Physics.Learn.SimpleVec

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.

Documentation

data Vec

A type for vectors.

Instances

Eq Vec

Show Vec

VectorSpace Vec

InnerSpace Vec

AdditiveGroup Vec

StateSpace Vec

xComp :: Vec -> Double

x component

yComp :: Vec -> Double

y component

zComp :: Vec -> Double

z component

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

Vector addition.

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

Vector subtraction.

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

Scalar multiplication, where the scalar is on the left and the vector is on the right.

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

Scalar multiplication, where the scalar is on the right and the vector is on the left.

(^/) :: Vec -> Double -> Vec

Division of a vector by a scalar.

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

Dot product of two vectors.

(><) :: Vec -> Vec -> Vec

Cross product.

magnitude :: Vec -> Double

Magnitude of a vector.

zeroV :: Vec

The zero vector.

negateV :: Vec -> Vec

The additive inverse of a vector.

sumV :: [Vec] -> Vec

Sum of a list of vectors.

iHat :: Vec

Unit vector in the x direction.

jHat :: Vec

Unit vector in the y direction.

kHat :: Vec

Unit vector in the z direction.