1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
|
#!/usr/bin/env python
'''
Copyright (C) 2009 Michel Chatelain.
Copyright (C) 2007 Tavmjong Bah, tavmjong@free.fr
Copyright (C) 2006 Georg Wiora, xorx@quarkbox.de
Copyright (C) 2006 Johan Engelen, johan@shouraizou.nl
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
Changes:
* This program is derived by Michel Chatelain from funcplot.py. His changes are in the Public Domain.
* Michel Chatelain, 17-18 janvier 2009, a partir de funcplot.py
* 20 janvier 2009 : adaptation a la version 0.46 a partir de la nouvelle version de funcplot.py
'''
import inkex, simplepath, simplestyle
from math import *
from random import *
def drawfunction(t_start, t_end, xleft, xright, ybottom, ytop, samples, width, height, left, bottom,
fx = "cos(3*t)", fy = "sin(5*t)", times2pi = False, isoscale = True, drawaxis = True):
if times2pi == True:
t_start = 2 * pi * t_start
t_end = 2 * pi * t_end
# coords and scales based on the source rect
scalex = width / (xright - xleft)
xoff = left
coordx = lambda x: (x - xleft) * scalex + xoff #convert x-value to coordinate
scaley = height / (ytop - ybottom)
yoff = bottom
coordy = lambda y: (ybottom - y) * scaley + yoff #convert y-value to coordinate
# Check for isotropic scaling and use smaller of the two scales, correct ranges
if isoscale:
if scaley<scalex:
# compute zero location
xzero = coordx(0)
# set scale
scalex = scaley
# correct x-offset
xleft = (left-xzero)/scalex
xright = (left+width-xzero)/scalex
else :
# compute zero location
yzero = coordy(0)
# set scale
scaley = scalex
# correct x-offset
ybottom = (yzero-bottom)/scaley
ytop = (bottom+height-yzero)/scaley
# functions specified by the user
if fx != "":
f1 = eval('lambda t: ' + fx.strip('"'))
if fy != "":
f2 = eval('lambda t: ' + fy.strip('"'))
# step is increment of t
step = (t_end - t_start) / (samples-1)
third = step / 3.0
ds = step * 0.001 # Step used in calculating derivatives
a = [] # path array
# add axis
if drawaxis :
# check for visibility of x-axis
if ybottom<=0 and ytop>=0:
# xaxis
a.append(['M ',[left, coordy(0)]])
a.append([' l ',[width, 0]])
# check for visibility of y-axis
if xleft<=0 and xright>=0:
# xaxis
a.append([' M ',[coordx(0),bottom]])
a.append([' l ',[0, -height]])
# initialize functions and derivatives for 0;
# they are carried over from one iteration to the next, to avoid extra function calculations.
x0 = f1(t_start)
y0 = f2(t_start)
# numerical derivatives, using 0.001*step as the small differential
t1 = t_start + ds # Second point AFTER first point (Good for first point)
x1 = f1(t1)
y1 = f2(t1)
dx0 = (x1 - x0)/ds
dy0 = (y1 - y0)/ds
# Start curve
a.append([' M ',[coordx(x0), coordy(y0)]]) # initial moveto
for i in range(int(samples-1)):
t1 = (i+1) * step + t_start
t2 = t1 - ds # Second point BEFORE first point (Good for last point)
x1 = f1(t1)
x2 = f1(t2)
y1 = f2(t1)
y2 = f2(t2)
# numerical derivatives
dx1 = (x1 - x2)/ds
dy1 = (y1 - y2)/ds
# create curve
a.append([' C ',
[coordx(x0 + (dx0 * third)), coordy(y0 + (dy0 * third)),
coordx(x1 - (dx1 * third)), coordy(y1 - (dy1 * third)),
coordx(x1), coordy(y1)]
])
t0 = t1 # Next segment's start is this segments end
x0 = x1
y0 = y1
dx0 = dx1 # Assume the functions are smooth everywhere, so carry over the derivatives too
dy0 = dy1
return a
class ParamCurves(inkex.Effect):
def __init__(self):
inkex.Effect.__init__(self)
self.OptionParser.add_option("--t_start",
action="store", type="float",
