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pattern_tiling.py
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pattern_tiling.py
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from math import pi, exp, cos, sin, radians
from os.path import basename, isdir
from os import makedirs
import subprocess
from svgpathtools import Line, svg2paths, Path, parse_path
from svgwrite import Drawing, rgb
from svgpathtools.svg2paths import combine_transforms, transform_path
from utils import calc_overall_bbox, get_paletton
import argparse
import xml.dom.minidom
parser = argparse.ArgumentParser(
description='Generate a fabric pattern by doing a cairo tiling of another SVG')
parser.add_argument('--filename', type=str,
help='The filename of the svg to be tiled.')
parser.add_argument('--dx', type=float,
help="The x-distance to translate the image (in percentage of the "
"total width).")
parser.add_argument('--dy', type=float,
help="The y-distance to translate the image (in percentage of the "
"total height).")
parser.add_argument('--scale', type=float,
help="The scaling factor for the input image (in a fractional value).")
parser.add_argument('--repetitions', type=float,
help="The number of repetitions along each dimension of the tiling.")
def cexp(x):
return pow(exp(1), x)
def c(a):
return cos(a * pi / 180.)
def s(a):
return sin(a * pi / 180.)
def rotate_transform(angle):
return c(angle), s(angle), -s(angle), c(angle), 0, 0
def format_transform(angle, diff):
transform1 = rotate_transform(angle)
transform2 = 1, 0, 0, 1, diff.real, diff.imag
transform = combine_transforms(transform2, transform1)
return "matrix({},{},{},{},{},{})".format(*transform)
def prop(property_name, generator):
def getter(self):
if not hasattr(self, "_"+property_name):
self.__getattribute__(generator)()
return self.__getattribute__("_"+property_name)
return property(getter)
class CairoTiler(object):
def __init__(self, filename, dx=None, dy=None, repetitions=3, scale=1):
self.filename = filename
self.dx = dx
self.dy = dy
self.scale = scale
if repetitions is None:
raise ValueError("got no repetitions")
self.repetitions = repetitions
self.output_folder = "output"
if not isdir(self.output_folder):
makedirs(self.output_folder)
bottom_length = prop("bottom_length", "calc_bottom_length")
cairo_group = prop("cairo_group", "calculate_transforms")
colors = prop("colors", "init_colors")
column_offset = prop("column_offset", "calculate_transforms")
pattern_viewbox = prop("pattern_viewbox", "calc_pattern_viewbox")
pent_height = prop("pent_height", "calc_pentagon_dimensions")
pent_width = prop("pent_width", "calc_pentagon_dimensions")
pent_x = prop("pent_x", "calc_pentagon_dimensions")
pent_y = prop("pent_y", "calc_pentagon_dimensions")
points = prop("points", "init_pentagon_points")
rep_spacing = prop("rep_spacing", "calc_rep_spacing")
tile_attributes = prop("tile_attributes", "import_tile")
tile_paths = prop("tile_paths", "import_tile")
transforms = prop("transforms", "calculate_transforms")
@property
def num_down(self):
return int(1 + self.repetitions)
@property
def num_across(self):
return int(1 + 2 * self.repetitions)
def calc_rep_spacing(self):
self._rep_spacing = self.pent_width * 2 + self.bottom_length
def calc_bottom_length(self):
self._bottom_length = abs(self.points[2] - self.points[3])
def calc_pattern_viewbox(self):
bbox = calc_overall_bbox(self.cairo_group)
vbwidth = self.cairo_group[1][3].end.real + self.pent_height
vbheight = self.pent_height * 2
self._pattern_viewbox = min(bbox[0], bbox[1]) + self.cairo_group[1][2].end.real, \
min(bbox[2], bbox[3]), vbwidth * self.repetitions, \
vbheight * self.repetitions
def calc_pentagon_dimensions(self):
bbox = calc_overall_bbox(self.new_pentagon())
