |
$(SOPLEX_LIBS) \ |
| 32 | 32 |
$(CLP_LIBS) \ |
| 33 | 33 |
$(CBC_LIBS) |
| 34 | 34 |
|
| 35 | 35 |
if HAVE_GLPK |
| 36 | 36 |
lemon_libemon_la_SOURCES += lemon/glpk.cc |
| 37 | 37 |
endif |
| 38 | 38 |
|
| 39 | 39 |
if HAVE_CPLEX |
| 40 | 40 |
lemon_libemon_la_SOURCES += lemon/cplex.cc |
| 41 | 41 |
endif |
| 42 | 42 |
|
| 43 | 43 |
if HAVE_SOPLEX |
| 44 | 44 |
lemon_libemon_la_SOURCES += lemon/soplex.cc |
| 45 | 45 |
endif |
| 46 | 46 |
|
| 47 | 47 |
if HAVE_CLP |
| 48 | 48 |
lemon_libemon_la_SOURCES += lemon/clp.cc |
| 49 | 49 |
endif |
| 50 | 50 |
|
| 51 | 51 |
if HAVE_CBC |
| 52 | 52 |
lemon_libemon_la_SOURCES += lemon/cbc.cc |
| 53 | 53 |
endif |
| 54 | 54 |
|
| 55 | 55 |
lemon_HEADERS += \ |
| 56 | 56 |
lemon/adaptors.h \ |
| 57 | 57 |
lemon/arg_parser.h \ |
| 58 | 58 |
lemon/assert.h \ |
| 59 | 59 |
lemon/bfs.h \ |
| 60 | 60 |
lemon/bin_heap.h \ |
| 61 | 61 |
lemon/cbc.h \ |
| 62 | 62 |
lemon/circulation.h \ |
| 63 | 63 |
lemon/clp.h \ |
| 64 | 64 |
lemon/color.h \ |
| 65 | 65 |
lemon/concept_check.h \ |
| 66 | 66 |
lemon/connectivity.h \ |
| 67 | 67 |
lemon/counter.h \ |
| 68 | 68 |
lemon/core.h \ |
| 69 | 69 |
lemon/cplex.h \ |
| 70 | 70 |
lemon/dfs.h \ |
| 71 | 71 |
lemon/dijkstra.h \ |
| 72 | 72 |
lemon/dim2.h \ |
| 73 | 73 |
lemon/dimacs.h \ |
| 74 | 74 |
lemon/edge_set.h \ |
| 75 | 75 |
lemon/elevator.h \ |
| 76 | 76 |
lemon/error.h \ |
| 77 | 77 |
lemon/euler.h \ |
| 78 | 78 |
lemon/full_graph.h \ |
| 79 | 79 |
lemon/glpk.h \ |
| 80 | 80 |
lemon/gomory_hu.h \ |
| 81 | 81 |
lemon/graph_to_eps.h \ |
| 82 | 82 |
lemon/grid_graph.h \ |
| 83 | 83 |
lemon/hypercube_graph.h \ |
| 84 | 84 |
lemon/kruskal.h \ |
| 85 | 85 |
lemon/hao_orlin.h \ |
| 86 | 86 |
lemon/lgf_reader.h \ |
| 87 | 87 |
lemon/lgf_writer.h \ |
| 88 | 88 |
lemon/list_graph.h \ |
| 89 | 89 |
lemon/lp.h \ |
| 90 | 90 |
lemon/lp_base.h \ |
| 91 | 91 |
lemon/lp_skeleton.h \ |
| 92 | 92 |
lemon/list_graph.h \ |
| 93 | 93 |
lemon/maps.h \ |
| 94 | 94 |
lemon/matching.h \ |
| 95 | 95 |
lemon/math.h \ |
| 96 | 96 |
lemon/min_cost_arborescence.h \ |
| 97 | 97 |
lemon/nauty_reader.h \ |
| 98 | 98 |
lemon/network_simplex.h \ |
| 99 | 99 |
lemon/path.h \ |
| 100 | 100 |
lemon/preflow.h \ |
| 101 | 101 |
lemon/radix_sort.h \ |
| 102 | 102 |
lemon/random.h \ |
| 103 | 103 |
lemon/smart_graph.h \ |
| 104 | 104 |
lemon/soplex.h \ |
| 105 | 105 |
lemon/suurballe.h \ |
| 106 | 106 |
lemon/time_measure.h \ |
| 107 | 107 |
lemon/tolerance.h \ |
| 108 | 108 |
lemon/unionfind.h \ |
| 109 | 109 |
lemon/bits/windows.h |
| 110 | 110 |
|
| 111 | 111 |
bits_HEADERS += \ |
| 112 | 112 |
lemon/bits/alteration_notifier.h \ |
| 113 | 113 |
lemon/bits/array_map.h \ |
| 114 |
lemon/bits/base_extender.h \ |
|
| 115 | 114 |
lemon/bits/bezier.h \ |
| 116 | 115 |
lemon/bits/default_map.h \ |
| 117 | 116 |
lemon/bits/edge_set_extender.h \ |
| 118 | 117 |
lemon/bits/enable_if.h \ |
| 119 | 118 |
lemon/bits/graph_adaptor_extender.h \ |
| 120 | 119 |
lemon/bits/graph_extender.h \ |
| 121 | 120 |
lemon/bits/map_extender.h \ |
| 122 | 121 |
lemon/bits/path_dump.h \ |
| 123 | 122 |
lemon/bits/solver_bits.h \ |
| 124 | 123 |
lemon/bits/traits.h \ |
| 125 | 124 |
lemon/bits/variant.h \ |
| 126 | 125 |
lemon/bits/vector_map.h |
| 127 | 126 |
|
| 128 | 127 |
concept_HEADERS += \ |
| 129 | 128 |
lemon/concepts/digraph.h \ |
| 130 | 129 |
lemon/concepts/graph.h \ |
| 131 | 130 |
lemon/concepts/graph_components.h \ |
| 132 | 131 |
lemon/concepts/heap.h \ |
| 133 | 132 |
lemon/concepts/maps.h \ |
| 134 | 133 |
lemon/concepts/path.h |
| 1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
| 2 | 2 |
* |
| 3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
| 4 | 4 |
* |
| 5 | 5 |
* Copyright (C) 2003-2009 |
| 6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
| 7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
| 8 | 8 |
* |
| 9 | 9 |
* Permission to use, modify and distribute this software is granted |
| 10 | 10 |
* provided that this copyright notice appears in all copies. For |
| 11 | 11 |
* precise terms see the accompanying LICENSE file. |
| 12 | 12 |
* |
| 13 | 13 |
* This software is provided "AS IS" with no warranty of any kind, |
| 14 | 14 |
* express or implied, and with no claim as to its suitability for any |
| 15 | 15 |
* purpose. |
| 16 | 16 |
* |
| 17 | 17 |
*/ |
| 18 | 18 |
|
| 19 | 19 |
#ifndef LEMON_ADAPTORS_H |
| 20 | 20 |
#define LEMON_ADAPTORS_H |
| 21 | 21 |
|
| 22 | 22 |
/// \ingroup graph_adaptors |
| 23 | 23 |
/// \file |
| 24 | 24 |
/// \brief Adaptor classes for digraphs and graphs |
| 25 | 25 |
/// |
| 26 | 26 |
/// This file contains several useful adaptors for digraphs and graphs. |
| 27 | 27 |
|
| 28 | 28 |
#include <lemon/core.h> |
| 29 | 29 |
#include <lemon/maps.h> |
| 30 | 30 |
#include <lemon/bits/variant.h> |
| 31 | 31 |
|
| 32 | 32 |
#include <lemon/bits/graph_adaptor_extender.h> |
| 33 | 33 |
#include <lemon/bits/map_extender.h> |
| 34 | 34 |
#include <lemon/tolerance.h> |
| 35 | 35 |
|
| 36 | 36 |
#include <algorithm> |
| 37 | 37 |
|
| 38 | 38 |
namespace lemon {
|
| 39 | 39 |
|
| 40 | 40 |
#ifdef _MSC_VER |
| 41 | 41 |
#define LEMON_SCOPE_FIX(OUTER, NESTED) OUTER::NESTED |
| 42 | 42 |
#else |
| 43 | 43 |
#define LEMON_SCOPE_FIX(OUTER, NESTED) typename OUTER::template NESTED |
| 44 | 44 |
#endif |
| 45 | 45 |
|
| 46 | 46 |
template<typename DGR> |
| 47 | 47 |
class DigraphAdaptorBase {
|
| 48 | 48 |
public: |
| 49 | 49 |
typedef DGR Digraph; |
| 50 | 50 |
typedef DigraphAdaptorBase Adaptor; |
| 51 | 51 |
|
| 52 | 52 |
protected: |
| 53 | 53 |
DGR* _digraph; |
| 54 | 54 |
DigraphAdaptorBase() : _digraph(0) { }
|
| 55 | 55 |
void initialize(DGR& digraph) { _digraph = &digraph; }
|
| 56 | 56 |
|
| 57 | 57 |
public: |
| 58 | 58 |
DigraphAdaptorBase(DGR& digraph) : _digraph(&digraph) { }
|
| 59 | 59 |
|
| 60 | 60 |
typedef typename DGR::Node Node; |
| 61 | 61 |
typedef typename DGR::Arc Arc; |
| 62 | 62 |
|
| 63 | 63 |
void first(Node& i) const { _digraph->first(i); }
|
| 64 | 64 |
void first(Arc& i) const { _digraph->first(i); }
|
| 65 | 65 |
void firstIn(Arc& i, const Node& n) const { _digraph->firstIn(i, n); }
|
| 66 | 66 |
void firstOut(Arc& i, const Node& n ) const { _digraph->firstOut(i, n); }
|
| 67 | 67 |
|
| 68 | 68 |
void next(Node& i) const { _digraph->next(i); }
|
| 69 | 69 |
void next(Arc& i) const { _digraph->next(i); }
|
| 70 | 70 |
void nextIn(Arc& i) const { _digraph->nextIn(i); }
|
| 71 | 71 |
void nextOut(Arc& i) const { _digraph->nextOut(i); }
|
| 72 | 72 |
|
| 73 | 73 |
Node source(const Arc& a) const { return _digraph->source(a); }
|
| 74 | 74 |
Node target(const Arc& a) const { return _digraph->target(a); }
|
| 75 | 75 |
|
| 76 | 76 |
typedef NodeNumTagIndicator<DGR> NodeNumTag; |
| 77 | 77 |
int nodeNum() const { return _digraph->nodeNum(); }
|
| 78 | 78 |
|
| 79 | 79 |
typedef ArcNumTagIndicator<DGR> ArcNumTag; |
| 80 | 80 |
int arcNum() const { return _digraph->arcNum(); }
|
| 81 | 81 |
|
| 82 | 82 |
typedef FindArcTagIndicator<DGR> FindArcTag; |
| 83 | 83 |
Arc findArc(const Node& u, const Node& v, const Arc& prev = INVALID) const {
|
| 84 | 84 |
return _digraph->findArc(u, v, prev); |
| 85 | 85 |
} |
| 86 | 86 |
|
| 87 | 87 |
Node addNode() { return _digraph->addNode(); }
|
| 88 | 88 |
Arc addArc(const Node& u, const Node& v) { return _digraph->addArc(u, v); }
|
| 89 | 89 |
|
| 90 | 90 |
void erase(const Node& n) { _digraph->erase(n); }
|
| 91 | 91 |
void erase(const Arc& a) { _digraph->erase(a); }
|
| 92 | 92 |
|
| 93 | 93 |
void clear() { _digraph->clear(); }
|
| 94 | 94 |
|
| 95 | 95 |
int id(const Node& n) const { return _digraph->id(n); }
|
| 96 | 96 |
int id(const Arc& a) const { return _digraph->id(a); }
|
| 97 | 97 |
|
| 98 | 98 |
Node nodeFromId(int ix) const { return _digraph->nodeFromId(ix); }
|
| 99 | 99 |
Arc arcFromId(int ix) const { return _digraph->arcFromId(ix); }
|
| 100 | 100 |
|
| 101 | 101 |
int maxNodeId() const { return _digraph->maxNodeId(); }
|
| 102 | 102 |
int maxArcId() const { return _digraph->maxArcId(); }
|
| 103 | 103 |
|
| 104 | 104 |
typedef typename ItemSetTraits<DGR, Node>::ItemNotifier NodeNotifier; |
| 105 | 105 |
NodeNotifier& notifier(Node) const { return _digraph->notifier(Node()); }
|
| 106 | 106 |
|
| 107 | 107 |
typedef typename ItemSetTraits<DGR, Arc>::ItemNotifier ArcNotifier; |
| 108 | 108 |
ArcNotifier& notifier(Arc) const { return _digraph->notifier(Arc()); }
|
| 109 | 109 |
|
| 110 | 110 |
template <typename V> |
| 111 | 111 |
class NodeMap : public DGR::template NodeMap<V> {
|
| 112 | 112 |
typedef typename DGR::template NodeMap<V> Parent; |
| 113 | 113 |
|
| 114 | 114 |
public: |
| 115 | 115 |
explicit NodeMap(const Adaptor& adaptor) |
| 116 | 116 |
: Parent(*adaptor._digraph) {}
|
| 117 | 117 |
NodeMap(const Adaptor& adaptor, const V& value) |
| 118 | 118 |
: Parent(*adaptor._digraph, value) { }
|
| 119 | 119 |
|
| 120 | 120 |
private: |
| 121 | 121 |
NodeMap& operator=(const NodeMap& cmap) {
|
| 122 | 122 |
return operator=<NodeMap>(cmap); |
| 123 | 123 |
} |
| 124 | 124 |
|
| 125 | 125 |
template <typename CMap> |
| 126 | 126 |
NodeMap& operator=(const CMap& cmap) {
|
| 127 | 127 |
Parent::operator=(cmap); |
| 128 | 128 |
return *this; |
| 129 | 129 |
} |
| 130 | 130 |
|
| 131 | 131 |
}; |
| 132 | 132 |
|
| 133 | 133 |
template <typename V> |
| 134 | 134 |
class ArcMap : public DGR::template ArcMap<V> {
|
| 135 | 135 |
typedef typename DGR::template ArcMap<V> Parent; |
| 136 | 136 |
|
| 137 | 137 |
public: |
| 138 | 138 |
explicit ArcMap(const DigraphAdaptorBase<DGR>& adaptor) |
| 139 | 139 |
: Parent(*adaptor._digraph) {}
|
| 140 | 140 |
ArcMap(const DigraphAdaptorBase<DGR>& adaptor, const V& value) |
| 141 | 141 |
: Parent(*adaptor._digraph, value) {}
|
| 142 | 142 |
|
| 143 | 143 |
private: |
| 144 | 144 |
ArcMap& operator=(const ArcMap& cmap) {
|
| 145 | 145 |
return operator=<ArcMap>(cmap); |
| 146 | 146 |
} |
| 147 | 147 |
|
| 148 | 148 |
template <typename CMap> |
| 149 | 149 |
ArcMap& operator=(const CMap& cmap) {
|
| 150 | 150 |
Parent::operator=(cmap); |
| 151 | 151 |
return *this; |
| 152 | 152 |
} |
| 153 | 153 |
|
| 154 | 154 |
}; |
| 155 | 155 |
|
| 156 | 156 |
}; |
| 157 | 157 |
|
| 158 | 158 |
template<typename GR> |
| 159 | 159 |
class GraphAdaptorBase {
|
| 160 | 160 |
public: |
| 161 | 161 |
typedef GR Graph; |
| 162 | 162 |
|
| 163 | 163 |
protected: |
| 164 | 164 |
GR* _graph; |
| 165 | 165 |
|
| 166 | 166 |
GraphAdaptorBase() : _graph(0) {}
|
| 167 | 167 |
|
| 168 | 168 |
void initialize(GR& graph) { _graph = &graph; }
|
| 169 | 169 |
|
| 170 | 170 |
public: |
| 171 | 171 |
GraphAdaptorBase(GR& graph) : _graph(&graph) {}
|
| 172 | 172 |
|
| 173 | 173 |
typedef typename GR::Node Node; |
| 174 | 174 |
typedef typename GR::Arc Arc; |
| 175 | 175 |
typedef typename GR::Edge Edge; |
| 176 | 176 |
|
| 177 | 177 |
void first(Node& i) const { _graph->first(i); }
|
| 178 | 178 |
void first(Arc& i) const { _graph->first(i); }
|
| 179 | 179 |
void first(Edge& i) const { _graph->first(i); }
|
| 180 | 180 |
void firstIn(Arc& i, const Node& n) const { _graph->firstIn(i, n); }
|
| 181 | 181 |
void firstOut(Arc& i, const Node& n ) const { _graph->firstOut(i, n); }
|
| 182 | 182 |
void firstInc(Edge &i, bool &d, const Node &n) const {
|
| 183 | 183 |
_graph->firstInc(i, d, n); |
| 184 | 184 |
} |
| 185 | 185 |
|
| 186 | 186 |
void next(Node& i) const { _graph->next(i); }
|
| 187 | 187 |
void next(Arc& i) const { _graph->next(i); }
|
| 188 | 188 |
void next(Edge& i) const { _graph->next(i); }
|
| 189 | 189 |
void nextIn(Arc& i) const { _graph->nextIn(i); }
|
| 190 | 190 |
void nextOut(Arc& i) const { _graph->nextOut(i); }
|
| 191 | 191 |
void nextInc(Edge &i, bool &d) const { _graph->nextInc(i, d); }
|
| 192 | 192 |
|
| 193 | 193 |
Node u(const Edge& e) const { return _graph->u(e); }
|
| 194 | 194 |
Node v(const Edge& e) const { return _graph->v(e); }
|
| 195 | 195 |
|
| 196 | 196 |
Node source(const Arc& a) const { return _graph->source(a); }
|
| 197 | 197 |
Node target(const Arc& a) const { return _graph->target(a); }
|
| 198 | 198 |
|
| 199 | 199 |
typedef NodeNumTagIndicator<Graph> NodeNumTag; |
| 200 | 200 |
int nodeNum() const { return _graph->nodeNum(); }
|
| 201 | 201 |
|
| 202 | 202 |
typedef ArcNumTagIndicator<Graph> ArcNumTag; |
| 203 | 203 |
int arcNum() const { return _graph->arcNum(); }
|
| 204 | 204 |
|
| 205 | 205 |
typedef EdgeNumTagIndicator<Graph> EdgeNumTag; |
| 206 | 206 |
int edgeNum() const { return _graph->edgeNum(); }
|
| 207 | 207 |
|
| 208 | 208 |
typedef FindArcTagIndicator<Graph> FindArcTag; |
| 209 | 209 |
Arc findArc(const Node& u, const Node& v, |
| 210 | 210 |
const Arc& prev = INVALID) const {
|
| 211 | 211 |
return _graph->findArc(u, v, prev); |
| 212 | 212 |
} |
| 213 | 213 |
|
| 214 | 214 |
typedef FindEdgeTagIndicator<Graph> FindEdgeTag; |
| 215 | 215 |
Edge findEdge(const Node& u, const Node& v, |
| 216 | 216 |
const Edge& prev = INVALID) const {
|
| 217 | 217 |
return _graph->findEdge(u, v, prev); |
| 218 | 218 |
} |
| 219 | 219 |
|
| 220 | 220 |
Node addNode() { return _graph->addNode(); }
|
| 221 | 221 |
Edge addEdge(const Node& u, const Node& v) { return _graph->addEdge(u, v); }
|
| 222 | 222 |
|
| 223 | 223 |
void erase(const Node& i) { _graph->erase(i); }
|
| 224 | 224 |
void erase(const Edge& i) { _graph->erase(i); }
|
| 225 | 225 |
|
| 226 | 226 |
void clear() { _graph->clear(); }
|
| 227 | 227 |
|
| 228 | 228 |
bool direction(const Arc& a) const { return _graph->direction(a); }
|
| 229 | 229 |
Arc direct(const Edge& e, bool d) const { return _graph->direct(e, d); }
|
| 230 | 230 |
|
| 231 | 231 |
int id(const Node& v) const { return _graph->id(v); }
|
| 232 | 232 |
int id(const Arc& a) const { return _graph->id(a); }
|
| 233 | 233 |
int id(const Edge& e) const { return _graph->id(e); }
|
| 234 | 234 |
|
| 235 | 235 |
Node nodeFromId(int ix) const { return _graph->nodeFromId(ix); }
|
| 236 | 236 |
Arc arcFromId(int ix) const { return _graph->arcFromId(ix); }
|
| 237 | 237 |
Edge edgeFromId(int ix) const { return _graph->edgeFromId(ix); }
|
| 238 | 238 |
|
| 239 | 239 |
int maxNodeId() const { return _graph->maxNodeId(); }
|
| 240 | 240 |
int maxArcId() const { return _graph->maxArcId(); }
|
| 241 | 241 |
int maxEdgeId() const { return _graph->maxEdgeId(); }
|
| 242 | 242 |
|
| 243 | 243 |
typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier; |
| 244 | 244 |
NodeNotifier& notifier(Node) const { return _graph->notifier(Node()); }
|
| 245 | 245 |
|
| 246 | 246 |
typedef typename ItemSetTraits<GR, Arc>::ItemNotifier ArcNotifier; |
| 247 | 247 |
ArcNotifier& notifier(Arc) const { return _graph->notifier(Arc()); }
|
| 248 | 248 |
|
| 249 | 249 |
typedef typename ItemSetTraits<GR, Edge>::ItemNotifier EdgeNotifier; |
| 250 | 250 |
EdgeNotifier& notifier(Edge) const { return _graph->notifier(Edge()); }
|
| 251 | 251 |
|
| 252 | 252 |
template <typename V> |
| 253 | 253 |
class NodeMap : public GR::template NodeMap<V> {
|
| 254 | 254 |
typedef typename GR::template NodeMap<V> Parent; |
| 255 | 255 |
|
| 256 | 256 |
public: |
| 257 | 257 |
explicit NodeMap(const GraphAdaptorBase<GR>& adapter) |
| 258 | 258 |
: Parent(*adapter._graph) {}
|
| 259 | 259 |
NodeMap(const GraphAdaptorBase<GR>& adapter, const V& value) |
| 260 | 260 |
: Parent(*adapter._graph, value) {}
|
| 261 | 261 |
|
| 262 | 262 |
private: |
| 263 | 263 |
NodeMap& operator=(const NodeMap& cmap) {
|
| 264 | 264 |
return operator=<NodeMap>(cmap); |
| 265 | 265 |
} |
| 266 | 266 |
|
| 267 | 267 |
template <typename CMap> |
| 268 | 268 |
NodeMap& operator=(const CMap& cmap) {
|
| 269 | 269 |
Parent::operator=(cmap); |
| 270 | 270 |
return *this; |
| 271 | 271 |
} |
| 272 | 272 |
|
| 273 | 273 |
}; |
| 274 | 274 |
|
| 275 | 275 |
template <typename V> |
| 276 | 276 |
class ArcMap : public GR::template ArcMap<V> {
|
| 277 | 277 |
typedef typename GR::template ArcMap<V> Parent; |
| 278 | 278 |
|
| 279 | 279 |
public: |
| 280 | 280 |
explicit ArcMap(const GraphAdaptorBase<GR>& adapter) |
| 281 | 281 |
: Parent(*adapter._graph) {}
|
| 282 | 282 |
ArcMap(const GraphAdaptorBase<GR>& adapter, const V& value) |
| 283 | 283 |
: Parent(*adapter._graph, value) {}
|
| 284 | 284 |
|
| 285 | 285 |
private: |
| 286 | 286 |
ArcMap& operator=(const ArcMap& cmap) {
|
| 287 | 287 |
return operator=<ArcMap>(cmap); |
| 288 | 288 |
} |
| 289 | 289 |
|
| 290 | 290 |
template <typename CMap> |
| 291 | 291 |
ArcMap& operator=(const CMap& cmap) {
|
| 292 | 292 |
Parent::operator=(cmap); |
| 293 | 293 |
return *this; |
| 294 | 294 |
} |
| 295 | 295 |
}; |
| 296 | 296 |
|
| 297 | 297 |
template <typename V> |
| 298 | 298 |
class EdgeMap : public GR::template EdgeMap<V> {
|
| 299 | 299 |
typedef typename GR::template EdgeMap<V> Parent; |
| 300 | 300 |
|
| 301 | 301 |
public: |
| 302 | 302 |
explicit EdgeMap(const GraphAdaptorBase<GR>& adapter) |
| 303 | 303 |
: Parent(*adapter._graph) {}
|
| 304 | 304 |
EdgeMap(const GraphAdaptorBase<GR>& adapter, const V& value) |
| 305 | 305 |
: Parent(*adapter._graph, value) {}
|
| 306 | 306 |
|
| 307 | 307 |
private: |
| 308 | 308 |
EdgeMap& operator=(const EdgeMap& cmap) {
|
| 309 | 309 |
return operator=<EdgeMap>(cmap); |
| 310 | 310 |
} |
| 311 | 311 |
|
| 312 | 312 |
template <typename CMap> |
| 313 | 313 |
EdgeMap& operator=(const CMap& cmap) {
|
| 314 | 314 |
Parent::operator=(cmap); |
| 315 | 315 |
return *this; |
| 316 | 316 |
} |
| 317 | 317 |
}; |
| 318 | 318 |
|
| 319 | 319 |
}; |
| 320 | 320 |
|
| 321 | 321 |
template <typename DGR> |
| 322 | 322 |
class ReverseDigraphBase : public DigraphAdaptorBase<DGR> {
|
| 323 | 323 |
typedef DigraphAdaptorBase<DGR> Parent; |
| 324 | 324 |
public: |
| 325 | 325 |
typedef DGR Digraph; |
| 326 | 326 |
protected: |
| 327 | 327 |
ReverseDigraphBase() : Parent() { }
|
| 328 | 328 |
public: |
| 329 | 329 |
typedef typename Parent::Node Node; |
| 330 | 330 |
typedef typename Parent::Arc Arc; |
| 331 | 331 |
|
| 332 | 332 |
void firstIn(Arc& a, const Node& n) const { Parent::firstOut(a, n); }
|
| 333 | 333 |
void firstOut(Arc& a, const Node& n ) const { Parent::firstIn(a, n); }
|
| 334 | 334 |
|
| 335 | 335 |
void nextIn(Arc& a) const { Parent::nextOut(a); }
|
| 336 | 336 |
void nextOut(Arc& a) const { Parent::nextIn(a); }
|
| 337 | 337 |
|
| 338 | 338 |
Node source(const Arc& a) const { return Parent::target(a); }
|
| 339 | 339 |
Node target(const Arc& a) const { return Parent::source(a); }
|
| 340 | 340 |
|
| 341 | 341 |
Arc addArc(const Node& u, const Node& v) { return Parent::addArc(v, u); }
|
| 342 | 342 |
|
| 343 | 343 |
typedef FindArcTagIndicator<DGR> FindArcTag; |
| 344 | 344 |
Arc findArc(const Node& u, const Node& v, |
| 345 | 345 |
const Arc& prev = INVALID) const {
|
| 346 | 346 |
return Parent::findArc(v, u, prev); |
| 347 | 347 |
} |
| 348 | 348 |
|
| 349 | 349 |
}; |
| 350 | 350 |
|
| 351 | 351 |
/// \ingroup graph_adaptors |
| 352 | 352 |
/// |
| 353 | 353 |
/// \brief Adaptor class for reversing the orientation of the arcs in |
| 354 | 354 |
/// a digraph. |
| 355 | 355 |
/// |
| 356 | 356 |
/// ReverseDigraph can be used for reversing the arcs in a digraph. |
| 357 | 357 |
/// It conforms to the \ref concepts::Digraph "Digraph" concept. |
| 358 | 358 |
/// |
| 359 | 359 |
/// The adapted digraph can also be modified through this adaptor |
| 360 | 360 |
/// by adding or removing nodes or arcs, unless the \c GR template |
| 361 | 361 |
/// parameter is set to be \c const. |
| 362 | 362 |
/// |
| 363 | 363 |
/// \tparam DGR The type of the adapted digraph. |
| 364 | 364 |
/// It must conform to the \ref concepts::Digraph "Digraph" concept. |
| 365 | 365 |
/// It can also be specified to be \c const. |
| 366 | 366 |
/// |
| 367 | 367 |
/// \note The \c Node and \c Arc types of this adaptor and the adapted |
| 368 | 368 |
/// digraph are convertible to each other. |
| 369 | 369 |
template<typename DGR> |
| 370 | 370 |
#ifdef DOXYGEN |
| 371 | 371 |
class ReverseDigraph {
|
| 372 | 372 |
#else |
| 373 | 373 |
class ReverseDigraph : |
| 374 | 374 |
public DigraphAdaptorExtender<ReverseDigraphBase<DGR> > {
|
| 375 | 375 |
#endif |
| 376 | 376 |
typedef DigraphAdaptorExtender<ReverseDigraphBase<DGR> > Parent; |
| 377 | 377 |
public: |
| 378 | 378 |
/// The type of the adapted digraph. |
| 379 | 379 |
typedef DGR Digraph; |
| 380 | 380 |
protected: |
| 381 | 381 |
ReverseDigraph() { }
|
| 382 | 382 |
public: |
| 383 | 383 |
|
| 384 | 384 |
/// \brief Constructor |
| 385 | 385 |
/// |
| 386 | 386 |
/// Creates a reverse digraph adaptor for the given digraph. |
| 387 | 387 |
explicit ReverseDigraph(DGR& digraph) {
|
| 388 | 388 |
Parent::initialize(digraph); |
| 389 | 389 |
} |
| 390 | 390 |
}; |
| 391 | 391 |
|
| 392 | 392 |
/// \brief Returns a read-only ReverseDigraph adaptor |
| 393 | 393 |
/// |
| 394 | 394 |
/// This function just returns a read-only \ref ReverseDigraph adaptor. |
| 395 | 395 |
/// \ingroup graph_adaptors |
| 396 | 396 |
/// \relates ReverseDigraph |
| 397 | 397 |
template<typename DGR> |
| 398 | 398 |
ReverseDigraph<const DGR> reverseDigraph(const DGR& digraph) {
|
| 399 | 399 |
return ReverseDigraph<const DGR>(digraph); |
| 400 | 400 |
} |
| 401 | 401 |
|
| 402 | 402 |
|
| 403 | 403 |
template <typename DGR, typename NF, typename AF, bool ch = true> |
| 404 | 404 |
class SubDigraphBase : public DigraphAdaptorBase<DGR> {
|
| 405 | 405 |
typedef DigraphAdaptorBase<DGR> Parent; |
| 406 | 406 |
public: |
| 407 | 407 |
typedef DGR Digraph; |
| 408 | 408 |
typedef NF NodeFilterMap; |
| 409 | 409 |
typedef AF ArcFilterMap; |
| 410 | 410 |
|
| 411 | 411 |
typedef SubDigraphBase Adaptor; |
| 412 | 412 |
protected: |
| 413 | 413 |
NF* _node_filter; |
| 414 | 414 |
AF* _arc_filter; |
| 415 | 415 |
SubDigraphBase() |
| 416 | 416 |
: Parent(), _node_filter(0), _arc_filter(0) { }
|
| 417 | 417 |
|
| 418 | 418 |
void initialize(DGR& digraph, NF& node_filter, AF& arc_filter) {
|
| 419 | 419 |
Parent::initialize(digraph); |
| 420 | 420 |
_node_filter = &node_filter; |
| 421 | 421 |
_arc_filter = &arc_filter; |
| 422 | 422 |
} |
| 423 | 423 |
|
| 424 | 424 |
public: |
| 425 | 425 |
|
| 426 | 426 |
typedef typename Parent::Node Node; |
| 427 | 427 |
typedef typename Parent::Arc Arc; |
| 428 | 428 |
|
| 429 | 429 |
void first(Node& i) const {
|
| 430 | 430 |
Parent::first(i); |
| 431 | 431 |
while (i != INVALID && !(*_node_filter)[i]) Parent::next(i); |
| 432 | 432 |
} |
| 433 | 433 |
|
| 434 | 434 |
void first(Arc& i) const {
|
| 435 | 435 |
Parent::first(i); |
| 436 | 436 |
while (i != INVALID && (!(*_arc_filter)[i] |
| 437 | 437 |
|| !(*_node_filter)[Parent::source(i)] |
| 438 | 438 |
|| !(*_node_filter)[Parent::target(i)])) |
| 439 | 439 |
Parent::next(i); |
| 440 | 440 |
} |
| 441 | 441 |
|
| 442 | 442 |
void firstIn(Arc& i, const Node& n) const {
|
| 443 | 443 |
Parent::firstIn(i, n); |
| 444 | 444 |
while (i != INVALID && (!(*_arc_filter)[i] |
| 445 | 445 |
|| !(*_node_filter)[Parent::source(i)])) |
| 446 | 446 |
Parent::nextIn(i); |
| 447 | 447 |
} |
| 448 | 448 |
|
| 449 | 449 |
void firstOut(Arc& i, const Node& n) const {
|
| 450 | 450 |
Parent::firstOut(i, n); |
| 451 | 451 |
while (i != INVALID && (!(*_arc_filter)[i] |
| 452 | 452 |
|| !(*_node_filter)[Parent::target(i)])) |
| 453 | 453 |
Parent::nextOut(i); |
| 454 | 454 |
} |
| 455 | 455 |
|
| 456 | 456 |
void next(Node& i) const {
|
| 457 | 457 |
Parent::next(i); |
| 458 | 458 |
while (i != INVALID && !(*_node_filter)[i]) Parent::next(i); |
| 459 | 459 |
} |
| 460 | 460 |
|
| 461 | 461 |
void next(Arc& i) const {
|
| 462 | 462 |
Parent::next(i); |
| 463 | 463 |
while (i != INVALID && (!(*_arc_filter)[i] |
| 464 | 464 |
|| !(*_node_filter)[Parent::source(i)] |
| 465 | 465 |
|| !(*_node_filter)[Parent::target(i)])) |
| 466 | 466 |
Parent::next(i); |
| 467 | 467 |
} |
| 468 | 468 |
|
| 469 | 469 |
void nextIn(Arc& i) const {
|
| 470 | 470 |
Parent::nextIn(i); |
| 471 | 471 |
while (i != INVALID && (!(*_arc_filter)[i] |
| 472 | 472 |
|| !(*_node_filter)[Parent::source(i)])) |
| 473 | 473 |
Parent::nextIn(i); |
| 474 | 474 |
} |
| 475 | 475 |
|
| 476 | 476 |
void nextOut(Arc& i) const {
|
| 477 | 477 |
Parent::nextOut(i); |
| 478 | 478 |
while (i != INVALID && (!(*_arc_filter)[i] |
| 479 | 479 |
|| !(*_node_filter)[Parent::target(i)])) |
| 480 | 480 |
Parent::nextOut(i); |
| 481 | 481 |
} |
| 482 | 482 |
|
| 483 | 483 |
void status(const Node& n, bool v) const { _node_filter->set(n, v); }
|
| 484 | 484 |
void status(const Arc& a, bool v) const { _arc_filter->set(a, v); }
|
| 485 | 485 |
|
| 486 | 486 |
bool status(const Node& n) const { return (*_node_filter)[n]; }
|
| 487 | 487 |
bool status(const Arc& a) const { return (*_arc_filter)[a]; }
|
| 488 | 488 |
|
| 489 | 489 |
typedef False NodeNumTag; |
| 490 | 490 |
typedef False ArcNumTag; |
| 491 | 491 |
|
| 492 | 492 |
typedef FindArcTagIndicator<DGR> FindArcTag; |
| 493 | 493 |
Arc findArc(const Node& source, const Node& target, |
| 494 | 494 |
const Arc& prev = INVALID) const {
|
| 495 | 495 |
if (!(*_node_filter)[source] || !(*_node_filter)[target]) {
|
| 496 | 496 |
return INVALID; |
| 497 | 497 |
} |
| 498 | 498 |
Arc arc = Parent::findArc(source, target, prev); |
| 499 | 499 |
while (arc != INVALID && !(*_arc_filter)[arc]) {
|
| 500 | 500 |
