pythagoras.curve module

class pythagoras.curve.Arc(o: tuple[float, float], p: tuple[float, float], theta: float, zord: int = 0)[source]

Bases: PObject

An arc of a circle.

Variables:

  • o (tuple[float, float]) – Center of the circle in which the arc is contained.

  • p (tuple[float, float]) – Starting point of the arc.

  • theta (float) – Angle spanned by the arc.

property end_point: tuple[float, float]

Compute the end point of the arc.

extrema() → list[tuple[float, float]][source]

Computes the furthermost points of the figure.

Returns:

A list with the bounding points of the object.

classmethod from_three_points(p1: tuple[float, float], p2: tuple[float, float], p3: tuple[float, float], zord: int = 0) → Self[source]

Construct the arc that passes through three points.

Parameters:

  • p1 – First point.

  • p2 – Second point.

  • p3 – Third point.

  • zord – Rendering priority (see PObject._zord).

Returns:

An instance of Arc.

classmethod from_two_points_and_angle(p1: tuple[float, float], p2: tuple[float, float], theta: float, zord: int = 0) → Self[source]

Construct the arc that passes through two points and spans a given angle.

Parameters:

  • p1 – First point.

  • p2 – Second point.

  • theta – Angle spanned.

  • zord – Rendering priority (see PObject._zord).

Returns:

An instance of Arc.

o: tuple[float, float]
p: tuple[float, float]
property radius: float

Gives the radius of the circle in which the arc is contained.

svg(ctx: RenderingContext, *args: POProperty) → str[source]

Compiles the object into SVG commands.

Parameters:

  • ctx – Context associated with the Canvas instance.

  • args – Properties of the object.

Returns:

The corresponding SVG code.

theta: float
tikz(ctx: RenderingContext, *args: POProperty) → str[source]

Compiles the object into a sequence of TikZ instructions.

Parameters:

  • ctx – Context associated with the Canvas instance.

  • args – Properties of the object.

Returns:

The resulting TikZ code.

class pythagoras.curve.Parametric(f: Callable[[float], tuple[float, float]], a: float, b: float, dt: float = 0, zord: int = 0)[source]

Bases: PObject

Curve traced by a parametric function.

Variables:

  • f (collections.abc.Callable[[float], tuple[float, float]]) – The function which determines the shape.

  • a (float) – Start of the time domain.

  • b (float) – End of the time domain.

  • dt (float) – Increment in time between each point. If it is less than or equal to zero, the time domain will be split into 100 intervals.

a: float
b: float
dt: float
extrema() → list[tuple[float, float]][source]

Computes the furthermost points of the figure.

Returns:

A list with the bounding points of the object.

f: Callable[[float], tuple[float, float]]
make_points() → list[tuple[float, float]][source]

Compute the positions of each of the samples of the curve.

Returns:

List containing the sampled points.

svg(ctx: RenderingContext, *args: POProperty) → str[source]

Compiles the object into SVG commands.

Parameters:

  • ctx – Context associated with the Canvas instance.

  • args – Properties of the object.

Returns:

The corresponding SVG code.

tikz(ctx: RenderingContext, *args: POProperty) → str[source]

Compiles the object into a sequence of TikZ instructions.

Parameters:

  • ctx – Context associated with the Canvas instance.

  • args – Properties of the object.

Returns:

The resulting TikZ code.