Copyright	(C) 2012-2015 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	experimental
Portability	non-portable
Safe Haskell	Safe
Language	Haskell98

Linear.Trace

Description

Simple matrix operation for low-dimensional primitives.

Documentation

class Functor m => Trace m where Source

Minimal complete definition

Nothing

Methods

trace :: Num a => m (m a) -> a Source

Compute the trace of a matrix

>>> trace (V2 (V2 a b) (V2 c d))
a + d

diagonal :: m (m a) -> m a Source

Compute the diagonal of a matrix

>>> diagonal (V2 (V2 a b) (V2 c d))
V2 a d

Instances

Trace Complex Source
Trace IntMap Source
Trace V0 Source
Trace V1 Source
Trace V2 Source
Trace V3 Source
Trace V4 Source
Trace Plucker Source
Trace Quaternion Source
Ord k => Trace (Map k) Source
(Eq k, Hashable k) => Trace (HashMap k) Source
(Distributive g, Trace g, Trace f) => Trace (Compose g f) Source
(Trace f, Trace g) => Trace (Product f g) Source
Dim * n => Trace (V * n) Source