self._pent_width, self._pent_height = abs(bbox[1] - bbox[0]), abs(
bbox[3] - bbox[2])
self._pent_x, self._pent_y = min(bbox[0], bbox[1]), min(bbox[2], bbox[3])
def calculate_transforms(self):
self._transforms = [[0, 0]]
self._cairo_group = [self.new_pentagon()]
# point 2 of pentagon 2 needs to be attached to point 2 of pentagon 1
self._cairo_group.append(transform_path(rotate_transform(90), self.new_pentagon()))
diff = self._cairo_group[0][1].end - self._cairo_group[1][1].end
self._transforms.append([90, diff])
self._cairo_group[1] = self._cairo_group[1].translated(diff)
self._cairo_group.append(transform_path(rotate_transform(180), self.new_pentagon()))
# point 4 of pentagon 3 needs to be attached to point 3 of pentagon 1
diff = self._cairo_group[0][2].end - self._cairo_group[2][3].end
self._transforms.append([180, diff])
self._cairo_group[2] = self._cairo_group[2].translated(diff)
self._cairo_group.append(transform_path(rotate_transform(-90), self.new_pentagon()))
# point 5 of pentagon 4 needs to be attached to point 2 of pentagon 1
diff = self._cairo_group[0][4].end - self._cairo_group[3][4].end
self._transforms.append([-90, diff])
self._cairo_group[3] = self._cairo_group[3].translated(diff)
self._column_offset = self._cairo_group[0][0].end - self._cairo_group[1][2].end
def init_pentagon_points(self):
# we want a pentagon with the interior angles 120, 90, 120, 120, 90 interior
# angles
# 0
# 4 1
# 3 2
angle01 = 60.0
length1 = 300
# start with the top corner at 0, 0
self._points = [0, None, None, None, None]
self._points[1] = self._points[0] + length1 * cexp(1j * radians(angle01))
self._points[4] = self._points[0] + length1 * cexp(-1j * radians(angle01))
angle12 = -(180 - angle01 - 90)
self._points[2] = self._points[1] + length1 * cexp(1j * radians(angle12))
self._points[3] = self._points[4] + length1 * cexp(-1j * radians(angle12))
def init_colors(self):
self._colors = get_paletton("workspace/paletton.txt")
def new_pentagon(self):
return Path(
*[Line(start=self.points[i - 1], end=self.points[i])
for i in range(len(self.points))])
def draw_single_pentagon(self):
pentagon = self.new_pentagon()
dwg = Drawing("{}/single_pentagon.svg".format(self.output_folder), profile='tiny')
dwg.add(dwg.path(**{'d': pentagon.d(), 'fill': "none", 'stroke-width': 4,
'stroke': rgb(0, 0, 0)}))
dwg.viewbox(self.pent_x, self.pent_y, self.pent_width, self.pent_height)
dwg.save()
def draw_path_clip(self):
path_filename = "{}/path_clip_{}.svg".format(self.output_folder,
basename(self.filename).replace(".svg", ""))
dwg = Drawing(path_filename)
image_bbox = calc_overall_bbox(self.tile_paths)
dx = self.pent_x - min(image_bbox[0], image_bbox[1])
dy = self.pent_y - min(image_bbox[2], image_bbox[3])
dwg.add(dwg.path(**{"d": self.new_pentagon().d(), "fill": "none",
'stroke-width': 4,
'stroke': rgb(0, 0, 0)}))
neg_transform = "translate({}, {})".format(-dx, -dy)
transform = "translate({}, {})".format(dx, dy)
clip_path = dwg.defs.add(dwg.clipPath(id="pent_path", transform=neg_transform))
clip_path.add(dwg.path(d=self.new_pentagon().d()))
group = dwg.add(dwg.g(clip_path="url(#pent_path)", transform=transform,
id="clippedpath"))
for i, path in enumerate(self.tile_paths):
group.add(
dwg.path(d=path.d(), style=self.tile_attributes[i].get('style'),
id=self.tile_attributes[i]['id']))
dwg.add(dwg.use("#clippedpath", transform="transform(100, 100)"))
dwg.viewbox(self.pent_x, self.pent_y, self.pent_width, self.pent_height)
dwg.save()
xml = xml.dom.minidom.parse(path_filename)
open(path_filename, "w").write(xml.toprettyxml())
def import_tile(self):
self._tile_paths, self._tile_attributes = svg2paths(self.filename)
if self.scale == 1:
return
for i, path in enumerate(self._tile_paths):
