Clifford Algebra: R2
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Basis type
basisList : List R2Basis
Basis list
basisCount : Basics.Int
Number of coefficients
basisName : R2Basis -> String
Basis name
Multivector
zero : R2
Zero value
get : R2Basis -> R2 -> Basics.Float
Get coefficient
set : R2Basis -> Basics.Float -> R2 -> R2
Update coefficient
new : Basics.Float -> R2Basis -> R2
Multivector with one coefficient
unitScalar : R2
Basis multivector
e1 : R2
Basis multivector
e2 : R2
Basis multivector
e12 : R2
Basis multivector
toString : R2 -> String
Convert multivector to string
fromList : List Basics.Float -> Maybe R2
Convert list of coefficients to multivector
toList : R2 -> List Basics.Float
Convert multivector to list of coefficients
reverse : R2 -> R2
Reverse the order of the basis blades.
dual : R2 -> R2
Poincare duality operator.
conjugate : R2 -> R2
Clifford Conjugation
involute : R2 -> R2
Main involution
mul : R2 -> R2 -> R2
The geometric product.
wedge : R2 -> R2 -> R2
The outer product. (MEET)
vee : R2 -> R2 -> R2
The regressive product. (JOIN)
dot : R2 -> R2 -> R2
The inner product.
add : R2 -> R2 -> R2
Multivector addition
sub : R2 -> R2 -> R2
Multivector subtraction
smul : Basics.Float -> R2 -> R2
scalar/multivector multiplication
muls : R2 -> Basics.Float -> R2
multivector/scalar multiplication
sadd : Basics.Float -> R2 -> R2
scalar/multivector addition
adds : R2 -> Basics.Float -> R2
multivector/scalar addition
ssub : Basics.Float -> R2 -> R2
scalar/multivector subtraction
subs : R2 -> Basics.Float -> R2
multivector/scalar subtraction
norm : R2 -> Basics.Float
Norm
inorm : R2 -> Basics.Float
Norm of dual
normalized : R2 -> R2
Normalized multivector