arc = Parent::findArc(source, target, arc); |
| 501 | 501 |
} |
| 502 | 502 |
return arc; |
| 503 | 503 |
} |
| 504 | 504 |
|
| 505 | 505 |
public: |
| 506 | 506 |
|
| 507 | 507 |
template <typename V> |
| 508 | 508 |
class NodeMap |
| 509 | 509 |
: public SubMapExtender<SubDigraphBase<DGR, NF, AF, ch>, |
| 510 | 510 |
LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, NodeMap<V>)> {
|
| 511 | 511 |
typedef SubMapExtender<SubDigraphBase<DGR, NF, AF, ch>, |
| 512 | 512 |
LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, NodeMap<V>)> Parent; |
| 513 | 513 |
|
| 514 | 514 |
public: |
| 515 | 515 |
typedef V Value; |
| 516 | 516 |
|
| 517 | 517 |
NodeMap(const SubDigraphBase<DGR, NF, AF, ch>& adaptor) |
| 518 | 518 |
: Parent(adaptor) {}
|
| 519 | 519 |
NodeMap(const SubDigraphBase<DGR, NF, AF, ch>& adaptor, const V& value) |
| 520 | 520 |
: Parent(adaptor, value) {}
|
| 521 | 521 |
|
| 522 | 522 |
private: |
| 523 | 523 |
NodeMap& operator=(const NodeMap& cmap) {
|
| 524 | 524 |
return operator=<NodeMap>(cmap); |
| 525 | 525 |
} |
| 526 | 526 |
|
| 527 | 527 |
template <typename CMap> |
| 528 | 528 |
NodeMap& operator=(const CMap& cmap) {
|
| 529 | 529 |
Parent::operator=(cmap); |
| 530 | 530 |
return *this; |
| 531 | 531 |
} |
| 532 | 532 |
}; |
| 533 | 533 |
|
| 534 | 534 |
template <typename V> |
| 535 | 535 |
class ArcMap |
| 536 | 536 |
: public SubMapExtender<SubDigraphBase<DGR, NF, AF, ch>, |
| 537 | 537 |
LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, ArcMap<V>)> {
|
| 538 | 538 |
typedef SubMapExtender<SubDigraphBase<DGR, NF, AF, ch>, |
| 539 | 539 |
LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, ArcMap<V>)> Parent; |
| 540 | 540 |
|
| 541 | 541 |
public: |
| 542 | 542 |
typedef V Value; |
| 543 | 543 |
|
| 544 | 544 |
ArcMap(const SubDigraphBase<DGR, NF, AF, ch>& adaptor) |
| 545 | 545 |
: Parent(adaptor) {}
|
| 546 | 546 |
ArcMap(const SubDigraphBase<DGR, NF, AF, ch>& adaptor, const V& value) |
| 547 | 547 |
: Parent(adaptor, value) {}
|
| 548 | 548 |
|
| 549 | 549 |
private: |
| 550 | 550 |
ArcMap& operator=(const ArcMap& cmap) {
|
| 551 | 551 |
return operator=<ArcMap>(cmap); |
| 552 | 552 |
} |
| 553 | 553 |
|
| 554 | 554 |
template <typename CMap> |
| 555 | 555 |
ArcMap& operator=(const CMap& cmap) {
|
| 556 | 556 |
Parent::operator=(cmap); |
| 557 | 557 |
return *this; |
| 558 | 558 |
} |
| 559 | 559 |
}; |
| 560 | 560 |
|
| 561 | 561 |
}; |
| 562 | 562 |
|
| 563 | 563 |
template <typename DGR, typename NF, typename AF> |
| 564 | 564 |
class SubDigraphBase<DGR, NF, AF, false> |
| 565 | 565 |
: public DigraphAdaptorBase<DGR> {
|
| 566 | 566 |
typedef DigraphAdaptorBase<DGR> Parent; |
| 567 | 567 |
public: |
| 568 | 568 |
typedef DGR Digraph; |
| 569 | 569 |
typedef NF NodeFilterMap; |
| 570 | 570 |
typedef AF ArcFilterMap; |
| 571 | 571 |
|
| 572 | 572 |
typedef SubDigraphBase Adaptor; |
| 573 | 573 |
protected: |
| 574 | 574 |
NF* _node_filter; |
| 575 | 575 |
AF* _arc_filter; |
| 576 | 576 |
SubDigraphBase() |
| 577 | 577 |
: Parent(), _node_filter(0), _arc_filter(0) { }
|
| 578 | 578 |
|
| 579 | 579 |
void initialize(DGR& digraph, NF& node_filter, AF& arc_filter) {
|
| 580 | 580 |
Parent::initialize(digraph); |
| 581 | 581 |
_node_filter = &node_filter; |
| 582 | 582 |
_arc_filter = &arc_filter; |
| 583 | 583 |
} |
| 584 | 584 |
|
| 585 | 585 |
public: |
| 586 | 586 |
|
| 587 | 587 |
typedef typename Parent::Node Node; |
| 588 | 588 |
typedef typename Parent::Arc Arc; |
| 589 | 589 |
|
| 590 | 590 |
void first(Node& i) const {
|
| 591 | 591 |
Parent::first(i); |
| 592 | 592 |
while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i); |
| 593 | 593 |
} |
| 594 | 594 |
|
| 595 | 595 |
void first(Arc& i) const {
|
| 596 | 596 |
Parent::first(i); |
| 597 | 597 |
while (i!=INVALID && !(*_arc_filter)[i]) Parent::next(i); |
| 598 | 598 |
} |
| 599 | 599 |
|
| 600 | 600 |
void firstIn(Arc& i, const Node& n) const {
|
| 601 | 601 |
Parent::firstIn(i, n); |
| 602 | 602 |
while (i!=INVALID && !(*_arc_filter)[i]) Parent::nextIn(i); |
| 603 | 603 |
} |
| 604 | 604 |
|
| 605 | 605 |
void firstOut(Arc& i, const Node& n) const {
|
| 606 | 606 |
Parent::firstOut(i, n); |
| 607 | 607 |
while (i!=INVALID && !(*_arc_filter)[i]) Parent::nextOut(i); |
| 608 | 608 |
} |
| 609 | 609 |
|
| 610 | 610 |
void next(Node& i) const {
|
| 611 | 611 |
Parent::next(i); |
| 612 | 612 |
while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i); |
| 613 | 613 |
} |
| 614 | 614 |
void next(Arc& i) const {
|
| 615 | 615 |
Parent::next(i); |
| 616 | 616 |
while (i!=INVALID && !(*_arc_filter)[i]) Parent::next(i); |
| 617 | 617 |
} |
| 618 | 618 |
void nextIn(Arc& i) const {
|
| 619 | 619 |
Parent::nextIn(i); |
| 620 | 620 |
while (i!=INVALID && !(*_arc_filter)[i]) Parent::nextIn(i); |
| 621 | 621 |
} |
| 622 | 622 |
|
| 623 | 623 |
void nextOut(Arc& i) const {
|
| 624 | 624 |
Parent::nextOut(i); |
| 625 | 625 |
while (i!=INVALID && !(*_arc_filter)[i]) Parent::nextOut(i); |
| 626 | 626 |
} |
| 627 | 627 |
|
| 628 | 628 |
void status(const Node& n, bool v) const { _node_filter->set(n, v); }
|
| 629 | 629 |
void status(const Arc& a, bool v) const { _arc_filter->set(a, v); }
|
| 630 | 630 |
|
| 631 | 631 |
bool status(const Node& n) const { return (*_node_filter)[n]; }
|
| 632 | 632 |
bool status(const Arc& a) const { return (*_arc_filter)[a]; }
|
| 633 | 633 |
|
| 634 | 634 |
typedef False NodeNumTag; |
| 635 | 635 |
typedef False ArcNumTag; |
| 636 | 636 |
|
| 637 | 637 |
typedef FindArcTagIndicator<DGR> FindArcTag; |
| 638 | 638 |
Arc findArc(const Node& source, const Node& target, |
| 639 | 639 |
const Arc& prev = INVALID) const {
|
| 640 | 640 |
if (!(*_node_filter)[source] || !(*_node_filter)[target]) {
|
| 641 | 641 |
return INVALID; |
| 642 | 642 |
} |
| 643 | 643 |
Arc arc = Parent::findArc(source, target, prev); |
| 644 | 644 |
while (arc != INVALID && !(*_arc_filter)[arc]) {
|
| 645 | 645 |
arc = Parent::findArc(source, target, arc); |
| 646 | 646 |
} |
| 647 | 647 |
return arc; |
| 648 | 648 |
} |
| 649 | 649 |
|
| 650 | 650 |
template <typename V> |
| 651 | 651 |
class NodeMap |
| 652 | 652 |
: public SubMapExtender<SubDigraphBase<DGR, NF, AF, false>, |
| 653 | 653 |
LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, NodeMap<V>)> {
|
| 654 | 654 |
typedef SubMapExtender<SubDigraphBase<DGR, NF, AF, false>, |
| 655 | 655 |
LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, NodeMap<V>)> Parent; |
| 656 | 656 |
|
| 657 | 657 |
public: |
| 658 | 658 |
typedef V Value; |
| 659 | 659 |
|
| 660 | 660 |
NodeMap(const SubDigraphBase<DGR, NF, AF, false>& adaptor) |
| 661 | 661 |
: Parent(adaptor) {}
|
| 662 | 662 |
NodeMap(const SubDigraphBase<DGR, NF, AF, false>& adaptor, const V& value) |
| 663 | 663 |
: Parent(adaptor, value) {}
|
| 664 | 664 |
|
| 665 | 665 |
private: |
| 666 | 666 |
NodeMap& operator=(const NodeMap& cmap) {
|
| 667 | 667 |
return operator=<NodeMap>(cmap); |
| 668 | 668 |
} |
| 669 | 669 |
|
| 670 | 670 |
template <typename CMap> |
| 671 | 671 |
NodeMap& operator=(const CMap& cmap) {
|
| 672 | 672 |
Parent::operator=(cmap); |
| 673 | 673 |
return *this; |
| 674 | 674 |
} |
| 675 | 675 |
}; |
| 676 | 676 |
|
| 677 | 677 |
template <typename V> |
| 678 | 678 |
class ArcMap |
| 679 | 679 |
: public SubMapExtender<SubDigraphBase<DGR, NF, AF, false>, |
| 680 | 680 |
LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, ArcMap<V>)> {
|
| 681 | 681 |
typedef SubMapExtender<SubDigraphBase<DGR, NF, AF, false>, |
| 682 | 682 |
LEMON_SCOPE_FIX(DigraphAdaptorBase<DGR>, ArcMap<V>)> Parent; |
| 683 | 683 |
|
| 684 | 684 |
public: |
| 685 | 685 |
typedef V Value; |
| 686 | 686 |
|
| 687 | 687 |
ArcMap(const SubDigraphBase<DGR, NF, AF, false>& adaptor) |
| 688 | 688 |
: Parent(adaptor) {}
|
| 689 | 689 |
ArcMap(const SubDigraphBase<DGR, NF, AF, false>& adaptor, const V& value) |
| 690 | 690 |
: Parent(adaptor, value) {}
|
| 691 | 691 |
|
| 692 | 692 |
private: |
| 693 | 693 |
ArcMap& operator=(const ArcMap& cmap) {
|
| 694 | 694 |
return operator=<ArcMap>(cmap); |
| 695 | 695 |
} |
| 696 | 696 |
|
| 697 | 697 |
template <typename CMap> |
| 698 | 698 |
ArcMap& operator=(const CMap& cmap) {
|
| 699 | 699 |
Parent::operator=(cmap); |
| 700 | 700 |
return *this; |
| 701 | 701 |
} |
| 702 | 702 |
}; |
| 703 | 703 |
|
| 704 | 704 |
}; |
| 705 | 705 |
|
| 706 | 706 |
/// \ingroup graph_adaptors |
| 707 | 707 |
/// |
| 708 | 708 |
/// \brief Adaptor class for hiding nodes and arcs in a digraph |
| 709 | 709 |
/// |
| 710 | 710 |
/// SubDigraph can be used for hiding nodes and arcs in a digraph. |
| 711 | 711 |
/// A \c bool node map and a \c bool arc map must be specified, which |
| 712 | 712 |
/// define the filters for nodes and arcs. |
| 713 | 713 |
/// Only the nodes and arcs with \c true filter value are |
| 714 | 714 |
/// shown in the subdigraph. The arcs that are incident to hidden |
| 715 | 715 |
/// nodes are also filtered out. |
| 716 | 716 |
/// This adaptor conforms to the \ref concepts::Digraph "Digraph" concept. |
| 717 | 717 |
/// |
| 718 | 718 |
/// The adapted digraph can also be modified through this adaptor |
| 719 | 719 |
/// by adding or removing nodes or arcs, unless the \c GR template |
| 720 | 720 |
/// parameter is set to be \c const. |
| 721 | 721 |
/// |
| 722 | 722 |
/// \tparam DGR The type of the adapted digraph. |
| 723 | 723 |
/// It must conform to the \ref concepts::Digraph "Digraph" concept. |
| 724 | 724 |
/// It can also be specified to be \c const. |
| 725 | 725 |
/// \tparam NF The type of the node filter map. |
| 726 | 726 |
/// It must be a \c bool (or convertible) node map of the |
| 727 | 727 |
/// adapted digraph. The default type is |
| 728 | 728 |
/// \ref concepts::Digraph::NodeMap "DGR::NodeMap<bool>". |
| 729 | 729 |
/// \tparam AF The type of the arc filter map. |
| 730 | 730 |
/// It must be \c bool (or convertible) arc map of the |
| 731 | 731 |
/// adapted digraph. The default type is |
| 732 | 732 |
/// \ref concepts::Digraph::ArcMap "DGR::ArcMap<bool>". |
| 733 | 733 |
/// |
| 734 | 734 |
/// \note The \c Node and \c Arc types of this adaptor and the adapted |
| 735 | 735 |
/// digraph are convertible to each other. |
| 736 | 736 |
/// |
| 737 | 737 |
/// \see FilterNodes |
| 738 | 738 |
/// \see FilterArcs |
| 739 | 739 |
#ifdef DOXYGEN |
| 740 | 740 |
template<typename DGR, typename NF, typename AF> |
| 741 | 741 |
class SubDigraph {
|
| 742 | 742 |
#else |
| 743 | 743 |
template<typename DGR, |
| 744 | 744 |
typename NF = typename DGR::template NodeMap<bool>, |
| 745 | 745 |
typename AF = typename DGR::template ArcMap<bool> > |
| 746 | 746 |
class SubDigraph : |
| 747 | 747 |
public DigraphAdaptorExtender<SubDigraphBase<DGR, NF, AF, true> > {
|
| 748 | 748 |
#endif |
| 749 | 749 |
public: |
| 750 | 750 |
/// The type of the adapted digraph. |
| 751 | 751 |
typedef DGR Digraph; |
| 752 | 752 |
/// The type of the node filter map. |
| 753 | 753 |
typedef NF NodeFilterMap; |
| 754 | 754 |
/// The type of the arc filter map. |
| 755 | 755 |
typedef AF ArcFilterMap; |
| 756 | 756 |
|
| 757 | 757 |
typedef DigraphAdaptorExtender<SubDigraphBase<DGR, NF, AF, true> > |
| 758 | 758 |
Parent; |
| 759 | 759 |
|
| 760 | 760 |
typedef typename Parent::Node Node; |
| 761 | 761 |
typedef typename Parent::Arc Arc; |
| 762 | 762 |
|
| 763 | 763 |
protected: |
| 764 | 764 |
SubDigraph() { }
|
| 765 | 765 |
public: |
| 766 | 766 |
|
| 767 | 767 |
/// \brief Constructor |
| 768 | 768 |
/// |
| 769 | 769 |
/// Creates a subdigraph for the given digraph with the |
| 770 | 770 |
/// given node and arc filter maps. |
| 771 | 771 |
SubDigraph(DGR& digraph, NF& node_filter, AF& arc_filter) {
|
| 772 | 772 |
Parent::initialize(digraph, node_filter, arc_filter); |
| 773 | 773 |
} |
| 774 | 774 |
|
| 775 | 775 |
/// \brief Sets the status of the given node |
| 776 | 776 |
/// |
| 777 | 777 |
/// This function sets the status of the given node. |
| 778 | 778 |
/// It is done by simply setting the assigned value of \c n |
| 779 | 779 |
/// to \c v in the node filter map. |
| 780 | 780 |
void status(const Node& n, bool v) const { Parent::status(n, v); }
|
| 781 | 781 |
|
| 782 | 782 |
/// \brief Sets the status of the given arc |
| 783 | 783 |
/// |
| 784 | 784 |
/// This function sets the status of the given arc. |
| 785 | 785 |
/// It is done by simply setting the assigned value of \c a |
| 786 | 786 |
/// to \c v in the arc filter map. |
| 787 | 787 |
void status(const Arc& a, bool v) const { Parent::status(a, v); }
|
| 788 | 788 |
|
| 789 | 789 |
/// \brief Returns the status of the given node |
| 790 | 790 |
/// |
| 791 | 791 |
/// This function returns the status of the given node. |
| 792 | 792 |
/// It is \c true if the given node is enabled (i.e. not hidden). |
| 793 | 793 |
bool status(const Node& n) const { return Parent::status(n); }
|
| 794 | 794 |
|
| 795 | 795 |
/// \brief Returns the status of the given arc |
| 796 | 796 |
/// |
| 797 | 797 |
/// This function returns the status of the given arc. |
| 798 | 798 |
/// It is \c true if the given arc is enabled (i.e. not hidden). |
| 799 | 799 |
bool status(const Arc& a) const { return Parent::status(a); }
|
| 800 | 800 |
|
| 801 | 801 |
/// \brief Disables the given node |
| 802 | 802 |
/// |
| 803 | 803 |
/// This function disables the given node in the subdigraph, |
| 804 | 804 |
/// so the iteration jumps over it. |
| 805 | 805 |
/// It is the same as \ref status() "status(n, false)". |
| 806 | 806 |
void disable(const Node& n) const { Parent::status(n, false); }
|
| 807 | 807 |
|
| 808 | 808 |
/// \brief Disables the given arc |
| 809 | 809 |
/// |
| 810 | 810 |
/// This function disables the given arc in the subdigraph, |
| 811 | 811 |
/// so the iteration jumps over it. |
| 812 | 812 |
/// It is the same as \ref status() "status(a, false)". |
| 813 | 813 |
void disable(const Arc& a) const { Parent::status(a, false); }
|
| 814 | 814 |
|
| 815 | 815 |
/// \brief Enables the given node |
| 816 | 816 |
/// |
| 817 | 817 |
/// This function enables the given node in the subdigraph. |
| 818 | 818 |
/// It is the same as \ref status() "status(n, true)". |
| 819 | 819 |
void enable(const Node& n) const { Parent::status(n, true); }
|
| 820 | 820 |
|
| 821 | 821 |
/// \brief Enables the given arc |
| 822 | 822 |
/// |
| 823 | 823 |
/// This function enables the given arc in the subdigraph. |
| 824 | 824 |
/// It is the same as \ref status() "status(a, true)". |
| 825 | 825 |
void enable(const Arc& a) const { Parent::status(a, true); }
|
| 826 | 826 |
|
| 827 | 827 |
}; |
| 828 | 828 |
|
| 829 | 829 |
/// \brief Returns a read-only SubDigraph adaptor |
| 830 | 830 |
/// |
| 831 | 831 |
/// This function just returns a read-only \ref SubDigraph adaptor. |
| 832 | 832 |
/// \ingroup graph_adaptors |
| 833 | 833 |
/// \relates SubDigraph |
| 834 | 834 |
template<typename DGR, typename NF, typename AF> |
| 835 | 835 |
SubDigraph<const DGR, NF, AF> |
| 836 | 836 |
subDigraph(const DGR& digraph, |
| 837 | 837 |
NF& node_filter, AF& arc_filter) {
|
| 838 | 838 |
return SubDigraph<const DGR, NF, AF> |
| 839 | 839 |
(digraph, node_filter, arc_filter); |
| 840 | 840 |
} |
| 841 | 841 |
|
| 842 | 842 |
template<typename DGR, typename NF, typename AF> |
| 843 | 843 |
SubDigraph<const DGR, const NF, AF> |
| 844 | 844 |
subDigraph(const DGR& digraph, |
| 845 | 845 |
const NF& node_filter, AF& arc_filter) {
|
| 846 | 846 |
return SubDigraph<const DGR, const NF, AF> |
| 847 | 847 |
(digraph, node_filter, arc_filter); |
| 848 | 848 |
} |
| 849 | 849 |
|
| 850 | 850 |
template<typename DGR, typename NF, typename AF> |
| 851 | 851 |
SubDigraph<const DGR, NF, const AF> |
| 852 | 852 |
subDigraph(const DGR& digraph, |
| 853 | 853 |
NF& node_filter, const AF& arc_filter) {
|
| 854 | 854 |
return SubDigraph<const DGR, NF, const AF> |
| 855 | 855 |
(digraph, node_filter, arc_filter); |
| 856 | 856 |
} |
| 857 | 857 |
|
| 858 | 858 |
template<typename DGR, typename NF, typename AF> |
| 859 | 859 |
SubDigraph<const DGR, const NF, const AF> |
| 860 | 860 |
subDigraph(const DGR& digraph, |
| 861 | 861 |
const NF& node_filter, const AF& arc_filter) {
|
| 862 | 862 |
return SubDigraph<const DGR, const NF, const AF> |
| 863 | 863 |
(digraph, node_filter, arc_filter); |
| 864 | 864 |
} |
| 865 | 865 |
|
| 866 | 866 |
|
| 867 | 867 |
template <typename GR, typename NF, typename EF, bool ch = true> |
| 868 | 868 |
class SubGraphBase : public GraphAdaptorBase<GR> {
|
| 869 | 869 |
typedef GraphAdaptorBase<GR> Parent; |
| 870 | 870 |
public: |
| 871 | 871 |
typedef GR Graph; |
| 872 | 872 |
typedef NF NodeFilterMap; |
| 873 | 873 |
typedef EF EdgeFilterMap; |
| 874 | 874 |
|
| 875 | 875 |
typedef SubGraphBase Adaptor; |
| 876 | 876 |
protected: |
| 877 | 877 |
|
| 878 | 878 |
NF* _node_filter; |
| 879 | 879 |
EF* _edge_filter; |
| 880 | 880 |
|
| 881 | 881 |
SubGraphBase() |
| 882 | 882 |
: Parent(), _node_filter(0), _edge_filter(0) { }
|
| 883 | 883 |
|
| 884 | 884 |
void initialize(GR& graph, NF& node_filter, EF& edge_filter) {
|
| 885 | 885 |
Parent::initialize(graph); |
| 886 | 886 |
_node_filter = &node_filter; |
| 887 | 887 |
_edge_filter = &edge_filter; |
| 888 | 888 |
} |
| 889 | 889 |
|
| 890 | 890 |
public: |
| 891 | 891 |
|
| 892 | 892 |
typedef typename Parent::Node Node; |
| 893 | 893 |
typedef typename Parent::Arc Arc; |
| 894 | 894 |
typedef typename Parent::Edge Edge; |
| 895 | 895 |
|
| 896 | 896 |
void first(Node& i) const {
|
| 897 | 897 |
Parent::first(i); |
| 898 | 898 |
while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i); |
| 899 | 899 |
} |
| 900 | 900 |
|
| 901 | 901 |
void first(Arc& i) const {
|
| 902 | 902 |
Parent::first(i); |
| 903 | 903 |
while (i!=INVALID && (!(*_edge_filter)[i] |
| 904 | 904 |
|| !(*_node_filter)[Parent::source(i)] |
| 905 | 905 |
|| !(*_node_filter)[Parent::target(i)])) |
| 906 | 906 |
Parent::next(i); |
| 907 | 907 |
} |
| 908 | 908 |
|
| 909 | 909 |
void first(Edge& i) const {
|
| 910 | 910 |
Parent::first(i); |
| 911 | 911 |
while (i!=INVALID && (!(*_edge_filter)[i] |
| 912 | 912 |
|| !(*_node_filter)[Parent::u(i)] |
| 913 | 913 |
|| !(*_node_filter)[Parent::v(i)])) |
| 914 | 914 |
Parent::next(i); |
| 915 | 915 |
} |
| 916 | 916 |
|
| 917 | 917 |
void firstIn(Arc& i, const Node& n) const {
|
| 918 | 918 |
Parent::firstIn(i, n); |
| 919 | 919 |
while (i!=INVALID && (!(*_edge_filter)[i] |
| 920 | 920 |
|| !(*_node_filter)[Parent::source(i)])) |
| 921 | 921 |
Parent::nextIn(i); |
| 922 | 922 |
} |
| 923 | 923 |
|
| 924 | 924 |
void firstOut(Arc& i, const Node& n) const {
|
| 925 | 925 |
Parent::firstOut(i, n); |
| 926 | 926 |
while (i!=INVALID && (!(*_edge_filter)[i] |
| 927 | 927 |
|| !(*_node_filter)[Parent::target(i)])) |
| 928 | 928 |
Parent::nextOut(i); |
| 929 | 929 |
} |
| 930 | 930 |
|
| 931 | 931 |
void firstInc(Edge& i, bool& d, const Node& n) const {
|
| 932 | 932 |
Parent::firstInc(i, d, n); |
| 933 | 933 |
while (i!=INVALID && (!(*_edge_filter)[i] |
| 934 | 934 |
|| !(*_node_filter)[Parent::u(i)] |
| 935 | 935 |
|| !(*_node_filter)[Parent::v(i)])) |
| 936 | 936 |
Parent::nextInc(i, d); |
| 937 | 937 |
} |
| 938 | 938 |
|
| 939 | 939 |
void next(Node& i) const {
|
| 940 | 940 |
Parent::next(i); |
| 941 | 941 |
while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i); |
| 942 | 942 |
} |
| 943 | 943 |
|
| 944 | 944 |
void next(Arc& i) const {
|
| 945 | 945 |
Parent::next(i); |
| 946 | 946 |
while (i!=INVALID && (!(*_edge_filter)[i] |
| 947 | 947 |
|| !(*_node_filter)[Parent::source(i)] |
| 948 | 948 |
|| !(*_node_filter)[Parent::target(i)])) |
| 949 | 949 |
Parent::next(i); |
| 950 | 950 |
} |
| 951 | 951 |
|
| 952 | 952 |
void next(Edge& i) const {
|
| 953 | 953 |
Parent::next(i); |
| 954 | 954 |
while (i!=INVALID && (!(*_edge_filter)[i] |
| 955 | 955 |
|| !(*_node_filter)[Parent::u(i)] |
| 956 | 956 |
|| !(*_node_filter)[Parent::v(i)])) |
| 957 | 957 |
Parent::next(i); |
| 958 | 958 |
} |
| 959 | 959 |
|
| 960 | 960 |
void nextIn(Arc& i) const {
|
| 961 | 961 |
Parent::nextIn(i); |
| 962 | 962 |
while (i!=INVALID && (!(*_edge_filter)[i] |
| 963 | 963 |
|| !(*_node_filter)[Parent::source(i)])) |
| 964 | 964 |
Parent::nextIn(i); |
| 965 | 965 |
} |
| 966 | 966 |
|
| 967 | 967 |
void nextOut(Arc& i) const {
|
| 968 | 968 |
Parent::nextOut(i); |
| 969 | 969 |
while (i!=INVALID && (!(*_edge_filter)[i] |
| 970 | 970 |
|| !(*_node_filter)[Parent::target(i)])) |
| 971 | 971 |
Parent::nextOut(i); |
| 972 | 972 |
} |
| 973 | 973 |
|
| 974 | 974 |
void nextInc(Edge& i, bool& d) const {
|
| 975 | 975 |
Parent::nextInc(i, d); |
| 976 | 976 |
while (i!=INVALID && (!(*_edge_filter)[i] |
| 977 | 977 |
|| !(*_node_filter)[Parent::u(i)] |
| 978 | 978 |
|| !(*_node_filter)[Parent::v(i)])) |
| 979 | 979 |
Parent::nextInc(i, d); |
| 980 | 980 |
} |
| 981 | 981 |
|
| 982 | 982 |
void status(const Node& n, bool v) const { _node_filter->set(n, v); }
|
| 983 | 983 |
void status(const Edge& e, bool v) const { _edge_filter->set(e, v); }
|
| 984 | 984 |
|
| 985 | 985 |
bool status(const Node& n) const { return (*_node_filter)[n]; }
|
| 986 | 986 |
bool status(const Edge& e) const { return (*_edge_filter)[e]; }
|
| 987 | 987 |
|
| 988 | 988 |
typedef False NodeNumTag; |
| 989 | 989 |
typedef False ArcNumTag; |
| 990 | 990 |
typedef False EdgeNumTag; |
| 991 | 991 |
|
| 992 | 992 |
typedef FindArcTagIndicator<Graph> FindArcTag; |
| 993 | 993 |
Arc findArc(const Node& u, const Node& v, |
| 994 | 994 |
const Arc& prev = INVALID) const {
|
| 995 | 995 |
if (!(*_node_filter)[u] || !(*_node_filter)[v]) {
|
| 996 | 996 |
return INVALID; |
| 997 | 997 |
} |
| 998 | 998 |
Arc arc = Parent::findArc(u, v, prev); |
| 999 | 999 |
while (arc != INVALID && !(*_edge_filter)[arc]) {
|
| 1000 | 1000 |
arc = Parent::findArc(u, v, arc); |
| 1001 | 1001 |
} |
| 1002 | 1002 |
return arc; |
| 1003 | 1003 |
} |
| 1004 | 1004 |
|
| 1005 | 1005 |
typedef FindEdgeTagIndicator<Graph> FindEdgeTag; |
| 1006 | 1006 |
Edge findEdge(const Node& u, const Node& v, |
| 1007 | 1007 |
const Edge& prev = INVALID) const {
|
| 1008 | 1008 |
if (!(*_node_filter)[u] || !(*_node_filter)[v]) {
|
| 1009 | 1009 |
return INVALID; |
| 1010 | 1010 |
} |
| 1011 | 1011 |
Edge edge = Parent::findEdge(u, v, prev); |
| 1012 | 1012 |
while (edge != INVALID && !(*_edge_filter)[edge]) {
|
| 1013 | 1013 |
edge = Parent::findEdge(u, v, edge); |
| 1014 | 1014 |
} |
| 1015 | 1015 |
return edge; |
| 1016 | 1016 |
} |
| 1017 | 1017 |
|
| 1018 | 1018 |
template <typename V> |
| 1019 | 1019 |
class NodeMap |
| 1020 | 1020 |
: public SubMapExtender<SubGraphBase<GR, NF, EF, ch>, |
| 1021 | 1021 |
LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, NodeMap<V>)> {
|
| 1022 | 1022 |
typedef SubMapExtender<SubGraphBase<GR, NF, EF, ch>, |
| 1023 | 1023 |
LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, NodeMap<V>)> Parent; |
| 1024 | 1024 |
|
| 1025 | 1025 |
public: |
| 1026 | 1026 |
typedef V Value; |
| 1027 | 1027 |
|
| 1028 | 1028 |
NodeMap(const SubGraphBase<GR, NF, EF, ch>& adaptor) |
| 1029 | 1029 |
: Parent(adaptor) {}
|
| 1030 | 1030 |
NodeMap(const SubGraphBase<GR, NF, EF, ch>& adaptor, const V& value) |
| 1031 | 1031 |
: Parent(adaptor, value) {}
|
| 1032 | 1032 |
|
| 1033 | 1033 |
private: |
| 1034 | 1034 |
NodeMap& operator=(const NodeMap& cmap) {
|
| 1035 | 1035 |
return operator=<NodeMap>(cmap); |
| 1036 | 1036 |
} |
| 1037 | 1037 |
|
| 1038 | 1038 |
template <typename CMap> |
| 1039 | 1039 |
NodeMap& operator=(const CMap& cmap) {
|
| 1040 | 1040 |
Parent::operator=(cmap); |
| 1041 | 1041 |
return *this; |
| 1042 | 1042 |
} |
| 1043 | 1043 |
}; |
| 1044 | 1044 |
|
| 1045 | 1045 |
template <typename V> |
| 1046 | 1046 |
class ArcMap |
| 1047 | 1047 |
: public SubMapExtender<SubGraphBase<GR, NF, EF, ch>, |
| 1048 | 1048 |
LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, ArcMap<V>)> {
|
| 1049 | 1049 |
typedef SubMapExtender<SubGraphBase<GR, NF, EF, ch>, |
| 1050 | 1050 |
LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, ArcMap<V>)> Parent; |
| 1051 | 1051 |
|
| 1052 | 1052 |
public: |
| 1053 | 1053 |
typedef V Value; |
| 1054 | 1054 |
|
| 1055 | 1055 |
ArcMap(const SubGraphBase<GR, NF, EF, ch>& adaptor) |
| 1056 | 1056 |
: Parent(adaptor) {}
|
| 1057 | 1057 |
ArcMap(const SubGraphBase<GR, NF, EF, ch>& adaptor, const V& value) |
| 1058 | 1058 |
: Parent(adaptor, value) {}
|
| 1059 | 1059 |
|
| 1060 | 1060 |
private: |
| 1061 | 1061 |
ArcMap& operator=(const ArcMap& cmap) {
|
| 1062 | 1062 |
return operator=<ArcMap>(cmap); |
| 1063 | 1063 |
} |
| 1064 | 1064 |
|
| 1065 | 1065 |
template <typename CMap> |
| 1066 | 1066 |
ArcMap& operator=(const CMap& cmap) {
|
| 1067 | 1067 |
Parent::operator=(cmap); |
| 1068 | 1068 |
return *this; |
| 1069 | 1069 |
} |
| 1070 | 1070 |
}; |
| 1071 | 1071 |
|
| 1072 | 1072 |
template <typename V> |
| 1073 | 1073 |
class EdgeMap |
| 1074 | 1074 |
: public SubMapExtender<SubGraphBase<GR, NF, EF, ch>, |
| 1075 | 1075 |
LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, EdgeMap<V>)> {
|
| 1076 | 1076 |
typedef SubMapExtender<SubGraphBase<GR, NF, EF, ch>, |
| 1077 | 1077 |
LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, EdgeMap<V>)> Parent; |
| 1078 | 1078 |
|
| 1079 | 1079 |
public: |
