from casadi import *
import matplotlib.pyplot as plt
import math
import operator
# scale in inkscape
# 1 unit = 0.283 mm
svg_scale = 1000.0/282.222
def svg_circle(id, name, c, r):
# create circle object in svg notation
text = [' \n'.format(c[0])]
return text
def svg_puzzle(p, size, angle):
# convert angle to radians
angle = angle / 360.0 * 2.0 * np.pi
# compute points
"""
v1 and v2 are orthogonal vectors
construction of points (starting at p):
p3 <------ -2 v1 ------ p2
^
|
v2
|
|
p4 <-- -v1 -- p -- v1 --> p1
then between points p2 and p3 with draw an arc
"""
v1 = np.array([np.cos(angle), np.sin(angle)])
v2 = np.array([v1[1], -v1[0]])
p1 = p + size * v1
p2 = p1 + size * v2
p3 = p2 - 2.0 * size * v1
p4 = p - size * v1
# convert to svg units
p1 *= svg_scale
p2 *= svg_scale
p3 *= svg_scale
p4 *= svg_scale
radius_scaled = 1.25 * size * svg_scale
text = [' \n'.format(p1[0], p1[1], p2[0], p2[1], radius_scaled, radius_scaled, p3[0], p3[1], p4[0], p4[1])]
return text
def svg_line_puzzle(start, end, puzzle_scale=1.0, linewidth=0.50):
# draws a line from start to end with a simple jigsaw puzzle style cutout in the middle
# the size of the cutout can be controlled with the puzzle_scale parameter
# compute points
"""
v1 and v2 are orthogonal vectors
construction of points (starting at p (middle between start and end)):
p2 ------- 2 v1 -----> p3
^
|
v2
|
|
start --- p1 <-- -v1 -- p -- v1 --> p4 --- end
then between points p2 and p3 with draw an arc
"""
v = end - start
dist = np.linalg.norm(v)
size = dist / 10.0 * puzzle_scale # size of the cutout
v = v / dist
angle = math.atan2(v[1], v[0]) # angle of v
# midpoint between start and end
p = np.mean([start, end], axis=0)
v1 = np.array([np.cos(angle), np.sin(angle)])
v2 = np.array([v1[1], -v1[0]])
p1 = p - size * v1
p2 = p1 + size * v2
p3 = p2 + 2.0 * size * v1
p4 = p + size * v1
# convert to svg units
p1 *= svg_scale
p2 *= svg_scale
p3 *= svg_scale
p4 *= svg_scale
start *= svg_scale
end *= svg_scale
radius_scaled = 1.25 * size * svg_scale
text = [' \n'.format(linewidth, start[0], start[1], p1[0], p1[1], p2[0], p2[1], radius_scaled, radius_scaled,
p3[0], p3[1], p4[0], p4[1], end[0], end[1])]
return text
def svg_half_circle(id, name, c, r, angle, orientation_flag=1):
# draws half a circle centered at c with radius r
# angle specifies how the half circle should be rotated
# for the default angle of zero, it draws the top half of the circle
# convert angle to radians
angle = angle/360.0 * 2.0 * np.pi
# compute starting point
v = np.array([np.cos(angle), np.sin(angle)])
begin = c + r * v # in millimeters
begin *= svg_scale # in svg units
# compute end point
end = c - r * v # in millimeters
end *= svg_scale # in svg units
radius_scaled = r * svg_scale # radius in svg units
text = [' \n'.format(begin[0], begin[1], radius_scaled, radius_scaled, orientation_flag, orientation_flag,
end[0], end[1])]
return text
def svg_arc(p1, p2, r, large_arc, sweep):
begin = p1 * svg_scale
end = p2 * svg_scale
radius_scaled = r * svg_scale
text = [' \n'.format(begin[0], begin[1], radius_scaled, radius_scaled, large_arc, sweep,
end[0], end[1])]
return text
def svg_rectangle(id, name, c, width, heigth, angle):
x = np.sqrt(c[0]**2 + c[1]**2) - width/2
