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""" |
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Sorting algorithms visualizer using Tkinter. |
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This module is comprised of three ``components'': |
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- an array visualizer with methods that implement basic sorting |
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operations (compare, swap) as well as methods for ``annotating'' the |
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sorting algorithm (e.g. to show the pivot element); |
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- a number of sorting algorithms (currently quicksort, insertion sort, |
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selection sort and bubble sort, as well as a randomization function), |
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all using the array visualizer for its basic operations and with calls |
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to its annotation methods; |
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- and a ``driver'' class which can be used as a Grail applet or as a |
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stand-alone application. |
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""" |
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from tkinter import * |
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import random |
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XGRID = 10 |
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YGRID = 10 |
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WIDTH = 6 |
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class Array: |
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|
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class Cancelled(BaseException): |
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pass |
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def __init__(self, master, data=None): |
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self.master = master |
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self.frame = Frame(self.master) |
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self.frame.pack(fill=X) |
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self.label = Label(self.frame) |
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self.label.pack() |
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self.canvas = Canvas(self.frame) |
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self.canvas.pack() |
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self.report = Label(self.frame) |
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self.report.pack() |
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self.left = self.canvas.create_line(0, 0, 0, 0) |
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self.right = self.canvas.create_line(0, 0, 0, 0) |
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self.pivot = self.canvas.create_line(0, 0, 0, 0) |
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self.items = [] |
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self.size = self.maxvalue = 0 |
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if data: |
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self.setdata(data) |
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|
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def setdata(self, data): |
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olditems = self.items |
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self.items = [] |
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for item in olditems: |
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item.delete() |
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self.size = len(data) |
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self.maxvalue = max(data) |
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self.canvas.config(width=(self.size+1)*XGRID, |
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height=(self.maxvalue+1)*YGRID) |
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for i in range(self.size): |
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self.items.append(ArrayItem(self, i, data[i])) |
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self.reset("Sort demo, size %d" % self.size) |
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speed = "normal" |
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|
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def setspeed(self, speed): |
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self.speed = speed |
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def destroy(self): |
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self.frame.destroy() |
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in_mainloop = 0 |
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stop_mainloop = 0 |
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def cancel(self): |
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self.stop_mainloop = 1 |
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if self.in_mainloop: |
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self.master.quit() |
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def step(self): |
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if self.in_mainloop: |
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self.master.quit() |
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def wait(self, msecs): |
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if self.speed == "fastest": |
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msecs = 0 |
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elif self.speed == "fast": |
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msecs = msecs//10 |
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elif self.speed == "single-step": |
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msecs = 1000000000 |
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if not self.stop_mainloop: |
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self.master.update() |
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id = self.master.after(msecs, self.master.quit) |
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self.in_mainloop = 1 |
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self.master.mainloop() |
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self.master.after_cancel(id) |
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self.in_mainloop = 0 |
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if self.stop_mainloop: |
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self.stop_mainloop = 0 |
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self.message("Cancelled") |
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raise Array.Cancelled |
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|
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def getsize(self): |
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return self.size |
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def show_partition(self, first, last): |
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for i in range(self.size): |
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item = self.items[i] |
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if first <= i < last: |
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self.canvas.itemconfig(item, fill='red') |