| 1080 | 1080 |
typedef V Value; |
| 1081 | 1081 |
|
| 1082 | 1082 |
EdgeMap(const SubGraphBase<GR, NF, EF, ch>& adaptor) |
| 1083 | 1083 |
: Parent(adaptor) {}
|
| 1084 | 1084 |
|
| 1085 | 1085 |
EdgeMap(const SubGraphBase<GR, NF, EF, ch>& adaptor, const V& value) |
| 1086 | 1086 |
: Parent(adaptor, value) {}
|
| 1087 | 1087 |
|
| 1088 | 1088 |
private: |
| 1089 | 1089 |
EdgeMap& operator=(const EdgeMap& cmap) {
|
| 1090 | 1090 |
return operator=<EdgeMap>(cmap); |
| 1091 | 1091 |
} |
| 1092 | 1092 |
|
| 1093 | 1093 |
template <typename CMap> |
| 1094 | 1094 |
EdgeMap& operator=(const CMap& cmap) {
|
| 1095 | 1095 |
Parent::operator=(cmap); |
| 1096 | 1096 |
return *this; |
| 1097 | 1097 |
} |
| 1098 | 1098 |
}; |
| 1099 | 1099 |
|
| 1100 | 1100 |
}; |
| 1101 | 1101 |
|
| 1102 | 1102 |
template <typename GR, typename NF, typename EF> |
| 1103 | 1103 |
class SubGraphBase<GR, NF, EF, false> |
| 1104 | 1104 |
: public GraphAdaptorBase<GR> {
|
| 1105 | 1105 |
typedef GraphAdaptorBase<GR> Parent; |
| 1106 | 1106 |
public: |
| 1107 | 1107 |
typedef GR Graph; |
| 1108 | 1108 |
typedef NF NodeFilterMap; |
| 1109 | 1109 |
typedef EF EdgeFilterMap; |
| 1110 | 1110 |
|
| 1111 | 1111 |
typedef SubGraphBase Adaptor; |
| 1112 | 1112 |
protected: |
| 1113 | 1113 |
NF* _node_filter; |
| 1114 | 1114 |
EF* _edge_filter; |
| 1115 | 1115 |
SubGraphBase() |
| 1116 | 1116 |
: Parent(), _node_filter(0), _edge_filter(0) { }
|
| 1117 | 1117 |
|
| 1118 | 1118 |
void initialize(GR& graph, NF& node_filter, EF& edge_filter) {
|
| 1119 | 1119 |
Parent::initialize(graph); |
| 1120 | 1120 |
_node_filter = &node_filter; |
| 1121 | 1121 |
_edge_filter = &edge_filter; |
| 1122 | 1122 |
} |
| 1123 | 1123 |
|
| 1124 | 1124 |
public: |
| 1125 | 1125 |
|
| 1126 | 1126 |
typedef typename Parent::Node Node; |
| 1127 | 1127 |
typedef typename Parent::Arc Arc; |
| 1128 | 1128 |
typedef typename Parent::Edge Edge; |
| 1129 | 1129 |
|
| 1130 | 1130 |
void first(Node& i) const {
|
| 1131 | 1131 |
Parent::first(i); |
| 1132 | 1132 |
while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i); |
| 1133 | 1133 |
} |
| 1134 | 1134 |
|
| 1135 | 1135 |
void first(Arc& i) const {
|
| 1136 | 1136 |
Parent::first(i); |
| 1137 | 1137 |
while (i!=INVALID && !(*_edge_filter)[i]) Parent::next(i); |
| 1138 | 1138 |
} |
| 1139 | 1139 |
|
| 1140 | 1140 |
void first(Edge& i) const {
|
| 1141 | 1141 |
Parent::first(i); |
| 1142 | 1142 |
while (i!=INVALID && !(*_edge_filter)[i]) Parent::next(i); |
| 1143 | 1143 |
} |
| 1144 | 1144 |
|
| 1145 | 1145 |
void firstIn(Arc& i, const Node& n) const {
|
| 1146 | 1146 |
Parent::firstIn(i, n); |
| 1147 | 1147 |
while (i!=INVALID && !(*_edge_filter)[i]) Parent::nextIn(i); |
| 1148 | 1148 |
} |
| 1149 | 1149 |
|
| 1150 | 1150 |
void firstOut(Arc& i, const Node& n) const {
|
| 1151 | 1151 |
Parent::firstOut(i, n); |
| 1152 | 1152 |
while (i!=INVALID && !(*_edge_filter)[i]) Parent::nextOut(i); |
| 1153 | 1153 |
} |
| 1154 | 1154 |
|
| 1155 | 1155 |
void firstInc(Edge& i, bool& d, const Node& n) const {
|
| 1156 | 1156 |
Parent::firstInc(i, d, n); |
| 1157 | 1157 |
while (i!=INVALID && !(*_edge_filter)[i]) Parent::nextInc(i, d); |
| 1158 | 1158 |
} |
| 1159 | 1159 |
|
| 1160 | 1160 |
void next(Node& i) const {
|
| 1161 | 1161 |
Parent::next(i); |
| 1162 | 1162 |
while (i!=INVALID && !(*_node_filter)[i]) Parent::next(i); |
| 1163 | 1163 |
} |
| 1164 | 1164 |
void next(Arc& i) const {
|
| 1165 | 1165 |
Parent::next(i); |
| 1166 | 1166 |
while (i!=INVALID && !(*_edge_filter)[i]) Parent::next(i); |
| 1167 | 1167 |
} |
| 1168 | 1168 |
void next(Edge& i) const {
|
| 1169 | 1169 |
Parent::next(i); |
| 1170 | 1170 |
while (i!=INVALID && !(*_edge_filter)[i]) Parent::next(i); |
| 1171 | 1171 |
} |
| 1172 | 1172 |
void nextIn(Arc& i) const {
|
| 1173 | 1173 |
Parent::nextIn(i); |
| 1174 | 1174 |
while (i!=INVALID && !(*_edge_filter)[i]) Parent::nextIn(i); |
| 1175 | 1175 |
} |
| 1176 | 1176 |
|
| 1177 | 1177 |
void nextOut(Arc& i) const {
|
| 1178 | 1178 |
Parent::nextOut(i); |
| 1179 | 1179 |
while (i!=INVALID && !(*_edge_filter)[i]) Parent::nextOut(i); |
| 1180 | 1180 |
} |
| 1181 | 1181 |
void nextInc(Edge& i, bool& d) const {
|
| 1182 | 1182 |
Parent::nextInc(i, d); |
| 1183 | 1183 |
while (i!=INVALID && !(*_edge_filter)[i]) Parent::nextInc(i, d); |
| 1184 | 1184 |
} |
| 1185 | 1185 |
|
| 1186 | 1186 |
void status(const Node& n, bool v) const { _node_filter->set(n, v); }
|
| 1187 | 1187 |
void status(const Edge& e, bool v) const { _edge_filter->set(e, v); }
|
| 1188 | 1188 |
|
| 1189 | 1189 |
bool status(const Node& n) const { return (*_node_filter)[n]; }
|
| 1190 | 1190 |
bool status(const Edge& e) const { return (*_edge_filter)[e]; }
|
| 1191 | 1191 |
|
| 1192 | 1192 |
typedef False NodeNumTag; |
| 1193 | 1193 |
typedef False ArcNumTag; |
| 1194 | 1194 |
typedef False EdgeNumTag; |
| 1195 | 1195 |
|
| 1196 | 1196 |
typedef FindArcTagIndicator<Graph> FindArcTag; |
| 1197 | 1197 |
Arc findArc(const Node& u, const Node& v, |
| 1198 | 1198 |
const Arc& prev = INVALID) const {
|
| 1199 | 1199 |
Arc arc = Parent::findArc(u, v, prev); |
| 1200 | 1200 |
while (arc != INVALID && !(*_edge_filter)[arc]) {
|
| 1201 | 1201 |
arc = Parent::findArc(u, v, arc); |
| 1202 | 1202 |
} |
| 1203 | 1203 |
return arc; |
| 1204 | 1204 |
} |
| 1205 | 1205 |
|
| 1206 | 1206 |
typedef FindEdgeTagIndicator<Graph> FindEdgeTag; |
| 1207 | 1207 |
Edge findEdge(const Node& u, const Node& v, |
| 1208 | 1208 |
const Edge& prev = INVALID) const {
|
| 1209 | 1209 |
Edge edge = Parent::findEdge(u, v, prev); |
| 1210 | 1210 |
while (edge != INVALID && !(*_edge_filter)[edge]) {
|
| 1211 | 1211 |
edge = Parent::findEdge(u, v, edge); |
| 1212 | 1212 |
} |
| 1213 | 1213 |
return edge; |
| 1214 | 1214 |
} |
| 1215 | 1215 |
|
| 1216 | 1216 |
template <typename V> |
| 1217 | 1217 |
class NodeMap |
| 1218 | 1218 |
: public SubMapExtender<SubGraphBase<GR, NF, EF, false>, |
| 1219 | 1219 |
LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, NodeMap<V>)> {
|
| 1220 | 1220 |
typedef SubMapExtender<SubGraphBase<GR, NF, EF, false>, |
| 1221 | 1221 |
LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, NodeMap<V>)> Parent; |
| 1222 | 1222 |
|
| 1223 | 1223 |
public: |
| 1224 | 1224 |
typedef V Value; |
| 1225 | 1225 |
|
| 1226 | 1226 |
NodeMap(const SubGraphBase<GR, NF, EF, false>& adaptor) |
| 1227 | 1227 |
: Parent(adaptor) {}
|
| 1228 | 1228 |
NodeMap(const SubGraphBase<GR, NF, EF, false>& adaptor, const V& value) |
| 1229 | 1229 |
: Parent(adaptor, value) {}
|
| 1230 | 1230 |
|
| 1231 | 1231 |
private: |
| 1232 | 1232 |
NodeMap& operator=(const NodeMap& cmap) {
|
| 1233 | 1233 |
return operator=<NodeMap>(cmap); |
| 1234 | 1234 |
} |
| 1235 | 1235 |
|
| 1236 | 1236 |
template <typename CMap> |
| 1237 | 1237 |
NodeMap& operator=(const CMap& cmap) {
|
| 1238 | 1238 |
Parent::operator=(cmap); |
| 1239 | 1239 |
return *this; |
| 1240 | 1240 |
} |
| 1241 | 1241 |
}; |
| 1242 | 1242 |
|
| 1243 | 1243 |
template <typename V> |
| 1244 | 1244 |
class ArcMap |
| 1245 | 1245 |
: public SubMapExtender<SubGraphBase<GR, NF, EF, false>, |
| 1246 | 1246 |
LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, ArcMap<V>)> {
|
| 1247 | 1247 |
typedef SubMapExtender<SubGraphBase<GR, NF, EF, false>, |
| 1248 | 1248 |
LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, ArcMap<V>)> Parent; |
| 1249 | 1249 |
|
| 1250 | 1250 |
public: |
| 1251 | 1251 |
typedef V Value; |
| 1252 | 1252 |
|
| 1253 | 1253 |
ArcMap(const SubGraphBase<GR, NF, EF, false>& adaptor) |
| 1254 | 1254 |
: Parent(adaptor) {}
|
| 1255 | 1255 |
ArcMap(const SubGraphBase<GR, NF, EF, false>& adaptor, const V& value) |
| 1256 | 1256 |
: Parent(adaptor, value) {}
|
| 1257 | 1257 |
|
| 1258 | 1258 |
private: |
| 1259 | 1259 |
ArcMap& operator=(const ArcMap& cmap) {
|
| 1260 | 1260 |
return operator=<ArcMap>(cmap); |
| 1261 | 1261 |
} |
| 1262 | 1262 |
|
| 1263 | 1263 |
template <typename CMap> |
| 1264 | 1264 |
ArcMap& operator=(const CMap& cmap) {
|
| 1265 | 1265 |
Parent::operator=(cmap); |
| 1266 | 1266 |
return *this; |
| 1267 | 1267 |
} |
| 1268 | 1268 |
}; |
| 1269 | 1269 |
|
| 1270 | 1270 |
template <typename V> |
| 1271 | 1271 |
class EdgeMap |
| 1272 | 1272 |
: public SubMapExtender<SubGraphBase<GR, NF, EF, false>, |
| 1273 | 1273 |
LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, EdgeMap<V>)> {
|
| 1274 | 1274 |
typedef SubMapExtender<SubGraphBase<GR, NF, EF, false>, |
| 1275 | 1275 |
LEMON_SCOPE_FIX(GraphAdaptorBase<GR>, EdgeMap<V>)> Parent; |
| 1276 | 1276 |
|
| 1277 | 1277 |
public: |
| 1278 | 1278 |
typedef V Value; |
| 1279 | 1279 |
|
| 1280 | 1280 |
EdgeMap(const SubGraphBase<GR, NF, EF, false>& adaptor) |
| 1281 | 1281 |
: Parent(adaptor) {}
|
| 1282 | 1282 |
|
| 1283 | 1283 |
EdgeMap(const SubGraphBase<GR, NF, EF, false>& adaptor, const V& value) |
| 1284 | 1284 |
: Parent(adaptor, value) {}
|
| 1285 | 1285 |
|
| 1286 | 1286 |
private: |
| 1287 | 1287 |
EdgeMap& operator=(const EdgeMap& cmap) {
|
| 1288 | 1288 |
return operator=<EdgeMap>(cmap); |
| 1289 | 1289 |
} |
| 1290 | 1290 |
|
| 1291 | 1291 |
template <typename CMap> |
| 1292 | 1292 |
EdgeMap& operator=(const CMap& cmap) {
|
| 1293 | 1293 |
Parent::operator=(cmap); |
| 1294 | 1294 |
return *this; |
| 1295 | 1295 |
} |
| 1296 | 1296 |
}; |
| 1297 | 1297 |
|
| 1298 | 1298 |
}; |
| 1299 | 1299 |
|
| 1300 | 1300 |
/// \ingroup graph_adaptors |
| 1301 | 1301 |
/// |
| 1302 | 1302 |
/// \brief Adaptor class for hiding nodes and edges in an undirected |
| 1303 | 1303 |
/// graph. |
| 1304 | 1304 |
/// |
| 1305 | 1305 |
/// SubGraph can be used for hiding nodes and edges in a graph. |
| 1306 | 1306 |
/// A \c bool node map and a \c bool edge map must be specified, which |
| 1307 | 1307 |
/// define the filters for nodes and edges. |
| 1308 | 1308 |
/// Only the nodes and edges with \c true filter value are |
| 1309 | 1309 |
/// shown in the subgraph. The edges that are incident to hidden |
| 1310 | 1310 |
/// nodes are also filtered out. |
| 1311 | 1311 |
/// This adaptor conforms to the \ref concepts::Graph "Graph" concept. |
| 1312 | 1312 |
/// |
| 1313 | 1313 |
/// The adapted graph can also be modified through this adaptor |
| 1314 | 1314 |
/// by adding or removing nodes or edges, unless the \c GR template |
| 1315 | 1315 |
/// parameter is set to be \c const. |
| 1316 | 1316 |
/// |
| 1317 | 1317 |
/// \tparam GR The type of the adapted graph. |
| 1318 | 1318 |
/// It must conform to the \ref concepts::Graph "Graph" concept. |
| 1319 | 1319 |
/// It can also be specified to be \c const. |
| 1320 | 1320 |
/// \tparam NF The type of the node filter map. |
| 1321 | 1321 |
/// It must be a \c bool (or convertible) node map of the |
| 1322 | 1322 |
/// adapted graph. The default type is |
| 1323 | 1323 |
/// \ref concepts::Graph::NodeMap "GR::NodeMap<bool>". |
| 1324 | 1324 |
/// \tparam EF The type of the edge filter map. |
| 1325 | 1325 |
/// It must be a \c bool (or convertible) edge map of the |
| 1326 | 1326 |
/// adapted graph. The default type is |
| 1327 | 1327 |
/// \ref concepts::Graph::EdgeMap "GR::EdgeMap<bool>". |
| 1328 | 1328 |
/// |
| 1329 | 1329 |
/// \note The \c Node, \c Edge and \c Arc types of this adaptor and the |
| 1330 | 1330 |
/// adapted graph are convertible to each other. |
| 1331 | 1331 |
/// |
| 1332 | 1332 |
/// \see FilterNodes |
| 1333 | 1333 |
/// \see FilterEdges |
| 1334 | 1334 |
#ifdef DOXYGEN |
| 1335 | 1335 |
template<typename GR, typename NF, typename EF> |
| 1336 | 1336 |
class SubGraph {
|
| 1337 | 1337 |
#else |
| 1338 | 1338 |
template<typename GR, |
| 1339 | 1339 |
typename NF = typename GR::template NodeMap<bool>, |
| 1340 | 1340 |
typename EF = typename GR::template EdgeMap<bool> > |
| 1341 | 1341 |
class SubGraph : |
| 1342 | 1342 |
public GraphAdaptorExtender<SubGraphBase<GR, NF, EF, true> > {
|
| 1343 | 1343 |
#endif |
| 1344 | 1344 |
public: |
| 1345 | 1345 |
/// The type of the adapted graph. |
| 1346 | 1346 |
typedef GR Graph; |
| 1347 | 1347 |
/// The type of the node filter map. |
| 1348 | 1348 |
typedef NF NodeFilterMap; |
| 1349 | 1349 |
/// The type of the edge filter map. |
| 1350 | 1350 |
typedef EF EdgeFilterMap; |
| 1351 | 1351 |
|
| 1352 | 1352 |
typedef GraphAdaptorExtender<SubGraphBase<GR, NF, EF, true> > |
| 1353 | 1353 |
Parent; |
| 1354 | 1354 |
|
| 1355 | 1355 |
typedef typename Parent::Node Node; |
| 1356 | 1356 |
typedef typename Parent::Edge Edge; |
| 1357 | 1357 |
|
| 1358 | 1358 |
protected: |
| 1359 | 1359 |
SubGraph() { }
|
| 1360 | 1360 |
public: |
| 1361 | 1361 |
|
| 1362 | 1362 |
/// \brief Constructor |
| 1363 | 1363 |
/// |
| 1364 | 1364 |
/// Creates a subgraph for the given graph with the given node |
| 1365 | 1365 |
/// and edge filter maps. |
| 1366 | 1366 |
SubGraph(GR& graph, NF& node_filter, EF& edge_filter) {
|
| 1367 | 1367 |
initialize(graph, node_filter, edge_filter); |
| 1368 | 1368 |
} |
| 1369 | 1369 |
|
| 1370 | 1370 |
/// \brief Sets the status of the given node |
| 1371 | 1371 |
/// |
| 1372 | 1372 |
/// This function sets the status of the given node. |
| 1373 | 1373 |
/// It is done by simply setting the assigned value of \c n |
| 1374 | 1374 |
/// to \c v in the node filter map. |
| 1375 | 1375 |
void status(const Node& n, bool v) const { Parent::status(n, v); }
|
| 1376 | 1376 |
|
| 1377 | 1377 |
/// \brief Sets the status of the given edge |
| 1378 | 1378 |
/// |
| 1379 | 1379 |
/// This function sets the status of the given edge. |
| 1380 | 1380 |
/// It is done by simply setting the assigned value of \c e |
| 1381 | 1381 |
/// to \c v in the edge filter map. |
| 1382 | 1382 |
void status(const Edge& e, bool v) const { Parent::status(e, v); }
|
| 1383 | 1383 |
|
| 1384 | 1384 |
/// \brief Returns the status of the given node |
| 1385 | 1385 |
/// |
| 1386 | 1386 |
/// This function returns the status of the given node. |
| 1387 | 1387 |
/// It is \c true if the given node is enabled (i.e. not hidden). |
| 1388 | 1388 |
bool status(const Node& n) const { return Parent::status(n); }
|
| 1389 | 1389 |
|
| 1390 | 1390 |
/// \brief Returns the status of the given edge |
| 1391 | 1391 |
/// |
| 1392 | 1392 |
/// This function returns the status of the given edge. |
| 1393 | 1393 |
/// It is \c true if the given edge is enabled (i.e. not hidden). |
| 1394 | 1394 |
bool status(const Edge& e) const { return Parent::status(e); }
|
| 1395 | 1395 |
|
| 1396 | 1396 |
/// \brief Disables the given node |
| 1397 | 1397 |
/// |
| 1398 | 1398 |
/// This function disables the given node in the subdigraph, |
| 1399 | 1399 |
/// so the iteration jumps over it. |
| 1400 | 1400 |
/// It is the same as \ref status() "status(n, false)". |
| 1401 | 1401 |
void disable(const Node& n) const { Parent::status(n, false); }
|
| 1402 | 1402 |
|
| 1403 | 1403 |
/// \brief Disables the given edge |
| 1404 | 1404 |
/// |
| 1405 | 1405 |
/// This function disables the given edge in the subgraph, |
| 1406 | 1406 |
/// so the iteration jumps over it. |
| 1407 | 1407 |
/// It is the same as \ref status() "status(e, false)". |
| 1408 | 1408 |
void disable(const Edge& e) const { Parent::status(e, false); }
|
| 1409 | 1409 |
|
| 1410 | 1410 |
/// \brief Enables the given node |
| 1411 | 1411 |
/// |
| 1412 | 1412 |
/// This function enables the given node in the subdigraph. |
| 1413 | 1413 |
/// It is the same as \ref status() "status(n, true)". |
| 1414 | 1414 |
void enable(const Node& n) const { Parent::status(n, true); }
|
| 1415 | 1415 |
|
| 1416 | 1416 |
/// \brief Enables the given edge |
| 1417 | 1417 |
/// |
| 1418 | 1418 |
/// This function enables the given edge in the subgraph. |
| 1419 | 1419 |
/// It is the same as \ref status() "status(e, true)". |
| 1420 | 1420 |
void enable(const Edge& e) const { Parent::status(e, true); }
|
| 1421 | 1421 |
|
| 1422 | 1422 |
}; |
| 1423 | 1423 |
|
| 1424 | 1424 |
/// \brief Returns a read-only SubGraph adaptor |
| 1425 | 1425 |
/// |
| 1426 | 1426 |
/// This function just returns a read-only \ref SubGraph adaptor. |
| 1427 | 1427 |
/// \ingroup graph_adaptors |
| 1428 | 1428 |
/// \relates SubGraph |
| 1429 | 1429 |
template<typename GR, typename NF, typename EF> |
| 1430 | 1430 |
SubGraph<const GR, NF, EF> |
| 1431 | 1431 |
subGraph(const GR& graph, NF& node_filter, EF& edge_filter) {
|
| 1432 | 1432 |
return SubGraph<const GR, NF, EF> |
| 1433 | 1433 |
(graph, node_filter, edge_filter); |
| 1434 | 1434 |
} |
| 1435 | 1435 |
|
| 1436 | 1436 |
template<typename GR, typename NF, typename EF> |
| 1437 | 1437 |
SubGraph<const GR, const NF, EF> |
| 1438 | 1438 |
subGraph(const GR& graph, const NF& node_filter, EF& edge_filter) {
|
| 1439 | 1439 |
return SubGraph<const GR, const NF, EF> |
| 1440 | 1440 |
(graph, node_filter, edge_filter); |
| 1441 | 1441 |
} |
| 1442 | 1442 |
|
| 1443 | 1443 |
template<typename GR, typename NF, typename EF> |
| 1444 | 1444 |
SubGraph<const GR, NF, const EF> |
| 1445 | 1445 |
subGraph(const GR& graph, NF& node_filter, const EF& edge_filter) {
|
| 1446 | 1446 |
return SubGraph<const GR, NF, const EF> |
| 1447 | 1447 |
(graph, node_filter, edge_filter); |
| 1448 | 1448 |
} |
| 1449 | 1449 |
|
| 1450 | 1450 |
template<typename GR, typename NF, typename EF> |
| 1451 | 1451 |
SubGraph<const GR, const NF, const EF> |
| 1452 | 1452 |
subGraph(const GR& graph, const NF& node_filter, const EF& edge_filter) {
|
| 1453 | 1453 |
return SubGraph<const GR, const NF, const EF> |
| 1454 | 1454 |
(graph, node_filter, edge_filter); |
| 1455 | 1455 |
} |
| 1456 | 1456 |
|
| 1457 | 1457 |
|
| 1458 | 1458 |
/// \ingroup graph_adaptors |
| 1459 | 1459 |
/// |
| 1460 | 1460 |
/// \brief Adaptor class for hiding nodes in a digraph or a graph. |
| 1461 | 1461 |
/// |
| 1462 | 1462 |
/// FilterNodes adaptor can be used for hiding nodes in a digraph or a |
| 1463 | 1463 |
/// graph. A \c bool node map must be specified, which defines the filter |
| 1464 | 1464 |
/// for the nodes. Only the nodes with \c true filter value and the |
| 1465 | 1465 |
/// arcs/edges incident to nodes both with \c true filter value are shown |
| 1466 | 1466 |
/// in the subgraph. This adaptor conforms to the \ref concepts::Digraph |
| 1467 | 1467 |
/// "Digraph" concept or the \ref concepts::Graph "Graph" concept |
| 1468 | 1468 |
/// depending on the \c GR template parameter. |
| 1469 | 1469 |
/// |
| 1470 | 1470 |
/// The adapted (di)graph can also be modified through this adaptor |
| 1471 | 1471 |
/// by adding or removing nodes or arcs/edges, unless the \c GR template |
| 1472 | 1472 |
/// parameter is set to be \c const. |
| 1473 | 1473 |
/// |
| 1474 | 1474 |
/// \tparam GR The type of the adapted digraph or graph. |
| 1475 | 1475 |
/// It must conform to the \ref concepts::Digraph "Digraph" concept |
| 1476 | 1476 |
/// or the \ref concepts::Graph "Graph" concept. |
| 1477 | 1477 |
/// It can also be specified to be \c const. |
| 1478 | 1478 |
/// \tparam NF The type of the node filter map. |
| 1479 | 1479 |
/// It must be a \c bool (or convertible) node map of the |
| 1480 | 1480 |
/// adapted (di)graph. The default type is |
| 1481 | 1481 |
/// \ref concepts::Graph::NodeMap "GR::NodeMap<bool>". |
| 1482 | 1482 |
/// |
| 1483 | 1483 |
/// \note The \c Node and <tt>Arc/Edge</tt> types of this adaptor and the |
| 1484 | 1484 |
/// adapted (di)graph are convertible to each other. |
| 1485 | 1485 |
#ifdef DOXYGEN |
| 1486 | 1486 |
template<typename GR, typename NF> |
| 1487 | 1487 |
class FilterNodes {
|
| 1488 | 1488 |
#else |
| 1489 | 1489 |
template<typename GR, |
| 1490 | 1490 |
typename NF = typename GR::template NodeMap<bool>, |
| 1491 | 1491 |
typename Enable = void> |
| 1492 | 1492 |
class FilterNodes : |
| 1493 | 1493 |
public DigraphAdaptorExtender< |
| 1494 | 1494 |
SubDigraphBase<GR, NF, ConstMap<typename GR::Arc, Const<bool, true> >, |
| 1495 | 1495 |
true> > {
|
| 1496 | 1496 |
#endif |
| 1497 | 1497 |
typedef DigraphAdaptorExtender< |
| 1498 | 1498 |
SubDigraphBase<GR, NF, ConstMap<typename GR::Arc, Const<bool, true> >, |
| 1499 | 1499 |
true> > Parent; |
| 1500 | 1500 |
|
| 1501 | 1501 |
public: |
| 1502 | 1502 |
|
| 1503 | 1503 |
typedef GR Digraph; |
| 1504 | 1504 |
typedef NF NodeFilterMap; |
| 1505 | 1505 |
|
| 1506 | 1506 |
typedef typename Parent::Node Node; |
| 1507 | 1507 |
|
| 1508 | 1508 |
protected: |
| 1509 | 1509 |
ConstMap<typename Digraph::Arc, Const<bool, true> > const_true_map; |
| 1510 | 1510 |
|
| 1511 | 1511 |
FilterNodes() : const_true_map() {}
|
| 1512 | 1512 |
|
| 1513 | 1513 |
public: |
| 1514 | 1514 |
|
| 1515 | 1515 |
/// \brief Constructor |
| 1516 | 1516 |
/// |
| 1517 | 1517 |
/// Creates a subgraph for the given digraph or graph with the |
| 1518 | 1518 |
/// given node filter map. |
| 1519 | 1519 |
FilterNodes(GR& graph, NF& node_filter) |
| 1520 | 1520 |
: Parent(), const_true_map() |
| 1521 | 1521 |
{
|
| 1522 | 1522 |
Parent::initialize(graph, node_filter, const_true_map); |
| 1523 | 1523 |
} |
| 1524 | 1524 |
|
| 1525 | 1525 |
/// \brief Sets the status of the given node |
| 1526 | 1526 |
/// |
| 1527 | 1527 |
/// This function sets the status of the given node. |
| 1528 | 1528 |
/// It is done by simply setting the assigned value of \c n |
| 1529 | 1529 |
/// to \c v in the node filter map. |
| 1530 | 1530 |
void status(const Node& n, bool v) const { Parent::status(n, v); }
|
| 1531 | 1531 |
|
| 1532 | 1532 |
/// \brief Returns the status of the given node |
| 1533 | 1533 |
/// |
| 1534 | 1534 |
/// This function returns the status of the given node. |
| 1535 | 1535 |
/// It is \c true if the given node is enabled (i.e. not hidden). |
| 1536 | 1536 |
bool status(const Node& n) const { return Parent::status(n); }
|
| 1537 | 1537 |
|
| 1538 | 1538 |
/// \brief Disables the given node |
| 1539 | 1539 |
/// |
| 1540 | 1540 |
/// This function disables the given node, so the iteration |
| 1541 | 1541 |
/// jumps over it. |
| 1542 | 1542 |
/// It is the same as \ref status() "status(n, false)". |
| 1543 | 1543 |
void disable(const Node& n) const { Parent::status(n, false); }
|
| 1544 | 1544 |
|
| 1545 | 1545 |
/// \brief Enables the given node |
| 1546 | 1546 |
/// |
| 1547 | 1547 |
/// This function enables the given node. |
| 1548 | 1548 |
/// It is the same as \ref status() "status(n, true)". |
| 1549 | 1549 |
void enable(const Node& n) const { Parent::status(n, true); }
|
| 1550 | 1550 |
|
| 1551 | 1551 |
}; |
| 1552 | 1552 |
|
| 1553 | 1553 |
template<typename GR, typename NF> |
| 1554 | 1554 |
class FilterNodes<GR, NF, |
| 1555 | 1555 |
typename enable_if<UndirectedTagIndicator<GR> >::type> : |
| 1556 | 1556 |
public GraphAdaptorExtender< |
| 1557 | 1557 |
SubGraphBase<GR, NF, ConstMap<typename GR::Edge, Const<bool, true> >, |
| 1558 | 1558 |
true> > {
|
| 1559 | 1559 |
|
| 1560 | 1560 |
typedef GraphAdaptorExtender< |
| 1561 | 1561 |
SubGraphBase<GR, NF, ConstMap<typename GR::Edge, Const<bool, true> >, |
| 1562 | 1562 |
true> > Parent; |
| 1563 | 1563 |
|
| 1564 | 1564 |
public: |
| 1565 | 1565 |
|
| 1566 | 1566 |
typedef GR Graph; |
| 1567 | 1567 |
typedef NF NodeFilterMap; |
| 1568 | 1568 |
|
| 1569 | 1569 |
typedef typename Parent::Node Node; |
| 1570 | 1570 |
|
| 1571 | 1571 |
protected: |
| 1572 | 1572 |
ConstMap<typename GR::Edge, Const<bool, true> > const_true_map; |
| 1573 | 1573 |
|
| 1574 | 1574 |
FilterNodes() : const_true_map() {}
|
| 1575 | 1575 |
|
| 1576 | 1576 |
public: |
| 1577 | 1577 |
|
| 1578 | 1578 |
FilterNodes(GR& graph, NodeFilterMap& node_filter) : |
| 1579 | 1579 |
Parent(), const_true_map() {
|
| 1580 | 1580 |
Parent::initialize(graph, node_filter, const_true_map); |
| 1581 | 1581 |
} |
| 1582 | 1582 |
|
| 1583 | 1583 |
void status(const Node& n, bool v) const { Parent::status(n, v); }
|
| 1584 | 1584 |
bool status(const Node& n) const { return Parent::status(n); }
|
| 1585 | 1585 |
void disable(const Node& n) const { Parent::status(n, false); }
|
| 1586 | 1586 |
void enable(const Node& n) const { Parent::status(n, true); }
|
| 1587 | 1587 |
|
| 1588 | 1588 |
}; |
| 1589 | 1589 |
|
| 1590 | 1590 |
|
| 1591 | 1591 |
/// \brief Returns a read-only FilterNodes adaptor |
| 1592 | 1592 |
/// |
| 1593 | 1593 |
/// This function just returns a read-only \ref FilterNodes adaptor. |
| 1594 | 1594 |
/// \ingroup graph_adaptors |
| 1595 | 1595 |
/// \relates FilterNodes |
| 1596 | 1596 |
template<typename GR, typename NF> |
| 1597 | 1597 |
FilterNodes<const GR, NF> |
| 1598 | 1598 |
filterNodes(const GR& graph, NF& node_filter) {
|
| 1599 | 1599 |
return FilterNodes<const GR, NF>(graph, node_filter); |
| 1600 | 1600 |
} |
| 1601 | 1601 |
|
| 1602 | 1602 |
template<typename GR, typename NF> |
| 1603 | 1603 |
FilterNodes<const GR, const NF> |
| 1604 | 1604 |
filterNodes(const GR& graph, const NF& node_filter) {
|
| 1605 | 1605 |
return FilterNodes<const GR, const NF>(graph, node_filter); |
| 1606 | 1606 |
} |
| 1607 | 1607 |
|
| 1608 | 1608 |
/// \ingroup graph_adaptors |
| 1609 | 1609 |
/// |
| 1610 | 1610 |
/// \brief Adaptor class for hiding arcs in a digraph. |
| 1611 | 1611 |
/// |
| 1612 | 1612 |
/// FilterArcs adaptor can be used for hiding arcs in a digraph. |
| 1613 | 1613 |
/// A \c bool arc map must be specified, which defines the filter for |
| 1614 | 1614 |
