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epicycles.py
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epicycles.py
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#!usr/bin/python
# -*- coding: utf-8 -*-
#use fft2circle
from __future__ import division
try : #python 2.7
import Tkinter as tk
import tkFileDialog as filedialog
import tkMessageBox as msgbox
except ImportError : #python 3
import tkinter as tk
from tkinter import filedialog
import tkinter.messagebox as msgbox
try :
import ttk
except ImportError : #python 3.6+
import tkinter.ttk as ttk
from PIL import ImageTk, Image
try :
import epi_core
export_flag = True
except ImportError :
export_flag = False
import time
import threading
import webbrowser
from math import sin, cos, floor, pi, log
import numpy as np
import fft2circle
from scipy.interpolate import interp1d, splprep, splev
def _scale(master, text, from_, to, default_, ref=lambda x : x, side=tk.LEFT, **kw) :
'''
Tkinter scale widget generator.
'''
frame = tk.Frame(master)
label = tk.Label(frame, text='%s' % default_)
sc = tk.Scale(frame, label=text, from_=from_, to=to, showvalue=0,
command=lambda *args : label.config(text='%s' % ref(sc.get())), **kw)
sc.set(default_)
sc.pack(side=tk.TOP)
label.pack(side=tk.TOP)
frame.pack(side=side)
return lambda : ref(sc.get())
class window:
'''
The program window.
'''
MIN_SIZE = 100
SIZE = 320
REFRESH = 40 # refresh every 40 miliseconds
MAX_TRACERS = 1000
TRACER_SIZE = 2
SPEED = 2.
L_BIN = 1024
LINED_CIRCLE_MIN = 5.
MIN_CIRCLE_SIZE = 0.3
PROGRESSCALLBACKFREQ = 5
def __init__(self):
self.root = tk.Tk()
self.root.title('Epicycles --An Eternal...')
self.root.resizable(0, 0)
self.points = []
# `points` is something like `[x1, y1, x2, y2, ...]`
self.canvas = tk.Canvas(self.root, width=window.SIZE * 2, height=window.SIZE * 2, bd=0, bg='antiqueWhite')
self.canvas.pack(side=tk.LEFT)
self.canvas.bind('<Button-1>', self.onclick)
self.canvas.bind('<Button-2>', self.undo_click)
self.canvas.bind('<Button-3>', self.undo_click)
# canvas (LMB =>add a point, RMB =>remove a point)
self.canvas.create_line(0, window.SIZE, 2 * window.SIZE, window.SIZE, fill='gray')
self.canvas.create_line(window.SIZE, 0, window.SIZE, 2 * window.SIZE, fill='gray')
# axies
self.show_lines = True
self.show_animation = False
self.lines_id = self.canvas.create_polygon(0, 0, 0, 0, fill='', outline='gray70')
self.through_lines_id = []
self.points_id = []
self.epicycles_id = []
self.tracers_id = [0] * window.MAX_TRACERS
self.images_id = []
self.tn = 0
self.sorted_flag = 1
self.on_settings_opened = False
self.on_export_opened = False
self.on_about_opened = False
self.interpolation = 1
# 0 stands for none, 1 stands for linear, 2 stands for spline
self.align_method = 1
# 0 for crop upper-left square, 2 for scale down, 3 for fill
# widgets
self.frame_buttons = tk.Frame(self.root, width=150)
self.notebook = ttk.Notebook(self.root)
self.frame_logs = tk.Frame(width=100)
self.listbox_points = tk.Listbox(self.frame_logs, activestyle='dotbox', height=17)
self.listbox_points.pack()
self.notebook.add(self.frame_logs, text='points')
self.frame_epicycles = tk.Frame(width=100)
self.listbox_epicycles = tk.Listbox(self.frame_epicycles, activestyle='dotbox', height=17)
self.listbox_epicycles.pack()
self.notebook.add(self.frame_epicycles, text='epicycles')
self.notebook.pack(side=tk.TOP, expand=tk.YES, fill=tk.X)
self.button_settings = tk.Button(self.frame_buttons,
text='settings', command=self.on_settings)
self.button_settings.pack(side=tk.TOP, fill=tk.X)
self.button_image = tk.Button(self.frame_buttons,
text='open an image', command=self.on_open_image)
self.button_hide_image = tk.Button(self.frame_buttons,
state=tk.DISABLED,
text='hide image', command=self.on_hide_image)
self.button_export = tk.Button(self.frame_buttons, state=tk.DISABLED,
