Newer
Older
####################################################################################################
#
# Patro - A Python library to make patterns for fashion design
# Copyright (C) 2019 Fabrice Salvaire
#
# 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 3 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, see <http://www.gnu.org/licenses/>.
#
####################################################################################################
####################################################################################################
__all__ = [
'LinearSegment',
'QuadraticBezierSegment',
'CubicBezierSegment',
'Path2D',
]
####################################################################################################
from .Primitive import Primitive1P, Primitive2DMixin
from .Bezier import QuadraticBezier2D, CubicBezier2D
from .Conic import Circle2D, AngularDomain
from .Segment import Segment2D
from .Vector import Vector2D
####################################################################################################
class PathPart:
##############################################
def __init__(self, path, position):
self._path = path
self._position = position
##############################################
Fabrice Salvaire
committed
def clone(self, path):
raise NotImplementedError
##############################################
def __repr__(self):
return self.__class__.__name__
##############################################
@property
def path(self):
return self._path
@property
def position(self):
return self._position
@position.setter
def position(self, value):
self._position = int(value)
##############################################
@property
def prev_part(self):
return self._path[self._position -1]
@property
def next_part(self):
return self._path[self._position +1]
##############################################
@property
def start_point(self):
Fabrice Salvaire
committed
# Fixme: cache ???
prev_part = self.prev_part
if prev_part is not None:
return prev_part.stop_point
else:
return self._path.p0
##############################################
@property
def stop_point(self):
raise NotImplementedError
@property
def geometry(self):
raise NotImplementedError
##############################################
@property
def bounding_box(self):
return self.geometry.bounding_box
####################################################################################################
class LinearSegment(PathPart):
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
r"""
Bulge
Let `P0`, `P1`, `P2` the vertices and `R` the bulge radius.
The deflection :math:`\theta = 2 \alpha` at the corner is
.. math::
D_1 \cdot D_0 = (P_2 - P_1) \cdot (P_1 - P_0) = \cos \theta
The bisector direction is
.. math::
Bis = D_1 - D_0 = (P_2 - P_1) - (P_1 - P_0) = P_2 -2 P_1 + P_0
Bulge Center is
.. math::
C = P_1 + Bis \times \frac{R}{\sin \alpha}
Extremities are
\prime P_1 = P_1 - d_0 \times \frac{R}{\tan \alpha}
\prime P_1 = P_1 + d_1 \times \frac{R}{\tan \alpha}
"""
# Fixme:
#
# If two successive vertices share the same circle, then it should be merged to one.
#
##############################################
def __init__(self, path, position, radius):
super().__init__(path, position)
self._bissector = None
self._direction = None
self.radius = radius
if self._radius is not None:
if not isinstance(self.prev_part, LinearSegment):
raise ValueError('Previous path segment must be linear')
Fabrice Salvaire
committed
self._reset_cache()
##############################################
def _reset_cache(self):
self._bulge_angle = None
self._bulge_center = None
self._start_bulge_point = None
self._stop_bulge_point = None
##############################################
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
if self._radius is not None:
start_point = self.bulge_stop_point
else:
start_point = self.start_point
next_part = self.next_part
if isinstance(next_part, LinearSegment) and next_part.radius is not None:
stop_point = next_part.bulge_start_point
else:
stop_point = self.stop_point
return start_point, stop_point
##############################################
@property
def radius(self):
return self._radius
@radius.setter
def radius(self, value):
if value is not None:
self._radius = float(value)
else:
self._radius = None
##############################################
@property
def direction(self):
if self._direction is None:
self._direction = (self.stop_point - self.start_point).normalise()
return self._direction
@property
def bissector(self):
if self._radius is None:
return None
else:
if self._bissector is None:
# self._bissector = (self.prev_part.direction + self.direction).normalise().normal
self._bissector = (self.direction - self.prev_part.direction).normalise()
return self._bissector
##############################################
@property
def bulge_angle_rad(self):
if self._bulge_angle is None:
angle = self.direction.orientation_with(self.prev_part.direction)
self._bulge_angle = math.radians(angle)
return self._bulge_angle
@property
def bulge_angle(self):
return math.degrees(self.bulge_angle_rad)
@property
def half_bulge_angle(self):
return abs(self.bulge_angle_rad / 2)
##############################################
@property
def bulge_center(self):
if self._bulge_center is None:
offset = self.bissector * self._radius / math.sin(self.half_bulge_angle)
self._bulge_center = self.start_point + offset
return self._bulge_center
##############################################
@property
def bulge_start_point(self):
if self._start_bulge_point is None:
offset = self.prev_part.direction * self._radius / math.tan(self.half_bulge_angle)
