466 lines
16 KiB
Python
466 lines
16 KiB
Python
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#! /usr/bin/env python3
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import inkex
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from lxml import etree
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from math import sin, cos, pi
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class Path:
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""" Class that defines an svg stroke to be drawn in Inkscape
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Attributes
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---------
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points: tuple or list of tuples
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Points defining stroke lines.
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style: str
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Single character defining style of stroke. Default values are:
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'm' for mountain creases
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'v' for valley creases
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'e' for edge borders
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Extra possible values:
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'u' for universal creases
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's' for semicreases
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'c' for kirigami cuts
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closed: bool
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Tells if desired path should contain a last stroke from the last point to the first point, closing the path
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radius: float
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If only one point is given, it's assumed to be a circle and radius sets the radius
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Methods
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---------
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invert(self)
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Inverts path
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Overloaded Operators
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---------
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__add__(self, offsets)
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Adding a tuple to a Path returns a new path with all points having an offset defined by the tuple
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__mul__(self, transform)
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Define multiplication of a Path to a vector in complex exponential representation
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Static Methods
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---------
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draw_paths_recursively(path_tree, group, styles_dict)
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Draws strokes defined on "path_tree" to "group". Styles dict maps style of path_tree element to the definition
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of the style. Ex.:
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if path_tree[i].style = 'm', styles_dict must have an element 'm'.
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generate_hgrid(cls, xlims, ylims, nb_of_divisions, style, include_edge=False)
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Generate list of Path instances, in which each Path is a stroke defining a horizontal grid dividing the space
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xlims * ylims nb_of_divisions times.
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generate_vgrid(cls, xlims, ylims, nb_of_divisions, style, include_edge=False)
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Generate list of Path instances, in which each Path is a stroke defining a vertical grid dividing the space
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xlims * ylims nb_of_divisions times.
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generate_separated_paths(cls, points, styles, closed=False)
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Generate list of Path instances, in which each Path is the stroke between each two point tuples, in case each
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stroke must be handled separately
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reflect(cls, path, p1, p2)
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Reflects each point of path on line defined by two points and return new Path instance with new reflected points
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list_reflect(cls, paths, p1, p2)
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Generate list of new Path instances, rotation each path by transform
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list_rotate(cls, paths, theta, translation=(0, 0))
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Generate list of new Path instances, rotation each path by transform
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list_add(cls, paths, offsets)
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Generate list of new Path instances, adding a different tuple for each list
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"""
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def __init__(self, points, style, closed=False, invert=False, radius=0.1, separated=False):
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""" Constructor
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Parameters
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---------
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points: list of 2D tuples
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stroke will connect all points
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style: str
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Single character defining style of stroke. For use with the OrigamiPatterns class (probably the only
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project that will ever use this file) the default values are:
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'm' for mountain creases
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'v' for valley creases
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'e' for edge borders
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closed: bool
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if true, last point will be connected to first point at the end
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invert: bool
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if true, stroke will start at the last point and go all the way to the first one
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"""
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if type(points) == list and len(points) != 1:
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self.type = 'linear'
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if invert:
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self.points = points[::-1]
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else:
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self.points = points
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elif (type(points) == list and len(points) == 1):
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self.type = 'circular'
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self.points = points
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self.radius = radius
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elif (type(points) == tuple and len(points) == 2):
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self.type = 'circular'
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self.points = [points]
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self.radius = radius
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else:
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raise TypeError("Points must be tuple of length 2 (for a circle) or a list of tuples of length 2 each")
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self.style = style
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self.closed = closed
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def invert(self):
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""" Inverts path
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"""
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self.points = self.points[::-1]
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"""
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Draw path recursively
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- Static method
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- Draws strokes defined on "path_tree" to "group"
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- Inputs:
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-- path_tree [nested list] of Path instances
