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Ganja.Pga3d

Clifford Algebra: Pga3d

Generated with ganja.js written by enki.

Basis

type Pga3dBasis

= Scalar

| E0

| E1

| E2

| E3

| E01

| E02

| E03

| E12

| E31

| E23

| E021

| E013

| E032

| E123

| E0123

Basis type

basisList : List Pga3dBasis

Basis list

basisCount : Int

Number of coefficients

basisName : Pga3dBasis -> String

Basis name

Multivector

type Pga3d

= Pga3d

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Multivector

Zero value

get : Pga3dBasis -> Pga3d -> Float

Get coefficient

set : Pga3dBasis -> Float -> Pga3d -> Pga3d

Update coefficient

new : Float -> Pga3dBasis -> Pga3d

Multivector with one coefficient

Basis multivectors

unitScalar : Pga3d

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Basis multivector

Conversion

toString : Pga3d -> String

Convert multivector to string

fromList : List Float -> Maybe Pga3d

Convert list of coefficients to multivector

toList : Pga3d -> List Float

Convert multivector to list of coefficients

Unary Operators

reverse : Pga3d -> Pga3d

Reverse the order of the basis blades.

dual : Pga3d -> Pga3d

Poincare duality operator.

conjugate : Pga3d -> Pga3d

Clifford Conjugation

involute : Pga3d -> Pga3d

Main involution

Binary Operators

mul : Pga3d -> Pga3d -> Pga3d

The geometric product.

wedge : Pga3d -> Pga3d -> Pga3d

The outer product. (MEET)

vee : Pga3d -> Pga3d -> Pga3d

The regressive product. (JOIN)

dot : Pga3d -> Pga3d -> Pga3d

The inner product.

add : Pga3d -> Pga3d -> Pga3d

Multivector addition

sub : Pga3d -> Pga3d -> Pga3d

Multivector subtraction

smul : Float -> Pga3d -> Pga3d

scalar/multivector multiplication

muls : Pga3d -> Float -> Pga3d

multivector/scalar multiplication

sadd : Float -> Pga3d -> Pga3d

scalar/multivector addition

adds : Pga3d -> Float -> Pga3d

multivector/scalar addition

ssub : Float -> Pga3d -> Pga3d

scalar/multivector subtraction

subs : Pga3d -> Float -> Pga3d

multivector/scalar subtraction

Norm

norm : Pga3d -> Float

Norm

inorm : Pga3d -> Float

Norm of dual

normalized : Pga3d -> Pga3d

Normalized multivector

Modules