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// Copyright 2026 Lars Brubaker
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
// Phase 9: smoothing/tangent generation — ported from cpp-reference/manifold/src/smoothing.cpp
use std::collections::HashMap;
use crate::impl_mesh::ManifoldImpl;
use crate::linalg::{cross, dot, length, Mat3, Vec3, Vec4};
use crate::math;
use crate::types::{K_PI, K_TWO_PI, Smoothness, TriRef};
/// Minimum sharp angle in degrees, below which edges are considered coplanar.
/// Floating point noise in the dihedral angle computation can reach ~1e-6
/// degrees for nearly-parallel face normals; this threshold must exceed that.
const K_MIN_SHARP_ANGLE: f64 = 1e-4;
#[inline]
pub(super) fn vec3_from_vec4(v: Vec4) -> Vec3 {
Vec3::new(v.x, v.y, v.z)
}
#[inline]
pub(super) fn safe_normalize(v: Vec3) -> Vec3 {
let len2 = dot(v, v);
if len2 <= 0.0 || !len2.is_finite() {
Vec3::new(0.0, 0.0, 0.0)
} else {
v / len2.sqrt()
}
}
pub(super) fn wrap(radians: f64) -> f64 {
if radians < -K_PI {
radians + K_TWO_PI
} else if radians > K_PI {
radians - K_TWO_PI
} else {
radians
}
}
pub(super) fn angle_between(a: Vec3, b: Vec3) -> f64 {
let d = dot(a, b);
if d >= 1.0 {
0.0
} else if d <= -1.0 {
K_PI
} else {
math::acos(d)
}
}
/// Two normals are considered equal when their normalized dot product exceeds
/// 0.9999 (~0.81°). Per C++ #1671 this tolerance replaces the old exact /
/// `kPrecision`-squared comparisons in the tangent-generation code.
pub(super) fn equal_normals(a: Vec3, b: Vec3) -> bool {
dot(safe_normalize(a), safe_normalize(b)) > 0.9999
}
pub fn circular_tangent(tangent: Vec3, edge_vec: Vec3) -> Vec4 {
let dir = safe_normalize(tangent);
let weight = 0.5f64.max(dot(dir, safe_normalize(edge_vec)));
let bz2 = Vec4::new(
dir.x * 0.5 * length(edge_vec),
dir.y * 0.5 * length(edge_vec),
dir.z * 0.5 * length(edge_vec),
weight,
);
let bz3 = Vec4::new(
bz2.x * (2.0 / 3.0),
bz2.y * (2.0 / 3.0),
bz2.z * (2.0 / 3.0),
1.0 + (bz2.w - 1.0) * (2.0 / 3.0),
);
Vec4::new(bz3.x / bz3.w, bz3.y / bz3.w, bz3.z / bz3.w, bz3.w)
}
pub(super) fn collect_vertex_cycle(mesh: &ManifoldImpl, start: usize) -> Vec<usize> {
let mut cycle = Vec::new();
let mut current = start;
loop {
cycle.push(current);
let paired = mesh.halfedge[current].paired_halfedge;
if paired < 0 {
break;
}
current = crate::impl_mesh::next_halfedge(paired) as usize;
if current == start {
break;
}
}
cycle
}
impl ManifoldImpl {
pub fn get_normal(&self, halfedge: usize, normal_idx: usize) -> Vec3 {
let prop = self.halfedge[halfedge].prop_vert as usize;
let base = prop * self.num_prop + normal_idx;
let normal = Vec3::new(
self.properties[base],
self.properties[base + 1],
self.properties[base + 2],
);
// Per #1718: hasNormals=true means CalculateNormals (or a flagged
// round-trip) wrote world-frame values, kept world-frame through
// Transform/Compose — return them directly. Without the flag, treat
// the slot as per-mesh frame and re-rotate to world (legacy contract
// for hand-built MeshGL inputs that don't set the bit).
let mesh_id = self.mesh_relation.tri_ref[halfedge / 3].mesh_id;
match self.mesh_relation.mesh_id_transform.get(&mesh_id) {
Some(rel) if !rel.has_normals => rel.get_normal_transform() * normal,
_ => normal,
}
}
pub fn tangent_from_normal(&self, normal: Vec3, halfedge: usize) -> Vec4 {
let edge = self.halfedge[halfedge];
let edge_vec = self.vert_pos[edge.end_vert as usize] - self.vert_pos[edge.start_vert as usize];
let edge_normal =
self.face_normal[halfedge / 3] + self.face_normal[edge.paired_halfedge as usize / 3];
// Per C++ #1671 (More smoothing fixes): pick the bi-tangent from the
// edge pseudo-normal or the supplied normal depending on their
// relative orientation, then cross with the normal. This is more
// numerically robust than the old single cross-of-cross form.