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-- group [etree.SubElement]
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-- styles_dict [dict] containing all styles for path_tree
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"""
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@staticmethod
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def draw_paths_recursively(path_tree, group, styles_dict):
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""" Static method, draw list of Path instances recursively
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"""
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for subpath in path_tree:
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if type(subpath) == list:
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if len(subpath) == 1:
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subgroup = group
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else:
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subgroup = etree.SubElement(group, 'g')
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Path.draw_paths_recursively(subpath, subgroup, styles_dict)
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else:
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if styles_dict[subpath.style]['draw']:
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if subpath.type == 'linear':
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points = subpath.points
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path = 'M{},{} '.format(*points[0])
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for i in range(1, len(points)):
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path = path + 'L{},{} '.format(*points[i])
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if subpath.closed:
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path = path + 'L{},{} Z'.format(*points[0])
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attribs = {'style': str(inkex.Style(styles_dict[subpath.style])), 'd': path}
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etree.SubElement(group, inkex.addNS('path', 'svg'), attribs)
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else:
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attribs = {'style': str(inkex.Style(styles_dict[subpath.style])),
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'cx': str(subpath.points[0][0]), 'cy': str(subpath.points[0][1]),
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'r': str(subpath.radius)}
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etree.SubElement(group, inkex.addNS('circle', 'svg'), attribs)
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@classmethod
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def generate_hgrid(cls, xlims, ylims, nb_of_divisions, style, include_edge=False):
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""" Generate list of Path instances, in which each Path is a stroke defining
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a horizontal grid dividing the space xlims * ylims nb_of_divisions times.
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All lines are alternated, to minimize Laser Cutter unnecessary movements
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Parameters
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---------
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xlims: tuple
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Defines x_min and x_max for space that must be divided.
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ylims: tuple
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Defines y_min and y_max for space that must be divided.
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nb_of_divisions: int
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Defines how many times it should be divided.
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style: str
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Single character defining style of stroke.
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include_edge: bool
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Defines if edge should be drawn or not.
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Returns
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---------
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paths: list of Path instances
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"""
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rect_len = (ylims[1] - ylims[0])/nb_of_divisions
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hgrid = []
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for i in range(1 - include_edge, nb_of_divisions + include_edge):
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hgrid.append(cls([(xlims[0], ylims[0]+i*rect_len),
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(xlims[1], ylims[0]+i*rect_len)],
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style=style, invert=i % 2 == 0))
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return hgrid
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@classmethod
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def generate_vgrid(cls, xlims, ylims, nb_of_divisions, style, include_edge=False):
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""" Generate list of Path instances, in which each Path is a stroke defining
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a vertical grid dividing the space xlims * ylims nb_of_divisions times.
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All lines are alternated, to minimize Laser Cutter unnecessary movements
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Parameters
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---------
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-> refer to generate_hgrid
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Returns
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---------
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paths: list of Path instances
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"""
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rect_len = (xlims[1] - xlims[0])/nb_of_divisions
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vgrid = []
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for i in range(1 - include_edge, nb_of_divisions + include_edge):
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vgrid.append(cls([(xlims[0]+i*rect_len, ylims[0]),
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(xlims[0]+i*rect_len, ylims[1])],
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style=style, invert=i % 2 == 0))
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return vgrid
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@classmethod
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def generate_polygon(cls, sides, radius, style, center=(0, 0)):
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points = []
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for i in range(sides):
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points.append((radius * cos((1 + i * 2) * pi / sides),
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radius * sin((1 + i * 2) * pi / sides)))
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return Path(points, style, closed=True)
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@classmethod
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def generate_separated_paths(cls, points, styles, closed=False):
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""" Generate list of Path instances, in which each Path is the stroke
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between each two point tuples, in case each stroke must be handled separately.
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Returns
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---------
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paths: list
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list of Path instances
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"""
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paths = []
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if type(styles) == str:
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styles = [styles] * (len(points) - 1 + int(closed))
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elif len(styles) != len(points) - 1 + int(closed):
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raise TypeError("Number of paths and styles don't match")
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for i in range(len(points) - 1 + int(closed)):
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j = (i+1)%len(points)
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paths.append(cls([points[i], points[j]],
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styles[i]))
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return paths
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def __add__(self, offsets):
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""" " + " operator overload.
