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feat: Curvature regulators (#80)

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Prior to this commit, there's only one kind of regulator: the one that regulates the inversive distance between two spheres (or, more generally, the Lorentz product between two element representation vectors). Adds a new kind of regulator, which regulates the curvature of a sphere (issue #55). In the process, introduces a general framework based on new traits for organizing and sharing code between different kinds of regulators.

Co-authored-by: Aaron Fenyes <aaron.fenyes@fareycircles.ooo>
Reviewed-on: StudioInfinity/dyna3#80
Co-authored-by: Vectornaut <vectornaut@nobody@nowhere.net>
Co-committed-by: Vectornaut <vectornaut@nobody@nowhere.net>
This commit is contained in:
Vectornaut 2025-04-21 23:40:42 +00:00 • committed by Glen Whitney
parent 23ba5acad7
commit 360ce12d8b
6 changed files with 640 additions and 331 deletions
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25
app-proto/examples/point-on-sphere.rs
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@ -1,26 +1,19 @@
use nalgebra::DMatrix;
use dyna3::engine::{Q, point, realize_gram, sphere, PartialMatrix};
use dyna3::engine::{Q, point, realize_gram, sphere, ConstraintProblem};
fn main() {
let gram = {
let mut gram_to_be = PartialMatrix::new();
for j in 0..2 {
for k in j..2 {
gram_to_be.push_sym(j, k, if (j, k) == (1, 1) { 1.0 } else { 0.0 });
}
}
gram_to_be
};
let guess = DMatrix::from_columns(&[
let mut problem = ConstraintProblem::from_guess(&[
point(0.0, 0.0, 2.0),
sphere(0.0, 0.0, 0.0, 1.0)
]);
let frozen = [(3, 0)];
for j in 0..2 {
for k in j..2 {
problem.gram.push_sym(j, k, if (j, k) == (1, 1) { 1.0 } else { 0.0 });
}
}
problem.frozen.push(3, 0, problem.guess[(3, 0)]);
println!();
let (config, _, success, history) = realize_gram(
&gram, guess, &frozen,
1.0e-12, 0.5, 0.9, 1.1, 200, 110
&problem, 1.0e-12, 0.5, 0.9, 1.1, 200, 110
);
print!("\nCompleted Gram matrix:{}", config.tr_mul(&*Q) * &config);
print!("Configuration:{}", config);