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// 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/>.
//! Stability calculator.
//!
//! Calculates KN and GZ curves.
use super::complete::{CompleteStabilityResult, WindHeelingData};
use super::{StabilityCurve, StabilityPoint};
use crate::hydrostatics::HydrostaticsCalculator;
use crate::mesh::{clip_at_waterline, transform_mesh, transform_point};
use crate::vessel::Vessel;
use nalgebra::Point3;
use parry3d_f64::shape::Shape;
/// Calculator for stability analysis (KN and GZ curves).
pub struct StabilityCalculator<'a> {
vessel: &'a Vessel,
water_density: f64,
}
impl<'a> StabilityCalculator<'a> {
/// Creates a new stability calculator.
pub fn new(vessel: &'a Vessel, water_density: f64) -> Self {
Self {
vessel,
water_density,
}
}
/// Calculates the GZ curve for a specific loading condition.
///
/// # Arguments
/// * `displacement_mass` - Target displacement in kg
/// * `cog` - Center of gravity (LCG, TCG, VCG)
/// * `heels` - List of heel angles in degrees
///
/// This function uses parallel processing (Rayon) for improved performance.
pub fn gz_curve(&self, displacement_mass: f64, cog: [f64; 3], heels: &[f64]) -> StabilityCurve {
use crate::hull::Hull;
use crate::vessel::Vessel;
use rayon::prelude::*;
// Configuration
const SIMPLIFICATION_THRESHOLD: usize = 2000;
const TARGET_TRIANGLES: usize = 1000;
// Pre-calculate constant geometric properties
let bounds = self.vessel.get_bounds();
let center_x = (bounds.0 + bounds.1) / 2.0;
let center_y = (bounds.2 + bounds.3) / 2.0;
let z_min = bounds.4;
let z_max = bounds.5;
// Calculate total mass and volume
let ship_mass = displacement_mass;
let ship_cog = cog;
let total_fluid_mass: f64 = self.vessel.tanks().iter().map(|t| t.fluid_mass()).sum();
let total_mass = ship_mass + total_fluid_mass;
let target_volume = total_mass / self.water_density;
// Mesh Simplification Logic
let total_triangles: usize = self.vessel.hulls().iter().map(|h| h.num_triangles()).sum();
let simplified_vessel_storage = if total_triangles > SIMPLIFICATION_THRESHOLD {
let simplified_hulls: Vec<Hull> = self
.vessel
.hulls()
.iter()
.map(|h| h.to_simplified(TARGET_TRIANGLES))
.collect();
// Note: new_multi creates a vessel without tanks/openings, which is fine for equilibrium search
Vessel::new_multi(simplified_hulls).ok()
} else {
None
};
// Determine which calculator to use for the SEARCH phase.
// We handle the 'borrow checking' by constructing the proxy calculator inside the scope
// or using reference.
// Since we need to use it inside parallel loop, we create a reference wrapper?
// Actually, we can just decide inside the loop or create a struct.
// Simplest: pass the relevant `&Vessel` to finding functions, but those are methods on Calculator.
// So we create a `proxy_calc` here.
let proxy_calc = if let Some(ref v) = simplified_vessel_storage {
StabilityCalculator::new(v, self.water_density)
} else {
StabilityCalculator::new(self.vessel, self.water_density)
};
// Warm start: compute upright equilibrium using PROXY
let upright_draft = proxy_calc.find_draft_for_volume(
target_volume,
0.0,
0.0,
center_x,
center_y,
z_min,
z_max,
None,
);
// Parallel processing
let points: Vec<StabilityPoint> = heels
.par_iter()
.map(|&heel| {
// 1. Calculate Effective COG (using tanks from ORIGINAL vessel)
let mut total_moment_x = ship_mass * ship_cog[0];
let mut total_moment_y = ship_mass * ship_cog[1];
let mut total_moment_z = ship_mass * ship_cog[2];
if total_fluid_mass > 0.0 {
for tank in self.vessel.tanks() {
let mass = tank.fluid_mass();
if mass > 0.0 {
let tank_cog = tank.center_of_gravity_at(heel, 0.0);
total_moment_x += mass * tank_cog[0];
total_moment_y += mass * tank_cog[1];
total_moment_z += mass * tank_cog[2];
}
}
}
let effective_cog = if total_mass > 1e-6 {
[
total_moment_x / total_mass,
total_moment_y / total_mass,
total_moment_z / total_mass,
]
} else {
ship_cog
};
// 2. Find Equilibrium (using PROXY calculator)
// Note: We use proxy_calc which might use simplified mesh
let (draft, trim, _approx_gz) = proxy_calc.find_equilibrium_at_heel(
target_volume,
effective_cog,
heel,
0.0,
Some(upright_draft),
center_x,
center_y,
z_min,
z_max,
);
// 3. Calculate Exact GZ (using ORIGINAL/SELF calculator)
// If proxy was used, the GZ returned is approx. computation on simplified mesh.
