Add adjacency matrix support
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@ -2,6 +2,145 @@ from sys import argv
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from pathlib import Path
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from math import sin, cos, pi
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# from run import printred
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class Matrix:
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""" Adjacency matrix which supports 0 and 1 """
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def __init__(self, matrix):
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self.matrix = matrix
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def __iter__(self):
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return iter(self.matrix)
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def __len__(self):
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return len(self.matrix)
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def __eq__(self, other):
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return self.matrix == other
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def __str__(self):
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return "\n".join(' '.join('\033[32m1\033[0m' if b else '\033[31m0\033[0m' for b in line) for line in self)
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def __getitem__(self, key):
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return self.matrix[key]
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def __setitem__(self, key, item):
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self.matrix[key] = item
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@classmethod
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def fromGraph(cls, graph):
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return graph.toMatrix()
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@classmethod
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def fromString(cls, string):
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matrix = []
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for line in string.split('\n'):
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matrix.append([True if char == '1' else False for char in line])
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if len(matrix) != len(matrix[0]):
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raise ValueError('Matrix not covering all points')
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return cls(matrix)
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def toGraph(self):
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nodes = [chr(i + 65) for i in range(len(self))]
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edges = []
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for i, line in enumerate(self):
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edges += [(nodes[i],nodes[j]) for j, b in enumerate(line) if b]
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return Graph(nodes, edges)
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def toLaTeX(self):
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return '\\begin{pmatrix}\n' \
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+ '\n'.join(' ' + ' & '.join('1' if b else '0' for b in line) + ' \\\\' for line in self.matrix) \
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+ '\n\\end{pmatrix}'
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class Graph:
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def __init__(self, nodes, edges):
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self.nodes = nodes
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self.edges = edges
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def __str__(self):
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print(self.isUndirected())
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return \
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f'Nodes: {" ".join(self.nodes)}\n' \
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+ f'Edges: {" ".join(x+y for x,y in (self.undirectedEdgeSet() if self.isUndirected() else self.edges))}'
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@classmethod
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def fromMatrix(cls, matrix):
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return matrix.toGraph()
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@classmethod
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def fromString(cls, string):
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splitData = string.split('\n\n')
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if splitData[0] == 'complete':
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data1 = 'undirected'
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nodes = [chr(i + 65) for i in range(int(splitData[1]))]
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data2 = ' '.join(nodes)
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data3 = '\n'.join([a+b for a in nodes for b in nodes if a != b])
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elif splitData[0] == 'matrix':
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return Graph.fromMatrix(Matrix.fromString(splitData[1]))
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else:
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data1, data2, data3 = splitData
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graphType = data1
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nodes = data2.split(' ')
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edges = [(x,y) for x,y in data3.split('\n')]
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if graphType == 'undirected':
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edges = [(a,b) for a in nodes for b in nodes if (a,b) in edges or (b,a) in edges]
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return cls(nodes, edges)
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def toMatrix(self):
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rows = []
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for node in self.nodes:
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rows.append([(node,node2) in self.edges for node2 in self.nodes])
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return Matrix(rows)
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def isUndirected(self):
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matrix = self.toMatrix()
