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interp.py
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2006-09-06
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#!/usr/bin/env python
'''
Copyright (C) 2005 Aaron Spike, aaron@ekips.org
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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
'''
import inkex, cubicsuperpath, simplestyle, copy, math, re, bezmisc
uuconv = {'in':90.0, 'pt':1.25, 'px':1, 'mm':3.5433070866, 'cm':35.433070866, 'pc':15.0}
def numsegs(csp):
return sum([len(p)-1 for p in csp])
def interpcoord(v1,v2,p):
return v1+((v2-v1)*p)
def interppoints(p1,p2,p):
return [interpcoord(p1[0],p2[0],p),interpcoord(p1[1],p2[1],p)]
def pointdistance((x1,y1),(x2,y2)):
return math.sqrt(((x2 - x1) ** 2) + ((y2 - y1) ** 2))
def bezlenapprx(sp1, sp2):
return pointdistance(sp1[1], sp1[2]) + pointdistance(sp1[2], sp2[0]) + pointdistance(sp2[0], sp2[1])
def tpoint((x1,y1), (x2,y2), t = 0.5):
return [x1+t*(x2-x1),y1+t*(y2-y1)]
def cspbezsplit(sp1, sp2, t = 0.5):
m1=tpoint(sp1[1],sp1[2],t)
m2=tpoint(sp1[2],sp2[0],t)
m3=tpoint(sp2[0],sp2[1],t)
m4=tpoint(m1,m2,t)
m5=tpoint(m2,m3,t)
m=tpoint(m4,m5,t)
return [[sp1[0][:],sp1[1][:],m1], [m4,m,m5], [m3,sp2[1][:],sp2[2][:]]]
def cspbezsplitatlength(sp1, sp2, l = 0.5, tolerance = 0.001):
bez = (sp1[1][:],sp1[2][:],sp2[0][:],sp2[1][:])
t = bezmisc.beziertatlength(bez, l, tolerance)
return cspbezsplit(sp1, sp2, t)
def cspseglength(sp1,sp2, tolerance = 0.001):
bez = (sp1[1][:],sp1[2][:],sp2[0][:],sp2[1][:])
return bezmisc.bezierlength(bez, tolerance)
def csplength(csp):
total = 0
lengths = []
for sp in csp:
lengths.append([])
for i in xrange(1,len(sp)):
l = cspseglength(sp[i-1],sp[i])
lengths[-1].append(l)
total += l
return lengths, total
def styleunittouu(string):
unit = re.compile('(%s)$' % '|'.join(uuconv.keys()))
param = re.compile(r'(([-+]?[0-9]+(\.[0-9]*)?|[-+]?\.[0-9]+)([eE][-+]?[0-9]+)?)')
p = param.match(string)
u = unit.search(string)
if p:
retval = float(p.string[p.start():p.end()])
else:
retval = 0.0
if u:
try:
return retval * uuconv[u.string[u.start():u.end()]]
except KeyError:
pass
return retval
def tweenstylefloat(property, start, end, time):
sp = float(start[property])
ep = float(end[property])
return str(sp + (time * (ep - sp)))
def tweenstyleunit(property, start, end, time):
sp = styleunittouu(start[property])
ep = styleunittouu(end[property])
return str(sp + (time * (ep - sp)))
def tweenstylecolor(property, start, end, time):
sr,sg,sb = parsecolor(start[property])
er,eg,eb = parsecolor(end[property])
return '#%s%s%s' % (tweenhex(time,sr,er),tweenhex(time,sg,eg),tweenhex(time,sb,eb))
def tweenhex(time,s,e):
s = float(int(s,16))
e = float(int(e,16))
retval = hex(int(math.floor(s + (time * (e - s)))))[2:]
if len(retval)==1:
retval = '0%s' % retval
return retval
def parsecolor(c):
r,g,b = '0','0','0'
if c[:1]=='#':
if len(c)==4:
r,g,b = c[1:2],c[2:3],c[3:4]
elif len(c)==7:
r,g,b = c[1:3],c[3:5],c[5:7]
return r,g,b
class Interp(inkex.Effect):
def __init__(self):
inkex.Effect.__init__(self)
