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Engine: Find the tangent space of the solution variety

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At the end of the realization routine, use the computed Hessian to find
the tangent space of the solution variety, and return it alongside the
realization. Since altering the constraints can change the tangent space
without changing the solution, we compute the tangent space even when
the guess passed to the realization routine is already a solution.
This commit is contained in:
Aaron Fenyes 2024-12-06 14:35:30 -08:00
parent b490c8707f
commit 2c55a63a6f
5 changed files with 129 additions and 20 deletions
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12
app-proto/src/assembly.rs
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@ -5,7 +5,7 @@ use std::{collections::BTreeSet, sync::atomic::{AtomicU64, Ordering}};
use sycamore::prelude::*;
use web_sys::{console, wasm_bindgen::JsValue}; /* DEBUG */
use crate::engine::{realize_gram, PartialMatrix};
use crate::engine::{realize_gram, ConfigSubspace, PartialMatrix};
// the types of the keys we use to access an assembly's elements and constraints
pub type ElementKey = usize;
@ -109,7 +109,6 @@ impl Element {
}
}
}
#[derive(Clone)]
pub struct Constraint {
@ -127,6 +126,9 @@ pub struct Assembly {
pub elements: Signal<Slab<Element>>,
pub constraints: Signal<Slab<Constraint>>,
// solution variety tangent space
pub tangent: Signal<ConfigSubspace>,
// indexing
pub elements_by_id: Signal<FxHashMap<String, ElementKey>>
}
@ -136,6 +138,7 @@ impl Assembly {
Assembly {
elements: create_signal(Slab::new()),
constraints: create_signal(Slab::new()),
tangent: create_signal(ConfigSubspace::zero()),
elements_by_id: create_signal(FxHashMap::default())
}
}
@ -247,7 +250,7 @@ impl Assembly {
}
// look for a configuration with the given Gram matrix
let (config, success, history) = realize_gram(
let (config, tangent, success, history) = realize_gram(
&gram, guess, &[],
1.0e-12, 0.5, 0.9, 1.1, 200, 110
);
@ -271,6 +274,9 @@ impl Assembly {
|rep| rep.set_column(0, &config.column(elt.column_index))
);
}
// save the tangent space
self.tangent.set_silent(tangent);
}
}
}