let bi_tangent = if dot(normal, edge_normal) < 0.0 {
cross(edge_normal, edge_vec)
} else {
cross(normal, edge_vec)
};
circular_tangent(cross(bi_tangent, normal), edge_vec)
}
pub fn is_inside_quad(&self, halfedge: usize) -> bool {
if !self.halfedge_tangent.is_empty() {
return self.halfedge_tangent[halfedge].w < 0.0;
}
let tri = halfedge / 3;
let ref_tri = self.mesh_relation.tri_ref[tri];
let pair = self.halfedge[halfedge].paired_halfedge as usize;
let pair_tri = pair / 3;
let pair_ref = self.mesh_relation.tri_ref[pair_tri];
if !ref_tri.same_face(&pair_ref) {
return false;
}
let same_face = |edge_idx: usize, reference: TriRef| -> bool {
let pair = self.halfedge[edge_idx].paired_halfedge as usize / 3;
reference.same_face(&self.mesh_relation.tri_ref[pair])
};
let mut neighbor = crate::impl_mesh::next_halfedge(halfedge as i32) as usize;
if same_face(neighbor, ref_tri) {
return false;
}
neighbor = crate::impl_mesh::next_halfedge(neighbor as i32) as usize;
if same_face(neighbor, ref_tri) {
return false;
}
neighbor = crate::impl_mesh::next_halfedge(pair as i32) as usize;
if same_face(neighbor, pair_ref) {
return false;
}
neighbor = crate::impl_mesh::next_halfedge(neighbor as i32) as usize;
if same_face(neighbor, pair_ref) {
return false;
}
true
}
pub fn is_marked_inside_quad(&self, halfedge: usize) -> bool {
// Check for kInsideQuad == -1.0 exactly (distinct from kMissingNormal == -3.0)
!self.halfedge_tangent.is_empty() && self.halfedge_tangent[halfedge].w == -1.0
}
pub fn update_sharpened_edges(&self, sharpened_edges: &[Smoothness]) -> Vec<Smoothness> {
let mut old_halfedge_to_new = HashMap::new();
for tri in 0..self.num_tri() {
let old_tri = self.mesh_relation.tri_ref[tri].face_id;
for i in 0..3 {
old_halfedge_to_new.insert((3 * old_tri + i as i32) as usize, 3 * tri + i);
}
}
let mut out = sharpened_edges.to_vec();
for edge in &mut out {
if let Some(&new_edge) = old_halfedge_to_new.get(&edge.halfedge) {
edge.halfedge = new_edge;
}
}
out
}
pub fn flat_faces(&self) -> Vec<bool> {
let num_tri = self.num_tri();
let mut tri_is_flat_face = vec![false; num_tri];
for tri in 0..num_tri {
let reference = self.mesh_relation.tri_ref[tri];
let mut face_neighbors = 0;
let mut face_tris = [-1; 3];
for j in 0..3 {
let neighbor_tri = self.halfedge[3 * tri + j].paired_halfedge as usize / 3;
let j_ref = self.mesh_relation.tri_ref[neighbor_tri];
if j_ref.same_face(&reference) {
face_neighbors += 1;
face_tris[j] = neighbor_tri as i32;
}
}
if face_neighbors > 1 {
tri_is_flat_face[tri] = true;
for j in 0..3 {
if face_tris[j] >= 0 {
tri_is_flat_face[face_tris[j] as usize] = true;
}
}
}
}
tri_is_flat_face
}
pub fn vert_flat_face(&self, flat_faces: &[bool]) -> Vec<i32> {
let mut vert_flat_face = vec![-1; self.num_vert()];
let mut vert_ref = vec![TriRef::default(); self.num_vert()];
for tri in 0..self.num_tri() {
if flat_faces[tri] {
for j in 0..3 {
let vert = self.halfedge[3 * tri + j].start_vert as usize;
if vert_ref[vert].same_face(&self.mesh_relation.tri_ref[tri]) {
continue;
}
vert_ref[vert] = self.mesh_relation.tri_ref[tri];
vert_flat_face[vert] = if vert_flat_face[vert] == -1 { tri as i32 } else { -2 };
}
}
}
vert_flat_face
}
/// Port of C++ Manifold::Impl::SetNormals()
/// Fills in vertex properties with unshared normals across edges bent
/// more than minSharpAngle (in degrees).
pub fn set_normals(&mut self, normal_idx: i32, min_sharp_angle: f64) {
if self.is_empty() || normal_idx < 0 {
return;
}
// Clamp to avoid treating nearly-coplanar faces as sharp due to
// floating point noise in the dihedral computation (~1e-6 degrees).
let min_sharp_angle = min_sharp_angle.max(K_MIN_SHARP_ANGLE);
let normal_idx = normal_idx as usize;
let old_num_prop = self.num_prop;
// Count sharp edges per vertex. Per C++ #1724 (Fix CalculateNormals),
// SetNormals no longer special-cases flat faces — an edge is sharp iff
// its dihedral exceeds min_sharp_angle. `angle_between` matches C++'s
// AngleBetween helper (acos with ±1 clamping), the #1634 form.
