126 lines
3.8 KiB
Python
126 lines
3.8 KiB
Python
#! /usr/bin/python3
|
|
|
|
# Command line program to create svg apollonian circles
|
|
|
|
# Copyright (c) 2014 Ludger Sandig
|
|
# This file is part of apollon.
|
|
|
|
# Apollon 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 3 of the License, or
|
|
# (at your option) any later version.
|
|
|
|
# Apollon 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 Apollon. If not, see <http://www.gnu.org/licenses/>.
|
|
|
|
|
|
|
|
#import sys
|
|
import math
|
|
|
|
from fablabchemnitz_apollon import ApollonianGasket
|
|
#from coloring import ColorMap, ColorScheme
|
|
|
|
|
|
|
|
|
|
def ag_to_svg(circles, colors, tresh=0.00005):
|
|
"""
|
|
Convert a list of circles to svg, optionally color them.
|
|
@param circles: A list of L{Circle}s
|
|
@param colors: A L{ColorMap} object
|
|
@param tresh: Only circles with a radius greater than the product of tresh and maximal radius are saved
|
|
"""
|
|
svg = []
|
|
|
|
tresh = .000005
|
|
print '>>', tresh
|
|
|
|
# Find the biggest circle, which hopefully is the enclosing one
|
|
# and has a negative radius because of this. Note that this does
|
|
# not have to be the case if we picked an unlucky set of radii at
|
|
# the start. If that was the case, we're screwed now.
|
|
|
|
big = min(circles, key=lambda c: c.r.real)
|
|
|
|
# Move biggest circle to front so it gets drawn first
|
|
circles.remove(big)
|
|
circles.insert(0, big)
|
|
|
|
if big.r.real < 0:
|
|
# Bounding box from biggest circle, lower left corner and two
|
|
# times the radius as width
|
|
corner = big.m - ( abs(big.r) + abs(big.r) * 1j )
|
|
vbwidth = abs(big.r)*2
|
|
width = 500 # Hardcoded!
|
|
|
|
# Line width independent of circle size
|
|
lw = (vbwidth/width)
|
|
|
|
svg.append('<svg xmlns="http://www.w3.org/2000/svg" width="%f" height="%f" viewBox="%f %f %f %f">\n' % (width, width, corner.real, corner.imag, vbwidth, vbwidth))
|
|
|
|
# Keep stroke width relative
|
|
svg.append('<g stroke-width="%f">\n' % lw)
|
|
|
|
# Iterate through circle list, circles with radius<radmin
|
|
# will not be saved because they are too small for printing.
|
|
radmin = tresh * abs(big.r)
|
|
print radmin
|
|
|
|
for c in circles:
|
|
if abs(c.r) > radmin:
|
|
fill = colors.color_for(abs(c.r))
|
|
svg.append(( '<circle cx="%f" cy="%f" r="%f" fill="%s" stroke="black"/>\n' % (c.m.real, c.m.imag, abs(c.r), fill)))
|
|
|
|
svg.append('</g>\n')
|
|
svg.append('</svg>\n')
|
|
|
|
return ''.join(svg)
|
|
|
|
def impossible_combination(c1, c2, c3):
|
|
# If any curvatures x, y, z satisfy the equation
|
|
# x = 2*sqrt(y*z) + y + z
|
|
# then no fourth enclosing circle can be genereated, because it
|
|
# would be a line.
|
|
# We need to see for c1, c2, c3 if they could be "x".
|
|
|
|
impossible = False
|
|
|
|
sets = [(c1,c2,c3), (c2,c3,c1), (c3,c1,c2)]
|
|
|
|
for (x, y, z) in sets:
|
|
if x == 2*math.sqrt(y*z) + y + z:
|
|
impossible = True
|
|
|
|
return impossible
|
|
|
|
def main(c1=3.,c2=2.,c3=2.,depth=5):
|
|
|
|
|
|
# Sanity checks
|
|
for c in [c1, c2,c3]:
|
|
if c == 0:
|
|
print("Error: curvature or radius can't be 0")
|
|
exit(1)
|
|
if impossible_combination(c1, c2, c3):
|
|
print("Error: no apollonian gasket possible for these curvatures")
|
|
exit(1)
|
|
|
|
|
|
ag = ApollonianGasket(c1, c2, c3)
|
|
|
|
ag.generate(depth)
|
|
|
|
# Get smallest and biggest radius
|
|
smallest = abs(min(ag.genCircles, key=lambda c: abs(c.r.real)).r.real)
|
|
biggest = abs(max(ag.genCircles, key=lambda c: abs(c.r.real)).r.real)
|
|
|
|
return ag.genCircles
|
|
|
|
|