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else: |
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self.canvas.itemconfig(item, fill='orange') |
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self.hide_left_right_pivot() |
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|
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def hide_partition(self): |
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for i in range(self.size): |
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item = self.items[i] |
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self.canvas.itemconfig(item, fill='red') |
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self.hide_left_right_pivot() |
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|
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def show_left(self, left): |
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if not 0 <= left < self.size: |
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self.hide_left() |
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return |
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x1, y1, x2, y2 = self.items[left].position() |
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self.canvas.coords(self.left, (x1 - 2, 0, x1 - 2, 9999)) |
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self.master.update() |
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def show_right(self, right): |
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if not 0 <= right < self.size: |
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self.hide_right() |
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return |
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x1, y1, x2, y2 = self.items[right].position() |
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self.canvas.coords(self.right, (x2 + 2, 0, x2 + 2, 9999)) |
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self.master.update() |
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def hide_left_right_pivot(self): |
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self.hide_left() |
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self.hide_right() |
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self.hide_pivot() |
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def hide_left(self): |
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self.canvas.coords(self.left, (0, 0, 0, 0)) |
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def hide_right(self): |
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self.canvas.coords(self.right, (0, 0, 0, 0)) |
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def show_pivot(self, pivot): |
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x1, y1, x2, y2 = self.items[pivot].position() |
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self.canvas.coords(self.pivot, (0, y1 - 2, 9999, y1 - 2)) |
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def hide_pivot(self): |
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self.canvas.coords(self.pivot, (0, 0, 0, 0)) |
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def swap(self, i, j): |
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if i == j: return |
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self.countswap() |
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item = self.items[i] |
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other = self.items[j] |
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self.items[i], self.items[j] = other, item |
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item.swapwith(other) |
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def compare(self, i, j): |
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self.countcompare() |
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item = self.items[i] |
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other = self.items[j] |
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return item.compareto(other) |
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def reset(self, msg): |
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self.ncompares = 0 |
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self.nswaps = 0 |
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self.message(msg) |
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self.updatereport() |
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self.hide_partition() |
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def message(self, msg): |
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self.label.config(text=msg) |
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def countswap(self): |
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self.nswaps = self.nswaps + 1 |
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self.updatereport() |
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def countcompare(self): |
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self.ncompares = self.ncompares + 1 |
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self.updatereport() |
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def updatereport(self): |
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text = "%d cmps, %d swaps" % (self.ncompares, self.nswaps) |
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self.report.config(text=text) |
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class ArrayItem: |
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def __init__(self, array, index, value): |
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self.array = array |
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self.index = index |
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self.value = value |
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self.canvas = array.canvas |
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x1, y1, x2, y2 = self.position() |
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self.item_id = array.canvas.create_rectangle(x1, y1, x2, y2, |
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fill='red', outline='black', width=1) |
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self.canvas.tag_bind(self.item_id, '<Button-1>', self.mouse_down) |
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self.canvas.tag_bind(self.item_id, '<Button1-Motion>', self.mouse_move) |
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self.canvas.tag_bind(self.item_id, '<ButtonRelease-1>', self.mouse_up) |
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def delete(self): |
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item_id = self.item_id |
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self.array = None |
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self.item_id = None |
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self.canvas.delete(item_id) |
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def mouse_down(self, event): |
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self.lastx = event.x |
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self.lasty = event.y |
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self.origx = event.x |
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self.origy = event.y |
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self.canvas.tag_raise(self.item_id) |
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def mouse_move(self, event): |
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self.canvas.move(self.item_id, |
