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Horocycle.from_center_point() #23

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Horocycle.from_center_point() #23

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8 changes: 8 additions & 0 deletions hyperbolic/poincare/horocycle.py
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Original file line number Diff line number Diff line change
Expand Up @@ -4,6 +4,7 @@
from ..euclid import Circle as ECircle
from .util import radial_euclid_to_poincare, radial_poincare_to_euclid
from . import point
from .transform import Transform


class Horocycle:
Expand Down Expand Up @@ -39,6 +40,13 @@ def from_closest_point(pt, surround_origin=False, cw=True):
return Horocycle(
shape, closest_point=pt, surround_origin=surround_origin)
@classmethod
def from_center_point(cls,center,pt,cw = True):
theta = math.atan2(center.y,center.x)
rot = Transform.rotation(rad=-theta)
rpt = rot.apply_to_point(pt)
d = (rpt.x**2 + rpt.y**2 - rpt.x)/(rpt.x - 1)
return cls.from_closest_point_e_polar(d,theta,cw = cw)
@classmethod
def from_closest_point_h_polar(cls, hr, theta, cw=True):
p = point.Point.from_h_polar(hr, theta)
return cls.from_closest_point(p, surround_origin=hr<0, cw=cw)
Expand Down