Step elements geodesically instead of linearly
This helps prevent small spheres from shrinking during deformations.
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@ -5,7 +5,7 @@ use std::{collections::BTreeSet, sync::atomic::{AtomicU64, Ordering}};
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use sycamore::prelude::*;
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use web_sys::{console, wasm_bindgen::JsValue}; /* DEBUG */
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use crate::engine::{realize_gram, ConfigSubspace, PartialMatrix};
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use crate::engine::{realize_gram, ConfigSubspace, PartialMatrix, Q};
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// the types of the keys we use to access an assembly's elements and constraints
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pub type ElementKey = usize;
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@ -312,12 +312,16 @@ impl Assembly {
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motion_proj += self.tangent.with(|tan| tan.proj(&elt_motion, column_index));
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}
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// step the configuration linearly along the tangent space of the
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// solution variety
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// step each element along the mass shell geodesic that matches its
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// velocity in the deformation found above
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/* KLUDGE */
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// since our test assemblies only involve spheres, we assume that every
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// element is on the 1 mass shell
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for (_, elt) in self.elements.get_clone_untracked() {
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elt.representation.update_silent(|rep| {
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let rep_next = &*rep + motion_proj.column(elt.column_index);
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rep.set_column(0, &rep_next);
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let normalizer = rep_next.dot(&(&*Q * &rep_next));
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rep.set_column(0, &(rep_next / normalizer));
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});
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}
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