text='export...', command=self.on_export)
self.button_image.pack(side=tk.TOP, fill=tk.X)
self.button_hide_image.pack(side=tk.TOP, fill=tk.X)
self.button_export.pack(side=tk.TOP, fill=tk.X)
self.button_calculate = tk.Button(self.frame_buttons,
text='calculate', command=self.calculate)
self.button_calculate.pack(side=tk.TOP, fill=tk.X)
self.button_animation = tk.Button(self.frame_buttons,
text='show animation',
state=tk.DISABLED, command=self.on_toggle_animation)
self.button_animation.pack(side=tk.TOP, fill=tk.X)
self.button_lines = tk.Button(self.frame_buttons,
text='toggle lines display', command=self.on_lines_display)
self.button_lines.pack(side=tk.TOP, fill=tk.X)
self.button_clear = tk.Button(self.frame_buttons,
text='clear tracers', command=self.on_clear)
self.button_clear.pack(side=tk.TOP, fill=tk.X)
self.button_clear_all = tk.Button(self.frame_buttons,
text='clear everything', command=self.on_clear_all)
self.button_clear_all.pack(side=tk.TOP, fill=tk.X)
self.button_about = tk.Button(self.frame_buttons,
text='About Epicycles & sclereid', command=self.on_about)
self.button_about.pack(side=tk.TOP, fill=tk.X)
self.frame_buttons.pack(side=tk.RIGHT, expand=tk.YES, fill=tk.Y)
self.drawing = False
self.draw()
self.root.mainloop()
def on_settings(self) :
if self.on_settings_opened :
return
self.on_settings_opened = True
tmp = self.show_animation
self.show_animation = False
top_settings = tk.Toplevel(self.root)
top_settings.resizable(0, 0)
top_settings.title('Settings')
speed = _scale(top_settings, 'speed', 1, 40, window.SPEED*5., lambda x : x/5.)
lbin = _scale(top_settings, 'datas', 4, 20, log(window.L_BIN, 2), lambda x : 2**x)
tracers = _scale(top_settings, 'tracers', 50, 2000, window.MAX_TRACERS)
mincirc = _scale(top_settings, 'min circle size', 1, 16,
7-log(window.MIN_CIRCLE_SIZE, 2), lambda x : round(2**(7-x), 3))
sorted_ = tk.IntVar()
_sorted_ = tk.Checkbutton(top_settings, text='sort by radius',
variable=sorted_, onvalue=1, offvalue=0)
self.sorted_flag and _sorted_.select()
interp_ = tk.IntVar()
_interp_ = tk.LabelFrame(top_settings, text='Interpolation')
for i, text in enumerate(['none', 'linear', 'spline']) :
__btn = tk.Radiobutton(_interp_, text=text, variable=interp_, value=i)
self.interpolation == i and __btn.select()
__btn.pack(anchor=tk.W)
_interp_.pack(side=tk.TOP, fill=tk.X)
_sorted_.pack(side=tk.TOP, fill=tk.X)
def top_closing() :
window.SPEED = speed()
window.L_BIN = lbin()
window.MAX_TRACERS = tracers()
window.MIN_CIRCLE_SIZE = mincirc()
self.sorted_flag = sorted_.get()
self.interpolation = interp_.get()
self.on_clear()
if tmp :
self.calculate()
self.show_animation = tmp
top_settings.destroy()
self.on_settings_opened = False
top_settings.protocol('WM_DELETE_WINDOW', top_closing)
def on_export(self):
if self.on_export_opened :
return
self.on_export_opened = True
filter_zero = tk.IntVar()
top_export = tk.Toplevel(self.root)
top_export.resizable(0, 0)
top_export.title('Export')
frame_widgets = tk.Frame(top_export)
_filter_zero = tk.Checkbutton(frame_widgets, text='filter static circle',
variable=filter_zero, onvalue=1, offvalue=0)
_filter_zero.select()
frames = _scale(frame_widgets, 'frames', 2, 50, 4, lambda x : x*100)
fps = _scale(frame_widgets, 'fps', 3, 9, 4, lambda x : x*8)
progressbar = ttk.Progressbar(top_export, orient="horizontal", length=400)
progresslabel = tk.Label(top_export,
text='Note: fps and frames modification\n are only avalible for mp4 option')
self.export_flag = False
self.kill_flag = False
def _update_progress(s) :
if self.kill_flag :
self.kill_flag = False
raise KeyboardInterrupt
if s == epi_core.FINISH_STRING :
self.export_flag = False
button_gif.configure(state=tk.NORMAL)
button_mp4.configure(state=tk.NORMAL)
if self.on_export_opened : #sometimes the user have closed the window in advance
progressbar.step()
progresslabel.config(text=s)
