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chore: wrap all code at 80 characters

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This commit is contained in:
Glen Whitney 2025-10-14 12:30:33 -07:00
parent b89fa02f52
commit fae94486d6
7 changed files with 311 additions and 150 deletions
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54
app-proto/src/assembly.rs
View file

@ -261,7 +261,8 @@ impl ProblemPoser for Sphere {
let index = self.column_index().expect(
indexing_error("Sphere", &self.id, "it").as_str());
problem.gram.push_sym(index, index, 1.0);
problem.guess.set_column(index, &self.representation.get_clone_untracked());
problem.guess.set_column(
index, &self.representation.get_clone_untracked());
}
}
@ -367,7 +368,8 @@ impl ProblemPoser for Point {
indexing_error("Point", &self.id, "it").as_str());
problem.gram.push_sym(index, index, 0.0);
problem.frozen.push(Self::WEIGHT_COMPONENT, index, 0.5);
problem.guess.set_column(index, &self.representation.get_clone_untracked());
problem.guess.set_column(
index, &self.representation.get_clone_untracked());
}
}
@ -412,7 +414,8 @@ pub struct InversiveDistanceRegulator {
impl InversiveDistanceRegulator {
pub fn new(subjects: [Rc<dyn Element>; 2]) -> Self {
let representations = subjects.each_ref().map(|subj| subj.representation());
let representations = subjects.each_ref().map(
|subj| subj.representation());
let measurement = create_memo(move || {
representations[0].with(|rep_0|
representations[1].with(|rep_1|
@ -518,6 +521,7 @@ impl ProblemPoser for HalfCurvatureRegulator {
#[derive(Clone, Copy, Sequence)]
pub enum Axis { X = 0, Y = 1, Z = 2 }
impl Axis {
fn name(&self) -> &'static str {
match self { Axis::X => "X", Axis::Y => "Y", Axis::Z => "Z" }
@ -544,7 +548,9 @@ impl PointCoordinateRegulator {
move |rep| rep[axis as usize]
);
let set_point = create_signal(SpecifiedValue::from_empty_spec());
Self { subject, axis, measurement, set_point, serial: Self::next_serial() }
Self {
subject, axis, measurement, set_point, serial: Self::next_serial()
}
}
}
@ -578,8 +584,8 @@ impl ProblemPoser for PointCoordinateRegulator {
}
if nset == Axis::CARDINALITY {
let [x, y, z] = coords;
problem.frozen.push(
Point::NORM_COMPONENT, col, point(x,y,z)[Point::NORM_COMPONENT]);
problem.frozen.push(Point::NORM_COMPONENT,
col, point(x,y,z)[Point::NORM_COMPONENT]);
}
}
});
@ -678,7 +684,8 @@ impl Assembly {
let id = elt.id().clone();
let elt_rc = Rc::new(elt);
self.elements.update(|elts| elts.insert(elt_rc.clone()));
self.elements_by_id.update(|elts_by_id| elts_by_id.insert(id, elt_rc.clone()));
self.elements_by_id.update(
|elts_by_id| elts_by_id.insert(id, elt_rc.clone()));
// create and insert the element's default regulators
for reg in elt_rc.default_regulators() {
@ -754,7 +761,8 @@ impl Assembly {
pub fn load_config(&self, config: &DMatrix<f64>) {
for elt in self.elements.get_clone_untracked() {
elt.representation().update(
|rep| rep.set_column(0, &config.column(elt.column_index().unwrap()))
|rep| rep.set_column(
0, &config.column(elt.column_index().unwrap()))
);
}
}
@ -899,7 +907,8 @@ impl Assembly {
if column_index < realized_dim {
// this element had a column index when we started, so by
// invariant (1), it's reflected in the tangent space
let mut target_columns = motion_proj.columns_mut(0, realized_dim);
let mut target_columns =
motion_proj.columns_mut(0, realized_dim);
target_columns += self.tangent.with(
|tan| tan.proj(&elt_motion.velocity, column_index)
);
@ -907,9 +916,10 @@ impl Assembly {
// this element didn't have a column index when we started, so
// by invariant (2), it's unconstrained
let mut target_column = motion_proj.column_mut(column_index);
let unif_to_std = elt_motion.element.representation().with_untracked(
|rep| local_unif_to_std(rep.as_view())
);
let unif_to_std =
elt_motion.element.representation().with_untracked(
|rep| local_unif_to_std(rep.as_view())
);
target_column += unif_to_std * elt_motion.velocity;
}
}
@ -926,7 +936,10 @@ impl Assembly {
elt.project_to_normalized(rep);
},
None => {
console_log!("No velocity to unpack for fresh element \"{}\"", elt.id())
console_log!(
"No velocity to unpack for fresh element \"{}\"",
elt.id()
)
},
};
});
@ -961,13 +974,15 @@ mod tests {
fn unindexed_subject_test_inversive_distance() {
let _ = create_root(|| {
let subjects = [0, 1].map(
|k| Rc::new(Sphere::default(format!("sphere{k}"), k)) as Rc<dyn Element>
|k| Rc::new(
Sphere::default(format!("sphere{k}"), k)) as Rc<dyn Element>
);
subjects[0].set_column_index(0);
InversiveDistanceRegulator {
subjects: subjects,
measurement: create_memo(|| 0.0),
set_point: create_signal(SpecifiedValue::try_from("0.0".to_string()).unwrap()),
set_point: create_signal(
SpecifiedValue::try_from("0.0".to_string()).unwrap()),
serial: InversiveDistanceRegulator::next_serial()
}.pose(&mut ConstraintProblem::new(2));
});
@ -996,8 +1011,10 @@ mod tests {
// nudge the sphere repeatedly along the `z` axis
const STEP_SIZE: f64 = 0.0025;
const STEP_CNT: usize = 400;
let sphere = assembly.elements_by_id.with(|elts_by_id| elts_by_id[sphere_id].clone());
let velocity = DVector::from_column_slice(&[0.0, 0.0, STEP_SIZE, 0.0]);
let sphere = assembly.elements_by_id.with(
|elts_by_id| elts_by_id[sphere_id].clone());
let velocity =