y = - heigth
text = ['\n '
'\n '
'\n'
.format(angle, x, y ,width, heigth)]
return text
def svg_line(p1, p2, width=1.0):
text = [''.format(p1[0], p1[1], p2[0], p2[1], width)]
return text
# this function reads and processes data for optimal circle packaging obtained form packomania.com
def read_circle_data(N):
coords_raw = open('cci/cci{}.txt'.format(N))
radii_raw = open('cci/radii.txt'.format(N))
coords_raw = coords_raw.readlines()
coords_raw = [c.split() for c in coords_raw if c[0] != '#']
coords = {}
for c in coords_raw:
coords[int(c[0])] = (float(c[1]), float(c[2]))
coords = sort_ccw(coords, (0,0))
radii_raw = radii_raw.readlines()
radii_raw = [r.split() for r in radii_raw if r[0] != '#']
radii = {}
for r in radii_raw:
radii[int(r[0])] = float(r[1])
return radii[N], coords
# this function sorts enclosed circle coordinates counter-clockwise w.r.t. the center point
# TODO: there is a problem when circles are present that are not touching the boundary of the enclosing circle (e.g. N = 7)
def sort_ccw(coords, center):
a = {}
for c in coords:
a[c] = math.atan2(coords[c][1] - center[1], coords[c][0] - center[0])
a_sort = sorted(a.items(), key=operator.itemgetter(1))
coords_sort = []
for a in a_sort:
coords_sort.append(coords[a[0]])
return coords_sort
# compute the two tangential points at the circle with center c and radius r intersecting the point p
def compute_tangent_points(p, c, r):
b = sqrt((p[0] - c[0]) ** 2 + (p[1] - c[1]) ** 2)
th = acos(r / b) # angle theta
d = atan2(p[1] - c[1], p[0] - c[0]) # direction angle of point p from c
d1 = d + th # direction angle of point T1 from c
d2 = d - th # direction angle of point T2 from c
T1x = c[0] + r * cos(d1)
T1y = c[1] + r * sin(d1)
T2x = c[0] + r * cos(d2)
T2y = c[1] + r * sin(d2)
return (T1x, T1y), (T2x, T2y)
class PlateLayout:
def __init__(self, N, plate_radius):
self.N = N # number of enclosed circles
self.plate_radius = plate_radius
def compute_layout(self):
# read radius and center coordinates for enclosed circles
rtilde, coords = read_circle_data(self.N)
c = (0.0, 0.0) # center of big circle
R = 1.0 # radius of big circle
plt.xlim((-1, 1))
plt.ylim((-1, 1))
plt.gca().set_aspect('equal', 'box')
plt.ion()
plt.show()
for p in coords:
plt.plot(p[0], p[1], 'o')
circle = plt.Circle(p, rtilde, fill=False)
plt.gca().add_artist(circle)
circle = plt.Circle(c, R, fill=False)
plt.gca().add_artist(circle)
plt.plot(c[0], c[1], 'o')
coords_2 = []
for k in range(0, self.N):
p1 = coords[k]
p2 = coords[(k+1) % self.N]
# midpoint between center of two circles
m = np.mean([p1, p2], axis=0)
# vector in direction of midpoint
v = m - np.array(c)
v = v/np.linalg.norm(v)
#plt.plot(m[0], m[1], 'o')
# optimization problem for computing position and radius for a maximal circle fitting in space between two big circles
# and being fully contained in enclosing circle
opti = casadi.Opti()
r = opti.variable(1) # radius of new circle
p = opti.variable(2) # center of new circle
lamb = opti.variable(1) # distance of center of new circle to center of enclosing circle
opti.minimize(-r)
opti.subject_to(p == c + v * lamb)
opti.subject_to((p[0] - p1[0])**2 + (p[1] - p1[1])**2 >= (rtilde + r)**2)
opti.subject_to(R == lamb + r)
opti.subject_to(r >= 0)
