navaltoolbox 0.9.2

High-performance naval architecture library for hydrostatics, stability, and tank calculations
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
// Copyright (C) 2026 Antoine ANCEAU
//
// This file is part of navaltoolbox.
//
// navaltoolbox is free software: you can redistribute it and/or modify
// it under the terms of the GNU Affero General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU Affero General Public License for more details.
//
// You should have received a copy of the GNU Affero General Public License
// along with this program. If not, see <https://www.gnu.org/licenses/>.

//! Axis-aligned plane mesh clipping with watertight cap generation.
//!
//! Custom Sutherland-Hodgman style clipper that:
//! 1. Clips triangles at a specified plane (X, Y, or Z)
//! 2. Reconstructs cut edge loops
//! 3. Triangulates loops with earcutr for watertight caps

use nalgebra::{Point2, Point3};
use ordered_float::OrderedFloat;
use parry3d_f64::shape::TriMesh;
use std::collections::{HashMap, HashSet};

const EPSILON: f64 = 1e-6;

#[derive(Debug, Clone, Copy, PartialEq)]
pub enum Axis {
    X,
    Y,
    Z,
}

/// Type alias for vertex map with OrderedFloat coordinates
type VertexKey = (OrderedFloat<f64>, OrderedFloat<f64>, OrderedFloat<f64>);
type VertexMap = HashMap<VertexKey, u32>;

/// Helper to convert f64 Point3 to OrderedFloat point for hashing
fn to_ordered(p: &Point3<f64>) -> Point3<OrderedFloat<f64>> {
    Point3::new(OrderedFloat(p.x), OrderedFloat(p.y), OrderedFloat(p.z))
}

fn get_component(p: &Point3<f64>, axis: Axis) -> f64 {
    match axis {
        Axis::X => p.x,
        Axis::Y => p.y,
        Axis::Z => p.z,
    }
}

/// Canonical plane intersection for bit-exact shared edge handling.
fn intersect_segment_plane_canonical(
    p1: &Point3<f64>,
    p2: &Point3<f64>,
    axis: Axis,
    plane_val: f64,
) -> Point3<f64> {
    // Sort to ensure consistency regardless of edge direction
    let (a, b) = if p1.x < p2.x || (p1.x == p2.x && (p1.y < p2.y || (p1.y == p2.y && p1.z < p2.z)))
    {
        (p1, p2)
    } else {
        (p2, p1)
    };

    let val_a = get_component(a, axis);
    let val_b = get_component(b, axis);

    // Avoid division by zero for parallel edges
    if (val_b - val_a).abs() < 1e-12 {
        return *a;
    }

    let t = (plane_val - val_a) / (val_b - val_a);

    Point3::new(
        a.x + t * (b.x - a.x),
        a.y + t * (b.y - a.y),
        a.z + t * (b.z - a.z),
    )
}

/// Clips a mesh at the given Z (draft) plane, returning a closed (watertight) mesh and the waterplane area.
/// Keeps volume below `draft`.
pub fn clip_at_waterline(mesh: &TriMesh, draft: f64) -> (Option<TriMesh>, f64) {
    clip_by_axis_aligned_plane(mesh, Axis::Z, draft, true)
}

/// Clips a mesh by an axis-aligned plane.
/// Returns (Clipped Mesh, Cap Area).
pub fn clip_by_axis_aligned_plane(
    mesh: &TriMesh,
    axis: Axis,
    value: f64,
    keep_lower: bool,
) -> (Option<TriMesh>, f64) {
    let vertices = mesh.vertices();
    let indices = mesh.indices();

    let mut new_vertices = Vec::new();
    let mut new_indices = Vec::new();
    let mut cut_segments: Vec<(Point3<f64>, Point3<f64>)> = Vec::new();

    let mut vertex_map: VertexMap = HashMap::new();

    let mut get_or_add_vertex = |p: Point3<f64>| -> u32 {
        let key = (OrderedFloat(p.x), OrderedFloat(p.y), OrderedFloat(p.z));
        if let Some(&idx) = vertex_map.get(&key) {
            idx
        } else {
            let idx = new_vertices.len() as u32;
            new_vertices.push(p);
            vertex_map.insert(key, idx);
            idx
        }
    };