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event.x - self.lastx, event.y - self.lasty) |
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self.lastx = event.x |
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self.lasty = event.y |
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def mouse_up(self, event): |
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i = self.nearestindex(event.x) |
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if i >= self.array.getsize(): |
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i = self.array.getsize() - 1 |
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if i < 0: |
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i = 0 |
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other = self.array.items[i] |
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here = self.index |
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self.array.items[here], self.array.items[i] = other, self |
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self.index = i |
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x1, y1, x2, y2 = self.position() |
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self.canvas.coords(self.item_id, (x1, y1, x2, y2)) |
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other.setindex(here) |
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def setindex(self, index): |
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nsteps = steps(self.index, index) |
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if not nsteps: return |
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if self.array.speed == "fastest": |
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nsteps = 0 |
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oldpts = self.position() |
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self.index = index |
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newpts = self.position() |
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trajectory = interpolate(oldpts, newpts, nsteps) |
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self.canvas.tag_raise(self.item_id) |
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for pts in trajectory: |
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self.canvas.coords(self.item_id, pts) |
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self.array.wait(50) |
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def swapwith(self, other): |
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nsteps = steps(self.index, other.index) |
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if not nsteps: return |
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if self.array.speed == "fastest": |
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nsteps = 0 |
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myoldpts = self.position() |
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otheroldpts = other.position() |
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self.index, other.index = other.index, self.index |
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mynewpts = self.position() |
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othernewpts = other.position() |
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myfill = self.canvas.itemcget(self.item_id, 'fill') |
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otherfill = self.canvas.itemcget(other.item_id, 'fill') |
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self.canvas.itemconfig(self.item_id, fill='green') |
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self.canvas.itemconfig(other.item_id, fill='yellow') |
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self.array.master.update() |
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if self.array.speed == "single-step": |
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self.canvas.coords(self.item_id, mynewpts) |
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self.canvas.coords(other.item_id, othernewpts) |
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self.array.master.update() |
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self.canvas.itemconfig(self.item_id, fill=myfill) |
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self.canvas.itemconfig(other.item_id, fill=otherfill) |
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self.array.wait(0) |
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return |
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mytrajectory = interpolate(myoldpts, mynewpts, nsteps) |
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othertrajectory = interpolate(otheroldpts, othernewpts, nsteps) |
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if self.value > other.value: |
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self.canvas.tag_raise(self.item_id) |
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self.canvas.tag_raise(other.item_id) |
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else: |
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self.canvas.tag_raise(other.item_id) |
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self.canvas.tag_raise(self.item_id) |
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try: |
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for i in range(len(mytrajectory)): |
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mypts = mytrajectory[i] |
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otherpts = othertrajectory[i] |
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self.canvas.coords(self.item_id, mypts) |
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self.canvas.coords(other.item_id, otherpts) |
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self.array.wait(50) |
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finally: |
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mypts = mytrajectory[-1] |
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otherpts = othertrajectory[-1] |
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self.canvas.coords(self.item_id, mypts) |
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self.canvas.coords(other.item_id, otherpts) |
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self.canvas.itemconfig(self.item_id, fill=myfill) |
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self.canvas.itemconfig(other.item_id, fill=otherfill) |
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|
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def compareto(self, other): |
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myfill = self.canvas.itemcget(self.item_id, 'fill') |
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otherfill = self.canvas.itemcget(other.item_id, 'fill') |
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if self.value < other.value: |
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myflash = 'white' |
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otherflash = 'black' |
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outcome = -1 |
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elif self.value > other.value: |
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myflash = 'black' |
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otherflash = 'white' |
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outcome = 1 |
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else: |
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myflash = otherflash = 'grey' |
