Geometries

class PointNum(x, y)

Bases: object

Numerical point.

angle()

Return type:: float

close_enough(point)

Return type:: bool

distance(p)

Return type:: float

distance2(p)

Return type:: float

rot90()

Return type:: PointNum

rotatea(ang)

Return type:: PointNum

rotate(sinb, cosb)

Return type:: PointNum

flip()

Return type:: PointNum

perpendicular_line(line)

Return type:: LineNum

foot(line)

Return type:: PointNum

parallel_line(line)

Return type:: LineNum

dot(other)

Return type:: float

classmethod deduplicate(points)

Return type:: list[PointNum]

intersect(obj)

Return type:: list[PointNum]

class FormNum

Bases: ABC

abstractmethod sample_within(points, *, trials=5, rng)

Return type:: PointNum

class LineNum(p1=None, p2=None, coefficients=None)

Bases: FormNum

Numerical line.

parallel_line(p)

Return type:: LineNum

perpendicular_line(p)

Return type:: LineNum

same(other)

Return type:: bool

distance(p)

Return type:: float

is_parallel(other)

Return type:: bool

is_perp(other)

Return type:: bool

point_at(x=None, y=None)

Infer the point on the line by its x and/or y coordinate(s)

Return type:: Optional[PointNum]

diff_side(p1, p2)

Return type:: bool

same_side(p1, p2)

Return type:: bool

sample_within(points, *, trials=5, rng)

Sample a point within the boundary of points.

Return type:: PointNum

angle()

Return type:: float

class CircleNum(center=None, radius=None, p1=None, p2=None, p3=None)

Bases: FormNum

Numerical circle.

sample_within(points, *, trials=5, rng)

Sample a point within the boundary of points.

Return type:: PointNum

perpendicular_bisector(p1, p2)

Return type:: LineNum

exception InvalidIntersectError: Bases: Exception

exception InvalidReduceError: Bases: Exception

solve_quad(a, b, c)

Solve a x^2 + bx + c = 0.

Return type:: tuple[float, ...]

intersect(a, b)

circle_circle_intersection(c1, c2)

Returns a pair of Points as intersections of c1 and c2.

Return type:: tuple[PointNum, ...]

line_circle_intersection(line, circle)

Return type:: tuple[PointNum, ...]

circle_segment_intersect(circle, p1, p2)

Return type:: tuple[PointNum, ...]

line_line_intersection(line_1, line_2)

Return type:: tuple[PointNum, ...]

reduce(objs, existing_points, rng)

If all PointNum, then no touch. Else reduce intersecting objects into one point of intersections other than the existing points.

Return type:: tuple[PointNum, ...]