/// the arcs. Only the arcs with \c true filter value are shown in the |
| 1615 | 1615 |
/// subdigraph. This adaptor conforms to the \ref concepts::Digraph |
| 1616 | 1616 |
/// "Digraph" concept. |
| 1617 | 1617 |
/// |
| 1618 | 1618 |
/// The adapted digraph can also be modified through this adaptor |
| 1619 | 1619 |
/// by adding or removing nodes or arcs, unless the \c GR template |
| 1620 | 1620 |
/// parameter is set to be \c const. |
| 1621 | 1621 |
/// |
| 1622 | 1622 |
/// \tparam DGR The type of the adapted digraph. |
| 1623 | 1623 |
/// It must conform to the \ref concepts::Digraph "Digraph" concept. |
| 1624 | 1624 |
/// It can also be specified to be \c const. |
| 1625 | 1625 |
/// \tparam AF The type of the arc filter map. |
| 1626 | 1626 |
/// It must be a \c bool (or convertible) arc map of the |
| 1627 | 1627 |
/// adapted digraph. The default type is |
| 1628 | 1628 |
/// \ref concepts::Digraph::ArcMap "DGR::ArcMap<bool>". |
| 1629 | 1629 |
/// |
| 1630 | 1630 |
/// \note The \c Node and \c Arc types of this adaptor and the adapted |
| 1631 | 1631 |
/// digraph are convertible to each other. |
| 1632 | 1632 |
#ifdef DOXYGEN |
| 1633 | 1633 |
template<typename DGR, |
| 1634 | 1634 |
typename AF> |
| 1635 | 1635 |
class FilterArcs {
|
| 1636 | 1636 |
#else |
| 1637 | 1637 |
template<typename DGR, |
| 1638 | 1638 |
typename AF = typename DGR::template ArcMap<bool> > |
| 1639 | 1639 |
class FilterArcs : |
| 1640 | 1640 |
public DigraphAdaptorExtender< |
| 1641 | 1641 |
SubDigraphBase<DGR, ConstMap<typename DGR::Node, Const<bool, true> >, |
| 1642 | 1642 |
AF, false> > {
|
| 1643 | 1643 |
#endif |
| 1644 | 1644 |
typedef DigraphAdaptorExtender< |
| 1645 | 1645 |
SubDigraphBase<DGR, ConstMap<typename DGR::Node, Const<bool, true> >, |
| 1646 | 1646 |
AF, false> > Parent; |
| 1647 | 1647 |
|
| 1648 | 1648 |
public: |
| 1649 | 1649 |
|
| 1650 | 1650 |
/// The type of the adapted digraph. |
| 1651 | 1651 |
typedef DGR Digraph; |
| 1652 | 1652 |
/// The type of the arc filter map. |
| 1653 | 1653 |
typedef AF ArcFilterMap; |
| 1654 | 1654 |
|
| 1655 | 1655 |
typedef typename Parent::Arc Arc; |
| 1656 | 1656 |
|
| 1657 | 1657 |
protected: |
| 1658 | 1658 |
ConstMap<typename DGR::Node, Const<bool, true> > const_true_map; |
| 1659 | 1659 |
|
| 1660 | 1660 |
FilterArcs() : const_true_map() {}
|
| 1661 | 1661 |
|
| 1662 | 1662 |
public: |
| 1663 | 1663 |
|
| 1664 | 1664 |
/// \brief Constructor |
| 1665 | 1665 |
/// |
| 1666 | 1666 |
/// Creates a subdigraph for the given digraph with the given arc |
| 1667 | 1667 |
/// filter map. |
| 1668 | 1668 |
FilterArcs(DGR& digraph, ArcFilterMap& arc_filter) |
| 1669 | 1669 |
: Parent(), const_true_map() {
|
| 1670 | 1670 |
Parent::initialize(digraph, const_true_map, arc_filter); |
| 1671 | 1671 |
} |
| 1672 | 1672 |
|
| 1673 | 1673 |
/// \brief Sets the status of the given arc |
| 1674 | 1674 |
/// |
| 1675 | 1675 |
/// This function sets the status of the given arc. |
| 1676 | 1676 |
/// It is done by simply setting the assigned value of \c a |
| 1677 | 1677 |
/// to \c v in the arc filter map. |
| 1678 | 1678 |
void status(const Arc& a, bool v) const { Parent::status(a, v); }
|
| 1679 | 1679 |
|
| 1680 | 1680 |
/// \brief Returns the status of the given arc |
| 1681 | 1681 |
/// |
| 1682 | 1682 |
/// This function returns the status of the given arc. |
| 1683 | 1683 |
/// It is \c true if the given arc is enabled (i.e. not hidden). |
| 1684 | 1684 |
bool status(const Arc& a) const { return Parent::status(a); }
|
| 1685 | 1685 |
|
| 1686 | 1686 |
/// \brief Disables the given arc |
| 1687 | 1687 |
/// |
| 1688 | 1688 |
/// This function disables the given arc in the subdigraph, |
| 1689 | 1689 |
/// so the iteration jumps over it. |
| 1690 | 1690 |
/// It is the same as \ref status() "status(a, false)". |
| 1691 | 1691 |
void disable(const Arc& a) const { Parent::status(a, false); }
|
| 1692 | 1692 |
|
| 1693 | 1693 |
/// \brief Enables the given arc |
| 1694 | 1694 |
/// |
| 1695 | 1695 |
/// This function enables the given arc in the subdigraph. |
| 1696 | 1696 |
/// It is the same as \ref status() "status(a, true)". |
| 1697 | 1697 |
void enable(const Arc& a) const { Parent::status(a, true); }
|
| 1698 | 1698 |
|
| 1699 | 1699 |
}; |
| 1700 | 1700 |
|
| 1701 | 1701 |
/// \brief Returns a read-only FilterArcs adaptor |
| 1702 | 1702 |
/// |
| 1703 | 1703 |
/// This function just returns a read-only \ref FilterArcs adaptor. |
| 1704 | 1704 |
/// \ingroup graph_adaptors |
| 1705 | 1705 |
/// \relates FilterArcs |
| 1706 | 1706 |
template<typename DGR, typename AF> |
| 1707 | 1707 |
FilterArcs<const DGR, AF> |
| 1708 | 1708 |
filterArcs(const DGR& digraph, AF& arc_filter) {
|
| 1709 | 1709 |
return FilterArcs<const DGR, AF>(digraph, arc_filter); |
| 1710 | 1710 |
} |
| 1711 | 1711 |
|
| 1712 | 1712 |
template<typename DGR, typename AF> |
| 1713 | 1713 |
FilterArcs<const DGR, const AF> |
| 1714 | 1714 |
filterArcs(const DGR& digraph, const AF& arc_filter) {
|
| 1715 | 1715 |
return FilterArcs<const DGR, const AF>(digraph, arc_filter); |
| 1716 | 1716 |
} |
| 1717 | 1717 |
|
| 1718 | 1718 |
/// \ingroup graph_adaptors |
| 1719 | 1719 |
/// |
| 1720 | 1720 |
/// \brief Adaptor class for hiding edges in a graph. |
| 1721 | 1721 |
/// |
| 1722 | 1722 |
/// FilterEdges adaptor can be used for hiding edges in a graph. |
| 1723 | 1723 |
/// A \c bool edge map must be specified, which defines the filter for |
| 1724 | 1724 |
/// the edges. Only the edges with \c true filter value are shown in the |
| 1725 | 1725 |
/// subgraph. This adaptor conforms to the \ref concepts::Graph |
| 1726 | 1726 |
/// "Graph" concept. |
| 1727 | 1727 |
/// |
| 1728 | 1728 |
/// The adapted graph can also be modified through this adaptor |
| 1729 | 1729 |
/// by adding or removing nodes or edges, unless the \c GR template |
| 1730 | 1730 |
/// parameter is set to be \c const. |
| 1731 | 1731 |
/// |
| 1732 | 1732 |
/// \tparam GR The type of the adapted graph. |
| 1733 | 1733 |
/// It must conform to the \ref concepts::Graph "Graph" concept. |
| 1734 | 1734 |
/// It can also be specified to be \c const. |
| 1735 | 1735 |
/// \tparam EF The type of the edge filter map. |
| 1736 | 1736 |
/// It must be a \c bool (or convertible) edge map of the |
| 1737 | 1737 |
/// adapted graph. The default type is |
| 1738 | 1738 |
/// \ref concepts::Graph::EdgeMap "GR::EdgeMap<bool>". |
| 1739 | 1739 |
/// |
| 1740 | 1740 |
/// \note The \c Node, \c Edge and \c Arc types of this adaptor and the |
| 1741 | 1741 |
/// adapted graph are convertible to each other. |
| 1742 | 1742 |
#ifdef DOXYGEN |
| 1743 | 1743 |
template<typename GR, |
| 1744 | 1744 |
typename EF> |
| 1745 | 1745 |
class FilterEdges {
|
| 1746 | 1746 |
#else |
| 1747 | 1747 |
template<typename GR, |
| 1748 | 1748 |
typename EF = typename GR::template EdgeMap<bool> > |
| 1749 | 1749 |
class FilterEdges : |
| 1750 | 1750 |
public GraphAdaptorExtender< |
| 1751 | 1751 |
SubGraphBase<GR, ConstMap<typename GR::Node, Const<bool, true> >, |
| 1752 | 1752 |
EF, false> > {
|
| 1753 | 1753 |
#endif |
| 1754 | 1754 |
typedef GraphAdaptorExtender< |
| 1755 | 1755 |
SubGraphBase<GR, ConstMap<typename GR::Node, Const<bool, true > >, |
| 1756 | 1756 |
EF, false> > Parent; |
| 1757 | 1757 |
|
| 1758 | 1758 |
public: |
| 1759 | 1759 |
|
| 1760 | 1760 |
/// The type of the adapted graph. |
| 1761 | 1761 |
typedef GR Graph; |
| 1762 | 1762 |
/// The type of the edge filter map. |
| 1763 | 1763 |
typedef EF EdgeFilterMap; |
| 1764 | 1764 |
|
| 1765 | 1765 |
typedef typename Parent::Edge Edge; |
| 1766 | 1766 |
|
| 1767 | 1767 |
protected: |
| 1768 | 1768 |
ConstMap<typename GR::Node, Const<bool, true> > const_true_map; |
| 1769 | 1769 |
|
| 1770 | 1770 |
FilterEdges() : const_true_map(true) {
|
| 1771 | 1771 |
Parent::setNodeFilterMap(const_true_map); |
| 1772 | 1772 |
} |
| 1773 | 1773 |
|
| 1774 | 1774 |
public: |
| 1775 | 1775 |
|
| 1776 | 1776 |
/// \brief Constructor |
| 1777 | 1777 |
/// |
| 1778 | 1778 |
/// Creates a subgraph for the given graph with the given edge |
| 1779 | 1779 |
/// filter map. |
| 1780 | 1780 |
FilterEdges(GR& graph, EF& edge_filter) |
| 1781 | 1781 |
: Parent(), const_true_map() {
|
| 1782 | 1782 |
Parent::initialize(graph, const_true_map, edge_filter); |
| 1783 | 1783 |
} |
| 1784 | 1784 |
|
| 1785 | 1785 |
/// \brief Sets the status of the given edge |
| 1786 | 1786 |
/// |
| 1787 | 1787 |
/// This function sets the status of the given edge. |
| 1788 | 1788 |
/// It is done by simply setting the assigned value of \c e |
| 1789 | 1789 |
/// to \c v in the edge filter map. |
| 1790 | 1790 |
void status(const Edge& e, bool v) const { Parent::status(e, v); }
|
| 1791 | 1791 |
|
| 1792 | 1792 |
/// \brief Returns the status of the given edge |
| 1793 | 1793 |
/// |
| 1794 | 1794 |
/// This function returns the status of the given edge. |
| 1795 | 1795 |
/// It is \c true if the given edge is enabled (i.e. not hidden). |
| 1796 | 1796 |
bool status(const Edge& e) const { return Parent::status(e); }
|
| 1797 | 1797 |
|
| 1798 | 1798 |
/// \brief Disables the given edge |
| 1799 | 1799 |
/// |
| 1800 | 1800 |
/// This function disables the given edge in the subgraph, |
| 1801 | 1801 |
/// so the iteration jumps over it. |
| 1802 | 1802 |
/// It is the same as \ref status() "status(e, false)". |
| 1803 | 1803 |
void disable(const Edge& e) const { Parent::status(e, false); }
|
| 1804 | 1804 |
|
| 1805 | 1805 |
/// \brief Enables the given edge |
| 1806 | 1806 |
/// |
| 1807 | 1807 |
/// This function enables the given edge in the subgraph. |
| 1808 | 1808 |
/// It is the same as \ref status() "status(e, true)". |
| 1809 | 1809 |
void enable(const Edge& e) const { Parent::status(e, true); }
|
| 1810 | 1810 |
|
| 1811 | 1811 |
}; |
| 1812 | 1812 |
|
| 1813 | 1813 |
/// \brief Returns a read-only FilterEdges adaptor |
| 1814 | 1814 |
/// |
| 1815 | 1815 |
/// This function just returns a read-only \ref FilterEdges adaptor. |
| 1816 | 1816 |
/// \ingroup graph_adaptors |
| 1817 | 1817 |
/// \relates FilterEdges |
| 1818 | 1818 |
template<typename GR, typename EF> |
| 1819 | 1819 |
FilterEdges<const GR, EF> |
| 1820 | 1820 |
filterEdges(const GR& graph, EF& edge_filter) {
|
| 1821 | 1821 |
return FilterEdges<const GR, EF>(graph, edge_filter); |
| 1822 | 1822 |
} |
| 1823 | 1823 |
|
| 1824 | 1824 |
template<typename GR, typename EF> |
| 1825 | 1825 |
FilterEdges<const GR, const EF> |
| 1826 | 1826 |
filterEdges(const GR& graph, const EF& edge_filter) {
|
| 1827 | 1827 |
return FilterEdges<const GR, const EF>(graph, edge_filter); |
| 1828 | 1828 |
} |
| 1829 | 1829 |
|
| 1830 | 1830 |
|
| 1831 | 1831 |
template <typename DGR> |
| 1832 | 1832 |
class UndirectorBase {
|
| 1833 | 1833 |
public: |
| 1834 | 1834 |
typedef DGR Digraph; |
| 1835 | 1835 |
typedef UndirectorBase Adaptor; |
| 1836 | 1836 |
|
| 1837 | 1837 |
typedef True UndirectedTag; |
| 1838 | 1838 |
|
| 1839 | 1839 |
typedef typename Digraph::Arc Edge; |
| 1840 | 1840 |
typedef typename Digraph::Node Node; |
| 1841 | 1841 |
|
| 1842 |
class Arc |
|
| 1842 |
class Arc {
|
|
| 1843 | 1843 |
friend class UndirectorBase; |
| 1844 | 1844 |
protected: |
| 1845 |
Edge _edge; |
|
| 1845 | 1846 |
bool _forward; |
| 1846 | 1847 |
|
| 1847 |
Arc(const Edge& edge, bool forward) : |
|
| 1848 |
Edge(edge), _forward(forward) {}
|
|
| 1848 |
Arc(const Edge& edge, bool forward) |
|
| 1849 |
: _edge(edge), _forward(forward) {}
|
|
| 1849 | 1850 |
|
| 1850 | 1851 |
public: |
| 1851 | 1852 |
Arc() {}
|
| 1852 | 1853 |
|
| 1853 |
Arc(Invalid) : |
|
| 1854 |
Arc(Invalid) : _edge(INVALID), _forward(true) {}
|
|
| 1855 |
|
|
| 1856 |
operator const Edge&() const { return _edge; }
|
|
| 1854 | 1857 |
|
| 1855 | 1858 |
bool operator==(const Arc &other) const {
|
| 1856 |
return _forward == other._forward && |
|
| 1857 |
static_cast<const Edge&>(*this) == static_cast<const Edge&>(other); |
|
| 1859 |
return _forward == other._forward && _edge == other._edge; |
|
| 1858 | 1860 |
} |
| 1859 | 1861 |
bool operator!=(const Arc &other) const {
|
| 1860 |
return _forward != other._forward || |
|
| 1861 |
static_cast<const Edge&>(*this) != static_cast<const Edge&>(other); |
|
| 1862 |
return _forward != other._forward || _edge != other._edge; |
|
| 1862 | 1863 |
} |
| 1863 | 1864 |
bool operator<(const Arc &other) const {
|
| 1864 | 1865 |
return _forward < other._forward || |
| 1865 |
(_forward == other._forward && |
|
| 1866 |
static_cast<const Edge&>(*this) < static_cast<const Edge&>(other)); |
|
| 1866 |
(_forward == other._forward && _edge < other._edge); |
|
| 1867 | 1867 |
} |
| 1868 | 1868 |
}; |
| 1869 | 1869 |
|
| 1870 | 1870 |
void first(Node& n) const {
|
| 1871 | 1871 |
_digraph->first(n); |
| 1872 | 1872 |
} |
| 1873 | 1873 |
|
| 1874 | 1874 |
void next(Node& n) const {
|
| 1875 | 1875 |
_digraph->next(n); |
| 1876 | 1876 |
} |
| 1877 | 1877 |
|
| 1878 | 1878 |
void first(Arc& a) const {
|
| 1879 |
_digraph->first(a); |
|
| 1879 |
_digraph->first(a._edge); |
|
| 1880 | 1880 |
a._forward = true; |
| 1881 | 1881 |
} |
| 1882 | 1882 |
|
| 1883 | 1883 |
void next(Arc& a) const {
|
| 1884 | 1884 |
if (a._forward) {
|
| 1885 | 1885 |
a._forward = false; |
| 1886 | 1886 |
} else {
|
| 1887 |
_digraph->next(a); |
|
| 1887 |
_digraph->next(a._edge); |
|
| 1888 | 1888 |
a._forward = true; |
| 1889 | 1889 |
} |
| 1890 | 1890 |
} |
| 1891 | 1891 |
|
| 1892 | 1892 |
void first(Edge& e) const {
|
| 1893 | 1893 |
_digraph->first(e); |
| 1894 | 1894 |
} |
| 1895 | 1895 |
|
| 1896 | 1896 |
void next(Edge& e) const {
|
| 1897 | 1897 |
_digraph->next(e); |
| 1898 | 1898 |
} |
| 1899 | 1899 |
|
| 1900 | 1900 |
void firstOut(Arc& a, const Node& n) const {
|
| 1901 |
_digraph->firstIn(a, n); |
|
| 1902 |
if( static_cast<const Edge&>(a) != INVALID ) {
|
|
| 1901 |
_digraph->firstIn(a._edge, n); |
|
| 1902 |
if (a._edge != INVALID ) {
|
|
| 1903 | 1903 |
a._forward = false; |
| 1904 | 1904 |
} else {
|
| 1905 |
_digraph->firstOut(a, n); |
|
| 1905 |
_digraph->firstOut(a._edge, n); |
|
| 1906 | 1906 |
a._forward = true; |
| 1907 | 1907 |
} |
| 1908 | 1908 |
} |
| 1909 | 1909 |
void nextOut(Arc &a) const {
|
| 1910 | 1910 |
if (!a._forward) {
|
| 1911 |
Node n = _digraph->target(a); |
|
| 1912 |
_digraph->nextIn(a); |
|
| 1913 |
if (static_cast<const Edge&>(a) == INVALID ) {
|
|
| 1914 |
_digraph->firstOut(a, n); |
|
| 1911 |
Node n = _digraph->target(a._edge); |
|
| 1912 |
_digraph->nextIn(a._edge); |
|
| 1913 |
if (a._edge == INVALID) {
|
|
| 1914 |
_digraph->firstOut(a._edge, n); |
|
| 1915 | 1915 |
a._forward = true; |
| 1916 | 1916 |
} |
| 1917 | 1917 |
} |
| 1918 | 1918 |
else {
|
| 1919 |
_digraph->nextOut(a); |
|
| 1919 |
_digraph->nextOut(a._edge); |
|
| 1920 | 1920 |
} |
| 1921 | 1921 |
} |
| 1922 | 1922 |
|
| 1923 | 1923 |
void firstIn(Arc &a, const Node &n) const {
|
| 1924 |
_digraph->firstOut(a, n); |
|
| 1925 |
if (static_cast<const Edge&>(a) != INVALID ) {
|
|
| 1924 |
_digraph->firstOut(a._edge, n); |
|
| 1925 |
if (a._edge != INVALID ) {
|
|
| 1926 | 1926 |
a._forward = false; |
| 1927 | 1927 |
} else {
|
| 1928 |
_digraph->firstIn(a, n); |
|
| 1928 |
_digraph->firstIn(a._edge, n); |
|
| 1929 | 1929 |
a._forward = true; |
| 1930 | 1930 |
} |
| 1931 | 1931 |
} |
| 1932 | 1932 |
void nextIn(Arc &a) const {
|
| 1933 | 1933 |
if (!a._forward) {
|
| 1934 |
Node n = _digraph->source(a); |
|
| 1935 |
_digraph->nextOut(a); |
|
| 1936 |
if( static_cast<const Edge&>(a) == INVALID ) {
|
|
| 1937 |
_digraph->firstIn(a, n); |
|
| 1934 |
Node n = _digraph->source(a._edge); |
|
| 1935 |
_digraph->nextOut(a._edge); |
|
| 1936 |
if (a._edge == INVALID ) {
|
|
| 1937 |
_digraph->firstIn(a._edge, n); |
|
| 1938 | 1938 |
a._forward = true; |
| 1939 | 1939 |
} |
| 1940 | 1940 |
} |
| 1941 | 1941 |
else {
|
| 1942 |
_digraph->nextIn(a); |
|
| 1942 |
_digraph->nextIn(a._edge); |
|
| 1943 | 1943 |
} |
| 1944 | 1944 |
} |
| 1945 | 1945 |
|
| 1946 | 1946 |
void firstInc(Edge &e, bool &d, const Node &n) const {
|
| 1947 | 1947 |
d = true; |
| 1948 | 1948 |
_digraph->firstOut(e, n); |
| 1949 | 1949 |
if (e != INVALID) return; |
| 1950 | 1950 |
d = false; |
| 1951 | 1951 |
_digraph->firstIn(e, n); |
| 1952 | 1952 |
} |
| 1953 | 1953 |
|
| 1954 | 1954 |
void nextInc(Edge &e, bool &d) const {
|
| 1955 | 1955 |
if (d) {
|
| 1956 | 1956 |
Node s = _digraph->source(e); |
| 1957 | 1957 |
_digraph->nextOut(e); |
| 1958 | 1958 |
if (e != INVALID) return; |
| 1959 | 1959 |
d = false; |
| 1960 | 1960 |
_digraph->firstIn(e, s); |
| 1961 | 1961 |
} else {
|
| 1962 | 1962 |
_digraph->nextIn(e); |
| 1963 | 1963 |
} |
| 1964 | 1964 |
} |
| 1965 | 1965 |
|
| 1966 | 1966 |
Node u(const Edge& e) const {
|
| 1967 | 1967 |
return _digraph->source(e); |
| 1968 | 1968 |
} |
| 1969 | 1969 |
|
| 1970 | 1970 |
Node v(const Edge& e) const {
|
| 1971 | 1971 |
return _digraph->target(e); |
| 1972 | 1972 |
} |
| 1973 | 1973 |
|
| 1974 | 1974 |
Node source(const Arc &a) const {
|
| 1975 |
return a._forward ? _digraph->source(a) : _digraph->target(a); |
|
| 1975 |
return a._forward ? _digraph->source(a._edge) : _digraph->target(a._edge); |
|
| 1976 | 1976 |
} |
| 1977 | 1977 |
|
| 1978 | 1978 |
Node target(const Arc &a) const {
|
| 1979 |
return a._forward ? _digraph->target(a) : _digraph->source(a); |
|
| 1979 |
return a._forward ? _digraph->target(a._edge) : _digraph->source(a._edge); |
|
| 1980 | 1980 |
} |
| 1981 | 1981 |
|
| 1982 | 1982 |
static Arc direct(const Edge &e, bool d) {
|
| 1983 | 1983 |
return Arc(e, d); |
| 1984 | 1984 |
} |
| 1985 |
Arc direct(const Edge &e, const Node& n) const {
|
|
| 1986 |
return Arc(e, _digraph->source(e) == n); |
|
| 1987 |
} |
|
| 1988 | 1985 |
|
| 1989 | 1986 |
static bool direction(const Arc &a) { return a._forward; }
|
| 1990 | 1987 |
|
| 1991 | 1988 |
Node nodeFromId(int ix) const { return _digraph->nodeFromId(ix); }
|
| 1992 | 1989 |
Arc arcFromId(int ix) const {
|
| 1993 | 1990 |
return direct(_digraph->arcFromId(ix >> 1), bool(ix & 1)); |
| 1994 | 1991 |
} |
| 1995 | 1992 |
Edge edgeFromId(int ix) const { return _digraph->arcFromId(ix); }
|
| 1996 | 1993 |
|
| 1997 | 1994 |
int id(const Node &n) const { return _digraph->id(n); }
|
| 1998 | 1995 |
int id(const Arc &a) const {
|
| 1999 | 1996 |
return (_digraph->id(a) << 1) | (a._forward ? 1 : 0); |
| 2000 | 1997 |
} |
| 2001 | 1998 |
int id(const Edge &e) const { return _digraph->id(e); }
|
| 2002 | 1999 |
|
| 2003 | 2000 |
int maxNodeId() const { return _digraph->maxNodeId(); }
|
| 2004 | 2001 |
int maxArcId() const { return (_digraph->maxArcId() << 1) | 1; }
|
| 2005 | 2002 |
int maxEdgeId() const { return _digraph->maxArcId(); }
|
| 2006 | 2003 |
|
| 2007 | 2004 |
Node addNode() { return _digraph->addNode(); }
|
| 2008 | 2005 |
Edge addEdge(const Node& u, const Node& v) {
|
| 2009 | 2006 |
return _digraph->addArc(u, v); |
| 2010 | 2007 |
} |
| 2011 | 2008 |
|
| 2012 | 2009 |
void erase(const Node& i) { _digraph->erase(i); }
|
| 2013 | 2010 |
void erase(const Edge& i) { _digraph->erase(i); }
|
| 2014 | 2011 |
|
| 2015 | 2012 |
void clear() { _digraph->clear(); }
|
| 2016 | 2013 |
|
| 2017 | 2014 |
typedef NodeNumTagIndicator<Digraph> NodeNumTag; |
| 2018 | 2015 |
int nodeNum() const { return _digraph->nodeNum(); }
|
| 2019 | 2016 |
|
| 2020 | 2017 |
typedef ArcNumTagIndicator<Digraph> ArcNumTag; |
| 2021 | 2018 |
int arcNum() const { return 2 * _digraph->arcNum(); }
|
| 2022 | 2019 |
|
| 2023 | 2020 |
typedef ArcNumTag EdgeNumTag; |
| 2024 | 2021 |
int edgeNum() const { return _digraph->arcNum(); }
|
| 2025 | 2022 |
|
| 2026 | 2023 |
typedef FindArcTagIndicator<Digraph> FindArcTag; |
| 2027 | 2024 |
Arc findArc(Node s, Node t, Arc p = INVALID) const {
|
| 2028 | 2025 |
if (p == INVALID) {
|
| 2029 | 2026 |
Edge arc = _digraph->findArc(s, t); |
| 2030 | 2027 |
if (arc != INVALID) return direct(arc, true); |
| 2031 | 2028 |
arc = _digraph->findArc(t, s); |
| 2032 | 2029 |
if (arc != INVALID) return direct(arc, false); |
| 2033 | 2030 |
} else if (direction(p)) {
|
| 2034 | 2031 |
Edge arc = _digraph->findArc(s, t, p); |
| 2035 | 2032 |
if (arc != INVALID) return direct(arc, true); |
| 2036 | 2033 |
arc = _digraph->findArc(t, s); |
| 2037 | 2034 |
if (arc != INVALID) return direct(arc, false); |
| 2038 | 2035 |
} else {
|
| 2039 | 2036 |
Edge arc = _digraph->findArc(t, s, p); |
| 2040 | 2037 |
if (arc != INVALID) return direct(arc, false); |
| 2041 | 2038 |
} |
| 2042 | 2039 |
return INVALID; |
| 2043 | 2040 |
} |
| 2044 | 2041 |
|
| 2045 | 2042 |
typedef FindArcTag FindEdgeTag; |
| 2046 | 2043 |
Edge findEdge(Node s, Node t, Edge p = INVALID) const {
|
| 2047 | 2044 |
if (s != t) {
|
| 2048 | 2045 |
if (p == INVALID) {
|
| 2049 | 2046 |
Edge arc = _digraph->findArc(s, t); |
| 2050 | 2047 |
if (arc != INVALID) return arc; |
| 2051 | 2048 |
arc = _digraph->findArc(t, s); |
| 2052 | 2049 |
if (arc != INVALID) return arc; |
| 2053 | 2050 |
} else if (_digraph->source(p) == s) {
|
| 2054 | 2051 |
Edge arc = _digraph->findArc(s, t, p); |
| 2055 | 2052 |
if (arc != INVALID) return arc; |
| 2056 | 2053 |
arc = _digraph->findArc(t, s); |
| 2057 | 2054 |
if (arc != INVALID) return arc; |
| 2058 | 2055 |
} else {
|
| 2059 | 2056 |
Edge arc = _digraph->findArc(t, s, p); |
| 2060 | 2057 |
if (arc != INVALID) return arc; |
| 2061 | 2058 |
} |
| 2062 | 2059 |
} else {
|
| 2063 | 2060 |
return _digraph->findArc(s, t, p); |
| 2064 | 2061 |
} |
| 2065 | 2062 |
return INVALID; |
| 2066 | 2063 |
} |
| 2067 | 2064 |
|
| 2068 | 2065 |
private: |
| 2069 | 2066 |
|
| 2070 | 2067 |
template <typename V> |
| 2071 | 2068 |
class ArcMapBase {
|
| 2072 | 2069 |
private: |
| 2073 | 2070 |
|
| 2074 | 2071 |
typedef typename DGR::template ArcMap<V> MapImpl; |
| 2075 | 2072 |
|
| 2076 | 2073 |
public: |
| 2077 | 2074 |
|
| 2078 | 2075 |
typedef typename MapTraits<MapImpl>::ReferenceMapTag ReferenceMapTag; |
| 2079 | 2076 |
|
| 2080 | 2077 |
typedef V Value; |
| 2081 | 2078 |
typedef Arc Key; |
| 2082 | 2079 |
typedef typename MapTraits<MapImpl>::ConstReturnValue ConstReturnValue; |
| 2083 | 2080 |
typedef typename MapTraits<MapImpl>::ReturnValue ReturnValue; |
| 2084 | 2081 |
typedef typename MapTraits<MapImpl>::ConstReturnValue ConstReference; |
| 2085 | 2082 |
typedef typename MapTraits<MapImpl>::ReturnValue Reference; |
| 2086 | 2083 |
|
| 2087 | 2084 |
ArcMapBase(const UndirectorBase<DGR>& adaptor) : |
| 2088 | 2085 |
_forward(*adaptor._digraph), _backward(*adaptor._digraph) {}
|
| 2089 | 2086 |
|
| 2090 | 2087 |
ArcMapBase(const UndirectorBase<DGR>& adaptor, const V& value) |
| 2091 | 2088 |
: _forward(*adaptor._digraph, value), |
| 2092 | 2089 |
_backward(*adaptor._digraph, value) {}
|
| 2093 | 2090 |
|
| 2094 | 2091 |
void set(const Arc& a, const V& value) {
|
| 2095 | 2092 |
if (direction(a)) {
|
| 2096 | 2093 |
_forward.set(a, value); |
| 2097 | 2094 |
} else {
|
| 2098 | 2095 |
_backward.set(a, value); |
| 2099 | 2096 |
} |
| 2100 | 2097 |
} |
| 2101 | 2098 |
|
| 2102 | 2099 |
ConstReturnValue operator[](const Arc& a) const {
|
| 2103 | 2100 |
if (direction(a)) {
|
| 2104 | 2101 |
return _forward[a]; |
| 2105 | 2102 |
} else {
|
| 2106 | 2103 |
return _backward[a]; |
| 2107 | 2104 |
} |
| 2108 | 2105 |
} |
| 2109 | 2106 |
|
| 2110 | 2107 |
ReturnValue operator[](const Arc& a) {
|
| 2111 | 2108 |
if (direction(a)) {
|
| 2112 | 2109 |
return _forward[a]; |
| 2113 | 2110 |
} else {
|
| 2114 | 2111 |
return _backward[a]; |
| 2115 | 2112 |
} |
| 2116 | 2113 |
} |
| 2117 | 2114 |
|
| 2118 | 2115 |
protected: |
| 2119 | 2116 |
|
| 2120 | 2117 |
MapImpl _forward, _backward; |
| 2121 | 2118 |
|
| 2122 | 2119 |
}; |
| 2123 | 2120 |
|
| 2124 | 2121 |
public: |
| 2125 | 2122 |
|
| 2126 | 2123 |
template <typename V> |
| 2127 | 2124 |
class NodeMap : public DGR::template NodeMap<V> {
|
| 2128 | 2125 |
typedef typename DGR::template NodeMap<V> Parent; |
| 2129 | 2126 |
|
| 2130 | 2127 |
public: |
| 2131 | 2128 |
typedef V Value; |
| 2132 | 2129 |
|
| 2133 | 2130 |
explicit NodeMap(const UndirectorBase<DGR>& adaptor) |
| 2134 | 2131 |
: Parent(*adaptor._digraph) {}
|
| 2135 | 2132 |
|
| 2136 | 2133 |
NodeMap(const UndirectorBase<DGR>& adaptor, const V& value) |
| 2137 | 2134 |
: Parent(*adaptor._digraph, value) { }
|
| 2138 | 2135 |
|
| 2139 | 2136 |
private: |
| 2140 | 2137 |
NodeMap& operator=(const NodeMap& cmap) {
|
| 2141 | 2138 |
return operator=<NodeMap>(cmap); |
| 2142 | 2139 |
} |
| 2143 | 2140 |
|
| 2144 | 2141 |
template <typename CMap> |
| 2145 | 2142 |
NodeMap& operator=(const CMap& cmap) {
|
| 2146 | 2143 |
Parent::operator=(cmap); |
| 2147 | 2144 |
return *this; |
| 2148 | 2145 |
} |
| 2149 | 2146 |
|
| 2150 | 2147 |
}; |
| 2151 | 2148 |
|
| 2152 | 2149 |
template <typename V> |
| 2153 | 2150 |
class ArcMap |
| 2154 | 2151 |
: public SubMapExtender<UndirectorBase<DGR>, ArcMapBase<V> > {
|
| 2155 | 2152 |
typedef SubMapExtender<UndirectorBase<DGR>, ArcMapBase<V> > Parent; |
| 2156 | 2153 |
|
| 2157 | 2154 |
public: |
| 2158 | 2155 |
typedef V Value; |
| 2159 | 2156 |
|
| 2160 | 2157 |
explicit ArcMap(const UndirectorBase<DGR>& adaptor) |
| 2161 | 2158 |
: Parent(adaptor) {}
|
| 2162 | 2159 |
|
| 2163 | 2160 |
ArcMap(const UndirectorBase<DGR>& adaptor, const V& value) |
| 2164 | 2161 |