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flipv = lambda matrix: list(reversed(matrix))
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rot90cc = lambda matrix: list(list(x) for x in zip(*reversed(matrix)))
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return matrix == rot90cc(flipv(matrix)) \
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and all(matrix[i][i] == 0 for i in range(len(matrix)))
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def undirectedEdgeSet(self):
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edges = self.edges
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if self.isUndirected():
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edges = sorted(list(set((x,y) if x < y else (y,x) for x,y in edges)))
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return edges
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def toLaTeX(self):
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zippedNodes = zip(self.nodes, generateNodeCoords(len(self.nodes)))
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nodeString = '\n'.join(f'\\node ({name}) at ({x},{y}) {{${name}$}};' for name,(x,y) in zippedNodes)
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if self.isUndirected():
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edgeString = '\n'.join(f'\\draw ({x}) -- ({y});' for x,y in self.undirectedEdgeSet())
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else:
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edgeString = '\n'.join(
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f'\\draw [-{{Latex[scale=1]}}, bend left=8] ({x}) to ({y});' if y != x and (y,x) in self.edges
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else f'\\draw [-{{Latex[scale=1]}}] ({x}) to [{generateLoopInOutAngle(x, self.nodes)},looseness=8] ({y});' if x == y
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else f'\\draw [-{{Latex[scale=1]}}] ({x}) to ({y});'
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for x,y in self.edges
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)
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return (nodeString, edgeString)
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def generateLoopInOutAngle(node, nodes):
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baseAngle = 360 / len(nodes)
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nodeNum = [i for i,n in enumerate(nodes) if n == node][0]
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angle = nodeNum * baseAngle + 90
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return f'out={angle + 15},in={angle - 15}'
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def generateNodeCoords(n):
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vectorLength = n / 2
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degreeToTurn = (2 * pi) / n
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@ -18,50 +157,28 @@ def generateNodeCoords(n):
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))
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return nodeCoords
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def latexify(graphType, nodes, edges):
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zippedNodes = zip(nodes, generateNodeCoords(len(nodes)))
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nodeString = '\n'.join(f'\\node ({name}) at ({x},{y}) {{${name}$}};' for name,(x,y) in zippedNodes)
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if graphType == 'directed':
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edgeString = '\n'.join(f'\\arrow{{{x}}}{{{y}}}' for x,y in edges)
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elif graphType == 'undirected':
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edgeString = '\n'.join(f'\\draw ({x}) -- ({y});' for x,y in edges)
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else:
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print('CAN\'t RECOGNIZE GRAPHTYPE: ' + graphType)
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exit(1)
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return (nodeString, edgeString)
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def parseInput(inputData):
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splitData = inputData.split('\n\n')
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if splitData[0] == 'complete':
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data1 = 'undirected'
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nodes = [chr(i + 65) for i in range(int(splitData[1]))]
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data2 = ' '.join(nodes)
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data3 = '\n'.join([a+b for a in nodes for b in nodes if a < b])
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pass
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else:
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data1, data2, data3 = splitData
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graphType = data1
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nodes = data2.split(' ')
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edges = [(x,y) for x,y in data3.split('\n')]
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return (graphType, nodes, edges)
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def processFileContent(raw, template):
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content = latexify(*parseInput(raw))
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return template.replace('%NODES', content[0]).replace('%EDGES', content[1])
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lines = raw.split('\n')
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lines.pop(1)
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outputType = lines.pop(0)
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graph = Graph.fromString('\n'.join(lines))
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print(graph)
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print(graph.toMatrix())
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if outputType == 'toGraph':
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content = graph.toLaTeX()
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return template.replace('%NODES', content[0]).replace('%EDGES', content[1])
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else:
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content = graph.toMatrix().toLaTeX()
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return template.replace('%CONTENT', content)