    let is_inside = |p: &Point3<f64>| -> bool {
        let v = get_component(p, axis);
        if keep_lower {
            v <= value + EPSILON
        } else {
            v >= value - EPSILON
        }
    };

    for tri in indices {
        let v0 = vertices[tri[0] as usize];
        let v1 = vertices[tri[1] as usize];
        let v2 = vertices[tri[2] as usize];

        let b0 = is_inside(&v0);
        let b1 = is_inside(&v1);
        let b2 = is_inside(&v2);

        match (b0, b1, b2) {
            (true, true, true) => {
                let i0 = get_or_add_vertex(v0);
                let i1 = get_or_add_vertex(v1);
                let i2 = get_or_add_vertex(v2);
                new_indices.push([i0, i1, i2]);
            }
            (false, false, false) => {}
            (true, false, false) => {
                let int1 = intersect_segment_plane_canonical(&v0, &v1, axis, value);
                let int2 = intersect_segment_plane_canonical(&v0, &v2, axis, value);
                let i0 = get_or_add_vertex(v0);
                let i1 = get_or_add_vertex(int1);
                let i2 = get_or_add_vertex(int2);
                new_indices.push([i0, i1, i2]);
                cut_segments.push((int1, int2));
            }
            (false, true, false) => {
                let int0 = intersect_segment_plane_canonical(&v1, &v0, axis, value);
                let int2 = intersect_segment_plane_canonical(&v1, &v2, axis, value);
                let i0 = get_or_add_vertex(int0);
                let i1 = get_or_add_vertex(v1);
                let i2 = get_or_add_vertex(int2);
                new_indices.push([i0, i1, i2]);
                cut_segments.push((int2, int0));
            }
            (false, false, true) => {
                let int0 = intersect_segment_plane_canonical(&v2, &v0, axis, value);
                let int1 = intersect_segment_plane_canonical(&v2, &v1, axis, value);
                let i0 = get_or_add_vertex(int0);
                let i1 = get_or_add_vertex(int1);
                let i2 = get_or_add_vertex(v2);
                new_indices.push([i0, i1, i2]);
                cut_segments.push((int0, int1));
            }
            (false, true, true) => {
                let int1 = intersect_segment_plane_canonical(&v0, &v1, axis, value);
                let int2 = intersect_segment_plane_canonical(&v0, &v2, axis, value);
                let iv1 = get_or_add_vertex(v1);
                let iv2 = get_or_add_vertex(v2);
                let i_int1 = get_or_add_vertex(int1);
                let i_int2 = get_or_add_vertex(int2);
                new_indices.push([i_int1, iv1, iv2]);
                new_indices.push([i_int1, iv2, i_int2]);
                cut_segments.push((int2, int1));
            }
            (true, false, true) => {
                let int0 = intersect_segment_plane_canonical(&v1, &v0, axis, value);
                let int2 = intersect_segment_plane_canonical(&v1, &v2, axis, value);
                let iv0 = get_or_add_vertex(v0);
                let iv2 = get_or_add_vertex(v2);
                let i_int0 = get_or_add_vertex(int0);
                let i_int2 = get_or_add_vertex(int2);
                new_indices.push([iv0, i_int0, iv2]);
                new_indices.push([i_int0, i_int2, iv2]);
                cut_segments.push((int0, int2));
            }
            (true, true, false) => {
                let int0 = intersect_segment_plane_canonical(&v2, &v0, axis, value);
                let int1 = intersect_segment_plane_canonical(&v2, &v1, axis, value);
                let iv0 = get_or_add_vertex(v0);
                let iv1 = get_or_add_vertex(v1);
                let i_int0 = get_or_add_vertex(int0);
                let i_int1 = get_or_add_vertex(int1);
                new_indices.push([iv0, iv1, i_int1]);
                new_indices.push([iv0, i_int1, i_int0]);
                cut_segments.push((int1, int0));
            }
        }
    }