// We MUST recompute GZ on the full mesh for accuracy.
// If NO proxy was used, proxy_calc IS self, so _approx_gz IS exact.
// However, re-running one computation is negligible compared to the search.
// Optimally:
let gz = if simplified_vessel_storage.is_some() {
self.compute_gz_at_state(draft, trim, heel, effective_cog, center_x, center_y)
} else {
_approx_gz // Already computed on full mesh
};
// 4. Check Downflooding (using ORIGINAL vessel)
let pivot = [center_x, center_y, draft];
let flooded_openings = crate::downflooding::check_openings_submerged(
self.vessel.downflooding_openings(),
heel,
trim,
pivot,
draft,
);
let is_flooding = !flooded_openings.is_empty();
StabilityPoint {
heel,
draft,
trim,
value: gz,
is_flooding,
flooded_openings,
}
})
.collect();
StabilityCurve::new_gz(displacement_mass, cog, points)
}
/// Computes GZ at a specific state using the current (full) vessel geometry.
///
/// Helper for refinement step after simplified search.
fn compute_gz_at_state(
&self,
draft: f64,
trim: f64,
heel: f64,
cog: [f64; 3],
center_x: f64, // Bounds center for pivot
center_y: f64,
) -> f64 {
let pivot = Point3::new(center_x, center_y, draft);
let mut total_volume = 0.0;
let mut total_moment = [0.0f64; 3];
for hull in self.vessel.hulls() {
let transformed = transform_mesh(hull.mesh(), heel, trim, pivot);
let (clipped, _) = clip_at_waterline(&transformed, draft);
if let Some(mesh) = clipped {
let mass_props = mesh.mass_properties(1.0);
let vol = mass_props.mass();
let com = mass_props.local_com;
total_volume += vol;
total_moment[0] += vol * com.x;
total_moment[1] += vol * com.y;
total_moment[2] += vol * com.z;
}
}
if total_volume <= 0.0 {
return 0.0;
}
// TCB
let tcb = total_moment[1] / total_volume;
// Transform Ship COG
let g_ship = Point3::new(cog[0], cog[1], cog[2]);
let g_transformed = transform_point(g_ship, heel, trim, pivot);
// GZ = -(B_y - G_y)
-(tcb - g_transformed.y)
}
/// Calculates KN curves (Righting Lever from Keel) for multiple displacements.
///
/// This is equivalent to calculating GZ curves with VCG = 0.
/// Returns one curve per displacement, useful for cross-curves of stability.
///
/// # Arguments
/// * `displacements` - List of target displacements in kg
/// * `lcg` - Longitudinal Center of Gravity (m)
/// * `tcg` - Transverse Center of Gravity (m)
/// * `heels` - List of heel angles in degrees
pub fn kn_curve(
&self,
displacements: &[f64],
lcg: f64,
tcg: f64,
heels: &[f64],
) -> Vec<StabilityCurve> {
// KN is GZ calculated with VCG = 0 (Keel as reference).
let cog = [lcg, tcg, 0.0];
displacements
.iter()
.map(|&disp| self.gz_curve(disp, cog, heels))
.collect()
}
/// Find draft for target volume at given heel and trim.
///
/// Uses warm start: if initial_draft is provided, uses it as starting point
/// for faster convergence.
