Check tangent space sync when deforming
Only give elements column indices once they've actually been through a realization. Ignore motions of elements that haven't been through a realization. Get the dimensions of the projected motion matrix from the saved tangent space, not the current number of elements.
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4fd79b9e47
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@ -33,8 +33,9 @@ pub struct Element {
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pub serial: u64,
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pub serial: u64,
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// the configuration matrix column index that was assigned to this element
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// the configuration matrix column index that was assigned to this element
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// last time the assembly was realized
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// last time the assembly was realized, or `None` if the assembly has never
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column_index: usize
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// been realized with this element in it
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column_index: Option<usize>
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}
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}
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impl Element {
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impl Element {
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@ -62,7 +63,7 @@ impl Element {
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representation: create_signal(representation),
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representation: create_signal(representation),
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constraints: create_signal(BTreeSet::default()),
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constraints: create_signal(BTreeSet::default()),
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serial: serial,
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serial: serial,
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column_index: 0
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column_index: None
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}
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}
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}
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}
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@ -145,7 +146,7 @@ impl Assembly {
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Assembly {
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Assembly {
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elements: create_signal(Slab::new()),
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elements: create_signal(Slab::new()),
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constraints: create_signal(Slab::new()),
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constraints: create_signal(Slab::new()),
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tangent: create_signal(ConfigSubspace::zero()),
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tangent: create_signal(ConfigSubspace::zero(0)),
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elements_by_id: create_signal(FxHashMap::default())
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elements_by_id: create_signal(FxHashMap::default())
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}
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}
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}
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}
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@ -216,7 +217,7 @@ impl Assembly {
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// index the elements
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// index the elements
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self.elements.update_silent(|elts| {
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self.elements.update_silent(|elts| {
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for (index, (_, elt)) in elts.into_iter().enumerate() {
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for (index, (_, elt)) in elts.into_iter().enumerate() {
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elt.column_index = index;
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elt.column_index = Some(index);
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}
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}
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});
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});
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@ -228,8 +229,8 @@ impl Assembly {
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for (_, cst) in csts {
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for (_, cst) in csts {
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if cst.active.get_untracked() && cst.lorentz_prod_valid.get_untracked() {
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if cst.active.get_untracked() && cst.lorentz_prod_valid.get_untracked() {
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let subjects = cst.subjects;
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let subjects = cst.subjects;
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let row = elts[subjects.0].column_index;
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let row = elts[subjects.0].column_index.unwrap();
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let col = elts[subjects.1].column_index;
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let col = elts[subjects.1].column_index.unwrap();
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gram_to_be.push_sym(row, col, cst.lorentz_prod.get_untracked());
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gram_to_be.push_sym(row, col, cst.lorentz_prod.get_untracked());
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}
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}
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}
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}
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@ -239,7 +240,7 @@ impl Assembly {
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// Gram matrix
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// Gram matrix
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let mut guess_to_be = DMatrix::<f64>::zeros(5, elts.len());
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let mut guess_to_be = DMatrix::<f64>::zeros(5, elts.len());
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for (_, elt) in elts {
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for (_, elt) in elts {
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let index = elt.column_index;
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let index = elt.column_index.unwrap();
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gram_to_be.push_sym(index, index, 1.0);
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gram_to_be.push_sym(index, index, 1.0);
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guess_to_be.set_column(index, &elt.representation.get_clone_untracked());
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guess_to_be.set_column(index, &elt.representation.get_clone_untracked());
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}
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}
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@ -286,7 +287,7 @@ impl Assembly {
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// read out the solution
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// read out the solution
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for (_, elt) in self.elements.get_clone_untracked() {
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for (_, elt) in self.elements.get_clone_untracked() {
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elt.representation.update(
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elt.representation.update(
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|rep| rep.set_column(0, &config.column(elt.column_index))
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|rep| rep.set_column(0, &config.column(elt.column_index.unwrap()))
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);
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);
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}
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}
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@ -309,14 +310,27 @@ impl Assembly {
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}
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}
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const ELEMENT_DIM: usize = 5;
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const ELEMENT_DIM: usize = 5;
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let assembly_dim = self.elements.with(|elts| elts.len());
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let assembly_dim = self.tangent.with(|tan| tan.assembly_dim());
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let mut motion_proj = DMatrix::zeros(ELEMENT_DIM, assembly_dim);
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let mut motion_proj = DMatrix::zeros(ELEMENT_DIM, assembly_dim);
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// project the element motions onto the tangent space of the solution
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// project the element motions onto the tangent space of the solution
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// variety, and sum them to get a deformation of the whole assembly
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// variety, and sum them to get a deformation of the whole assembly
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for elt_motion in motion {
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for elt_motion in motion {
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let column_index = self.elements.with(|elts| elts[elt_motion.key].column_index);
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match self.elements.with_untracked(|elts| elts[elt_motion.key].column_index) {
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motion_proj += self.tangent.with(|tan| tan.proj(&elt_motion.velocity, column_index));
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Some(column_index) => {
