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diff --git a/lib/elements/satin_column.py b/lib/elements/satin_column.py
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+from itertools import chain, izip
+
+from .. import _, Point
+from .element import param, EmbroideryElement, Patch
+from ..utils import cache
+from shapely import geometry as shgeo, ops as shops
+
+
+class SatinColumn(EmbroideryElement):
+ element_name = _("Satin Column")
+
+ def __init__(self, *args, **kwargs):
+ super(SatinColumn, self).__init__(*args, **kwargs)
+
+ @property
+ @param('satin_column', _('Custom satin column'), type='toggle')
+ def satin_column(self):
+ return self.get_boolean_param("satin_column")
+
+ @property
+ def color(self):
+ return self.get_style("stroke")
+
+ @property
+ @param('zigzag_spacing_mm', _('Zig-zag spacing (peak-to-peak)'), unit='mm', type='float', default=0.4)
+ def zigzag_spacing(self):
+ # peak-to-peak distance between zigzags
+ return max(self.get_float_param("zigzag_spacing_mm", 0.4), 0.01)
+
+ @property
+ @param('pull_compensation_mm', _('Pull compensation'), unit='mm', type='float')
+ def pull_compensation(self):
+ # In satin stitch, the stitches have a tendency to pull together and
+ # narrow the entire column. We can compensate for this by stitching
+ # wider than we desire the column to end up.
+ return self.get_float_param("pull_compensation_mm", 0)
+
+ @property
+ @param('contour_underlay', _('Contour underlay'), type='toggle', group=_('Contour Underlay'))
+ def contour_underlay(self):
+ # "Contour underlay" is stitching just inside the rectangular shape
+ # of the satin column; that is, up one side and down the other.
+ return self.get_boolean_param("contour_underlay")
+
+ @property
+ @param('contour_underlay_stitch_length_mm', _('Stitch length'), unit='mm', group=_('Contour Underlay'), type='float', default=1.5)
+ def contour_underlay_stitch_length(self):
+ return max(self.get_float_param("contour_underlay_stitch_length_mm", 1.5), 0.01)
+
+ @property
+ @param('contour_underlay_inset_mm', _('Contour underlay inset amount'), unit='mm', group=_('Contour Underlay'), type='float', default=0.4)
+ def contour_underlay_inset(self):
+ # how far inside the edge of the column to stitch the underlay
+ return self.get_float_param("contour_underlay_inset_mm", 0.4)
+
+ @property
+ @param('center_walk_underlay', _('Center-walk underlay'), type='toggle', group=_('Center-Walk Underlay'))
+ def center_walk_underlay(self):
+ # "Center walk underlay" is stitching down and back in the centerline
+ # between the two sides of the satin column.
+ return self.get_boolean_param("center_walk_underlay")
+
+ @property
+ @param('center_walk_underlay_stitch_length_mm', _('Stitch length'), unit='mm', group=_('Center-Walk Underlay'), type='float', default=1.5)
+ def center_walk_underlay_stitch_length(self):
+ return max(self.get_float_param("center_walk_underlay_stitch_length_mm", 1.5), 0.01)
+
+ @property
+ @param('zigzag_underlay', _('Zig-zag underlay'), type='toggle', group=_('Zig-zag Underlay'))
+ def zigzag_underlay(self):
+ return self.get_boolean_param("zigzag_underlay")
+
+ @property
+ @param('zigzag_underlay_spacing_mm', _('Zig-Zag spacing (peak-to-peak)'), unit='mm', group=_('Zig-zag Underlay'), type='float', default=3)
+ def zigzag_underlay_spacing(self):
+ return max(self.get_float_param("zigzag_underlay_spacing_mm", 3), 0.01)
+
+ @property
+ @param('zigzag_underlay_inset_mm', _('Inset amount (default: half of contour underlay inset)'), unit='mm', group=_('Zig-zag Underlay'), type='float')
+ def zigzag_underlay_inset(self):
+ # how far in from the edge of the satin the points in the zigzags
+ # should be
+
+ # Default to half of the contour underlay inset. That is, if we're
+ # doing both contour underlay and zigzag underlay, make sure the
+ # points of the zigzag fall outside the contour underlay but inside
+ # the edges of the satin column.