top_export.update()
progressbar.update()
progresslabel.update()
def save_txt() :
filename = filedialog.asksaveasfilename(parent=top_export,
defaultextension='.txt', initialfile='animation.txt')
if not filename :
return
epi_core.text(filename, self.r, self.p, self.n, self.v, filter_zero=filter_zero.get())
def save_gif() :
filename = filedialog.asksaveasfilename(parent=top_export,
defaultextension='.gif', initialfile='animation.gif')
if not filename :
return
t = threading.Thread(target = lambda : epi_core.gif(filename, window.SIZE, self.r, self.p, self.n, self.v,
line_min=window.LINED_CIRCLE_MIN, frames=320, filter_zero=filter_zero.get(),
progresscallback=_update_progress, progresscallbackfreq = window.PROGRESSCALLBACKFREQ))
progressbar.config(maximum=2)
button_gif.configure(state=tk.DISABLED)
button_mp4.configure(state=tk.DISABLED)
t.run()
def save_mp4() :
filename = filedialog.asksaveasfilename(parent=top_export,
defaultextension='.mp4', initialfile='animation.mp4')
if not filename :
return
top_export.focus_force()
self.exporting = True
t = threading.Thread(target = lambda : epi_core.mp4(filename, window.SIZE, self.r, self.p, self.n, self.v,
line_min=window.LINED_CIRCLE_MIN, filter_zero=filter_zero.get(),
fps=fps(), frames=frames(), progresscallback=_update_progress,
progresscallbackfreq = window.PROGRESSCALLBACKFREQ))
progressbar.config(maximum=frames()*2//window.PROGRESSCALLBACKFREQ + 2)
button_gif.configure(state=tk.DISABLED)
button_mp4.configure(state=tk.DISABLED)
self.export_flag = True
t.run()
def top_closing() :
if self.export_flag :
if msgbox.askyesno(message='Export progress not finished, \n'
'exit anyway?') :
self.kill_flag = True
else :
return
top_export.destroy()
self.on_export_opened = False
_filter_zero.pack(side=tk.TOP, anchor=tk.W)
button_txt = tk.Button(frame_widgets, text='export as text', command=save_txt)
button_gif = tk.Button(frame_widgets, text='export as gif', command=save_gif)
button_mp4 = tk.Button(frame_widgets, text='export as mp4', command=save_mp4)
button_txt.pack(side=tk.TOP, fill=tk.X)
button_gif.pack(side=tk.TOP, fill=tk.X)
button_mp4.pack(side=tk.TOP, fill=tk.X)
frame_widgets.pack(side=tk.TOP)
progressbar.pack(side=tk.BOTTOM, fill=tk.X)
progresslabel.pack(side=tk.BOTTOM, fill=tk.X)
top_export.protocol('WM_DELETE_WINDOW', top_closing)
def on_lines_display(self) :
if self.show_lines and len(self.points) >= 4:
self.canvas.delete(self.lines_id)
self.show_lines = not self.show_lines
def on_toggle_animation(self):
self.show_animation = not self.show_animation
def on_open_image(self) :
tmp = self.show_animation
self.show_animation = False
def open_image():
try :
self.img_path = filedialog.askopenfilename(
parent=self.root,
title='select background image to open')
with Image.open(self.img_path) as originimg :
height, width = originimg.size
if self.align_method == 0 :
size = min(height, width)
img = originimg.crop((0, 0, size, size)).resize((window.SIZE*2, window.SIZE*2))
elif self.align_method == 1 :
size = max(height, width)
img = originimg.resize((height*window.SIZE*2//size, width*window.SIZE*2//size))
else :
img = originimg.resize((window.SIZE*2, window.SIZE*2))
tkimg = ImageTk.PhotoImage(img)
self._label = tk.Label(image=tkimg)
self._label.image = tkimg #hack a refrance to make python2.7 happy
self.images_id.append(self.canvas.create_image(window.SIZE, window.SIZE, image=tkimg))
self.button_hide_image.config(state=tk.NORMAL)
except IOError : #exception when PIL cannot recognize the image
msgbox.showerror('Invalid image file', 'Please select a photo,\n'
'e.g. example.tiff, juli.jpg, money.png', icon='warning')
except AttributeError : #exception when cancal open a file
pass
top_open_image = tk.Toplevel(self.root)
top_open_image.resizable(0, 0)
top_open_image.title('Open Image')
align_ = tk.IntVar()