let mut vert_num_sharp = vec![0i32; self.num_vert()];
for e in 0..self.halfedge.len() {
if !self.halfedge[e].is_forward() {
continue;
}
let pair = self.halfedge[e].paired_halfedge as usize;
let tri1 = e / 3;
let tri2 = pair / 3;
let dihedral =
angle_between(self.face_normal[tri1], self.face_normal[tri2]).to_degrees();
if dihedral > min_sharp_angle {
vert_num_sharp[self.halfedge[e].start_vert as usize] += 1;
vert_num_sharp[self.halfedge[e].end_vert as usize] += 1;
}
}
// Expand properties to accommodate normals.
// orig_props: old data at old stride (old_num_prop per vert)
// new_properties: output buffer at new stride (num_prop per vert)
let num_prop = old_num_prop.max(normal_idx + 3);
let num_prop_vert = self.num_prop_vert();
let orig_props = std::mem::take(&mut self.properties); // compact original
let mut new_properties = vec![0.0f64; num_prop * num_prop_vert];
self.num_prop = num_prop;
// Save old prop assignments and reset
let old_halfedge_prop: Vec<i32> = self.halfedge.iter().map(|h| h.prop_vert).collect();
for h in self.halfedge.iter_mut() {
h.prop_vert = -1;
}
// Build per-mesh-id inverse normal transform cache.
// Matches C++ SetNormals which applies GetInverseNormalTransform() to each vertex's normal
// before writing to properties, so that GetNormal (which applies GetNormalTransform()) can
// correctly reconstruct the world-space normal.
let mut mesh_id_to_inv_transform: HashMap<i32, Mat3> = HashMap::new();
let num_edge = self.halfedge.len();
for start_edge in 0..num_edge {
if self.halfedge[start_edge].prop_vert >= 0 {
continue;
}
let vert = self.halfedge[start_edge].start_vert as usize;
// Look up the inverse normal transform for this vertex's mesh.
let mesh_id = self.mesh_relation.tri_ref[start_edge / 3].mesh_id;
let inv_transform = *mesh_id_to_inv_transform.entry(mesh_id).or_insert_with(|| {
self.mesh_relation
.mesh_id_transform
.get(&mesh_id)
.map(|rel| rel.get_inverse_normal_transform())
.unwrap_or_else(Mat3::identity)
});
if vert_num_sharp[vert] < 2 {
// Vertex has single normal. Per #1724 this is always the vertex
// pseudo-normal (no flat-face substitution).
let world_normal = self.vert_normal[vert];
// Per #1718: slot 0 (standard) stores world-frame directly — the
// eager-transform contract keeps it in sync with vert_pos /
// face_normal. Legacy non-zero idx stores per-mesh frame, which
// get_mesh_gl's run transform recovers to world on export.
let normal = if normal_idx == 0 {
world_normal
} else {
inv_transform * world_normal
};
let mut last_prop: i32 = -1;
// ForVert traversal
let mut current = start_edge;
loop {
let prop = old_halfedge_prop[current];
self.halfedge[current].prop_vert = prop;
if prop != last_prop {
last_prop = prop;
// Copy old properties using old stride, write into new stride
let dst_start = (prop as usize) * num_prop;
let src_start = (prop as usize) * old_num_prop;
for p in 0..old_num_prop.min(num_prop) {
if src_start + p < orig_props.len() {
new_properties[dst_start + p] = orig_props[src_start + p];
}
}
// Set normal
new_properties[prop as usize * num_prop + normal_idx] = normal.x;
new_properties[prop as usize * num_prop + normal_idx + 1] = normal.y;
new_properties[prop as usize * num_prop + normal_idx + 2] = normal.z;
}
current = crate::types::next_halfedge(
self.halfedge[current].paired_halfedge,
) as usize;
if current == start_edge {
break;
}
}
} else {
// Vertex has multiple normals
let center_pos = self.vert_pos[vert];
let mut group: Vec<usize> = Vec::new();
let mut normals: Vec<Vec3> = Vec::new();
// Find a sharp edge to start on
let mut current = start_edge;
let mut prev_face = current / 3;
loop {
let next = crate::types::next_halfedge(
self.halfedge[current].paired_halfedge,
) as usize;
let face = next / 3;
let dihedral =
angle_between(self.face_normal[face], self.face_normal[prev_face])
.to_degrees();
if dihedral > min_sharp_angle {
break;
}
current = next;
prev_face = face;
if current == start_edge {
break;
}
}
let end_edge = current;
// Calculate pseudo-normals between each sharp edge.