: Parent(adaptor, value) {}
|
| 2165 | 2162 |
|
| 2166 | 2163 |
private: |
| 2167 | 2164 |
ArcMap& operator=(const ArcMap& cmap) {
|
| 2168 | 2165 |
return operator=<ArcMap>(cmap); |
| 2169 | 2166 |
} |
| 2170 | 2167 |
|
| 2171 | 2168 |
template <typename CMap> |
| 2172 | 2169 |
ArcMap& operator=(const CMap& cmap) {
|
| 2173 | 2170 |
Parent::operator=(cmap); |
| 2174 | 2171 |
return *this; |
| 2175 | 2172 |
} |
| 2176 | 2173 |
}; |
| 2177 | 2174 |
|
| 2178 | 2175 |
template <typename V> |
| 2179 | 2176 |
class EdgeMap : public Digraph::template ArcMap<V> {
|
| 2180 | 2177 |
typedef typename Digraph::template ArcMap<V> Parent; |
| 2181 | 2178 |
|
| 2182 | 2179 |
public: |
| 2183 | 2180 |
typedef V Value; |
| 2184 | 2181 |
|
| 2185 | 2182 |
explicit EdgeMap(const UndirectorBase<DGR>& adaptor) |
| 2186 | 2183 |
: Parent(*adaptor._digraph) {}
|
| 2187 | 2184 |
|
| 2188 | 2185 |
EdgeMap(const UndirectorBase<DGR>& adaptor, const V& value) |
| 2189 | 2186 |
: Parent(*adaptor._digraph, value) {}
|
| 2190 | 2187 |
|
| 2191 | 2188 |
private: |
| 2192 | 2189 |
EdgeMap& operator=(const EdgeMap& cmap) {
|
| 2193 | 2190 |
return operator=<EdgeMap>(cmap); |
| 2194 | 2191 |
} |
| 2195 | 2192 |
|
| 2196 | 2193 |
template <typename CMap> |
| 2197 | 2194 |
EdgeMap& operator=(const CMap& cmap) {
|
| 2198 | 2195 |
Parent::operator=(cmap); |
| 2199 | 2196 |
return *this; |
| 2200 | 2197 |
} |
| 2201 | 2198 |
|
| 2202 | 2199 |
}; |
| 2203 | 2200 |
|
| 2204 | 2201 |
typedef typename ItemSetTraits<DGR, Node>::ItemNotifier NodeNotifier; |
| 2205 | 2202 |
NodeNotifier& notifier(Node) const { return _digraph->notifier(Node()); }
|
| 2206 | 2203 |
|
| 2207 | 2204 |
typedef typename ItemSetTraits<DGR, Edge>::ItemNotifier EdgeNotifier; |
| 2208 | 2205 |
EdgeNotifier& notifier(Edge) const { return _digraph->notifier(Edge()); }
|
| 2209 | 2206 |
|
| 2210 | 2207 |
typedef EdgeNotifier ArcNotifier; |
| 2211 | 2208 |
ArcNotifier& notifier(Arc) const { return _digraph->notifier(Edge()); }
|
| 2212 | 2209 |
|
| 2213 | 2210 |
protected: |
| 2214 | 2211 |
|
| 2215 | 2212 |
UndirectorBase() : _digraph(0) {}
|
| 2216 | 2213 |
|
| 2217 | 2214 |
DGR* _digraph; |
| 2218 | 2215 |
|
| 2219 | 2216 |
void initialize(DGR& digraph) {
|
| 2220 | 2217 |
_digraph = &digraph; |
| 2221 | 2218 |
} |
| 2222 | 2219 |
|
| 2223 | 2220 |
}; |
| 2224 | 2221 |
|
| 2225 | 2222 |
/// \ingroup graph_adaptors |
| 2226 | 2223 |
/// |
| 2227 | 2224 |
/// \brief Adaptor class for viewing a digraph as an undirected graph. |
| 2228 | 2225 |
/// |
| 2229 | 2226 |
/// Undirector adaptor can be used for viewing a digraph as an undirected |
| 2230 | 2227 |
/// graph. All arcs of the underlying digraph are showed in the |
| 2231 | 2228 |
/// adaptor as an edge (and also as a pair of arcs, of course). |
| 2232 | 2229 |
/// This adaptor conforms to the \ref concepts::Graph "Graph" concept. |
| 2233 | 2230 |
/// |
| 2234 | 2231 |
/// The adapted digraph can also be modified through this adaptor |
| 2235 | 2232 |
/// by adding or removing nodes or edges, unless the \c GR template |
| 2236 | 2233 |
/// parameter is set to be \c const. |
| 2237 | 2234 |
/// |
| 2238 | 2235 |
/// \tparam DGR The type of the adapted digraph. |
| 2239 | 2236 |
/// It must conform to the \ref concepts::Digraph "Digraph" concept. |
| 2240 | 2237 |
/// It can also be specified to be \c const. |
| 2241 | 2238 |
/// |
| 2242 | 2239 |
/// \note The \c Node type of this adaptor and the adapted digraph are |
| 2243 | 2240 |
/// convertible to each other, moreover the \c Edge type of the adaptor |
| 2244 | 2241 |
/// and the \c Arc type of the adapted digraph are also convertible to |
| 2245 | 2242 |
/// each other. |
| 2246 | 2243 |
/// (Thus the \c Arc type of the adaptor is convertible to the \c Arc type |
| 2247 | 2244 |
/// of the adapted digraph.) |
| 2248 | 2245 |
template<typename DGR> |
| 2249 | 2246 |
#ifdef DOXYGEN |
| 2250 | 2247 |
class Undirector {
|
| 2251 | 2248 |
#else |
| 2252 | 2249 |
class Undirector : |
| 2253 | 2250 |
public GraphAdaptorExtender<UndirectorBase<DGR> > {
|
| 2254 | 2251 |
#endif |
| 2255 | 2252 |
typedef GraphAdaptorExtender<UndirectorBase<DGR> > Parent; |
| 2256 | 2253 |
public: |
| 2257 | 2254 |
/// The type of the adapted digraph. |
| 2258 | 2255 |
typedef DGR Digraph; |
| 2259 | 2256 |
protected: |
| 2260 | 2257 |
Undirector() { }
|
| 2261 | 2258 |
public: |
| 2262 | 2259 |
|
| 2263 | 2260 |
/// \brief Constructor |
| 2264 | 2261 |
/// |
| 2265 | 2262 |
/// Creates an undirected graph from the given digraph. |
| 2266 | 2263 |
Undirector(DGR& digraph) {
|
| 2267 | 2264 |
initialize(digraph); |
| 2268 | 2265 |
} |
| 2269 | 2266 |
|
| 2270 | 2267 |
/// \brief Arc map combined from two original arc maps |
| 2271 | 2268 |
/// |
| 2272 | 2269 |
/// This map adaptor class adapts two arc maps of the underlying |
| 2273 | 2270 |
/// digraph to get an arc map of the undirected graph. |
| 2274 | 2271 |
/// Its value type is inherited from the first arc map type (\c FW). |
| 2275 | 2272 |
/// \tparam FW The type of the "foward" arc map. |
| 2276 | 2273 |
/// \tparam BK The type of the "backward" arc map. |
| 2277 | 2274 |
template <typename FW, typename BK> |
| 2278 | 2275 |
class CombinedArcMap {
|
| 2279 | 2276 |
public: |
| 2280 | 2277 |
|
| 2281 | 2278 |
/// The key type of the map |
| 2282 | 2279 |
typedef typename Parent::Arc Key; |
| 2283 | 2280 |
/// The value type of the map |
| 2284 | 2281 |
typedef typename FW::Value Value; |
| 2285 | 2282 |
|
| 2286 | 2283 |
typedef typename MapTraits<FW>::ReferenceMapTag ReferenceMapTag; |
| 2287 | 2284 |
|
| 2288 | 2285 |
typedef typename MapTraits<FW>::ReturnValue ReturnValue; |
| 2289 | 2286 |
typedef typename MapTraits<FW>::ConstReturnValue ConstReturnValue; |
| 2290 | 2287 |
typedef typename MapTraits<FW>::ReturnValue Reference; |
| 2291 | 2288 |
typedef typename MapTraits<FW>::ConstReturnValue ConstReference; |
| 2292 | 2289 |
|
| 2293 | 2290 |
/// Constructor |
| 2294 | 2291 |
CombinedArcMap(FW& forward, BK& backward) |
| 2295 | 2292 |
: _forward(&forward), _backward(&backward) {}
|
| 2296 | 2293 |
|
| 2297 | 2294 |
/// Sets the value associated with the given key. |
| 2298 | 2295 |
void set(const Key& e, const Value& a) {
|
| 2299 | 2296 |
if (Parent::direction(e)) {
|
| 2300 | 2297 |
_forward->set(e, a); |
| 2301 | 2298 |
} else {
|
| 2302 | 2299 |
_backward->set(e, a); |
| 2303 | 2300 |
} |
| 2304 | 2301 |
} |
| 2305 | 2302 |
|
| 2306 | 2303 |
/// Returns the value associated with the given key. |
| 2307 | 2304 |
ConstReturnValue operator[](const Key& e) const {
|
| 2308 | 2305 |
if (Parent::direction(e)) {
|
| 2309 | 2306 |
return (*_forward)[e]; |
| 2310 | 2307 |
} else {
|
| 2311 | 2308 |
return (*_backward)[e]; |
| 2312 | 2309 |
} |
| 2313 | 2310 |
} |
| 2314 | 2311 |
|
| 2315 | 2312 |
/// Returns a reference to the value associated with the given key. |
| 2316 | 2313 |
ReturnValue operator[](const Key& e) {
|
| 2317 | 2314 |
if (Parent::direction(e)) {
|
| 2318 | 2315 |
return (*_forward)[e]; |
| 2319 | 2316 |
} else {
|
| 2320 | 2317 |
return (*_backward)[e]; |
| 2321 | 2318 |
} |
| 2322 | 2319 |
} |
| 2323 | 2320 |
|
| 2324 | 2321 |
protected: |
| 2325 | 2322 |
|
| 2326 | 2323 |
FW* _forward; |
| 2327 | 2324 |
BK* _backward; |
| 2328 | 2325 |
|
| 2329 | 2326 |
}; |
| 2330 | 2327 |
|
| 2331 | 2328 |
/// \brief Returns a combined arc map |
| 2332 | 2329 |
/// |
| 2333 | 2330 |
/// This function just returns a combined arc map. |
| 2334 | 2331 |
template <typename FW, typename BK> |
| 2335 | 2332 |
static CombinedArcMap<FW, BK> |
| 2336 | 2333 |
combinedArcMap(FW& forward, BK& backward) {
|
| 2337 | 2334 |
return CombinedArcMap<FW, BK>(forward, backward); |
| 2338 | 2335 |
} |
| 2339 | 2336 |
|
| 2340 | 2337 |
template <typename FW, typename BK> |
| 2341 | 2338 |
static CombinedArcMap<const FW, BK> |
| 2342 | 2339 |
combinedArcMap(const FW& forward, BK& backward) {
|
| 2343 | 2340 |
return CombinedArcMap<const FW, BK>(forward, backward); |
| 2344 | 2341 |
} |
| 2345 | 2342 |
|
| 2346 | 2343 |
template <typename FW, typename BK> |
| 2347 | 2344 |
static CombinedArcMap<FW, const BK> |
| 2348 | 2345 |
combinedArcMap(FW& forward, const BK& backward) {
|
| 2349 | 2346 |
return CombinedArcMap<FW, const BK>(forward, backward); |
| 2350 | 2347 |
} |
| 2351 | 2348 |
|
| 2352 | 2349 |
template <typename FW, typename BK> |
| 2353 | 2350 |
static CombinedArcMap<const FW, const BK> |
| 2354 | 2351 |
combinedArcMap(const FW& forward, const BK& backward) {
|
| 2355 | 2352 |
return CombinedArcMap<const FW, const BK>(forward, backward); |
| 2356 | 2353 |
} |
| 2357 | 2354 |
|
| 2358 | 2355 |
}; |
| 2359 | 2356 |
|
| 2360 | 2357 |
/// \brief Returns a read-only Undirector adaptor |
| 2361 | 2358 |
/// |
| 2362 | 2359 |
/// This function just returns a read-only \ref Undirector adaptor. |
| 2363 | 2360 |
/// \ingroup graph_adaptors |
| 2364 | 2361 |
/// \relates Undirector |
| 2365 | 2362 |
template<typename DGR> |
| 2366 | 2363 |
Undirector<const DGR> undirector(const DGR& digraph) {
|
| 2367 | 2364 |
return Undirector<const DGR>(digraph); |
| 2368 | 2365 |
} |
| 2369 | 2366 |
|
| 2370 | 2367 |
|
| 2371 | 2368 |
template <typename GR, typename DM> |
| 2372 | 2369 |
class OrienterBase {
|
| 2373 | 2370 |
public: |
| 2374 | 2371 |
|
| 2375 | 2372 |
typedef GR Graph; |
| 2376 | 2373 |
typedef DM DirectionMap; |
| 2377 | 2374 |
|
| 2378 | 2375 |
typedef typename GR::Node Node; |
| 2379 | 2376 |
typedef typename GR::Edge Arc; |
| 2380 | 2377 |
|
| 2381 | 2378 |
void reverseArc(const Arc& arc) {
|
| 2382 | 2379 |
_direction->set(arc, !(*_direction)[arc]); |
| 2383 | 2380 |
} |
| 2384 | 2381 |
|
| 2385 | 2382 |
void first(Node& i) const { _graph->first(i); }
|
| 2386 | 2383 |
void first(Arc& i) const { _graph->first(i); }
|
| 2387 | 2384 |
void firstIn(Arc& i, const Node& n) const {
|
| 2388 | 2385 |
bool d = true; |
| 2389 | 2386 |
_graph->firstInc(i, d, n); |
| 2390 | 2387 |
while (i != INVALID && d == (*_direction)[i]) _graph->nextInc(i, d); |
| 2391 | 2388 |
} |
| 2392 | 2389 |
void firstOut(Arc& i, const Node& n ) const {
|
| 2393 | 2390 |
bool d = true; |
| 2394 | 2391 |
_graph->firstInc(i, d, n); |
| 2395 | 2392 |
while (i != INVALID && d != (*_direction)[i]) _graph->nextInc(i, d); |
| 2396 | 2393 |
} |
| 2397 | 2394 |
|
| 2398 | 2395 |
void next(Node& i) const { _graph->next(i); }
|
| 2399 | 2396 |
void next(Arc& i) const { _graph->next(i); }
|
| 2400 | 2397 |
void nextIn(Arc& i) const {
|
| 2401 | 2398 |
bool d = !(*_direction)[i]; |
| 2402 | 2399 |
_graph->nextInc(i, d); |
| 2403 | 2400 |
while (i != INVALID && d == (*_direction)[i]) _graph->nextInc(i, d); |
| 2404 | 2401 |
} |
| 2405 | 2402 |
void nextOut(Arc& i) const {
|
| 2406 | 2403 |
bool d = (*_direction)[i]; |
| 2407 | 2404 |
_graph->nextInc(i, d); |
| 2408 | 2405 |
while (i != INVALID && d != (*_direction)[i]) _graph->nextInc(i, d); |
| 2409 | 2406 |
} |
| 2410 | 2407 |
|
| 2411 | 2408 |
Node source(const Arc& e) const {
|
| 2412 | 2409 |
return (*_direction)[e] ? _graph->u(e) : _graph->v(e); |
| 2413 | 2410 |
} |
| 2414 | 2411 |
Node target(const Arc& e) const {
|
| 2415 | 2412 |
return (*_direction)[e] ? _graph->v(e) : _graph->u(e); |
| 2416 | 2413 |
} |
| 2417 | 2414 |
|
| 2418 | 2415 |
typedef NodeNumTagIndicator<Graph> NodeNumTag; |
| 2419 | 2416 |
int nodeNum() const { return _graph->nodeNum(); }
|
| 2420 | 2417 |
|
| 2421 | 2418 |
typedef EdgeNumTagIndicator<Graph> ArcNumTag; |
| 2422 | 2419 |
int arcNum() const { return _graph->edgeNum(); }
|
| 2423 | 2420 |
|
| 2424 | 2421 |
typedef FindEdgeTagIndicator<Graph> FindArcTag; |
| 2425 | 2422 |
Arc findArc(const Node& u, const Node& v, |
| 2426 | 2423 |
const Arc& prev = INVALID) const {
|
| 2427 | 2424 |
Arc arc = _graph->findEdge(u, v, prev); |
| 2428 | 2425 |
while (arc != INVALID && source(arc) != u) {
|
| 2429 | 2426 |
arc = _graph->findEdge(u, v, arc); |
| 2430 | 2427 |
} |
| 2431 | 2428 |
return arc; |
| 2432 | 2429 |
} |
| 2433 | 2430 |
|
| 2434 | 2431 |
Node addNode() {
|
| 2435 | 2432 |
return Node(_graph->addNode()); |
| 2436 | 2433 |
} |
| 2437 | 2434 |
|
| 2438 | 2435 |
Arc addArc(const Node& u, const Node& v) {
|
| 2439 | 2436 |
Arc arc = _graph->addEdge(u, v); |
| 2440 | 2437 |
_direction->set(arc, _graph->u(arc) == u); |
| 2441 | 2438 |
return arc; |
| 2442 | 2439 |
} |
| 2443 | 2440 |
|
| 2444 | 2441 |
void erase(const Node& i) { _graph->erase(i); }
|
| 2445 | 2442 |
void erase(const Arc& i) { _graph->erase(i); }
|
| 2446 | 2443 |
|
| 2447 | 2444 |
void clear() { _graph->clear(); }
|
| 2448 | 2445 |
|
| 2449 | 2446 |
int id(const Node& v) const { return _graph->id(v); }
|
| 2450 | 2447 |
int id(const Arc& e) const { return _graph->id(e); }
|
| 2451 | 2448 |
|
| 2452 | 2449 |
Node nodeFromId(int idx) const { return _graph->nodeFromId(idx); }
|
| 2453 | 2450 |
Arc arcFromId(int idx) const { return _graph->edgeFromId(idx); }
|
| 2454 | 2451 |
|
| 2455 | 2452 |
int maxNodeId() const { return _graph->maxNodeId(); }
|
| 2456 | 2453 |
int maxArcId() const { return _graph->maxEdgeId(); }
|
| 2457 | 2454 |
|
| 2458 | 2455 |
typedef typename ItemSetTraits<GR, Node>::ItemNotifier NodeNotifier; |
| 2459 | 2456 |
NodeNotifier& notifier(Node) const { return _graph->notifier(Node()); }
|
| 2460 | 2457 |
|
| 2461 | 2458 |
typedef typename ItemSetTraits<GR, Arc>::ItemNotifier ArcNotifier; |
| 2462 | 2459 |
ArcNotifier& notifier(Arc) const { return _graph->notifier(Arc()); }
|
| 2463 | 2460 |
|
| 2464 | 2461 |
template <typename V> |
| 2465 | 2462 |
class NodeMap : public GR::template NodeMap<V> {
|
| 2466 | 2463 |
typedef typename GR::template NodeMap<V> Parent; |
| 2467 | 2464 |
|
| 2468 | 2465 |
public: |
| 2469 | 2466 |
|
| 2470 | 2467 |
explicit NodeMap(const OrienterBase<GR, DM>& adapter) |
| 2471 | 2468 |
: Parent(*adapter._graph) {}
|
| 2472 | 2469 |
|
| 2473 | 2470 |
NodeMap(const OrienterBase<GR, DM>& adapter, const V& value) |
| 2474 | 2471 |
: Parent(*adapter._graph, value) {}
|
| 2475 | 2472 |
|
| 2476 | 2473 |
private: |
| 2477 | 2474 |
NodeMap& operator=(const NodeMap& cmap) {
|
| 2478 | 2475 |
return operator=<NodeMap>(cmap); |
| 2479 | 2476 |
} |
| 2480 | 2477 |
|
| 2481 | 2478 |
template <typename CMap> |
| 2482 | 2479 |
NodeMap& operator=(const CMap& cmap) {
|
| 2483 | 2480 |
Parent::operator=(cmap); |
| 2484 | 2481 |
return *this; |
| 2485 | 2482 |
} |
| 2486 | 2483 |
|
| 2487 | 2484 |
}; |
| 2488 | 2485 |
|
| 2489 | 2486 |
template <typename V> |
| 2490 | 2487 |
class ArcMap : public GR::template EdgeMap<V> {
|
| 2491 | 2488 |
typedef typename Graph::template EdgeMap<V> Parent; |
| 2492 | 2489 |
|
| 2493 | 2490 |
public: |
| 2494 | 2491 |
|
| 2495 | 2492 |
explicit ArcMap(const OrienterBase<GR, DM>& adapter) |
| 2496 | 2493 |
: Parent(*adapter._graph) { }
|
| 2497 | 2494 |
|
| 2498 | 2495 |
ArcMap(const OrienterBase<GR, DM>& adapter, const V& value) |
| 2499 | 2496 |
: Parent(*adapter._graph, value) { }
|
| 2500 | 2497 |
|
| 2501 | 2498 |
private: |
| 2502 | 2499 |
ArcMap& operator=(const ArcMap& cmap) {
|
| 2503 | 2500 |
return operator=<ArcMap>(cmap); |
| 2504 | 2501 |
} |
| 2505 | 2502 |
|
| 2506 | 2503 |
template <typename CMap> |
| 2507 | 2504 |
ArcMap& operator=(const CMap& cmap) {
|
| 2508 | 2505 |
Parent::operator=(cmap); |
| 2509 | 2506 |
return *this; |
| 2510 | 2507 |
} |
| 2511 | 2508 |
}; |
| 2512 | 2509 |
|
| 2513 | 2510 |
|
| 2514 | 2511 |
|
| 2515 | 2512 |
protected: |
| 2516 | 2513 |
Graph* _graph; |
| 2517 | 2514 |
DM* _direction; |
| 2518 | 2515 |
|
| 2519 | 2516 |
void initialize(GR& graph, DM& direction) {
|
| 2520 | 2517 |
_graph = &graph; |
| 2521 | 2518 |
_direction = &direction; |
| 2522 | 2519 |
} |
| 2523 | 2520 |
|
| 2524 | 2521 |
}; |
| 2525 | 2522 |
|
| 2526 | 2523 |
/// \ingroup graph_adaptors |
| 2527 | 2524 |
/// |
| 2528 | 2525 |
/// \brief Adaptor class for orienting the edges of a graph to get a digraph |
| 2529 | 2526 |
/// |
| 2530 | 2527 |
/// Orienter adaptor can be used for orienting the edges of a graph to |
| 2531 | 2528 |
/// get a digraph. A \c bool edge map of the underlying graph must be |
| 2532 | 2529 |
/// specified, which define the direction of the arcs in the adaptor. |
| 2533 | 2530 |
/// The arcs can be easily reversed by the \c reverseArc() member function |
| 2534 | 2531 |
/// of the adaptor. |
| 2535 | 2532 |
/// This class conforms to the \ref concepts::Digraph "Digraph" concept. |
| 2536 | 2533 |
/// |
| 2537 | 2534 |
/// The adapted graph can also be modified through this adaptor |
| 2538 | 2535 |
/// by adding or removing nodes or arcs, unless the \c GR template |
| 2539 | 2536 |
/// parameter is set to be \c const. |
| 2540 | 2537 |
/// |
| 2541 | 2538 |
/// \tparam GR The type of the adapted graph. |
| 2542 | 2539 |
/// It must conform to the \ref concepts::Graph "Graph" concept. |
| 2543 | 2540 |
/// It can also be specified to be \c const. |
| 2544 | 2541 |
/// \tparam DM The type of the direction map. |
| 2545 | 2542 |
/// It must be a \c bool (or convertible) edge map of the |
| 2546 | 2543 |
/// adapted graph. The default type is |
| 2547 | 2544 |
/// \ref concepts::Graph::EdgeMap "GR::EdgeMap<bool>". |
| 2548 | 2545 |
/// |
| 2549 | 2546 |
/// \note The \c Node type of this adaptor and the adapted graph are |
| 2550 | 2547 |
/// convertible to each other, moreover the \c Arc type of the adaptor |
| 2551 | 2548 |
/// and the \c Edge type of the adapted graph are also convertible to |
| 2552 | 2549 |
/// each other. |
| 2553 | 2550 |
#ifdef DOXYGEN |
| 2554 | 2551 |
template<typename GR, |
| 2555 | 2552 |
typename DM> |
| 2556 | 2553 |
class Orienter {
|
| 2557 | 2554 |
#else |
| 2558 | 2555 |
template<typename GR, |
| 2559 | 2556 |
typename DM = typename GR::template EdgeMap<bool> > |
| 2560 | 2557 |
class Orienter : |
| 2561 | 2558 |
public DigraphAdaptorExtender<OrienterBase<GR, DM> > {
|
| 2562 | 2559 |
#endif |
| 2563 | 2560 |
typedef DigraphAdaptorExtender<OrienterBase<GR, DM> > Parent; |
| 2564 | 2561 |
public: |
| 2565 | 2562 |
|
| 2566 | 2563 |
/// The type of the adapted graph. |
| 2567 | 2564 |
typedef GR Graph; |
| 2568 | 2565 |
/// The type of the direction edge map. |
| 2569 | 2566 |
typedef DM DirectionMap; |
| 2570 | 2567 |
|
| 2571 | 2568 |
typedef typename Parent::Arc Arc; |
| 2572 | 2569 |
|
| 2573 | 2570 |
protected: |
| 2574 | 2571 |
Orienter() { }
|
| 2575 | 2572 |
|
| 2576 | 2573 |
public: |
| 2577 | 2574 |
|
| 2578 | 2575 |
/// \brief Constructor |
| 2579 | 2576 |
/// |
| 2580 | 2577 |
/// Constructor of the adaptor. |
| 2581 | 2578 |
Orienter(GR& graph, DM& direction) {
|
| 2582 | 2579 |
Parent::initialize(graph, direction); |
| 2583 | 2580 |
} |
| 2584 | 2581 |
|
| 2585 | 2582 |
/// \brief Reverses the given arc |
| 2586 | 2583 |
/// |
| 2587 | 2584 |
/// This function reverses the given arc. |
| 2588 | 2585 |
/// It is done by simply negate the assigned value of \c a |
| 2589 | 2586 |
/// in the direction map. |
| 2590 | 2587 |
void reverseArc(const Arc& a) {
|
| 2591 | 2588 |
Parent::reverseArc(a); |
| 2592 | 2589 |
} |
| 2593 | 2590 |
}; |
| 2594 | 2591 |
|
| 2595 | 2592 |
/// \brief Returns a read-only Orienter adaptor |
| 2596 | 2593 |
/// |
| 2597 | 2594 |
/// This function just returns a read-only \ref Orienter adaptor. |
| 2598 | 2595 |
/// \ingroup graph_adaptors |
| 2599 | 2596 |
/// \relates Orienter |
| 2600 | 2597 |
template<typename GR, typename DM> |
| 2601 | 2598 |
Orienter<const GR, DM> |
| 2602 | 2599 |
orienter(const GR& graph, DM& direction) {
|
| 2603 | 2600 |
return Orienter<const GR, DM>(graph, direction); |
| 2604 | 2601 |
} |
| 2605 | 2602 |
|
| 2606 | 2603 |
template<typename GR, typename DM> |
| 2607 | 2604 |
Orienter<const GR, const DM> |
| 2608 | 2605 |
orienter(const GR& graph, const DM& direction) {
|
| 2609 | 2606 |
return Orienter<const GR, const DM>(graph, direction); |
| 2610 | 2607 |
} |
| 2611 | 2608 |
|
| 2612 | 2609 |
namespace _adaptor_bits {
|
| 2613 | 2610 |
|
| 2614 | 2611 |
template <typename DGR, typename CM, typename FM, typename TL> |
| 2615 | 2612 |
class ResForwardFilter {
|
| 2616 | 2613 |
public: |
| 2617 | 2614 |
|
| 2618 | 2615 |
typedef typename DGR::Arc Key; |
| 2619 | 2616 |
typedef bool Value; |
| 2620 | 2617 |
|
| 2621 | 2618 |
private: |
| 2622 | 2619 |
|
| 2623 | 2620 |
const CM* _capacity; |
| 2624 | 2621 |
const FM* _flow; |
| 2625 | 2622 |
TL _tolerance; |
| 2626 | 2623 |
|
| 2627 | 2624 |
public: |
| 2628 | 2625 |
|
| 2629 | 2626 |
ResForwardFilter(const CM& capacity, const FM& flow, |
| 2630 | 2627 |
const TL& tolerance = TL()) |
| 2631 | 2628 |
: _capacity(&capacity), _flow(&flow), _tolerance(tolerance) { }
|
| 2632 | 2629 |
|
| 2633 | 2630 |
bool operator[](const typename DGR::Arc& a) const {
|
| 2634 | 2631 |
return _tolerance.positive((*_capacity)[a] - (*_flow)[a]); |
| 2635 | 2632 |
} |
| 2636 | 2633 |
}; |
| 2637 | 2634 |
|
| 2638 | 2635 |
template<typename DGR,typename CM, typename FM, typename TL> |
| 2639 | 2636 |
class ResBackwardFilter {
|
| 2640 | 2637 |
public: |
| 2641 | 2638 |
|
| 2642 | 2639 |
typedef typename DGR::Arc Key; |
| 2643 | 2640 |
typedef bool Value; |
| 2644 | 2641 |
|
| 2645 | 2642 |
private: |
| 2646 | 2643 |
|
| 2647 | 2644 |
const CM* _capacity; |
| 2648 | 2645 |
const FM* _flow; |
| 2649 | 2646 |
TL _tolerance; |
| 2650 | 2647 |
|
| 2651 | 2648 |
public: |
| 2652 | 2649 |
|
| 2653 | 2650 |
ResBackwardFilter(const CM& capacity, const FM& flow, |
| 2654 | 2651 |
const TL& tolerance = TL()) |
| 2655 | 2652 |
: _capacity(&capacity), _flow(&flow), _tolerance(tolerance) { }
|
| 2656 | 2653 |
|
| 2657 | 2654 |
bool operator[](const typename DGR::Arc& a) const {
|
| 2658 | 2655 |
return _tolerance.positive((*_flow)[a]); |
| 2659 | 2656 |
} |
| 2660 | 2657 |
}; |
| 2661 | 2658 |
|
| 2662 | 2659 |
} |
| 2663 | 2660 |
|
| 2664 | 2661 |
/// \ingroup graph_adaptors |
| 2665 | 2662 |
/// |
| 2666 | 2663 |
/// \brief Adaptor class for composing the residual digraph for directed |
| 2667 | 2664 |
/// flow and circulation problems. |
| 2668 | 2665 |
/// |
| 2669 | 2666 |
/// ResidualDigraph can be used for composing the \e residual digraph |
| 2670 | 2667 |
/// for directed flow and circulation problems. Let \f$ G=(V, A) \f$ |
| 2671 | 2668 |
/// be a directed graph and let \f$ F \f$ be a number type. |
| 2672 | 2669 |
/// Let \f$ flow, cap: A\to F \f$ be functions on the arcs. |
| 2673 | 2670 |
/// This adaptor implements a digraph structure with node set \f$ V \f$ |
| 2674 | 2671 |
/// and arc set \f$ A_{forward}\cup A_{backward} \f$,
|
| 2675 | 2672 |
/// where \f$ A_{forward}=\{uv : uv\in A, flow(uv)<cap(uv)\} \f$ and
|
| 2676 | 2673 |
/// \f$ A_{backward}=\{vu : uv\in A, flow(uv)>0\} \f$, i.e. the so
|
| 2677 | 2674 |
/// called residual digraph. |
| 2678 | 2675 |
/// When the union \f$ A_{forward}\cup A_{backward} \f$ is taken,
|
| 2679 | 2676 |
/// multiplicities are counted, i.e. the adaptor has exactly |
| 2680 | 2677 |
/// \f$ |A_{forward}| + |A_{backward}|\f$ arcs (it may have parallel
|
| 2681 | 2678 |
/// arcs). |
| 2682 | 2679 |
/// This class conforms to the \ref concepts::Digraph "Digraph" concept. |
| 2683 | 2680 |
/// |
| 2684 | 2681 |
/// \tparam DGR The type of the adapted digraph. |
| 2685 | 2682 |
/// It must conform to the \ref concepts::Digraph "Digraph" concept. |
| 2686 | 2683 |
/// It is implicitly \c const. |
| 2687 | 2684 |
/// \tparam CM The type of the capacity map. |
| 2688 | 2685 |
/// It must be an arc map of some numerical type, which defines |
| 2689 | 2686 |
/// the capacities in the flow problem. It is implicitly \c const. |
| 2690 | 2687 |
/// The default type is |
| 2691 | 2688 |
/// \ref concepts::Digraph::ArcMap "GR::ArcMap<int>". |
| 2692 | 2689 |
/// \tparam FM The type of the flow map. |
| 2693 | 2690 |
/// It must be an arc map of some numerical type, which defines |
| 2694 | 2691 |
/// the flow values in the flow problem. The default type is \c CM. |
| 2695 | 2692 |
/// \tparam TL The tolerance type for handling inexact computation. |
| 2696 | 2693 |
/// The default tolerance type depends on the value type of the |
| 2697 | 2694 |
/// capacity map. |
| 2698 | 2695 |
/// |
| 2699 | 2696 |
/// \note This adaptor is implemented using Undirector and FilterArcs |
| 2700 | 2697 |
/// adaptors. |
| 2701 | 2698 |
/// |
| 2702 | 2699 |
/// \note The \c Node type of this adaptor and the adapted digraph are |
| 2703 | 2700 |
/// convertible to each other, moreover the \c Arc type of the adaptor |
| 2704 | 2701 |
/// is convertible to the \c Arc type of the adapted digraph. |
| 2705 | 2702 |
#ifdef DOXYGEN |
| 2706 | 2703 |
template<typename DGR, typename CM, typename FM, typename TL> |
| 2707 | 2704 |
class ResidualDigraph |
| 2708 | 2705 |
#else |
| 2709 | 2706 |
template<typename DGR, |
| 2710 | 2707 |
typename CM = typename DGR::template ArcMap<int>, |
| 2711 | 2708 |
typename FM = CM, |
| 2712 | 2709 |
typename TL = Tolerance<typename CM::Value> > |
| 2713 | 2710 |
class ResidualDigraph |
| 2714 | 2711 |
: public SubDigraph< |
| 2715 | 2712 |
Undirector<const DGR>, |
| 2716 | 2713 |
ConstMap<typename DGR::Node, Const<bool, true> >, |
| 2717 | 2714 |
typename Undirector<const DGR>::template CombinedArcMap< |
| 2718 | 2715 |
_adaptor_bits::ResForwardFilter<const DGR, CM, FM, TL>, |
| 2719 | 2716 |
