From e9cda321037fe1da041ee933045742027e4c318f Mon Sep 17 00:00:00 2001 From: Bartosz Date: Fri, 23 Sep 2022 16:06:04 +0200 Subject: [PATCH] Changed binary heap to Fibonaccie's heap. Got rid of placeholder data. --- README.md | 3 + algorithms/a_star.py | 45 +- algorithms/bidirectional.py | 6 +- algorithms/dijkstra.py | 26 +- algorithms/fibheap/__init__.py | 353 + dataset/deezer_clean_data/HR_edges.csv | 498203 --------------- .../HR_edges_with_weight.csv | 498202 -------------- dataset/deezer_clean_data/HU_edges.csv | 222888 ------- dataset/deezer_clean_data/RO_edges.csv | 125827 ---- .../dataset_descriptions.txt | 26 - dataset/git_web_ml/README.txt | 24 - dataset/git_web_ml/citing.txt | 14 - dataset/git_web_ml/musae_git_edges.csv | 289004 --------- 13 files changed, 399 insertions(+), 1634222 deletions(-) create mode 100644 algorithms/fibheap/__init__.py delete mode 100644 dataset/deezer_clean_data/HR_edges.csv delete mode 100644 dataset/deezer_clean_data/HR_edges_with_weight.csv delete mode 100644 dataset/deezer_clean_data/HU_edges.csv delete mode 100644 dataset/deezer_clean_data/RO_edges.csv delete mode 100644 dataset/deezer_clean_data/dataset_descriptions.txt delete mode 100644 dataset/git_web_ml/README.txt delete mode 100644 dataset/git_web_ml/citing.txt delete mode 100644 dataset/git_web_ml/musae_git_edges.csv diff --git a/README.md b/README.md index f41105d..8f9c5a0 100644 --- a/README.md +++ b/README.md @@ -1,3 +1,6 @@ +pip install fibheap + + dijkstry:
https://pl.wikipedia.org/wiki/Algorytm_Dijkstry diff --git a/algorithms/a_star.py b/algorithms/a_star.py index 0920a22..2974263 100644 --- a/algorithms/a_star.py +++ b/algorithms/a_star.py @@ -1,3 +1,6 @@ +import fibheap + + def heuristic_cost(start, goal, graph): return 0 @@ -31,10 +34,9 @@ def a_star_algorithm(graph, start, goal, h=heuristic_cost, is_directed=False): if not is_directed: point_set[arc[1]].append(arc[0]) - open_set = set() - open_set.add(start) - - came_from = {} + pred = dict() + node_heap = fibheap.makefheap() + fibheap.fheappush(node_heap, 0, start) g_score = {k: float('inf') for k in point_set.keys()} g_score[start] = 0 @@ -42,29 +44,30 @@ def a_star_algorithm(graph, start, goal, h=heuristic_cost, is_directed=False): f_score = {k: float('inf') for k in point_set.keys()} f_score[start] = h(start, goal, graph) - while len(open_set) > 0: - current = list(open_set)[0] - for k in open_set: - if f_score[k] < f_score[current]: - current = k - if current == goal: - return return_path_and_weight(came_from, current, start) - open_set.remove(current) - for neighbor in point_set[current]: - tentative_g_score = g_score[current] + while node_heap.num_nodes > 0: + # current = list(open_set)[0] + # for k in open_set: + # if f_score[k] < f_score[current]: + # current = k + current = fibheap.fheappop(node_heap) + + if current[1] == goal: + return return_path_and_weight(pred, goal, start) + + for neighbor in point_set[current[1]]: + tentative_g_score = g_score[current[1]] if not is_directed: - if current > neighbor: - tentative_g_score += graph[(current, neighbor)] + if current[1] > neighbor: + tentative_g_score += graph[(current[1], neighbor)] else: - tentative_g_score += graph[(neighbor, current)] + tentative_g_score += graph[(neighbor, current[1])] else: - tentative_g_score += graph[(current, neighbor)] + tentative_g_score += graph[(current[1], neighbor)] if tentative_g_score < g_score[neighbor]: - came_from[neighbor] = current g_score[neighbor] = tentative_g_score f_score[neighbor] = g_score[neighbor] + h(neighbor, goal, graph) - if neighbor not in open_set: - open_set.add(neighbor) + fibheap.fheappush(node_heap, f_score[neighbor], neighbor) + pred[neighbor] = current[1] if __name__ == "__main__": diff --git a/algorithms/bidirectional.py b/algorithms/bidirectional.py index 9dfd65a..d7fe5bc 100644 --- a/algorithms/bidirectional.py +++ b/algorithms/bidirectional.py @@ -186,6 +186,6 @@ if __name__ == "__main__": (5, 3): 1 } - print(bidirectional_algorithm(g, 7, 10, heuristic_cost)) - print(bidirectional_algorithm(g2, 1, 4, heuristic_cost, is_directed=True)) - print(bidirectional_algorithm(g2, 