davinci-newton

A Physics Engine for research and education using Geometric Algebra, and Units of Measure (optional).

The following metrics are supported:

Description	Algebra	class
Euclidean 1D	G(1,0)	Engine1
Euclidean 2D	G(2,0)	Engine2
Euclidean 3D	G(3,0)	Engine3
Spacetime 1D	G(1,1)	EngineG11
Spacetime 2D	G(2,1)	EngineG21

Getting Started

The following code illustrates the basic flow. For working examples see STEMCstudio.

Constructing the core simulation using the Engine3 Euclidean 3D or G(3,0) Physics engine.

This example incorporates units of measure.

``typescript
import {
Block3,
Engine3,
Geometric3,
Spring
} from 'davinci-newton'

//
// Constants
//
const e1 = Geometric3.e1
const e2 = Geometric3.e2
const e3 = Geometric3.e3
const kg = Geometric3.kilogram
const m = Geometric3.meter
const s = Geometric3.second

//
// Initialization
//
const sim = new Engine3()
const Δt = 0.01 * s

//
// Add objects
//
const width = 0.5 * m
const height = 0.1 * m
const depth = 0.5 * m
const block1 = new Block3(width, height, depth)
const block2 = new Block3(width, height, depth)

block1.M = 1 * kg
block2.M = 1 * kg

block1.X = -1.0 e1 m
block2.X = +1.0 e1 m

sim.addBody(block1)
sim.addBody(block2)

//
// Add forces
//
const spring = new Spring(block1, block2)
spring.restLength = 1 * m
spring.stiffness = 1 kg / (s s)
sim.addForceLaw(spring)
spring.attach1 = (block1.width e1 + 0 block1.height e2 + block1.depth e3) / 2

// Inside animation "loop"
sim.advance(Δt.a, Δt.uom)
``