self._tile_paths[i] = path.scaled(self.scale)
def generate_tiling(self):
dwg = Drawing("{}/tiling2.svg".format(self.output_folder), profile="tiny")
current_color = 0
row_spacing = self.pent_height * 2 + self.bottom_length
for y in range(self.num_down):
transform = "translate({}, {})".format(0, self.rep_spacing * y)
dgroup = dwg.add(dwg.g(transform=transform))
for x in range(self.num_across):
# if x is odd, point 1 of pent 1 needs to be attached to point 3 of pent 2
if x % 2 == 1:
dx = int(x / 2) * self.rep_spacing + self.pent_width * 2 + self.column_offset.real
transform = "translate({}, {})".format(dx, self.column_offset.imag)
else:
transform = "translate({}, {})".format(int(x / 2) * self.rep_spacing, 0)
group = dgroup.add(dwg.g(transform=transform))
for pent in self.cairo_group:
group.add(
dwg.path(**{'d': pent.d(), 'fill': self._colors[current_color % len(self._colors)],
'stroke-width': 4, 'stroke': rgb(0, 0, 0)}))
current_color += 1
dwg.viewbox(*self.pattern_viewbox)
dwg.save(pretty=True)
def draw_pattern(self):
self.output_filename = "{}/snake_tiling_m_{}_{}.svg".format(self.output_folder,
self.dx,
self.dy)
dwg = Drawing(self.output_filename)
# add background panel
background_clippath = dwg.rect(insert=(self.pattern_viewbox[0], self.pattern_viewbox[1]),
size=('100%', '100%'))
background_panel = dwg.rect(insert=(self.pattern_viewbox[0], self.pattern_viewbox[1]),
size=('101%', '101%'), fill='#3072a2')
clip_path = dwg.defs.add(dwg.clipPath(id="background_panel"))
clip_path.add(background_clippath)
clipped_drawing = dwg.add(dwg.g(clip_path="url(#background_panel)", id="clippedpath"))
clipped_drawing.add(background_panel)
current_color = 0
def add_pentagon(group, transform, current_color, draw_pent=True):
pent_group = group.add(dwg.g(transform=format_transform(*transform)))
if draw_pent:
pent_group.add(
dwg.path(
**{'d': self.new_pentagon().d(),
'fill': self.colors[current_color % len(self.colors)],
'stroke-width': 4, 'stroke': rgb(0, 0, 0)}))
return pent_group
for y in range(self.num_down):
transform = "translate({}, {})".format(0, self.rep_spacing * y)
dgroup = clipped_drawing.add(dwg.g(transform=transform))
for x in range(self.num_across):
# if x is odd, point 1 of pent 1 needs to be attached to point 3 of pent 2
if x % 2 == 1:
dx = int(x / 2) * self.rep_spacing + self.pent_width * 2 + self.column_offset.real
diff = dx + self.column_offset.imag * 1j
else:
diff = int(x / 2) * self.rep_spacing
for i in range(4):
snake_bbox = calc_overall_bbox(self.tile_paths)
snake_width, snake_height = abs(snake_bbox[0] - snake_bbox[1]), \
abs(snake_bbox[2] - snake_bbox[3])
pent_group = add_pentagon(dgroup,
(self.transforms[i][0], self.transforms[i][1] + diff),
current_color, draw_pent=False)
for i, path in enumerate(self.tile_paths):
stransform = 'translate({},{})'.format(snake_width * self.dx,
snake_height * self.dy)
pent_group.add(
dwg.path(**{'d': path.d(),
'style': self.tile_attributes[i].get('style'),
'id': self.tile_attributes[i]['id'],
'transform': stransform}))
current_color += 1
dwg.viewbox(*self.pattern_viewbox)
dwg.save()
def export_png(self):
# this step requires that you have imagemagick working.
# this could be replaced with a python binding to imagemagick, however, these
# bindings cause python to crash on my computer.
dpi = 150
width_inches = 36 # one yard
size = dpi*width_inches
subprocess.call(['convert', self.output_filename, '-resize', '{}x{}'.format(size, size),
self.output_filename.replace(".svg", ".png")])
def ranged_diffs(self):
ds = [0, 0.25, 0.5, 0.75, 1.0]
for adx in ds:
self.dx = adx
for ady in ds:
self.dy = ady
self.draw_pattern()
if __name__ == "__main__":
args = parser.parse_args()
_tiler = CairoTiler(**vars(args))
_tiler.draw_pattern()
_tiler.export_png()