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outcome = 0 |
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try: |
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self.canvas.itemconfig(self.item_id, fill=myflash) |
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self.canvas.itemconfig(other.item_id, fill=otherflash) |
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self.array.wait(500) |
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finally: |
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self.canvas.itemconfig(self.item_id, fill=myfill) |
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self.canvas.itemconfig(other.item_id, fill=otherfill) |
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return outcome |
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|
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def position(self): |
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x1 = (self.index+1)*XGRID - WIDTH//2 |
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x2 = x1+WIDTH |
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y2 = (self.array.maxvalue+1)*YGRID |
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y1 = y2 - (self.value)*YGRID |
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return x1, y1, x2, y2 |
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def nearestindex(self, x): |
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return int(round(float(x)/XGRID)) - 1 |
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def steps(here, there): |
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nsteps = abs(here - there) |
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if nsteps <= 3: |
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nsteps = nsteps * 3 |
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elif nsteps <= 5: |
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nsteps = nsteps * 2 |
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elif nsteps > 10: |
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nsteps = 10 |
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return nsteps |
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|
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def interpolate(oldpts, newpts, n): |
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if len(oldpts) != len(newpts): |
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raise ValueError("can't interpolate arrays of different length") |
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pts = [0]*len(oldpts) |
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res = [tuple(oldpts)] |
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for i in range(1, n): |
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for k in range(len(pts)): |
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pts[k] = oldpts[k] + (newpts[k] - oldpts[k])*i//n |
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res.append(tuple(pts)) |
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res.append(tuple(newpts)) |
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return res |
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def uniform(array): |
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size = array.getsize() |
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array.setdata([(size+1)//2] * size) |
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array.reset("Uniform data, size %d" % size) |
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def distinct(array): |
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size = array.getsize() |
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array.setdata(range(1, size+1)) |
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array.reset("Distinct data, size %d" % size) |
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def randomize(array): |
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array.reset("Randomizing") |
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n = array.getsize() |
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for i in range(n): |
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j = random.randint(0, n-1) |
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array.swap(i, j) |
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array.message("Randomized") |
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def insertionsort(array): |
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size = array.getsize() |
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array.reset("Insertion sort") |
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for i in range(1, size): |
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j = i-1 |
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while j >= 0: |
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if array.compare(j, j+1) <= 0: |
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break |
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array.swap(j, j+1) |
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j = j-1 |
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array.message("Sorted") |
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def selectionsort(array): |
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size = array.getsize() |
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array.reset("Selection sort") |
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try: |
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for i in range(size): |
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array.show_partition(i, size) |
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for j in range(i+1, size): |
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if array.compare(i, j) > 0: |
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array.swap(i, j) |
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array.message("Sorted") |
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finally: |
|
array.hide_partition() |
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|
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def bubblesort(array): |
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size = array.getsize() |
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array.reset("Bubble sort") |
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for i in range(size): |
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for j in range(1, size): |
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if array.compare(j-1, j) > 0: |
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array.swap(j-1, j) |
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array.message("Sorted") |
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|
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def quicksort(array): |
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size = array.getsize() |
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array.reset("Quicksort") |
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try: |
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stack = [(0, size)] |
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while stack: |
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first, last = stack[-1] |
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del stack[-1] |
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array.show_partition(first, last) |
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if last-first < 5: |