1, 5, heuristic_cost, is_directed=True)) + # print(bidirectional_algorithm(g, 7, 10, heuristic_cost)) + # print(bidirectional_algorithm(g2, 1, 4, heuristic_cost, is_directed=True)) + # print(bidirectional_algorithm(g2, 1, 5, heuristic_cost, is_directed=True)) diff --git a/algorithms/dijkstra.py b/algorithms/dijkstra.py index 414f12a..1460022 100644 --- a/algorithms/dijkstra.py +++ b/algorithms/dijkstra.py @@ -1,4 +1,5 @@ import heapq as heap +import fibheap # function which takes graph, vertex set, start and goal, uses djikstra algorithm to establish shortest paths from start @@ -37,17 +38,20 @@ def dijkstra_algorithm(graph, start, goal, is_directed=False): # setting flag for every vertex keeping track if it was already visited my the algorithm visited[vertex] = False + heap_node_connection = dict() # pushing start vertex to priority queue - heap.heappush(queue, (0, start)) + node_heap = fibheap.makefheap() + heap_node_connection[start] = fibheap.fheappush(node_heap, 0, start) # setting distance to start for start vertex to 0 dist[start] = 0 # setting start vertex not to be added to priority queue again visited[start] = True # main loop - while len(queue) > 0: + while node_heap.num_nodes > 0: # getting first vertex from the priority queue and saving it in current variable - current = heap.heappop(queue) + current = fibheap.fheappop(node_heap) + # current = heap.heappop(queue) # iterating trough all neighbors of the current vertex for neighbor in point_set[current[1]]: # initializing potential distance to be replaced with the current neighbors @@ -64,14 +68,16 @@ def dijkstra_algorithm(graph, start, goal, is_directed=False): if dist[neighbor] == float('inf'): dist[neighbor] = new_dist prev[neighbor] = current[1] - heap.heappush(queue, (new_dist, neighbor)) + heap_node_connection[neighbor] = fibheap.fheappush(node_heap, new_dist, neighbor) +# heap.heappush(queue, (new_dist, neighbor)) else: dist[neighbor] = new_dist prev[neighbor] = current[1] - for k in range(len(queue)): - if queue[k][1] == neighbor: - queue[k] = (new_dist, neighbor) - heap.heapify(queue) + node_heap.decrease_key(heap_node_connection[neighbor], new_dist) + # for k in range(len(queue)): + # if queue[k][1] == neighbor: + # queue[k] = (new_dist, neighbor) +# heap.heapify(queue) temp = goal shortest_path = [goal] @@ -83,7 +89,7 @@ def dijkstra_algorithm(graph, start, goal, is_directed=False): if __name__ == "__main__": - g = { + g1 = { (2, 1): 3, (3, 2): 2, (5, 3): 1, @@ -108,6 +114,6 @@ if __name__ == "__main__": (5, 3): 1 } - print(dijkstra_algorithm(g, 7, 10)) + print(dijkstra_algorithm(g1, 7, 10)) print(dijkstra_algorithm(g2, 1, 4, is_directed=True)) print(dijkstra_algorithm(g2, 1, 5, is_directed=True)) diff --git a/algorithms/fibheap/__init__.py b/algorithms/fibheap/__init__.py new file mode 100644 index 0000000..df8d866 --- /dev/null +++ b/algorithms/fibheap/__init__.py @@ -0,0 +1,353 @@ +name = 'fibhaha' +# Module comes from https://pypi.org/project/fibheap/. This version adjusted a little bit to suit this project. + +def makefheap(): + """make-heap in Cormen et al.""" + heap = Fheap() + return heap + + +def fheappush(heap, item, node): + """insert in Corment et al.""" + temp = Node(item, node) + heap.insert(temp) + return temp + + +def getfheapmin(heap): + """minimum in Corment et al.""" + return heap.min + + +def fheappop(heap): + """extract-min in Corment et al.""" + temp = heap.extract_min() + return (temp.key, temp.node) + + +def fheapunion(heap, other): + """union in Corment et al.""" + heap.union(other) + + +class Node: + """Methods: + - add_child: add a child to the node + - remove_child: remove a child to the node + """ + + def __init__(self, key, node, p=None, left=None, right=None, + child=None, mark=None): + """Create a new node in a heap. Attributes: + - key: the node's key, a number + - left, right: the node's adjacent siblings. The node and its siblings + are doubly linked, so they form a circular loop. If x is an only child, + it is its own left and right sibling. + - child: the representative child