Numeric.EMD.Internal.Spline

Internal splining functionality exported for testing purposes only. This will likely go away in future versions, so please do not depend on this!

Documentation

data Spline a

1D Cubic spline

data SplineEnd a

End condition for spline

Constructors

SENotAKnot

"Not-a-knot" condition: third derivatives are continuous at endpoints. Default for matlab spline.

SENatural

"Natural" condition: curve becomes a straight line at endpoints.

SEClamped a a

"Clamped" condition: Slope of curves at endpoints are explicitly given.

Since: emd-0.1.2.0

Instances

Eq a => Eq (SplineEnd a)

Defined in Numeric.EMD.Internal.Spline

Methods

(==) :: SplineEnd a -> SplineEnd a -> Bool

(/=) :: SplineEnd a -> SplineEnd a -> Bool

Ord a => Ord (SplineEnd a)

Defined in Numeric.EMD.Internal.Spline

Methods

compare :: SplineEnd a -> SplineEnd a -> Ordering

(<) :: SplineEnd a -> SplineEnd a -> Bool

(<=) :: SplineEnd a -> SplineEnd a -> Bool

(>) :: SplineEnd a -> SplineEnd a -> Bool

(>=) :: SplineEnd a -> SplineEnd a -> Bool

max :: SplineEnd a -> SplineEnd a -> SplineEnd a

min :: SplineEnd a -> SplineEnd a -> SplineEnd a

Show a => Show (SplineEnd a)

Defined in Numeric.EMD.Internal.Spline

Methods

showsPrec :: Int -> SplineEnd a -> ShowS

show :: SplineEnd a -> String

showList :: [SplineEnd a] -> ShowS

Generic (SplineEnd a)

Defined in Numeric.EMD.Internal.Spline

Associated Types

type Rep (SplineEnd a) :: * -> *

Methods

from :: SplineEnd a -> Rep (SplineEnd a) x

to :: Rep (SplineEnd a) x -> SplineEnd a

Binary a => Binary (SplineEnd a)

Since: emd-0.1.3.0

Defined in Numeric.EMD.Internal.Spline

Methods

put :: SplineEnd a -> Put

get :: Get (SplineEnd a)

putList :: [SplineEnd a] -> Put

type Rep (SplineEnd a)

Defined in Numeric.EMD.Internal.Spline

type Rep (SplineEnd a) = D1 (MetaData "SplineEnd" "Numeric.EMD.Internal.Spline" "emd-0.1.4.0-H6PjqqQcZoREuq6F4k90ku" False) (C1 (MetaCons "SENotAKnot" PrefixI False) (U1 :: * -> *) :+: (C1 (MetaCons "SENatural" PrefixI False) (U1 :: * -> *) :+: C1 (MetaCons "SEClamped" PrefixI False) (S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a) :*: S1 (MetaSel (Nothing :: Maybe Symbol) NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 a))))

makeSpline

Arguments

:: (Ord a, Fractional a)

=> SplineEnd a

-> Map a a

(x, y)

-> Maybe (Spline a)

Build a cubic spline based on control points using given end conditions (not-a-knot, or natural)

https://en.wikipedia.org/wiki/Spline_interpolation

sampleSpline :: (Fractional a, Ord a) => Spline a -> a -> a

Sample a spline at a given point.