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Adding a tuple to a Path returns a new path with all points having an offset
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defined by the tuple
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"""
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if type(offsets) == list:
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if len(offsets) != 1 or len(offsets) != len(self.points):
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raise TypeError("Paths can only be added by a tuple of a list of N tuples, "
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"where N is the same number of points")
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elif type(offsets) != tuple:
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raise TypeError("Paths can only be added by tuples")
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else:
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offsets = [offsets] * len(self.points)
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# if type(self.points) == list:
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points_new = []
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for point, offset in zip(self.points, offsets):
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points_new.append((point[0]+offset[0],
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point[1]+offset[1]))
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if self.type == 'circular':
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radius = self.radius
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else:
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radius = 0.2
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# if self.type == 'circular' else 0.1
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return Path(points_new, self.style, self.closed, radius=radius)
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@classmethod
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def list_add(cls, paths, offsets):
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""" Generate list of new Path instances, adding a different tuple for each list
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Parameters
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---------
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paths: Path or list
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list of N Path instances
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offsets: tuple or list
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list of N tuples
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Returns
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---------
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paths_new: list
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list of N Path instances
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"""
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if type(paths) == Path and type(offsets) == tuple:
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paths = [paths]
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offsets = [offsets]
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elif type(paths) == list and type(offsets) == tuple:
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offsets = [offsets] * len(paths)
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elif type(paths) == Path and type(offsets) == list:
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paths = [paths] * len(offsets)
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elif type(paths) == list and type(offsets) == list:
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if len(paths) == 1:
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paths = [paths[0]] * len(offsets)
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elif len(offsets) == 1:
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offsets = [offsets[0]] * len(paths)
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elif len(offsets) != len(paths):
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raise TypeError("List of paths and list of tuples must have same length. {} paths and {} offsets "
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" where given".format(len(paths), len(offsets)))
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else:
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pass
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paths_new = []
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for path, offset in zip(paths, offsets):
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paths_new.append(path+offset)
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return paths_new
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def __mul__(self, transform):
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""" " * " operator overload.
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Define multiplication of a Path to a vector in complex exponential representation
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Parameters
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---------
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transform: float of tuple of length 2 or 4
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if float, transform represents magnitude
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Example: path * 3
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if tuple length 2, transform[0] represents magnitude and transform[1] represents angle of rotation
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Example: path * (3, pi)
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if tuple length 4, transform[2],transform[3] define a different axis of rotation
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Example: path * (3, pi, 1, 1)
