batgrl.geometry.basic

Basic geometry functions and types.

Functions

clamp(value, min, max)	If value is less than min, returns min; else if max is less than value, returns max; else returns value.
lerp(a, b, p)	Linear interpolation of a to b with proportion p.
points_on_circle(n[, radius, center, offset])	Return n points on a circle.
rect_slice(pos, size)	Return slices for indexing a rect in a numpy array.
round_down(n)	Like the built-in round, but always rounds down.

Classes

Point(y, x)	A 2-d point.
Size(height, width)	A rectangular area.

class batgrl.geometry.basic.Point(y: int, x: int)

Bases: NamedTuple

A 2-d point.

Note that y-coordinate is before x-coordinate. This convention is used so that the 2-d arrays that underly a gadget’s data can be directly indexed with the point.

Parameters:

yint

y-coordinate of point.

xint

x-coordinate of point.

Attributes:

yint

y-coordinate of point.

xint

x-coordinate of point.

x: int

x-coordinate of point.

y: int

y-coordinate of point.

class batgrl.geometry.basic.Size(height: int, width: int)

Bases: NamedTuple

A rectangular area.

Parameters:

heightint

Height of area.

widthint

Width of area.

Attributes:

heightint

Height of area.

widthint

Width of area.

rowsint

Alias for height.

columnsint

Alias for width.

centerPoint

Center of area.

property center: Point

Center of area.

property columns: int

Alias for width.

height: int

Height of area.

property rows: int

Alias for height.

width: int

Width of area.

batgrl.geometry.basic.clamp(value: T, min: T | None, max: T | None) → T

If value is less than min, returns min; else if max is less than value, returns max; else returns value. A one-sided clamp is possible by setting min or max to None.

Parameters:

valueT

Value to clamp.

minT | None

Minimum of clamped value.

maxT | None

Maximum of clamped value.

Returns:

T

A value between min and max, inclusive.

batgrl.geometry.basic.lerp(a: float, b: float, p: float) → float

Linear interpolation of a to b with proportion p.

batgrl.geometry.basic.points_on_circle(n: int, radius: float = 1.0, center: tuple[float, float] = (0.0, 0.0), offset: float = 0.0) → ndarray[tuple[int, Literal[2]], dtype[float64]]

Return n points on a circle.

Parameters:

nint

Number of points on a circle.

radiusfloat, default: 1.0

Radius of circle.

centertuple[float, float], default: (0.0, 0.0)

Center of circle.

offsetfloat, default: 0.0

Rotate output points by offset radians.

Returns:

Coords

An (n, 2)-shaped array of evenly-spaced points on a circle.

batgrl.geometry.basic.rect_slice(pos: Pointlike, size: Sizelike) → tuple[slice[int, int, None], slice[int, int, None]]

Return slices for indexing a rect in a numpy array.

Parameters:

posPointlike

Position of rect.

sizeSizelike

Size of rect.

Returns:

tuple[slice[int, int, None], slice[int, int, None]]

Slices that index a rect in a numpy array.

batgrl.geometry.basic.round_down(n: float) → int

Like the built-in round, but always rounds down.

Used instead of round for smoother geometry.