Data.StepFunction

Functions for dealing with step functions

Documentation

data Transition x y

A Transition, for a certain value on the x axis, there is a new y value.

Constructors

Transition

Fields

x_val :: x

The x value where the transition happens

y_val :: y

The new y value

left_closed :: Bool

If True, y_val is for all x >= x_val, otherwise for all x > x_val

Instances

Functor (Transition x)

(Eq x, Eq y) => Eq (Transition x y)

(Ord x, Eq y) => Ord (Transition x y)

(Show x, Show y) => Show (Transition x y)

data StepFunction x y

A StepFunction is implemented as a default value and a sorted list of Transitions

Instances

(Eq x, Eq y) => Eq (StepFunction x y)

(Show x, Show y) => Show (StepFunction x y)

mkStepFunction :: (Ord x, Eq y) => y -> [Transition x y] -> StepFunction x y

Smart constructor sorts and simplifies the list of transitions

valAt :: Ord x => x -> StepFunction x y -> y

Get the y value for a given x

transitions :: StepFunction x y -> [Transition x y]

merge :: (Ord x, Eq c) => (a -> b -> c) -> StepFunction x a -> StepFunction x b -> StepFunction x c

Merge two step function, such that the following should be true:

valAt x (merge f sf1 sf2) == f (valAt x sf1) (valAt x sf2)

The resulting step function will be simplified, transitions that don't change the y value will be eliminated, and transitions that happen on the same x position will be eliminated.