#!/usr/bin/env python # coding=utf-8 # # Copyright (C) 2005 Carsten Goetze c.goetze@tu-bs.de # # This program is free software; you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation; either version 2 of the License, or # (at your option) any later version. # # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program; if not, write to the Free Software # Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. # import math import random import inkex from inkex.paths import Move, Line def calculate_subdivision(smoothness, x1, y1, x2, y2): # Calculate the vector from (x1,y1) to (x2,y2) x3 = x2 - x1 y3 = y2 - y1 # Calculate the point half-way between the two points hx = x1 + x3 / 2 hy = y1 + y3 / 2 # Calculate normalized vector perpendicular to the vector (x3,y3) length = math.sqrt(x3 * x3 + y3 * y3) if length != 0: nx = -y3 / length ny = x3 / length else: nx = 1 ny = 0 # Scale perpendicular vector by random factor """ r = random.uniform(-length / (1 + smoothness), length / (1 + smoothness)) nx = nx * r ny = ny * r # add scaled perpendicular vector to the half-way point to get the final displaced subdivision point x = hx + nx y = hy + ny return (x, y) class Fractalize(inkex.EffectExtension): def add_arguments(self, pars): pars.add_argument( "-s", "--subdivs", type=int, default=6, help="Number of subdivisons" ) pars.add_argument( "-f", "--smooth", type=float, default=4.0, help="Smoothness of the subdivision", ) def effect(self): for node in self.svg.selection.filter(inkex.PathElement): path = node.path.to_absolute() result = [] for cmd_proxy in path.proxy_iterator(): # type: inkex.Path.PathCommandProxy prev = cmd_proxy.previous_end_point end = cmd_proxy.end_point if cmd_proxy.letter == "M": result.append(Move(*cmd_proxy.args)) else: for seg in self.fractalize( (prev.x, prev.y, end.x, end.y), self.options.subdivs, self.options.smooth, ): result.append(Line(*seg)) result.append(Line(end.x, end.y)) node.path = result def fractalize(self, coords, subdivs, smooth): """recursively subdivide the segments left and right of the subdivision""" subdiv_point = calculate_subdivision(smooth, *coords) if subdivs: # recursively subdivide the segment left of the subdivision point for left_seg in self.fractalize( coords[:2] + subdiv_point[-2:], subdivs - 1, smooth ): yield left_seg yield subdiv_point # recursively subdivide the segment right of the subdivision point for right_seg in self.fractalize( subdiv_point[-2:] + coords[-2:], subdivs - 1, smooth ): yield right_seg if __name__ == "__main__": Fractalize().run()