_adaptor_bits::ResBackwardFilter<const DGR, CM, FM, TL> > > |
| 2720 | 2717 |
#endif |
| 2721 | 2718 |
{
|
| 2722 | 2719 |
public: |
| 2723 | 2720 |
|
| 2724 | 2721 |
/// The type of the underlying digraph. |
| 2725 | 2722 |
typedef DGR Digraph; |
| 2726 | 2723 |
/// The type of the capacity map. |
| 2727 | 2724 |
typedef CM CapacityMap; |
| 2728 | 2725 |
/// The type of the flow map. |
| 2729 | 2726 |
typedef FM FlowMap; |
| 2730 | 2727 |
/// The tolerance type. |
| 2731 | 2728 |
typedef TL Tolerance; |
| 2732 | 2729 |
|
| 2733 | 2730 |
typedef typename CapacityMap::Value Value; |
| 2734 | 2731 |
typedef ResidualDigraph Adaptor; |
| 2735 | 2732 |
|
| 2736 | 2733 |
protected: |
| 2737 | 2734 |
|
| 2738 | 2735 |
typedef Undirector<const Digraph> Undirected; |
| 2739 | 2736 |
|
| 2740 | 2737 |
typedef ConstMap<typename DGR::Node, Const<bool, true> > NodeFilter; |
| 2741 | 2738 |
|
| 2742 | 2739 |
typedef _adaptor_bits::ResForwardFilter<const DGR, CM, |
| 2743 | 2740 |
FM, TL> ForwardFilter; |
| 2744 | 2741 |
|
| 2745 | 2742 |
typedef _adaptor_bits::ResBackwardFilter<const DGR, CM, |
| 2746 | 2743 |
FM, TL> BackwardFilter; |
| 2747 | 2744 |
|
| 2748 | 2745 |
typedef typename Undirected:: |
| 2749 | 2746 |
template CombinedArcMap<ForwardFilter, BackwardFilter> ArcFilter; |
| 2750 | 2747 |
|
| 2751 | 2748 |
typedef SubDigraph<Undirected, NodeFilter, ArcFilter> Parent; |
| 2752 | 2749 |
|
| 2753 | 2750 |
const CapacityMap* _capacity; |
| 2754 | 2751 |
FlowMap* _flow; |
| 2755 | 2752 |
|
| 2756 | 2753 |
Undirected _graph; |
| 2757 | 2754 |
NodeFilter _node_filter; |
| 2758 | 2755 |
ForwardFilter _forward_filter; |
| 2759 | 2756 |
BackwardFilter _backward_filter; |
| 2760 | 2757 |
ArcFilter _arc_filter; |
| 2761 | 2758 |
|
| 2762 | 2759 |
public: |
| 2763 | 2760 |
|
| 2764 | 2761 |
/// \brief Constructor |
| 2765 | 2762 |
/// |
| 2766 | 2763 |
/// Constructor of the residual digraph adaptor. The parameters are the |
| 2767 | 2764 |
/// digraph, the capacity map, the flow map, and a tolerance object. |
| 2768 | 2765 |
ResidualDigraph(const DGR& digraph, const CM& capacity, |
| 2769 | 2766 |
FM& flow, const TL& tolerance = Tolerance()) |
| 2770 | 2767 |
: Parent(), _capacity(&capacity), _flow(&flow), |
| 2771 | 2768 |
_graph(digraph), _node_filter(), |
| 2772 | 2769 |
_forward_filter(capacity, flow, tolerance), |
| 2773 | 2770 |
_backward_filter(capacity, flow, tolerance), |
| 2774 | 2771 |
_arc_filter(_forward_filter, _backward_filter) |
| 2775 | 2772 |
{
|
| 2776 | 2773 |
Parent::initialize(_graph, _node_filter, _arc_filter); |
| 2777 | 2774 |
} |
| 2778 | 2775 |
|
| 2779 | 2776 |
typedef typename Parent::Arc Arc; |
| 2780 | 2777 |
|
| 2781 | 2778 |
/// \brief Returns the residual capacity of the given arc. |
| 2782 | 2779 |
/// |
| 2783 | 2780 |
/// Returns the residual capacity of the given arc. |
| 2784 | 2781 |
Value residualCapacity(const Arc& a) const {
|
| 2785 | 2782 |
if (Undirected::direction(a)) {
|
| 2786 | 2783 |
return (*_capacity)[a] - (*_flow)[a]; |
| 2787 | 2784 |
} else {
|
| 2788 | 2785 |
return (*_flow)[a]; |
| 2789 | 2786 |
} |
| 2790 | 2787 |
} |
| 2791 | 2788 |
|
| 2792 | 2789 |
/// \brief Augments on the given arc in the residual digraph. |
| 2793 | 2790 |
/// |
| 2794 | 2791 |
/// Augments on the given arc in the residual digraph. It increases |
| 2795 | 2792 |
/// or decreases the flow value on the original arc according to the |
| 2796 | 2793 |
/// direction of the residual arc. |
| 2797 | 2794 |
void augment(const Arc& a, const Value& v) const {
|
| 2798 | 2795 |
if (Undirected::direction(a)) {
|
| 2799 | 2796 |
_flow->set(a, (*_flow)[a] + v); |
| 2800 | 2797 |
} else {
|
| 2801 | 2798 |
_flow->set(a, (*_flow)[a] - v); |
| 2802 | 2799 |
} |
| 2803 | 2800 |
} |
| 2804 | 2801 |
|
| 2805 | 2802 |
/// \brief Returns \c true if the given residual arc is a forward arc. |
| 2806 | 2803 |
/// |
| 2807 | 2804 |
/// Returns \c true if the given residual arc has the same orientation |
| 2808 | 2805 |
/// as the original arc, i.e. it is a so called forward arc. |
| 2809 | 2806 |
static bool forward(const Arc& a) {
|
| 2810 | 2807 |
return Undirected::direction(a); |
| 2811 | 2808 |
} |
| 2812 | 2809 |
|
| 2813 | 2810 |
/// \brief Returns \c true if the given residual arc is a backward arc. |
| 2814 | 2811 |
/// |
| 2815 | 2812 |
/// Returns \c true if the given residual arc has the opposite orientation |
| 2816 | 2813 |
/// than the original arc, i.e. it is a so called backward arc. |
| 2817 | 2814 |
static bool backward(const Arc& a) {
|
| 2818 | 2815 |
return !Undirected::direction(a); |
| 2819 | 2816 |
} |
| 2820 | 2817 |
|
| 2821 | 2818 |
/// \brief Returns the forward oriented residual arc. |
| 2822 | 2819 |
/// |
| 2823 | 2820 |
/// Returns the forward oriented residual arc related to the given |
| 2824 | 2821 |
/// arc of the underlying digraph. |
| 2825 | 2822 |
static Arc forward(const typename Digraph::Arc& a) {
|
| 2826 | 2823 |
return Undirected::direct(a, true); |
| 2827 | 2824 |
} |
| 2828 | 2825 |
|
| 2829 | 2826 |
/// \brief Returns the backward oriented residual arc. |
| 2830 | 2827 |
/// |
| 2831 | 2828 |
/// Returns the backward oriented residual arc related to the given |
| 2832 | 2829 |
/// arc of the underlying digraph. |
| 2833 | 2830 |
static Arc backward(const typename Digraph::Arc& a) {
|
| 2834 | 2831 |
return Undirected::direct(a, false); |
| 2835 | 2832 |
} |
| 2836 | 2833 |
|
| 2837 | 2834 |
/// \brief Residual capacity map. |
| 2838 | 2835 |
/// |
| 2839 | 2836 |
/// This map adaptor class can be used for obtaining the residual |
| 2840 | 2837 |
/// capacities as an arc map of the residual digraph. |
| 2841 | 2838 |
/// Its value type is inherited from the capacity map. |
| 2842 | 2839 |
class ResidualCapacity {
|
| 2843 | 2840 |
protected: |
| 2844 | 2841 |
const Adaptor* _adaptor; |
| 2845 | 2842 |
public: |
| 2846 | 2843 |
/// The key type of the map |
| 2847 | 2844 |
typedef Arc Key; |
| 2848 | 2845 |
/// The value type of the map |
| 2849 | 2846 |
typedef typename CapacityMap::Value Value; |
| 2850 | 2847 |
|
| 2851 | 2848 |
/// Constructor |
| 2852 | 2849 |
ResidualCapacity(const ResidualDigraph<DGR, CM, FM, TL>& adaptor) |
| 2853 | 2850 |
: _adaptor(&adaptor) {}
|
| 2854 | 2851 |
|
| 2855 | 2852 |
/// Returns the value associated with the given residual arc |
| 2856 | 2853 |
Value operator[](const Arc& a) const {
|
| 2857 | 2854 |
return _adaptor->residualCapacity(a); |
| 2858 | 2855 |
} |
| 2859 | 2856 |
|
| 2860 | 2857 |
}; |
| 2861 | 2858 |
|
| 2862 | 2859 |
/// \brief Returns a residual capacity map |
| 2863 | 2860 |
/// |
| 2864 | 2861 |
/// This function just returns a residual capacity map. |
| 2865 | 2862 |
ResidualCapacity residualCapacity() const {
|
| 2866 | 2863 |
return ResidualCapacity(*this); |
| 2867 | 2864 |
} |
| 2868 | 2865 |
|
| 2869 | 2866 |
}; |
| 2870 | 2867 |
|
| 2871 | 2868 |
/// \brief Returns a (read-only) Residual adaptor |
| 2872 | 2869 |
/// |
| 2873 | 2870 |
/// This function just returns a (read-only) \ref ResidualDigraph adaptor. |
| 2874 | 2871 |
/// \ingroup graph_adaptors |
| 2875 | 2872 |
/// \relates ResidualDigraph |
| 2876 | 2873 |
template<typename DGR, typename CM, typename FM> |
| 2877 | 2874 |
ResidualDigraph<DGR, CM, FM> |
| 2878 | 2875 |
residualDigraph(const DGR& digraph, const CM& capacity_map, FM& flow_map) {
|
| 2879 | 2876 |
return ResidualDigraph<DGR, CM, FM> (digraph, capacity_map, flow_map); |
| 2880 | 2877 |
} |
| 2881 | 2878 |
|
| 2882 | 2879 |
|
| 2883 | 2880 |
template <typename DGR> |
| 2884 | 2881 |
class SplitNodesBase {
|
| 2885 | 2882 |
typedef DigraphAdaptorBase<const DGR> Parent; |
| 2886 | 2883 |
|
| 2887 | 2884 |
public: |
| 2888 | 2885 |
|
| 2889 | 2886 |
typedef DGR Digraph; |
| 2890 | 2887 |
typedef SplitNodesBase Adaptor; |
| 2891 | 2888 |
|
| 2892 | 2889 |
typedef typename DGR::Node DigraphNode; |
| 2893 | 2890 |
typedef typename DGR::Arc DigraphArc; |
| 2894 | 2891 |
|
| 2895 | 2892 |
class Node; |
| 2896 | 2893 |
class Arc; |
| 2897 | 2894 |
|
| 2898 | 2895 |
private: |
| 2899 | 2896 |
|
| 2900 | 2897 |
template <typename T> class NodeMapBase; |
| 2901 | 2898 |
template <typename T> class ArcMapBase; |
| 2902 | 2899 |
|
| 2903 | 2900 |
public: |
| 2904 | 2901 |
|
| 2905 | 2902 |
class Node : public DigraphNode {
|
| 2906 | 2903 |
friend class SplitNodesBase; |
| 2907 | 2904 |
template <typename T> friend class NodeMapBase; |
| 2908 | 2905 |
private: |
| 2909 | 2906 |
|
| 2910 | 2907 |
bool _in; |
| 2911 | 2908 |
Node(DigraphNode node, bool in) |
| 2912 | 2909 |
: DigraphNode(node), _in(in) {}
|
| 2913 | 2910 |
|
| 2914 | 2911 |
public: |
| 2915 | 2912 |
|
| 2916 | 2913 |
Node() {}
|
| 2917 | 2914 |
Node(Invalid) : DigraphNode(INVALID), _in(true) {}
|
| 2918 | 2915 |
|
| 2919 | 2916 |
bool operator==(const Node& node) const {
|
| 2920 | 2917 |
return DigraphNode::operator==(node) && _in == node._in; |
| 2921 | 2918 |
} |
| 2922 | 2919 |
|
| 2923 | 2920 |
bool operator!=(const Node& node) const {
|
| 2924 | 2921 |
return !(*this == node); |
| 2925 | 2922 |
} |
| 2926 | 2923 |
|
| 2927 | 2924 |
bool operator<(const Node& node) const {
|
| 2928 | 2925 |
return DigraphNode::operator<(node) || |
| 2929 | 2926 |
(DigraphNode::operator==(node) && _in < node._in); |
| 2930 | 2927 |
} |
| 2931 | 2928 |
}; |
| 2932 | 2929 |
|
| 2933 | 2930 |
class Arc {
|
| 2934 | 2931 |
friend class SplitNodesBase; |
| 2935 | 2932 |
template <typename T> friend class ArcMapBase; |
| 2936 | 2933 |
private: |
| 2937 | 2934 |
typedef BiVariant<DigraphArc, DigraphNode> ArcImpl; |
| 2938 | 2935 |
|
| 2939 | 2936 |
explicit Arc(const DigraphArc& arc) : _item(arc) {}
|
| 2940 | 2937 |
explicit Arc(const DigraphNode& node) : _item(node) {}
|
| 2941 | 2938 |
|
| 2942 | 2939 |
ArcImpl _item; |
| 2943 | 2940 |
|
| 2944 | 2941 |
public: |
| 2945 | 2942 |
Arc() {}
|
| 2946 | 2943 |
Arc(Invalid) : _item(DigraphArc(INVALID)) {}
|
| 2947 | 2944 |
|
| 2948 | 2945 |
bool operator==(const Arc& arc) const {
|
| 2949 | 2946 |
if (_item.firstState()) {
|
| 2950 | 2947 |
if (arc._item.firstState()) {
|
| 2951 | 2948 |
return _item.first() == arc._item.first(); |
| 2952 | 2949 |
} |
| 2953 | 2950 |
} else {
|
| 2954 | 2951 |
if (arc._item.secondState()) {
|
| 2955 | 2952 |
return _item.second() == arc._item.second(); |
| 2956 | 2953 |
} |
| 2957 | 2954 |
} |
| 2958 | 2955 |
return false; |
| 2959 | 2956 |
} |
| 2960 | 2957 |
|
| 2961 | 2958 |
bool operator!=(const Arc& arc) const {
|
| 2962 | 2959 |
return !(*this == arc); |
| 2963 | 2960 |
} |
| 2964 | 2961 |
|
| 2965 | 2962 |
bool operator<(const Arc& arc) const {
|
| 2966 | 2963 |
if (_item.firstState()) {
|
| 2967 | 2964 |
if (arc._item.firstState()) {
|
| 2968 | 2965 |
return _item.first() < arc._item.first(); |
| 2969 | 2966 |
} |
| 2970 | 2967 |
return false; |
| 2971 | 2968 |
} else {
|
| 2972 | 2969 |
if (arc._item.secondState()) {
|
| 2973 | 2970 |
return _item.second() < arc._item.second(); |
| 2974 | 2971 |
} |
| 2975 | 2972 |
return true; |
| 2976 | 2973 |
} |
| 2977 | 2974 |
} |
| 2978 | 2975 |
|
| 2979 | 2976 |
operator DigraphArc() const { return _item.first(); }
|
| 2980 | 2977 |
operator DigraphNode() const { return _item.second(); }
|
| 2981 | 2978 |
|
| 2982 | 2979 |
}; |
| 2983 | 2980 |
|
| 2984 | 2981 |
void first(Node& n) const {
|
| 2985 | 2982 |
_digraph->first(n); |
| 2986 | 2983 |
n._in = true; |
| 2987 | 2984 |
} |
| 2988 | 2985 |
|
| 2989 | 2986 |
void next(Node& n) const {
|
| 2990 | 2987 |
if (n._in) {
|
| 2991 | 2988 |
n._in = false; |
| 2992 | 2989 |
} else {
|
| 2993 | 2990 |
n._in = true; |
| 2994 | 2991 |
_digraph->next(n); |
| 2995 | 2992 |
} |
| 2996 | 2993 |
} |
| 2997 | 2994 |
|
| 2998 | 2995 |
void first(Arc& e) const {
|
| 2999 | 2996 |
e._item.setSecond(); |
| 3000 | 2997 |
_digraph->first(e._item.second()); |
| 3001 | 2998 |
if (e._item.second() == INVALID) {
|
| 3002 | 2999 |
e._item.setFirst(); |
| 3003 | 3000 |
_digraph->first(e._item.first()); |
| 3004 | 3001 |
} |
| 3005 | 3002 |
} |
| 3006 | 3003 |
|
| 3007 | 3004 |
void next(Arc& e) const {
|
| 3008 | 3005 |
if (e._item.secondState()) {
|
| 3009 | 3006 |
_digraph->next(e._item.second()); |
| 3010 | 3007 |
if (e._item.second() == INVALID) {
|
| 3011 | 3008 |
e._item.setFirst(); |
| 3012 | 3009 |
_digraph->first(e._item.first()); |
| 3013 | 3010 |
} |
| 3014 | 3011 |
} else {
|
| 3015 | 3012 |
_digraph->next(e._item.first()); |
| 3016 | 3013 |
} |
| 3017 | 3014 |
} |
| 3018 | 3015 |
|
| 3019 | 3016 |
void firstOut(Arc& e, const Node& n) const {
|
| 3020 | 3017 |
if (n._in) {
|
| 3021 | 3018 |
e._item.setSecond(n); |
| 3022 | 3019 |
} else {
|
| 3023 | 3020 |
e._item.setFirst(); |
| 3024 | 3021 |
_digraph->firstOut(e._item.first(), n); |
| 3025 | 3022 |
} |
| 3026 | 3023 |
} |
| 3027 | 3024 |
|
| 3028 | 3025 |
void nextOut(Arc& e) const {
|
| 3029 | 3026 |
if (!e._item.firstState()) {
|
| 3030 | 3027 |
e._item.setFirst(INVALID); |
| 3031 | 3028 |
} else {
|
| 3032 | 3029 |
_digraph->nextOut(e._item.first()); |
| 3033 | 3030 |
} |
| 3034 | 3031 |
} |
| 3035 | 3032 |
|
| 3036 | 3033 |
void firstIn(Arc& e, const Node& n) const {
|
| 3037 | 3034 |
if (!n._in) {
|
| 3038 | 3035 |
e._item.setSecond(n); |
| 3039 | 3036 |
} else {
|
| 3040 | 3037 |
e._item.setFirst(); |
| 3041 | 3038 |
_digraph->firstIn(e._item.first(), n); |
| 3042 | 3039 |
} |
| 3043 | 3040 |
} |
| 3044 | 3041 |
|
| 3045 | 3042 |
void nextIn(Arc& e) const {
|
| 3046 | 3043 |
if (!e._item.firstState()) {
|
| 3047 | 3044 |
e._item.setFirst(INVALID); |
| 3048 | 3045 |
} else {
|
| 3049 | 3046 |
_digraph->nextIn(e._item.first()); |
| 3050 | 3047 |
} |
| 3051 | 3048 |
} |
| 3052 | 3049 |
|
| 3053 | 3050 |
Node source(const Arc& e) const {
|
| 3054 | 3051 |
if (e._item.firstState()) {
|
| 3055 | 3052 |
return Node(_digraph->source(e._item.first()), false); |
| 3056 | 3053 |
} else {
|
| 3057 | 3054 |
return Node(e._item.second(), true); |
| 3058 | 3055 |
} |
| 3059 | 3056 |
} |
| 3060 | 3057 |
|
| 3061 | 3058 |
Node target(const Arc& e) const {
|
| 3062 | 3059 |
if (e._item.firstState()) {
|
| 3063 | 3060 |
return Node(_digraph->target(e._item.first()), true); |
| 3064 | 3061 |
} else {
|
| 3065 | 3062 |
return Node(e._item.second(), false); |
| 3066 | 3063 |
} |
| 3067 | 3064 |
} |
| 3068 | 3065 |
|
| 3069 | 3066 |
int id(const Node& n) const {
|
| 3070 | 3067 |
return (_digraph->id(n) << 1) | (n._in ? 0 : 1); |
| 3071 | 3068 |
} |
| 3072 | 3069 |
Node nodeFromId(int ix) const {
|
| 3073 | 3070 |
return Node(_digraph->nodeFromId(ix >> 1), (ix & 1) == 0); |
| 3074 | 3071 |
} |
| 3075 | 3072 |
int maxNodeId() const {
|
| 3076 | 3073 |
return 2 * _digraph->maxNodeId() + 1; |
| 3077 | 3074 |
} |
| 3078 | 3075 |
|
| 3079 | 3076 |
int id(const Arc& e) const {
|
| 3080 | 3077 |
if (e._item.firstState()) {
|
| 3081 | 3078 |
return _digraph->id(e._item.first()) << 1; |
| 3082 | 3079 |
} else {
|
| 3083 | 3080 |
return (_digraph->id(e._item.second()) << 1) | 1; |
| 3084 | 3081 |
} |
| 3085 | 3082 |
} |
| 3086 | 3083 |
Arc arcFromId(int ix) const {
|
| 3087 | 3084 |
if ((ix & 1) == 0) {
|
| 3088 | 3085 |
return Arc(_digraph->arcFromId(ix >> 1)); |
| 3089 | 3086 |
} else {
|
| 3090 | 3087 |
return Arc(_digraph->nodeFromId(ix >> 1)); |
| 3091 | 3088 |
} |
| 3092 | 3089 |
} |
| 3093 | 3090 |
int maxArcId() const {
|
| 3094 | 3091 |
return std::max(_digraph->maxNodeId() << 1, |
| 3095 | 3092 |
(_digraph->maxArcId() << 1) | 1); |
| 3096 | 3093 |
} |
| 3097 | 3094 |
|
| 3098 | 3095 |
static bool inNode(const Node& n) {
|
| 3099 | 3096 |
return n._in; |
| 3100 | 3097 |
} |
| 3101 | 3098 |
|
| 3102 | 3099 |
static bool outNode(const Node& n) {
|
| 3103 | 3100 |
return !n._in; |
| 3104 | 3101 |
} |
| 3105 | 3102 |
|
| 3106 | 3103 |
static bool origArc(const Arc& e) {
|
| 3107 | 3104 |
return e._item.firstState(); |
| 3108 | 3105 |
} |
| 3109 | 3106 |
|
| 3110 | 3107 |
static bool bindArc(const Arc& e) {
|
| 3111 | 3108 |
return e._item.secondState(); |
| 3112 | 3109 |
} |
| 3113 | 3110 |
|
| 3114 | 3111 |
static Node inNode(const DigraphNode& n) {
|
| 3115 | 3112 |
return Node(n, true); |
| 3116 | 3113 |
} |
| 3117 | 3114 |
|
| 3118 | 3115 |
static Node outNode(const DigraphNode& n) {
|
| 3119 | 3116 |
return Node(n, false); |
| 3120 | 3117 |
} |
| 3121 | 3118 |
|
| 3122 | 3119 |
static Arc arc(const DigraphNode& n) {
|
| 3123 | 3120 |
return Arc(n); |
| 3124 | 3121 |
} |
| 3125 | 3122 |
|
| 3126 | 3123 |
static Arc arc(const DigraphArc& e) {
|
| 3127 | 3124 |
return Arc(e); |
| 3128 | 3125 |
} |
| 3129 | 3126 |
|
| 3130 | 3127 |
typedef True NodeNumTag; |
| 3131 | 3128 |
int nodeNum() const {
|
| 3132 | 3129 |
return 2 * countNodes(*_digraph); |
| 3133 | 3130 |
} |
| 3134 | 3131 |
|
| 3135 | 3132 |
typedef True ArcNumTag; |
| 3136 | 3133 |
int arcNum() const {
|
| 3137 | 3134 |
return countArcs(*_digraph) + countNodes(*_digraph); |
| 3138 | 3135 |
} |
| 3139 | 3136 |
|
| 3140 | 3137 |
typedef True FindArcTag; |
| 3141 | 3138 |
Arc findArc(const Node& u, const Node& v, |
| 3142 | 3139 |
const Arc& prev = INVALID) const {
|
| 3143 | 3140 |
if (inNode(u) && outNode(v)) {
|
| 3144 | 3141 |
if (static_cast<const DigraphNode&>(u) == |
| 3145 | 3142 |
static_cast<const DigraphNode&>(v) && prev == INVALID) {
|
| 3146 | 3143 |
return Arc(u); |
| 3147 | 3144 |
} |
| 3148 | 3145 |
} |
| 3149 | 3146 |
else if (outNode(u) && inNode(v)) {
|
| 3150 | 3147 |
return Arc(::lemon::findArc(*_digraph, u, v, prev)); |
| 3151 | 3148 |
} |
| 3152 | 3149 |
return INVALID; |
| 3153 | 3150 |
} |
| 3154 | 3151 |
|
| 3155 | 3152 |
private: |
| 3156 | 3153 |
|
| 3157 | 3154 |
template <typename V> |
| 3158 | 3155 |
class NodeMapBase |
| 3159 | 3156 |
: public MapTraits<typename Parent::template NodeMap<V> > {
|
| 3160 | 3157 |
typedef typename Parent::template NodeMap<V> NodeImpl; |
| 3161 | 3158 |
public: |
| 3162 | 3159 |
typedef Node Key; |
| 3163 | 3160 |
typedef V Value; |
| 3164 | 3161 |
typedef typename MapTraits<NodeImpl>::ReferenceMapTag ReferenceMapTag; |
| 3165 | 3162 |
typedef typename MapTraits<NodeImpl>::ReturnValue ReturnValue; |
| 3166 | 3163 |
typedef typename MapTraits<NodeImpl>::ConstReturnValue ConstReturnValue; |
| 3167 | 3164 |
typedef typename MapTraits<NodeImpl>::ReturnValue Reference; |
| 3168 | 3165 |
typedef typename MapTraits<NodeImpl>::ConstReturnValue ConstReference; |
| 3169 | 3166 |
|
| 3170 | 3167 |
NodeMapBase(const SplitNodesBase<DGR>& adaptor) |
| 3171 | 3168 |
: _in_map(*adaptor._digraph), _out_map(*adaptor._digraph) {}
|
| 3172 | 3169 |
NodeMapBase(const SplitNodesBase<DGR>& adaptor, const V& value) |
| 3173 | 3170 |
: _in_map(*adaptor._digraph, value), |
| 3174 | 3171 |
_out_map(*adaptor._digraph, value) {}
|
| 3175 | 3172 |
|
| 3176 | 3173 |
void set(const Node& key, const V& val) {
|
| 3177 | 3174 |
if (SplitNodesBase<DGR>::inNode(key)) { _in_map.set(key, val); }
|
| 3178 | 3175 |
else {_out_map.set(key, val); }
|
| 3179 | 3176 |
} |
| 3180 | 3177 |
|
| 3181 | 3178 |
ReturnValue operator[](const Node& key) {
|
| 3182 | 3179 |
if (SplitNodesBase<DGR>::inNode(key)) { return _in_map[key]; }
|
| 3183 | 3180 |
else { return _out_map[key]; }
|
| 3184 | 3181 |
} |
| 3185 | 3182 |
|
| 3186 | 3183 |
ConstReturnValue operator[](const Node& key) const {
|
| 3187 | 3184 |
if (Adaptor::inNode(key)) { return _in_map[key]; }
|
| 3188 | 3185 |
else { return _out_map[key]; }
|
| 3189 | 3186 |
} |
| 3190 | 3187 |
|
| 3191 | 3188 |
private: |
| 3192 | 3189 |
NodeImpl _in_map, _out_map; |
| 3193 | 3190 |
}; |
| 3194 | 3191 |
|
| 3195 | 3192 |
template <typename V> |
| 3196 | 3193 |
class ArcMapBase |
| 3197 | 3194 |
: public MapTraits<typename Parent::template ArcMap<V> > {
|
| 3198 | 3195 |
typedef typename Parent::template ArcMap<V> ArcImpl; |
| 3199 | 3196 |
typedef typename Parent::template NodeMap<V> NodeImpl; |
| 3200 | 3197 |
public: |
| 3201 | 3198 |
typedef Arc Key; |
| 3202 | 3199 |
typedef V Value; |
| 3203 | 3200 |
typedef typename MapTraits<ArcImpl>::ReferenceMapTag ReferenceMapTag; |
| 3204 | 3201 |
typedef typename MapTraits<ArcImpl>::ReturnValue ReturnValue; |
| 3205 | 3202 |
typedef typename MapTraits<ArcImpl>::ConstReturnValue ConstReturnValue; |
| 3206 | 3203 |
typedef typename MapTraits<ArcImpl>::ReturnValue Reference; |
| 3207 | 3204 |
typedef typename MapTraits<ArcImpl>::ConstReturnValue ConstReference; |
| 3208 | 3205 |
|
| 3209 | 3206 |
ArcMapBase(const SplitNodesBase<DGR>& adaptor) |
| 3210 | 3207 |
: _arc_map(*adaptor._digraph), _node_map(*adaptor._digraph) {}
|
| 3211 | 3208 |
ArcMapBase(const SplitNodesBase<DGR>& adaptor, const V& value) |
| 3212 | 3209 |
: _arc_map(*adaptor._digraph, value), |
| 3213 | 3210 |
_node_map(*adaptor._digraph, value) {}
|
| 3214 | 3211 |
|
| 3215 | 3212 |
void set(const Arc& key, const V& val) {
|
| 3216 | 3213 |
if (SplitNodesBase<DGR>::origArc(key)) {
|
| 3217 | 3214 |
_arc_map.set(static_cast<const DigraphArc&>(key), val); |
| 3218 | 3215 |
} else {
|
| 3219 | 3216 |
_node_map.set(static_cast<const DigraphNode&>(key), val); |
| 3220 | 3217 |
} |
| 3221 | 3218 |
} |
| 3222 | 3219 |
|
| 3223 | 3220 |
ReturnValue operator[](const Arc& key) {
|
| 3224 | 3221 |
if (SplitNodesBase<DGR>::origArc(key)) {
|
| 3225 | 3222 |
return _arc_map[static_cast<const DigraphArc&>(key)]; |
| 3226 | 3223 |
} else {
|
| 3227 | 3224 |
return _node_map[static_cast<const DigraphNode&>(key)]; |
| 3228 | 3225 |
} |
| 3229 | 3226 |
} |
| 3230 | 3227 |
|
| 3231 | 3228 |
ConstReturnValue operator[](const Arc& key) const {
|
| 3232 | 3229 |
if (SplitNodesBase<DGR>::origArc(key)) {
|
| 3233 | 3230 |
return _arc_map[static_cast<const DigraphArc&>(key)]; |
| 3234 | 3231 |
} else {
|
| 3235 | 3232 |
return _node_map[static_cast<const DigraphNode&>(key)]; |
| 3236 | 3233 |
} |
| 3237 | 3234 |
} |
| 3238 | 3235 |
|
| 3239 | 3236 |
private: |
| 3240 | 3237 |
ArcImpl _arc_map; |
| 3241 | 3238 |
NodeImpl _node_map; |
| 3242 | 3239 |
}; |
| 3243 | 3240 |
|
| 3244 | 3241 |
public: |
| 3245 | 3242 |
|
| 3246 | 3243 |
template <typename V> |
| 3247 | 3244 |
class NodeMap |
| 3248 | 3245 |
: public SubMapExtender<SplitNodesBase<DGR>, NodeMapBase<V> > {
|
| 3249 | 3246 |
typedef SubMapExtender<SplitNodesBase<DGR>, NodeMapBase<V> > Parent; |
| 3250 | 3247 |
|
| 3251 | 3248 |
public: |
| 3252 | 3249 |
typedef V Value; |
| 3253 | 3250 |
|
| 3254 | 3251 |
NodeMap(const SplitNodesBase<DGR>& adaptor) |
| 3255 | 3252 |
: Parent(adaptor) {}
|
| 3256 | 3253 |
|
| 3257 | 3254 |
NodeMap(const SplitNodesBase<DGR>& adaptor, const V& value) |
| 3258 | 3255 |
: Parent(adaptor, value) {}
|
| 3259 | 3256 |
|
| 3260 | 3257 |
private: |
| 3261 | 3258 |
NodeMap& operator=(const NodeMap& cmap) {
|
| 3262 | 3259 |
return operator=<NodeMap>(cmap); |
| 3263 | 3260 |
} |
| 3264 | 3261 |
|
| 3265 | 3262 |
template <typename CMap> |
| 3266 | 3263 |
NodeMap& operator=(const CMap& cmap) {
|
| 3267 | 3264 |
Parent::operator=(cmap); |
| 3268 | 3265 |
return *this; |
| 3269 | 3266 |
} |
| 3270 | 3267 |
}; |
| 3271 | 3268 |
|
| 3272 | 3269 |
template <typename V> |
| 3273 | 3270 |
class ArcMap |
| 3274 | 3271 |
: public SubMapExtender<SplitNodesBase<DGR>, ArcMapBase<V> > {
|
| 3275 | 3272 |
typedef SubMapExtender<SplitNodesBase<DGR>, ArcMapBase<V> > Parent; |
| 3276 | 3273 |
|
| 3277 | 3274 |
public: |
| 3278 | 3275 |
typedef V Value; |
| 3279 | 3276 |
|
| 3280 | 3277 |
ArcMap(const SplitNodesBase<DGR>& adaptor) |
| 3281 | 3278 |
: Parent(adaptor) {}
|
| 3282 | 3279 |
|
| 3283 | 3280 |
ArcMap(const SplitNodesBase<DGR>& adaptor, const V& value) |
| 3284 | 3281 |
: Parent(adaptor, value) {}
|
| 3285 | 3282 |
|
| 3286 | 3283 |
private: |
| 3287 | 3284 |
ArcMap& operator=(const ArcMap& cmap) {
|
| 3288 | 3285 |
return operator=<ArcMap>(cmap); |
| 3289 | 3286 |
} |
| 3290 | 3287 |
|
| 3291 | 3288 |
template <typename CMap> |
| 3292 | 3289 |
ArcMap& operator=(const CMap& cmap) {
|
| 3293 | 3290 |
Parent::operator=(cmap); |
| 3294 | 3291 |
return *this; |
| 3295 | 3292 |
} |
| 3296 | 3293 |
}; |
| 3297 | 3294 |
|
| 3298 | 3295 |
protected: |
| 3299 | 3296 |
|
| 3300 | 3297 |
SplitNodesBase() : _digraph(0) {}
|
| 3301 | 3298 |
|
| 3302 | 3299 |
DGR* _digraph; |
| 3303 | 3300 |
|
| 3304 | 3301 |
void initialize(Digraph& digraph) {
|
| 3305 | 3302 |
_digraph = &digraph; |
| 3306 | 3303 |
} |
| 3307 | 3304 |
|
| 3308 | 3305 |
}; |
| 3309 | 3306 |
|
| 3310 | 3307 |
/// \ingroup graph_adaptors |
| 3311 | 3308 |
/// |
| 3312 | 3309 |
/// \brief Adaptor class for splitting the nodes of a digraph. |
| 3313 | 3310 |
/// |
| 3314 | 3311 |
/// SplitNodes adaptor can be used for splitting each node into an |
| 3315 | 3312 |
/// \e in-node and an \e out-node in a digraph. Formaly, the adaptor |
| 3316 | 3313 |
/// replaces each node \f$ u \f$ in the digraph with two nodes, |
| 3317 | 3314 |
/// namely node \f$ u_{in} \f$ and node \f$ u_{out} \f$.
|
| 3318 | 3315 |
/// If there is a \f$ (v, u) \f$ arc in the original digraph, then the |
| 3319 | 3316 |
/// new target of the arc will be \f$ u_{in} \f$ and similarly the
|
| 3320 | 3317 |
/// source of each original \f$ (u, v) \f$ arc will be \f$ u_{out} \f$.
|
| 3321 | 3318 |
/// The adaptor adds an additional \e bind \e arc from \f$ u_{in} \f$
|
| 3322 | 3319 |
/// to \f$ u_{out} \f$ for each node \f$ u \f$ of the original digraph.
