PiecewiseMap

PiecewiseMap(breaks, maps, source_unit=None, target_unit=None, uid=None)

Map defined by different maps on different intervals.

Also known as ConcatenationMap. Defined by a set of break points and the maps to use between them.

Intervals are [start, end).

Attributes: breaks: Sorted list of break points. N breaks define N+1 regions (or N regions). Here we strictly define regions between breaks. If we have breaks [0, 10, 20], we have regions [0, 10) and [10, 20). Anything outside is handled by ‘extrapolate’ or explicit outer maps. maps: Maps for each interval. len(maps) must be len(breaks) - 1.

Attributes

Name	Description
breaks	The interval boundaries.
maps	The maps for each interval.

Methods

Name	Description
from_dict	Deserialize from dictionary.
inverse	Return the inverse map.
to_dict	Serialize to dictionary.

from_dict

PiecewiseMap.from_dict(data)

Deserialize from dictionary.

inverse

PiecewiseMap.inverse()

Return the inverse map.

Requires all sub-maps to be invertible and the resulting target intervals to be contiguous. This is non-trivial if the target intervals don’t line up. For now, we implement the naive inversion: Convert breaks using forward maps to get new breaks, invert maps.

to_dict

PiecewiseMap.to_dict()

Serialize to dictionary.