_align_ = tk.LabelFrame(top_open_image, text='Align (non-Square) Image')
for i, text in enumerate(['Crop Upper-Left Square', 'Scale Down & Center', 'Fill']) :
__btn = tk.Radiobutton(_align_, text=text, variable=align_, value=i)
self.align_method == i and __btn.select()
__btn.pack(anchor=tk.W)
_align_.pack(side=tk.LEFT, fill=tk.X)
def on_choose():
self.align_method = align_.get()
#print("self.align_method =", self.align_method)
open_image()
top_open_image.destroy()
button_choose = tk.Button(top_open_image, text='choose from files', command=on_choose)
button_choose.pack(side=tk.LEFT, fill=tk.X)
self.on_clear()
self.show_animation = tmp
def on_hide_image(self) :
self.canvas.delete(self.images_id.pop())
if '_label' in dir(self) :
del self._label
if len(self.images_id) == 0 :
self.button_hide_image.config(state=tk.DISABLED)
def on_about(self) :
if self.on_about_opened :
return
self.on_about_opened = True
top_about = tk.Toplevel(self.root)
top_about.title('About Epicycles')
def hyperlinklabel(master, s, link, **kw) :
u = tk.Label(master, text=s, foreground='blue', # cursor='hand', # there are certain systems doesn't support this
anchor=tk.W, **kw)
u.bind('<Button-1>', lambda event : webbrowser.open_new(link))
return u
frame_description = tk.LabelFrame(top_about, text='Description:')
tk.Label(frame_description, text='A small program to display epicycles with given image.', anchor=tk.W).pack()
hyperlinklabel(frame_description, 'Introduction', r'https://sclereid.github.io/epicycles').pack()
hyperlinklabel(frame_description, 'Source on GitHub', r'https://github.com/sclereid/epicycles').pack()
frame_description.pack(side=tk.TOP, fill=tk.X)
frame_credits = tk.LabelFrame(top_about, text='Credits:')
tk.Label(frame_credits, text='Authors are:', anchor=tk.W).pack()
hyperlinklabel(frame_credits, 'sclereid', r'https://github.com/sclereid').pack()
hyperlinklabel(frame_credits, 'zyyztyy', r'https://github.com/zzyztyy').pack()
frame_credits.pack(side=tk.TOP, fill=tk.X)
frame_license = tk.LabelFrame(top_about, text='License:')
tk.Label(frame_license, text='You should have received a copy of the GNU \n'
'General Public License along with this program, \n'
'if not, see :', anchor=tk.W).pack()
hyperlinklabel(frame_license, r'http://www.gnu.org/licenses/', r'http://www.gnu.org/licenses/').pack()
frame_license.pack(side=tk.TOP, fill=tk.X)
def top_closing() :
self.on_about_opened = False
top_about.destroy()
top_about.protocol('WM_DELETE_WINDOW', top_closing)
def onclick(self, me) :
self.points.append(me.x - window.SIZE)
self.points.append(me.y - window.SIZE)
if len(self.points) > 2:
self.canvas.delete(self.points_id.pop())
self.points_id.append(
self.canvas.create_oval(self.points[-4] - 1 + window.SIZE,
self.points[-3] - 1 + window.SIZE,
self.points[-4] + 1 + window.SIZE,
self.points[-3] + 1 + window.SIZE, tag='p', outline='orange'))
self.points_id.append(
self.canvas.create_oval(me.x - 1, me.y - 1, me.x + 1, me.y + 1, tag='p', fill='red', outline='red'))
self.listbox_points.insert(tk.END, 'point[%d] \tat (%3d, %3d)'
% (len(self.points)//2, me.x - window.SIZE, me.y - window.SIZE))
def undo_click(self, *args) :
if len(self.points) > 0:
self.canvas.delete(self.points_id.pop())
self.points.pop()
self.points.pop()
self.listbox_points.delete(tk.END)
if len(self.points) == 2:
self.canvas.delete(self.lines_id)
def on_clear(self) :
for x in self.tracers_id :
x and self.canvas.delete(x)
self.tracers_id = [0] * window.MAX_TRACERS
def on_clear_all(self) :
tmp = self.show_animation
self.show_animation = False
if msgbox.askyesno('Are you sure?', "By clicking 'yes', \n"
"all your current work will be abandoned.") :
for x in self.epicycles_id :
self.canvas.delete(x)
self.epicycles_id = []
for x in self.through_lines_id :
self.canvas.delete(x)
self.through_lines_id = []
self.listbox_epicycles.delete(0, tk.END)
