#!/usr/bin/env python2

# This software is Copyright 2017 The Regents of the University of California. All Rights Reserved. Permission to copy, modify, and distribute this software and its documentation for educational, research and non-profit purposes, without fee, and without a written agreement is hereby granted, provided that the above copyright notice, this paragraph and the following three paragraphs appear in all copies. Permission to make commercial use of this software may be obtained by contacting:
#
# Office of Innovation and Commercialization
#
# University of California
#
# La Jolla, CA 92093-0910
#
# (858) 534-5815
#
# invent@ucsd.edu
#
# This software program and documentation are copyrighted by The Regents of the University of California. The software program and documentation are supplied "as is", without any accompanying services from The Regents. The Regents does not warrant that the operation of the program will be uninterrupted or error-free. The end-user understands that the program was developed for research purposes and is advised not to rely exclusively on the program for any reason.
#
# IN NO EVENT SHALL THE UNIVERSITY OF CALIFORNIA BE LIABLE TO ANY PARTY FOR DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING LOST PROFITS, ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN IF THE UNIVERSITY OF CALIFORNIA HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. THE UNIVERSITY OF CALIFORNIA SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON AN "AS IS" BASIS, AND THE UNIVERSITY OF CALIFORNIA HAS NO OBLIGATIONS TO PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.


# Author: Viraj Deshpande
# Contact: virajbdeshpande@gmail.com


# This file defines classes and methods for an abstract undirected graph, vertex and edge.


import logging


class abstract_vertex(object):
    """Class describing a graph vertex.
    Attributes:
    elist: List of abstract_edges
    vid: (optional) ID for the abstract_vertex
    graph: (optional) abstract_graph to which the vertex belongs"""

    def __init__(self, vid=0, graph=None):
        """Initiate vertex with optional vid and graph"""
        self.elist = []
        self.vid = vid  # vertexid
        self.graph = graph
        if self.vid == 0 and self.graph is not None:
            self.vid = self.graph.next_vid()
        if self.graph is not None:
            if vid in graph.vs:
                raise Exception("Adding with duplicate vid")
            self.graph.include_vertex(self)

    def neighbors(self):
        """Return list of vertices connected to abstract_vertex by a direct edge"""
        return [e.v2 for e in self.elist]

    def __hash__(self):
        """Return hash based on vid to allow to efficiently check for presence of vid in graph, etc"""
        return self.vid

    def __repr__(self):
        """Vertex is represented by vid"""
        return str(self.vid)


class abstract_edge(object):
    """Class describing a graph edge.
    Attributes:
    v1, v2: Ordered pair of vertices connected by the edge
    eid: (optional) ID for the abstract_edge
    graph: (optional) abstract_graph to which the vertex belongs."""

    def __init__(self, v1, v2, eid=0, graph=None, update_vertices=True):
        """Initiate edge
        Arguments: v1, v2, (optional)eid, (optional) graph.
        update_vertices: (optional True/False) to update vertices to include edge in v1.elist, v2.elist. (default=True)
        """
        self.v1, self.v2 = v1, v2
        self.eid = eid
        self.graph = graph
        if self.eid == 0 and self.graph is not None:
            self.eid = self.graph.next_eid()
        if self.graph is not None:
            if eid in self.graph.es:
                raise Exception("Adding edge with duplicate eid")
            self.graph.include_edge(self)
        if update_vertices:
            if v1.graph is not v2.graph:
                raise Exception("Adding edge between vertices of different graphs.")
            if graph is not None and v1.graph is not graph:
                raise Exception("Edge in different graph than vertex.")
            if graph is None and v1.graph is not None:
                graph = v1.graph
            v1.elist.append(self)
            v2.elist.append(self)

    def neighbor(self, v):
        """Given a vertex, return its neighbor along the edge"""
        if v == self.v1:
            return self.v2
        if v == self.v2:
            return self.v1
        raise Exception("Edge not connected to vertex")

    def __hash__(self):
        """Return hash based on eid to allow to efficiently check for presence of eid in graph, etc"""
        return self.eid

    def length(self):
        """Not implemented"""
        pass

    def __repr__(self):
        """String representation of the form v1<->v2."""
        return str(self.v1) + "<->" + str(self.v2)


class abstract_graph(object):
    """Class describing a graph.
    Attributes:
    vs: Dictionary from vid/key to vertex
    es: Dictionary from eid/key to edge
    max_vid: (internal) max_vid, used to assign vid for new vertex. Suggested to use function next_vid.
    max_eid: (internal) max_eid, used to assign eid for new edge. Suggested to use function next_eid."""

    def __init__(self):
        """Initiate empty graph"""
        self.es = {}  # key -->edges
        self.vs = {}  # key -->vertices
        # self.logger = logging.getLogger('Algae')
        self.max_eid = 1
        self.max_vid = 1

    def include_vertex(self, v):
        """Include orphan abstract_vertex in graph and update vertex.graph to point to self"""
        if v.vid in self.vs and self.vs[v.vid] is not v:
            raise "Adding vertex with duplicate vid"
        if v.graph is not None and v.graph is not self:
            raise "Adding vertex from another graph"
        if v.graph is None:
            v.graph = self
        self.vs[v.vid] = v

    def include_edge(self, e):
        """Include orphan abstract_edge in graph and update edge.graph to point to self. Vertices should be updated separately"""
        if e.eid in self.es and self.es[e.eid] is not e:
            raise "Adding edge with duplicate eid"
        if e.graph is not None and e.graph is not self:
            raise "Adding edge from another graph"
        if e.graph is None:
            e.graph = self
        self.es[e.eid] = e

    def next_eid(self):
        """Find the next eid available for assignment to new edge"""
        while self.max_eid in self.es or -1 * self.max_eid in self.es:
            self.max_eid += 1
        return self.max_eid

    def next_vid(self):
        """Find the next vid available for assignment to new vertex"""
        while self.max_vid in self.vs or -1 * self.max_vid in self.vs:
            self.max_vid += 1
        return self.max_vid