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"""
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points_new = []
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# "temporary" (probably permanent) compatibility hack
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try:
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long_ = long
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except:
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long_ = int
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if isinstance(transform, (int, long_, float)):
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for p in self.points:
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points_new.append((transform * p[0],
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transform * p[1]))
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elif isinstance(transform, (list, tuple)):
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if len(transform) == 2:
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u = transform[0]*cos(transform[1])
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v = transform[0]*sin(transform[1])
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x_, y_ = 0, 0
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elif len(transform) == 4:
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u = transform[0]*cos(transform[1])
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v = transform[0]*sin(transform[1])
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x_, y_ = transform[2:]
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else:
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raise IndexError('Paths can only be multiplied by a number or a tuple/list of length 2 or 4')
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for p in self.points:
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x, y = p[0]-x_, p[1]-y_
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points_new.append((x_ + x * u - y * v,
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y_ + x * v + y * u))
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else:
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raise TypeError('Paths can only be multiplied by a number or a tuple/list of length 2 or 4')
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if self.type == 'circular':
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radius = self.radius
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else:
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radius = 0.2
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return Path(points_new, self.style, self.closed, radius=radius)
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@classmethod
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def list_rotate(cls, paths, theta, translation=(0, 0)):
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""" Generate list of new Path instances, rotation each path by transform
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Parameters
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---------
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paths: Path or list
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|
list of N Path instances
|
||
|
|
theta: float (radians)
|
||
|
|
angle of rotation
|
||
|
|
translation: tuple or list 2
|
||
|
|
axis of rotation
|
||
|
|
|
||
|
|
Returns
|
||
|
|
---------
|
||
|
|
paths_new: list
|
||
|
|
list of N Path instances
|
||
|
|
"""
|
||
|
|
if len(translation) != 2:
|
||
|
|
TypeError("Translation must have length 2")
|
||
|
|
|
||
|
|
if type(paths) != list:
|
||
|
|
paths = [paths]
|
||
|
|
|
||
|
|
paths_new = []
|
||
|
|
for path in paths:
|
||
|
|
paths_new.append(path*(1, theta, translation[0], translation[1]))
|
||
|
|
|
||
|
|
if len(paths_new) == 1:
|
||
|
|
paths_new = paths_new[0]
|
||
|
|
return paths_new
|
||
|
|
|
||
|
|
# TODO:
|
||
|
|
# Apparently it's not working properly, must be debugged and tested
|
||
|
|
@classmethod
|
||
|
|
def reflect(cls, path, p1, p2):
|
||
|
|
""" Reflects each point of path on line defined by two points and return new Path instance with new reflected points
|
||
|
|
|
||
|
|
Parameters
|
||
|
|
---------
|
||
|
|
path: Path
|
||
|
|
p1: tuple or list of size 2
|
||
|
|
p2: tuple or list of size 2
|
||
|
|
|
||
|
|
Returns
|
||
|
|
---------
|
||
|
|
path_reflected: Path
|
||
|
|
"""
|
||
|
|
|
||
|
|
(x1, y1) = p1
|
||
|
|
(x2, y2) = p2
|
||
|
|
|
||
|
|
if x1 == x2 and y1 == y2:
|
||
|
|
ValueError("Duplicate points don't define a line")
|
||
|
|
elif x1 == x2:
|
||
|
|
t_x = [-1, 0, 2*x1, 1]
|
||
|
|
t_y = [0, 1, 0, 1]
|
||
|
|
else:
|
||
|
|
m = (y2 - y1)/(x2 - x1)
|
||
|
|
t = y1 - m*x1
|
||
|
|
t_x = [1 - m**2, 2*m, -2*m*t, m**2 + 1]
|
||
|
|
t_y = [2*m, m**2 - 1, +2*t, m**2 + 1]
|
||
|
|
|
||
|
|
points_new = []
|
||
|
|
for p in path.points:
|
||
|
|
x_ = (t_x[0]*p[0] + t_x[1]*p[1] + t_x[2]) / t_x[3]
|
||
|
|
y_ = (t_y[0]*p[0] + t_y[1]*p[1] + t_y[2]) / t_y[3]
|
||
|
|
points_new.append((x_, y_))
|
||
|
|
|
||
|
|
return Path(points_new, path.style, path.closed)
|
||
|
|
|
||
|
|
# TODO:
|
||
|
|
# Apparently it's not working properly, must be debugged and tested
|
||
|
|
@classmethod
|
||
|
|
def list_reflect(cls, paths, p1, p2):
|
||
|
|
""" Generate list of new Path instances, rotation each path by transform
|
||
|
|
|
||
|
|
Parameters
|
||
|
|
---------
|
||
|
|
paths: Path or list
|
||
|
|
list of N Path instances
|
||
|
|
p1: tuple or list of size 2
|
||
|
|
p2: tuple or list of size 2
|
||
|
|
|
||
|
|
Returns
|
||
|
|
---------
|
||
|
|
paths_new: list
|
||
|
|
list of N Path instances
|
||
|
|
"""
|
||
|
|
|
||
|
|
if type(paths) == Path:
|
||
|
|
paths = [paths]
|
||
|
|
|
||
|
|
paths_new = []
|
||
|
|
for path in paths:
|
||
|
|
paths_new.append(Path.reflect(path, p1, p2))
|
||
|
|
|
||
|
|
return paths_new
|