of the node. To access all the + children of the node, first access the representative child through + self.child, then access all the child's siblings through self.left or + self.right. + - p: the node's parent + - degree: the number of the node's children whether the node has lost a + child since the last time it was made the child of another node. Newly + created nodes are unmarked. A node becomes unmarked whenever it is made + the child of another node. + """ + self.node = node + self.key = key + self.left = left + self.right = right + self.p = p # parent + self.child = child # to any one of its children + self.degree = 0 + self.mark = False if not mark else mark + + def add_child(self, x): + """Add a child to the node. If the node currently has no children, the + child is made the representative child, otherwise, it is added to the + right of the representative child. + + This procedure updates the child's parent and mark, + and the node's degree. + """ + if not self.child: + self.child = x + x.left, x.right = x, x + else: + right_to_child = self.child.right + self.child.right = x + x.left = self.child + x.right = right_to_child + right_to_child.left = x + x.p = self + self.degree += 1 + x.mark = False + + def remove_child(self, x): + """ remove a child from the node's child list. This procedure does not + update the child's parent and does not allow removing a child that does + not exist. Updating the child's parent is the reponsibility of routines + that call this function. + """ + if not self.child: + raise ValueError('Child list is currently empty') + if self.degree == 1: # has 1 child + self.child = None + else: # >= 2 children + if self.child is x: + self.child = x.right + left_to_x, right_to_x = x.left, x.right + left_to_x.right = right_to_x + right_to_x.left = left_to_x + self.degree -= 1 + + +class Fheap: + """ Methods: insert, minimum, extract_min, union, decrease_key, delete""" + + def __init__(self, minimum=None): + """Create a new, empty heap. Attributes: + + - min: points to the node that contains the minimum key + - num_nodes: number of nodes currently in the heap + - num_trees: number of roots in the tree A Fibonacci heap can contain + many trees of min-ordered heap. The roots of these trees are doubly + linked and form a circular loop as in the case with siblings. The number + of trees of a Fibonacci heap is always the number of roots. + - num_marks: number of marked nodes in the heap + """ + self.min = minimum + self.num_nodes = 0 + self.num_trees = 0 + self.num_marks = 0 + + def remove_root(self, x): + """ Remove a root from the list of roots of the heap. + + This only updates the pointers of the remaining roots and the number of + trees of the heap, but does not update the pointers of the removed root + or those of its children. Those are the responsibility of the routines + that call this function + """ + right_to_x, left_to_x = x.right, x.left + right_to_x.left = left_to_x + left_to_x.right = right_to_x + self.num_trees -= 1 + + def add_root(self, x): + """Add a root to the list of roots of the heap. + + If the heap is currently empty, the added root is the min of the heap + and is its own left and right roots. + """ + if self.min == None: + x.left, x.right = x, x + else: + right_to_min = self.min.right + self.min.right = x + x.left = self.min + x.right = right_to_min + right_to_min.left = x + self.num_trees += 1 + + def insert(self, x): + """Add a node. + + This simply adds the node as a root of the heap, updates the minimum + node of the heap if necessary, and updates the number of nodes. For example, + + - Before insertion, one root ((2)), minimum = (2): + (2) + / \ + (3) (4) + + - After inserting (1), two roots ((1) and (2)), minimum = (1): + (2)---(1) + / \ + (3) (4) + """ + if self.min == None: + self.add_root(x) + self.min = x + else: + self.add_root(x) + if x.key < self.min.key: + self.min = x + self.num_nodes += 1 + + def minimum(self): + """Return the node with the minimum key""" + return self.min + + def extract_min(self): + """Remove and return the minimum nodeself. + + This