DVector::from_column_slice(&[0.0, 0.0, STEP_SIZE, 0.0]);
for _ in 0..STEP_CNT {
assembly.deform(
vec![
@ -1015,7 +1032,8 @@ mod tests {
let final_half_curv = sphere.representation().with_untracked(
|rep| rep[Sphere::CURVATURE_COMPONENT]
);
assert!((final_half_curv / INITIAL_HALF_CURV - 1.0).abs() < DRIFT_TOL);
assert!((final_half_curv / INITIAL_HALF_CURV - 1.0).abs()
< DRIFT_TOL);
});
}
}

4
app-proto/src/components/add_remove.rs
View file

@ -39,7 +39,9 @@ pub fn AddRemove() -> View {
}
) { "Add point" }
button(
class = "emoji", /* KLUDGE */ // for convenience, we're using an emoji as a temporary icon for this button
/* KLUDGE */ // for convenience, we're using an emoji as an
// icon for this button
class = "emoji",
disabled = {
let state = use_context::<AppState>();
state.selection.with(|sel| sel.len() != 2)

120
app-proto/src/components/display.rs
View file

@ -50,7 +50,8 @@ impl SceneSpheres {
}
fn len_i32(&self) -> i32 {
self.representations.len().try_into().expect("Number of spheres must fit in a 32-bit integer")
self.representations.len().try_into().expect(
"Number of spheres must fit in a 32-bit integer")
}
fn push(
@ -127,8 +128,12 @@ impl DisplayItem for Sphere {
const HIGHLIGHT: f32 = 0.2;
let representation = self.representation.get_clone_untracked();
let color = if selected { self.color.map(|channel| 0.2 + 0.8*channel) } else { self.color };
let opacity = if self.ghost.get() { GHOST_OPACITY } else { DEFAULT_OPACITY };
let color =
if selected { self.color.map(|channel| 0.2 + 0.8*channel) }
else { self.color };
let opacity =
if self.ghost.get() { GHOST_OPACITY }
else { DEFAULT_OPACITY };
let highlight = if selected { 1.0 } else { HIGHLIGHT };
scene.spheres.push(representation, color, opacity, highlight);
}
@ -145,7 +150,8 @@ impl DisplayItem for Sphere {
// `a*u^2 + b*u + c` by the linear function `b*u + c`
const DEG_THRESHOLD: f64 = 1e-9;
let rep = self.representation.with_untracked(|rep| assembly_to_world * rep);
let rep = self.representation.with_untracked(
|rep| assembly_to_world * rep);
let a = -rep[3] * dir.norm_squared();
let b = rep.rows_range(..3).dot(&dir);
let c = -rep[4];
@ -186,7 +192,9 @@ impl DisplayItem for Point {
const HIGHLIGHT: f32 = 0.5;
let representation = self.representation.get_clone_untracked();
let color = if selected { self.color.map(|channel| 0.2 + 0.8*channel) } else { self.color };
let color =
if selected { self.color.map(|channel| 0.2 + 0.8*channel) }
else { self.color };
let opacity = if self.ghost.get() { GHOST_OPACITY } else { 1.0 };
let highlight = if selected { 1.0 } else { HIGHLIGHT };
scene.points.push(representation, color, opacity, highlight, selected);
@ -199,7 +207,8 @@ impl DisplayItem for Point {
assembly_to_world: &DMatrix<f64>,
pixel_size: f64,
) -> Option<f64> {
let rep = self.representation.with_untracked(|rep| assembly_to_world * rep);
let rep = self.representation.with_untracked(
|rep| assembly_to_world * rep);
if rep[2] < 0.0 {
// this constant should be kept synchronized with `point.frag`
const POINT_RADIUS_PX: f64 = 4.0;
@ -357,11 +366,12 @@ fn event_dir(event: &MouseEvent) -> (Vector3<f64>, f64) {
// this constant should be kept synchronized with `spheres.frag` and
// `point.vert`
const FOCAL_SLOPE: f64 = 0.3;
let horizontal = f64::from(event.client_x()) - rect.left();
let vertical = rect.bottom() - f64::from(event.client_y());
(
Vector3::new(
FOCAL_SLOPE * (2.0*(f64::from(event.client_x()) - rect.left()) - width) / shortdim,
FOCAL_SLOPE * (2.0*(rect.bottom() - f64::from(event.client_y())) - height) / shortdim,
FOCAL_SLOPE * (2.0*horizontal - width) / shortdim,
FOCAL_SLOPE * (2.0*vertical - height) / shortdim,
-1.0,
),
FOCAL_SLOPE * 2.0 / shortdim,
@ -445,7 +455,8 @@ pub fn Display() -> View {
let performance = window().unwrap().performance().unwrap();
// get the display canvas
let canvas = display.get().unchecked_into::<web_sys::HtmlCanvasElement>();
let canvas =
display.get().unchecked_into::<web_sys::HtmlCanvasElement>();
let ctx = canvas
.get_context("webgl2")
.unwrap()
@ -458,7 +469,8 @@ pub fn Display() -> View {
// set blend mode
ctx.enable(WebGl2RenderingContext::BLEND);
ctx.blend_func(WebGl2RenderingContext::SRC_ALPHA, WebGl2RenderingContext::ONE_MINUS_SRC_ALPHA);
ctx.blend_func(WebGl2RenderingContext::SRC_ALPHA,
WebGl2RenderingContext::ONE_MINUS_SRC_ALPHA);
// set up the sphere rendering program
let sphere_program = set_up_program(
@ -487,16 +499,20 @@ pub fn Display() -> View {
// machine, the the length of a float or genType array seems to be
// capped at 1024 elements
console::log_2(
&ctx.get_parameter(WebGl2RenderingContext::MAX_FRAGMENT_UNIFORM_VECTORS).unwrap(),
&ctx.get_parameter(
WebGl2RenderingContext::MAX_FRAGMENT_UNIFORM_VECTORS).unwrap(),
&JsValue::from("uniform vectors available"),
);
// find the sphere program's vertex attribute
let viewport_position_attr = ctx.get_attrib_location(&sphere_program, "position") as u32;
let viewport_position_attr =
ctx.get_attrib_location(&sphere_program, "position") as u32;
// find the sphere program's uniforms
const SPHERE_MAX: usize = 200;
let sphere_cnt_loc = ctx.get_uniform_location(&sphere_program, "sphere_cnt");
let sphere_cnt_loc = ctx.get_uniform_location(
&sphere_program, "sphere_cnt"
);
let sphere_sp_locs = get_uniform_array_locations::<SPHERE_MAX>(
&ctx, &sphere_program, "sphere_list", Some("sp")
