learn-physics-0.6.0.0: Haskell code for learning physics

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

# Documentation

data Vec Source

A type for vectors.

Instances

 Source Source Source type Scalar Vec = Double type Diff Vec = Vec Source

x component

y component

z component

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 6 Source

(^-^) :: Vec -> Vec -> Vec infixl 6 Source

Vector subtraction.

(*^) :: Double -> Vec -> Vec infixl 7 Source

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

(^*) :: Vec -> Double -> Vec infixl 7 Source

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

(^/) :: Vec -> Double -> Vec infixl 7 Source

Division of a vector by a scalar.

(<.>) :: Vec -> Vec -> Double infixl 7 Source

Dot product of two vectors.

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

Cross product.

Magnitude of a vector.

The zero vector.

The additive inverse of a vector.

sumV :: [Vec] -> Vec Source

Sum of a list of vectors.

Unit vector in the x direction.

Unit vector in the y direction.

Unit vector in the z direction.