    if new_indices.is_empty() {
        return (None, 0.0);
    }

    // --- CAP GENERATION ---
    let mut total_cap_area = 0.0;
    let mut adjacency: HashMap<Point3<OrderedFloat<f64>>, Point3<OrderedFloat<f64>>> =
        HashMap::new();
    for (start, end) in &cut_segments {
        let s = to_ordered(start);
        let e = to_ordered(end);
        adjacency.insert(s, e);
    }

    let mut visited: HashSet<Point3<OrderedFloat<f64>>> = HashSet::new();
    let keys: Vec<_> = adjacency.keys().cloned().collect();

    for start_node in keys {
        if visited.contains(&start_node) {
            continue;
        }

        let mut loop_pts_2d = Vec::new();
        let mut loop_pts_3d = Vec::new();
        let mut curr = start_node;
        let mut closed = false;
        // Limit iterations to prevent infinite loops on malformed meshes
        let max_iter = adjacency.len() + 1;

        for _ in 0..max_iter {
            if visited.contains(&curr) {
                if curr == start_node {
                    closed = true;
                }
                break;
            }
            visited.insert(curr);

            let p3d = Point3::new(curr.x.0, curr.y.0, curr.z.0);
            loop_pts_3d.push(p3d);

            // Project to 2D
            let p2d = match axis {
                Axis::Z => Point2::new(curr.x.0, curr.y.0), // XY
                Axis::X => Point2::new(curr.y.0, curr.z.0), // YZ
                Axis::Y => Point2::new(curr.z.0, curr.x.0), // ZX
            };
            loop_pts_2d.push(p2d);

            if let Some(&next) = adjacency.get(&curr) {
                curr = next;
            } else {
                break;
            }
        }

        if closed && loop_pts_2d.len() >= 3 {
            let mut flat_verts = Vec::with_capacity(loop_pts_2d.len() * 2);
            // Calculate polygon area using shoelace formula
            let mut area = 0.0;
            let n = loop_pts_2d.len();
            for i in 0..n {
                let p1 = loop_pts_2d[i];
                let p2 = loop_pts_2d[(i + 1) % n];
                area += (p1.x * p2.y) - (p2.x * p1.y);

                flat_verts.push(p1.x);
                flat_verts.push(p1.y);
            }
            total_cap_area += (area / 2.0).abs();

            let hole_indices: Vec<usize> = vec![];
            if let Ok(indices) = earcutr::earcut(&flat_verts, &hole_indices, 2) {
                for i in (0..indices.len()).step_by(3) {
                    let idx0 = indices[i];
                    let idx1 = indices[i + 1];
                    let idx2 = indices[i + 2];

                    let p0 = loop_pts_3d[idx0];
                    let p1 = loop_pts_3d[idx1];
                    let p2 = loop_pts_3d[idx2];

                    // Note: Depending on keep_lower/keep_upper and axis, the winding might need reversal.
                    // Earcutr usually outputs CCW.
                    // If keep_lower=true, Cap Normal is +Axis.
                    // Loop projection:
                    // Z (XY): U=x, V=y. Normal +Z. CCW in XY is correct.
                    // X (YZ): U=y, V=z. Normal +X. CCW in YZ (viewed from +X) is correct.
                    // Y (ZX): U=z, V=x. Normal +Y. CCW in ZX (viewed from +Y) is correct?
                    //   (z, x) -> (0,0) (1,0) (0,1).
                    //   3D: (0,0,0) (0,1,0)? No:
                    //   (0,0,0) -> (z=0, x=0).
                    //   (1,0,0) -> (z=0, x=1).
                    //   (0,0,1) -> (z=1, x=0).
                    //   CCW in (z,x): (0,0)->(1,0)->(0,1).
                    //   Points: (0, ?, 0), (1, ?, 0), (0, ?, 1).
                    //   Cross product?
                    //   v1-v0 = (1, 0, 0). v2-v0 = (0, 0, 1).
                    //   (1,0,0) x (0,0,1) = (0, -1, 0).
                    //   Normal points -Y.
                    //   But we want +Y (if keep_lower=true).
                    //   So for Y axis using (z,x) projection, we might need to swap?