opti.subject_to(r <= R)
opti.solver('ipopt')
init_r = 0.1
init_lamb = R - init_r
init_p = c + v * init_lamb
opti.set_initial(r, init_r)
opti.set_initial(p, init_p)
opti.set_initial(lamb, init_lamb)
sol = opti.solve()
p = sol.value(p)
r = sol.value(r)
lamb = sol.value(lamb)
print("p = {}".format(p))
print("r = {}".format(r))
print("lambda = {}".format(lamb))
print("v = {}".format(v))
coords_2.append(p)
plt.plot(p[0], p[1], 'o')
circle = plt.Circle(p, r, fill=False)
plt.gca().add_artist(circle)
tube1 = {}
tube2 = {}
# postprocessing solution:
# - output radii for circles
# - output center coordinates, angle w.r.t. origin and distance from origin
outer_radius = self.plate_radius # desired plate radius in meters
tube1_radius = outer_radius * rtilde
tube2_radius = outer_radius * r
print("\n------------------")
print("optimal values")
print("plate radius = {:6.3} m = {:6.2f} mm".format(outer_radius / 1000, outer_radius))
print("big circles:")
print(" radius = {:6.3} m = {:6.2f} mm".format(tube1_radius / 1000, tube1_radius))
print(" diameter = {:6.3} m = {:6.2f} mm".format(2 * tube1_radius / 1000, 2 * tube1_radius))
print("small circles:")
print(" radius = {:6.3} m = {:6.2f} mm".format(tube2_radius, tube2_radius * 1000))
print(" diameter = {:6.3} m = {:6.2f} mm".format(2*tube2_radius, 2*tube2_radius * 1000))
# compute coordinates and various measurements for fixed radii of plate and tubes
self.target_plate_radius = 160.0
self.target_center_hole_radius = 7.5
self.target_radius_1 = 50.5
self.target_radius_2 = 20.0
teeth = 200
D = 2 * self.target_plate_radius
self.plate_module = D/teeth
print("plate radius = {:6.2f} mm".format(self.target_plate_radius))
print("big circle radius = {:6.2f} mm".format(self.target_radius_1))
print("small circle radius = {:6.2f} mm".format(self.target_radius_2))
print("number of teeth: N = {}".format(teeth))
print("pitch diameter: D = {} mm".format(D))
print("module: M = {} mm".format(self.plate_module))
# parameters for dispenser gears
self.dispenser_module = 1.0
dispenser_1_target_pitch_diameter_big = 50.0
dispenser_1_target_pitch_diameter_small = 15.0
dispenser_1_teeth_big = int(dispenser_1_target_pitch_diameter_big/self.dispenser_module)
dispenser_1_teeth_small = int(dispenser_1_target_pitch_diameter_small/ self.dispenser_module)
dispenser_1_pitch_diameter_big = self.dispenser_module * dispenser_1_teeth_big
dispenser_1_outer_diameter_big = dispenser_1_pitch_diameter_big + 2 * self.dispenser_module
dispenser_1_pitch_diameter_small = self.dispenser_module * dispenser_1_teeth_small
dispenser_1_outer_diameter_small = dispenser_1_pitch_diameter_small + 2 * self.dispenser_module
dispenser_2_target_pitch_diameter_big = 20.0
dispenser_2_target_pitch_diameter_small = 15.0
dispenser_2_teeth_big = int(dispenser_2_target_pitch_diameter_big / self.dispenser_module)
dispenser_2_teeth_small = int(dispenser_2_target_pitch_diameter_small / self.dispenser_module)
dispenser_2_pitch_diameter_big = self.dispenser_module * dispenser_2_teeth_big
dispenser_2_outer_diameter_big = dispenser_2_pitch_diameter_big + 2 * self.dispenser_module
dispenser_2_pitch_diameter_small = self.dispenser_module * dispenser_2_teeth_small