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motion_proj += self.tangent.with(
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|tan| tan.proj(&elt_motion.velocity, column_index)
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)
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},
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None => {
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console::log_1(&JsValue::from(
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format!(
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"Ignoring motion of fresh element \"{}\"",
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self.elements.with_untracked(|elts| elts[elt_motion.key].id.clone())
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)
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))
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}
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}
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}
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}
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// step each element along the mass shell geodesic that matches its
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// step each element along the mass shell geodesic that matches its
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@ -326,9 +340,18 @@ impl Assembly {
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// element is on the 1 mass shell
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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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for (_, elt) in self.elements.get_clone_untracked() {
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elt.representation.update_silent(|rep| {
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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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match elt.column_index {
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let normalizer = rep_next.dot(&(&*Q * &rep_next));
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Some(column_index) => {
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rep.set_column(0, &(rep_next / normalizer));
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let rep_next = &*rep + motion_proj.column(column_index);
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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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None => {
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console::log_1(&JsValue::from(
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format!("No velocity to unpack for fresh element \"{}\"", elt.id)
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))
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}
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};
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});
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});
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}
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}
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@ -88,11 +88,17 @@ impl PartialMatrix {
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// --- configuration subspaces ---
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// --- configuration subspaces ---
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#[derive(Clone)]
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#[derive(Clone)]
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pub struct ConfigSubspace(Vec<DMatrix<f64>>);
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pub struct ConfigSubspace {
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assembly_dim: usize,
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basis: Vec<DMatrix<f64>>
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}
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impl ConfigSubspace {
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impl ConfigSubspace {
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pub fn zero() -> ConfigSubspace {
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pub fn zero(assembly_dim: usize) -> ConfigSubspace {
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ConfigSubspace(Vec::new())
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ConfigSubspace {
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assembly_dim: assembly_dim,
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basis: Vec::new()
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}
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}
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}
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// approximate the kernel of a symmetric endomorphism of the configuration
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// approximate the kernel of a symmetric endomorphism of the configuration
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@ -119,12 +125,18 @@ impl ConfigSubspace {
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format!("Eigenvalues used to find kernel: {}", eig.eigenvalues)
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format!("Eigenvalues used to find kernel: {}", eig.eigenvalues)
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));
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));
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ConfigSubspace(basis.collect())
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ConfigSubspace {
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assembly_dim: assembly_dim,
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basis: basis.collect()
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}
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}
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}
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pub fn dim(&self) -> usize {
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pub fn dim(&self) -> usize {
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let ConfigSubspace(basis) = self;
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self.basis.len()
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basis.len()
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}
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pub fn assembly_dim(&self) -> usize {
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self.assembly_dim
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}
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}
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// find the projection onto this subspace of the motion where the element
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// find the projection onto this subspace of the motion where the element
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@ -133,8 +145,7 @@ impl ConfigSubspace {
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// for the zero subspace, this method's behavior doesn't match its name: it
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// for the zero subspace, this method's behavior doesn't match its name: it
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// panics rather than returning zero
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// panics rather than returning zero
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pub fn proj(&self, v: &DVectorView<f64>, column_index: usize) -> DMatrix<f64> {
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pub fn proj(&self, v: &DVectorView<f64>, column_index: usize) -> DMatrix<f64> {
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let ConfigSubspace(basis) = self;
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self.basis.iter().map(
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basis.into_iter().map(
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|b| b.column(column_index).dot(&v) * b
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|b| b.column(column_index).dot(&v) * b
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).sum()
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).sum()
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}
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}
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@ -325,14 +336,14 @@ pub fn realize_gram(
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state = better_state;
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state = better_state;
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history.backoff_steps.push(backoff_steps);
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history.backoff_steps.push(backoff_steps);
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},
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},
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None => return (state.config, ConfigSubspace::zero(), false, history)
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None => return (state.config, ConfigSubspace::zero(assembly_dim), false, history)
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};
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};
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}
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}
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let success = state.loss < tol;
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let success = state.loss < tol;
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let tangent = if success {
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let tangent = if success {
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ConfigSubspace::symmetric_kernel(hess, assembly_dim)
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ConfigSubspace::symmetric_kernel(hess, assembly_dim)
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} else {
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} else {
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ConfigSubspace::zero()
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ConfigSubspace::zero(assembly_dim)
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};
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};
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(state.config, tangent, success, history)
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(state.config, tangent, success, history)
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}
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}
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