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if __name__ == '__main__':
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filename = argv[1]
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with open(filename) as file:
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content = latexify(*parseInput(file.read()))
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with open(str(Path(__file__).parent.absolute()) + '/tex_templates/Graph.tex') as template:
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with open(argv[2], 'w') as destination_file:
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destination_file.write(template.read().replace('%NODES', content[0]).replace('%EDGES', content[1]))
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matrix = Matrix([[False, False, True], [True, False, True], [True, False, False]])
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print(matrix)
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print(matrix.toGraph())
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print(matrix.toGraph().isUndirected())
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@ -1,12 +1,11 @@
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from sys import argv
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from pathlib import Path
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from run import printred
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# Increase if the diagram becomes too clobbered
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HEIGHT_SEPARATOR = 1
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def printred(text):
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print(f'\033[31m{text}\033[0m')
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# For manual usage via stdin
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def getRels(relations=None):
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if relations == None:
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@ -6,6 +6,9 @@ import Graph
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import Hasse
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import Truthtable
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def printred(text):
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print(f'\033[31m{text}\033[0m')
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def fetchContentType(content):
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new_content = content.split('\n')
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contentType = new_content.pop(0)[2:]
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@ -19,7 +22,9 @@ def processContent(content):
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elif contentType == 'FSA':
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result = FSA.processFileContent(content, template.read())
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elif contentType == 'Graph':
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result = Graph.processFileContent(content, template.read())
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result = Graph.processFileContent('toGraph\n\n' + content, template.read())
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elif contentType == 'Matrix':
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result = Graph.processFileContent('toMatrix\n\n' + content, template.read())
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elif contentType == 'Truthtable':
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result = Truthtable.processFileContent(content, template.read())
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else:
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@ -6,6 +6,8 @@
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%NODES
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\end{scope}
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%EDGES
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\begin{scope}[every draw/.style={}]
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%EDGES
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\end{scope}
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\end{tikzpicture}
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5
exam_template/python/tex_templates/Matrix.tex
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5
exam_template/python/tex_templates/Matrix.tex
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\begin{figure}[H]
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\[
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%CONTENT
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\]
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\end{figure}
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exam_template_graphics/graphics/adjacency.tex
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19
exam_template_graphics/graphics/adjacency.tex
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@ -0,0 +1,19 @@
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\newcommand{\arrow}[2]{\path [-{Latex[scale=1]}] (#1) edge (#2);}
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\begin{tikzpicture}
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\begin{scope}[every node/.style={shape=circle, fill=white, draw, inner sep=2pt}]
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\node (A) at (0,2.0) {$A$};
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\node (B) at (-2.0,0.0) {$B$};
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\node (C) at (-0.0,-2.0) {$C$};
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\node (D) at (2.0,-0.0) {$D$};
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\end{scope}
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\begin{scope}[every draw/.style={}]
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\draw (A) -- (B);
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\draw (A) -- (C);
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\draw (B) -- (D);
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\draw (C) -- (D);
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\end{scope}
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\end{tikzpicture}
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@ -11,7 +11,8 @@
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\node (F) at (2.59808,1.5) {$F$};
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\end{scope}
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\draw (A) -- (B);
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\begin{scope}[every draw/.style={}]