dispenser_2_outer_diameter_small = dispenser_2_pitch_diameter_small + 2 * self.dispenser_module
print("parameters for dispenser gears:")
print(" big container:")
print(" module = {}".format(self.dispenser_module))
print(" pitch diameter big gear = {}".format(dispenser_1_pitch_diameter_big))
print(" number of teeth big gear = {}".format(dispenser_1_teeth_big))
print(" pitch diameter small gear = {}".format(dispenser_1_pitch_diameter_small))
print(" number of teeth small gear = {}".format(dispenser_1_teeth_small))
print(" small container:")
print(" module = {}".format(self.dispenser_module))
print(" pitch diameter big gear = {}".format(dispenser_2_pitch_diameter_big))
print(" number of teeth big gear = {}".format(dispenser_2_teeth_big))
print(" pitch diameter small gear = {}".format(dispenser_2_pitch_diameter_small))
print(" number of teeth small gear = {}".format(dispenser_2_teeth_small))
# plot plate
plt.figure(2)
plt.plot(0.0, 0.0, 'o')
circle = plt.Circle((0.0, 0.0), self.target_plate_radius, fill=False)
plt.gca().add_artist(circle)
plt.xlim((-self.target_plate_radius*1.1, self.target_plate_radius*1.1))
plt.ylim((-self.target_plate_radius*1.1, self.target_plate_radius*1.1))
plt.gca().set_aspect('equal', 'box')
# plate coordinates
print("plate coordinates: (x,y) = ({:8.3f}, {:8.3f})".format(0.0, 0.0))
self.tube_1_coords = {}
self.tube_2_coords = {}
self.tube_1_angles = {}
self.tube_2_angles = {}
self.tube_1_tangents = {}
self.tube_1_tangent_angles = {}
self.tube_1_cuts = {}
self.tube_2_tangents = {}
self.tube_2_tangent_angles = {}
self.tube_2_cuts = {}
print(" big circle coordinates:")
for k in range(0,self.N):
x = coords[k][0] * outer_radius
y = coords[k][1] * outer_radius
angle = arctan2(y, x) * 360.0 / (2.0 * math.pi)
self.tube_1_coords[k] = (x,y)
self.tube_1_angles[k] = angle
print(" k = {}, (x,y) = ({:8.3f}, {:8.3f}), angle = {:8.3f} deg".format(k, x, y, angle))
circle = plt.Circle((x,y), self.target_radius_1, fill=False)
plt.gca().add_artist(circle)
p1 = dispenser_1_pitch_diameter_big
p2 = dispenser_1_pitch_diameter_small
a1 = self.dispenser_module
a2 = self.dispenser_module
offset_1 = sqrt((p1 / 2 + p2 / 2) ** 2 - (p1 / 2 + a1) ** 2) - p2 / 2 - a2
print("dispenser 1 offset = {}".format(offset_1))
print(" big circle tangent points: ")
for k in range(0, self.N):
x = coords[k][0] * outer_radius
y = coords[k][1] * outer_radius
t1, t2 = compute_tangent_points((0, 0), (x, y), self.target_radius_1)
angle1_rad = arctan2(t1[1], t1[0])
angle2_rad = arctan2(t2[1], t2[0])
angle1_deg = angle1_rad * 360.0 / (2.0 * math.pi)
angle2_deg = angle2_rad * 360.0 / (2.0 * math.pi)
self.tube_1_tangents[k] = (t1, t2)
self.tube_1_tangent_angles[k] = (angle1_deg, angle2_deg)
print(
" k = {}, t1 = ({:8.3f}, {:8.3f}), angle = {:8.3f} deg\n t2 = ({:8.3f}, {:8.3f}), angle "
"= {:8.3f} deg".format(k, t1[0], t1[1], angle1_deg, t2[0], t2[1], angle2_deg))
plt.plot(t1[0], t1[1], 'o')
plt.plot(t2[0], t2[1], 'o')
## compute position of cut for dispenser gear
# vector pointing from center in direction of tangent point
v = np.array([math.cos(angle1_rad), math.sin(angle1_rad)])
cut_center = np.array(t1) - v * (offset_1 + dispenser_1_outer_diameter_small/2.0)
self.tube_1_cuts[k] = {}
self.tube_1_cuts[k]['center'] = cut_center