procecures moves each of the minimum node's children to the root + list, removes the minimum node itself from the root list, and + "consolidate" (see consolidate) the resulted tree. + """ + z = self.min + if z != None: + x = z.child + for i in range(z.degree): + y = x.right + self.add_root(x) + x.p = None + x = y + if z.mark: + self.num_marks -= 1 + self.remove_root(z) + if z == z.right: + self.min = None + else: + self.min = z.right + self.consolidate() + self.num_nodes -= 1 + return z + + def consolidate(self): + """ The goal is to reduce the number of trees in the current heap. + + The procedure is as follows (description by Corment et al.): + + 1. Find two roots that have the same degree (the same number of + children) + 2. Merge the two trees rooted at those two roots by making the root with + larger key one child of the one with smaller key. This procedure is + called link (see the documentation for link) + 3. Repeat step 1 and 2 until no two roots in the tree have the same degree + + For example, + + - Before consolidating: 3 roots ((1),(4), and (5)), root (1) and (4) + have the same degree of 1 + (1)---(4)---(5) + | | + (3) (6) + + - After consolidating: 2 roots ((1) and (5)), root (1) has degree 2 + while root (5) has degree 0. + (1)---(5) + / \ + (3) (4) + | + (6) + """ + A = [None] * self.num_nodes + root = self.min + counter = self.num_trees + while counter: + x = root + root = root.right + d = x.degree + while A[d]: + y = A[d] + if x.key > y.key: + x, y = y, x + self.link(y, x) + A[d] = None + d += 1 + A[d] = x + counter -= 1 + self.min = None + for i in range(len(A)): + if A[i]: + if self.min == None: + self.min = A[i] + else: + if A[i].key < self.min.key: + self.min = A[i] + + def link(self, y, x): # y>x + """Link y to x. + + This procesure makes y a child of x. Because when a node becomes a child + of another, it has no mark, so the number of marks of the heap is + updated if necessary. + """ + self.remove_root(y) + if y.mark == True: + self.num_marks -= 1 + x.add_child(y) + + def union(self, other): + """Make a union of two heaps. This procedure simply concatenates the two + root lists and updates the minimum node, the number of nodes, the number + trees, and the number of marks of the heap. + """ + if not self.min: + self.min = other.min + elif other.min: + self_first_root, other_last_root = self.min.right, other.min.left + self_first_root.left = other_last_root + self.min.right = other.min + other.min.left = self.min + other_last_root.right = self_first_root + + if (self.min == None) or (other.min != None and other.min.key < self.min.key): + self.min = other.min + self.num_nodes += other.num_nodes + self.num_trees += other.num_trees + self.num_marks += other.num_marks + + def decrease_key(self, x, k): + """Decrease node x's key to k. + + k must be larger than the current key of x. If by decreasing x's key to + k, the heap invariant is violated, x (and therefore along with its + children) will be cut from its current tree and added to the root list + (see the function cut). The parent y of x may have had lost one of its + child before. If this is the case and if y is not a root, then y is, in + turn, cut from its parent. The nodes are continually cut using + cascading_cut until it "finds either a root or an unmark node" (Cormen + et al.). + """ + if k > x.key: + raise ValueError('new key is greater than current key') + x.key = k + y = x.p + if y and x.key < y.key: + self.cut(x, y) + self.cascading_cut(y) + if x.key < self.min.key: + self.min = x + + def cut(self, x, y): + """ Cut x from y and make it a root. + + x's parent is set to None and x's mark and the heap's number of marks + are updated if necessary. + """ + if x.mark: + self.num_marks -= 1 + x.mark = False + y.remove_child(x) + self.add_root(x) + x.p = None + + def cascading_cut(self, y): + """Cut continually until it finds either a root or an unmarked node.""" + z = y.p + if z: + if not y.mark: + y.mark == True + self.num_marks += 1 + else: + self.cut(y, z) + self.cascading_cut(z) + + def delete(self, x): + """Remove x from the heap by first