self.OptionParser.add_option("-e", "--exponent",
action="store", type="float",
dest="exponent", default=0.0,
help="values other than zero give non linear interpolation")
self.OptionParser.add_option("-s", "--steps",
action="store", type="int",
dest="steps", default=5,
help="number of interpolation steps")
self.OptionParser.add_option("-m", "--method",
action="store", type="int",
dest="method", default=2,
help="method of interpolation")
self.OptionParser.add_option("-d", "--dup",
action="store", type="inkbool",
dest="dup", default=True,
help="duplicate endpaths")
self.OptionParser.add_option("--style",
action="store", type="inkbool",
dest="style", default=True,
help="try interpolation of some style properties")
def effect(self):
exponent = self.options.exponent
if exponent>= 0:
exponent = 1.0 + exponent
else:
exponent = 1.0/(1.0 - exponent)
steps = [1.0/(self.options.steps + 1.0)]
for i in range(self.options.steps - 1):
steps.append(steps[0] + steps[-1])
steps = [step**exponent for step in steps]
paths = {}
styles = {}
for id in self.options.ids:
node = self.selected[id]
if node.tagName =='path':
paths[id] = cubicsuperpath.parsePath(node.attributes.getNamedItem('d').value)
styles[id] = simplestyle.parseStyle(node.attributes.getNamedItem('style').value)
else:
self.options.ids.remove(id)
for i in range(1,len(self.options.ids)):
start = copy.deepcopy(paths[self.options.ids[i-1]])
end = copy.deepcopy(paths[self.options.ids[i]])
sst = copy.deepcopy(styles[self.options.ids[i-1]])
est = copy.deepcopy(styles[self.options.ids[i]])
basestyle = copy.deepcopy(sst)
#prepare for experimental style tweening
if self.options.style:
dostroke = True
dofill = True
styledefaults = {'opacity':'1.0', 'stroke-opacity':'1.0', 'fill-opacity':'1.0',
'stroke-width':'1.0', 'stroke':'none', 'fill':'none'}
for key in styledefaults.keys():
sst.setdefault(key,styledefaults[key])
est.setdefault(key,styledefaults[key])
isnotplain = lambda x: not (x=='none' or x[:1]=='#')
if isnotplain(sst['stroke']) or isnotplain(est['stroke']) or (sst['stroke']=='none' and est['stroke']=='none'):
dostroke = False
if isnotplain(sst['fill']) or isnotplain(est['fill']) or (sst['fill']=='none' and est['fill']=='none'):
dofill = False
if dostroke:
if sst['stroke']=='none':
sst['stroke-width'] = '0.0'
sst['stroke-opacity'] = '0.0'
sst['stroke'] = est['stroke']
elif est['stroke']=='none':
est['stroke-width'] = '0.0'
est['stroke-opacity'] = '0.0'
est['stroke'] = sst['stroke']
if dofill:
if sst['fill']=='none':
sst['fill-opacity'] = '0.0'
sst['fill'] = est['fill']
elif est['fill']=='none':
est['fill-opacity'] = '0.0'
est['fill'] = sst['fill']
if self.options.method == 2:
#subdivide both paths into segments of relatively equal lengths
slengths, stotal = csplength(start)
elengths, etotal = csplength(end)
lengths = {}
t = 0
for sp in slengths:
for l in sp:
t += l / stotal
lengths.setdefault(t,0)
lengths[t] += 1
t = 0
for sp in elengths:
for l in sp:
t += l / etotal
lengths.setdefault(t,0)
lengths[t] += -1
sadd = [k for (k,v) in lengths.iteritems() if v < 0]
sadd.sort()
eadd = [k for (k,v) in lengths.iteritems() if v > 0]
