103 lines
5.0 KiB
Python
103 lines
5.0 KiB
Python
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#! /usr/bin/env python3
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import math
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import numpy as np
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import inkex
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from Path import Path
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from Pattern import Pattern
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# TODO:
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# Add fractional column number option
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class Waterbomb(Pattern):
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def __init__(self):
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Pattern.__init__(self)
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self.add_argument("-p", "--pattern", default="waterbomb", help="Origami pattern")
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self.add_argument("--pattern_first_line", default="waterbomb", help="Origami pattern")
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self.add_argument("--pattern_last_line", default="waterbomb", help="Origami pattern")
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self.add_argument("--lines", type=int, default=8, help="Number of lines")
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self.add_argument("--columns", type=int, default=16, help="Number of columns")
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self.add_argument("--length", type=float, default=10.0, help="Length of grid square")
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self.add_argument('--phase_shift', type=inkex.Boolean, default=True, help='Shift phase of tesselation.')
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def generate_path_tree(self):
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""" Specialized path generation for Waterbomb tesselation pattern
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"""
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unit_factor = self.calc_unit_factor()
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length = self.options.length * unit_factor
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vertex_radius = self.options.vertex_radius * unit_factor
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cols = self.options.columns
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lines = self.options.lines
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phase_shift = self.options.phase_shift
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pattern_first_line = self.options.pattern_first_line
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pattern_last_line = self.options.pattern_last_line
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# create vertices
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vertex_line_types = [[Path(((i / 2.) * length, 0), style='p', radius=vertex_radius) for i in range(2*cols + 1)],
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[Path((i * length, 0), style='p', radius=vertex_radius) for i in range(cols + 1)],
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[Path(((i + 0.5) * length, 0), style='p', radius=vertex_radius) for i in range(cols)]]
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vertices = []
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for i in range(2*lines + 1):
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if i % 2 == 0 or (pattern_first_line == 'magic_ball' and i == 1) or (pattern_last_line == 'magic_ball' and i == 2*lines - 1):
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type = 0
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elif(i/2 + phase_shift) % 2 == 0:
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type = 1
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else:
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type = 2
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vertices = vertices + Path.list_add(vertex_line_types[type], (0, 0.5*i*length))
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# create a list for the horizontal creases and another for the vertical creases
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# alternate strokes to minimize laser cutter path
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corr_fist_line = length/2 if pattern_first_line == 'magic_ball' else 0
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corr_last_line = length/2 if pattern_last_line == 'magic_ball' else 0
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grid = [Path.generate_hgrid([0, length*cols], [0, length*lines], lines, 'm'),
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Path.generate_vgrid([0, length*cols], [corr_fist_line, length*lines-corr_last_line], 2*cols, 'm')]
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vgrid_a = Path.generate_vgrid([0, length * cols], [0, length / 2], 2 * cols, 'v')
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vgrid_b = Path.list_add(vgrid_a, (0, (lines - 0.5) * length))
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if pattern_first_line == 'magic_ball' and pattern_last_line == 'magic_ball':
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grid[1] = [[vgrid_a[i], grid[1][i], vgrid_b[i]] if i % 2 == 0 else
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[vgrid_b[i], grid[1][i], vgrid_a[i]] for i in range(len(grid[1]))]
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elif pattern_first_line == 'magic_ball':
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grid[1] = [[vgrid_a[i], grid[1][i]] if i % 2 == 0 else
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[grid[1][i], vgrid_a[i]] for i in range(len(grid[1]))]
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elif pattern_last_line == 'magic_ball':
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grid[1] = [[grid[1][i], vgrid_b[i]] if i % 2 == 0 else
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[vgrid_b[i], grid[1][i]] for i in range(len(grid[1]))]
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# create generic valley Path lines, one pointing up and other pointing down
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valley_types = [Path([(i * length / 2, (1 - i % 2) * length / 2) for i in range(2 * cols + 1)], 'v'),
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Path([( i*length/2, (i % 2)*length/2) for i in range(2 * cols + 1)], 'v')]
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# define which lines must be of which type, according to parity and options
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senses = np.array([bool((i % 2+i)/2 % 2) for i in range(2*lines)])
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senses = 1*senses # converts bool array to 0's and 1's
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if phase_shift:
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senses = np.invert(senses)
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if pattern_first_line == "magic_ball":
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senses[0] = ~senses[0]
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if pattern_last_line == "magic_ball":
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senses[-1] = ~senses[-1]
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valleys = [valley_types[senses[i]] + (0, i * length / 2) for i in range(2*lines)]
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# convert first and last lines to mountains if magic_ball
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if pattern_first_line == "magic_ball":
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valleys[0].style = 'm'
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if pattern_last_line == "magic_ball":
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valleys[-1].style = 'm'
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# invert every two lines to minimize laser cutter movements
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for i in range(1, 2*lines, 2):
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valleys[i].invert()
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self.edge_points = [(0*length*cols, 0*length*lines), # top left
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(1*length*cols, 0*length*lines), # top right
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(1*length*cols, 1*length*lines), # bottom right
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(0*length*cols, 1*length*lines)] # bottom left
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self.path_tree = [grid, valleys, vertices]
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if __name__ == '__main__':
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Waterbomb().run()
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