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#!/usr/bin/env python
#
# Copyright (C) 2006 Jean-Francois Barraud, barraud@math.univ-lille1.fr
# 2021 Jonathan Neuhauser, jonathan.neuhauser@outlook.com
#
# 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
# barraud@math.univ-lille1.fr
#
"""
This script deforms an object (the pattern) along other paths (skeletons)...
The first selected object is the pattern
the last selected ones are the skeletons.
Imagine a straight horizontal line L in the middle of the bounding box of the pattern.
Consider the normal bundle of L: the collection of all the vertical lines meeting L.
Consider this as the initial state of the plane; in particular, think of the pattern
as painted on these lines.
Now move and bend L to make it fit a skeleton, and see what happens to the normals:
they move and rotate, deforming the pattern.
"""
import copy
import math
import inkex
from inkex.bezier import tpoint
from inkex.paths import CubicSuperPath
from inkex.localization import inkex_gettext as _
import pathmodifier
class PathAlongPath(pathmodifier.PathModifier):
"""Deform a path along a second path"""
def add_arguments(self, pars):
pars.add_argument(
"-n", "--noffset", type=float, default=0.0, help="normal offset"
)
pars.add_argument(
"-t", "--toffset", type=float, default=0.0, help="tangential offset"
)
pars.add_argument("-k", "--kind", type=str, default="")
pars.add_argument(
"-c",
"--copymode",
default="Single",
help="repeat the path to fit deformer's length",
)
pars.add_argument("-p", "--space", type=float, default=0.0)
pars.add_argument(
"-v",
"--vertical",
type=inkex.Boolean,
default=False,
help="reference path is vertical",
)
pars.add_argument(
"-d",
"--duplicate",
type=inkex.Boolean,
default=True,
help="duplicate pattern before deformation",
)
pars.add_argument("--tab", help="The selected UI-tab when OK was pressed")
def apply_diffeomorphism(self, bpt, skelcomp, lengths, isclosed, vects=()):
"""
The kernel of this stuff:
bpt is a base point and for v in vectors, v'=v-p is a tangent vector at bpt.
"""
s = bpt[0] - skelcomp[0][0]
i, t = self.lengthtotime(s, lengths, isclosed)
if i == len(skelcomp) - 1:
x, y = tpoint(skelcomp[i - 1], skelcomp[i], 1 + t)
dx = (skelcomp[i][0] - skelcomp[i - 1][0]) / lengths[-1]
dy = (skelcomp[i][1] - skelcomp[i - 1][1]) / lengths[-1]
else:
x, y = tpoint(skelcomp[i], skelcomp[i + 1], t)
dx = (skelcomp[i + 1][0] - skelcomp[i][0]) / lengths[i]
dy = (skelcomp[i + 1][1] - skelcomp[i][1]) / lengths[i]
vx = 0
vy = bpt[1] - skelcomp[0][1]
if self.options.wave:
bpt[0] = x + vx * dx
bpt[1] = y + vy + vx * dy
else:
bpt[0] = x + vx * dx - vy * dy
bpt[1] = y + vx * dy + vy * dx
for v in vects:
vx = v[0] - skelcomp[0][0] - s
vy = v[1] - skelcomp[0][1]
if self.options.wave:
v[0] = x + vx * dx
v[1] = y + vy + vx * dy
else:
v[0] = x + vx * dx - vy * dy
v[1] = y + vx * dy + vy * dx
def effect(self):
if len(self.options.ids) < 2:
raise inkex.AbortExtension(_("This extension requires two selected paths."))
self.options.wave = self.options.kind == "Ribbon"
if self.options.copymode == "Single":
self.options.repeat = False
self.options.stretch = False
elif self.options.copymode == "Repeated":
self.options.repeat = True
self.options.stretch = False
elif self.options.copymode == "Single, stretched":
self.options.repeat = False
self.options.stretch = True
elif self.options.copymode == "Repeated, stretched":
self.options.repeat = True
self.options.stretch = True
patterns, skels = self.get_patterns_and_skeletons(True, self.options.duplicate)
bboxes = [pattern.bounding_box() for pattern in patterns.values()]
if None in bboxes: # for texts, we can't compute the bounding box
raise inkex.AbortExtension(_("Please convert texts to path first"))
bbox = sum(bboxes, None)
if self.options.vertical:
# flipxy(bbox)...
bbox = inkex.BoundingBox(-bbox.y, -bbox.x)
width = bbox.width
delta_x = width + self.options.space
if delta_x < 0.01:
raise inkex.AbortExtension(
_(
"The total length of the pattern is too small\n"
"Please choose a larger object or set 'Space between copies' > 0"
)
)
for pattern in patterns.values():
if isinstance(pattern, inkex.PathElement):
pattern.apply_transform()
pattern.path = self._do_transform(
skels, pattern.path.to_superpath(), delta_x, bbox
)
def _do_transform(self, skeletons, p0, dx, bbox):
if self.options.vertical:
self.flipxy(p0)
newp = []
for skelnode in skeletons.values():
skelnode.apply_transform()
cur_skeleton = skelnode.path.to_superpath()
if self.options.vertical:
self.flipxy(cur_skeleton)
for comp in cur_skeleton:
path = copy.deepcopy(p0)
skelcomp, lengths = self.linearize(comp)
skel_closed = all(
[math.isclose(i, j) for i, j in zip(skelcomp[0], skelcomp[-1])]
)
length = sum(lengths)
xoffset = skelcomp[0][0] - bbox.x.minimum + self.options.toffset
yoffset = skelcomp[0][1] - bbox.y.center - self.options.noffset
if self.options.repeat:
nb_copies = max(1, int(round((length + self.options.space) / dx)))
width = dx * nb_copies
if not skel_closed:
width -= self.options.space
bbox.x.maximum = bbox.x.minimum + width
new = []
for sub in path:
for _ in range(nb_copies):
new.append(copy.deepcopy(sub))
self.offset(sub, dx, 0)
path = new
for sub in path:
self.offset(sub, xoffset, yoffset)
if self.options.stretch:
if not bbox.width:
raise inkex.AbortExtension(
_(
"The 'stretch' option requires that the pattern must "
"have non-zero width :\nPlease edit the pattern width."
)
)
for sub in path:
self.stretch(sub, length / bbox.width, 1, skelcomp[0])
for sub in path:
for ctlpt in sub:
self.apply_diffeomorphism(
ctlpt[1],
skelcomp,
lengths,
skel_closed,
(ctlpt[0], ctlpt[2]),
)
if self.options.vertical:
self.flipxy(path)
newp += path
return CubicSuperPath(newp)
if __name__ == "__main__":
PathAlongPath().run()
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