| Copyright | (c) Conal Elliott 2008 |
|---|---|
| License | BSD3 |
| Maintainer | conal@conal.net |
| Stability | experimental |
| Safe Haskell | Safe |
| Language | Haskell98 |
Data.Basis
Description
Basis of a vector space, as an associated type This module requires ghc-6.10 or later
- class VectorSpace v => HasBasis v where
- type Basis v :: *
- basisValue :: Basis v -> v
- decompose :: v -> [(Basis v, Scalar v)]
- decompose' :: v -> Basis v -> Scalar v
- linearCombo :: VectorSpace v => [(v, Scalar v)] -> v
- recompose :: HasBasis v => [(Basis v, Scalar v)] -> v
Documentation
class VectorSpace v => HasBasis v where
Methods
basisValue :: Basis v -> v
Interpret basis rep as a vector
decompose :: v -> [(Basis v, Scalar v)]
Extract coordinates
decompose' :: v -> Basis v -> Scalar v
Experimental version. More elegant definitions, and friendly to infinite-dimensional vector spaces.
Instances
linearCombo :: VectorSpace v => [(v, Scalar v)] -> v
Linear combination of vectors