#![allow(dead_code)]
use std::f32::consts::FRAC_1_SQRT_2;
#[allow(dead_code)]
#[derive(Debug, Clone)]
pub struct AreaGradientResult {
pub face_areas: Vec<f32>,
pub gradients: Vec<[f32; 3]>,
}
#[allow(dead_code)]
pub fn triangle_area(v0: [f32; 3], v1: [f32; 3], v2: [f32; 3]) -> f32 {
let e1 = [v1[0] - v0[0], v1[1] - v0[1], v1[2] - v0[2]];
let e2 = [v2[0] - v0[0], v2[1] - v0[1], v2[2] - v0[2]];
let cx = e1[1] * e2[2] - e1[2] * e2[1];
let cy = e1[2] * e2[0] - e1[0] * e2[2];
let cz = e1[0] * e2[1] - e1[1] * e2[0];
0.5 * (cx * cx + cy * cy + cz * cz).sqrt()
}
#[allow(dead_code)]
pub fn cross3(a: [f32; 3], b: [f32; 3]) -> [f32; 3] {
[
a[1] * b[2] - a[2] * b[1],
a[2] * b[0] - a[0] * b[2],
a[0] * b[1] - a[1] * b[0],
]
}
#[allow(dead_code)]
pub fn safe_normalize(v: [f32; 3]) -> [f32; 3] {
let len = (v[0] * v[0] + v[1] * v[1] + v[2] * v[2]).sqrt();
if len < 1e-12 {
[0.0; 3]
} else {
[v[0] / len, v[1] / len, v[2] / len]
}
}
#[allow(dead_code)]
pub fn compute_area_gradients(positions: &[[f32; 3]], indices: &[u32]) -> AreaGradientResult {
let tri_count = indices.len() / 3;
let mut face_areas = Vec::with_capacity(tri_count);
let mut gradients = Vec::with_capacity(tri_count);
#[allow(clippy::needless_range_loop)]
for t in 0..tri_count {
let i0 = indices[t * 3] as usize;
let i1 = indices[t * 3 + 1] as usize;
let i2 = indices[t * 3 + 2] as usize;
let v0 = positions[i0];
let v1 = positions[i1];
let v2 = positions[i2];
let area = triangle_area(v0, v1, v2);
face_areas.push(area);
let e1 = [v1[0] - v0[0], v1[1] - v0[1], v1[2] - v0[2]];
let e2 = [v2[0] - v0[0], v2[1] - v0[1], v2[2] - v0[2]];
let n = cross3(e1, e2);
gradients.push(safe_normalize(n));
}
AreaGradientResult {
face_areas,
gradients,
}
}
#[allow(dead_code)]
pub fn gradient_face_count(r: &AreaGradientResult) -> usize {
r.face_areas.len()
}
#[allow(dead_code)]
pub fn total_area(r: &AreaGradientResult) -> f32 {
r.face_areas.iter().sum()
}
#[allow(dead_code)]
pub fn max_face_area(r: &AreaGradientResult) -> f32 {
r.face_areas.iter().cloned().fold(0.0_f32, f32::max)
}
#[allow(dead_code)]
pub fn min_face_area(r: &AreaGradientResult) -> f32 {
r.face_areas.iter().cloned().fold(f32::MAX, f32::min)
}
#[allow(dead_code)]
pub fn avg_face_area(r: &AreaGradientResult) -> f32 {
if r.face_areas.is_empty() {
return 0.0;
}
total_area(r) / r.face_areas.len() as f32
}
#[allow(dead_code)]
pub fn get_gradient(r: &AreaGradientResult, face: usize) -> Option<[f32; 3]> {
r.gradients.get(face).copied()
}
#[allow(dead_code)]
pub fn area_gradient_to_json(r: &AreaGradientResult) -> String {
format!(
"{{\"faces\":{},\"total_area\":{:.6},\"frac_1_sqrt_2\":{:.6}}}",
gradient_face_count(r),
total_area(r),
FRAC_1_SQRT_2
)
}
#[cfg(test)]
mod tests {
use super::*;
fn unit_tri() -> (Vec<[f32; 3]>, Vec<u32>) {
(
vec![[0.0, 0.0, 0.0], [1.0, 0.0, 0.0], [0.0, 1.0, 0.0]],
vec![0, 1, 2],
)
}
#[test]
fn test_triangle_area() {
let a = triangle_area([0.0, 0.0, 0.0], [1.0, 0.0, 0.0], [0.0, 1.0, 0.0]);
assert!((a - 0.5).abs() < 1e-6);
}
#[test]
fn test_cross3() {
let c = cross3([1.0, 0.0, 0.0], [0.0, 1.0, 0.0]);
assert!((c[2] - 1.0).abs() < 1e-6);
}
#[test]
fn test_safe_normalize_zero() {
let n = safe_normalize([0.0, 0.0, 0.0]);
assert!((n[0]).abs() < 1e-6);
}
#[test]
fn test_compute_area_gradients() {
let (pos, idx) = unit_tri();
let r = compute_area_gradients(&pos, &idx);
assert_eq!(gradient_face_count(&r), 1);
}
#[test]
fn test_total_area() {
let (pos, idx) = unit_tri();
let r = compute_area_gradients(&pos, &idx);
assert!((total_area(&r) - 0.5).abs() < 1e-5);
}
#[test]
fn test_max_min_area() {
let (pos, idx) = unit_tri();
let r = compute_area_gradients(&pos, &idx);
assert!((max_face_area(&r) - min_face_area(&r)).abs() < 1e-6);
}
#[test]
fn test_avg_face_area() {
let (pos, idx) = unit_tri();
let r = compute_area_gradients(&pos, &idx);
assert!((avg_face_area(&r) - 0.5).abs() < 1e-5);
}
#[test]
fn test_get_gradient() {
let (pos, idx) = unit_tri();
let r = compute_area_gradients(&pos, &idx);
assert!(get_gradient(&r, 0).is_some());
assert!(get_gradient(&r, 99).is_none());
}
#[test]
fn test_to_json() {
let (pos, idx) = unit_tri();
let r = compute_area_gradients(&pos, &idx);
let j = area_gradient_to_json(&r);
assert!(j.contains("\"faces\":1"));
}
#[test]
fn test_empty() {
let r = compute_area_gradients(&[], &[]);
assert_eq!(gradient_face_count(&r), 0);
assert!((avg_face_area(&r)).abs() < 1e-6);
}
}