+ return self.get_float_param("zigzag_underlay_inset_mm") or self.contour_underlay_inset / 2.0
+
+ @property
+ @cache
+ def csp(self):
+ return self.parse_path()
+
+ @property
+ @cache
+ def flattened_beziers(self):
+ if len(self.csp) == 2:
+ return self.simple_flatten_beziers()
+ else:
+ return self.flatten_beziers_with_rungs()
+
+
+ def flatten_beziers_with_rungs(self):
+ input_paths = [self.flatten([path]) for path in self.csp]
+ input_paths = [shgeo.LineString(path[0]) for path in input_paths]
+
+ paths = input_paths[:]
+ paths.sort(key=lambda path: path.length, reverse=True)
+
+ # Imagine a satin column as a curvy ladder.
+ # The two long paths are the "rails" of the ladder. The remainder are
+ # the "rungs".
+ rails = paths[:2]
+ rungs = shgeo.MultiLineString(paths[2:])
+
+ # The rails should stay in the order they were in the original CSP.
+ # (this lets the user control where the satin starts and ends)
+ rails.sort(key=lambda rail: input_paths.index(rail))
+
+ result = []
+
+ for rail in rails:
+ if not rail.is_simple:
+ self.fatal(_("One or more rails crosses itself, and this is not allowed. Please split into multiple satin columns."))
+
+ # handle null intersections here?
+ linestrings = shops.split(rail, rungs)
+
+ #print >> dbg, "rails and rungs", [str(rail) for rail in rails], [str(rung) for rung in rungs]
+ if len(linestrings.geoms) < len(rungs.geoms) + 1:
+ self.fatal(_("satin column: One or more of the rungs doesn't intersect both rails.") + " " + _("Each rail should intersect both rungs once."))
+ elif len(linestrings.geoms) > len(rungs.geoms) + 1:
+ self.fatal(_("satin column: One or more of the rungs intersects the rails more than once.") + " " + _("Each rail should intersect both rungs once."))
+
+ paths = [[Point(*coord) for coord in ls.coords] for ls in linestrings.geoms]
+ result.append(paths)
+
+ return zip(*result)
+
+
+ def simple_flatten_beziers(self):
+ # Given a pair of paths made up of bezier segments, flatten
+ # each individual bezier segment into line segments that approximate
+ # the curves. Retain the divisions between beziers -- we'll use those
+ # later.
+
+ paths = []
+
+ for path in self.csp:
+ # See the documentation in the parent class for parse_path() for a
+ # description of the format of the CSP. Each bezier is constructed
+ # using two neighboring 3-tuples in the list.
+
+ flattened_path = []
+
+ # iterate over pairs of 3-tuples
+ for prev, current in zip(path[:-1], path[1:]):
+ flattened_segment = self.flatten([[prev, current]])
+ flattened_segment = [Point(x, y) for x, y in flattened_segment[0]]
+ flattened_path.append(flattened_segment)
+
+ paths.append(flattened_path)
+
+ return zip(*paths)
+
+ def validate_satin_column(self):
+ # The node should have exactly two paths with no fill. Each
+ # path should have the same number of points, meaning that they
+ # will both be made up of the same number of bezier curves.
+
+ node_id = self.node.get("id")
+
+ if self.get_style("fill") is not None:
+ self.fatal(_("satin column: object %s has a fill (but should not)") % node_id)
+
+ if len(self.csp) == 2:
+ if len(self.csp[0]) != len(self.csp[1]):
+ self.fatal(_("satin column: object %(id)s has two paths with an unequal number of points (%(length1)d and %(length2)d)") % \
+ dict(id=node_id, length1=len(self.csp[0]), length2=len(self.csp[1])))
+
+ def offset_points(self, pos1, pos2, offset_px):
+ # Expand or contract two points about their midpoint. This is
+ # useful for pull compensation and insetting underlay.