self.tube_1_cuts[k]['tangent_point'] = t1
self.tube_1_cuts[k]['angle_deg'] = angle1_deg
self.tube_1_cuts[k]['length'] = dispenser_1_outer_diameter_small
self.tube_1_cuts[k]['width'] = 5.0
plt.plot(cut_center[0], cut_center[1], 'o')
pass
print(" small circle coordinates:")
for k in range(0,self.N):
x = coords_2[k][0] * outer_radius
y = coords_2[k][1] * outer_radius
angle = arctan2(y, x) * 360.0 / (2.0 * math.pi)
self.tube_2_coords[k] = (x, y)
self.tube_2_angles[k] = angle
print(" k = {}, (x,y) = ({:8.3f}, {:8.3f}), angle = {:8.3f} deg".format(k, x, y, angle))
circle = plt.Circle((x, y), self.target_radius_2, fill=False)
plt.gca().add_artist(circle)
p1 = dispenser_2_pitch_diameter_big
p2 = dispenser_2_pitch_diameter_small
a1 = self.dispenser_module
a2 = self.dispenser_module
offset_2 = sqrt((p1 / 2 + p2 / 2) ** 2 - (p1 / 2 + a1) ** 2) - p2 / 2 - a2
print("dispenser 2 offset = {}".format(offset_2))
print(" small circle tangent points: ")
for k in range(0, self.N):
x = coords_2[k][0] * outer_radius
y = coords_2[k][1] * outer_radius
t1, t2 = compute_tangent_points((0, 0), (x, y), self.target_radius_2)
angle1_rad = arctan2(t1[1], t1[0])
angle2_rad = arctan2(t2[1], t2[0])
angle1_deg = angle1_rad * 360.0 / (2.0 * math.pi)
angle2_deg = angle2_rad * 360.0 / (2.0 * math.pi)
self.tube_2_tangents[k] = (t1, t2)
self.tube_2_tangent_angles[k] = (angle1_deg, angle2_deg)
print(" k = {}, t1 = ({:8.3f}, {:8.3f}), angle = {:8.3f} deg\n t2 = ({:8.3f}, {:8.3f}), angle "
"= {:8.3f} deg".format(k, t1[0], t1[1], angle1_deg, t2[0], t2[1], angle2_deg))
plt.plot(t1[0], t1[1], 'o')
plt.plot(t2[0], t2[1], 'o')
## compute position of cut for dispenser gear
# vector pointing from center in direction of tangent point
v = np.array([math.cos(angle1_rad), math.sin(angle1_rad)])
cut_center = np.array(t1) + v * (offset_2 + dispenser_2_outer_diameter_small/2.0)
self.tube_2_cuts[k] = {}
self.tube_2_cuts[k]['center'] = cut_center
self.tube_2_cuts[k]['tangent_point'] = t1
self.tube_2_cuts[k]['angle_deg'] = angle1_deg
self.tube_2_cuts[k]['length'] = dispenser_2_outer_diameter_small
self.tube_2_cuts[k]['width'] = 5.0
plt.plot(cut_center[0], cut_center[1], 'o')
pass
pass
"""
input: file = svg with plate gear centered at (0,0)
"""
def generate_svg(self, file):
f = open(file)
f_lines = f.readlines()
f.close()
circle_found = False
for k in range(len(f_lines)):
current_line = f_lines[k]
if 'transform' in current_line:
# rotate gear such that teeth match the cut lines
index = current_line.find('"\n')
f_lines[k] = current_line[0:index] + " rotate(0.9)" + current_line[-2:]
if 'd="m ' in current_line:
# remove center whole drawn by gear-dev
gear_data = current_line
index = gear_data.find('z') # end of path containing gear outline coordinates
f_lines[k] = gear_data[0:index+1] + gear_data[-2:]
if ' command
f_lines.remove(f_lines[-1])
# output plate as svg
text = svg_circle(0, 'plate', (0,0), self.target_plate_radius)
f_lines = f_lines + text
output_all = False
if output_all:
f_lines = self.output_whole(f_lines)
else:
f_lines = self.output_segment(f_lines, 2)
f_lines.append('\n')
# write new svg image
fw = open('output.svg', 'w')
fw.writelines(f_lines)
fw.close()
pass
def output_segment(self, f_lines, k):