#[allow(clippy::too_many_arguments)]
fn find_draft_for_volume(
&self,
target_volume: f64,
heel: f64,
trim: f64,
center_x: f64,
center_y: f64,
z_min: f64,
z_max: f64,
initial_draft: Option<f64>,
) -> f64 {
let tolerance = target_volume * 1e-4;
let max_iter = 50;
// Warm start: use initial_draft if provided, otherwise use midpoint
let (mut low, mut high) = if let Some(init) = initial_draft {
// Start search around initial draft with a reasonable margin
let margin = (z_max - z_min) * 0.2;
((init - margin).max(z_min), (init + margin).min(z_max))
} else {
(z_min, z_max)
};
// Initial guess
let mut mid = if let Some(init) = initial_draft {
init.clamp(low, high)
} else {
(low + high) / 2.0
};
for _ in 0..max_iter {
let pivot = Point3::new(center_x, center_y, mid);
let mut total_volume = 0.0;
let mut total_aw = 0.0;
for hull in self.vessel.hulls() {
let transformed = transform_mesh(hull.mesh(), heel, trim, pivot);
if let (Some(mesh), aw) = clip_at_waterline(&transformed, mid) {
total_volume += mesh.mass_properties(1.0).mass();
total_aw += aw;
}
}
let diff = total_volume - target_volume;
if diff.abs() < tolerance {
return mid;
}
// Update bounds (Volume is monotonic)
if diff > 0.0 {
high = mid;
} else {
low = mid;
}
// Newton step: z_new = z - diff / Aw
// Safe Newton: if step falls in bounds, use it. Else bisection.
if total_aw > 1e-9 {
let step = diff / total_aw;
let z_new = mid - step;
if z_new > low && z_new < high {
mid = z_new;
continue;
}
}
// Fallback to bisection
mid = (low + high) / 2.0;
}
(low + high) / 2.0
}
/// Find equilibrium state at a specific heel angle.
///
/// Optimized: Combines draft search and property calculation in a single pass
/// to avoid redundant mesh operations.
#[allow(clippy::too_many_arguments)]
fn find_equilibrium_at_heel(
&self,
target_volume: f64,
cog: [f64; 3],
heel: f64,
initial_trim: f64,
initial_draft: Option<f64>,
center_x: f64,
center_y: f64,
z_min: f64,
z_max: f64,
) -> (f64, f64, f64) {
let lcb_tolerance = 0.5;
let volume_tolerance = target_volume * 1e-4;
let max_trim_iter = 15;
let max_draft_iter = 50;
let mut trim = initial_trim;
let mut best_draft = initial_draft.unwrap_or((z_min + z_max) / 2.0);
let mut best_trim = trim;
let mut best_gz = 0.0;
let mut best_error = f64::INFINITY;
// Warm start bounds for draft search
let mut draft_low = z_min;
let mut draft_high = z_max;
if let Some(init) = initial_draft {
let margin = (z_max - z_min) * 0.2;
draft_low = (init - margin).max(z_min);
draft_high = (init + margin).min(z_max);
}
for _ in 0..max_trim_iter {
// Find draft for target volume using bisection
// Start draft search with current bounds
let mut low = draft_low;
let mut high = draft_high;
// Use best_draft as initial guess if available and within bounds
let mut mid = best_draft.clamp(low, high);
let mut final_draft = mid;
let mut final_volume = 0.0;
let mut final_moment = [0.0f64; 3];
for _ in 0..max_draft_iter {
let pivot = Point3::new(center_x, center_y, mid);
// Single-pass: compute volume, moment, AND waterplane area for Newton
let mut total_volume = 0.0;
let mut total_moment = [0.0f64; 3];
let mut total_aw = 0.0;
for hull in self.vessel.hulls() {
let transformed = transform_mesh(hull.mesh(), heel, trim, pivot);
if let (Some(mesh), aw) = clip_at_waterline(&transformed, mid) {
let mass_props = mesh.mass_properties(1.0);
let vol = mass_props.mass();
let com = mass_props.local_com;
total_volume += vol;
total_moment[0] += vol * com.x;
total_moment[1] += vol * com.y;
total_moment[2] += vol * com.z;
total_aw += aw;
}
}
let diff = total_volume - target_volume;
// Store the latest values
final_draft = mid;
final_volume = total_volume;
final_moment = total_moment;
if diff.abs() < volume_tolerance {
break;
}
// Update Bounds
if diff > 0.0 {
high = mid;
} else {
low = mid;
}
// Safe Newton Step
if total_aw > 1e-9 {
let step = diff / total_aw;
let z_new = mid - step;
if z_new > low && z_new < high {
mid = z_new;
continue;
}
}
// Fallback Bisection
mid = (low + high) / 2.0;
}
// Use cached COB values from the converged draft (no recomputation!)
