intersection¶

emlib.mathlib.intersection(u1, u2, v1, v2)[source]¶

return the intersection of (u1, u2) and (v1, v2) or None if no intersection

Parameters:

u1 (TypeVar(T, bound= Union[Rational, float])) – lower bound of range U
u2 (TypeVar(T, bound= Union[Rational, float])) – higher bound of range U
v1 (TypeVar(T, bound= Union[Rational, float])) – lower bound of range V
v2 (TypeVar(T, bound= Union[Rational, float])) – higher bound of range V

Return type:

tuple[Optional[TypeVar(T, bound= Union[Rational, float])], TypeVar(T, bound= Union[Rational, float])]

Returns:

the intersection between range U and range V as a tuple (start, end). If no intersection is found, start will be None.

Example:

>>> x0, x1 = intersection(0, 3, 2, 5)
>>> if x0 is not None:
...     # there is an intersection