);
@ -509,10 +525,18 @@ pub fn Display() -> View {
let sphere_highlight_locs = get_uniform_array_locations::<SPHERE_MAX>(
&ctx, &sphere_program, "highlight_list", None
);
let resolution_loc = ctx.get_uniform_location(&sphere_program, "resolution");
let shortdim_loc = ctx.get_uniform_location(&sphere_program, "shortdim");
let layer_threshold_loc = ctx.get_uniform_location(&sphere_program, "layer_threshold");
let debug_mode_loc = ctx.get_uniform_location(&sphere_program, "debug_mode");
let resolution_loc = ctx.get_uniform_location(
&sphere_program, "resolution"
);
let shortdim_loc = ctx.get_uniform_location(
&sphere_program, "shortdim"
);
let layer_threshold_loc = ctx.get_uniform_location(
&sphere_program, "layer_threshold"
);
let debug_mode_loc = ctx.get_uniform_location(
&sphere_program, "debug_mode"
);
// load the viewport vertex positions into a new vertex buffer object
const VERTEX_CNT: usize = 6;
@ -526,13 +550,18 @@ pub fn Display() -> View {
1.0, 1.0, 0.0,
1.0, -1.0, 0.0,
];
let viewport_position_buffer = load_new_buffer(&ctx, &viewport_positions);
let viewport_position_buffer =
load_new_buffer(&ctx, &viewport_positions);
// find the point program's vertex attributes
let point_position_attr = ctx.get_attrib_location(&point_program, "position") as u32;
let point_color_attr = ctx.get_attrib_location(&point_program, "color") as u32;
let point_highlight_attr = ctx.get_attrib_location(&point_program, "highlight") as u32;
let point_selection_attr = ctx.get_attrib_location(&point_program, "selected") as u32;
let point_position_attr =
ctx.get_attrib_location(&point_program, "position") as u32;
let point_color_attr =
ctx.get_attrib_location(&point_program, "color") as u32;
let point_highlight_attr =
ctx.get_attrib_location(&point_program, "highlight") as u32;
let point_selection_attr =
ctx.get_attrib_location(&point_program, "selected") as u32;
// set up a repainting routine
let (_, start_animation_loop, _) = create_raf(move || {
@ -596,7 +625,8 @@ pub fn Display() -> View {
let realization_successful = state.assembly.realization_status.with(
|status| status.is_ok()
);
let step_val = state.assembly.step.with_untracked(|step| step.value);
let step_val =
state.assembly.step.with_untracked(|step| step.value);
let on_init_step = step_val.is_some_and(|n| n == 0.0);
let on_last_step = step_val.is_some_and(
|n| state.assembly.descent_history.with_untracked(
@ -606,7 +636,8 @@ pub fn Display() -> View {
let on_manipulable_step =
!realization_successful && on_init_step
|| realization_successful && on_last_step;
if on_manipulable_step && state.selection.with(|sel| sel.len() == 1) {
if on_manipulable_step
&& state.selection.with(|sel| sel.len() == 1) {
let sel = state.selection.with(
|sel| sel.into_iter().next().unwrap().clone()
);
@ -651,7 +682,8 @@ pub fn Display() -> View {
// measure mean frame interval
frames_since_last_sample += 1;
if frames_since_last_sample >= SAMPLE_PERIOD {
mean_frame_interval.set((time - last_sample_time) / (SAMPLE_PERIOD as f64));
mean_frame_interval.set(
(time - last_sample_time) / (SAMPLE_PERIOD as f64));
last_sample_time = time;
frames_since_last_sample = 0;
}
@ -676,7 +708,8 @@ pub fn Display() -> View {
// set up the scene
state.assembly.elements.with_untracked(
|elts| for elt in elts {
let selected = state.selection.with(|sel| sel.contains(elt));
let selected =
state.selection.with(|sel| sel.contains(elt));
elt.show(&mut scene, selected);
}
);
@ -691,9 +724,10 @@ pub fn Display() -> View {
ctx.enable_vertex_attrib_array(viewport_position_attr);
// write the spheres in world coordinates
let sphere_reps_world: Vec<_> = scene.spheres.representations.into_iter().map(
|rep| (&asm_to_world * rep).cast::<f32>()
).collect();
let sphere_reps_world: Vec<_> =
scene.spheres.representations.into_iter().map(
|rep| (&asm_to_world * rep).cast::<f32>()
).collect();
// set the resolution
let width = canvas.width() as f32;
@ -729,10 +763,12 @@ pub fn Display() -> View {
// bind the viewport vertex position buffer to the position
// attribute in the vertex shader
bind_to_attribute(&ctx, viewport_position_attr, SPACE_DIM as i32, &viewport_position_buffer);
bind_to_attribute(&ctx, viewport_position_attr,
SPACE_DIM as i32, &viewport_position_buffer);
// draw the scene
ctx.draw_arrays(WebGl2RenderingContext::TRIANGLES, 0, VERTEX_CNT as i32);
ctx.draw_arrays(WebGl2RenderingContext::TRIANGLES, 0,
VERTEX_CNT as i32);
// disable the sphere program's vertex attribute
ctx.disable_vertex_attrib_array(viewport_position_attr);
@ -760,13 +796,19 @@ pub fn Display() -> View {
// load the point positions and colors into new buffers and
// bind them to the corresponding attributes in the vertex
// shader
bind_new_buffer_to_attribute(&ctx, point_position_attr, SPACE_DIM as i32, point_positions.as_slice());
bind_new_buffer_to_attribute(&ctx, point_color_attr, (COLOR_SIZE + 1) as i32, scene.points.colors_with_opacity.concat().as_slice());
bind_new_buffer_to_attribute(&ctx, point_highlight_attr, 1 as i32, scene.points.highlights.as_slice());
bind_new_buffer_to_attribute(&ctx, point_selection_attr, 1 as i32, scene.points.selections.as_slice());
bind_new_buffer_to_attribute(&ctx, point_position_attr,
SPACE_DIM as i32, point_positions.as_slice());
bind_new_buffer_to_attribute(&ctx, point_color_attr,