self._start_bulge_point = self.start_point - offset
return self._start_bulge_point
@property
def bulge_stop_point(self):
if self._stop_bulge_point is None:
offset = self.direction * self._radius / math.tan(self.half_bulge_angle)
self._stop_bulge_point = self.start_point + offset
return self._stop_bulge_point
##############################################
@property
def bulge_geometry(self):
# Fixme: check start and stop are within segment
arc = Circle2D(self.bulge_center, self._radius)
start_angle, stop_angle = [arc.angle_for_point(point)
for point in (self.bulge_start_point, self.bulge_stop_point)]
if self.bulge_angle < 0:
start_angle, stop_angle = stop_angle, start_angle
arc.domain = AngularDomain(start_angle, stop_angle)
return arc
####################################################################################################
class PathSegment(LinearSegment):
##############################################
def __init__(self, path, position, point, radius=None, absolute=False):
super().__init__(path, position, radius)
self._absolute = bool(absolute)
##############################################
Fabrice Salvaire
committed
def clone(self, path):
return self.__class__(path, self._position, self._point, self._radius, self._absolute)
##############################################
def apply_transformation(self, transformation):
Fabrice Salvaire
committed
self._point = transformation * self._point
if self._radius is not None:
self._radius = transformation * self._radius
##############################################
@property
def point(self):
return self._point
@point.setter
def point(self, value):
self._point = Vector2D(value) # self._path.__vector_cls__
##############################################
@property
def stop_point(self):
if self._absolute:
return self._point
else:
return self._point + self.start_point
##############################################
@property
def geometry(self):
# Fixme: cache ???
return Segment2D(*self.points)
####################################################################################################
class DirectionalSegment(LinearSegment):
__angle__ = None
##############################################
def __init__(self, path, position, length, radius=None):
super().__init__(path, position, radius)
self.length = length
##############################################
def apply_transformation(self, transformation):
Fabrice Salvaire
committed
# Since a rotation will change the direction
# DirectionalSegment must be casted to PathSegment
raise NotImplementedError
##############################################
def clone(self, path):
return self.__class__(path, self._position, self._length, self._radius)
##############################################
@property
def length(self):
return self._length
@length.setter
def length(self, value):
self._length = float(value)
##############################################
Fabrice Salvaire
committed
@property
def offset(self):
# Fixme: cache ???
return Vector2D.from_polar(self._length, self.__angle__)
@property
def stop_point(self):
# Fixme: cache ???
Fabrice Salvaire
committed
return self.start_point + self.offset
##############################################
@property
def geometry(self):
# Fixme: cache ???
return Segment2D(self.start_point, self.stop_point)
Fabrice Salvaire
committed
##############################################
def to_path_segment(self):
return PathSegment(self._path, self._position, self.offset, self._radius, absolute=False)
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
####################################################################################################
class HorizontalSegment(DirectionalSegment):
__angle__ = 0
class VerticalSegment(DirectionalSegment):
__angle__ = 90
class NorthSegment(DirectionalSegment):
__angle__ = 90
class SouthSegment(DirectionalSegment):
__angle__ = -90
class EastSegment(DirectionalSegment):
__angle__ = 0
class WestSegment(DirectionalSegment):
__angle__ = 180
class NorthEastSegment(DirectionalSegment):
__angle__ = 45
class NorthWestSegment(DirectionalSegment):
__angle__ = 180 - 45
class SouthEastSegment(DirectionalSegment):
__angle__ = -45
class SouthWestSegment(DirectionalSegment):
__angle__ = -180 + 45
####################################################################################################
class TwoPointsMixin:
@property
def point1(self):
return self._point1
@point1.setter
def point1(self, value):
self._point1 = Vector2D(value) # self._path.__vector_cls__
@property
def point2(self):
return self._point2
@point2.setter
def point2(self, value):
self._point2 = Vector2D(value)
Fabrice Salvaire
committed
##############################################
def apply_transformation(self, transformation):
Fabrice Salvaire
committed
self._point1 = transformation * self._point1
self._point2 = transformation * self._point2
####################################################################################################
class QuadraticBezierSegment(PathPart, TwoPointsMixin):
# Fixme: abs / inc
##############################################
def __init__(self, path, position, point1, point2):
PathPart.__init__(self, path, position)
self.point1 = point1
self.point2 = point2
##############################################
Fabrice Salvaire
committed
def clone(self, path):
return self.__class__(path, self._position, self._point1, self._point2)
##############################################
@property
def stop_point(self):
return self._point2
@property
def points(self):
return (self.start_point, self._point1, self._point2)
##############################################
@property
def geometry(self):
