sorbetto.geometry.line module

class sorbetto.geometry.line.Line(a: float, b: float, c: float, name: str | None = None)[source]

This class is used to represent a line. \(a x + b y + c = 0\) See https://en.wikipedia.org/wiki/Line_(geometry)

property a: float

The parameter \(a\) of the line \(a x + b y + c = 0\)

property b: float

The parameter \(b\) of the line \(a x + b y + c = 0\)

property c: float

The parameter \(c\) of the line \(a x + b y + c = 0\)

draw(fig: Figure, ax: Axes, extent, **plt_kwargs)[source]

Draws the part of the line that is within some axis-aligned box in some given Pyplot axes.

Parameters:

fig (_type_) – a Pyplot Figure object
ax (_type_) – a Pyplot Axes object
extent (_type_) – the axis-aligned box \((x_{min}, x_{max}, y_{min}, y_{max})\)
plt_kwargs – options for Pyplot’s plot command.

getIntersectionWithAxisAlignedBox(extent) → LineSegment | Point | None[source]

Computes the intersection of the line with any given axis-aligned box.

Parameters:: extent (_type_) – the axis-aligned box \((x_{min}, x_{max}, y_{min}, y_{max})\)
Returns:: the intersection, or None if there is no intersection.
Return type:: LineSegment | Point | None

getIntersectionWithLine(other: Self) → Self | Point | None[source]

Computes the intersection of the line with another one.

getNormalized() → Self[source]

Computes the normalized form of the line, that is \(a' x + b' y + c' = 0\) such that \(a'^2 + b'^2 = 1\) and \((a',b',c') \propto (a,b,c)\).