|
| 3323 | 3320 |
/// |
| 3324 | 3321 |
/// The aim of this class is running an algorithm with respect to node |
| 3325 | 3322 |
/// costs or capacities if the algorithm considers only arc costs or |
| 3326 | 3323 |
/// capacities directly. |
| 3327 | 3324 |
/// In this case you can use \c SplitNodes adaptor, and set the node |
| 3328 | 3325 |
/// costs/capacities of the original digraph to the \e bind \e arcs |
| 3329 | 3326 |
/// in the adaptor. |
| 3330 | 3327 |
/// |
| 3331 | 3328 |
/// \tparam DGR The type of the adapted digraph. |
| 3332 | 3329 |
/// It must conform to the \ref concepts::Digraph "Digraph" concept. |
| 3333 | 3330 |
/// It is implicitly \c const. |
| 3334 | 3331 |
/// |
| 3335 | 3332 |
/// \note The \c Node type of this adaptor is converible to the \c Node |
| 3336 | 3333 |
/// type of the adapted digraph. |
| 3337 | 3334 |
template <typename DGR> |
| 3338 | 3335 |
#ifdef DOXYGEN |
| 3339 | 3336 |
class SplitNodes {
|
| 3340 | 3337 |
#else |
| 3341 | 3338 |
class SplitNodes |
| 3342 | 3339 |
: public DigraphAdaptorExtender<SplitNodesBase<const DGR> > {
|
| 3343 | 3340 |
#endif |
| 3344 | 3341 |
typedef DigraphAdaptorExtender<SplitNodesBase<const DGR> > Parent; |
| 3345 | 3342 |
|
| 3346 | 3343 |
public: |
| 3347 | 3344 |
typedef DGR Digraph; |
| 3348 | 3345 |
|
| 3349 | 3346 |
typedef typename DGR::Node DigraphNode; |
| 3350 | 3347 |
typedef typename DGR::Arc DigraphArc; |
| 3351 | 3348 |
|
| 3352 | 3349 |
typedef typename Parent::Node Node; |
| 3353 | 3350 |
typedef typename Parent::Arc Arc; |
| 3354 | 3351 |
|
| 3355 | 3352 |
/// \brief Constructor |
| 3356 | 3353 |
/// |
| 3357 | 3354 |
/// Constructor of the adaptor. |
| 3358 | 3355 |
SplitNodes(const DGR& g) {
|
| 3359 | 3356 |
Parent::initialize(g); |
| 3360 | 3357 |
} |
| 3361 | 3358 |
|
| 3362 | 3359 |
/// \brief Returns \c true if the given node is an in-node. |
| 3363 | 3360 |
/// |
| 3364 | 3361 |
/// Returns \c true if the given node is an in-node. |
| 3365 | 3362 |
static bool inNode(const Node& n) {
|
| 3366 | 3363 |
return Parent::inNode(n); |
| 3367 | 3364 |
} |
| 3368 | 3365 |
|
| 3369 | 3366 |
/// \brief Returns \c true if the given node is an out-node. |
| 3370 | 3367 |
/// |
| 3371 | 3368 |
/// Returns \c true if the given node is an out-node. |
| 3372 | 3369 |
static bool outNode(const Node& n) {
|
| 3373 | 3370 |
return Parent::outNode(n); |
| 3374 | 3371 |
} |
| 3375 | 3372 |
|
| 3376 | 3373 |
/// \brief Returns \c true if the given arc is an original arc. |
| 3377 | 3374 |
/// |
| 3378 | 3375 |
/// Returns \c true if the given arc is one of the arcs in the |
| 3379 | 3376 |
/// original digraph. |
| 3380 | 3377 |
static bool origArc(const Arc& a) {
|
| 3381 | 3378 |
return Parent::origArc(a); |
| 3382 | 3379 |
} |
| 3383 | 3380 |
|
| 3384 | 3381 |
/// \brief Returns \c true if the given arc is a bind arc. |
| 3385 | 3382 |
/// |
| 3386 | 3383 |
/// Returns \c true if the given arc is a bind arc, i.e. it connects |
| 3387 | 3384 |
/// an in-node and an out-node. |
| 3388 | 3385 |
static bool bindArc(const Arc& a) {
|
| 3389 | 3386 |
return Parent::bindArc(a); |
| 3390 | 3387 |
} |
| 3391 | 3388 |
|
| 3392 | 3389 |
/// \brief Returns the in-node created from the given original node. |
| 3393 | 3390 |
/// |
| 3394 | 3391 |
/// Returns the in-node created from the given original node. |
| 3395 | 3392 |
static Node inNode(const DigraphNode& n) {
|
| 3396 | 3393 |
return Parent::inNode(n); |
| 3397 | 3394 |
} |
| 3398 | 3395 |
|
| 3399 | 3396 |
/// \brief Returns the out-node created from the given original node. |
| 3400 | 3397 |
/// |
| 3401 | 3398 |
/// Returns the out-node created from the given original node. |
| 3402 | 3399 |
static Node outNode(const DigraphNode& n) {
|
| 3403 | 3400 |
return Parent::outNode(n); |
| 3404 | 3401 |
} |
| 3405 | 3402 |
|
| 3406 | 3403 |
/// \brief Returns the bind arc that corresponds to the given |
| 3407 | 3404 |
/// original node. |
| 3408 | 3405 |
/// |
| 3409 | 3406 |
/// Returns the bind arc in the adaptor that corresponds to the given |
| 3410 | 3407 |
/// original node, i.e. the arc connecting the in-node and out-node |
| 3411 | 3408 |
/// of \c n. |
| 3412 | 3409 |
static Arc arc(const DigraphNode& n) {
|
| 3413 | 3410 |
return Parent::arc(n); |
| 3414 | 3411 |
} |
| 3415 | 3412 |
|
| 3416 | 3413 |
/// \brief Returns the arc that corresponds to the given original arc. |
| 3417 | 3414 |
/// |
| 3418 | 3415 |
/// Returns the arc in the adaptor that corresponds to the given |
| 3419 | 3416 |
/// original arc. |
| 3420 | 3417 |
static Arc arc(const DigraphArc& a) {
|
| 3421 | 3418 |
return Parent::arc(a); |
| 3422 | 3419 |
} |
| 3423 | 3420 |
|
| 3424 | 3421 |
/// \brief Node map combined from two original node maps |
| 3425 | 3422 |
/// |
| 3426 | 3423 |
/// This map adaptor class adapts two node maps of the original digraph |
| 3427 | 3424 |
/// to get a node map of the split digraph. |
| 3428 | 3425 |
/// Its value type is inherited from the first node map type (\c IN). |
| 3429 | 3426 |
/// \tparam IN The type of the node map for the in-nodes. |
| 3430 | 3427 |
/// \tparam OUT The type of the node map for the out-nodes. |
| 3431 | 3428 |
template <typename IN, typename OUT> |
| 3432 | 3429 |
class CombinedNodeMap {
|
| 3433 | 3430 |
public: |
| 3434 | 3431 |
|
| 3435 | 3432 |
/// The key type of the map |
| 3436 | 3433 |
typedef Node Key; |
| 3437 | 3434 |
/// The value type of the map |
| 3438 | 3435 |
typedef typename IN::Value Value; |
| 3439 | 3436 |
|
| 3440 | 3437 |
typedef typename MapTraits<IN>::ReferenceMapTag ReferenceMapTag; |
| 3441 | 3438 |
typedef typename MapTraits<IN>::ReturnValue ReturnValue; |
| 3442 | 3439 |
typedef typename MapTraits<IN>::ConstReturnValue ConstReturnValue; |
| 3443 | 3440 |
typedef typename MapTraits<IN>::ReturnValue Reference; |
| 3444 | 3441 |
typedef typename MapTraits<IN>::ConstReturnValue ConstReference; |
| 3445 | 3442 |
|
| 3446 | 3443 |
/// Constructor |
| 3447 | 3444 |
CombinedNodeMap(IN& in_map, OUT& out_map) |
| 3448 | 3445 |
: _in_map(in_map), _out_map(out_map) {}
|
| 3449 | 3446 |
|
| 3450 | 3447 |
/// Returns the value associated with the given key. |
| 3451 | 3448 |
Value operator[](const Key& key) const {
|
| 3452 | 3449 |
if (SplitNodesBase<const DGR>::inNode(key)) {
|
| 3453 | 3450 |
return _in_map[key]; |
| 3454 | 3451 |
} else {
|
| 3455 | 3452 |
return _out_map[key]; |
| 3456 | 3453 |
} |
| 3457 | 3454 |
} |
| 3458 | 3455 |
|
| 3459 | 3456 |
/// Returns a reference to the value associated with the given key. |
| 3460 | 3457 |
Value& operator[](const Key& key) {
|
| 3461 | 3458 |
if (SplitNodesBase<const DGR>::inNode(key)) {
|
| 3462 | 3459 |
return _in_map[key]; |
| 3463 | 3460 |
} else {
|
| 3464 | 3461 |
return _out_map[key]; |
| 3465 | 3462 |
} |
| 3466 | 3463 |
} |
| 3467 | 3464 |
|
| 3468 | 3465 |
/// Sets the value associated with the given key. |
| 3469 | 3466 |
void set(const Key& key, const Value& value) {
|
| 3470 | 3467 |
if (SplitNodesBase<const DGR>::inNode(key)) {
|
| 3471 | 3468 |
_in_map.set(key, value); |
| 3472 | 3469 |
} else {
|
| 3473 | 3470 |
_out_map.set(key, value); |
| 3474 | 3471 |
} |
| 3475 | 3472 |
} |
| 3476 | 3473 |
|
| 3477 | 3474 |
private: |
| 3478 | 3475 |
|
| 3479 | 3476 |
IN& _in_map; |
| 3480 | 3477 |
OUT& _out_map; |
| 3481 | 3478 |
|
| 3482 | 3479 |
}; |
| 3483 | 3480 |
|
| 3484 | 3481 |
|
| 3485 | 3482 |
/// \brief Returns a combined node map |
| 3486 | 3483 |
/// |
| 3487 | 3484 |
/// This function just returns a combined node map. |
| 3488 | 3485 |
template <typename IN, typename OUT> |
| 3489 | 3486 |
static CombinedNodeMap<IN, OUT> |
| 3490 | 3487 |
combinedNodeMap(IN& in_map, OUT& out_map) {
|
| 3491 | 3488 |
return CombinedNodeMap<IN, OUT>(in_map, out_map); |
| 3492 | 3489 |
} |
| 3493 | 3490 |
|
| 3494 | 3491 |
template <typename IN, typename OUT> |
| 3495 | 3492 |
static CombinedNodeMap<const IN, OUT> |
| 3496 | 3493 |
combinedNodeMap(const IN& in_map, OUT& out_map) {
|
| 3497 | 3494 |
return CombinedNodeMap<const IN, OUT>(in_map, out_map); |
| 3498 | 3495 |
} |
| 3499 | 3496 |
|
| 3500 | 3497 |
template <typename IN, typename OUT> |
| 3501 | 3498 |
static CombinedNodeMap<IN, const OUT> |
| 3502 | 3499 |
combinedNodeMap(IN& in_map, const OUT& out_map) {
|
| 3503 | 3500 |
return CombinedNodeMap<IN, const OUT>(in_map, out_map); |
| 3504 | 3501 |
} |
| 3505 | 3502 |
|
| 3506 | 3503 |
template <typename IN, typename OUT> |
| 3507 | 3504 |
static CombinedNodeMap<const IN, const OUT> |
| 3508 | 3505 |
combinedNodeMap(const IN& in_map, const OUT& out_map) {
|
| 3509 | 3506 |
return CombinedNodeMap<const IN, const OUT>(in_map, out_map); |
| 3510 | 3507 |
} |
| 3511 | 3508 |
|
| 3512 | 3509 |
/// \brief Arc map combined from an arc map and a node map of the |
| 3513 | 3510 |
/// original digraph. |
| 3514 | 3511 |
/// |
| 3515 | 3512 |
/// This map adaptor class adapts an arc map and a node map of the |
| 3516 | 3513 |
/// original digraph to get an arc map of the split digraph. |
| 3517 | 3514 |
/// Its value type is inherited from the original arc map type (\c AM). |
| 3518 | 3515 |
/// \tparam AM The type of the arc map. |
| 3519 | 3516 |
/// \tparam NM the type of the node map. |
| 3520 | 3517 |
template <typename AM, typename NM> |
| 3521 | 3518 |
class CombinedArcMap {
|
| 3522 | 3519 |
public: |
| 3523 | 3520 |
|
| 3524 | 3521 |
/// The key type of the map |
| 3525 | 3522 |
typedef Arc Key; |
| 3526 | 3523 |
/// The value type of the map |
| 3527 | 3524 |
typedef typename AM::Value Value; |
| 3528 | 3525 |
|
| 3529 | 3526 |
typedef typename MapTraits<AM>::ReferenceMapTag ReferenceMapTag; |
| 3530 | 3527 |
typedef typename MapTraits<AM>::ReturnValue ReturnValue; |
| 3531 | 3528 |
typedef typename MapTraits<AM>::ConstReturnValue ConstReturnValue; |
| 3532 | 3529 |
typedef typename MapTraits<AM>::ReturnValue Reference; |
| 3533 | 3530 |
typedef typename MapTraits<AM>::ConstReturnValue ConstReference; |
| 3534 | 3531 |
|
| 3535 | 3532 |
/// Constructor |
| 3536 | 3533 |
CombinedArcMap(AM& arc_map, NM& node_map) |
| 3537 | 3534 |
: _arc_map(arc_map), _node_map(node_map) {}
|
| 3538 | 3535 |
|
| 3539 | 3536 |
/// Returns the value associated with the given key. |
| 3540 | 3537 |
Value operator[](const Key& arc) const {
|
| 3541 | 3538 |
if (SplitNodesBase<const DGR>::origArc(arc)) {
|
| 3542 | 3539 |
return _arc_map[arc]; |
| 3543 | 3540 |
} else {
|
| 3544 | 3541 |
return _node_map[arc]; |
| 3545 | 3542 |
} |
| 3546 | 3543 |
} |
| 3547 | 3544 |
|
| 3548 | 3545 |
/// Returns a reference to the value associated with the given key. |
| 3549 | 3546 |
Value& operator[](const Key& arc) {
|
| 3550 | 3547 |
if (SplitNodesBase<const DGR>::origArc(arc)) {
|
| 3551 | 3548 |
return _arc_map[arc]; |
| 3552 | 3549 |
} else {
|
| 3553 | 3550 |
return _node_map[arc]; |
| 3554 | 3551 |
} |
| 3555 | 3552 |
} |
| 3556 | 3553 |
|
| 3557 | 3554 |
/// Sets the value associated with the given key. |
| 3558 | 3555 |
void set(const Arc& arc, const Value& val) {
|
| 3559 | 3556 |
if (SplitNodesBase<const DGR>::origArc(arc)) {
|
| 3560 | 3557 |
_arc_map.set(arc, val); |
| 3561 | 3558 |
} else {
|
| 3562 | 3559 |
_node_map.set(arc, val); |
| 3563 | 3560 |
} |
| 3564 | 3561 |
} |
| 3565 | 3562 |
|
| 3566 | 3563 |
private: |
| 3567 | 3564 |
|
| 3568 | 3565 |
AM& _arc_map; |
| 3569 | 3566 |
NM& _node_map; |
| 3570 | 3567 |
|
| 3571 | 3568 |
}; |
| 3572 | 3569 |
|
| 3573 | 3570 |
/// \brief Returns a combined arc map |
| 3574 | 3571 |
/// |
| 3575 | 3572 |
/// This function just returns a combined arc map. |
| 3576 | 3573 |
template <typename ArcMap, typename NodeMap> |
| 3577 | 3574 |
static CombinedArcMap<ArcMap, NodeMap> |
| 3578 | 3575 |
combinedArcMap(ArcMap& arc_map, NodeMap& node_map) {
|
| 3579 | 3576 |
return CombinedArcMap<ArcMap, NodeMap>(arc_map, node_map); |
| 3580 | 3577 |
} |
| 3581 | 3578 |
|
| 3582 | 3579 |
template <typename ArcMap, typename NodeMap> |
| 3583 | 3580 |
static CombinedArcMap<const ArcMap, NodeMap> |
| 3584 | 3581 |
combinedArcMap(const ArcMap& arc_map, NodeMap& node_map) {
|
| 3585 | 3582 |
return CombinedArcMap<const ArcMap, NodeMap>(arc_map, node_map); |
| 3586 | 3583 |
} |
| 3587 | 3584 |
|
| 3588 | 3585 |
template <typename ArcMap, typename NodeMap> |
| 3589 | 3586 |
static CombinedArcMap<ArcMap, const NodeMap> |
| 3590 | 3587 |
combinedArcMap(ArcMap& arc_map, const NodeMap& node_map) {
|
| 3591 | 3588 |
return CombinedArcMap<ArcMap, const NodeMap>(arc_map, node_map); |
| 3592 | 3589 |
} |
| 3593 | 3590 |
|
| 3594 | 3591 |
template <typename ArcMap, typename NodeMap> |
| 3595 | 3592 |
static CombinedArcMap<const ArcMap, const NodeMap> |
| 3596 | 3593 |
combinedArcMap(const ArcMap& arc_map, const NodeMap& node_map) {
|
| 3597 | 3594 |
return CombinedArcMap<const ArcMap, const NodeMap>(arc_map, node_map); |
| 3598 | 3595 |
} |
| 3599 | 3596 |
|
| 3600 | 3597 |
}; |
| 3601 | 3598 |
|
| 3602 | 3599 |
/// \brief Returns a (read-only) SplitNodes adaptor |
| 3603 | 3600 |
/// |
| 3604 | 3601 |
/// This function just returns a (read-only) \ref SplitNodes adaptor. |
| 3605 | 3602 |
/// \ingroup graph_adaptors |
| 3606 | 3603 |
/// \relates SplitNodes |
| 3607 | 3604 |
template<typename DGR> |
| 3608 | 3605 |
SplitNodes<DGR> |
| 3609 | 3606 |
splitNodes(const DGR& digraph) {
|
| 3610 | 3607 |
return SplitNodes<DGR>(digraph); |
| 3611 | 3608 |
} |
| 3612 | 3609 |
|
| 3613 | 3610 |
#undef LEMON_SCOPE_FIX |
| 3614 | 3611 |
|
| 3615 | 3612 |
} //namespace lemon |
| 3616 | 3613 |
|
| 3617 | 3614 |
#endif //LEMON_ADAPTORS_H |
| 1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
| 2 | 2 |
* |
| 3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
| 4 | 4 |
* |
| 5 | 5 |
* Copyright (C) 2003-2009 |
| 6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
| 7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
| 8 | 8 |
* |
| 9 | 9 |
* Permission to use, modify and distribute this software is granted |
| 10 | 10 |
* provided that this copyright notice appears in all copies. For |
| 11 | 11 |
* precise terms see the accompanying LICENSE file. |
| 12 | 12 |
* |
| 13 | 13 |
* This software is provided "AS IS" with no warranty of any kind, |
| 14 | 14 |
* express or implied, and with no claim as to its suitability for any |
| 15 | 15 |
* purpose. |
| 16 | 16 |
* |
| 17 | 17 |
*/ |
| 18 | 18 |
|
| 19 | 19 |
///\ingroup graph_concepts |
| 20 | 20 |
///\file |
| 21 | 21 |
///\brief The concept of Undirected Graphs. |
| 22 | 22 |
|
| 23 | 23 |
#ifndef LEMON_CONCEPTS_GRAPH_H |
| 24 | 24 |
#define LEMON_CONCEPTS_GRAPH_H |
| 25 | 25 |
|
| 26 | 26 |
#include <lemon/concepts/graph_components.h> |
| 27 | 27 |
#include <lemon/core.h> |
| 28 | 28 |
|
| 29 | 29 |
namespace lemon {
|
| 30 | 30 |
namespace concepts {
|
| 31 | 31 |
|
| 32 | 32 |
/// \ingroup graph_concepts |
| 33 | 33 |
/// |
| 34 | 34 |
/// \brief Class describing the concept of Undirected Graphs. |
| 35 | 35 |
/// |
| 36 | 36 |
/// This class describes the common interface of all Undirected |
| 37 | 37 |
/// Graphs. |
| 38 | 38 |
/// |
| 39 | 39 |
/// As all concept describing classes it provides only interface |
| 40 | 40 |
/// without any sensible implementation. So any algorithm for |
| 41 | 41 |
/// undirected graph should compile with this class, but it will not |
| 42 | 42 |
/// run properly, of course. |
| 43 | 43 |
/// |
| 44 | 44 |
/// The LEMON undirected graphs also fulfill the concept of |
| 45 | 45 |
/// directed graphs (\ref lemon::concepts::Digraph "Digraph |
| 46 | 46 |
/// Concept"). Each edges can be seen as two opposite |
| 47 | 47 |
/// directed arc and consequently the undirected graph can be |
| 48 | 48 |
/// seen as the direceted graph of these directed arcs. The |
| 49 | 49 |
/// Graph has the Edge inner class for the edges and |
| 50 | 50 |
/// the Arc type for the directed arcs. The Arc type is |
| 51 | 51 |
/// convertible to Edge or inherited from it so from a directed |
| 52 | 52 |
/// arc we can get the represented edge. |
| 53 | 53 |
/// |
| 54 | 54 |
/// In the sense of the LEMON each edge has a default |
| 55 | 55 |
/// direction (it should be in every computer implementation, |
| 56 | 56 |
/// because the order of edge's nodes defines an |
| 57 | 57 |
/// orientation). With the default orientation we can define that |
| 58 | 58 |
/// the directed arc is forward or backward directed. With the \c |
| 59 | 59 |
/// direction() and \c direct() function we can get the direction |
| 60 | 60 |
/// of the directed arc and we can direct an edge. |
| 61 | 61 |
/// |
| 62 | 62 |
/// The EdgeIt is an iterator for the edges. We can use |
| 63 | 63 |
/// the EdgeMap to map values for the edges. The InArcIt and |
| 64 | 64 |
/// OutArcIt iterates on the same edges but with opposite |
| 65 | 65 |
/// direction. The IncEdgeIt iterates also on the same edges |
| 66 | 66 |
/// as the OutArcIt and InArcIt but it is not convertible to Arc just |
| 67 | 67 |
/// to Edge. |
| 68 | 68 |
class Graph {
|
| 69 | 69 |
public: |
| 70 | 70 |
/// \brief The undirected graph should be tagged by the |
| 71 | 71 |
/// UndirectedTag. |
| 72 | 72 |
/// |
| 73 | 73 |
/// The undirected graph should be tagged by the UndirectedTag. This |
| 74 | 74 |
/// tag helps the enable_if technics to make compile time |
| 75 | 75 |
/// specializations for undirected graphs. |
| 76 | 76 |
typedef True UndirectedTag; |
| 77 | 77 |
|
| 78 | 78 |
/// \brief The base type of node iterators, |
| 79 | 79 |
/// or in other words, the trivial node iterator. |
| 80 | 80 |
/// |
| 81 | 81 |
/// This is the base type of each node iterator, |
| 82 | 82 |
/// thus each kind of node iterator converts to this. |
| 83 | 83 |
/// More precisely each kind of node iterator should be inherited |
| 84 | 84 |
/// from the trivial node iterator. |
| 85 | 85 |
class Node {
|
| 86 | 86 |
public: |
| 87 | 87 |
/// Default constructor |
| 88 | 88 |
|
| 89 | 89 |
/// @warning The default constructor sets the iterator |
| 90 | 90 |
/// to an undefined value. |
| 91 | 91 |
Node() { }
|
| 92 | 92 |
/// Copy constructor. |
| 93 | 93 |
|
| 94 | 94 |
/// Copy constructor. |
| 95 | 95 |
/// |
| 96 | 96 |
Node(const Node&) { }
|
| 97 | 97 |
|
| 98 | 98 |
/// Invalid constructor \& conversion. |
| 99 | 99 |
|
| 100 | 100 |
/// This constructor initializes the iterator to be invalid. |
| 101 | 101 |
/// \sa Invalid for more details. |
| 102 | 102 |
Node(Invalid) { }
|
| 103 | 103 |
/// Equality operator |
| 104 | 104 |
|
| 105 | 105 |
/// Two iterators are equal if and only if they point to the |
| 106 | 106 |
/// same object or both are invalid. |
| 107 | 107 |
bool operator==(Node) const { return true; }
|
| 108 | 108 |
|
| 109 | 109 |
/// Inequality operator |
| 110 | 110 |
|
| 111 | 111 |
/// \sa operator==(Node n) |
| 112 | 112 |
/// |
| 113 | 113 |
bool operator!=(Node) const { return true; }
|
| 114 | 114 |
|
| 115 | 115 |
/// Artificial ordering operator. |
| 116 | 116 |
|
| 117 | 117 |
/// To allow the use of graph descriptors as key type in std::map or |
| 118 | 118 |
/// similar associative container we require this. |
| 119 | 119 |
/// |
| 120 | 120 |
/// \note This operator only have to define some strict ordering of |
| 121 | 121 |
/// the items; this order has nothing to do with the iteration |
| 122 | 122 |
/// ordering of the items. |
| 123 | 123 |
bool operator<(Node) const { return false; }
|
| 124 | 124 |
|
| 125 | 125 |
}; |
| 126 | 126 |
|
| 127 | 127 |
/// This iterator goes through each node. |
| 128 | 128 |
|
| 129 | 129 |
/// This iterator goes through each node. |
| 130 | 130 |
/// Its usage is quite simple, for example you can count the number |
| 131 | 131 |
/// of nodes in graph \c g of type \c Graph like this: |
| 132 | 132 |
///\code |
| 133 | 133 |
/// int count=0; |
| 134 | 134 |
/// for (Graph::NodeIt n(g); n!=INVALID; ++n) ++count; |
| 135 | 135 |
///\endcode |
| 136 | 136 |
class NodeIt : public Node {
|
| 137 | 137 |
public: |
| 138 | 138 |
/// Default constructor |
| 139 | 139 |
|
| 140 | 140 |
/// @warning The default constructor sets the iterator |
| 141 | 141 |
/// to an undefined value. |
| 142 | 142 |
NodeIt() { }
|
| 143 | 143 |
/// Copy constructor. |
| 144 | 144 |
|
| 145 | 145 |
/// Copy constructor. |
| 146 | 146 |
/// |
| 147 | 147 |
NodeIt(const NodeIt& n) : Node(n) { }
|
| 148 | 148 |
/// Invalid constructor \& conversion. |
| 149 | 149 |
|
| 150 | 150 |
/// Initialize the iterator to be invalid. |
| 151 | 151 |
/// \sa Invalid for more details. |
| 152 | 152 |
NodeIt(Invalid) { }
|
| 153 | 153 |
/// Sets the iterator to the first node. |
| 154 | 154 |
|
| 155 | 155 |
/// Sets the iterator to the first node of \c g. |
| 156 | 156 |
/// |
| 157 | 157 |
NodeIt(const Graph&) { }
|
| 158 | 158 |
/// Node -> NodeIt conversion. |
| 159 | 159 |
|
| 160 | 160 |
/// Sets the iterator to the node of \c the graph pointed by |
| 161 | 161 |
/// the trivial iterator. |
| 162 | 162 |
/// This feature necessitates that each time we |
| 163 | 163 |
/// iterate the arc-set, the iteration order is the same. |
| 164 | 164 |
NodeIt(const Graph&, const Node&) { }
|
| 165 | 165 |
/// Next node. |
| 166 | 166 |
|
| 167 | 167 |
/// Assign the iterator to the next node. |
| 168 | 168 |
/// |
| 169 | 169 |
NodeIt& operator++() { return *this; }
|
| 170 | 170 |
}; |
| 171 | 171 |
|
| 172 | 172 |
|
| 173 | 173 |
/// The base type of the edge iterators. |
| 174 | 174 |
|
| 175 | 175 |
/// The base type of the edge iterators. |
| 176 | 176 |
/// |
| 177 | 177 |
class Edge {
|
| 178 | 178 |
public: |
| 179 | 179 |
/// Default constructor |
| 180 | 180 |
|
| 181 | 181 |
/// @warning The default constructor sets the iterator |
| 182 | 182 |
/// to an undefined value. |
| 183 | 183 |
Edge() { }
|
| 184 | 184 |
/// Copy constructor. |
| 185 | 185 |
|
| 186 | 186 |
/// Copy constructor. |
| 187 | 187 |
/// |
| 188 | 188 |
Edge(const Edge&) { }
|
| 189 | 189 |
/// Initialize the iterator to be invalid. |
| 190 | 190 |
|
| 191 | 191 |
/// Initialize the iterator to be invalid. |
| 192 | 192 |
/// |
| 193 | 193 |
Edge(Invalid) { }
|
| 194 | 194 |
/// Equality operator |
| 195 | 195 |
|
| 196 | 196 |
/// Two iterators are equal if and only if they point to the |
| 197 | 197 |
/// same object or both are invalid. |
| 198 | 198 |
bool operator==(Edge) const { return true; }
|
| 199 | 199 |
/// Inequality operator |
| 200 | 200 |
|
| 201 | 201 |
/// \sa operator==(Edge n) |
| 202 | 202 |
/// |
| 203 | 203 |
bool operator!=(Edge) const { return true; }
|
| 204 | 204 |
|
| 205 | 205 |
/// Artificial ordering operator. |
| 206 | 206 |
|
| 207 | 207 |
/// To allow the use of graph descriptors as key type in std::map or |
| 208 | 208 |
/// similar associative container we require this. |
| 209 | 209 |
/// |
| 210 | 210 |
/// \note This operator only have to define some strict ordering of |
| 211 | 211 |
/// the items; this order has nothing to do with the iteration |
| 212 | 212 |
/// ordering of the items. |
| 213 | 213 |
bool operator<(Edge) const { return false; }
|
| 214 | 214 |
}; |
| 215 | 215 |
|
| 216 | 216 |
/// This iterator goes through each edge. |
| 217 | 217 |
|
| 218 | 218 |
/// This iterator goes through each edge of a graph. |
| 219 | 219 |
/// Its usage is quite simple, for example you can count the number |
| 220 | 220 |
/// of edges in a graph \c g of type \c Graph as follows: |
| 221 | 221 |
///\code |
| 222 | 222 |
/// int count=0; |
| 223 | 223 |
/// for(Graph::EdgeIt e(g); e!=INVALID; ++e) ++count; |
| 224 | 224 |
///\endcode |
| 225 | 225 |
class EdgeIt : public Edge {
|
| 226 | 226 |
public: |
| 227 | 227 |
/// Default constructor |
| 228 | 228 |
|
| 229 | 229 |
/// @warning The default constructor sets the iterator |
| 230 | 230 |
/// to an undefined value. |
| 231 | 231 |
EdgeIt() { }
|
| 232 | 232 |
/// Copy constructor. |
| 233 | 233 |
|
| 234 | 234 |
/// Copy constructor. |
| 235 | 235 |
/// |
| 236 | 236 |
EdgeIt(const EdgeIt& e) : Edge(e) { }
|
| 237 | 237 |
/// Initialize the iterator to be invalid. |
| 238 | 238 |
|
| 239 | 239 |
/// Initialize the iterator to be invalid. |
| 240 | 240 |
/// |
| 241 | 241 |
EdgeIt(Invalid) { }
|
| 242 | 242 |
/// This constructor sets the iterator to the first edge. |
| 243 | 243 |
|
| 244 | 244 |
/// This constructor sets the iterator to the first edge. |
| 245 | 245 |
EdgeIt(const Graph&) { }
|
| 246 | 246 |
/// Edge -> EdgeIt conversion |
| 247 | 247 |
|
| 248 | 248 |
/// Sets the iterator to the value of the trivial iterator. |
| 249 | 249 |
/// This feature necessitates that each time we |
| 250 | 250 |
/// iterate the edge-set, the iteration order is the |
| 251 | 251 |
/// same. |
| 252 | 252 |
EdgeIt(const Graph&, const Edge&) { }
|
| 253 | 253 |
/// Next edge |
| 254 | 254 |
|
| 255 | 255 |
/// Assign the iterator to the next edge. |
| 256 | 256 |
EdgeIt& operator++() { return *this; }
|
| 257 | 257 |
}; |
| 258 | 258 |
|
| 259 | 259 |
/// \brief This iterator goes trough the incident undirected |
| 260 | 260 |
/// arcs of a node. |
| 261 | 261 |
/// |
| 262 | 262 |
/// This iterator goes trough the incident edges |
| 263 | 263 |
/// of a certain node of a graph. You should assume that the |
| 264 | 264 |
/// loop arcs will be iterated twice. |
| 265 | 265 |
/// |
| 266 | 266 |
/// Its usage is quite simple, for example you can compute the |
| 267 | 267 |
/// degree (i.e. count the number of incident arcs of a node \c n |
| 268 | 268 |
/// in graph \c g of type \c Graph as follows. |
| 269 | 269 |
/// |
| 270 | 270 |
///\code |
| 271 | 271 |
/// int count=0; |
| 272 | 272 |
/// for(Graph::IncEdgeIt e(g, n); e!=INVALID; ++e) ++count; |
| 273 | 273 |
///\endcode |
| 274 | 274 |
class IncEdgeIt : public Edge {
|
| 275 | 275 |
public: |
| 276 | 276 |
/// Default constructor |
| 277 | 277 |
|
| 278 | 278 |
/// @warning The default constructor sets the iterator |
| 279 | 279 |
/// to an undefined value. |
| 280 | 280 |
IncEdgeIt() { }
|
| 281 | 281 |
/// Copy constructor. |
| 282 | 282 |
|
| 283 | 283 |
/// Copy constructor. |
| 284 | 284 |
/// |
| 285 | 285 |
IncEdgeIt(const IncEdgeIt& e) : Edge(e) { }
|
| 286 | 286 |
/// Initialize the iterator to be invalid. |
| 287 | 287 |
|
| 288 | 288 |
/// Initialize the iterator to be invalid. |
| 289 | 289 |
/// |
| 290 | 290 |
IncEdgeIt(Invalid) { }
|
| 291 | 291 |
/// This constructor sets the iterator to first incident arc. |
| 292 | 292 |
|
| 293 | 293 |
/// This constructor set the iterator to the first incident arc of |
| 294 | 294 |
/// the node. |
| 295 | 295 |
IncEdgeIt(const Graph&, const Node&) { }
|
| 296 | 296 |
/// Edge -> IncEdgeIt conversion |
| 297 | 297 |
|
| 298 | 298 |
/// Sets the iterator to the value of the trivial iterator \c e. |
| 299 | 299 |
/// This feature necessitates that each time we |
| 300 | 300 |
/// iterate the arc-set, the iteration order is the same. |
| 301 | 301 |
IncEdgeIt(const Graph&, const Edge&) { }
|
| 302 | 302 |
/// Next incident arc |
| 303 | 303 |
|
| 304 | 304 |
/// Assign the iterator to the next incident arc |
| 305 | 305 |
/// of the corresponding node. |
| 306 | 306 |
IncEdgeIt& operator++() { return *this; }
|
| 307 | 307 |
}; |
| 308 | 308 |
|
| 309 | 309 |
/// The directed arc type. |
| 310 | 310 |
|
| 311 | 311 |
/// The directed arc type. It can be converted to the |
| 312 | 312 |
/// edge or it should be inherited from the undirected |
| 313 |
/// arc. |
|
| 314 |
class Arc : public Edge {
|
|
| 313 |
/// edge. |
|
| 314 |
class Arc {
|
|
| 315 | 315 |
public: |
| 316 | 316 |
/// Default constructor |
| 317 | 317 |
|
| 318 | 318 |
/// @warning The default constructor sets the iterator |
| 319 | 319 |
/// to an undefined value. |
| 320 | 320 |
Arc() { }
|
| 321 | 321 |
/// Copy constructor. |
| 322 | 322 |
|
| 323 | 323 |
/// Copy constructor. |
| 324 | 324 |
/// |
| 325 |
Arc(const Arc& |
|
| 325 |
Arc(const Arc&) { }
|
|
| 326 | 326 |
/// Initialize the iterator to be invalid. |
| 327 | 327 |
|
| 328 | 328 |
/// Initialize the iterator to be invalid. |
| 329 | 329 |
/// |
| 330 | 330 |
Arc(Invalid) { }
|
| 331 | 331 |
/// Equality operator |
| 332 | 332 |
|
| 333 | 333 |
/// Two iterators are equal if and only if they point to the |
| 334 | 334 |
/// same object or both are invalid. |
| 335 | 335 |
bool operator==(Arc) const { return true; }
|
| 336 | 336 |
/// Inequality operator |
| 337 | 337 |
|
| 338 | 338 |
/// \sa operator==(Arc n) |
| 339 | 339 |
/// |
| 340 | 340 |
bool operator!=(Arc) const { return true; }
|
| 341 | 341 |
|
| 342 | 342 |
/// Artificial ordering operator. |
| 343 | 343 |
|
| 344 | 344 |
/// To allow the use of graph descriptors as key type in std::map or |
| 345 | 345 |
/// similar associative container we require this. |
| 346 | 346 |
/// |
| 347 | 347 |
/// \note This operator only have to define some strict ordering of |
| 348 | 348 |
/// the items; this order has nothing to do with the iteration |
| 349 | 349 |
/// ordering of the items. |
| 350 | 350 |
bool operator<(Arc) const { return false; }
|
| 351 | 351 |
|
| 352 |
/// Converison to Edge |
|
| 353 |
operator Edge() const { return Edge(); }
|
|
| 352 | 354 |
}; |
| 353 | 355 |
/// This iterator goes through each directed arc. |
| 354 | 356 |
|
| 355 | 357 |
/// This iterator goes through each arc of a graph. |
| 356 | 358 |
/// Its usage is quite simple, for example you can count the number |
| 357 | 359 |
/// of arcs in a graph \c g of type \c Graph as follows: |
| 358 | 360 |
///\code |
| 359 | 361 |
/// int count=0; |
| 360 | 362 |
/// for(Graph::ArcIt e(g); e!=INVALID; ++e) ++count; |
| 361 | 363 |
///\endcode |
| 362 | 364 |
class ArcIt : public Arc {
|
| 363 | 365 |
public: |
| 364 | 366 |
/// Default constructor |
| 365 | 367 |
|
| 366 | 368 |
/// @warning The default constructor sets the iterator |
| 367 | 369 |
/// to an undefined value. |
| 368 | 370 |
ArcIt() { }
|
| 369 | 371 |
/// Copy constructor. |
| 370 | 372 |
|
| 371 | 373 |
/// Copy constructor. |
| 372 | 374 |
/// |
| 373 | 375 |
ArcIt(const ArcIt& e) : Arc(e) { }
|
| 374 | 376 |
/// Initialize the iterator to be invalid. |
| 375 | 377 |
|
| 376 | 378 |
/// Initialize the iterator to be invalid. |
| 377 | 379 |
/// |
| 378 | 380 |
ArcIt(Invalid) { }
|
| 379 | 381 |
/// This constructor sets the iterator to the first arc. |
| 380 | 382 |
|
| 381 | 383 |
/// This constructor sets the iterator to the first arc of \c g. |
| 382 | 384 |
///@param g the graph |
| 383 | 385 |
ArcIt(const Graph &g) { ignore_unused_variable_warning(g); }
|
| 384 | 386 |
/// Arc -> ArcIt conversion |
| 385 | 387 |
|
| 386 | 388 |
/// Sets the iterator to the value of the trivial iterator \c e. |
| 387 | 389 |
/// This feature necessitates that each time we |
| 388 | 390 |
/// iterate the arc-set, the iteration order is the same. |
| 389 | 391 |
ArcIt(const Graph&, const Arc&) { }
|
| 390 | 392 |
///Next arc |
| 391 | 393 |
|
| 392 | 394 |
/// Assign the iterator to the next arc. |
| 393 | 395 |
ArcIt& operator++() { return *this; }
|
| 394 | 396 |
}; |
| 395 | 397 |
|
| 396 | 398 |
/// This iterator goes trough the outgoing directed arcs of a node. |
| 397 | 399 |
|
| 398 | 400 |
/// This iterator goes trough the \e outgoing arcs of a certain node |
| 399 | 401 |
/// of a graph. |
| 400 | 402 |
/// Its usage is quite simple, for example you can count the number |
| 401 | 403 |