while len(self.points) > 0 :
self.undo_click()
else :
self.show_animation = tmp
self.on_clear()
def draw(self) :
self.canvas.after(window.REFRESH, self.draw)
if self.drawing :
return
self.drawing = True
if self.show_animation :
N = len(self.n)
_tmp = time.time()/N*window.SPEED*2
tmp = (_tmp-floor(_tmp/2/pi)*2.0*pi)
x, y = 0.0, 0.0
_x, _y = 0.0, 0.0
u = 0
for k in range(N) :
rotation = self.v[k]
_x += self.r[k] * cos(rotation*tmp * self.n[k] + self.p[k])
_y += self.r[k] * sin(rotation*tmp * self.n[k] + self.p[k])
self.canvas.coords(self.epicycles_id[k], int(x - self.r[k]) + window.SIZE,\
int(y - self.r[k]) + window.SIZE, int(x + self.r[k]) + window.SIZE,\
int(y + self.r[k]) + window.SIZE)
if self.r[k] > window.LINED_CIRCLE_MIN :
self.canvas.coords(self.through_lines_id[u], int(x) + window.SIZE,\
int(y) + window.SIZE, int(_x) + window.SIZE,\
int(_y) + window.SIZE)
u += 1
x, y = _x, _y
self.upload_tracers(int(x) + window.SIZE, int(y) + window.SIZE)
if self.show_lines and len(self.points) >= 4 :
self.canvas.delete(self.lines_id)
self.lines_id = self.canvas.create_polygon([z + window.SIZE for z in self.points], fill='', outline='gray70')
self.drawing = False
def upload_tracers(self, x, y) :
if not self.tn < window.MAX_TRACERS :
self.tn = 0
if self.tracers_id[self.tn] == 0 :
self.tracers_id[self.tn] = self.canvas.create_oval(x - window.TRACER_SIZE, y - window.TRACER_SIZE, x + window.TRACER_SIZE, y + window.TRACER_SIZE, fill='red')
else:
self.canvas.coords(self.tracers_id[self.tn], x - window.TRACER_SIZE, y - window.TRACER_SIZE, x + window.TRACER_SIZE, y + window.TRACER_SIZE)
self.tn = (self.tn + 1) % window.MAX_TRACERS
def calculate(self) :
if len(self.points) < 4 :
return
self.show_animation = False
self.on_clear()
for x in self.epicycles_id :
self.canvas.delete(x)
self.epicycles_id = []
for x in self.through_lines_id :
self.canvas.delete(x)
self.through_lines_id = []
self.listbox_epicycles.delete(0, tk.END)
if self.interpolation == 1 :
_z = (np.append(self.points[::2], [self.points[0]]) + \
np.append(self.points[1::2], [self.points[1]]) * 1.0j)/window.SIZE
_t = np.arange(len(_z))
f = interp1d(_t, _z)
t = np.linspace(0, len(_z)-1, window.L_BIN)
array = f(t)
elif self.interpolation == 2 :
try :
ax = np.append(self.points[::2], [self.points[0]])
ay = np.append(self.points[1::2], [self.points[1]])
tck, u = splprep([ax, ay], s=0)
unew = np.linspace(0, 1, window.L_BIN)
out = splev(unew, tck)
array = out[0]/window.SIZE + out[1]*1.0j/window.SIZE
except SystemError:
msgbox.showerror('Error', 'Bad input points: \n'
'Did you click somewhere more than once?\n'
'Try change input points or use another interpolation algorithm.',
icon='error')
self.button_animation.configure(state=tk.DISABLED)
return
else :
array = np.append(self.points[::2], [self.points[0]])/window.SIZE + \
np.append(self.points[1::2], [self.points[1]])/window.SIZE*1.0j
acircle = fft2circle.get_circle_fft(array[:-1])
self.r = []
self.p = []
self.n = []
self.v = []
self.max_through_lines = 0
if self.sorted_flag :
acircle = sorted(acircle, key=lambda _: -_[0])
tmp = 0
for k, (r, n, l, p) in enumerate(acircle) :
if r * window.SIZE < window.MIN_CIRCLE_SIZE :
tmp += 1
continue # filter the circles which are too small
elif r * window.SIZE > window.LINED_CIRCLE_MIN :
self.max_through_lines += 1
self.through_lines_id.append(self.canvas.create_line(0, 0, 0, 0, fill='blue'))
self.r.append(r * window.SIZE)
self.p.append(p)
self.n.append(n)
self.v.append(l)
self.epicycles_id.append(self.canvas.create_oval(0, 0, 0, 0))
self.listbox_epicycles.insert(tk.END,
'circle[%d] radius=%3.3f phi=%3.3f frequency=%3d %sclockwise'
% (k - tmp, self.r[-1], self.p[-1], n, l==1 and 'counter' or ''))
export_flag and self.button_export.configure(state=tk.NORMAL)
self.button_animation.configure(state=tk.NORMAL)
if __name__ == '__main__' :
window()