+
+ distance = (pos1 - pos2).length()
+
+ if distance < 0.0001:
+ # if they're the same point, we don't know which direction
+ # to offset in, so we have to just return the points
+ return pos1, pos2
+
+ # don't contract beyond the midpoint, or we'll start expanding
+ if offset_px < -distance / 2.0:
+ offset_px = -distance / 2.0
+
+ pos1 = pos1 + (pos1 - pos2).unit() * offset_px
+ pos2 = pos2 + (pos2 - pos1).unit() * offset_px
+
+ return pos1, pos2
+
+ def walk(self, path, start_pos, start_index, distance):
+ # Move <distance> pixels along <path>, which is a sequence of line
+ # segments defined by points.
+
+ # <start_index> is the index of the line segment in <path> that
+ # we're currently on. <start_pos> is where along that line
+ # segment we are. Return a new position and index.
+
+ # print >> dbg, "walk", start_pos, start_index, distance
+
+ pos = start_pos
+ index = start_index
+ last_index = len(path) - 1
+ distance_remaining = distance
+
+ while True:
+ if index >= last_index:
+ return pos, index
+
+ segment_end = path[index + 1]
+ segment = segment_end - pos
+ segment_length = segment.length()
+
+ if segment_length > distance_remaining:
+ # our walk ends partway along this segment
+ return pos + segment.unit() * distance_remaining, index
+ else:
+ # our walk goes past the end of this segment, so advance
+ # one point
+ index += 1
+ distance_remaining -= segment_length
+ pos = segment_end
+
+ def walk_paths(self, spacing, offset):
+ # Take a bezier segment from each path in turn, and plot out an
+ # equal number of points on each bezier. Return the points plotted.
+ # The points will be contracted or expanded by offset using
+ # offset_points().
+
+ points = [[], []]
+
+ def add_pair(pos1, pos2):
+ pos1, pos2 = self.offset_points(pos1, pos2, offset)
+ points[0].append(pos1)
+ points[1].append(pos2)
+
+ # We may not be able to fit an even number of zigzags in each pair of
+ # beziers. We'll store the remaining bit of the beziers after handling
+ # each section.
+ remainder_path1 = []
+ remainder_path2 = []
+
+ for segment1, segment2 in self.flattened_beziers:
+ subpath1 = remainder_path1 + segment1
+ subpath2 = remainder_path2 + segment2
+
+ len1 = shgeo.LineString(subpath1).length
+ len2 = shgeo.LineString(subpath2).length
+
+ # Base the number of stitches in each section on the _longest_ of
+ # the two beziers. Otherwise, things could get too sparse when one
+ # side is significantly longer (e.g. when going around a corner).
+ # The risk here is that we poke a hole in the fabric if we try to
+ # cram too many stitches on the short bezier. The user will need
+ # to avoid this through careful construction of paths.
+ #
+ # TODO: some commercial machine embroidery software compensates by
+ # pulling in some of the "inner" stitches toward the center a bit.
+
+ # note, this rounds down using integer-division
+ num_points = max(len1, len2) / spacing
+
+ spacing1 = len1 / num_points
+ spacing2 = len2 / num_points
+
+ pos1 = subpath1[0]
+ index1 = 0
+
+ pos2 = subpath2[0]
+ index2 = 0
+
+ for i in xrange(int(num_points)):
+ add_pair(pos1, pos2)
+
+ pos1, index1 = self.walk(subpath1, pos1, index1, spacing1)
+ pos2, index2 = self.walk(subpath2, pos2, index2, spacing2)
+
+ if index1 < len(subpath1) - 1:
+ remainder_path1 = [pos1] + subpath1[index1 + 1:]
+ else:
+ remainder_path1 = []
+
+ if index2 < len(subpath2) - 1:
+ remainder_path2 = [pos2] + subpath2[index2 + 1:]
+ else:
+ remainder_path2 = []
+
+ # We're off by one in the algorithm above, so we need one more
+ # pair of points. We also want to add points at the very end to
+ # make sure we match the vectors on screen as best as possible.