dest="t_start", default=0.0,
help="Start t-value")
self.OptionParser.add_option("--t_end",
action="store", type="float",
dest="t_end", default=1.0,
help="End t-value")
self.OptionParser.add_option("--times2pi",
action="store", type="inkbool",
dest="times2pi", default=True,
help="Multiply t-range by 2*pi")
self.OptionParser.add_option("--xleft",
action="store", type="float",
dest="xleft", default=-1.0,
help="x-value of rectangle's left")
self.OptionParser.add_option("--xright",
action="store", type="float",
dest="xright", default=1.0,
help="x-value of rectangle's right")
self.OptionParser.add_option("--ybottom",
action="store", type="float",
dest="ybottom", default=-1.0,
help="y-value of rectangle's bottom")
self.OptionParser.add_option("--ytop",
action="store", type="float",
dest="ytop", default=1.0,
help="y-value of rectangle's top")
self.OptionParser.add_option("-s", "--samples",
action="store", type="int",
dest="samples", default=8,
help="Samples")
self.OptionParser.add_option("--fofx",
action="store", type="string",
dest="fofx", default="cos(3*t)",
help="fx(t) for plotting")
self.OptionParser.add_option("--fofy",
action="store", type="string",
dest="fofy", default="sin(5*t)",
help="fy(t) for plotting")
self.OptionParser.add_option("--remove",
action="store", type="inkbool",
dest="remove", default=True,
help="If True, source rectangle is removed")
self.OptionParser.add_option("--isoscale",
action="store", type="inkbool",
dest="isoscale", default=True,
help="If True, isotropic scaling is used")
self.OptionParser.add_option("--drawaxis",
action="store", type="inkbool",
dest="drawaxis", default=True,
help="If True, axis are drawn")
self.OptionParser.add_option("--tab",
action="store", type="string",
dest="tab", default="sampling",
help="The selected UI-tab when OK was pressed")
self.OptionParser.add_option("--paramcurvesuse",
action="store", type="string",
dest="paramcurvesuse", default="",
help="dummy")
self.OptionParser.add_option("--pythonfunctions",
action="store", type="string",
dest="pythonfunctions", default="",
help="dummy")
def effect(self):
for id, node in self.selected.iteritems():
if node.tag == inkex.addNS('rect','svg'):
# create new path with basic dimensions of selected rectangle
newpath = inkex.etree.Element(inkex.addNS('path','svg'))
x = float(node.get('x'))
y = float(node.get('y'))
w = float(node.get('width'))
h = float(node.get('height'))
#copy attributes of rect
s = node.get('style')
if s:
newpath.set('style', s)
t = node.get('transform')
if t:
newpath.set('transform', t)
# top and bottom were exchanged
newpath.set('d', simplepath.formatPath(
drawfunction(self.options.t_start,
self.options.t_end,
self.options.xleft,
self.options.xright,
self.options.ybottom,
self.options.ytop,
self.options.samples,
w,h,x,y+h,
self.options.fofx,
self.options.fofy,
self.options.times2pi,
self.options.isoscale,
self.options.drawaxis)))
newpath.set('title', self.options.fofx + " " + self.options.fofy)
#newpath.set('desc', '!func;' + self.options.fofx + ';' + self.options.fofy + ';'
# + `self.options.t_start` + ';'
# + `self.options.t_end` + ';'
# + `self.options.samples`)
# add path into SVG structure
node.getparent().append(newpath)
# option wether to remove the rectangle or not.
if self.options.remove:
node.getparent().remove(node)
if __name__ == '__main__':
e = ParamCurves()
e.affect()
# vim: expandtab shiftwidth=4 tabstop=8 softtabstop=4 fileencoding=utf-8 textwidth=99
|
