A collection of multivectors for numeric computation. A multivector is a generalization of vector and scalar quantities that is closed under multiplication.
The following geometric quantities are supported.
Class | p | q | Metric | Coordinates | Basis Vectors |
Geometric1 | 1 | 0 | Euclidean | a,x,x or b | e1 |
Geometric2 | 2 | 0 | Euclidean | a,x,y,xy or b | e1,e2 |
Geometric3 | 3 | 0 | Euclidean | a,x,y,z,xy,yz,zx,xyz or b | e1,e2,e3 |
Spacetime1 | 1 | 1 | Minkowski | a,t,x,tx or b | e0,e1 |
Spacetime2 | 2 | 1 | Minkowski | a,t,x,y,tx,ty,xy,txy or b | e0,e1,e2 |
p is the number of space dimensions, q is the number of time dimensions.
All types have:
https://geometryzen.github.io/multivectors
https://www.npmjs.com/package/@geometryzen/multivectors
import {Geometric3} from '@geometryzen/multivectors'
const e1 = Geometric3.e1
The ability to lock a multivector provides both unsurprising behavior and efficiency. In general, mutability is efficient because it can be used to avoid the creation of temporary objects that must be garbage collected. On the other hand, immutability avoids surprising changes in variables, is useful for avoiding the need to explicitly clone mutable objects, and provides support for operator overloading.
https://unpkg.com/@geometryzen/multivectors/dist/cjs/index.js
https://unpkg.com/@geometryzen/multivectors/dist/esm/index.js
https://unpkg.com/@geometryzen/multivectors/dist/esm/index.min.js
https://unpkg.com/@geometryzen/multivectors/dist/system/index.js
https://unpkg.com/@geometryzen/multivectors/dist/system/index.min.js
https://unpkg.com/@geometryzen/multivectors/dist/umd/index.js
https://unpkg.com/@geometryzen/multivectors/dist/umd/index.min.js
https://unpkg.com/@geometryzen/multivectors/dist/index.d.ts
Please file issues at https://github.com/geometryzen/multivectors/issues
Copyright (c) 2022 David Geo Holmes.
This software is licensed under the MIT License.
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