+ # Try to avoid doing both if they're going to stack up too
+ # closely.
+
+ end1 = remainder_path1[-1]
+ end2 = remainder_path2[-1]
+
+ if (end1 - pos1).length() > 0.3 * spacing:
+ add_pair(pos1, pos2)
+
+ add_pair(end1, end2)
+
+ return points
+
+ def do_contour_underlay(self):
+ # "contour walk" underlay: do stitches up one side and down the
+ # other.
+ forward, back = self.walk_paths(self.contour_underlay_stitch_length,
+ -self.contour_underlay_inset)
+ return Patch(color=self.color, stitches=(forward + list(reversed(back))))
+
+ def do_center_walk(self):
+ # Center walk underlay is just a running stitch down and back on the
+ # center line between the bezier curves.
+
+ # Do it like contour underlay, but inset all the way to the center.
+ forward, back = self.walk_paths(self.center_walk_underlay_stitch_length,
+ -100000)
+ return Patch(color=self.color, stitches=(forward + list(reversed(back))))
+
+ def do_zigzag_underlay(self):
+ # zigzag underlay, usually done at a much lower density than the
+ # satin itself. It looks like this:
+ #
+ # \/\/\/\/\/\/\/\/\/\/|
+ # /\/\/\/\/\/\/\/\/\/\|
+ #
+ # In combination with the "contour walk" underlay, this is the
+ # "German underlay" described here:
+ # http://www.mrxstitch.com/underlay-what-lies-beneath-machine-embroidery/
+
+ patch = Patch(color=self.color)
+
+ sides = self.walk_paths(self.zigzag_underlay_spacing / 2.0,
+ -self.zigzag_underlay_inset)
+
+ # This organizes the points in each side in the order that they'll be
+ # visited.
+ sides = [sides[0][::2] + list(reversed(sides[0][1::2])),
+ sides[1][1::2] + list(reversed(sides[1][::2]))]
+
+ # This fancy bit of iterable magic just repeatedly takes a point
+ # from each side in turn.
+ for point in chain.from_iterable(izip(*sides)):
+ patch.add_stitch(point)
+
+ return patch
+
+ def do_satin(self):
+ # satin: do a zigzag pattern, alternating between the paths. The
+ # zigzag looks like this to make the satin stitches look perpendicular
+ # to the column:
+ #
+ # /|/|/|/|/|/|/|/|
+
+ # print >> dbg, "satin", self.zigzag_spacing, self.pull_compensation
+
+ patch = Patch(color=self.color)
+
+ sides = self.walk_paths(self.zigzag_spacing, self.pull_compensation)
+
+ # Like in zigzag_underlay(): take a point from each side in turn.
+ for point in chain.from_iterable(izip(*sides)):
+ patch.add_stitch(point)
+
+ return patch
+
+ def to_patches(self, last_patch):
+ # Stitch a variable-width satin column, zig-zagging between two paths.
+
+ # The algorithm will draw zigzags between each consecutive pair of
+ # beziers. The boundary points between beziers serve as "checkpoints",
+ # allowing the user to control how the zigzags flow around corners.
+
+ # First, verify that we have valid paths.
+ self.validate_satin_column()
+
+ patches = []
+
+ if self.center_walk_underlay:
+ patches.append(self.do_center_walk())
+
+ if self.contour_underlay:
+ patches.append(self.do_contour_underlay())
+
+ if self.zigzag_underlay:
+ # zigzag underlay comes after contour walk underlay, so that the
+ # zigzags sit on the contour walk underlay like rail ties on rails.
+ patches.append(self.do_zigzag_underlay())
+
+ patches.append(self.do_satin())
+
+ return patches