(COLOR_SIZE + 1) as i32,
scene.points.colors_with_opacity.concat().as_slice());
bind_new_buffer_to_attribute(&ctx, point_highlight_attr,
1i32, scene.points.highlights.as_slice());
bind_new_buffer_to_attribute(&ctx, point_selection_attr,
1i32, scene.points.selections.as_slice());
// draw the scene
ctx.draw_arrays(WebGl2RenderingContext::POINTS, 0, point_positions.ncols() as i32);
ctx.draw_arrays(WebGl2RenderingContext::POINTS, 0,
point_positions.ncols() as i32);
// disable the point program's vertex attributes
ctx.disable_vertex_attrib_array(point_position_attr);
@ -915,7 +957,9 @@ pub fn Display() -> View {
.into_iter()
.filter(|elt| !elt.ghost().get());
for elt in tangible_elts {
match assembly_to_world.with(|asm_to_world| elt.cast(dir, asm_to_world, pixel_size)) {
let target = assembly_to_world.with(
|asm_to_world| elt.cast(dir, asm_to_world, pixel_size));
match target {
Some(depth) => match clicked {
Some((_, best_depth)) => {
if depth < best_depth {

21
app-proto/src/components/outline.rs
View file

@ -63,8 +63,10 @@ fn RegulatorInput(regulator: Rc<dyn Regulator>) -> View {
placeholder = measurement.with(|result| result.to_string()),
bind:value = value,
on:change = move |_| {
let specification =
SpecifiedValue::try_from(value.get_clone_untracked());
valid.set(
match SpecifiedValue::try_from(value.get_clone_untracked()) {
match specification {
Ok(set_pt) => {
set_point.set(set_pt);
true
@ -141,7 +143,9 @@ fn ElementOutlineItem(element: Rc<dyn Element>) -> View {
let class = {
let element_for_class = element.clone();
state.selection.map(
move |sel| if sel.contains(&element_for_class) { "selected" } else { "" }
move |sel|
if sel.contains(&element_for_class) { "selected" }
else { "" }
)
};
let label = element.label().clone();
@ -175,7 +179,8 @@ fn ElementOutlineItem(element: Rc<dyn Element>) -> View {
move |event: KeyboardEvent| {
match event.key().as_str() {
"Enter" => {
state.select(&element_for_handler, event.shift_key());
state.select(&element_for_handler,
event.shift_key());
event.prevent_default();
},
"ArrowRight" if regulated.get() => {
@ -205,18 +210,22 @@ fn ElementOutlineItem(element: Rc<dyn Element>) -> View {
let state_for_handler = state.clone();
let element_for_handler = element.clone();
move |event: MouseEvent| {
state_for_handler.select(&element_for_handler, event.shift_key());
state_for_handler.select(&element_for_handler,
event.shift_key());
event.stop_propagation();
event.prevent_default();
}
}
) {
div(class = "element-label") { (label) }
div(class = "element-representation") { (rep_components) }
div(class = "element-representation") {
(rep_components)
}
input(
r#type = "checkbox",
bind:checked = element.ghost(),
on:click = |event: MouseEvent| event.stop_propagation()
on:click =
|event: MouseEvent| event.stop_propagation()
)
}
}

14
app-proto/src/components/spheres.frag
View file

@ -175,8 +175,9 @@ void main() {
if (debug_mode) {
// at the bottom of the screen, show the color scale instead of the
// layer count
if (gl_FragCoord.y < 10.) layer_cnt = int(16. * gl_FragCoord.x / resolution.x);
if (gl_FragCoord.y < 10.) {
layer_cnt = int(16. * gl_FragCoord.x / resolution.x);
}
// convert number to color
ivec3 bits = layer_cnt / ivec3(1, 2, 4);
vec3 color = mod(vec3(bits), 2.);
@ -217,14 +218,17 @@ void main() {
// highlight intersections
float ixn_dist = intersection_dist(frag, frag_next);
float max_highlight = max(highlight, highlight_next);
float ixn_highlight = 0.5 * max_highlight * (1. - smoothstep(2./3.*ixn_threshold, 1.5*ixn_threshold, ixn_dist));
float ixn_highlight = 0.5 * max_highlight * (1. - smoothstep(
2./3.*ixn_threshold, 1.5*ixn_threshold, ixn_dist));
frag.color = mix(frag.color, vec4(1.), ixn_highlight);
frag_next.color = mix(frag_next.color, vec4(1.), ixn_highlight);
// highlight cusps
float cusp_cos = abs(dot(dir, frag.normal));
float cusp_threshold = 2.*sqrt(ixn_threshold * sphere_list[hit.id].lt.s);
float cusp_highlight = highlight * (1. - smoothstep(2./3.*cusp_threshold, 1.5*cusp_threshold, cusp_cos));
float cusp_threshold = 2.*sqrt(
ixn_threshold * sphere_list[hit.id].lt.s);
float cusp_highlight = highlight * (1. - smoothstep(
2./3.*cusp_threshold, 1.5*cusp_threshold, cusp_cos));
frag.color = mix(frag.color, vec4(1.), cusp_highlight);
// composite the current fragment

129
app-proto/src/components/test_assembly_chooser.rs
View file

@ -167,29 +167,36 @@ fn load_low_curvature(assembly: &Assembly) {
let curvature = plane.regulators().with_untracked(
|regs| regs.first().unwrap().clone()
);
curvature.set_point().set(SpecifiedValue::try_from("0".to_string()).unwrap());
curvature.set_point().set(
SpecifiedValue::try_from("0".to_string()).unwrap());
}
let all_perpendicular = [central.clone()].into_iter()
.chain(sides.clone())
.chain(corners.clone());
for sphere in all_perpendicular {
// make each side and packed sphere perpendicular to the assembly plane
let right_angle = InversiveDistanceRegulator::new([sphere, assemb_plane.clone()]);
right_angle.set_point.set(SpecifiedValue::try_from("0".to_string()).unwrap());
let right_angle = InversiveDistanceRegulator::new(
[sphere, assemb_plane.clone()]);
right_angle.set_point.set(
SpecifiedValue::try_from("0".to_string()).unwrap());
assembly.insert_regulator(Rc::new(right_angle));
}
