From e134b519aa2a3d3f24e5adeb243a4cc1ef5593d6 Mon Sep 17 00:00:00 2001 From: OliBomby Date: Mon, 29 Mar 2021 02:48:10 +0200 Subject: [PATCH] initial commit --- .gitignore | 16 +++ README.md | 38 ++++++ TSP_Solver/Graph_TSP.py | 55 ++++++++ TSP_Solver/algorithms.py | 249 ++++++++++++++++++++++++++++++++++++ TSP_Solver/bounds.py | 202 +++++++++++++++++++++++++++++ TSP_Solver/disjoint_sets.py | 22 ++++ basic_converter.py | 56 ++++++++ config.ini | 32 +++++ config2.ini | 26 ++++ config_animation.ini | 32 +++++ converter.py | 129 +++++++++++++++++++ image_to_anchors.py | 22 ++++ images/250.bmp | Bin 0 -> 518454 bytes images/image pepega.png | Bin 0 -> 163729 bytes images/urdead.png | Bin 0 -> 270367 bytes images_to_animation | 74 +++++++++++ requirements.txt | 4 + smart_converter.py | 226 ++++++++++++++++++++++++++++++++ 18 files changed, 1183 insertions(+) create mode 100644 .gitignore create mode 100644 README.md create mode 100644 TSP_Solver/Graph_TSP.py create mode 100644 TSP_Solver/algorithms.py create mode 100644 TSP_Solver/bounds.py create mode 100644 TSP_Solver/disjoint_sets.py create mode 100644 basic_converter.py create mode 100644 config.ini create mode 100644 config2.ini create mode 100644 config_animation.ini create mode 100644 converter.py create mode 100644 image_to_anchors.py create mode 100644 images/250.bmp create mode 100644 images/image pepega.png create mode 100644 images/urdead.png create mode 100644 images_to_animation create mode 100644 requirements.txt create mode 100644 smart_converter.py diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..ebca847 --- /dev/null +++ b/.gitignore @@ -0,0 +1,16 @@ +# Virtual env files +venv +venv/* + +# Project files +.idea +.idea/* + +# Test images +images/* +!images/urdead.png +!images/image pepega.png +!images/250.bmp + +# Output code +output.txt \ No newline at end of file diff --git a/README.md b/README.md new file mode 100644 index 0000000..dbeb243 --- /dev/null +++ b/README.md @@ -0,0 +1,38 @@ +# Image to Anchors +Tool for converting images to slider anchors for view in the osu! editor. + +## Usage +To use, install the libraries from requirements.txt, open image_to_anchors.py, input the path to your image and run it. +The .osu code of the slider will be in output.txt + +For animations use images_to_animation.py. Input the path to the folder with all the images and give it the +start time and frame duration in milliseconds for timing the frames. Multiple slidercodes will be generated in output.txt + +## Config +You can tweak how the conversion works by editing the config files or reading a different config file. + +The file config.ini has settings for (what I think) the best quality image in the editor and +it's meant to be viewed at 800x504 custom resolution (which you can set by manually editing your osu! config file). + +The file config2.ini has settings for a decent result which can be viewed at 1080p and most other resolutions. + +### Explanation of all config settings +- PIXEL_SPACING: The distance between every anchor in osu! pixels. +- ROTATE: To adjust some offsets and rotate the bounding box, so the result looks good after rotating it 90 degrees. +- LAYER_2_OFFSET: To offset the second layer by 4 osu! pixels which results in a seamingly higher resolution in the result. +- BRIGHT_BG: To make the result look better on bright backgrounds by adding some white anchors to hide red anchors outside the bounds of the image. +- E_MODE: To generate the anchors in an E pattern instead of the usual back-and-forth lines. Might look better on some edges. +- VERBOSE: To print extra debug information. +- SLIDER_MAX_WIDTH: Maximum width in osu! pixels for the result. +- SLIDER_MAX_HEIGHT: Maximum height in osu! pixels for the result. + +### Colour programming +There are two anchor layers and for both layers you can define entirely in +the config file how to generate anchors for each luminosity level. + +The luminosity ranges from 0 to 255. +You configure the anchors by adding key-value pairs in the [Layer 1] or [Layer 2] categories. +The key is the luminosity level and the value is a string of 'R' 'W' and '\_' which defines a pattern of anchors. +'R' adds a red anchor, 'W' adds a white anchor, and '\_' moves one osu! pixel further. + +For example "0: RR_RR_RR_RR_RR_RR_RR" generates 7 double stacked red anchors 1 pixel apart for any luminosity from 0 to the next. diff --git a/TSP_Solver/Graph_TSP.py b/TSP_Solver/Graph_TSP.py new file mode 100644 index 0000000..8bd9b2f --- /dev/null +++ b/TSP_Solver/Graph_TSP.py @@ -0,0 +1,55 @@ +import algorithms +import bounds + + +class Graph_TSP: + # Nodes should be a dictionary of key value pairing : node num to xy coordinates + # Edges are implied in the adjacency matrix + # Adjacency matrix will be n x n; where n is the number of nodes + def __init__(self, nodeDict, adjMatrix, instanceName, solution): + self.nodeDict = nodeDict + self.adjMatrix = adjMatrix + self.counts = len(nodeDict) + self.edgeDict = {} + self.instanceName = instanceName + self.solution = solution + for i in range(self.counts): + if self.counts > 1: + for j in range(i + 1, self.counts): + vertices = (i, j) + self.edgeDict[vertices] = self.adjMatrix[i, j] + self.Bounds = bounds.Bounds(self.nodeDict, self.adjMatrix) + self.solutions = algorithms.Algorithms(self.nodeDict, self.adjMatrix, self.counts, self.edgeDict) + + def HKLowerBoundCost(self): + return self.Bounds.calculateHKLB() + + def oneTreeBound(self): + return self.Bounds.calculateOTB(self.adjMatrix)[0] + + def upperBound(self): + return self.Bounds.calculateMSTUpperBound() + + def randomSolution(self): + return self.solutions.random() + + def nearestNeighbor(self): + return self.solutions.nn() + + def greedy(self): + return self.solutions.g() + + def convexhullInsert(self): + return self.solutions.convHull() + + def christofides(self): + return self.solutions.cf()[3] + + def cost(self, path): + counter = 0 + for edge in path: + checkEdge = edge + if (checkEdge not in self.edgeDict): + checkEdge = (edge[1], edge[0]) + counter += self.edgeDict[checkEdge] + return counter diff --git a/TSP_Solver/algorithms.py b/TSP_Solver/algorithms.py new file mode 100644 index 0000000..79f91e2 --- /dev/null +++ b/TSP_Solver/algorithms.py @@ -0,0 +1,249 @@ +import random +import operator +import numpy as np +import disjoint_sets as DS +from scipy.spatial import ConvexHull +from scipy.sparse.csgraph import minimum_spanning_tree +import networkx.algorithms as naa +import networkx as nx + + +class Algorithms: + def __init__(self, nodeDict, adjMatrix, counts, edgeDict): + self.nodeDict = nodeDict + self.adjMatrix = adjMatrix + self.counts = counts + self.edgeDict = edgeDict + + # Random solution formed by shuffling nodes + # Meant to provide bad solutions + def random(self): + unvisitedNodes = [i for i in range(0, self.counts)] + random.shuffle(unvisitedNodes) + edgePath = [] + for i in range(0, len(unvisitedNodes)): + if i < self.counts - 1: + edgePath.append((unvisitedNodes[i], unvisitedNodes[i + 1])) + else: + edgePath.append((unvisitedNodes[i], unvisitedNodes[0])) + return self.listConverter(edgePath) + + ''' + NearestNeighbor + Input: counts (an integer that describes the number of nodes in your adjacency matrix) + adjMatrix (counts x counts adjacency Matrix that has edge lengths) + Output: edgePath (list of edges that is the nearest neighbor algorithm's solution) + 3. Based on the minimum edge weight, find the index of that weight in the original matrix. + 4. If that index is NOT in the visitedNodes, remove it from the unvistedNodes list and add it + to the visitedNodes. + 5. Else, remove the minIndex from the edges array and start over from step 2. + 6. Once you remove all the elements of unvisitedNode, terminate and return the sequence of + vertices you will follow. + ''' + + def nn(self): + # Initialize visitedNodes to ensure no cycle is created + visitedNodes = [] + edgePath = [] + # unvisitedNodes: list of unvisited nodes + unvisitedNodes = [i for i in range(0, self.counts)] + # Pick a random node to visit + random.shuffle(unvisitedNodes) + node = unvisitedNodes.pop() + visitedNodes.append(node) + while unvisitedNodes: + # Select current node's closest neighbor (minimum edge weight) + edges = np.copy(self.adjMatrix[node]) + sortedIndices = np.argsort(edges) + for index in sortedIndices: + if index not in visitedNodes: + minIndex = index + break + unvisitedNodes.remove(minIndex) + visitedNodes.append(minIndex) + node = minIndex + for i in range(0, self.counts): + if i < self.counts - 1: + edgePath.append((visitedNodes[i], visitedNodes[i + 1])) + else: + edgePath.append((visitedNodes[i], visitedNodes[0])) + return edgePath + + ''' + Greedy Search + 1. Sort the edges by weight values. + 2. Select the least-valued edge. + 3. Make sure it does not form a cycle if added. I do this by checking if both vertices are in + visitedNodes. This is accomplished with a small helper function isCycle. + 4. Check also if the two nodes have less than degree 2. + 5. If both constraints apply, add 1 to each degree and also change visitedNodes. Make sure to + remove the edge that we added. + 6. Start from the next least-value again and check each to make sure no cycle is formed and all degrees + are less than 2. + ''' + + def g(self): + allNodes = [] + edgePath = [] + for node in range(0, self.counts): + allNodes.append(DS.disjoint_set(node)) + sorted_edges = sorted(self.edgeDict.items(), key=operator.itemgetter(1)) + degreeDict = {element: 0 for element in allNodes} + numEdges = 0 + startNode = allNodes[sorted_edges[0][0][0]] + while numEdges < self.counts - 1: + for edge in sorted_edges: + vertices = edge[0] + ds1 = allNodes[vertices[0]] + ds2 = allNodes[vertices[1]] + if not (self.isCycle(ds1, ds2)) and self.nodeLessTwo(ds1, ds2, degreeDict): + ds1.joinSets(ds2) + degreeDict[ds1] += 1 + degreeDict[ds2] += 1 + numEdges += 1 + edgePath.append(vertices) + lastTwo = [allNodes.index(x) for x in degreeDict.keys() if degreeDict[x] == 1] + edgePath.append((lastTwo[0], lastTwo[1])) + return edgePath + + def isCycle(self, ds1, ds2): + return ds1.find() == ds2.find() + + def nodeLessTwo(self, d1, d2, degreeDict): + return (degreeDict[d1] < 2) and (degreeDict[d2] < 2) + + ''' + Convex Hull Insertion + 1. Form a convex hull of our current graph. This forms our initial cycle. + 2. For each node not in our current convex hull, find an edge e_ij = {n_i, n_j} in our current convex hull such that w_i,r + w_r,j - w_i,j + is minimal and keep track of this minimal triplet. + 3. For all triplets, find the minimal triplet (n_i', n_j',n_r') such that (w_i,r' + w_r,j')/ w_i,j' is minimal. + 4. Insert n_r' between n_i' and n_j' by adding the edges e_r,i & e_r,j while removing edge e_i,j + 5. Repeat step 2-4 until all nodes have been added to our cycle. + ''' + + def convHull(self): + # Initial Subtour composed of Convex Hull + allPoints = np.array(list(self.nodeDict.values())) + convHull = ConvexHull(allPoints) + listofHullEdges = convHull.simplices.tolist() + listofHullIndices = convHull.vertices.tolist() + allTours = [listofHullEdges] + unvisitedNodes = [z for z in self.nodeDict.keys() if z not in listofHullIndices] + visitedNodes = listofHullIndices[:] + listOfCurrentEdges = listofHullEdges[:] + while unvisitedNodes: + triplets = [] + listOfCurrentEdges = listOfCurrentEdges[:] + # Go through each node not in the current Cycle + for node in unvisitedNodes: + neighborVals = self.adjMatrix[node] + minVal = 1000000000000 + triplet = (-10, -10, -10) + # Find the minimal triplet for each node that adheres to the minimal w_ir + w_jr - w_ij + for edge in listOfCurrentEdges: + nodeI = edge[0] + nodeJ = edge[1] + cost = neighborVals[nodeI] + neighborVals[nodeJ] - self.adjMatrix[nodeI][nodeJ] + if cost < minVal: + minVal = cost + triplet = (nodeI, nodeJ, node) + triplets.append(triplet) + # From all these triplets, find the most optimal one based on the ratio! + minRatio = 1000000000000 + chosenTrip = (-10, -10, -10) + for triple in triplets: + ratio = (self.adjMatrix[triple[0]][triple[2]] + self.adjMatrix[triple[1]][triple[2]]) / \ + self.adjMatrix[triple[0]][triple[1]] + if minRatio > ratio: + minRatio = ratio + chosenTrip = triple + # Insert node_r between node_i and node_j + node_i = chosenTrip[0] + node_j = chosenTrip[1] + node_r = chosenTrip[2] + currEdge = [x for x in listOfCurrentEdges if all([node_i in x, node_j in x])][0] + listOfCurrentEdges.append([node_i, node_r]) + listOfCurrentEdges.append([node_j, node_r]) + listOfCurrentEdges.remove(currEdge) + unvisitedNodes.remove(node_r) + visitedNodes.append(node_r) + # Alltours is for visualization Purposes + allTours.append(listOfCurrentEdges) + return self.listConverter(listOfCurrentEdges), allTours + + ''' + Christofides Algorithm + 1. Form minimum spanning tree T of G. + 2. Generate an Minimum perfect matching of the vertices in the MST that have odd degrees. + 3. Form an Eulerian path on the multigraph formed by the union (keep duplicates) of the MST and minimum weight perfect matching. + 4. Perform shortcutting and skip repeated vertices in the Eulerian path to get a Hamiltonian circuit. + ''' + + def cf(self): + # Create a minimum spanning Tree of Graph G + Tcsr = minimum_spanning_tree(self.adjMatrix) + MSTedges = [] + degreeDict = dict(zip(self.nodeDict.keys(), [0] * len(self.nodeDict.keys()))) + Z = Tcsr.toarray().astype(float) + for i in range(len(Z)): + array = np.nonzero(Z[i])[0] + for index in array: + if index.size != 0: + degreeDict[i] += 1 + degreeDict[index] += 1 + tuplex = (i, index) + MSTedges.append(tuplex) + # STEP 2: Isolate the vertices of the MST with odd degree + OddVerts = [x for x in degreeDict.keys() if degreeDict[x] % 2 != 0] + # STEP 3: Only Consider the values in OddVerts and form a min-weight perfect matching + H = nx.Graph() + H.add_nodes_from(self.nodeDict.keys()) + for i in range(len(OddVerts)): + for j in range(len(OddVerts)): + if i != j: + H.add_edge(OddVerts[i], OddVerts[j], weight=-self.adjMatrix[OddVerts[i]][OddVerts[j]]) + minWeight = list(naa.max_weight_matching(H, maxcardinality=True)) + uniqueMW = [] + # Prune out redundant Tuples + for edge in minWeight: + if edge not in uniqueMW and (edge[1], edge[0]) not in uniqueMW: + uniqueMW.append(edge) + unionMW_MST = MSTedges[:] + for tup in uniqueMW: + # Only add first index since both edges are returned for instance: (0,1) & (1,0) are returned + unionMW_MST.append(tup) + degreeDict[tup[0]] += 1 + degreeDict[tup[1]] += 1 + # Retrieve the Eulerian Circuit + eulerianCircuit = self.eulerianTour(unionMW_MST, self.nodeDict) + shortCut = [] + unvisitedPath = [] + totalPath = [i for sub in eulerianCircuit for i in sub] + for node in totalPath: + if node not in unvisitedPath: + shortCut.append(node) + unvisitedPath.append(node) + return [MSTedges, minWeight, eulerianCircuit, self.pathEdges(shortCut)] + + # Make sure to connect the first and last vertex to get a hamiltonian cycle! + def pathEdges(self, visitedNodes): + solution = [] + for i in range(0, len(visitedNodes)): + if i < len(visitedNodes) - 1: + solution.append((visitedNodes[i], visitedNodes[i + 1])) + else: + solution.append((visitedNodes[i], visitedNodes[0])) + return solution + + def eulerianTour(self, setOfEdges, vertDict): + tempGraph = nx.MultiGraph() + tempGraph.add_nodes_from(vertDict.keys()) + tempGraph.add_edges_from(setOfEdges) + return list(nx.eulerian_circuit(tempGraph)) + + def listConverter(self, edgeList): + tupleSol = [] + for listElem in edgeList: + tupleSol.append((listElem[0], listElem[1])) + return tupleSol diff --git a/TSP_Solver/bounds.py b/TSP_Solver/bounds.py new file mode 100644 index 0000000..ded4ded --- /dev/null +++ b/TSP_Solver/bounds.py @@ -0,0 +1,202 @@ +import random +import numpy as np +from scipy.sparse.csgraph import minimum_spanning_tree + + +class Bounds: + def __init__(self, nodeDict, adjMatrix): + self.nodeDict = nodeDict + self.adjMatrix = adjMatrix + self.counts = len(nodeDict) + self.edgeDict = {} + for i in range(self.counts): + for j in range(i + 1, self.counts): + vertices = (i, j) + self.edgeDict[vertices] = self.adjMatrix[i, j] + + ''' + Held-Karp Lower Bound + An iterative estimation that provides the tightest lower bound for a TSP. The HKLB differs based on U (Target Value). + One can determine the best HKLB through experimentations of U for each TSP instance. + ''' + + def calculateHKLB(self): + # Input Parameters + # U our upper bound target value is selected as roughly 115% of the OTB lower bound + U = 1.15 * self.calculateOTB(self.adjMatrix)[0] + iterationFactor = 0.015 + maxChanges = 100 + hkBound = -10000000000000000 + tsmall = 0.001 + alpha = 1 + beta = 0.5 + nodeNumbers = np.zeros(self.counts) + numIterations = int(round(iterationFactor * self.counts)) + if numIterations == 0: + numIterations += 1 + tVector = np.zeros(numIterations) + newAdjMat = self.adjMatrix.copy() + for i in range(0, maxChanges): + for k in range(0, numIterations): + # Calcuate the new edge weights based on nodeNumbers + tempMatrix = self.calcNewMatrix(newAdjMat, nodeNumbers) + result = self.calculateOptimalOTB(tempMatrix) + oneTreeBound = result[0] + oneTreeEdges = result[1] + # HKBound is given as the sum of the OTB of the adjusted edges and 2* the sum of the nodeNumbers + newHkBound = oneTreeBound + 2 * np.sum(nodeNumbers) + # Improvement of hKBound + if newHkBound > hkBound: + hkBound = newHkBound + # aTour contains a boolean that says if it's a tour and corresponding degDict + aTour = self.isATourOT(oneTreeEdges) + if aTour[0]: + return hkBound + degsVals = list(aTour[1].values()) + sumAllDegs = float(np.sum(np.square(2 - np.array(degsVals)))) + tVector[k] = alpha * (U - newHkBound) / sumAllDegs + # Terminate when the stepSize is too small + if tVector[k] < tsmall: + return hkBound + deltNode = tVector[k] * (2 - np.array(degsVals)) + nodeNumbers = nodeNumbers + deltNode + # Changes the decrement factor each loop + alpha = beta * alpha + return hkBound + + def calcNewMatrix(self, adjMatrix, nodeNumbers): + temp = adjMatrix.copy() + m = len(temp) + # i is the index + for i in range(0, m): + temp[i] -= nodeNumbers[i] + temp[:, i] -= nodeNumbers[i] + temp[i][i] = 0 + return temp + + # This function only checks if each node in the 1-tree has degree 2. A 1-tree implies connectedness. If every node has degree 2, + # a one-tree must be a tour. + def isATourOT(self, oneTree): + nodes = range(0, self.counts) + degreeDict = {node: 0 for node in nodes} + for edge in oneTree: + x = edge[0] + y = edge[1] + degreeDict[x] += 1 + degreeDict[y] += 1 + for i in nodes: + if degreeDict[i] != 2: + return [False, degreeDict] + return [True, degreeDict] + + ''' + 1-tree Bound + A form of lower bound that utilizes the 1-tree based on Chapter 7 of The Traveling Salesman Problem: A Computational Study by Cook + 1. Pick a random node v0. + 2. Get the length of the MST after disregarding the random node. + 3. Let S be the sum of the cheapest two edges incident with the random node v0. + 4. Output the sum of 2 and 3. + The 1-Tree bound should approximately be 90.5% of the optimal cost. The best 1-Tree lower bound will be the maximum cost of the many MSTs we get. + ''' + + def calculateOTB(self, adjMatrix): + maxOTBLB = -10000000 + bestTree = [] + for initNode in range(0, self.counts): + MSTedges = self.OTBHelper(adjMatrix, initNode) + r = self.calcCost(MSTedges) + # s is the sum of the cheapest two edges incident with the random node v0. + s = 0 + edgeLengths = adjMatrix[initNode] + nodeNums = range(0, self.counts) + twoNN = sorted(zip(edgeLengths, nodeNums))[1:3] + s = twoNN[0][0] + twoNN[1][0] + temp = r + s + if temp > maxOTBLB: + maxOTBLB = temp + oneTreeEdges = MSTedges[:] + oneTreeEdges.append((initNode, twoNN[0][1])) + oneTreeEdges.append((initNode, twoNN[1][1])) + bestTree = oneTreeEdges + return [maxOTBLB, bestTree] + + def calculateOptimalOTB(self, adjMatrix): + minOTBLB = 1000000 + bestTree = [] + for initNode in range(0, self.counts): + MSTedges = self.OTBHelper(adjMatrix, initNode) + r = self.calcAdjustedCost(MSTedges, adjMatrix) + # s is the sum of the cheapest two edges incident with the random node v0. + s = 0 + edgeLengths = adjMatrix[initNode] + nodeNums = range(0, self.counts) + twoNN = sorted(zip(edgeLengths, nodeNums))[1:3] + s = twoNN[0][0] + twoNN[1][0] + temp = r + s + if temp < minOTBLB: + minOTBLB = temp + oneTreeEdges = MSTedges[:] + oneTreeEdges.append((initNode, twoNN[0][1])) + oneTreeEdges.append((initNode, twoNN[1][1])) + bestTree = oneTreeEdges + return [minOTBLB, bestTree] + + def OTBHelper(self, adjMatrix, initNode): + # Create an AdjMatrix without the row & col containing the initNode + newAdjMat = adjMatrix + newAdjMat = np.delete(newAdjMat, initNode, axis=0) + newAdjMat = np.delete(newAdjMat, initNode, axis=1) + # Calculate MST length without the initNode + mst = minimum_spanning_tree(newAdjMat) + MSTedges = [] + Z = mst.toarray().astype(float) + for i in range(len(Z)): + array = np.nonzero(Z[i])[0] + for index in array: + x = i + y = index + if i >= initNode: + x += 1 + if index >= initNode: + y += 1 + tuplex = (x, y) + MSTedges.append(tuplex) + return MSTedges + + def calcAdjustedCost(self, MSTedges, adjMatrix): + r = 0 + for edge in MSTedges: + r += adjMatrix[edge[0], edge[1]] + return r + + def calcCost(self, MSTedges): + # r is the length of the MST we have without the initNode + r = 0 + for edge in MSTedges: + checkEdge = edge + if (checkEdge not in self.edgeDict): + checkEdge = (edge[1], edge[0]) + r += self.edgeDict[checkEdge] + return r + + ''' + MST Upper Bound + Simply 2* the MST cost of the original dataSet + ''' + + def calculateMSTUpperBound(self): + mst = minimum_spanning_tree(self.adjMatrix) + MSTedges = [] + Z = mst.toarray().astype(float) + for i in range(len(Z)): + array = np.nonzero(Z[i])[0] + for index in array: + tuplex = (i, index) + MSTedges.append(tuplex) + cost = 0 + for edge in MSTedges: + checkEdge = edge + if (checkEdge not in self.edgeDict): + checkEdge = (edge[1], edge[0]) + cost += self.edgeDict[checkEdge] + return 2 * cost diff --git a/TSP_Solver/disjoint_sets.py b/TSP_Solver/disjoint_sets.py new file mode 100644 index 0000000..95a332e --- /dev/null +++ b/TSP_Solver/disjoint_sets.py @@ -0,0 +1,22 @@ +class disjoint_set: + def __init__(self,vertex): + self.parent = self + self.rank = 0 + self.vertex = vertex + def find(self): + if self.parent != self: + self.parent = self.parent.find() + return self.parent + def joinSets(self,otherTree): + root = self.find() + otherTreeRoot = otherTree.find() + if root == otherTreeRoot: + return + if root.rank < otherTreeRoot.rank: + root.parent = otherTreeRoot + elif otherTreeRoot.rank < root.rank: + otherTreeRoot.parent = root + else: + otherTreeRoot.parent = root + root.rank += 1 + diff --git a/basic_converter.py b/basic_converter.py new file mode 100644 index 0000000..17b437e --- /dev/null +++ b/basic_converter.py @@ -0,0 +1,56 @@ +from converter import * + + +# Basic image converter for multi-colour images +class BasicConverter(Converter): + def __init__(self, config_file): + super().__init__(config_file) + + def add_layer(self, anchors, layer, reverse): + y_range = range(self.shape[0], 0, -1) if reverse else range(self.shape[0]) + + for y in y_range: + line_first_anchors_on_pixel = [] + for x in range(self.shape[1]): + # If not in E mode, every other line reverse the scanning direction to create a zigzag pattern + new_x = x + direction = np.array([1, 0]) + if not self.E_MODE and y % 2 == 1: + new_x = self.shape[1] - x - 1 + direction = np.array([-1, 0]) + + osucoord = np.array([new_x, y]) * self.PIXEL_SPACING + + # Handle offset and rotate + if layer == 2 and self.LAYER_2_OFFSET: + osucoord += np.array([4, 4]) + if self.ROTATE: + osucoord -= np.array([1, 1]) + + pixel = self.osu_to_pixel(osucoord) + + next_pixel = self.osu_to_pixel(osucoord + direction * self.PIXEL_SPACING) + next_colour = self.get_anchor_code(next_pixel, layer) + next_white = ((next_pixel[1] < 128 or len(next_colour) == 0) and self.BRIGHT_BG) or next_colour == 'W' + + # Omit transparent pixels + if pixel[1] < 128: + continue + + # Find the corresponding anchor code for this