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
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
|
# -*- coding: utf-8 -*-
# -----------------------------------------------------------------------------
# Copyright (c) 2014, Nicolas P. Rougier
# Distributed under the (new) BSD License. See LICENSE.txt for more info.
# -----------------------------------------------------------------------------
import re
import math
import numpy as np
from . import geometry
from . geometry import epsilon
from . transformable import Transformable
# ----------------------------------------------------------------- Command ---
class Command(object):
def __repr__(self):
s = '%s ' % self._command
for arg in self._args:
s += "%.2f " % arg
return s
def origin(self, current=None, previous=None):
relative = self._command in "mlvhcsqtaz"
if relative and current:
return current
else:
return 0.0, 0.0
# -------------------------------------------------------------------- Line ---
class Line(Command):
def __init__(self, x=0, y=0, relative=True):
self._command = 'l' if relative else 'L'
self._args = [x, y]
def vertices(self, current, previous=None):
ox, oy = self.origin(current)
x, y = self._args
self.previous = x, y
return (ox + x, oy + y),
# ------------------------------------------------------------------- VLine ---
class VLine(Command):
def __init__(self, y=0, relative=True):
self._command = 'v' if relative else 'V'
self._args = [y]
def vertices(self, current, previous=None):
ox, oy = self.origin(current)
y = self._args[0]
self.previous = ox, oy + y
return (ox, oy + y),
# ------------------------------------------------------------------- HLine ---
class HLine(Command):
def __init__(self, x=0, relative=True):
self._command = 'h' if relative else 'H'
self._args = [x]
def vertices(self, current, previous=None):
ox, oy = self.origin(current)
x = self._args[0]
self.previous = ox + x, oy
return (ox + x, oy),
# -------------------------------------------------------------------- Move ---
class Move(Command):
def __init__(self, x=0, y=0, relative=True):
self._command = 'm' if relative else 'M'
self._args = [x, y]
def vertices(self, current, previous=None):
ox, oy = self.origin(current)
x, y = self._args
x, y = x + ox, y + oy
self.previous = x, y
return (x, y),
# ------------------------------------------------------------------- Close ---
class Close(Command):
def __init__(self, relative=True):
self._command = 'z' if relative else 'Z'
self._args = []
def vertices(self, current, previous=None):
self.previous = current
return []
# --------------------------------------------------------------------- Arc ---
class Arc(Command):
def __init__(self, r1=1, r2=1, angle=2 * math.pi, large=True, sweep=True,
x=0, y=0, relative=True):
self._command = 'a' if relative else 'A'
self._args = [r1, r2, angle, large, sweep, x, y]
def vertices(self, current, previous=None):
ox, oy = self.origin(current)
rx, ry, angle, large, sweep, x, y = self._args
x, y = x + ox, y + oy
x0, y0 = current
self.previous = x, y
vertices = geometry.elliptical_arc(
x0, y0, rx, ry, angle, large, sweep, x, y)
return vertices[1:]
# ------------------------------------------------------------------- Cubic ---
class Cubic(Command):
def __init__(self, x1=0, y1=0, x2=0, y2=0, x3=0, y3=0, relative=True):
self._command = 'c' if relative else 'C'
self._args = [x1, y1, x2, y2, x3, y3]
def vertices(self, current, previous=None):
ox, oy = self.origin(current)
x0, y0 = current
x1, y1, x2, y2, x3, y3 = self._args
x1, y1 = x1 + ox, y1 + oy
x2, y2 = x2 + ox, y2 + oy
x3, y3 = x3 + ox, y3 + oy
self.previous = x2, y2
vertices = geometry.cubic((x0, y0), (x1, y1), (x2, y2), (x3, y3))
return vertices[1:]
# --------------------------------------------------------------- Quadratic ---
class Quadratic(Command):
def __init__(self, x1=0, y1=0, x2=0, y2=0, relative=True):
self._command = 'q' if relative else 'Q'
self._args = [x1, y1, x2, y2]
def vertices(self, current, last_control_point=None):
ox, oy = self.origin(current)
x1, y1, x2, y2 = self._args
x0, y0 = current
x1, y1 = x1 + ox, y1 + oy
x2, y2 = x2 + ox, y2 + oy
self.previous = x1, y1