if final_volume <= 0.0 {
continue;
}
let lcb = final_moment[0] / final_volume;
let tcb = final_moment[1] / final_volume;
let pivot = Point3::new(center_x, center_y, final_draft);
// Transform CoG
let g_ship = Point3::new(cog[0], cog[1], cog[2]);
let g_transformed = transform_point(g_ship, heel, trim, pivot);
// GZ = -(B_y - G_y)
let gz = -(tcb - g_transformed.y);
// LCB error
let lcb_error = (lcb - g_transformed.x).abs();
if lcb_error < best_error {
best_error = lcb_error;
best_draft = final_draft;
best_trim = trim;
best_gz = gz;
// Update warm start bounds for next trim iteration
let margin = (z_max - z_min) * 0.1;
draft_low = (final_draft - margin).max(z_min);
draft_high = (final_draft + margin).min(z_max);
}
if lcb_error < lcb_tolerance {
return (final_draft, trim, gz);
}
// Adjust trim
let trim_gain = 0.05;
trim += (lcb - g_transformed.x) * trim_gain;
trim = trim.clamp(-10.0, 10.0);
}
(best_draft, best_trim, best_gz)
}
/// Calculate complete stability analysis for a loading condition.
///
/// Combines hydrostatic calculations, GZ curve, and wind heeling data
/// (if silhouettes are available) for a single loading condition.
///
/// # Arguments
/// * `displacement_mass` - Target displacement in kg (ship mass, tanks are added)
/// * `cog` - Center of gravity (LCG, TCG, VCG) for the ship portion
/// * `heels` - Heel angles for GZ curve calculation in degrees
///
/// # Returns
/// A `CompleteStabilityResult` containing:
/// - Hydrostatic state at equilibrium (GM0, draft, trim, etc.)
/// - GZ curve for the specified heel angles
/// - Wind heeling data (if silhouettes exist)
pub fn complete_stability(
&self,
displacement_mass: f64,
cog: [f64; 3],
heels: &[f64],
) -> CompleteStabilityResult {
// Calculate hydrostatics at equilibrium
let hydro_calc = HydrostaticsCalculator::new(self.vessel, self.water_density);
let hydrostatics = hydro_calc
.from_displacement(displacement_mass, None, Some(cog), None, None)
.unwrap_or_default();
// Calculate GZ curve
let gz_curve = self.gz_curve(displacement_mass, cog, heels);
// Calculate wind heeling data if silhouettes exist
let wind_data = if self.vessel.has_silhouettes() {
let waterline_z = hydrostatics.draft;
let emerged_area = self.vessel.get_total_emerged_area(waterline_z);
let emerged_centroid = self.vessel.get_combined_emerged_centroid(waterline_z);
if emerged_area > 0.0 {
Some(WindHeelingData::new(
emerged_area,
emerged_centroid,
waterline_z,
))
} else {
None
}
} else {
None
};
CompleteStabilityResult::new(hydrostatics, gz_curve, wind_data, displacement_mass, cog)
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::hull::Hull;
use nalgebra::Point3;
use parry3d_f64::shape::TriMesh;
fn create_box_hull(loa: f64, boa: f64, depth: f64) -> Hull {
let hb = boa / 2.0;
let vertices = vec![
Point3::new(0.0, -hb, 0.0),
Point3::new(loa, -hb, 0.0),
Point3::new(loa, hb, 0.0),
Point3::new(0.0, hb, 0.0),
Point3::new(0.0, -hb, depth),
Point3::new(loa, -hb, depth),
Point3::new(loa, hb, depth),
Point3::new(0.0, hb, depth),
];
let indices = vec![
[0, 2, 1],
[0, 3, 2],
[4, 5, 6],
[4, 6, 7],
[0, 1, 5],
[0, 5, 4],
[2, 3, 7],
[2, 7, 6],
[0, 4, 7],
[0, 7, 3],
