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-rw-r--r--coil_gen.py86
1 files changed, 51 insertions, 35 deletions
diff --git a/coil_gen.py b/coil_gen.py
index 642a77d..78610d2 100644
--- a/coil_gen.py
+++ b/coil_gen.py
@@ -73,16 +73,18 @@ def generate(infile, outfile, polygon, start_angle, stop_radius, trace_width, cl
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 = []
+ midpoints = []
+ for h, ((x1, y1), (x2, y2)) in segment_foo:
+ xb = (x1 + x2) / 2
+ yb = (y1 + y2) / 2
+ midpoints.append((xb, yb))
+
+ normals = []
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)
- xn = (x2 - x1) / d12
- yn = (y2 - y1) / d12
- xb = x1 + xn * db
- yb = y1 + yn * db
- closest_points.append((xb, yb))
+ dx = x2 - x1
+ dy = y2 - y1
+ normals.append((-dy/d12, dx/d12))
smallest_radius = min(segment_heights)
#trace_radius = smallest_radius - stop_radius
@@ -90,24 +92,21 @@ 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))
+ segment_foo = list(zip(segment_heights, segments, segment_angles, midpoints, normals))
- dbg_lines = []
+ dbg_lines1, dbg_lines2 = [], []
spiral_points = []
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):
+ for (ha, (pa1, pa2), aa, ma, na), (hb, (pb1, pb2), ab, mb, nb) 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
xma, yma = ma
+ xna, yna = na
xmb, ymb = mb
-
- xra = (xma - cx) / ha
- yra = (yma - cy) / ha
- xrb = (xmb - cx) / hb
- yrb = (ymb - cy) / hb
+ xnb, ynb = nb
xa1, ya1 = pa1
xa2, ya2 = pa2
@@ -117,27 +116,39 @@ def generate(infile, outfile, polygon, start_angle, stop_radius, trace_width, cl
dma = dist(pa2, ma)
dmb = dist(pb1, mb)
- qa = dr_tot_a*dma/ha
- dra = hypot(dr_tot_a, qa)
- xea = xa2 + (cx - xa2) / dist((cx, cy), pa2) * dra
- yea = ya2 + (cy - ya2) / dist((cx, cy), pa2) * dra
+ x_cons_a, y_cons_a = p_cons_a = line_line_intersection((pa2, (cx, cy)), (ma, (xma-xna, yma-yna)))
+ d_cons_a = dist(p_cons_a, ma)
+ qa = dma * dr_tot_a / d_cons_a
+ dra = hypot(qa, dr_tot_a)
+
+ nrax = (xa2 - cx) / dist((cx, cy), pa2)
+ nray = (ya2 - cy) / dist((cx, cy), pa2)
+
+ xea = xa2 - nrax*dra
+ yea = ya2 - nray*dra
+
+ x_cons_b, y_cons_b = p_cons_b = line_line_intersection((pb1, (cx, cy)), (mb, (xmb-xnb, ymb-ynb)))
+ d_cons_b = dist(p_cons_b, mb)
+ qb = dmb * dr_tot_b / d_cons_b
+ drb = hypot(qb, dr_tot_b)
+
+ nrbx = (xb1 - cx) / dist((cx, cy), pb1)
+ nrby = (yb1 - cy) / dist((cx, cy), pb1)
- qb = dr_tot_b*dmb/hb
- drb = hypot(dr_tot_b, qb)
- xeb = xb1 + (cx - xb1) / dist((cx, cy), pb1) * drb
- yeb = yb1 + (cy - yb1) / dist((cx, cy), pb1) * drb
+ xeb = xb1 - nrbx*drb
+ yeb = yb1 - nrby*drb
- xsa = xma - xra*dr_tot_a
- ysa = yma - yra*dr_tot_a
+ xsa = xma - xna*dr_tot_a
+ ysa = yma - yna*dr_tot_a
- xsb = xmb - xrb*dr_tot_b
- ysb = ymb - yrb*dr_tot_b
+ xsb = xmb - xnb*dr_tot_b
+ ysb = ymb - ynb*dr_tot_b
l1 = (xsa, ysa), (xea, yea)
l2 = (xsb, ysb), (xeb, yeb)
- dbg_lines.append(l1)
- dbg_lines.append(l2)
+ dbg_lines1.append(l1)
+ dbg_lines2.append(l2)
pic = line_line_intersection(l1, l2)
spiral_points.append(pic)
@@ -172,13 +183,18 @@ def generate(infile, outfile, polygon, start_angle, stop_radius, trace_width, cl
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" 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')
+
+ for (x1, y1), (x2, y2) in dbg_lines1:
+ f.write(f'<path fill="none" stroke="#ff0000" opacity="0.2" stroke-width="0.05" d="M {x1} {y1} L {x2} {y2}"/>')
+
+ for (x1, y1), (x2, y2) in dbg_lines2:
+ f.write(f'<path fill="none" stroke="#0000ff" opacity="0.2" stroke-width="0.05" d="M {x1} {y1} L {x2} {y2}"/>')
+
+ for x, y in midpoints:
f.write(f'<path fill="none" stroke="#a0a0ff" stroke-width="0.05" d="M {cx} {cy} L {x} {y}"/>')
+ f.write(f'<circle r="0.1" fill="blue" stroke="none" cx="{x}" cy="{y}"/>\n')
- 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(f'<circle r="0.1" fill="red" stroke="none" cx="{cx}" cy="{cy}"/>\n')
f.write('</svg>\n')
if __name__ == '__main__':