# Fixme: cache ???
return QuadraticBezier2D(self.start_point, self._point1, self._point2)
####################################################################################################
class CubicBezierSegment(PathPart, TwoPointsMixin):
##############################################
def __init__(self, path, position, point1, point2, point3):
PathPart.__init__(self, path, position)
self.point1 = point1
self.point2 = point2
self.point3 = point3
##############################################
Fabrice Salvaire
committed
def clone(self, path):
return self.__class__(path, self._position, self._point1, self._point2, self._point3)
##############################################
def apply_transformation(self, transformation):
TwoPointsMixin.apply_transformation(self, transformation)
Fabrice Salvaire
committed
self._point3 = transformation * self._point3
##############################################
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
@property
def point3(self):
return self._point3
@point3.setter
def point3(self, value):
self._point3 = Vector2D(value) # self._path.__vector_cls__
##############################################
@property
def stop_point(self):
return self._point3
@property
def points(self):
return (self.start_point, self._point1, self._point2, self._point3)
##############################################
@property
def geometry(self):
# Fixme: cache ???
return CubicBezier2D(self.start_point, self._point1, self._point2, self._point3)
####################################################################################################
class Path2D(Primitive2DMixin, Primitive1P):
"""Class to implements 2D Path."""
##############################################
def __init__(self, start_point):
Primitive1P.__init__(self, start_point)
self._parts = []
##############################################
Fabrice Salvaire
committed
def clone(self):
obj = self.__class__(self._p0)
# parts must be added sequentially to the path for bulge check
parts = obj._parts
for part in self._parts:
parts.append(part.clone(obj))
return obj
##############################################
def __len__(self):
return len(self._parts)
def __iter__(self):
return iter(self._parts)
def __getitem__(self, position):
# try:
# return self._parts[slice_]
# except IndexError:
# return None
position = int(position)
if 0 <= position < len(self._parts):
return self._parts[position]
else:
return None
##############################################
def _add_part(self, part_cls, *args, **kwargs):
obj = part_cls(self, len(self._parts), *args, **kwargs)
self._parts.append(obj)
return obj
##############################################
def apply_transformation(self, transformation):
Fabrice Salvaire
committed
self._p0 = transformation * self._p0
for i, part in enumerate(self._parts):
if isinstance(part, PathSegment):
part._reset_cache()
if isinstance(part, DirectionalSegment):
# Since a rotation will change the direction
# DirectionalSegment must be casted to PathSegment
part = part.to_path_segment()
self._parts[i] = part
part.apply_transformation(transformation)
Fabrice Salvaire
committed
##############################################
def move_to(self, point):
self.p0 = point
##############################################
def horizontal_to(self, distance, radius=None):
return self._add_part(HorizontalSegment, distance, radius)
def vertical_to(self, distance, radius=None):
return self._add_part(VerticalSegment, distance, radius)
def north_to(self, distance, radius=None):
return self._add_part(NorthSegment, distance, radius)
def south_to(self, distance, radius=None):
return self._add_part(SouthSegment, distance, radius)
def west_to(self, distance, radius=None):
return self._add_part(WestSegment, distance, radius)
def east_to(self, distance, radius=None):
return self._add_part(EastSegment, distance, radius)
def north_east_to(self, distance, radius=None):
return self._add_part(NorthEastSegment, distance, radius)
def south_east_to(self, distance, radius=None):
return self._add_part(SouthEastSegment, distance, radius)
def north_west_to(self, distance, radius=None):
return self._add_part(NorthWestSegment, distance, radius)
def south_west_to(self, distance, radius=None):
return self._add_part(SouthWestSegment, distance, radius)
##############################################
def line_to(self, point, radius=None, absolute=False):
return self._add_part(PathSegment, point, radius, absolute=absolute)
def close(self, radius=None):
# Fixme: radius must apply to start and stop
return self._add_part(PathSegment, self._p0, radius, absolute=True)
##############################################
def quadratic_to(self, point1, point2):
return self._add_part(QuadraticBezierSegment, point1, point2)
##############################################
def cubic_to(self, point1, point2, point3):
return self._add_part(CubicBezierSegment, point1, point2, point3)