vertices = geometry.quadratic((x0, y0), (x1, y1), (x2, y2))
return vertices[1:]
# ------------------------------------------------------------- SmoothCubic ---
class SmoothCubic(Command):
def __init__(self, x2=0, y2=0, x3=0, y3=0, relative=True):
self._command = 's' if relative else 'S'
self._args = [x2, y2, x3, y3]
def vertices(self, current, previous):
ox, oy = self.origin(current)
x0, y0 = current
x2, y2, x3, y3 = self._args
x2, y2 = x2 + ox, y2 + oy
x3, y3 = x3 + ox, y3 + oy
x1, y1 = 2 * x0 - previous[0], 2 * y0 - previous[1]
self.previous = x2, y2
vertices = geometry.cubic((x0, y0), (x1, y1), (x2, y2), (x3, y3))
return vertices[1:]
# --------------------------------------------------------- SmoothQuadratic ---
class SmoothQuadratic(Command):
def __init__(self, x2=0, y2=0, relative=True):
self._command = 't' if relative else 'T'
self._args = [x2, y2]
def vertices(self, current, previous):
ox, oy = self.origin(current)
x2, y2 = self._args
x0, y0 = current
x1, y1 = 2 * x0 - previous[0], 2 * y0 - previous[1]
x2, y2 = x2 + ox, y2 + oy
self.previous = x1, y1
vertices = geometry.quadratic((x0, y0), (x1, y1), (x2, y2))
return vertices[1:]
# -------------------------------------------------------------------- Path ---
class Path(Transformable):
def __init__(self, content=None, parent=None):
Transformable.__init__(self, content, parent)
self._paths = []
if not isinstance(content, str):
content = content.get("d", "")
commands = re.compile(
r"(?P<command>[MLVHCSQTAZmlvhcsqtaz])"
r"(?P<points>[+\-0-9.e, \n\t]*)")
path = []
for match in re.finditer(commands, content):
command = match.group("command")
points = match.group("points").replace(',', ' ')
points = [float(v) for v in points.split()]
relative = command in "mlvhcsqtaz"
command = command.upper()
while len(points) or command == 'Z':
if command == 'M':
if len(path):
self._paths.append(path)
path = []
path.append(Move(*points[:2], relative=relative))
points = points[2:]
elif command == 'L':
path.append(Line(*points[:2], relative=relative))
points = points[2:]
elif command == 'V':
path.append(VLine(*points[:1], relative=relative))
points = points[1:]
elif command == 'H':
path.append(HLine(*points[:1], relative=relative))
points = points[1:]
elif command == 'C':
path.append(Cubic(*points[:6], relative=relative))
points = points[6:]
elif command == 'S':
path.append(SmoothCubic(*points[:4], relative=relative))
points = points[4:]
elif command == 'Q':
path.append(Quadratic(*points[:4], relative=relative))
points = points[4:]
elif command == 'T':
path.append(
SmoothQuadratic(*points[2:], relative=relative))
points = points[2:]
elif command == 'A':
path.append(Arc(*points[:7], relative=relative))
points = points[7:]
elif command == 'Z':
path.append(Close(relative=relative))
self._paths.append(path)
path = []
break
else:
raise RuntimeError(
"Unknown SVG path command(%s)" % command)
if len(path):
self._paths.append(path)
def __repr__(self):
s = ""
for path in self._paths:
for item in path:
s += repr(item)
return s
@property
def xml(self):
return self._xml()
def _xml(self, prefix=""):
s = prefix + "<path "
s += 'id="%s" ' % self._id
s += self._style.xml
s += '\n'
t = ' ' + prefix + ' d="'
s += t
prefix = ' ' * len(t)
first = True
for i, path in enumerate(self._paths):
for j, item in enumerate(path):
if first:
s += repr(item)
first = False
else:
s += prefix + repr(item)
if i < len(self._paths) - 1 or j < len(path) - 1:
s += '\n'
s += '"/>\n'
return s
@property
def vertices(self):
self._vertices = []
current = 0, 0
previous = 0, 0
for path in self._paths:
vertices = []
for command in path:
V = command.vertices(current, previous)
previous = command.previous
vertices.extend(V)
if len(V) > 0:
current = V[-1]
else:
current = 0, 0
closed = False
if isinstance(command, Close):
closed = True
if len(vertices) > 2:
d = geometry.calc_sq_distance(vertices[-1][0], vertices[-1][1], # noqa
vertices[0][0], vertices[0][1]) # noqa
if d < epsilon:
vertices = vertices[:-1]
# Apply transformation
V = np.ones((len(vertices), 3))
V[:, :2] = vertices
V = np.dot(V, self.transform.matrix.T)
V[:, 2] = 0
self._vertices.append((V, closed))
return self._vertices
|