/// of outgoing arcs of a node \c n |
| 402 | 404 |
/// in graph \c g of type \c Graph as follows. |
| 403 | 405 |
///\code |
| 404 | 406 |
/// int count=0; |
| 405 | 407 |
/// for (Graph::OutArcIt e(g, n); e!=INVALID; ++e) ++count; |
| 406 | 408 |
///\endcode |
| 407 | 409 |
|
| 408 | 410 |
class OutArcIt : public Arc {
|
| 409 | 411 |
public: |
| 410 | 412 |
/// Default constructor |
| 411 | 413 |
|
| 412 | 414 |
/// @warning The default constructor sets the iterator |
| 413 | 415 |
/// to an undefined value. |
| 414 | 416 |
OutArcIt() { }
|
| 415 | 417 |
/// Copy constructor. |
| 416 | 418 |
|
| 417 | 419 |
/// Copy constructor. |
| 418 | 420 |
/// |
| 419 | 421 |
OutArcIt(const OutArcIt& e) : Arc(e) { }
|
| 420 | 422 |
/// Initialize the iterator to be invalid. |
| 421 | 423 |
|
| 422 | 424 |
/// Initialize the iterator to be invalid. |
| 423 | 425 |
/// |
| 424 | 426 |
OutArcIt(Invalid) { }
|
| 425 | 427 |
/// This constructor sets the iterator to the first outgoing arc. |
| 426 | 428 |
|
| 427 | 429 |
/// This constructor sets the iterator to the first outgoing arc of |
| 428 | 430 |
/// the node. |
| 429 | 431 |
///@param n the node |
| 430 | 432 |
///@param g the graph |
| 431 | 433 |
OutArcIt(const Graph& n, const Node& g) {
|
| 432 | 434 |
ignore_unused_variable_warning(n); |
| 433 | 435 |
ignore_unused_variable_warning(g); |
| 434 | 436 |
} |
| 435 | 437 |
/// Arc -> OutArcIt conversion |
| 436 | 438 |
|
| 437 | 439 |
/// Sets the iterator to the value of the trivial iterator. |
| 438 | 440 |
/// This feature necessitates that each time we |
| 439 | 441 |
/// iterate the arc-set, the iteration order is the same. |
| 440 | 442 |
OutArcIt(const Graph&, const Arc&) { }
|
| 441 | 443 |
///Next outgoing arc |
| 442 | 444 |
|
| 443 | 445 |
/// Assign the iterator to the next |
| 444 | 446 |
/// outgoing arc of the corresponding node. |
| 445 | 447 |
OutArcIt& operator++() { return *this; }
|
| 446 | 448 |
}; |
| 447 | 449 |
|
| 448 | 450 |
/// This iterator goes trough the incoming directed arcs of a node. |
| 449 | 451 |
|
| 450 | 452 |
/// This iterator goes trough the \e incoming arcs of a certain node |
| 451 | 453 |
/// of a graph. |
| 452 | 454 |
/// Its usage is quite simple, for example you can count the number |
| 453 | 455 |
/// of outgoing arcs of a node \c n |
| 454 | 456 |
/// in graph \c g of type \c Graph as follows. |
| 455 | 457 |
///\code |
| 456 | 458 |
/// int count=0; |
| 457 | 459 |
/// for(Graph::InArcIt e(g, n); e!=INVALID; ++e) ++count; |
| 458 | 460 |
///\endcode |
| 459 | 461 |
|
| 460 | 462 |
class InArcIt : public Arc {
|
| 461 | 463 |
public: |
| 462 | 464 |
/// Default constructor |
| 463 | 465 |
|
| 464 | 466 |
/// @warning The default constructor sets the iterator |
| 465 | 467 |
/// to an undefined value. |
| 466 | 468 |
InArcIt() { }
|
| 467 | 469 |
/// Copy constructor. |
| 468 | 470 |
|
| 469 | 471 |
/// Copy constructor. |
| 470 | 472 |
/// |
| 471 | 473 |
InArcIt(const InArcIt& e) : Arc(e) { }
|
| 472 | 474 |
/// Initialize the iterator to be invalid. |
| 473 | 475 |
|
| 474 | 476 |
/// Initialize the iterator to be invalid. |
| 475 | 477 |
/// |
| 476 | 478 |
InArcIt(Invalid) { }
|
| 477 | 479 |
/// This constructor sets the iterator to first incoming arc. |
| 478 | 480 |
|
| 479 | 481 |
/// This constructor set the iterator to the first incoming arc of |
| 480 | 482 |
/// the node. |
| 481 | 483 |
///@param n the node |
| 482 | 484 |
///@param g the graph |
| 483 | 485 |
InArcIt(const Graph& g, const Node& n) {
|
| 484 | 486 |
ignore_unused_variable_warning(n); |
| 485 | 487 |
ignore_unused_variable_warning(g); |
| 486 | 488 |
} |
| 487 | 489 |
/// Arc -> InArcIt conversion |
| 488 | 490 |
|
| 489 | 491 |
/// Sets the iterator to the value of the trivial iterator \c e. |
| 490 | 492 |
/// This feature necessitates that each time we |
| 491 | 493 |
/// iterate the arc-set, the iteration order is the same. |
| 492 | 494 |
InArcIt(const Graph&, const Arc&) { }
|
| 493 | 495 |
/// Next incoming arc |
| 494 | 496 |
|
| 495 | 497 |
/// Assign the iterator to the next inarc of the corresponding node. |
| 496 | 498 |
/// |
| 497 | 499 |
InArcIt& operator++() { return *this; }
|
| 498 | 500 |
}; |
| 499 | 501 |
|
| 500 | 502 |
/// \brief Reference map of the nodes to type \c T. |
| 501 | 503 |
/// |
| 502 | 504 |
/// Reference map of the nodes to type \c T. |
| 503 | 505 |
template<class T> |
| 504 | 506 |
class NodeMap : public ReferenceMap<Node, T, T&, const T&> |
| 505 | 507 |
{
|
| 506 | 508 |
public: |
| 507 | 509 |
|
| 508 | 510 |
///\e |
| 509 | 511 |
NodeMap(const Graph&) { }
|
| 510 | 512 |
///\e |
| 511 | 513 |
NodeMap(const Graph&, T) { }
|
| 512 | 514 |
|
| 513 | 515 |
private: |
| 514 | 516 |
///Copy constructor |
| 515 | 517 |
NodeMap(const NodeMap& nm) : |
| 516 | 518 |
ReferenceMap<Node, T, T&, const T&>(nm) { }
|
| 517 | 519 |
///Assignment operator |
| 518 | 520 |
template <typename CMap> |
| 519 | 521 |
NodeMap& operator=(const CMap&) {
|
| 520 | 522 |
checkConcept<ReadMap<Node, T>, CMap>(); |
| 521 | 523 |
return *this; |
| 522 | 524 |
} |
| 523 | 525 |
}; |
| 524 | 526 |
|
| 525 | 527 |
/// \brief Reference map of the arcs to type \c T. |
| 526 | 528 |
/// |
| 527 | 529 |
/// Reference map of the arcs to type \c T. |
| 528 | 530 |
template<class T> |
| 529 | 531 |
class ArcMap : public ReferenceMap<Arc, T, T&, const T&> |
| 530 | 532 |
{
|
| 531 | 533 |
public: |
| 532 | 534 |
|
| 533 | 535 |
///\e |
| 534 | 536 |
ArcMap(const Graph&) { }
|
| 535 | 537 |
///\e |
| 536 | 538 |
ArcMap(const Graph&, T) { }
|
| 537 | 539 |
private: |
| 538 | 540 |
///Copy constructor |
| 539 | 541 |
ArcMap(const ArcMap& em) : |
| 540 | 542 |
ReferenceMap<Arc, T, T&, const T&>(em) { }
|
| 541 | 543 |
///Assignment operator |
| 542 | 544 |
template <typename CMap> |
| 543 | 545 |
ArcMap& operator=(const CMap&) {
|
| 544 | 546 |
checkConcept<ReadMap<Arc, T>, CMap>(); |
| 545 | 547 |
return *this; |
| 546 | 548 |
} |
| 547 | 549 |
}; |
| 548 | 550 |
|
| 549 | 551 |
/// Reference map of the edges to type \c T. |
| 550 | 552 |
|
| 551 | 553 |
/// Reference map of the edges to type \c T. |
| 552 | 554 |
template<class T> |
| 553 | 555 |
class EdgeMap : public ReferenceMap<Edge, T, T&, const T&> |
| 554 | 556 |
{
|
| 555 | 557 |
public: |
| 556 | 558 |
|
| 557 | 559 |
///\e |
| 558 | 560 |
EdgeMap(const Graph&) { }
|
| 559 | 561 |
///\e |
| 560 | 562 |
EdgeMap(const Graph&, T) { }
|
| 561 | 563 |
private: |
| 562 | 564 |
///Copy constructor |
| 563 | 565 |
EdgeMap(const EdgeMap& em) : |
| 564 | 566 |
ReferenceMap<Edge, T, T&, const T&>(em) {}
|
| 565 | 567 |
///Assignment operator |
| 566 | 568 |
template <typename CMap> |
| 567 | 569 |
EdgeMap& operator=(const CMap&) {
|
| 568 | 570 |
checkConcept<ReadMap<Edge, T>, CMap>(); |
| 569 | 571 |
return *this; |
| 570 | 572 |
} |
| 571 | 573 |
}; |
| 572 | 574 |
|
| 573 | 575 |
/// \brief Direct the given edge. |
| 574 | 576 |
/// |
| 575 | 577 |
/// Direct the given edge. The returned arc source |
| 576 | 578 |
/// will be the given node. |
| 577 | 579 |
Arc direct(const Edge&, const Node&) const {
|
| 578 | 580 |
return INVALID; |
| 579 | 581 |
} |
| 580 | 582 |
|
| 581 | 583 |
/// \brief Direct the given edge. |
| 582 | 584 |
/// |
| 583 | 585 |
/// Direct the given edge. The returned arc |
| 584 | 586 |
/// represents the given edge and the direction comes |
| 585 | 587 |
/// from the bool parameter. The source of the edge and |
| 586 | 588 |
/// the directed arc is the same when the given bool is true. |
| 587 | 589 |
Arc direct(const Edge&, bool) const {
|
| 588 | 590 |
return INVALID; |
| 589 | 591 |
} |
| 590 | 592 |
|
| 591 | 593 |
/// \brief Returns true if the arc has default orientation. |
| 592 | 594 |
/// |
| 593 | 595 |
/// Returns whether the given directed arc is same orientation as |
| 594 | 596 |
/// the corresponding edge's default orientation. |
| 595 | 597 |
bool direction(Arc) const { return true; }
|
| 596 | 598 |
|
| 597 | 599 |
/// \brief Returns the opposite directed arc. |
| 598 | 600 |
/// |
| 599 | 601 |
/// Returns the opposite directed arc. |
| 600 | 602 |
Arc oppositeArc(Arc) const { return INVALID; }
|
| 601 | 603 |
|
| 602 | 604 |
/// \brief Opposite node on an arc |
| 603 | 605 |
/// |
| 604 | 606 |
/// \return The opposite of the given node on the given edge. |
| 605 | 607 |
Node oppositeNode(Node, Edge) const { return INVALID; }
|
| 606 | 608 |
|
| 607 | 609 |
/// \brief First node of the edge. |
| 608 | 610 |
/// |
| 609 | 611 |
/// \return The first node of the given edge. |
| 610 | 612 |
/// |
| 611 | 613 |
/// Naturally edges don't have direction and thus |
| 612 | 614 |
/// don't have source and target node. However we use \c u() and \c v() |
| 613 | 615 |
/// methods to query the two nodes of the arc. The direction of the |
| 614 | 616 |
/// arc which arises this way is called the inherent direction of the |
| 615 | 617 |
/// edge, and is used to define the "default" direction |
| 616 | 618 |
/// of the directed versions of the arcs. |
| 617 | 619 |
/// \sa v() |
| 618 | 620 |
/// \sa direction() |
| 619 | 621 |
Node u(Edge) const { return INVALID; }
|
| 620 | 622 |
|
| 621 | 623 |
/// \brief Second node of the edge. |
| 622 | 624 |
/// |
| 623 | 625 |
/// \return The second node of the given edge. |
| 624 | 626 |
/// |
| 625 | 627 |
/// Naturally edges don't have direction and thus |
| 626 | 628 |
/// don't have source and target node. However we use \c u() and \c v() |
| 627 | 629 |
/// methods to query the two nodes of the arc. The direction of the |
| 628 | 630 |
/// arc which arises this way is called the inherent direction of the |
| 629 | 631 |
/// edge, and is used to define the "default" direction |
| 630 | 632 |
/// of the directed versions of the arcs. |
| 631 | 633 |
/// \sa u() |
| 632 | 634 |
/// \sa direction() |
| 633 | 635 |
Node v(Edge) const { return INVALID; }
|
| 634 | 636 |
|
| 635 | 637 |
/// \brief Source node of the directed arc. |
| 636 | 638 |
Node source(Arc) const { return INVALID; }
|
| 637 | 639 |
|
| 638 | 640 |
/// \brief Target node of the directed arc. |
| 639 | 641 |
Node target(Arc) const { return INVALID; }
|
| 640 | 642 |
|
| 641 | 643 |
/// \brief Returns the id of the node. |
| 642 | 644 |
int id(Node) const { return -1; }
|
| 643 | 645 |
|
| 644 | 646 |
/// \brief Returns the id of the edge. |
| 645 | 647 |
int id(Edge) const { return -1; }
|
| 646 | 648 |
|
| 647 | 649 |
/// \brief Returns the id of the arc. |
| 648 | 650 |
int id(Arc) const { return -1; }
|
| 649 | 651 |
|
| 650 | 652 |
/// \brief Returns the node with the given id. |
| 651 | 653 |
/// |
| 652 | 654 |
/// \pre The argument should be a valid node id in the graph. |
| 653 | 655 |
Node nodeFromId(int) const { return INVALID; }
|
| 654 | 656 |
|
| 655 | 657 |
/// \brief Returns the edge with the given id. |
| 656 | 658 |
/// |
| 657 | 659 |
/// \pre The argument should be a valid edge id in the graph. |
| 658 | 660 |
Edge edgeFromId(int) const { return INVALID; }
|
| 659 | 661 |
|
| 660 | 662 |
/// \brief Returns the arc with the given id. |
| 661 | 663 |
/// |
| 662 | 664 |
/// \pre The argument should be a valid arc id in the graph. |
| 663 | 665 |
Arc arcFromId(int) const { return INVALID; }
|
| 664 | 666 |
|
| 665 | 667 |
/// \brief Returns an upper bound on the node IDs. |
| 666 | 668 |
int maxNodeId() const { return -1; }
|
| 667 | 669 |
|
| 668 | 670 |
/// \brief Returns an upper bound on the edge IDs. |
| 669 | 671 |
int maxEdgeId() const { return -1; }
|
| 670 | 672 |
|
| 671 | 673 |
/// \brief Returns an upper bound on the arc IDs. |
| 672 | 674 |
int maxArcId() const { return -1; }
|
| 673 | 675 |
|
| 674 | 676 |
void first(Node&) const {}
|
| 675 | 677 |
void next(Node&) const {}
|
| 676 | 678 |
|
| 677 | 679 |
void first(Edge&) const {}
|
| 678 | 680 |
void next(Edge&) const {}
|
| 679 | 681 |
|
| 680 | 682 |
void first(Arc&) const {}
|
| 681 | 683 |
void next(Arc&) const {}
|
| 682 | 684 |
|
| 683 | 685 |
void firstOut(Arc&, Node) const {}
|
| 684 | 686 |
void nextOut(Arc&) const {}
|
| 685 | 687 |
|
| 686 | 688 |
void firstIn(Arc&, Node) const {}
|
| 687 | 689 |
void nextIn(Arc&) const {}
|
| 688 | 690 |
|
| 689 | 691 |
void firstInc(Edge &, bool &, const Node &) const {}
|
| 690 | 692 |
void nextInc(Edge &, bool &) const {}
|
| 691 | 693 |
|
| 692 | 694 |
// The second parameter is dummy. |
| 693 | 695 |
Node fromId(int, Node) const { return INVALID; }
|
| 694 | 696 |
// The second parameter is dummy. |
| 695 | 697 |
Edge fromId(int, Edge) const { return INVALID; }
|
| 696 | 698 |
// The second parameter is dummy. |
| 697 | 699 |
Arc fromId(int, Arc) const { return INVALID; }
|
| 698 | 700 |
|
| 699 | 701 |
// Dummy parameter. |
| 700 | 702 |
int maxId(Node) const { return -1; }
|
| 701 | 703 |
// Dummy parameter. |
| 702 | 704 |
int maxId(Edge) const { return -1; }
|
| 703 | 705 |
// Dummy parameter. |
| 704 | 706 |
int maxId(Arc) const { return -1; }
|
| 705 | 707 |
|
| 706 | 708 |
/// \brief Base node of the iterator |
| 707 | 709 |
/// |
| 708 | 710 |
/// Returns the base node (the source in this case) of the iterator |
| 709 | 711 |
Node baseNode(OutArcIt e) const {
|
| 710 | 712 |
return source(e); |
| 711 | 713 |
} |
| 712 | 714 |
/// \brief Running node of the iterator |
| 713 | 715 |
/// |
| 714 | 716 |
/// Returns the running node (the target in this case) of the |
| 715 | 717 |
/// iterator |
| 716 | 718 |
Node runningNode(OutArcIt e) const {
|
| 717 | 719 |
return target(e); |
| 718 | 720 |
} |
| 719 | 721 |
|
| 720 | 722 |
/// \brief Base node of the iterator |
| 721 | 723 |
/// |
| 722 | 724 |
/// Returns the base node (the target in this case) of the iterator |
| 723 | 725 |
Node baseNode(InArcIt e) const {
|
| 724 | 726 |
return target(e); |
| 725 | 727 |
} |
| 726 | 728 |
/// \brief Running node of the iterator |
| 727 | 729 |
/// |
| 728 | 730 |
/// Returns the running node (the source in this case) of the |
| 729 | 731 |
/// iterator |
| 730 | 732 |
Node runningNode(InArcIt e) const {
|
| 731 | 733 |
return source(e); |
| 732 | 734 |
} |
| 733 | 735 |
|
| 734 | 736 |
/// \brief Base node of the iterator |
| 735 | 737 |
/// |
| 736 | 738 |
/// Returns the base node of the iterator |
| 737 | 739 |
Node baseNode(IncEdgeIt) const {
|
| 738 | 740 |
return INVALID; |
| 739 | 741 |
} |
| 740 | 742 |
|
| 741 | 743 |
/// \brief Running node of the iterator |
| 742 | 744 |
/// |
| 743 | 745 |
/// Returns the running node of the iterator |
| 744 | 746 |
Node runningNode(IncEdgeIt) const {
|
| 745 | 747 |
return INVALID; |
| 746 | 748 |
} |
| 747 | 749 |
|
| 748 | 750 |
template <typename _Graph> |
| 749 | 751 |
struct Constraints {
|
| 750 | 752 |
void constraints() {
|
| 751 | 753 |
checkConcept<BaseGraphComponent, _Graph>(); |
| 752 | 754 |
checkConcept<IterableGraphComponent<>, _Graph>(); |
| 753 | 755 |
checkConcept<IDableGraphComponent<>, _Graph>(); |
| 754 | 756 |
checkConcept<MappableGraphComponent<>, _Graph>(); |
| 755 | 757 |
} |
| 756 | 758 |
}; |
| 757 | 759 |
|
| 758 | 760 |
}; |
| 759 | 761 |
|
| 760 | 762 |
} |
| 761 | 763 |
|
| 762 | 764 |
} |
| 763 | 765 |
|
| 764 | 766 |
#endif |
| 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
|
| 2 |
* |
|
| 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
|
| 4 |
* |
|
| 5 |
* Copyright (C) 2003-2009 |
|
| 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
|
| 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
|
| 8 |
* |
|
| 9 |
* Permission to use, modify and distribute this software is granted |
|
| 10 |
* provided that this copyright notice appears in all copies. For |
|
| 11 |
* precise terms see the accompanying LICENSE file. |
|
| 12 |
* |
|
| 13 |
* This software is provided "AS IS" with no warranty of any kind, |
|
| 14 |
* express or implied, and with no claim as to its suitability for any |
|
| 15 |
* purpose. |
|
| 16 |
* |
|
| 17 |
*/ |
|
| 18 |
|
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| 19 |
#ifndef LEMON_BITS_BASE_EXTENDER_H |
|
| 20 |
#define LEMON_BITS_BASE_EXTENDER_H |
|
| 21 |
|
|
| 22 |
#include <lemon/core.h> |
|
| 23 |
#include <lemon/error.h> |
|
| 24 |
|
|
| 25 |
#include <lemon/bits/map_extender.h> |
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| 26 |
#include <lemon/bits/default_map.h> |
|
| 27 |
|
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| 28 |
#include <lemon/concept_check.h> |
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| 29 |
#include <lemon/concepts/maps.h> |
|
| 30 |
|
|
| 31 |
//\ingroup digraphbits |
|
| 32 |
//\file |
|
| 33 |
//\brief Extenders for the graph types |
|
| 34 |
namespace lemon {
|
|
| 35 |
|
|
| 36 |
// \ingroup digraphbits |
|
| 37 |
// |
|
| 38 |
// \brief BaseDigraph to BaseGraph extender |
|
| 39 |
template <typename Base> |
|
| 40 |
class UndirDigraphExtender : public Base {
|
|
| 41 |
typedef Base Parent; |
|
| 42 |
|
|
| 43 |
public: |
|
| 44 |
|
|
| 45 |
typedef typename Parent::Arc Edge; |
|
| 46 |
typedef typename Parent::Node Node; |
|
| 47 |
|
|
| 48 |
typedef True UndirectedTag; |
|
| 49 |
|
|
| 50 |
class Arc : public Edge {
|
|
| 51 |
friend class UndirDigraphExtender; |
|
| 52 |
|
|
| 53 |
protected: |
|
| 54 |
bool forward; |
|
| 55 |
|
|
| 56 |
Arc(const Edge &ue, bool _forward) : |
|
| 57 |
Edge(ue), forward(_forward) {}
|
|
| 58 |
|
|
| 59 |
public: |
|
| 60 |
Arc() {}
|
|
| 61 |
|
|
| 62 |
// Invalid arc constructor |
|
| 63 |
Arc(Invalid i) : Edge(i), forward(true) {}
|
|
| 64 |
|
|
| 65 |
bool operator==(const Arc &that) const {
|
|
| 66 |
return forward==that.forward && Edge(*this)==Edge(that); |
|
| 67 |
} |
|
| 68 |
bool operator!=(const Arc &that) const {
|
|
| 69 |
return forward!=that.forward || Edge(*this)!=Edge(that); |
|
| 70 |
} |
|
| 71 |
bool operator<(const Arc &that) const {
|
|
| 72 |
return forward<that.forward || |
|
| 73 |
(!(that.forward<forward) && Edge(*this)<Edge(that)); |
|
| 74 |
} |
|
| 75 |
}; |
|
| 76 |
|
|
| 77 |
// First node of the edge |
|
| 78 |
Node u(const Edge &e) const {
|
|
| 79 |
return Parent::source(e); |
|
| 80 |
} |
|
| 81 |
|
|
| 82 |
// Source of the given arc |
|
| 83 |
Node source(const Arc &e) const {
|
|
| 84 |
return e.forward ? Parent::source(e) : Parent::target(e); |
|
| 85 |
} |
|
| 86 |
|
|
| 87 |
// Second node of the edge |
|
| 88 |
Node v(const Edge &e) const {
|
|
| 89 |
return Parent::target(e); |
|
| 90 |
} |
|
| 91 |
|
|
| 92 |
// Target of the given arc |
|
| 93 |
Node target(const Arc &e) const {
|
|
| 94 |
return e.forward ? Parent::target(e) : Parent::source(e); |
|
| 95 |
} |
|
| 96 |
|
|
| 97 |
// \brief Directed arc from an edge. |
|
| 98 |
// |
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| 99 |
// Returns a directed arc corresponding to the specified edge. |
|
| 100 |
// If the given bool is true, the first node of the given edge and |
|
| 101 |
// the source node of the returned arc are the same. |
|
| 102 |
static Arc direct(const Edge &e, bool d) {
|
|
| 103 |
return Arc(e, d); |
|
| 104 |
} |
|
| 105 |
|
|
| 106 |
// Returns whether the given directed arc has the same orientation |
|
| 107 |
// as the corresponding edge. |
|
| 108 |
static bool direction(const Arc &a) { return a.forward; }
|
|
| 109 |
|
|
| 110 |
using Parent::first; |
|
| 111 |
using Parent::next; |
|
| 112 |
|
|
| 113 |
void first(Arc &e) const {
|
|
| 114 |
Parent::first(e); |
|
| 115 |
e.forward=true; |
|
| 116 |
} |
|
| 117 |
|
|
| 118 |
void next(Arc &e) const {
|
|
| 119 |
if( e.forward ) {
|
|
| 120 |
e.forward = false; |
|
| 121 |
} |
|
| 122 |
else {
|
|
| 123 |
Parent::next(e); |
|
| 124 |
e.forward = true; |
|
| 125 |
} |
|
| 126 |
} |
|
| 127 |
|
|
| 128 |
void firstOut(Arc &e, const Node &n) const {
|
|
| 129 |
Parent::firstIn(e,n); |
|
| 130 |
if( Edge(e) != INVALID ) {
|
|
| 131 |
e.forward = false; |
|
| 132 |
} |
|
| 133 |
else {
|
|
| 134 |
Parent::firstOut(e,n); |
|
| 135 |
e.forward = true; |
|
| 136 |
} |
|
| 137 |
} |
|
| 138 |
void nextOut(Arc &e) const {
|
|
| 139 |
if( ! e.forward ) {
|
|
| 140 |
Node n = Parent::target(e); |
|
| 141 |
Parent::nextIn(e); |
|
| 142 |
if( Edge(e) == INVALID ) {
|
|
| 143 |
Parent::firstOut(e, n); |
|
| 144 |
e.forward = true; |
|
| 145 |
} |
|
| 146 |
} |
|
| 147 |
else {
|
|
| 148 |
Parent::nextOut(e); |
|
| 149 |
} |
|
| 150 |
} |
|
| 151 |
|
|
| 152 |
void firstIn(Arc &e, const Node &n) const {
|
|
| 153 |
Parent::firstOut(e,n); |
|
| 154 |
if( Edge(e) != INVALID ) {
|
|
| 155 |
e.forward = false; |
|
| 156 |
} |
|
| 157 |
else {
|
|
| 158 |
Parent::firstIn(e,n); |
|
| 159 |
e.forward = true; |
|
| 160 |
} |
|
| 161 |
} |
|
| 162 |
void nextIn(Arc &e) const {
|
|
| 163 |
if( ! e.forward ) {
|
|
| 164 |
Node n = Parent::source(e); |
|
| 165 |
Parent::nextOut(e); |
|
| 166 |
if( Edge(e) == INVALID ) {
|
|
| 167 |
Parent::firstIn(e, n); |
|
| 168 |
e.forward = true; |
|
| 169 |
} |
|
| 170 |
} |
|
| 171 |
else {
|
|
| 172 |
Parent::nextIn(e); |
|
| 173 |
} |
|
| 174 |
} |
|
| 175 |
|
|
| 176 |
void firstInc(Edge &e, bool &d, const Node &n) const {
|
|
| 177 |
d = true; |
|
| 178 |
Parent::firstOut(e, n); |
|
| 179 |
if (e != INVALID) return; |
|
| 180 |
d = false; |
|
| 181 |
Parent::firstIn(e, n); |
|
| 182 |
} |
|
| 183 |
|
|
| 184 |
void nextInc(Edge &e, bool &d) const {
|
|
| 185 |
if (d) {
|
|
| 186 |
Node s = Parent::source(e); |
|
| 187 |
Parent::nextOut(e); |
|
| 188 |
if (e != INVALID) return; |
|
| 189 |
d = false; |
|
| 190 |
Parent::firstIn(e, s); |
|
| 191 |
} else {
|
|
| 192 |
Parent::nextIn(e); |
|
| 193 |
} |
|
| 194 |
} |
|
| 195 |
|
|
| 196 |
Node nodeFromId(int ix) const {
|
|
| 197 |
return Parent::nodeFromId(ix); |
|
| 198 |
} |
|
| 199 |
|
|
| 200 |
Arc arcFromId(int ix) const {
|
|
| 201 |
return direct(Parent::arcFromId(ix >> 1), bool(ix & 1)); |
|
| 202 |
} |
|
| 203 |
|
|
| 204 |
Edge edgeFromId(int ix) const {
|
|
| 205 |
return Parent::arcFromId(ix); |
|
| 206 |
} |
|
| 207 |
|
|
| 208 |
int id(const Node &n) const {
|
|
| 209 |
return Parent::id(n); |
|
| 210 |
} |
|
| 211 |
|
|
| 212 |
int id(const Edge &e) const {
|
|
| 213 |
return Parent::id(e); |
|
| 214 |
} |
|
| 215 |
|
|
| 216 |
int id(const Arc &e) const {
|
|
| 217 |
return 2 * Parent::id(e) + int(e.forward); |
|
| 218 |
} |
|
| 219 |
|
|
| 220 |
int maxNodeId() const {
|
|
| 221 |
return Parent::maxNodeId(); |
|
| 222 |
} |
|
| 223 |
|
|
| 224 |
int maxArcId() const {
|
|
| 225 |
return 2 * Parent::maxArcId() + 1; |
|
| 226 |
} |
|
| 227 |
|
|
| 228 |
int maxEdgeId() const {
|
|
| 229 |
return Parent::maxArcId(); |
|
| 230 |
} |
|
| 231 |
|
|
| 232 |
int arcNum() const {
|
|
| 233 |
return 2 * Parent::arcNum(); |
|
| 234 |
} |
|
| 235 |
|
|
| 236 |
int edgeNum() const {
|
|
| 237 |
return Parent::arcNum(); |
|
| 238 |
} |
|
| 239 |
|
|
| 240 |
Arc findArc(Node s, Node t, Arc p = INVALID) const {
|
|
| 241 |
if (p == INVALID) {
|
|
| 242 |
Edge arc = Parent::findArc(s, t); |
|
| 243 |
if (arc != INVALID) return direct(arc, true); |
|
| 244 |
arc = Parent::findArc(t, s); |
|
| 245 |
if (arc != INVALID) return direct(arc, false); |
|
| 246 |
} else if (direction(p)) {
|
|
| 247 |
Edge arc = Parent::findArc(s, t, p); |
|
| 248 |
if (arc != INVALID) return direct(arc, true); |
|
| 249 |
arc = Parent::findArc(t, s); |
|
| 250 |
if (arc != INVALID) return direct(arc, false); |
|
| 251 |
} else {
|
|
| 252 |
Edge arc = Parent::findArc(t, s, p); |
|
| 253 |
if (arc != INVALID) return direct(arc, false); |
|
| 254 |
} |
|
| 255 |
return INVALID; |
|
| 256 |
} |
|
| 257 |
|
|
| 258 |
Edge findEdge(Node s, Node t, Edge p = INVALID) const {
|
|
| 259 |
if (s != t) {
|
|
| 260 |
if (p == INVALID) {
|
|
| 261 |
Edge arc = Parent::findArc(s, t); |
|
| 262 |
if (arc != INVALID) return arc; |
|
| 263 |
arc = Parent::findArc(t, s); |
|
| 264 |
if (arc != INVALID) return arc; |
|
| 265 |
} else if (Parent::s(p) == s) {
|
|
| 266 |
Edge arc = Parent::findArc(s, t, p); |
|
| 267 |
if (arc != INVALID) return arc; |
|
| 268 |
arc = Parent::findArc(t, s); |
|
| 269 |
if (arc != INVALID) return arc; |
|
| 270 |
} else {
|
|
| 271 |
Edge arc = Parent::findArc(t, s, p); |
|
| 272 |
if (arc != INVALID) return arc; |
|
| 273 |
} |
|
| 274 |
} else {
|
|
| 275 |
return Parent::findArc(s, t, p); |
|
| 276 |
} |
|
| 277 |
return INVALID; |
|
| 278 |
} |
|
| 279 |
}; |
|
| 280 |
|
|
| 281 |
template <typename Base> |
|
| 282 |
class BidirBpGraphExtender : public Base {
|
|
| 283 |
typedef Base Parent; |
|
| 284 |
|
|
| 285 |
public: |
|
| 286 |
typedef BidirBpGraphExtender Digraph; |
|
| 287 |
|
|
| 288 |
typedef typename Parent::Node Node; |
|
| 289 |
typedef typename Parent::Edge Edge; |
|
| 290 |
|
|
| 291 |
|
|
| 292 |
using Parent::first; |
|
| 293 |
using Parent::next; |
|
| 294 |
|
|
| 295 |
using Parent::id; |
|
| 296 |
|
|
| 297 |
class Red : public Node {
|
|
| 298 |
friend class BidirBpGraphExtender; |
|
| 299 |
public: |
|
| 300 |
Red() {}
|
|
| 301 |
Red(const Node& node) : Node(node) {
|
|
| 302 |
LEMON_DEBUG(Parent::red(node) || node == INVALID, |
|
| 303 |
typename Parent::NodeSetError()); |
|
| 304 |
} |
|
| 305 |
Red& operator=(const Node& node) {
|
|
| 306 |
LEMON_DEBUG(Parent::red(node) || node == INVALID, |
|
| 307 |
typename Parent::NodeSetError()); |
|
| 308 |
Node::operator=(node); |
|
| 309 |
return *this; |
|
| 310 |
} |
|
| 311 |
Red(Invalid) : Node(INVALID) {}
|
|
| 312 |
Red& operator=(Invalid) {
|
|
| 313 |
Node::operator=(INVALID); |
|
| 314 |
return *this; |
|
| 315 |
} |
|
| 316 |
}; |
|
| 317 |
|
|
| 318 |
void first(Red& node) const {
|
|
| 319 |
Parent::firstRed(static_cast<Node&>(node)); |
|
| 320 |
} |
|
| 321 |
void next(Red& node) const {
|
|
| 322 |
Parent::nextRed(static_cast<Node&>(node)); |
|
| 323 |
} |
|
| 324 |
|
|
| 325 |
int id(const Red& node) const {
|
|
| 326 |
return Parent::redId(node); |
|
| 327 |
} |
|
| 328 |
|
|
| 329 |
class Blue : public Node {
|
|
| 330 |
friend class BidirBpGraphExtender; |
|
| 331 |
public: |
|
| 332 |
Blue() {}
|
|
| 333 |
Blue(const Node& node) : Node(node) {
|
|
| 334 |
LEMON_DEBUG(Parent::blue(node) || node == INVALID, |
|
| 335 |
typename Parent::NodeSetError()); |
|
| 336 |
} |
|
| 337 |
Blue& operator=(const Node& node) {
|
|
| 338 |
LEMON_DEBUG(Parent::blue(node) || node == INVALID, |
|
| 339 |
typename Parent::NodeSetError()); |
|
| 340 |
Node::operator=(node); |
|
| 341 |
return *this; |
|
| 342 |
} |
|
| 343 |
Blue(Invalid) : Node(INVALID) {}
|
|
| 344 |
Blue& operator=(Invalid) {
|
|
| 345 |
Node::operator=(INVALID); |
|
| 346 |
return *this; |
|
| 347 |
} |
|
| 348 |
}; |
|
| 349 |
|
|
| 350 |
void first(Blue& node) const {
|
|
| 351 |
Parent::firstBlue(static_cast<Node&>(node)); |
|
| 352 |
} |
|
| 353 |
void next(Blue& node) const {
|
|
| 354 |
Parent::nextBlue(static_cast<Node&>(node)); |
|
| 355 |
} |
|
| 356 |
|
|
| 357 |
int id(const Blue& node) const {
|
|
| 358 |
return Parent::redId(node); |
|
| 359 |
} |
|
| 360 |
|
|
| 361 |
Node source(const Edge& arc) const {
|
|
| 362 |
return red(arc); |
|
| 363 |
} |
|
| 364 |
Node target(const Edge& arc) const {
|
|
| 365 |
return blue(arc); |
|
| 366 |
} |
|
| 367 |
|
|
| 368 |
void firstInc(Edge& arc, bool& dir, const Node& node) const {
|
|
| 369 |
if (Parent::red(node)) {
|
|
| 370 |
Parent::firstFromRed(arc, node); |
|
| 371 |
dir = true; |
|
| 372 |
} else {
|
|
| 373 |
Parent::firstFromBlue(arc, node); |
|
| 374 |
dir = static_cast<Edge&>(arc) == INVALID; |
|
| 375 |
} |
|
| 376 |
} |
|
| 377 |
void nextInc(Edge& arc, bool& dir) const {
|
|
| 378 |
if (dir) {
|
|
| 379 |
Parent::nextFromRed(arc); |
|
| 380 |
} else {
|
|
| 381 |
Parent::nextFromBlue(arc); |
|
| 382 |
if (arc == INVALID) dir = true; |
|
| 383 |
} |
|
| 384 |
} |
|
| 385 |
|
|
| 386 |
class Arc : public Edge {
|
|
| 387 |
friend class BidirBpGraphExtender; |
|
| 388 |
protected: |
|
| 389 |
bool forward; |
|
| 390 |
|
|
| 391 |
Arc(const Edge& arc, bool _forward) |
|
| 392 |
: Edge(arc), forward(_forward) {}
|
|
| 393 |
|
|
| 394 |
public: |
|
| 395 |
Arc() {}
|
|
| 396 |
Arc (Invalid) : Edge(INVALID), forward(true) {}
|
|
| 397 |
bool operator==(const Arc& i) const {
|
|
| 398 |
return Edge::operator==(i) && forward == i.forward; |
|
| 399 |
} |
|
| 400 |
bool operator!=(const Arc& i) const {
|
|
| 401 |
return Edge::operator!=(i) || forward != i.forward; |
|
| 402 |
} |
|
| 403 |
bool operator<(const Arc& i) const {
|
|
| 404 |
return Edge::operator<(i) || |
|
| 405 |
(!(i.forward<forward) && Edge(*this)<Edge(i)); |
|
| 406 |
} |
|
| 407 |
}; |
|
| 408 |
|
|
| 409 |
void first(Arc& arc) const {
|
|
| 410 |
Parent::first(static_cast<Edge&>(arc)); |
|
| 411 |
arc.forward = true; |
|
| 412 |
} |
|
| 413 |
|
|
| 414 |
void next(Arc& arc) const {
|
|
| 415 |
if (!arc.forward) {
|
|
| 416 |
Parent::next(static_cast<Edge&>(arc)); |
|
| 417 |
} |
|
| 418 |
arc.forward = !arc.forward; |
|
| 419 |
} |
|
| 420 |
|
|
| 421 |
void firstOut(Arc& arc, const Node& node) const {
|
|
| 422 |
if (Parent::red(node)) {
|
|
| 423 |
Parent::firstFromRed(arc, node); |
|
| 424 |
arc.forward = true; |
|
| 425 |
} else {
|
|
| 426 |
Parent::firstFromBlue(arc, node); |
|
| 427 |
arc.forward = static_cast<Edge&>(arc) == INVALID; |
|
| 428 |
} |
|
| 429 |
} |
|
| 430 |
void nextOut(Arc& arc) const {
|
|
| 431 |
if (arc.forward) {
|
|
| 432 |
Parent::nextFromRed(arc); |
|
| 433 |
} else {
|
|
| 434 |
Parent::nextFromBlue(arc); |
|
| 435 |
arc.forward = static_cast<Edge&>(arc) == INVALID; |
|
| 436 |
} |
|
| 437 |
} |
|
| 438 |
|
|
| 439 |
void firstIn(Arc& arc, const Node& node) const {
|
|
| 440 |
if (Parent::blue(node)) {
|
|
| 441 |
Parent::firstFromBlue(arc, node); |
|
| 442 |
arc.forward = true; |
|
| 443 |
} else {
|
|
| 444 |
Parent::firstFromRed(arc, node); |
|
| 445 |
arc.forward = static_cast<Edge&>(arc) == INVALID; |
|
| 446 |
} |
|
| 447 |
} |
|
| 448 |
void nextIn(Arc& arc) const {
|
|
| 449 |
if (arc.forward) {
|
|
| 450 |
Parent::nextFromBlue(arc); |
|
| 451 |
} else {
|
|
| 452 |
Parent::nextFromRed(arc); |
|
| 453 |
arc.forward = static_cast<Edge&>(arc) == INVALID; |
|
| 454 |
} |
|
| 455 |
} |
|
| 456 |
|
|
| 457 |
Node source(const Arc& arc) const {
|
|
| 458 |
return arc.forward ? Parent::red(arc) : Parent::blue(arc); |
|
| 459 |
} |
|
| 460 |
Node target(const Arc& arc) const {
|
|
| 461 |
return arc.forward ? Parent::blue(arc) : Parent::red(arc); |
|
| 462 |
} |
|
| 463 |
|
|
| 464 |
int id(const Arc& arc) const {
|
|
| 465 |
return (Parent::id(static_cast<const Edge&>(arc)) << 1) + |
|
| 466 |
(arc.forward ? 0 : 1); |
|
| 467 |
} |
|
| 468 |
Arc arcFromId(int ix) const {
|
|
| 469 |
return Arc(Parent::fromEdgeId(ix >> 1), (ix & 1) == 0); |
|
| 470 |
} |
|
| 471 |
int maxArcId() const {
|
|
| 472 |
return (Parent::maxEdgeId() << 1) + 1; |
|
| 473 |
} |
|
| 474 |
|
|
| 475 |
bool direction(const Arc& arc) const {
|
|
| 476 |
return arc.forward; |
|
| 477 |
} |
|
| 478 |
|
|
| 479 |
Arc direct(const Edge& arc, bool dir) const {
|
|
| 480 |
return Arc(arc, dir); |
|
| 481 |
} |
|
| 482 |
|
|
| 483 |
int arcNum() const {
|
|
| 484 |
return 2 * Parent::edgeNum(); |
|
| 485 |
} |
|
| 486 |
|
|
| 487 |
int edgeNum() const {
|
|
| 488 |
return Parent::edgeNum(); |
|
| 489 |
} |
|
| 490 |
|
|
| 491 |
|
|
| 492 |
}; |
|
| 493 |
} |
|
| 494 |
|
|
| 495 |
#endif |
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