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\draw (A) -- (B);
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\draw (A) -- (C);
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\draw (A) -- (D);
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\draw (A) -- (E);
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@ -26,5 +27,6 @@
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\draw (D) -- (E);
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\draw (D) -- (F);
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\draw (E) -- (F);
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\end{scope}
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\end{tikzpicture}
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52
exam_template_graphics/graphics/directedFromMatrix.tex
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52
exam_template_graphics/graphics/directedFromMatrix.tex
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\newcommand{\arrow}[2]{\path [-{Latex[scale=1]}] (#1) edge (#2);}
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\begin{tikzpicture}
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\begin{scope}[every node/.style={shape=circle, fill=white, draw, inner sep=2pt}]
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\node (A) at (0,4.0) {$A$};
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\node (B) at (-2.82843,2.82843) {$B$};
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\node (C) at (-4.0,0.0) {$C$};
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\node (D) at (-2.82843,-2.82843) {$D$};
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\node (E) at (-0.0,-4.0) {$E$};
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\node (F) at (2.82843,-2.82843) {$F$};
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\node (G) at (4.0,-0.0) {$G$};
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\node (H) at (2.82843,2.82843) {$H$};
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\end{scope}
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\begin{scope}[every draw/.style={}]
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\draw [-{Latex[scale=1]}] (A) to [out=105.0,in=75.0,looseness=8] (A);
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\draw [-{Latex[scale=1]}, bend left=8] (A) to (C);
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\draw [-{Latex[scale=1]}] (A) to (E);
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\draw [-{Latex[scale=1]}, bend left=8] (A) to (G);
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\draw [-{Latex[scale=1]}] (B) to (A);
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\draw [-{Latex[scale=1]}] (B) to (C);
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\draw [-{Latex[scale=1]}] (B) to (F);
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\draw [-{Latex[scale=1]}] (B) to (H);
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\draw [-{Latex[scale=1]}, bend left=8] (C) to (A);
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\draw [-{Latex[scale=1]}, bend left=8] (C) to (D);
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\draw [-{Latex[scale=1]}] (C) to (F);
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\draw [-{Latex[scale=1]}] (C) to (H);
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\draw [-{Latex[scale=1]}] (D) to (A);
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\draw [-{Latex[scale=1]}, bend left=8] (D) to (C);
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\draw [-{Latex[scale=1]}] (D) to [out=240.0,in=210.0,looseness=8] (D);
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\draw [-{Latex[scale=1]}, bend left=8] (D) to (F);
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\draw [-{Latex[scale=1]}, bend left=8] (D) to (H);
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\draw [-{Latex[scale=1]}] (E) to (B);
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\draw [-{Latex[scale=1]}] (E) to [out=285.0,in=255.0,looseness=8] (E);
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\draw [-{Latex[scale=1]}] (E) to (G);
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\draw [-{Latex[scale=1]}] (E) to (H);
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\draw [-{Latex[scale=1]}] (F) to (A);
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\draw [-{Latex[scale=1]}, bend left=8] (F) to (D);
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\draw [-{Latex[scale=1]}] (F) to [out=330.0,in=300.0,looseness=8] (F);
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\draw [-{Latex[scale=1]}, bend left=8] (F) to (H);
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\draw [-{Latex[scale=1]}, bend left=8] (G) to (A);
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\draw [-{Latex[scale=1]}] (G) to (D);
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\draw [-{Latex[scale=1]}] (G) to (F);
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\draw [-{Latex[scale=1]}] (G) to (H);
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\draw [-{Latex[scale=1]}] (H) to (A);
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\draw [-{Latex[scale=1]}, bend left=8] (H) to (D);
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\draw [-{Latex[scale=1]}, bend left=8] (H) to (F);
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\draw [-{Latex[scale=1]}] (H) to [out=420.0,in=390.0,looseness=8] (H);
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\end{scope}
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\end{tikzpicture}
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7
exam_template_graphics/graphics/src/adjacency.txt
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7
exam_template_graphics/graphics/src/adjacency.txt
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# Graph
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matrix
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0110
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1001
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1001
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0110
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11
exam_template_graphics/graphics/src/directedFromMatrix.txt
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11
exam_template_graphics/graphics/src/directedFromMatrix.txt
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# Graph
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matrix
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10101010
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10100101
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10010101