eadd.sort()
t = 0
s = [[]]
for sp in slengths:
if not start[0]:
s.append(start.pop(0))
s[-1].append(start[0].pop(0))
for l in sp:
pt = t
t += l / stotal
if sadd and t > sadd[0]:
while sadd and sadd[0] < t:
nt = (sadd[0] - pt) / (t - pt)
bezes = cspbezsplitatlength(s[-1][-1][:],start[0][0][:], nt)
s[-1][-1:] = bezes[:2]
start[0][0] = bezes[2]
pt = sadd.pop(0)
s[-1].append(start[0].pop(0))
t = 0
e = [[]]
for sp in elengths:
if not end[0]:
e.append(end.pop(0))
e[-1].append(end[0].pop(0))
for l in sp:
pt = t
t += l / etotal
if eadd and t > eadd[0]:
while eadd and eadd[0] < t:
nt = (eadd[0] - pt) / (t - pt)
bezes = cspbezsplitatlength(e[-1][-1][:],end[0][0][:], nt)
e[-1][-1:] = bezes[:2]
end[0][0] = bezes[2]
pt = eadd.pop(0)
e[-1].append(end[0].pop(0))
start = s[:]
end = e[:]
else:
#which path has fewer segments?
lengthdiff = numsegs(start) - numsegs(end)
#swap shortest first
if lengthdiff > 0:
start, end = end, start
#subdivide the shorter path
for x in range(abs(lengthdiff)):
maxlen = 0
subpath = 0
segment = 0
for y in range(len(start)):
for z in range(1, len(start[y])):
leng = bezlenapprx(start[y][z-1], start[y][z])
if leng > maxlen:
maxlen = leng
subpath = y
segment = z
sp1, sp2 = start[subpath][segment - 1:segment + 1]
start[subpath][segment - 1:segment + 1] = cspbezsplit(sp1, sp2)
#if swapped, swap them back
if lengthdiff > 0:
start, end = end, start
#break paths so that corresponding subpaths have an equal number of segments
s = [[]]
e = [[]]
while start and end:
if start[0] and end[0]:
s[-1].append(start[0].pop(0))
e[-1].append(end[0].pop(0))
elif end[0]:
s.append(start.pop(0))
e[-1].append(end[0][0])
e.append([end[0].pop(0)])
elif start[0]:
e.append(end.pop(0))
s[-1].append(start[0][0])
s.append([start[0].pop(0)])
else:
s.append(start.pop(0))
e.append(end.pop(0))
if self.options.dup:
steps = [0] + steps + [1]
#create an interpolated path for each interval
group = self.document.createElement('svg:g')
self.current_layer.appendChild(group)
for time in steps:
interp = []
#process subpaths
for ssp,esp in zip(s, e):
if not (ssp or esp):
break
interp.append([])
#process superpoints
for sp,ep in zip(ssp, esp):
if not (sp or ep):
break
interp[-1].append([])
#process points
for p1,p2 in zip(sp, ep):
if not (sp or ep):
break
interp[-1][-1].append(interppoints(p1, p2, time))
#remove final subpath if empty.
if not interp[-1]:
del interp[-1]
new = self.document.createElement('svg:path')
#basic style tweening
if self.options.style:
basestyle['opacity'] = tweenstylefloat('opacity',sst,est,time)
if dostroke:
basestyle['stroke-opacity'] = tweenstylefloat('stroke-opacity',sst,est,time)
basestyle['stroke-width'] = tweenstyleunit('stroke-width',sst,est,time)
basestyle['stroke'] = tweenstylecolor('stroke',sst,est,time)
if dofill:
basestyle['fill-opacity'] = tweenstylefloat('fill-opacity',sst,est,time)
basestyle['fill'] = tweenstylecolor('fill',sst,est,time)
new.setAttribute('style', simplestyle.formatStyle(basestyle))
new.setAttribute('d', cubicsuperpath.formatPath(interp))
group.appendChild(new)
e = Interp()
e.affect()