for sphere in sides.clone().chain(corners.clone()) {
// make each side and corner sphere tangent to the central sphere
let tangency = InversiveDistanceRegulator::new([sphere.clone(), central.clone()]);
tangency.set_point.set(SpecifiedValue::try_from("-1".to_string()).unwrap());
let tangency = InversiveDistanceRegulator::new(
[sphere.clone(), central.clone()]);
tangency.set_point.set(
SpecifiedValue::try_from("-1".to_string()).unwrap());
assembly.insert_regulator(Rc::new(tangency));
}
for (side_index, side) in sides.enumerate() {
// make each side tangent to the two adjacent corner spheres
for (corner_index, corner) in corners.clone().enumerate() {
if side_index != corner_index {
let tangency = InversiveDistanceRegulator::new([side.clone(), corner]);
tangency.set_point.set(SpecifiedValue::try_from("-1".to_string()).unwrap());
let tangency = InversiveDistanceRegulator::new(
[side.clone(), corner]);
tangency.set_point.set(
SpecifiedValue::try_from("-1".to_string()).unwrap());
assembly.insert_regulator(Rc::new(tangency));
}
}
@ -217,12 +224,15 @@ fn load_pointed(assembly: &Assembly) {
for index_y in 0..=1 {
let x = index_x as f64 - 0.5;
let y = index_y as f64 - 0.5;
let x32 = x as f32;
let y32 = y as f32;
let coords =
[0.5*(1.0 + x32), 0.5*(1.0 + y32), 0.5*(1.0 - x32*y32)];
let _ = assembly.try_insert_element(
Sphere::new(
format!("sphere{index_x}{index_y}"),
format!("Sphere {index_x}{index_y}"),
[0.5*(1.0 + x) as f32, 0.5*(1.0 + y) as f32, 0.5*(1.0 - x*y) as f32],
coords,
engine::sphere(x, y, 0.0, 1.0),
)
);
@ -231,7 +241,7 @@ fn load_pointed(assembly: &Assembly) {
Point::new(
format!("point{index_x}{index_y}"),
format!("Point {index_x}{index_y}"),
[0.5*(1.0 + x) as f32, 0.5*(1.0 + y) as f32, 0.5*(1.0 - x*y) as f32],
coords,
engine::point(x, y, 0.0),
)
);
@ -320,19 +330,25 @@ fn load_tridiminished_icosahedron(assembly: &Assembly) {
"face1".to_string(),
"Face 1".to_string(),
COLOR_FACE,
engine::sphere_with_offset(frac_2_sqrt_6, -frac_1_sqrt_6, -frac_1_sqrt_6, -frac_1_sqrt_6, 0.0),
engine::sphere_with_offset(
frac_2_sqrt_6, -frac_1_sqrt_6, -frac_1_sqrt_6,
-frac_1_sqrt_6, 0.0),
),
Sphere::new(
"face2".to_string(),
"Face 2".to_string(),
COLOR_FACE,
engine::sphere_with_offset(-frac_1_sqrt_6, frac_2_sqrt_6, -frac_1_sqrt_6, -frac_1_sqrt_6, 0.0),
engine::sphere_with_offset(
-frac_1_sqrt_6, frac_2_sqrt_6, -frac_1_sqrt_6,
-frac_1_sqrt_6, 0.0),
),
Sphere::new(
"face3".to_string(),
"Face 3".to_string(),
COLOR_FACE,
engine::sphere_with_offset(-frac_1_sqrt_6, -frac_1_sqrt_6, frac_2_sqrt_6, -frac_1_sqrt_6, 0.0),
engine::sphere_with_offset(
-frac_1_sqrt_6, -frac_1_sqrt_6, frac_2_sqrt_6,
-frac_1_sqrt_6, 0.0),
),
];
for face in faces {
@ -357,8 +373,10 @@ fn load_tridiminished_icosahedron(assembly: &Assembly) {
let vertex_a = assembly.elements_by_id.with_untracked(
|elts_by_id| elts_by_id[&format!("a{j}")].clone()
);
let incidence_a = InversiveDistanceRegulator::new([face.clone(), vertex_a.clone()]);
incidence_a.set_point.set(SpecifiedValue::try_from("0".to_string()).unwrap());
let incidence_a = InversiveDistanceRegulator::new(
[face.clone(), vertex_a.clone()]);
incidence_a.set_point.set(
SpecifiedValue::try_from("0".to_string()).unwrap());
assembly.insert_regulator(Rc::new(incidence_a));
// regulate the B-C vertex distances
@ -380,13 +398,16 @@ fn load_tridiminished_icosahedron(assembly: &Assembly) {
let vertex = assembly.elements_by_id.with_untracked(
|elts_by_id| elts_by_id[&format!("{series}{k}")].clone()
);
let incidence = InversiveDistanceRegulator::new([face.clone(), vertex.clone()]);
incidence.set_point.set(SpecifiedValue::try_from("0".to_string()).unwrap());
let incidence = InversiveDistanceRegulator::new(
[face.clone(), vertex.clone()]);
incidence.set_point.set(
SpecifiedValue::try_from("0".to_string()).unwrap());
assembly.insert_regulator(Rc::new(incidence));
// regulate the A-B and A-C vertex distances
assembly.insert_regulator(
Rc::new(InversiveDistanceRegulator::new([vertex_a.clone(), vertex]))
Rc::new(InversiveDistanceRegulator::new(
[vertex_a.clone(), vertex]))
);
}
}
@ -434,7 +455,8 @@ fn load_dodecahedral_packing(assembly: &Assembly) {
const COLOR_A: ElementColor = [1.00_f32, 0.25_f32, 0.00_f32];
const COLOR_B: ElementColor = [1.00_f32, 0.00_f32, 0.25_f32];
const COLOR_C: ElementColor = [0.25_f32, 0.00_f32, 1.00_f32];
let phi = 0.5 + 1.25_f64.sqrt(); /* TO DO */ // replace with std::f64::consts::PHI when that gets stabilized
/* TO DO */ // replace with std::f64::consts::PHI when that gets stabilized
let phi = 0.5 + 1.25_f64.sqrt();
let phi_inv = 1.0 / phi;
let coord_scale = (phi + 2.0).sqrt();
let face_scales = [phi_inv, (13.0 / 12.0) / coord_scale];
@ -501,13 +523,16 @@ fn load_dodecahedral_packing(assembly: &Assembly) {
// make each face sphere perpendicular to the substrate
for face in faces {
let right_angle = InversiveDistanceRegulator::new([face, substrate.clone()]);
right_angle.set_point.set(SpecifiedValue::try_from("0".to_string()).unwrap());
let right_angle = InversiveDistanceRegulator::new(
[face, substrate.clone()]);
right_angle.set_point.set(
SpecifiedValue::try_from("0".to_string()).unwrap());
assembly.insert_regulator(Rc::new(right_angle));
}
// set up the tangencies that define the packing
for [long_edge_plane, short_edge_plane] in [["a", "b"], ["b", "c"], ["c", "a"]] {
