Physics.Learn.CommonVec

This module defines some common vector operations. It is intended that this module not be imported directly, but that its functionality be gained by importing either SimpleVec or CarrotVec, but not both. Choose SimpleVec for vector operations (such as vector addition) with simple concrete types, which work only with the type Vec of three-dimensional vectors. Choose CarrotVec for vector operations that work with any type in the appropriate type class.

Documentation

data Vec

A type for vectors.

Constructors

Vec

Fields

• xComp :: Double

  x component

• yComp :: Double

  y component

• zComp :: Double

  z component

Instances

Eq Vec

Defined in Physics.Learn.CommonVec

Methods

(==) :: Vec -> Vec -> Bool

(/=) :: Vec -> Vec -> Bool

Show Vec

Defined in Physics.Learn.CommonVec

Methods

showsPrec :: Int -> Vec -> ShowS

show :: Vec -> String

showList :: [Vec] -> ShowS

VectorSpace Vec

Defined in Physics.Learn.CarrotVec

Associated Types

type Scalar Vec :: Type

Methods

(*^) :: Scalar Vec -> Vec -> Vec

InnerSpace Vec

Defined in Physics.Learn.CarrotVec

Methods

(<.>) :: Vec -> Vec -> Scalar Vec

AdditiveGroup Vec

Defined in Physics.Learn.CarrotVec

Methods

zeroV :: Vec

(^+^) :: Vec -> Vec -> Vec

negateV :: Vec -> Vec

(^-^) :: Vec -> Vec -> Vec

StateSpace Vec

Defined in Physics.Learn.StateSpace

Associated Types

type Diff Vec :: Type

Methods

(.-.) :: Vec -> Vec -> Diff Vec

(.+^) :: Vec -> Diff Vec -> Vec

type Scalar Vec

Defined in Physics.Learn.CarrotVec

type Scalar Vec = Double

type Diff Vec

Defined in Physics.Learn.StateSpace

type Diff Vec = Vec

vec

Arguments

:: Double

x component

-> Double

y component

-> Double

z component

-> Vec

Form a vector by giving its x, y, and z components.

(><) :: Vec -> Vec -> Vec infixl 7

Cross product.

iHat :: Vec

Unit vector in the x direction.

jHat :: Vec

Unit vector in the y direction.

kHat :: Vec

Unit vector in the z direction.