luminosity level + code = self.get_anchor_code(pixel, layer) + + if len(code) == 0: + continue + + # Add anchors for this pixel based on the code + anchors_on_pixel = get_anchors_from_code(code, osucoord, direction, next_white) + + if len(line_first_anchors_on_pixel) == 0 and len(anchors_on_pixel) > 0: + line_first_anchors_on_pixel = anchors_on_pixel + + anchors += anchors_on_pixel + + # If in E mode, move back to the start of the line by repeating the line's first anchors + if self.E_MODE: + anchors += reversed(line_first_anchors_on_pixel) diff --git a/config.ini b/config.ini new file mode 100644 index 0000000..3b7b261 --- /dev/null +++ b/config.ini @@ -0,0 +1,32 @@ +[SETTINGS] +PIXEL_SPACING = 7 +ROTATE = False +LAYER_2_OFFSET = True +BRIGHT_BG = True +E_MODE = False +VERBOSE = True + +SLIDER_MAX_WIDTH = 750 +SLIDER_MAX_HEIGHT = 388 + +[LAYER 1] +0: RR_RR_RR_RR_RR_RR_RR +32: RR_R_RR_R_RR_R_RR +38: R_R_R_R_R_R_R +46: R_R_R__R_R_R +52: R_R__R_R__R +64: R__R__R__R +85: R +127: R +170: +222: +255: + +[LAYER 2] +0: +42: +85: +127: W +170: W +222: +255: \ No newline at end of file diff --git a/config2.ini b/config2.ini new file mode 100644 index 0000000..1d299d2 --- /dev/null +++ b/config2.ini @@ -0,0 +1,26 @@ +[SETTINGS] +PIXEL_SPACING = 3 +ROTATE = False +LAYER_2_OFFSET = True +BRIGHT_BG = False +E_MODE = False +VERBOSE = True + +SLIDER_MAX_WIDTH = 750 +SLIDER_MAX_HEIGHT = 388 + +[LAYER 1] +0: R_R_R +50: R_R +100: R +140: R +190: W +220: W + +[LAYER 2] +0: +50: +100: +140: +190: +220: \ No newline at end of file diff --git a/config_animation.ini b/config_animation.ini new file mode 100644 index 0000000..ec086fa --- /dev/null +++ b/config_animation.ini @@ -0,0 +1,32 @@ +[SETTINGS] +PIXEL_SPACING = 7 +ROTATE = False +LAYER_2_OFFSET = True +BRIGHT_BG = False +E_MODE = False +VERBOSE = False + +SLIDER_MAX_WIDTH = 750 +SLIDER_MAX_HEIGHT = 384 + +[LAYER 1] +0: RR_RR_RR_RR_RR_RR_RR +32: RR_R_RR_R_RR_R_RR +38: R_R_R_R_R_R_R +46: R_R_R__R_R_R +52: R_R__R_R__R +64: R__R__R__R +85: R +127: R +170: +222: +255: + +[LAYER 2] +0: +42: +85: +127: W +170: W +222: +255: \ No newline at end of file diff --git a/converter.py b/converter.py new file mode 100644 index 0000000..6793c08 --- /dev/null +++ b/converter.py @@ -0,0 +1,129 @@ +from PIL import Image +import numpy as np + + +def get_anchors_from_code(code, osucoord, direction, next_white): + anchors_on_pixel = [] + for i in range(len(code)): + c = code[i] + if c == 'R': + if '_' not in code[i:] and '_' in code and next_white: + anchors_on_pixel.append(osucoord.copy()) + break + + anchors_on_pixel.append(osucoord.copy()) + anchors_on_pixel.append(osucoord.copy()) + elif c == 'W': + anchors_on_pixel.append(osucoord.copy()) + elif c == '_': + osucoord += direction + return anchors_on_pixel + + +class Converter: + def __init__(self, config): + self.data = None + self.imgshape = None + self.downscale_factor = None + self.shape = None + + self.PIXEL_SPACING = int(config['SETTINGS']['PIXEL_SPACING']) + self.ROTATE = config['SETTINGS'].getboolean('ROTATE') + self.LAYER_2_OFFSET = config['SETTINGS'].getboolean('LAYER_2_OFFSET') + self.BRIGHT_BG = config['SETTINGS'].getboolean('BRIGHT_BG') + self.E_MODE = config['SETTINGS'].getboolean('E_MODE') + self.VERBOSE = config['SETTINGS'].getboolean('VERBOSE') + + self.SLIDER_MAX_WIDTH = int(config['SETTINGS']['SLIDER_MAX_WIDTH']) + self.SLIDER_MAX_HEIGHT = int(config['SETTINGS']['SLIDER_MAX_HEIGHT']) + + self.LAYER_1_LEVELS = list(map(int, config['LAYER 1'].keys())) + self.LAYER_1_CODES = list(config['LAYER 1'].values()) + self.LAYER_2_LEVELS = list(map(int, config['LAYER 2'].keys())) + self.LAYER_2_CODES = list(config['LAYER 2'].values()) + + def convert(self, path, time=0, start_pos=None): + self.load_image(path) + self.prepare_image() + + if self.VERBOSE: + print("Image resolution: ", self.imgshape) + print("Slider resolution:", self.shape) + print("Slider size: ", self.shape * self.PIXEL_SPACING) + + anchors = [] + + self.add_layer(anchors, 1, False) + self.add_layer(anchors, 2, True) + + if len(anchors) < 2: + print("Insufficient anchors generated for slider.") + return + + if start_pos is not None: + if not np.equal(start_pos, anchors[0]).all(): + anchors.insert(0, start_pos) + + anchor1 = anchors.pop(0) + slidercode = "%s,%s,%s,6,0,L" % (anchor1[0], anchor1[1], int(time)) + + for anchor in anchors: + anchor_string = "|%s:%s" % (anchor[0], anchor[1]) + slidercode += anchor_string + + slidercode += ",1,1,0|0,0:0|0:0,0:0:0:0:\n" + + return slidercode + + def load_image(self, infilename): + img = Image.open(infilename) + img.load() + self.data = np.asarray(img, dtype="int32") + + def prepare_image(self): + # Handle grayscale and colour images + if len(self.data.shape) > 2: + data_color = self.data[:, :, :3] + # Convert colour to gray scale with relative luminance + data_gray = np.average(data_color, axis=2, weights=[0.2126, 0.7152, 0.0722]) + + # If there is no alpha channel, just make everything maximum opacity + if self.data.shape[2] > 3: + data_a = self.data[:, :, 3] + else: + data_a = np.full(data_gray.shape[:2], 255) + else: + data_gray = self.data + data_a = np.full(data_gray.shape[:2], 255) + + self.data = np.dstack([data_gray, data_a]) + self.imgshape = self.data.shape + + # Calculate a downscale factor such that the resulting slider will fit in the boundaries defined in the config + self.downscale_factor = np.max([data_gray.shape[0] / self.SLIDER_MAX_WIDTH, + data_gray.shape[1] / self.SLIDER_MAX_HEIGHT]) * self.PIXEL_SPACING if self.ROTATE else \ + np.max([data_gray.shape[1] / self.SLIDER_MAX_WIDTH, + data_gray.shape[0] / self.SLIDER_MAX_HEIGHT]) * self.PIXEL_SPACING + + self.shape = np.ceil(np.divide(data_gray.shape, self.downscale_factor)).astype(np.int32) + + def osu_to_pixel(self, coord): + scaled = np.round(np.divide(coord, self.PIXEL_SPACING) * self.downscale_factor).astype(np.int32) + try: + return self.data[scaled[1], scaled[0]] + except IndexError: + return np.array([0, 0]) + + def get_anchor_code(self, pixel, layer): + levels = self.LAYER_1_LEVELS if layer == 1 else self.LAYER_1_LEVELS + codes = self.LAYER_1_CODES if layer == 1 else self.LAYER_1_CODES + + level = 0 + while level + 1 < len(levels) and levels[level + 1] <= pixel[0]: + level += 1 + + colour = codes[level] + return colour + + def add_layer(self, anchors, layer, reverse): + pass diff --git a/image_to_anchors.py b/image_to_anchors.py new file mode 100644 index 0000000..d7e35f1 --- /dev/null +++ b/image_to_anchors.py @@ -0,0 +1,22 @@ +from basic_converter import BasicConverter +from smart_converter import SmartConverter +import configparser + + +def main(): + image_path = "images\\urdead.png" + + config = configparser.ConfigParser() + config.read('config2.ini') + + converter = BasicConverter(config) + slidercode = converter.convert(image_path, 0) + + with open("output.txt", "w+") as f: + f.write(slidercode) + + print("Done!") + # input("Press enter to continue...") + +if __name__ == "__main__": + main() diff --git a/images/250.bmp b/images/250.bmp new file mode 100644 index 0000000000000000000000000000000000000000..bd79f3dab2f550135289d3881d1d9ef4ac3169e6 GIT binary patch literal 518454 zcmeIb39MDcw*GtWz2}~18xV{gQNe&>6eZXY6^)=qY#t&;QH*V{iw#C>f?bYXR5Uin zh+;q`h#Fg>qEWW z)mLMDt7g@xQKSCvJ^!Eo>o30_d-6A!zm@;-m%p6J-+%mNi{GRF@|QpE>q6)M&xaAH z0f7Yz7WC`aPqOqM|ADamuY;Jv$p4k1XD;;K^wt0MU;lOGl~?}s(@(1F|NFm>LIAi= z#g|guoBhW4gJoVI5n{2WPIw(2MC}YvcOqw3L)T>cC4#K=; z_uY4Y>#er{_W%5Oh@^``Eq+Erx7lW!w1mnkVm8`nBf>lHyz}d?zrJYEqTaoGbIBVc zfdeg$faHYpI!XDThU?R(&p`(rbou3%&z(E>!w*0F_19mE%84V5Kr16KYt}6FAw`23 z`jYTBOGEW`3Z_mGy`$T1yNxb1y7upX{~MAn!Oz0{-FM&Jdh4wV%OCX$etzSPH?Fzn z8eTzS^K&6$EgqA~EzNag()4=ECizI)mRb(!jvbPuP{I|NwSKq1f1!9AUvFj zCk?X_C!BD?^y$-Ic;SULYu0onMWHNRC2+hEs4oH`as+<)<(IKz$A%<}19cgZ$aWgj z;Bcyd=pAo|OINL0rOtB+WYjfc^hTrWnPP|9>O=T|0}eR+@WVIQU;`y9#3A#zFPn%! z+BzW~Q6BEqUsx`a0QR#Oo8?z`{y-FM$ql0(iT 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line1[2]) if line2[0] <= line1[1] and line2[1] >= line1[0] else \ + min(abs(line2[0] - line1[1]) + abs(line2[2] - line1[2]), + abs(line2[1] - line1[0]) + abs(line2[2] - line1[2])) + + +# Image converter specifically made for Bad Apple!! +# Only places white anchors on bright pixels and leaves the rest as black as possible +class SmartConverter(Converter): + def add_layer(self, anchors, layer, reverse): + # - Calculate horizontal lines of adjacent anchors. + # - Calculate adjacencies and distances between the lines. + # - Solve the travelling salesman problem on all the points. + # - Traverse the solution cycle and place anchors for each traversed node. + + if layer > 1: + return + + # Create horizontal scan lines for the graph + if self.VERBOSE: + print("Creating scan lines...") + + lines_dict = {} + g = nx.Graph() + counter = 0 + prev_line_lines = [] + for y in range(self.shape[0]): + x1 = -1 + line_lines = [] + for x in range(self.shape[1]): + osucoord = np.array([x, y]) * self.PIXEL_SPACING + pixel = self.osu_to_pixel(osucoord) + + # Omit transparent pixels + if pixel[0] < 128: + if x - x1 > 1: + line_lines.append(Line(x1 + 1, x - 1, y)) + x1 = x + elif x == self.shape[1] - 1: + line_lines.append(Line(x1 + 1, x, y)) + + for line in line_lines: + line.i = counter + lines_dict[counter] = line + g.add_node(line.get_hashable(), weight=1) + counter += 1 + + # Add direct neighbors + for prev_line in prev_line_lines: + if prev_line.x1 <= line.x2 and prev_line.x2 >= line.x1: + # Lines are touching + g.add_edge(line.get_hashable(), prev_line.get_hashable()) + + prev_line_lines = line_lines + + if self.VERBOSE: + print("counter: %s" % counter) + + if counter == 0: + return + + # Detect disconnected fragments and connect