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from svgpathtools import svg2paths, Line, QuadraticBezier, CubicBezier
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import numpy as np
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import bezier, math
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def triangulate_lengths(settings, dest_xy):
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left_pulley_position = (settings.left_pulley_x_offset, -settings.pulley_y_droop)
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right_pulley_position = (settings.right_pulley_x_offset + settings.canvas_x, -settings.pulley_y_droop)
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right_squared_x = pow(right_pulley_position[0] - dest_xy[0], 2)
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right_squared_y = pow(right_pulley_position[1] - dest_xy[1], 2)
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left_squared_x = pow(left_pulley_position[0] - dest_xy[0], 2)
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left_squared_y = pow(left_pulley_position[1] - dest_xy[1], 2)
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right_pulley_length = math.sqrt(right_squared_x + right_squared_y)
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left_pulley_length = math.sqrt(left_squared_x + left_squared_y)
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return left_pulley_length, right_pulley_length
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# http://paulbourke.net/geometry/circlesphere/
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# https://math.stackexchange.com/questions/187107/calculate-coordinates-of-3rd-point-vertex-of-a-scalene-triangle-if-angles-and
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# http://xaktly.com/MathNonRightTrig.html
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def untriangulate_lengths(settings, x, y):
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r0 = x
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r1 = y
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r2 = settings.distance_between_centers
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a = (pow(r0, 2) - pow(r1, 2) + pow(r2, 2)) / (2 * r2)
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h = math.sqrt(pow(r0, 2) - pow(a, 2))
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a = a + settings.left_pulley_x_offset
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h = h - settings.pulley_y_droop
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return a, h
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class Svg2GcodeConverter:
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def __init__(self, settings):
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self.settings = settings
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# First cycle base case flag
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self.started = False
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starting_xy = triangulate_lengths(self.settings, (self.settings.canvas_x/2, 0))
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self.gcode_preamble = '''
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G91 ; Set to relative mode for the initial pen lift
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G1 Z1 ; Lift head by 1
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G0 F{1} ; Set the feed rate
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G1 Z{0} ; Move the pen to just above the paper
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G90
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G92 X{2} Y{3}
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'''.format(1, self.settings.speed, starting_xy[0], starting_xy[1])
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self.gcode_end = '''
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G1 Z{0} F7000 ; Raise the pen
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'''.format(1)
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# From an input svg file, convert the vector svg paths to gcode tool paths
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def convert_gcode(self):
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# read in the svg
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paths, attributes = svg2paths("tmp/conversion-output.svg")
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# Find the scale value by resizing based on the svg bounding size
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bounding_x_max = None
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bounding_x_min = None
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bounding_y_max = None
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bounding_y_min = None
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for path in paths:
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bbox = path.bbox()
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if bounding_x_max is None:
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bounding_x_max = bbox[0]
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if bounding_x_min is None:
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bounding_x_min = bbox[1]
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if bounding_y_max is None:
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bounding_y_max = bbox[2]
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if bounding_y_min is None:
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bounding_y_min = bbox[3]
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bounding_x_min = min(bbox[0], bounding_x_min)
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bounding_x_max = max(bbox[1], bounding_x_max)
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bounding_y_min = max(bbox[2], bounding_y_min)
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bounding_y_max = max(bbox[3], bounding_y_max)
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print("Maximum X : {:.2f}".format(bounding_x_max))
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print("Minimum Y : {:.2f}".format(bounding_x_min))
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print("Maximum X : {:.2f}".format(bounding_y_max))
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print("Minimum Y : {:.2f}".format(bounding_y_min))
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max_x_dim = max(bounding_x_max, bounding_x_min)
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max_y_dim = max(bounding_y_max, bounding_y_min)
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scale_x = self.settings.canvas_x / max_x_dim
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scale_y = self.settings.canvas_y / max_y_dim
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scale = min(scale_x, scale_y)
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print("Scaling to : {:.5f}\n".format(scale))
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# Start the gcode
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gcode = ""
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gcode += self.gcode_preamble
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# Walk through the paths and create the GCODE
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for path in paths:
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previous_x = None
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previous_y = None
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for part in path:
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start = part.start
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end = part.end
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start_x = start.real * scale
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start_y = start.imag * scale
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end_x = end.real * scale
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end_y = end.imag * scale
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# Check to see if the endpoint of the last cycle continues and whether we need to lift the pen or not
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lift = True
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if previous_x is not None and previous_y is not None:
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if abs(start.real - previous_x) < 30 and abs(start.imag - previous_y) < 30:
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lift = False
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# if the pen needs to lift,
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# if lift:
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previous_x = end.real
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previous_y = end.imag
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if lift:
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gcode += "G1 Z{:.3f}\n".format(1)
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else:
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gcode += "; NOT LIFTING [{}]\n".format(self.settings.lift_counter)
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if isinstance(part, CubicBezier):
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nodes = np.asfortranarray([
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[start.real, part.control1.real, part.control2.real, end.real],
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[start.imag, part.control1.imag, part.control2.imag, end.imag],
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])
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curve = bezier.Curve.from_nodes(nodes)
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evals = []
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pos = np.linspace(0.1, 1, 3)
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for i in pos:
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evals.append(curve.evaluate(i))
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lengths = triangulate_lengths(self.settings, (start_x, start_y))
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# gcode += "; Setting down tip at beginning of line ({}, {})\n".format(start_x, start_y)
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gcode += "G1 X{:.3f} Y{:.3f}\n".format(lengths[0], lengths[1])
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gcode += "G1 Z{:.3f} \n".format(0)
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for i in evals:
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x = i[0][0]
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y = i[1][0]
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tmp_len = triangulate_lengths(self.settings, (x * scale, y * scale))
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# gcode += "; Continuing the line ({}, {})\n".format(x * scale, y * scale)
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gcode += "G1 X{:.3f} Y{:.3f}\n".format(tmp_len[0], tmp_len[1])
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if isinstance(part, Line):
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start_len = triangulate_lengths(self.settings, (start_x, start_y))
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end_len = triangulate_lengths(self.settings, (end_x, end_y))
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# gcode += "; Setting down tip at beginning of line ({}, {})\n".format(start_x, start_y)
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gcode += "G1 X{:.3f} Y{:.3f}\n".format(start_len[0], start_len[1])
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gcode += "G1 Z{:.3f} \n".format(0)
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# gcode += "; Moving tip to the end of the line ({}, {})\n".format(end_x, end_y)
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gcode += "G1 X{:.3f} Y{:.3f}\n".format(end_len[0], end_len[1])
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gcode += self.gcode_end
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output_gcode = open("output/gcode-output.gcode", "w")
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output_gcode.write(gcode)
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output_gcode.close()
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