# k = which segment?
k_next = (k + 1) % 5
# center hole
a = self.tube_1_angles[k]
a = a / 360.0 * 2.0 * np.pi
vunit = np.array([np.cos(a), np.sin(a)])
p1 = vunit * self.target_center_hole_radius
a2 = self.tube_1_angles[k_next]
a2 = a2 / 360.0 * 2.0 * np.pi
vunit2 = np.array([np.cos(a2), np.sin(a2)])
p2 = vunit2 * self.target_center_hole_radius
text = svg_arc(p1, p2, self.target_center_hole_radius, 0, 1)
f_lines = f_lines + text
# big circles arcs
c = self.tube_1_coords[k]
angle = self.tube_1_angles[k]
text = svg_half_circle(k, 'big circle', c, self.target_radius_1, angle)
f_lines = f_lines + text
c = self.tube_1_coords[k_next]
angle = self.tube_1_angles[k_next]
text = svg_half_circle(k_next, 'big circle', c, self.target_radius_1, angle, orientation_flag=0)
f_lines = f_lines + text
# small circle
c = self.tube_2_coords[k]
text = svg_circle(k, 'small circle', c, self.target_radius_2)
f_lines = f_lines + text
# gear pos for big circle
c = self.tube_1_tangents[k_next]
circle_midpoint = self.tube_1_coords[k_next]
v = np.array(c[0]) - np.array(circle_midpoint)
v = v / np.linalg.norm(v)
marking_length = 5.0
p1 = c[0]
p2 = c[0] + v * marking_length
text = svg_line(p1, p2)
f_lines = f_lines + text
# rectangle for big circles
c = self.tube_1_cuts[k_next]
text = svg_rectangle(k_next, 'cut', c['center'], c['length'], c['width'], c['angle_deg'])
f_lines = f_lines + text
# gear pos for small circle
c = self.tube_2_tangents[k]
circle_midpoint = self.tube_2_coords[k]
v = np.array(c[0]) - np.array(circle_midpoint)
v = v/np.linalg.norm(v)
marking_length = 5.0
p1 = c[0]
p2 = c[0] + v * marking_length
text = svg_line(p1, p2)
f_lines = f_lines + text
# rectangle for small circles
c = self.tube_2_cuts[k]
text = svg_rectangle(k, 'cut', c['center'], c['length'], c['width'], c['angle_deg'])
f_lines = f_lines + text
# segment border (right)
a = self.tube_1_angles[k]
a = a / 360.0 * 2.0 * np.pi
r1 = np.linalg.norm(np.array(self.tube_1_coords[k])) - self.target_radius_1
vunit = np.array([np.cos(a), np.sin(a)])
p1 = vunit * self.target_center_hole_radius
p2 = vunit * r1
#text = svg_line(p1, p2, 0.1)
text = svg_line_puzzle(p1, p2)
f_lines = f_lines + text
r2 = np.linalg.norm(np.array(self.tube_1_coords[k])) + self.target_radius_1
p3 = vunit * r2
r3 = self.target_plate_radius - self.plate_module
p4 = vunit * r3
text = svg_line_puzzle(p3, p4)
#text = svg_line(p3, p4, 0.1)
f_lines = f_lines + text
outer_point_1 = p4
# segment border (left)
a = self.tube_1_angles[k_next]
a = a / 360.0 * 2.0 * np.pi
r1 = np.linalg.norm(np.array(self.tube_1_coords[k_next])) - self.target_radius_1
vunit = np.array([np.cos(a), np.sin(a)])
p1 = vunit * self.target_center_hole_radius
p2 = vunit * r1
#text = svg_line(p1, p2, 0.1)
text = svg_line_puzzle(p1, p2)
f_lines = f_lines + text
r2 = np.linalg.norm(np.array(self.tube_1_coords[k_next])) + self.target_radius_1
p3 = vunit * r2
r3 = self.target_plate_radius - self.plate_module
p4 = vunit * r3
#text = svg_line(p3, p4, 0.1)
