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Update the tangent test with uniform coordinates

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The motions we feed into the projection map now need to be expressed in
uniform coordinates. I've verified by hand that `tangent_motions_unif`
and `tangent_motions_std` represent the same motions.
This commit is contained in:
Aaron Fenyes 2025-01-22 15:01:09 -08:00
parent 21cefa9f8a
commit e61047cb86
1 changed files with 28 additions and 17 deletions
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41
app-proto/src/engine.rs
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@ -554,8 +554,6 @@ mod tests {
#[test] #[test]
fn tangent_test() { fn tangent_test() {
const SCALED_TOL: f64 = 1.0e-12; const SCALED_TOL: f64 = 1.0e-12;
const ELEMENT_DIM: usize = 5;
const ASSEMBLY_DIM: usize = 3;
let gram = { let gram = {
let mut gram_to_be = PartialMatrix::new(); let mut gram_to_be = PartialMatrix::new();
for j in 0..3 { for j in 0..3 {
@ -580,29 +578,42 @@ mod tests {
assert_eq!(history.scaled_loss.len(), 1); assert_eq!(history.scaled_loss.len(), 1);
// confirm that the tangent space has dimension five or less // confirm that the tangent space has dimension five or less
let ConfigSubspace(ref tangent_basis) = tangent; assert_eq!(tangent.basis_std.len(), 5);
assert_eq!(tangent_basis.len(), 5);
// confirm that the tangent space contains all the motions we expect it // confirm that the tangent space contains all the motions we expect it
// to. since we've already bounded the dimension of the tangent space, // to. since we've already bounded the dimension of the tangent space,
// this confirms that the tangent space is what we expect it to be // this confirms that the tangent space is what we expect it to be
let tangent_motions = vec![ const UNIFORM_DIM: usize = 4;
basis_matrix((0, 1), ELEMENT_DIM, ASSEMBLY_DIM), let element_dim = guess.nrows();
basis_matrix((1, 1), ELEMENT_DIM, ASSEMBLY_DIM), let assembly_dim = guess.ncols();
basis_matrix((0, 2), ELEMENT_DIM, ASSEMBLY_DIM), let tangent_motions_unif = vec![
basis_matrix((1, 2), ELEMENT_DIM, ASSEMBLY_DIM), basis_matrix((0, 1), UNIFORM_DIM, assembly_dim),
DMatrix::<f64>::from_column_slice(ELEMENT_DIM, 3, &[ basis_matrix((1, 1), UNIFORM_DIM, assembly_dim),
0.0, 0.0, 0.0, 0.0, 0.0, basis_matrix((0, 2), UNIFORM_DIM, assembly_dim),
basis_matrix((1, 2), UNIFORM_DIM, assembly_dim),
DMatrix::<f64>::from_column_slice(UNIFORM_DIM, assembly_dim, &[
0.0, 0.0, 0.0, 0.0,
0.0, 0.0, -0.5, -0.5,
0.0, 0.0, -0.5, 0.5
])
];
let tangent_motions_std = vec![
basis_matrix((0, 1), element_dim, assembly_dim),
basis_matrix((1, 1), element_dim, assembly_dim),
basis_matrix((0, 2), element_dim, assembly_dim),
basis_matrix((1, 2), element_dim, assembly_dim),
DMatrix::<f64>::from_column_slice(element_dim, assembly_dim, &[
0.0, 0.0, 0.0, 0.00, 0.0,
0.0, 0.0, -1.0, -0.25, -1.0, 0.0, 0.0, -1.0, -0.25, -1.0,
0.0, 0.0, -1.0, 0.25, 1.0 0.0, 0.0, -1.0, 0.25, 1.0
]) ])
]; ];
let tol_sq = ((ELEMENT_DIM * ASSEMBLY_DIM) as f64) * SCALED_TOL * SCALED_TOL; let tol_sq = ((element_dim * assembly_dim) as f64) * SCALED_TOL * SCALED_TOL;
for motion in tangent_motions { for (motion_unif, motion_std) in tangent_motions_unif.into_iter().zip(tangent_motions_std) {
let motion_proj: DMatrix<_> = motion.column_iter().enumerate().map( let motion_proj: DMatrix<_> = motion_unif.column_iter().enumerate().map(
|(k, v)| tangent.proj(&v, k) |(k, v)| tangent.proj(&v, k)
).sum(); ).sum();
assert!((motion - motion_proj).norm_squared() < tol_sq); assert!((motion_std - motion_proj).norm_squared() < tol_sq);
} }
} }