[1, 2, 6],
[1, 6, 5],
];
let mesh = TriMesh::new(vertices, indices).unwrap();
Hull::from_mesh(mesh)
}
#[test]
fn test_gz_at_zero_heel() {
let hull = create_box_hull(10.0, 10.0, 10.0);
let vessel = Vessel::new(hull);
let calc = StabilityCalculator::new(&vessel, 1025.0);
let cog = [5.0, 0.0, 2.0]; // Center of box, low VCG
let displacement = 500.0 * 1025.0; // 500 m³ at 5m draft
let curve = calc.gz_curve(displacement, cog, &[0.0]);
// At zero heel for symmetric hull, GZ should be ~0
assert!(
curve.points[0].value.abs() < 0.01,
"GZ at 0 heel = {}",
curve.points[0].value
);
}
#[test]
fn test_fsc_gz_reduction() {
use crate::tanks::Tank;
let hull = create_box_hull(10.0, 10.0, 10.0);
let mut vessel = Vessel::new(hull);
// Add tank with free surface
// 5x5x2 tank, 50% fill, water density inside
let tank = Tank::from_box("FSC_Test", 0.0, 5.0, -2.5, 2.5, 0.0, 2.0, 1000.0);
let mut tank = tank;
tank.set_fill_percent(50.0);
vessel.add_tank(tank.clone());
let calc = StabilityCalculator::new(&vessel, 1025.0);
let target_total_displacement = 500.0 * 1025.0; // 500m³ * 1.025
let tank_mass = tank.fluid_mass();
// Since calculator adds tank mass, we subtract it from input to keep total same
let ship_mass = target_total_displacement - tank_mass;
// Ship COG. We want the Total Upright COG to be [0,0,5] for comparison.
// Total_Moment = Ship_M + Tank_M = Total_Mass * Total_COG
// Ship_M = Total_M - Tank_M
// Ship_COG = (Total_M * Target_COG - Tank_M * Tank_COG) / Ship_Mass
// Tank is at z=0..2 (centered at z=1). COG_tank = [0, 0, 0.5] approx (for 50% full? 0..1m filled -> z=0.5)
// Let's assume input cog is just the ship cog and we accept the resulting total cog
// but for the verification logic (GG' reduction), we need to know the effective VCG.
//
// SIMPLIFICATION:
// Let's just run the dry case with the same TOTAL properties (Mass, COG) as the wet case's UPRIGHT state.
let ship_cog = [0.0, 0.0, 5.0];
let heel: f64 = 10.0;
// Calculate GZ with FSC (Wet)
let curve_wet = calc.gz_curve(ship_mass, ship_cog, &[heel]);
let gz_wet = curve_wet.points[0].value;
// Calculate Dry reference
// We need the exact total mass and exact upright COG of the wet vessel to match
let total_mass = ship_mass + tank_mass;
let tank_cog_upright = tank.center_of_gravity();
let total_cog_z = (ship_mass * ship_cog[2] + tank_mass * tank_cog_upright[2]) / total_mass;
// X and Y are 0.
let total_cog = [0.0, 0.0, total_cog_z];
vessel.remove_tank(0);
let calc_dry = StabilityCalculator::new(&vessel, 1025.0);
let curve_dry = calc_dry.gz_curve(total_mass, total_cog, &[heel]);
let gz_dry = curve_dry.points[0].value;
// Theoretical Reduction GG'
// FSM * rho / Total_Mass
let output_reduction = gz_dry - gz_wet;
let fsm_inertia = 5.0 * 5.0f64.powi(3) / 12.0;
let correction_gg = (fsm_inertia * 1000.0) / total_mass;
let expected_reduction = correction_gg * heel.to_radians().sin();
assert!(
(output_reduction - expected_reduction).abs() < 0.02, // slightly looser tolerance for dynamic method
"FSC Reduction mismatch. Expected: {:.4}, Actual: {:.4}, Dry: {:.4}, Wet: {:.4}",
expected_reduction,
output_reduction,
gz_dry,
gz_wet
);
}
}