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array.message("Insertion sort") |
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for i in range(first+1, last): |
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j = i-1 |
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while j >= first: |
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if array.compare(j, j+1) <= 0: |
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break |
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array.swap(j, j+1) |
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j = j-1 |
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continue |
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array.message("Choosing pivot") |
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j, i, k = first, (first+last) // 2, last-1 |
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if array.compare(k, i) < 0: |
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array.swap(k, i) |
|
if array.compare(k, j) < 0: |
|
array.swap(k, j) |
|
if array.compare(j, i) < 0: |
|
array.swap(j, i) |
|
pivot = j |
|
array.show_pivot(pivot) |
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array.message("Pivot at left of partition") |
|
array.wait(1000) |
|
left = first |
|
right = last |
|
while True: |
|
array.message("Sweep right pointer") |
|
right = right-1 |
|
array.show_right(right) |
|
while right > first and array.compare(right, pivot) >= 0: |
|
right = right-1 |
|
array.show_right(right) |
|
array.message("Sweep left pointer") |
|
left = left+1 |
|
array.show_left(left) |
|
while left < last and array.compare(left, pivot) <= 0: |
|
left = left+1 |
|
array.show_left(left) |
|
if left > right: |
|
array.message("End of partition") |
|
break |
|
array.message("Swap items") |
|
array.swap(left, right) |
|
array.message("Swap pivot back") |
|
array.swap(pivot, right) |
|
n1 = right-first |
|
n2 = last-left |
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if n1 > 1: stack.append((first, right)) |
|
if n2 > 1: stack.append((left, last)) |
|
array.message("Sorted") |
|
finally: |
|
array.hide_partition() |
|
|
|
def demosort(array): |
|
while True: |
|
for alg in [quicksort, insertionsort, selectionsort, bubblesort]: |
|
randomize(array) |
|
alg(array) |
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|
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|
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class SortDemo: |
|
|
|
def __init__(self, master, size=15): |
|
self.master = master |
|
self.size = size |
|
self.busy = 0 |
|
self.array = Array(self.master) |
|
|
|
self.botframe = Frame(master) |
|
self.botframe.pack(side=BOTTOM) |
|
self.botleftframe = Frame(self.botframe) |
|
self.botleftframe.pack(side=LEFT, fill=Y) |
|
self.botrightframe = Frame(self.botframe) |
|
self.botrightframe.pack(side=RIGHT, fill=Y) |
|
|
|
self.b_qsort = Button(self.botleftframe, |
|
text="Quicksort", command=self.c_qsort) |
|
self.b_qsort.pack(fill=X) |
|
self.b_isort = Button(self.botleftframe, |
|
text="Insertion sort", command=self.c_isort) |
|
self.b_isort.pack(fill=X) |
|
self.b_ssort = Button(self.botleftframe, |
|
text="Selection sort", command=self.c_ssort) |
|
self.b_ssort.pack(fill=X) |
|
self.b_bsort = Button(self.botleftframe, |
|
text="Bubble sort", command=self.c_bsort) |
|
self.b_bsort.pack(fill=X) |
|
|
|
|
|
class MyIntVar(IntVar): |
|
def __init__(self, master, demo): |
|
self.demo = demo |
|
IntVar.__init__(self, master) |
|
def set(self, value): |
|
IntVar.set(self, value) |
|
if str(value) != '0': |
|
self.demo.resize(value) |
|
|
|
self.v_size = MyIntVar(self.master, self) |
|
self.v_size.set(size) |
|
sizes = [1, 2, 3, 4] + list(range(5, 55, 5)) |
|
if self.size not in sizes: |
|
sizes.append(self.size) |
|
sizes.sort() |
|
self.m_size = OptionMenu(self.botleftframe, self.v_size, *sizes) |
|
self.m_size.pack(fill=X) |
|
|
|
self.v_speed = StringVar(self.master) |
|
self.v_speed.set("normal") |
|
self.m_speed = OptionMenu(self.botleftframe, self.v_speed, |
|
"single-step", "normal", "fast", "fastest") |
|
self.m_speed.pack(fill=X) |
|
|
|
self.b_step = Button(self.botleftframe, |
|
text="Step", command=self.c_step) |
|
self.b_step.pack(fill=X) |
|
|
|
self.b_randomize = Button(self.botrightframe, |
|
text="Randomize", command=self.c_randomize) |
|
self.b_randomize.pack(fill=X) |
|
self.b_uniform = Button(self.botrightframe, |
|
text="Uniform", command=self.c_uniform) |
|
self.b_uniform.pack(fill=X) |
|
self.b_distinct = Button(self.botrightframe, |
|
text="Distinct", command=self.c_distinct) |
|
self.b_distinct.pack(fill=X) |
|
self.b_demo = Button(self.botrightframe, |
|
text="Demo", command=self.c_demo) |
|
self.b_demo.pack(fill=X) |
|
self.b_cancel = Button(self.botrightframe, |
|
text="Cancel", command=self.c_cancel) |
|
self.b_cancel.pack(fill=X) |
|
self.b_cancel.config(state=DISABLED) |
|
self.b_quit = Button(self.botrightframe, |
|
text="Quit", command=self.c_quit) |
|
self.b_quit.pack(fill=X) |
|
|
|
def resize(self, newsize): |
|
if self.busy: |
|
self.master.bell() |
|
return |
|
self.size = newsize |
|
self.array.setdata(range(1, self.size+1)) |
|
|
|
def c_qsort(self): |
|
self.run(quicksort) |
|
|
|
def c_isort(self): |
|
self.run(insertionsort) |
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|
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def c_ssort(self): |
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self.run(selectionsort) |
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|
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def c_bsort(self): |
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self.run(bubblesort) |
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|
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def c_demo(self): |
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self.run(demosort) |
|
|
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def c_randomize(self): |
|
self.run(randomize) |
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|
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def c_uniform(self): |
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self.run(uniform) |
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|
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def c_distinct(self): |
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self.run(distinct) |
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|
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def run(self, func): |
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if self.busy: |
|
self.master.bell() |
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return |
|
self.busy = 1 |
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self.array.setspeed(self.v_speed.get()) |
|
self.b_cancel.config(state=NORMAL) |
|
try: |
|
func(self.array) |
|
except Array.Cancelled: |
|
pass |
|
self.b_cancel.config(state=DISABLED) |
|
self.busy = 0 |
|
|
|
def c_cancel(self): |
|
if not self.busy: |
|
self.master.bell() |
|
return |
|
self.array.cancel() |
|
|
|
def c_step(self): |
|
if not self.busy: |
|
self.master.bell() |
|
return |
|
self.v_speed.set("single-step") |
|
self.array.setspeed("single-step") |
|
self.array.step() |
|
|
|
def c_quit(self): |
|
if self.busy: |
|
self.array.cancel() |
|
self.master.after_idle(self.master.quit) |
|
|
|
|
|
|
|
|
|
def main(): |
|
root = Tk() |
|
demo = SortDemo(root) |
|
root.protocol('WM_DELETE_WINDOW', demo.c_quit) |
|
root.mainloop() |
|
|
|
if __name__ == '__main__': |
|
main() |
|
|