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10110101
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01001011
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10010101
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10010101
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10010101
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@ -0,0 +1,17 @@
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# Matrix
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undirected
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A B C D E F G H
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AB
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AC
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CD
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DE
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HA
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FD
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CB
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FG
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DE
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DG
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AH
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FB
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\node (H) at (2.82843,2.82843) {$H$};
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\end{scope}
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\draw (A) -- (B);
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\begin{scope}[every draw/.style={}]
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\draw (A) -- (B);
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\draw (A) -- (C);
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\draw (A) -- (H);
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\draw (B) -- (C);
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\draw (B) -- (F);
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\draw (C) -- (D);
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\draw (D) -- (E);
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\draw (H) -- (A);
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\draw (F) -- (D);
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\draw (C) -- (B);
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\draw (F) -- (G);
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\draw (D) -- (E);
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\draw (D) -- (F);
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\draw (D) -- (G);
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\draw (A) -- (H);
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\draw (F) -- (B);
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\draw (F) -- (G);
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\end{scope}
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\end{tikzpicture}
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14
exam_template_graphics/graphics/undirectedGraphToMatrix.tex
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14
exam_template_graphics/graphics/undirectedGraphToMatrix.tex
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\begin{figure}[H]
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\[
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\begin{pmatrix}
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0 & 1 & 1 & 0 & 0 & 0 & 0 & 1 \\
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1 & 0 & 1 & 0 & 0 & 1 & 0 & 0 \\
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1 & 1 & 0 & 1 & 0 & 0 & 0 & 0 \\
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0 & 0 & 1 & 0 & 1 & 1 & 1 & 0 \\
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0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 \\
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0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 \\
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0 & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\
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1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\
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\end{pmatrix}
|
||||
\]
|
||||
\end{figure}
|
@ -17,6 +17,25 @@
|
||||
|
||||
\usepackage{verbatim}
|
||||
|
||||
\newcommand{\verbatimDiagram}[1]{
|
||||
\section{#1}
|
||||
\verbatiminput{graphics/src/#1.txt}
|
||||
|
||||
\includeDiagram{graphics/#1.tex}
|
||||
|
||||
\break{}
|
||||
}
|
||||
|
||||
\newcommand{\verbatimInput}[1]{
|
||||
\section{#1}
|
||||
|
||||
\verbatiminput{graphics/src/#1.txt}
|
||||
|
||||
\input{graphics/#1.tex}
|
||||
|
||||
\break{}
|
||||
}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\ntnuTitle{}
|
||||
@ -24,41 +43,20 @@
|
||||
|
||||
\tableofcontents
|
||||
|
||||
\begin{excs}
|
||||
\verbatimDiagram{hasse}
|
||||
|
||||
\exc{}
|
||||
\verbatiminput{graphics/src/hasse.txt}
|
||||
\verbatimDiagram{automata}
|
||||
|
||||
\includeDiagram{graphics/hasse.tex}
|
||||
\verbatimInput{truthtable}
|
||||
|
||||
\break{}
|
||||
\verbatimDiagram{undirectedGraph}
|
||||
|
||||
\exc{}
|
||||
\verbatiminput{graphics/src/automata.txt}
|
||||
\verbatimDiagram{complete6}
|
||||
|
||||
\includeDiagram{graphics/automata.tex}
|
||||
\verbatimDiagram{adjacency}
|
||||
|
||||
\break{}
|
||||
\verbatimInput{undirectedGraphToMatrix}
|
||||
|
||||
\exc{}
|
||||
\verbatiminput{graphics/src/truthtable.txt}
|
||||
|
||||
\input{graphics/truthtable.tex}
|
||||
|
||||
\break{}
|
||||
|
||||
\exc{}
|
||||
\verbatiminput{graphics/src/undirectedGraph.txt}
|
||||
|
||||
\includeDiagram{graphics/undirectedGraph.tex}
|
||||
|
||||
\break{}
|
||||
|
||||
\exc{}
|
||||
\verbatiminput{graphics/src/complete6.txt}
|
||||
|
||||
\includeDiagram{graphics/complete6.tex}
|
||||
|
||||
\end{excs}
|
||||
\verbatimDiagram{directedFromMatrix}
|
||||
|
||||
\end{document}
|
9
exam_template_graphics/main.toc
Normal file
9
exam_template_graphics/main.toc
Normal file
@ -0,0 +1,9 @@
|
||||
\babel@toc {english}{}
|
||||
\contentsline {section}{\numberline {1}hasse}{1}{section.1}%
|
||||
\contentsline {section}{\numberline {2}automata}{2}{section.2}%
|
||||
\contentsline {section}{\numberline {3}truthtable}{3}{section.3}%
|
||||
\contentsline {section}{\numberline {4}undirectedGraph}{4}{section.4}%
|
||||
\contentsline {section}{\numberline {5}complete6}{5}{section.5}%
|
||||
\contentsline {section}{\numberline {6}adjacency}{6}{section.6}%
|
||||
\contentsline {section}{\numberline {7}undirectedGraphToMatrix}{7}{section.7}%
|
||||
\contentsline {section}{\numberline {8}directedFromMatrix}{8}{section.8}%
|
Loading…
Reference in New Issue
Block a user