them + if self.VERBOSE: + print("Connecting components...") + + components = list(nx.connected_components(g)) + while len(components) > 1: + if self.VERBOSE: + print("number of components: %s" % len(components)) + # d contains disconnected subgraphs + for component in components: + # Find the closest connection between this component and another component + closest = None + closest_dist = 99999999999999 + for node in component: + for other_component in components: + if other_component == component: + continue + for other_node in other_component: + dist = line_distance(node, other_node) + if node[2] == other_node[2] == 0: + dist = min(dist, 2) + if node[0] == other_node[0] == 0: + dist = min(dist, 2) + if dist <= closest_dist: + closest_dist = dist + closest = (node, other_node) + # Add the connection + if closest is not None: + g.add_edge(closest[0], closest[1]) + + components = list(nx.connected_components(g)) + + # Use dijkstra's algorithm to calculate distance matrix with pathing + # Each node stores for each other node the distance (int) and the previous node in the path (int) + # This is enough to know the nearest nodes and how to get there + # This can be stored in a 3D int array + if self.VERBOSE: + print("Creating distance matrix...") + len_path = dict(nx.all_pairs_dijkstra(g)) + + # Make fully connected adjacency matrix + adj = np.empty((counter, counter)) + for n in len_path: + dist = len_path[n][0] + for d in dist: + adj[n[3], d[3]] = dist[d] + + # Solve traveling salesman + if self.VERBOSE: + print("Solving TSP...") + instance_graph = Graph.Graph_TSP(lines_dict, adj, "frame", -1) + christofides = instance_graph.christofides() + + result = christofides + + # Get the part of the cycle which is in the top right corner + min_y = 99999999999 + min_x = 99999999999 + min_index = 0 + for i in range(len(result)): + line = lines_dict[result[i][0]] + if line.y < min_y: + min_y = line.y + min_index = i + elif line.y == min_y and line.x1 < min_x: + min_x = line.x1 + min_index = i + + result = result[min_index:] + result[:min_index] + + # Draw anchors + if self.VERBOSE: + print("Drawing anchors...") + prev_line = None + for t in result: + line = lines_dict[t[0]].get_hashable() + + if prev_line is not None: + paths = len_path[prev_line][1] + self.draw_path_to_line(prev_line, line, paths[line], anchors) + + self.draw_line(line, anchors) + + prev_line = line + + def draw_line(self, line, anchors): + for x in range(line[0], line[1] + 1): + anchors.append(np.array((x, line[2])) * self.PIXEL_SPACING) + + def draw_path_to_line(self, start_line, end_line, path, anchors): + pos = (start_line[1], start_line[2]) + lbound = None + rbound = None + prev = None + last_dir_up = None + for line in path: + dir_up = prev[0][2] < line[2] if prev is not None else None + + # Interpolate and check if its inside the line + if lbound is None or rbound is None: + lbound = line[0] + rbound = line[1] + elif pos[1] != line[2]: + lbi = (line[0] - pos[0]) / abs(line[2] - pos[1]) + pos[0] + rbi = (line[1] - pos[0]) / abs(line[2] - pos[1]) + pos[0] + + lbound = max(lbi, lbound) + rbound = min(rbi, rbound) + + # If this is the last line then it will add a line straight to the start of the end line + # we do this check to make sure this doesn't pass through any black area + if line == end_line and lbi < lbound: + lbound = rbound + 1 + + if lbound > rbound or dir_up != last_dir_up: + if prev[0] != start_line and prev[0] != end_line: + nx = prev[2] if (line[0]+line[1])/2 > pos[0] else prev[1] + pos2 = (round((nx - pos[0]) * abs(prev[0][2] - pos[1]) + pos[0]), prev[0][2]) + if pos2 != pos and not (pos2[0] == end_line[0] and pos2[1] == end_line[2])\ + and not (pos2[0] == start_line[1] and pos2[1] == start_line[2]): + anchors.append(np.array(pos2) * self.PIXEL_SPACING) + pos = pos2 + lbound = line[0] + rbound = line[1] + + # Make sure component connections go through the same two points every time + # so only one connection line is visible (all overlap) + if prev is not None and line_distance(prev[0], line) > 1: + # Add an anchor at the closest point + nx = prev[0][1] if line[0] > prev[0][1] else prev[0][0] if line[1] < prev[0][0] else max(line[0], prev[0][0]) + pos2 = (nx, prev[0][2]) + if pos2 != pos and not (pos2[0] == end_line[0] and pos2[1] == end_line[2])\ + and not (pos2[0] == start_line[1] and pos2[1] == start_line[2]): + anchors.append(np.array(pos2) * self.PIXEL_SPACING) + pos = pos2 + + nx = line[0] if line[0] > prev[0][1] else line[1] if line[1] < prev[0][0] else max(line[0], prev[0][0]) + pos2 = (nx, line[2]) + if pos2 != pos and not (pos2[0] == end_line[0] and pos2[1] == end_line[2])\ + and not (pos2[0] == start_line[1] and pos2[1] == start_line[2]): + anchors.append(np.array(pos2) * self.PIXEL_SPACING) + pos = pos2 + + last_dir_up = dir_up + prev = (line, lbound, rbound) +