for [long_edge_plane, short_edge_plane]
in [["a", "b"], ["b", "c"], ["c", "a"]] {
for k in 0..2 {
let long_edge_ids = [
format!("{long_edge_plane}{k}0"),
@ -526,9 +551,11 @@ fn load_dodecahedral_packing(assembly: &Assembly) {
);
// set up the short-edge tangency
let short_tangency = InversiveDistanceRegulator::new(short_edge.clone());
let short_tangency = InversiveDistanceRegulator::new(
short_edge.clone());
if k == 0 {
short_tangency.set_point.set(SpecifiedValue::try_from("-1".to_string()).unwrap());
short_tangency.set_point.set(
SpecifiedValue::try_from("-1".to_string()).unwrap());
}
assembly.insert_regulator(Rc::new(short_tangency));
@ -539,7 +566,9 @@ fn load_dodecahedral_packing(assembly: &Assembly) {
[long_edge[i].clone(), short_edge[j].clone()]
);
if i == 0 && k == 0 {
side_tangency.set_point.set(SpecifiedValue::try_from("-1".to_string()).unwrap());
side_tangency.set_point.set(
SpecifiedValue::try_from("-1".to_string()).unwrap()
);
}
assembly.insert_regulator(Rc::new(side_tangency));
}
@ -604,7 +633,8 @@ fn load_balanced(assembly: &Assembly) {
// initial configuration deliberately violates these constraints
for inner in [a, b] {
let tangency = InversiveDistanceRegulator::new([outer.clone(), inner]);
tangency.set_point.set(SpecifiedValue::try_from("1".to_string()).unwrap());
tangency.set_point.set(
SpecifiedValue::try_from("1".to_string()).unwrap());
assembly.insert_regulator(Rc::new(tangency));
}
}
@ -712,10 +742,14 @@ fn load_radius_ratio(assembly: &Assembly) {
[0.25_f32, 0.00_f32, 1.00_f32],
].into_iter(),
[
engine::sphere_with_offset(base_dir[0], base_dir[1], base_dir[2], offset, 0.0),
engine::sphere_with_offset(base_dir[0], -base_dir[1], -base_dir[2], offset, 0.0),
engine::sphere_with_offset(-base_dir[0], base_dir[1], -base_dir[2], offset, 0.0),
engine::sphere_with_offset(-base_dir[0], -base_dir[1], base_dir[2], offset, 0.0),
engine::sphere_with_offset(
base_dir[0], base_dir[1], base_dir[2], offset, 0.0),
engine::sphere_with_offset(
base_dir[0], -base_dir[1], -base_dir[2], offset, 0.0),
engine::sphere_with_offset(
-base_dir[0], base_dir[1], -base_dir[2], offset, 0.0),
engine::sphere_with_offset(
-base_dir[0], -base_dir[1], base_dir[2], offset, 0.0),
].into_iter()
).map(
|(k, color, representation)| {
@ -765,8 +799,10 @@ fn load_radius_ratio(assembly: &Assembly) {
}
// put the vertices on the faces
let incidence_regulator = InversiveDistanceRegulator::new([face_j.clone(), vertex_k.clone()]);
incidence_regulator.set_point.set(SpecifiedValue::try_from("0".to_string()).unwrap());
let incidence_regulator = InversiveDistanceRegulator::new(
[face_j.clone(), vertex_k.clone()]);
incidence_regulator.set_point.set(
SpecifiedValue::try_from("0".to_string()).unwrap());
assembly.insert_regulator(Rc::new(incidence_regulator));
}
}
@ -860,25 +896,33 @@ fn load_irisawa_hexlet(assembly: &Assembly) {
|elts_by_id| elts_by_id[&format!("chain{k}")].clone()
)
);
for (chain_sphere, chain_sphere_next) in chain.clone().zip(chain.cycle().skip(1)) {
for (chain_sphere, chain_sphere_next)
in chain.clone().zip(chain.cycle().skip(1)) {
for (other_sphere, inversive_distance) in [
(outer.clone(), "1"),
(sun.clone(), "-1"),
(moon.clone(), "-1"),
(chain_sphere_next.clone(), "-1"),
] {
let tangency = InversiveDistanceRegulator::new([chain_sphere.clone(), other_sphere]);
tangency.set_point.set(SpecifiedValue::try_from(inversive_distance.to_string()).unwrap());
let tangency = InversiveDistanceRegulator::new(
[chain_sphere.clone(), other_sphere]);
tangency.set_point.set(
SpecifiedValue::try_from(
inversive_distance.to_string()).unwrap());
assembly.insert_regulator(Rc::new(tangency));
}
}
let outer_sun_tangency = InversiveDistanceRegulator::new([outer.clone(), sun]);
outer_sun_tangency.set_point.set(SpecifiedValue::try_from("1".to_string()).unwrap());
let outer_sun_tangency = InversiveDistanceRegulator::new(
[outer.clone(), sun]);
outer_sun_tangency.set_point.set(
SpecifiedValue::try_from("1".to_string()).unwrap());
assembly.insert_regulator(Rc::new(outer_sun_tangency));
let outer_moon_tangency = InversiveDistanceRegulator::new([outer.clone(), moon]);
outer_moon_tangency.set_point.set(SpecifiedValue::try_from("1".to_string()).unwrap());
let outer_moon_tangency = InversiveDistanceRegulator::new(
[outer.clone(), moon]);
outer_moon_tangency.set_point.set(
SpecifiedValue::try_from("1".to_string()).unwrap());
assembly.insert_regulator(Rc::new(outer_moon_tangency));
}
@ -912,7 +956,8 @@ pub fn TestAssemblyChooser() -> View {
"general" => load_general(assembly),
"low-curvature" => load_low_curvature(assembly),
"pointed" => load_pointed(assembly),
"tridiminished-icosahedron" => load_tridiminished_icosahedron(assembly),
"tridiminished-icosahedron" =>
load_tridiminished_icosahedron(assembly),
"dodecahedral-packing" => load_dodecahedral_packing(assembly),
"balanced" => load_balanced(assembly),
"off-center" => load_off_center(assembly),
@ -929,7 +974,9 @@ pub fn TestAssemblyChooser() -> View {
option(value = "general") { "General" }
option(value = "low-curvature") { "Low-curvature" }
option(value = "pointed") { "Pointed" }
option(value = "tridiminished-icosahedron") { "Tridiminished icosahedron" }
option(value = "tridiminished-icosahedron") {
"Tridiminished icosahedron"
}
option(value = "dodecahedral-packing") { "Dodecahedral packing" }
