Coils WIP

This commit is contained in:
jaseg 2023-06-13 19:26:11 +02:00
parent 86276490eb
commit 96fde32c0b

View file

@ -16,6 +16,19 @@ def point_line_distance(p, l1, l2):
# https://en.wikipedia.org/wiki/Distance_from_a_point_to_a_line
return abs((x2-x1)*(y1-y0) - (x1-x0)*(y2-y1)) / sqrt((x2-x1)**2 + (y2-y1)**2)
def line_line_intersection(l1, l2):
p1, p2 = l1
p3, p4 = l2
x1, y1 = p1
x2, y2 = p2
x3, y3 = p3
x4, y4 = p4
# https://en.wikipedia.org/wiki/Line%E2%80%93line_intersection
px = ((x1*y2-y1*x2)*(x3-x4)-(x1-x2)*(x3*y4-y3*x4))/((x1-x2)*(y3-y4)-(y1-y2)*(x3-x4))
py = ((x1*y2-y1*x2)*(y3-y4)-(y1-y2)*(x3*y4-y3*x4))/((x1-x2)*(y3-y4)-(y1-y2)*(x3-x4))
return px, py
@click.command()
@click.argument('infile', type=click.Path(exists=True, dir_okay=False, path_type=Path))
@ -58,9 +71,10 @@ def generate(infile, outfile, polygon, start_angle, stop_radius, trace_width, cl
print(f'Sum of segment angles: {degrees(sum(segment_angles)):.2f}')
segment_heights = [point_line_distance((cx, cy), (x1, y1), (x2, y2)) for (x1, y1), (x2, y2) in segments]
segment_foo = list(zip(segment_heights, segments))
closest_points = []
for h, ((x1, y1), (x2, y2)) in zip(segment_heights, segments):
for h, ((x1, y1), (x2, y2)) in segment_foo:
dc1 = dist((x1, y1), (cx, cy))
d12 = dist((x1, y1), (x2, y2))
db = sqrt(dc1**2 - h**2)
@ -76,22 +90,76 @@ def generate(infile, outfile, polygon, start_angle, stop_radius, trace_width, cl
num_windings = floor((trace_radius - trace_width) / (clearance + trace_width))
print(f'Going for {num_windings} windings')
segment_foo = list(zip(segment_heights, segments, segment_angles, closest_points))
dbg_lines = []
spiral_points = []
r_now = 0
for winding in range(num_windings):
for angle, ((x1, y1), (x2, y2)) in zip(segment_angles, segments):
angle_frac = angle/(2*pi)
d_r = angle_frac * (clearance + trace_width)
r_pt = dist((cx, cy), (x1, y1)) * (num_windings - winding) / num_windings
dr_tot = 0
for n in range(num_windings):
for (ha, (pa1, pa2), aa, ma), (hb, (pb1, pb2), ab, mb) in zip(segment_foo[-1:] + segment_foo[:-1], segment_foo):
pitch = clearance + trace_width
dr_tot_a = dr_tot
dr_tot_b = dr_tot + ab/(2*pi) * pitch
x1, y1 = x1-cx, y1-cy
x2, y2 = x2-cx, y2-cy
l1, l2 = hypot(x1, y1), hypot(x2, y2)
x1, y1 = x1/l1, y1/l1
x2, y2 = x2/l2, y2/l2
xma, yma = ma
xmb, ymb = mb
r_now += d_r
spiral_points.append((cx + x1*r_pt, cy + y1*r_pt))
xra = (xma - cx) / ha
yra = (yma - cy) / ha
xrb = (xmb - cx) / hb
yrb = (ymb - cy) / hb
xa1, ya1 = pa1
xa2, ya2 = pa2
xb1, yb1 = pb1
xb2, yb2 = pb2
dma = dist(pa2, ma)
dmb = dist(pb1, mb)
qa = dr_tot_a*dma/h
dra = hypot(dr_tot_a, qa)
xea = xa2 + (cx - xa2) / dist((cx, cy), pa2) * dra
yea = ya2 + (cy - ya2) / dist((cx, cy), pa2) * dra
qb = dr_tot_b*dmb/h
drb = hypot(dr_tot_b, qb)
xeb = xb1 + (cx - xb1) / dist((cx, cy), pb1) * drb
yeb = yb1 + (cy - yb1) / dist((cx, cy), pb1) * drb
xsa = xma - xra*dr_tot_a
ysa = yma - yra*dr_tot_a
xsb = xmb - xrb*dr_tot_b
ysb = ymb - yrb*dr_tot_b
l1 = (xsa, ysa), (xea, yea)
l2 = (xsb, ysb), (xeb, yeb)
dbg_lines.append(l1)
dbg_lines.append(l2)
pic = line_line_intersection(l1, l2)
spiral_points.append(pic)
dr_tot = dr_tot_b
#spiral_points = []
#r_now = 0
#for winding in range(num_windings):
# for angle, ((x1, y1), (x2, y2)) in zip(segment_angles, segments):
# angle_frac = angle/(2*pi)
# d_r = angle_frac * (clearance + trace_width)
# r_pt = dist((cx, cy), (x1, y1)) * (num_windings - winding) / num_windings
#
# x1, y1 = x1-cx, y1-cy
# x2, y2 = x2-cx, y2-cy
# l1, l2 = hypot(x1, y1), hypot(x2, y2)
# x1, y1 = x1/l1, y1/l1
# x2, y2 = x2/l2, y2/l2
#
# r_now += d_r
# spiral_points.append((cx + x1*r_pt, cy + y1*r_pt))
path_d = ' '.join([f'M {xy[0][0]} {xy[0][1]}', *[f'L {x} {y}' for x, y in xy[1:]], 'Z'])
path_d2 = ' '.join(f'M {cx} {cy} L {x} {y}' for x, y in xy)
@ -103,11 +171,14 @@ def generate(infile, outfile, polygon, start_angle, stop_radius, trace_width, cl
f.write(f'<svg version="1.1" width="200mm" height="200mm" viewBox="{vbx} {vby} {vbw} {vbh}" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">>\n')
f.write(f'<path fill="none" stroke="#303030" stroke-width="0.05" d="{path_d}"/>\n')
f.write(f'<path fill="none" stroke="#a0a0a0" stroke-width="0.05" d="{path_d2}"/>\n')
#f.write(f'<path fill="none" stroke="#ff00ff" stroke-width="{trace_width}" d="{path_d3}"/>\n')
f.write(f'<path fill="none" stroke="#ff00ff" opacity="0.5" stroke-width="{trace_width}" d="{path_d3}"/>\n')
f.write(f'<circle r="0.1" fill="red" stroke="none" cx="{cx}" cy="{cy}"/>\n')
for x, y in closest_points:
f.write(f'<circle r="0.1" fill="blue" stroke="none" cx="{x}" cy="{y}"/>\n')
f.write(f'<path fill="none" stroke="#a0a0ff" stroke-width="0.05" d="M {cx} {cy} L {x} {y}"/>')
for (x1, y1), (x2, y2) in dbg_lines:
f.write(f'<path fill="none" stroke="#000000" opacity="0.2" stroke-width="0.05" d="M {x1} {y1} L {x2} {y2}"/>')
f.write('</svg>\n')
if __name__ == '__main__':