text = svg_line_puzzle(p3, p4)
f_lines = f_lines + text
outer_point_2 = p4
# truncate gear path
for j in range(len(f_lines)):
current_line = f_lines[j]
if 'd="m ' in current_line:
# remove center whole drawn by gear-dev
gear_data = current_line
index_start = gear_data.find('m') # end of path containing gear outline coordinates
index_end = gear_data.find('z')
coordinates_data_raw = gear_data[index_start+1:index_end].split()
c_running = np.array([float(v) for v in coordinates_data_raw[0].split(',')])
coordinates = [c_running]
for c in coordinates_data_raw[1:]:
dv = np.array([float(v) for v in c.split(',')])
c_running = c_running + dv
coordinates.append(c_running)
pass
dist_1 = [np.linalg.norm(c - outer_point_1 * svg_scale) for c in coordinates]
dist_2 = [np.linalg.norm(c - outer_point_2 * svg_scale) for c in coordinates]
# find minimum distance and keep only points between the two distances
# problem: does not consider manual rotation of the plate
# -> rotate points outer_point_1 and outer_point_2 before computing the distance
# ...
pass
#f_lines[k] = gear_data[0:index+1] + gear_data[-2:]
return f_lines
def output_whole(self, f_lines):
# output big circles as svg
for k, c in self.tube_1_coords.items():
text = svg_circle(k, 'big circle', c, self.target_radius_1)
f_lines = f_lines + text
pass
# output small circles as svg
for k, c in self.tube_2_coords.items():
text = svg_circle(k, 'small circle', c, self.target_radius_2)
f_lines = f_lines + text
pass
# gear markings for big cirlces and small circles
for k, c in self.tube_1_tangents.items():
circle_midpoint = self.tube_1_coords[k]
v = np.array(c[0]) - np.array(circle_midpoint)
v = v/np.linalg.norm(v)
marking_length = 5.0
p1 = c[0]
p2 = c[0] + v * marking_length
text = svg_line(p1, p2)
f_lines = f_lines + text
for k, c in self.tube_2_tangents.items():
circle_midpoint = self.tube_2_coords[k]
v = np.array(c[0]) - np.array(circle_midpoint)
v = v/np.linalg.norm(v)
marking_length = 5.0
p1 = c[0]
p2 = c[0] + v * marking_length
text = svg_line(p1, p2)
f_lines = f_lines + text
pass
# output cuts for big circles
for k, c in self.tube_1_cuts.items():
text = svg_rectangle(k, 'cut', c['center'], c['length'], c['width'], c['angle_deg'])
f_lines = f_lines + text
pass
# output cuts for small circles
for k, c in self.tube_2_cuts.items():
text = svg_rectangle(k, 'cut', c['center'], c['length'], c['width'], c['angle_deg'])
f_lines = f_lines + text
pass
# lines for manufacturing out of multiple pieces
for k, a in self.tube_1_angles.items():
a = a/360.0 * 2.0 * np.pi
r1 = np.linalg.norm(np.array(self.tube_1_coords[k])) - self.target_radius_1
vunit = np.array([np.cos(a), np.sin(a)])
p1 = vunit * self.target_center_hole_radius
p2 = vunit * r1
text = svg_line(p1, p2, 0.1)
f_lines = f_lines + text
r2 = np.linalg.norm(np.array(self.tube_1_coords[k])) + self.target_radius_1
p3 = vunit * r2
r3 = self.target_plate_radius - self.plate_module
p4 = vunit * r3
text = svg_line(p3, p4, 0.1)
f_lines = f_lines + text
pass
return f_lines