perspective.py revision b537f26600e0f7924eb1088903cca14402da987d
#!/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
Perspective approach & math by Dmitry Platonov, shadowjack@mail.ru, 2006
"""
import sys, inkex, os, re, simplepath, cubicsuperpath
from ffgeom import *
from numpy import *
from numpy.linalg import *
uuconv = {'in':90.0, 'pt':1.25, 'px':1, 'mm':3.5433070866, 'cm':35.433070866, 'pc':15.0}
def unittouu(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
class Project(inkex.Effect):
def __init__(self):
inkex.Effect.__init__(self)
def effect(self):
if len(self.options.ids) < 2:
inkex.debug("Requires two selected paths. The second must be exctly four nodes long.")
exit()
#obj is selected second
obj = self.selected[self.options.ids[0]]
envelope = self.selected[self.options.ids[1]]
if (obj.tagName == 'path' or obj.tagName == 'g') and envelope.tagName == 'path':
path = cubicsuperpath.parsePath(envelope.attributes.getNamedItem('d').value)
dp = zeros((4,2), dtype=float64)
for i in range(4):
dp[i][0] = path[0][i][1][0]
dp[i][1] = path[0][i][1][1]
#query inkscape about the bounding box of obj
q = {'x':0,'y':0,'width':0,'height':0}
file = self.args[-1]
id = self.options.ids[0]
for query in q.keys():
f = os.popen("inkscape --query-%s --query-id=%s %s" % (query,id,file))
q[query] = float(f.read())
f.close()
sp = array([[q['x'], q['y']+q['height']],[q['x'], q['y']],[q['x']+q['width'], q['y']],[q['x']+q['width'], q['y']+q['height']]], dtype=float64)
solmatrix = zeros((8,8), dtype=float64)
free_term = zeros((8), dtype=float64)
for i in (0,1,2,3):
solmatrix[i][0] = sp[i][0]
solmatrix[i][1] = sp[i][1]
solmatrix[i][2] = 1
solmatrix[i][6] = -dp[i][0]*sp[i][0]
solmatrix[i][7] = -dp[i][0]*sp[i][1]
solmatrix[i+4][3] = sp[i][0]
solmatrix[i+4][4] = sp[i][1]
solmatrix[i+4][5] = 1
solmatrix[i+4][6] = -dp[i][1]*sp[i][0]
solmatrix[i+4][7] = -dp[i][1]*sp[i][1]
free_term[i] = dp[i][0]
free_term[i+4] = dp[i][1]
res = solve(solmatrix, free_term)
projmatrix = array([[res[0],res[1],res[2]],[res[3],res[4],res[5]],[res[6],res[7],1.0]],dtype=float64)
if obj.tagName == "path":
self.process_path(obj,projmatrix)
if obj.tagName == "g":
self.process_group(obj,projmatrix)
def process_group(self,group,m):
for node in group.childNodes:
if node.nodeType==node.ELEMENT_NODE:
if node.tagName == 'path':
self.process_path(node,m)
if node.tagName == 'g':
self.process_group(node,m)
def process_path(self,path,m):
d = path.attributes.getNamedItem('d')
p = cubicsuperpath.parsePath(d.value)
for subs in p:
for csp in subs:
csp[0] = self.project_point(csp[0],m)
csp[1] = self.project_point(csp[1],m)
csp[2] = self.project_point(csp[2],m)
d.value = cubicsuperpath.formatPath(p)
def project_point(self,p,m):
x = p[0]
y = p[1]
return [(x*m[0][0] + y*m[0][1] + m[0][2])/(x*m[2][0]+y*m[2][1]+m[2][2]),(x*m[1][0] + y*m[1][1] + m[1][2])/(x*m[2][0]+y*m[2][1]+m[2][2])]
e = Project()
e.affect()