setting its key to minus infinity and + extracting the heap's min. + """ + + class MaskClass: + def __lt__(self, other): + return True + + def __gt__(self, other): + return False + + mask_key = MaskClass() # the key is smaller than any other keys + self.decrease_key(x, mask_key) + self.extract_min() diff --git a/dataset/deezer_clean_data/HR_edges.csv b/dataset/deezer_clean_data/HR_edges.csv deleted file mode 100644 index ff9114b..0000000 --- a/dataset/deezer_clean_data/HR_edges.csv +++ /dev/null @@ -1,498203 +0,0 @@ -node_1,node_2 -0,4076 -0,29861 -0,53717 -0,23820 -0,39945 -0,22224 -0,17332 -0,22600 -0,30409 -0,11699 -0,48006 -0,13275 -0,6728 -0,8087 -0,49668 -0,41890 -0,4110 -0,9441 -0,47335 -0,37629 -0,3591 -0,22954 -0,6185 -1,8670 -1,21767 -1,41815 -1,49744 -1,10065 -1,46613 -1,20376 -1,203 -1,14646 -1,84 -1,53990 -2,42452 -2,27264 -2,43274 -2,24848 -3,50166 -3,47979 -3,34959 -3,17210 -3,22144 -3,1858 -3,45565 -3,17353 -3,2330 -3,42519 -3,6587 -3,49502 -3,52855 -3,53721 -3,42742 -3,52662 -3,11044 -3,10027 -3,11451 -3,13702 -3,22237 -4,40648 -4,8671 -4,34449 -4,8991 -4,43353 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--------------------------------------- -Deezer Datasets --------------------------------------- --------------------------------------- - -We collected data from the music streaming service Deezer (November 2017). These datasets represent friendhips networks of users from 3 European countries. Nodes represent the users and edges are the mutual friendships. We reindexed the nodes in order to achieve a certain level of anonimity. The csv files contain the edges -- nodes are indexed from 0. The json files contain the genre preferences of users -- each key is a user id, the genres loved are given as lists. Genre notations are consistent across users. In each dataset users could like 84 distinct genres. Liked genre lists were compiled based on the liked song lists. The countries included are Romania, Croatia and Hungary. For each dataset we listed the number of nodes an edges. - -Country #Nodes #Edges --------------------------- -RO 41,773 125,826 -HR 54,573 498,202 -HU 47,538 222,887 --------------------------- diff --git a/dataset/git_web_ml/README.txt b/dataset/git_web_ml/README.txt deleted file mode 100644 index 4a8b2ea..0000000 --- a/dataset/git_web_ml/README.txt +++ /dev/null @@ -1,24 +0,0 @@ -GitHub Social Network - -Description - -A large social network of GitHub developers which was collected from the public API in June 2019. Nodes are developers who have starred at least 10 repositories and edges are mutual follower relationships between them. The vertex features are extracted based on the location, repositories starred, employer and e-mail address. The task related to the graph is binary node classification - one has to predict whether the GitHub user is a web or a machine learning developer. This target feature was derived from the job title of each user. - -Properties - -- Directed: No. -- Node features: Yes. -- Edge features: No. -- Node labels: Yes. Binary-labeled. -- Temporal: No. -- Nodes: 37,700 -- Edges: 289,003 -- Density: 0.001 -- Transitvity: 0.013 - -Possible Tasks - -- Binary node classification -- Link prediction -- Community detection -- Network visualization diff --git a/dataset/git_web_ml/citing.txt b/dataset/git_web_ml/citing.txt deleted file mode 100644 index 4d577e9..0000000 --- a/dataset/git_web_ml/citing.txt +++ /dev/null @@ -1,14 +0,0 @@ -If you find this dataset useful in your research, please consider citing the following paper: - ->@misc{rozemberczki2019multiscale, - title = {Multi-scale Attributed Node Embedding}, - author = {Benedek Rozemberczki and Carl Allen and Rik Sarkar}, - year = {2019}, - eprint = {1909.13021}, - archivePrefix = {arXiv}, - primaryClass = {cs.LG} - } - -And take a look at the project itself: - -https://github.com/benedekrozemberczki/MUSAE diff --git a/dataset/git_web_ml/musae_git_edges.csv b/dataset/git_web_ml/musae_git_edges.csv deleted file mode 100644 index 49bb6e5..0000000 --- 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