Copyright	(c) Scott N. Walck 2012-2019
License	BSD3 (see LICENSE)
Maintainer	Scott N. Walck <walck@lvc.edu>
Stability	experimental
Safe Haskell	Safe
Language	Haskell98

Physics.Learn.SimpleVec

Description

Basic operations on the vector type Vec, such as vector addition and scalar multiplication. This module is simple in the sense that the operations on vectors all have simple, concrete types, without the need for type classes. This makes using and reasoning about vector operations easier for a person just learning Haskell.

Synopsis

data Vec
type R = Double
xComp :: Vec -> R
yComp :: Vec -> R
zComp :: Vec -> R
vec :: R -> R -> R -> Vec
(^+^) :: Vec -> Vec -> Vec
(^-^) :: Vec -> Vec -> Vec
(*^) :: R -> Vec -> Vec
(^*) :: Vec -> R -> Vec
(^/) :: Vec -> R -> Vec
(<.>) :: Vec -> Vec -> R
(><) :: Vec -> Vec -> Vec
magnitude :: Vec -> R
zeroV :: Vec
negateV :: Vec -> Vec
sumV :: [Vec] -> Vec
iHat :: Vec
jHat :: Vec
kHat :: Vec

Documentation

data Vec Source #

A type for vectors.

Instances

Eq Vec Source #
Instance details Defined in Physics.Learn.CommonVec Methods (==) :: Vec -> Vec -> Bool # (/=) :: Vec -> Vec -> Bool #
Show Vec Source #
Instance details Defined in Physics.Learn.CommonVec Methods showsPrec :: Int -> Vec -> ShowS # show :: Vec -> String # showList :: [Vec] -> ShowS #
VectorSpace Vec Source #
Instance details Defined in Physics.Learn.CarrotVec Associated Types type Scalar Vec :: Type # Methods (*^) :: Scalar Vec -> Vec -> Vec #
InnerSpace Vec Source #
Instance details Defined in Physics.Learn.CarrotVec Methods (<.>) :: Vec -> Vec -> Scalar Vec #
AdditiveGroup Vec Source #
Instance details Defined in Physics.Learn.CarrotVec Methods zeroV :: Vec # (^+^) :: Vec -> Vec -> Vec # negateV :: Vec -> Vec # (^-^) :: Vec -> Vec -> Vec #
StateSpace Vec Source #
Instance details Defined in Physics.Learn.StateSpace Associated Types type Diff Vec :: Type Source # Methods (.-.) :: Vec -> Vec -> Diff Vec Source # (.+^) :: Vec -> Diff Vec -> Vec Source #
type Scalar Vec Source #
Instance details Defined in Physics.Learn.CarrotVec type Scalar Vec = R
type Diff Vec Source #
Instance details Defined in Physics.Learn.StateSpace type Diff Vec = Vec