calcit-lang / geometric

[Experimental] Some geometry algebra arithmetics

Geometric Algerbra Arithmetic for Calcit

Thanks to tutorials:

• A Swift Introduction to Geometric Algebra
• What is the Inverse of a Vector?
• Let's remove Quaternions from every 3D Engine

Usages

Representation:

• geometric algebra 3D: :: :ga3 s x y z xy yz zx xyz
• vector 3D: :: :v3 x y z

Call geometric.core/ga3 s x y z xy yz zx xyz to construct a value.

Values:

• ga3:identity - :: :ga3 1 0 0 0 0 0 0 0
• ga3:zero - :: :ga3 0 0 0 0 0 0 0 0

Functions:

• ga3:as-v3 a

• ga3:as-v3-list a

• ga3:from-v3 a

• ga3:from-v3-list a

• ga3:scalar? a

• ga3:v3? a

• ga3:length a

• ga3:length-square a

• ga3:conjugate a

• ga3:normalize a

• ga3:scale a n

• ga3:add a b

• ga3:sub a b

• ga3:multiply a b

• ga3:close? a b

• ga3:reflect a r

Workflow

https://github.com/calcit-lang/calcit-workflow

License

MIT