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Ganja.Spacetime

Clifford Algebra: Spacetime

Generated with ganja.js written by enki.

Basis

type SpacetimeBasis

= Scalar

| E1

| E2

| E3

| E4

| E12

| E13

| E14

| E23

| E24

| E34

| E123

| E124

| E134

| E234

| E1234

Basis type

basisList : List SpacetimeBasis

Basis list

basisCount : Int

Number of coefficients

basisName : SpacetimeBasis -> String

Basis name

Multivector

= Spacetime

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Multivector

zero : Spacetime

Zero value

get : SpacetimeBasis -> Spacetime -> Float

Get coefficient

set : SpacetimeBasis -> Float -> Spacetime -> Spacetime

Update coefficient

new : Float -> SpacetimeBasis -> Spacetime

Multivector with one coefficient

Basis multivectors

unitScalar : Spacetime

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Basis multivector

e12 : Spacetime

Basis multivector

e13 : Spacetime

Basis multivector

e14 : Spacetime

Basis multivector

e23 : Spacetime

Basis multivector

e24 : Spacetime

Basis multivector

e34 : Spacetime

Basis multivector

e123 : Spacetime

Basis multivector

e124 : Spacetime

Basis multivector

e134 : Spacetime

Basis multivector

e234 : Spacetime

Basis multivector

e1234 : Spacetime

Basis multivector

Conversion

toString : Spacetime -> String

Convert multivector to string

fromList : List Float -> Maybe Spacetime

Convert list of coefficients to multivector

toList : Spacetime -> List Float

Convert multivector to list of coefficients

Unary Operators

reverse : Spacetime -> Spacetime

Reverse the order of the basis blades.

dual : Spacetime -> Spacetime

Poincare duality operator.

conjugate : Spacetime -> Spacetime

Clifford Conjugation

involute : Spacetime -> Spacetime

Main involution

Binary Operators

mul : Spacetime -> Spacetime -> Spacetime

The geometric product.

wedge : Spacetime -> Spacetime -> Spacetime

The outer product. (MEET)

vee : Spacetime -> Spacetime -> Spacetime

The regressive product. (JOIN)

dot : Spacetime -> Spacetime -> Spacetime

The inner product.

add : Spacetime -> Spacetime -> Spacetime

Multivector addition

sub : Spacetime -> Spacetime -> Spacetime

Multivector subtraction

smul : Float -> Spacetime -> Spacetime

scalar/multivector multiplication

muls : Spacetime -> Float -> Spacetime

multivector/scalar multiplication

sadd : Float -> Spacetime -> Spacetime

scalar/multivector addition

adds : Spacetime -> Float -> Spacetime

multivector/scalar addition

ssub : Float -> Spacetime -> Spacetime

scalar/multivector subtraction

subs : Spacetime -> Float -> Spacetime

multivector/scalar subtraction

Norm

norm : Spacetime -> Float

Norm

inorm : Spacetime -> Float

Norm of dual

normalized : Spacetime -> Spacetime

Normalized multivector

Modules