                    // Actually, let's just create the triangle and rely on `TriMesh` fix or consistency.
                    // Or check `earcutr` output.
                    // For Y axis specifically:
                    // If we use (z, x): Normal (-Y) comes out.
                    // If we use (x, z): Normal (+Y) comes out.
                    // X x Z = -Y.
                    // Z x X = Y.
                    // So (z, x) corresponds to Y normal.
                    // Wait: Base vectors i, j, k.
                    // k x i = j.
                    // So (z, x) is indeed the pair giving +Y normal if CCW.
                    // Example: origin, pt on Z axis (0,0,1), pt on X axis (1,0,0).
                    // 2D: (0,0) -> (1,0) -> (0,1) [CCW].
                    // 3D: (0,0,0) -> (0,0,1) -> (1,0,0).
                    // v1=(0,0,1). v2=(1,0,0).
                    // v1 x v2 = (0, 1, 0). +Y.
                    // Correct!

                    // So projection (z, x) is correct for +Y normal.

                    // However, we need to respect the `keep_lower` parameter.
                    // If keep_lower=true: Cap Normal +Axis. (Standard winding).
                    // If keep_lower=false: Cap Normal -Axis. (Reverse winding).

                    let (p0, p1, p2) = if keep_lower {
                        (p0, p1, p2)
                    } else {
                        (p0, p2, p1)
                    };

                    let i0 = get_or_add_vertex(p0);
                    let i1 = get_or_add_vertex(p1);
                    let i2 = get_or_add_vertex(p2);
                    new_indices.push([i0, i1, i2]);
                }
            }
        }
    }

    (TriMesh::new(new_vertices, new_indices).ok(), total_cap_area)
}

#[cfg(test)]
mod tests {
    use super::*;
    use parry3d_f64::shape::Shape;

    fn create_unit_cube() -> TriMesh {
        let vertices = vec![
            Point3::new(0.0, 0.0, 0.0),
            Point3::new(1.0, 0.0, 0.0),
            Point3::new(1.0, 1.0, 0.0),
            Point3::new(0.0, 1.0, 0.0),
            Point3::new(0.0, 0.0, 1.0),
            Point3::new(1.0, 0.0, 1.0),
            Point3::new(1.0, 1.0, 1.0),
            Point3::new(0.0, 1.0, 1.0),
        ];

        let indices = vec![
            [0, 2, 1],
            [0, 3, 2], // Bottom
            [4, 5, 6],
            [4, 6, 7], // Top
            [0, 1, 5],
            [0, 5, 4], // Front
            [2, 3, 7],
            [2, 7, 6], // Back
            [0, 4, 7],
            [0, 7, 3], // Left
            [1, 2, 6],
            [1, 6, 5], // Right
        ];

        TriMesh::new(vertices, indices).expect("Failed to create test cube")
    }

    #[test]
    fn test_clip_cube_at_half_z() {
        let cube = create_unit_cube();
        let (output, area) = clip_by_axis_aligned_plane(&cube, Axis::Z, 0.5, true);
        if let Some(clipped) = output {
            let mass_props = clipped.mass_properties(1.0);
            let volume = mass_props.mass();
            assert!((volume - 0.5).abs() < 1e-6, "Volume was {}", volume);
            assert!((mass_props.local_com.z - 0.25).abs() < 1e-6);
            assert!((area - 1.0).abs() < 1e-6, "Waterplane Area was {}", area);
        } else {
            panic!("Clipping failed");
        }
    }

    #[test]
    fn test_clip_cube_at_half_x() {
        let cube = create_unit_cube();
        let (output, _area) = clip_by_axis_aligned_plane(&cube, Axis::X, 0.5, true);
        if let Some(clipped) = output {
            let mass_props = clipped.mass_properties(1.0);
            let volume = mass_props.mass();
            assert!((volume - 0.5).abs() < 1e-6, "Volume was {}", volume);
        } else {
            panic!("Clipping failed");
        }
    }
}