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Up to group structure description of efvgt

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This commit is contained in:
Grant Sanderson
2017-02-24 19:37:40 -08:00
parent be56ffa687
commit 79435859de
3 changed files with 597 additions and 28 deletions
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10
helpers.py
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@ -325,16 +325,14 @@ def path_along_arc(arc_angle, axis = OUT):
"""
if abs(arc_angle) < STRAIGHT_PATH_THRESHOLD:
return straight_path
unit_axis = axis/np.linalg.norm(axis)
def path(start_points, end_points, alpha):
vects = end_points - start_points
centers = start_points + 0.5*vects
if arc_angle != np.pi:
for i, b in [(0, -1), (1, 1)]:
centers[:,i] += 0.5*b*vects[:,1-i]/np.tan(arc_angle/2)
return centers + np.dot(
start_points-centers,
np.transpose(rotation_matrix(alpha*arc_angle, axis))
)
centers += np.cross(unit_axis, vects/2.0)/np.tan(arc_angle/2)
rot_matrix = rotation_matrix(alpha*arc_angle, unit_axis)
return centers + np.dot(start_points-centers, rot_matrix.T)
return path
def clockwise_path():