option(value = "balanced") { "Balanced" }
option(value = "off-center") { "Off-center" }

119
app-proto/src/engine.rs
View file

@ -9,8 +9,11 @@ pub fn point(x: f64, y: f64, z: f64) -> DVector<f64> {
}
// the sphere with the given center and radius, with inward-pointing normals
pub fn sphere(center_x: f64, center_y: f64, center_z: f64, radius: f64) -> DVector<f64> {
let center_norm_sq = center_x * center_x + center_y * center_y + center_z * center_z;
pub fn sphere(center_x: f64, center_y: f64, center_z: f64, radius: f64)
-> DVector<f64>
{
let center_norm_sq =
center_x * center_x + center_y * center_y + center_z * center_z;
DVector::from_column_slice(&[
center_x / radius,
center_y / radius,
@ -23,7 +26,9 @@ pub fn sphere(center_x: f64, center_y: f64, center_z: f64, radius: f64) -> DVect
// the sphere of curvature `curv` whose closest point to the origin has position
// `off * dir` and normal `dir`, where `dir` is a unit vector. setting the
// curvature to zero gives a plane
pub fn sphere_with_offset(dir_x: f64, dir_y: f64, dir_z: f64, off: f64, curv: f64) -> DVector<f64> {
pub fn sphere_with_offset(
dir_x: f64, dir_y: f64, dir_z: f64, off: f64, curv: f64) -> DVector<f64>
{
let norm_sp = 1.0 + off * curv;
DVector::from_column_slice(&[
norm_sp * dir_x,
@ -200,7 +205,9 @@ impl ConfigSubspace {
// with the given column index has velocity `v`. the velocity is given in
// projection coordinates, and the projection is done with respect to the
// projection inner product
pub fn proj(&self, v: &DVectorView<f64>, column_index: usize) -> DMatrix<f64> {
pub fn proj(&self, v: &DVectorView<f64>, column_index: usize)
-> DMatrix<f64>
{
if self.dim() == 0 {
const ELEMENT_DIM: usize = 5;
DMatrix::zeros(ELEMENT_DIM, self.assembly_dim)
@ -291,7 +298,9 @@ impl SearchState {
}
}
fn basis_matrix(index: (usize, usize), nrows: usize, ncols: usize) -> DMatrix<f64> {
fn basis_matrix(index: (usize, usize), nrows: usize, ncols: usize)
-> DMatrix<f64>
{
let mut result = DMatrix::<f64>::zeros(nrows, ncols);
result[index] = 1.0;
result
@ -414,7 +423,8 @@ pub fn realize_gram(
for _ in 0..max_descent_steps {
// find the negative gradient of the loss function
let neg_grad = 4.0 * &*Q * &state.config * &state.err_proj;
let mut neg_grad_stacked = neg_grad.clone().reshape_generic(Dyn(total_dim), Const::<1>);
let mut neg_grad_stacked =
neg_grad.clone().reshape_generic(Dyn(total_dim), Const::<1>);
history.neg_grad.push(neg_grad.clone());
// find the negative Hessian of the loss function
@ -431,7 +441,8 @@ pub fn realize_gram(
-&basis_mat * &state.err_proj
+ &state.config * &neg_d_err_proj
);
hess_cols.push(deriv_grad.reshape_generic(Dyn(total_dim), Const::<1>));
hess_cols.push(
deriv_grad.reshape_generic(Dyn(total_dim), Const::<1>));
}
}
hess = DMatrix::from_columns(hess_cols.as_slice());
@ -440,7 +451,8 @@ pub fn realize_gram(
let hess_eigvals = hess.symmetric_eigenvalues();
let min_eigval = hess_eigvals.min();
if min_eigval <= 0.0 {
hess -= reg_scale * min_eigval * DMatrix::identity(total_dim, total_dim);
hess -= reg_scale * min_eigval
* DMatrix::identity(total_dim, total_dim);
}
history.hess_eigvals.push(hess_eigvals);
@ -477,7 +489,8 @@ pub fn realize_gram(
},
};
let base_step_stacked = hess_cholesky.solve(&neg_grad_stacked);
let base_step = base_step_stacked.reshape_generic(Dyn(element_dim), Dyn(assembly_dim));
let base_step = base_step_stacked.reshape_generic(
Dyn(element_dim), Dyn(assembly_dim));
history.base_step.push(base_step.clone());
// use backtracking line search to find a better configuration
@ -507,9 +520,12 @@ pub fn realize_gram(
}
// find the kernel of the Hessian. give it the uniform inner product
let tangent = ConfigSubspace::symmetric_kernel(hess, unif_to_std, assembly_dim);
let tangent =
ConfigSubspace::symmetric_kernel(hess, unif_to_std, assembly_dim);
Ok(ConfigNeighborhood { #[cfg(feature = "dev")] config: state.config, nbhd: tangent })
Ok(ConfigNeighborhood {
#[cfg(feature = "dev")] config: state.config, nbhd: tangent
})
} else {
Err("Failed to reach target accuracy".to_string())
};
@ -608,7 +624,8 @@ pub mod examples {
for j in 0..2 {
// diagonal and hinge edges
for k in j..2 {
problem.gram.push_sym(block + j, block + k, if j == k { 0.0 } else { -0.5 });
problem.gram.push_sym(
block + j, block + k, if j == k { 0.0 } else { -0.5 });
}
// non-hinge edges
@ -702,7 +719,8 @@ mod tests {
]);
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.gram.push_sym(
j, k, if (j, k) == (1, 1) { 1.0 } else { 0.0 });
}
}
problem.frozen.push(3, 0, problem.guess[(3, 0)]);
@ -729,7 +747,8 @@ mod tests {
// check against Irisawa's solution
let entry_tol = SCALED_TOL.sqrt();
let solution_diams = [30.0, 10.0, 6.0, 5.0, 15.0, 10.0, 3.75, 2.5, 2.0 + 8.0/11.0];
let solution_diams =
[30.0, 10.0, 6.0, 5.0, 15.0, 10.0, 3.75, 2.5, 2.0 + 8.0/11.0];
for (k, diam) in solution_diams.into_iter().enumerate() {
assert!((config[(3, k)] - 1.0 / diam).abs() < entry_tol);
}
@ -794,22 +813,29 @@ mod tests {
// confirm that the tangent space contains all the motions we expect it
// 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
let tol_sq = ((element_dim * assembly_dim) as f64) * SCALED_TOL * SCALED_TOL;
for (motion_unif, motion_std) in tangent_motions_unif.into_iter().zip(tangent_motions_std) {
