2020-08-02 01:31:16 +02:00
|
|
|
#!/usr/bin/env python3
|
|
|
|
|
|
|
|
import inkex
|
|
|
|
from lxml import etree
|
|
|
|
from math import cos, sin, pi, exp
|
|
|
|
__version__ = '0.1'
|
|
|
|
|
|
|
|
def line(npts=40, x0=0, y0=0, delta=.5, sgn=1):
|
|
|
|
#returns a list of points on a line (y = +/- x + c) starting at x0,y0
|
|
|
|
return [ (x0 + delta*t, y0 + sgn*delta*t) for t in range(npts)]
|
|
|
|
|
|
|
|
def ff(v, ww=.25, ds=.4):
|
|
|
|
#covering map from R^2 ro punctured plane
|
|
|
|
x,y = v
|
|
|
|
r,u = exp(-ds*x), cos(pi*ww*y) + 1J*sin(pi*ww*y)
|
|
|
|
return r*u
|
|
|
|
|
|
|
|
def mk_plugs(pts):
|
|
|
|
#returns a list of complex representing a plug type segment
|
|
|
|
segs = [fit_plug(end_pts) for end_pts in zip(pts,pts[1:]) ]
|
|
|
|
tmp = []
|
|
|
|
for seg in segs:
|
|
|
|
tmp.extend(seg)
|
|
|
|
return tmp
|
|
|
|
|
|
|
|
def fit_plug(ss):
|
|
|
|
a,b = ss
|
|
|
|
rot = complex(b-a)
|
|
|
|
pts = [0,.45,.4 + .15*1J, .6 + .15*1J, .55, 1]
|
|
|
|
return [rot*z + a for z in pts]
|
|
|
|
|
|
|
|
def pts2curve(cplxs):
|
|
|
|
'''makes a polyline path element from a list of complex
|
|
|
|
'''
|
|
|
|
def cplx2pt(z):
|
|
|
|
return (z.real,z.imag)
|
|
|
|
|
|
|
|
scale = 200
|
|
|
|
data = [cplx2pt( scale*z ) for z in cplxs ]
|
|
|
|
pth = [ '%.2f, %.2f '%z for z in data]
|
|
|
|
return 'M '+ ''.join(pth)
|
|
|
|
|
2021-04-04 01:51:59 +02:00
|
|
|
class AffineSpirals(inkex.EffectExtension):
|
2020-08-02 01:31:16 +02:00
|
|
|
|
|
|
|
def __init__(self):
|
|
|
|
inkex.Effect.__init__(self)
|
|
|
|
self.arg_parser.add_argument("--num_lines", type=int, default=3)
|
|
|
|
self.arg_parser.add_argument("--num_petals", type=int, default=3)
|
|
|
|
self.arg_parser.add_argument("--shrink_ratio", type=float, default=3)
|
|
|
|
#self.arg_parser.add_argument("--mk_filled", type=inkex.Boolean, default=False)
|
|
|
|
self.arg_parser.add_argument("--mk_full", type=inkex.Boolean, default=False)
|
|
|
|
self.arg_parser.add_argument("--active-tab", default='title')
|
|
|
|
|
|
|
|
def calc_unit_factor(self):
|
|
|
|
unit_factor = self.svg.unittouu(str(1.0) + self.options.units)
|
|
|
|
return unit_factor
|
|
|
|
|
|
|
|
def effect(self):
|
|
|
|
path_stroke = '#DD0000' # take color from tab3
|
|
|
|
path_fill = 'none' # no fill - just a line
|
|
|
|
path_stroke_width = 1. # can also be in form '0.6mm'
|
|
|
|
page_id = self.options.active_tab # sometimes wrong the very first time
|
|
|
|
|
|
|
|
styles = [ {'stroke': path_stroke , 'fill': 'none', 'stroke-width': path_stroke_width},
|
|
|
|
{'stroke': 'none', 'fill': '#FFFF00', 'stroke-width': 0}]
|
|
|
|
|
|
|
|
styles = [str(inkex.Style(x)) for x in styles]
|
|
|
|
|
|
|
|
# This finds center of current view in inkscape
|
|
|
|
t = 'translate(%s,%s)' % (self.svg.namedview.center[0], self.svg.namedview.center[1])
|
|
|
|
|
|
|
|
# Make a nice useful name
|
|
|
|
g_attribs = {inkex.addNS('label','inkscape'): 'koch',
|
|
|
|
inkex.addNS('transform-center-x','inkscape'): str(0),
|
|
|
|
inkex.addNS('transform-center-y','inkscape'): str(0),
|
|
|
|
'transform': t,
|
|
|
|
'style' : styles[1],
|
|
|
|
'info':'N: '+str(self.options.num_lines) }
|
|
|
|
topgroup = etree.SubElement(self.svg.get_current_layer(), 'g', g_attribs)
|
|
|
|
|
|
|
|
NN = 2*self.options.num_lines
|
|
|
|
NP = self.options.num_petals
|
|
|
|
SF = 2*self.options.shrink_ratio
|
|
|
|
|
|
|
|
payload = []
|
|
|
|
for y in range(-NP,NP):
|
|
|
|
mpts = [ff(z,ww=1./NP, ds=SF) for z in line(npts=NN, y0=y)]
|
|
|
|
payload.append(mk_plugs(mpts))
|
|
|
|
mpts = [ff(z,ww=1./NP, ds=SF) for z in line(npts=NN, y0=y,sgn=-1 )]
|
|
|
|
payload.append(mk_plugs(mpts))
|
|
|
|
|
|
|
|
payload = [pts2curve(cc) for cc in payload]
|
|
|
|
payload = ' '.join(payload)
|
|
|
|
|
|
|
|
curve_attribs = { 'style': styles[0], 'd': payload}
|
|
|
|
etree.SubElement(topgroup, inkex.addNS('path','svg'), curve_attribs)
|
|
|
|
|
2020-08-31 21:25:41 +02:00
|
|
|
if __name__ == '__main__':
|
2021-04-04 01:51:59 +02:00
|
|
|
AffineSpirals().run()
|