MA0301/exam_template/python/Graph.py

217 lines
6.2 KiB
Python

from sys import argv
from pathlib import Path
from math import sin, cos, pi
from common import printc, replaceContent
class Matrix:
""" Adjacency matrix which supports 0 and 1 """
def __init__(self, matrix):
self.matrix = matrix
def __iter__(self):
return iter(self.matrix)
def __len__(self):
return len(self.matrix)
def __eq__(self, other):
return self.matrix == other
def __str__(self):
return "\n".join(' '.join('\033[32m1\033[0m' if b else '\033[31m0\033[0m' for b in line) for line in self)
def __getitem__(self, key):
return self.matrix[key]
def __setitem__(self, key, item):
self.matrix[key] = item
@classmethod
def fromGraph(cls, graph):
return graph.toMatrix()
@classmethod
def fromString(cls, string):
matrix = []
for line in string.split('\n'):
matrix.append([True if char == '1' else False for char in line])
if len(matrix) != len(matrix[0]):
raise ValueError('Matrix not covering all points')
return cls(matrix)
def toGraph(self):
nodes = [chr(i + 65) for i in range(len(self))]
edges = []
for i, line in enumerate(self):
edges += [(nodes[i],nodes[j]) for j, b in enumerate(line) if b]
return Graph(nodes, edges)
def toLaTeX(self):
return '\\begin{pmatrix}\n' \
+ '\n'.join(' ' + ' & '.join('1' if b else '0' for b in line) + ' \\\\' for line in self.matrix) \
+ '\n\\end{pmatrix}'
class Graph:
def __init__(self, nodes, edges): # Nodes = str, Edges = (str,str)
self.nodes = nodes
self.edges = edges
def __str__(self):
printc('Is undirected: ' + str(self.isUndirected()))
return \
f'Nodes: {" ".join(self.nodes)}\n' \
+ f'Edges: {" ".join(x+y for x,y in (self.undirectedEdgeSet() if self.isUndirected() else self.edges))}'
@classmethod
def fromMatrix(cls, matrix):
return matrix.toGraph()
@classmethod
def fromString(cls, string):
splitData = string.split('\n\n')
if splitData[0] == 'complete':
data1 = 'undirected'
nodes = [chr(i + 65) for i in range(int(splitData[1]))]
data2 = ' '.join(nodes)
data3 = '\n'.join([a+b for a in nodes for b in nodes if a != b])
elif splitData[0] == 'matrix':
return Graph.fromMatrix(Matrix.fromString(splitData[1]))
else:
data1, data2, data3 = splitData
graphType = data1
nodes = data2.split(' ')
edges = [(x,y) for x,y in data3.split('\n')]
if graphType == 'undirected':
edges = [(a,b) for a in nodes for b in nodes if (a,b) in edges or (b,a) in edges]
return cls(nodes, edges)
def toMatrix(self):
rows = []
for node in self.nodes:
rows.append([(node,node2) in self.edges for node2 in self.nodes])
return Matrix(rows)
def isUndirected(self):
matrix = self.toMatrix()
flipv = lambda matrix: list(reversed(matrix))
rot90cc = lambda matrix: list(list(x) for x in zip(*reversed(matrix)))
return matrix == rot90cc(flipv(matrix)) \
and all(matrix[i][i] == 0 for i in range(len(matrix)))
def undirectedEdgeSet(self):
edges = self.edges
if self.isUndirected():
edges = sorted(list(set((x,y) if x < y else (y,x) for x,y in edges)))
return edges
# def latexifyEulerPath(self):
# degrees = [sum(line) for line in self.toMatrix()]
# def latexifyEulerCircuit():
# pass
def getKruskalsSpanningTree(self, weigths): # weights = dict[str, int]
edges = []
connected_subgraphs = [set(v) for v in self.nodes]
def find_subgraph_containing(v):
return [x for x in connected_subgraphs if v in x][0]
def merge_subgraphs_that_contains(u, v):
subgraph_v = find_subgraph_containing(v)
new_connected_subgraphs = [x for x in connected_subgraphs if v not in x]
new_connected_subgraphs = [subgraph_v.union(x) if u in x else x for x in new_connected_subgraphs]
return new_connected_subgraphs
sorted_edges = [ e for e in sorted(self.edges, key=lambda e: weigths[str(e)]) ]
for u,v in sorted_edges:
if find_subgraph_containing(u) != find_subgraph_containing(v):
edges += [(u, v)]
connected_subgraphs = merge_subgraphs_that_contains(u, v)
return Graph(self.nodes, edges)
def toLaTeX(self):
zippedNodes = zip(self.nodes, generateNodeCoords(len(self.nodes)))
nodeString = '\n'.join(f'\\node ({name}) at ({x},{y}) {{${name}$}};' for name,(x,y) in zippedNodes)
if self.isUndirected():
edgeString = '\n'.join(f'\\draw ({x}) -- ({y});' for x,y in self.undirectedEdgeSet())
else:
edgeString = '\n'.join(
f'\\draw [-{{Latex[scale=1]}}, bend left=8] ({x}) to ({y});' if y != x and (y,x) in self.edges
else f'\\draw [-{{Latex[scale=1]}}] ({x}) to [{generateLoopInOutAngle(x, self.nodes)},looseness=8] ({y});' if x == y
else f'\\draw [-{{Latex[scale=1]}}] ({x}) to ({y});'
for x,y in self.edges
)
return (nodeString, edgeString)
def generateLoopInOutAngle(node, nodes):
baseAngle = 360 / len(nodes)
nodeNum = [i for i,n in enumerate(nodes) if n == node][0]
angle = nodeNum * baseAngle + 90
return f'out={angle + 15},in={angle - 15}'
def generateNodeCoords(n):
vectorLength = n / 2
degreeToTurn = (2 * pi) / n
nodeCoords = [(0, vectorLength)]
for node in range(n):
prev_x = nodeCoords[-1][0]
prev_y = nodeCoords[-1][1]
nodeCoords.append((
round(cos(degreeToTurn) * prev_x - sin(degreeToTurn) * prev_y, 5),
round(sin(degreeToTurn) * prev_x + cos(degreeToTurn) * prev_y, 5)
))
return nodeCoords
def processFileContent(raw):
lines = raw.split('\n')
lines.pop(1)
outputType = lines.pop(0)
graph = Graph.fromString('\n'.join(lines))
print(graph)
print(graph.toMatrix())
if outputType == 'toGraph':
content = graph.toLaTeX()
return replaceContent(
content,
'Graph',
replaceF = lambda temp, cont: temp.replace('%NODES', cont[0]).replace('%EDGES', cont[1])
)
else:
content = graph.toMatrix().toLaTeX()
return replaceContent(content, 'Matrix')
if __name__ == '__main__':
pass
# matrix = Matrix([[False, False, True], [True, False, True], [True, False, False]])
# print(matrix)
# print(matrix.toGraph())
# print(matrix.toGraph().isUndirected())