// Mirrors C++ ForVert<FaceEdge>(endEdge, transform, binaryOp):
// here = transform(endEdge); current = endEdge;
// do { next = transform(NextHalfedge(current.paired));
// binaryOp(current, here, next); here = next; current = next_halfedge;
// } while (current != endEdge);
// normals starts EMPTY — first sharp edge creates group 0.
// Per #1724 the edge vector is simply the normalized direction
// from the center vertex to the far end of the halfedge; the
// old quad/flair-out tangent logic was removed.
let get_edge_vec = |he: usize| -> Vec3 {
let end_v = self.halfedge[he].end_vert as usize;
safe_normalize(self.vert_pos[end_v] - center_pos)
};
let mut here_face = end_edge / 3;
let mut here_ev = get_edge_vec(end_edge);
current = end_edge;
loop {
let next_he = crate::types::next_halfedge(
self.halfedge[current].paired_halfedge,
) as usize;
let next_face = next_he / 3;
let mut next_ev = get_edge_vec(next_he);
// Check for sharp edge between here and next.
let dihedral =
angle_between(self.face_normal[here_face], self.face_normal[next_face])
.to_degrees();
if dihedral > min_sharp_angle {
normals.push(Vec3::splat(0.0));
}
group.push(normals.len() - 1);
// Accumulate angle-weighted normal (C++: cross(next.edgeVec, here.edgeVec)).
if next_ev.x.is_finite() {
let c = cross(next_ev, here_ev);
let angle = angle_between(here_ev, next_ev);
*normals.last_mut().unwrap() =
*normals.last().unwrap() + safe_normalize(c) * angle;
} else {
next_ev = here_ev;
}
here_face = next_face;
here_ev = next_ev;
current = next_he;
if current == end_edge {
break;
}
}
// Per #1724: transform into the storage frame first, then
// normalize. Per #1718: only the legacy non-zero idx applies the
// inv_transform; slot 0 stores world-frame directly.
for n in normals.iter_mut() {
*n = if normal_idx == 0 {
safe_normalize(*n)
} else {
safe_normalize(inv_transform * *n)
};
}
// Assign property vertices.
// Mirrors C++ ForVert(endEdge, func) which advances BEFORE visiting:
// do { current = NextHalfedge(paired); func(current); } while (current != endEdge)
// So endEdge itself is visited LAST (gets group[N-1]), not first.
let mut last_group: usize = 0;
let mut last_prop: i32 = -1;
let mut new_prop: i32 = -1;
let mut idx = 0usize;
current = crate::types::next_halfedge(
self.halfedge[end_edge].paired_halfedge,
) as usize;
loop {
let prop = old_halfedge_prop[current];
let g = if idx < group.len() { group[idx] } else { 0 };
if g != last_group && g != 0 && prop == last_prop {
// Split property vertex
last_group = g;
new_prop = (new_properties.len() / num_prop) as i32;
new_properties.resize(new_properties.len() + num_prop, 0.0);
let src_start = (prop as usize) * old_num_prop;
for p in 0..old_num_prop.min(num_prop) {
if src_start + p < orig_props.len() {
new_properties[new_prop as usize * num_prop + p] = orig_props[src_start + p];
}
}
if g < normals.len() {
new_properties[new_prop as usize * num_prop + normal_idx] = normals[g].x;
new_properties[new_prop as usize * num_prop + normal_idx + 1] = normals[g].y;
new_properties[new_prop as usize * num_prop + normal_idx + 2] = normals[g].z;
}
} else if prop != last_prop {
// Update property vertex
last_prop = prop;
new_prop = prop;
let dst_start = (prop as usize) * num_prop;
let src_start = (prop as usize) * old_num_prop;
for p in 0..old_num_prop.min(num_prop) {
if src_start + p < orig_props.len() {
new_properties[dst_start + p] = orig_props[src_start + p];
}
}
if g < normals.len() {
new_properties[prop as usize * num_prop + normal_idx] = normals[g].x;
new_properties[prop as usize * num_prop + normal_idx + 1] = normals[g].y;
new_properties[prop as usize * num_prop + normal_idx + 2] = normals[g].z;
}
}
self.halfedge[current].prop_vert = new_prop;
idx += 1;
let next_current = crate::types::next_halfedge(
self.halfedge[current].paired_halfedge,
) as usize;
// Stop after visiting end_edge (C++ stops when current == halfedge)
if current == end_edge {
break;
}
current = next_current;
}
}
}
self.properties = new_properties;
}
}
// Tangent-related methods (vert_halfedge, sharpen_edges, sharpen_tangent,
// linearize_flat_tangents, distribute_tangents, create_tangents_from_normals,
// create_tangents) extracted to smoothing_tangents.rs
#[path = "smoothing_tangents.rs"]
mod smoothing_tangents;
#[cfg(test)]
#[path = "smoothing_tests.rs"]
mod tests;