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Ganja.Cga

Clifford Algebra: Cga

Generated with ganja.js written by enki.

Basis

= Scalar

| E1

| E2

| E3

| E4

| E5

| E12

| E13

| E14

| E15

| E23

| E24

| E25

| E34

| E35

| E45

| E123

| E124

| E125

| E134

| E135

| E145

| E234

| E235

| E245

| E345

| E1234

| E1235

| E1245

| E1345

| E2345

| E12345

Basis type

basisList : List CgaBasis

Basis list

basisCount : Int

Number of coefficients

basisName : CgaBasis -> String

Basis name

Multivector

type Cga

= Cga

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Float

Multivector

Zero value

get : CgaBasis -> Cga -> Float

Get coefficient

set : CgaBasis -> Float -> Cga -> Cga

Update coefficient

new : Float -> CgaBasis -> Cga

Multivector with one coefficient

Basis multivectors

unitScalar : Cga

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

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 : Cga -> String

Convert multivector to string

fromList : List Float -> Maybe Cga

Convert list of coefficients to multivector

toList : Cga -> List Float

Convert multivector to list of coefficients

Unary Operators

reverse : Cga -> Cga

Reverse the order of the basis blades.

dual : Cga -> Cga

Poincare duality operator.

conjugate : Cga -> Cga

Clifford Conjugation

involute : Cga -> Cga

Main involution

Binary Operators

mul : Cga -> Cga -> Cga

The geometric product.

wedge : Cga -> Cga -> Cga

The outer product. (MEET)

vee : Cga -> Cga -> Cga

The regressive product. (JOIN)

dot : Cga -> Cga -> Cga

The inner product.

add : Cga -> Cga -> Cga

Multivector addition

sub : Cga -> Cga -> Cga

Multivector subtraction

smul : Float -> Cga -> Cga

scalar/multivector multiplication

muls : Cga -> Float -> Cga

multivector/scalar multiplication

sadd : Float -> Cga -> Cga

scalar/multivector addition

adds : Cga -> Float -> Cga

multivector/scalar addition

ssub : Float -> Cga -> Cga

scalar/multivector subtraction

subs : Cga -> Float -> Cga

multivector/scalar subtraction

Norm

norm : Cga -> Float

Norm

inorm : Cga -> Float

Norm of dual

normalized : Cga -> Cga

Normalized multivector

Modules