let motion_proj: DMatrix<_> = motion_unif.column_iter().enumerate().map(
|(k, v)| tangent.proj(&v, k)
).sum();
let tol_sq = ((element_dim * assembly_dim) as f64)
* SCALED_TOL * SCALED_TOL;
for (motion_unif, motion_std)
in tangent_motions_unif.into_iter().zip(tangent_motions_std) {
let motion_proj: DMatrix<_> =
motion_unif.column_iter().enumerate().map(
|(k, v)| tangent.proj(&v, k)
).sum();
assert!((motion_std - motion_proj).norm_squared() < tol_sq);
}
}
fn translation_motion_unif(vel: &Vector3<f64>, assembly_dim: usize) -> Vec<DVector<f64>> {
fn translation_motion_unif(vel: &Vector3<f64>, assembly_dim: usize)
-> Vec<DVector<f64>>
{
let mut elt_motion = DVector::zeros(4);
elt_motion.fixed_rows_mut::<3>(0).copy_from(vel);
iter::repeat(elt_motion).take(assembly_dim).collect()
}
fn rotation_motion_unif(ang_vel: &Vector3<f64>, points: Vec<DVectorView<f64>>) -> Vec<DVector<f64>> {
fn rotation_motion_unif(
ang_vel: &Vector3<f64>, points: Vec<DVectorView<f64>>
) -> Vec<DVector<f64>> {
points.into_iter().map(
|pt| {
let vel = ang_vel.cross(&pt.fixed_rows::<3>(0));
@ -840,9 +866,12 @@ mod tests {
translation_motion_unif(&Vector3::new(0.0, 0.0, 1.0), assembly_dim),
// the rotations about the coordinate axes
rotation_motion_unif(&Vector3::new(1.0, 0.0, 0.0), config.column_iter().collect()),
rotation_motion_unif(&Vector3::new(0.0, 1.0, 0.0), config.column_iter().collect()),
rotation_motion_unif(&Vector3::new(0.0, 0.0, 1.0), config.column_iter().collect()),
rotation_motion_unif(
&Vector3::new(1.0, 0.0, 0.0), config.column_iter().collect()),
rotation_motion_unif(
&Vector3::new(0.0, 1.0, 0.0), config.column_iter().collect()),
rotation_motion_unif(
&Vector3::new(0.0, 0.0, 1.0), config.column_iter().collect()),
// the twist motion. more precisely: a motion that keeps the center
// of mass stationary and preserves the distances between the
@ -859,8 +888,10 @@ mod tests {
[
DVector::from_column_slice(&[0.0, 0.0, 5.0, 0.0]),
DVector::from_column_slice(&[0.0, 0.0, 1.0, 0.0]),
DVector::from_column_slice(&[-vel_vert_x, -vel_vert_y, -3.0, 0.0]),
DVector::from_column_slice(&[vel_vert_x, vel_vert_y, -3.0, 0.0]),
DVector::from_column_slice(
&[-vel_vert_x, -vel_vert_y, -3.0, 0.0]),
DVector::from_column_slice(
&[vel_vert_x, vel_vert_y, -3.0, 0.0]),
]
}
).collect::<Vec<_>>(),
@ -880,11 +911,14 @@ mod tests {
// confirm that the tangent space contains all the motions we expect it
// 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
let tol_sq = ((element_dim * assembly_dim) as f64) * SCALED_TOL * SCALED_TOL;
for (motion_unif, motion_std) in tangent_motions_unif.into_iter().zip(tangent_motions_std) {
let motion_proj: DMatrix<_> = motion_unif.into_iter().enumerate().map(
|(k, v)| tangent.proj(&v.as_view(), k)
).sum();
let tol_sq = ((element_dim * assembly_dim) as f64)
* SCALED_TOL * SCALED_TOL;
for (motion_unif, motion_std)
in tangent_motions_unif.into_iter().zip(tangent_motions_std) {
let motion_proj: DMatrix<_> =
motion_unif.into_iter().enumerate().map(
|(k, v)| tangent.proj(&v.as_view(), k)
).sum();
assert!((motion_std - motion_proj).norm_squared() < tol_sq);
}
}
@ -913,10 +947,10 @@ mod tests {
problem_orig.gram.push_sym(0, 0, 1.0);
problem_orig.gram.push_sym(1, 1, 1.0);
problem_orig.gram.push_sym(0, 1, 0.5);
let Realization { result: result_orig, history: history_orig } = realize_gram(
&problem_orig, SCALED_TOL, 0.5, 0.9, 1.1, 200, 110
);
let ConfigNeighborhood { config: config_orig, nbhd: tangent_orig } = result_orig.unwrap();
let Realization { result: result_orig, history: history_orig } =
realize_gram(&problem_orig, SCALED_TOL, 0.5, 0.9, 1.1, 200, 110);
let ConfigNeighborhood { config: config_orig, nbhd: tangent_orig } =
result_orig.unwrap();
assert_eq!(config_orig, problem_orig.guess);
assert_eq!(history_orig.scaled_loss.len(), 1);
@ -934,10 +968,10 @@ mod tests {
frozen: problem_orig.frozen,
guess: guess_tfm,
};
let Realization { result: result_tfm, history: history_tfm } = realize_gram(
&problem_tfm, SCALED_TOL, 0.5, 0.9, 1.1, 200, 110
);
let ConfigNeighborhood { config: config_tfm, nbhd: tangent_tfm } = result_tfm.unwrap();
let Realization { result: result_tfm, history: history_tfm } =
realize_gram(&problem_tfm, SCALED_TOL, 0.5, 0.9, 1.1, 200, 110);
let ConfigNeighborhood { config: config_tfm, nbhd: tangent_tfm } =
result_tfm.unwrap();
assert_eq!(config_tfm, problem_tfm.guess);
assert_eq!(history_tfm.scaled_loss.len(), 1);
@ -948,7 +982,8 @@ mod tests {
// project the equivalent nudge to the tangent space of the solution
// variety at the transformed solution
let motion_tfm = DVector::from_column_slice(&[FRAC_1_SQRT_2, 0.0, FRAC_1_SQRT_2, 0.0]);
let motion_tfm = DVector::from_column_slice(
&[FRAC_1_SQRT_2, 0.0, FRAC_1_SQRT_2, 0.0]);
let motion_tfm_proj = tangent_tfm.proj(&motion_tfm.as_view(), 0);
// take the transformation that sends the original solution to the
@ -969,7 +1004,9 @@ mod tests {
// the comparison tolerance because the transformation seems to
// introduce some numerical error
const SCALED_TOL_TFM: f64 = 1.0e-9;
let tol_sq = ((problem_orig.guess.nrows() * problem_orig.guess.ncols()) as f64) * SCALED_TOL_TFM * SCALED_TOL_TFM;
let tol_sq = ((problem_orig.guess.nrows()
* problem_orig.guess.ncols()) as f64)
* SCALED_TOL_TFM * SCALED_TOL_TFM;
assert!((motion_proj_tfm - motion_tfm_proj).norm_squared() < tol_sq);
}
}