1use nalgebra::{Vector3, Vector6};
10use std::collections::HashMap;
11
12use crate::derivatives::compute_derivatives;
13use crate::wind::WindSegment;
14use crate::BallisticInputs;
15use crate::DragModel;
16
17fn rk4_step(
19 state: &Vector6<f64>,
20 t: f64,
21 dt: f64,
22 params: &TrajectoryParams,
23 inputs: &BallisticInputs,
24) -> Vector6<f64> {
25 let k1 = compute_derivatives_vec(state, t, params, inputs);
27 let k2 = compute_derivatives_vec(&(state + dt * 0.5 * k1), t + dt * 0.5, params, inputs);
28 let k3 = compute_derivatives_vec(&(state + dt * 0.5 * k2), t + dt * 0.5, params, inputs);
29 let k4 = compute_derivatives_vec(&(state + dt * k3), t + dt, params, inputs);
30
31 state + (dt / 6.0) * (k1 + 2.0 * k2 + 2.0 * k3 + k4)
32}
33
34fn rk45_step(
36 state: &Vector6<f64>,
37 t: f64,
38 dt: f64,
39 params: &TrajectoryParams,
40 inputs: &BallisticInputs,
41 tol: f64,
42) -> (Vector6<f64>, f64, f64) {
43 const A21: f64 = 1.0 / 5.0;
45 const A31: f64 = 3.0 / 40.0;
46 const A32: f64 = 9.0 / 40.0;
47 const A41: f64 = 44.0 / 45.0;
48 const A42: f64 = -56.0 / 15.0;
49 const A43: f64 = 32.0 / 9.0;
50 const A51: f64 = 19372.0 / 6561.0;
51 const A52: f64 = -25360.0 / 2187.0;
52 const A53: f64 = 64448.0 / 6561.0;
53 const A54: f64 = -212.0 / 729.0;
54 const A61: f64 = 9017.0 / 3168.0;
55 const A62: f64 = -355.0 / 33.0;
56 const A63: f64 = 46732.0 / 5247.0;
57 const A64: f64 = 49.0 / 176.0;
58 const A65: f64 = -5103.0 / 18656.0;
59 const A71: f64 = 35.0 / 384.0;
60 const A73: f64 = 500.0 / 1113.0;
61 const A74: f64 = 125.0 / 192.0;
62 const A75: f64 = -2187.0 / 6784.0;
63 const A76: f64 = 11.0 / 84.0;
64
65 const B1: f64 = 35.0 / 384.0;
67 const B3: f64 = 500.0 / 1113.0;
68 const B4: f64 = 125.0 / 192.0;
69 const B5: f64 = -2187.0 / 6784.0;
70 const B6: f64 = 11.0 / 84.0;
71
72 const B1_ERR: f64 = 5179.0 / 57600.0;
74 const B3_ERR: f64 = 7571.0 / 16695.0;
75 const B4_ERR: f64 = 393.0 / 640.0;
76 const B5_ERR: f64 = -92097.0 / 339200.0;
77 const B6_ERR: f64 = 187.0 / 2100.0;
78 const B7_ERR: f64 = 1.0 / 40.0;
79
80 let k1 = compute_derivatives_vec(state, t, params, inputs);
82 let k2 = compute_derivatives_vec(&(state + dt * A21 * k1), t + dt * 0.2, params, inputs);
83 let k3 =
84 compute_derivatives_vec(&(state + dt * (A31 * k1 + A32 * k2)), t + dt * 0.3, params, inputs);
85 let k4 = compute_derivatives_vec(
86 &(state + dt * (A41 * k1 + A42 * k2 + A43 * k3)),
87 t + dt * 0.8,
88 params,
89 inputs,
90 );
91 let k5 = compute_derivatives_vec(
92 &(state + dt * (A51 * k1 + A52 * k2 + A53 * k3 + A54 * k4)),
93 t + dt * 8.0 / 9.0,
94 params,
95 inputs,
96 );
97 let k6 = compute_derivatives_vec(
98 &(state + dt * (A61 * k1 + A62 * k2 + A63 * k3 + A64 * k4 + A65 * k5)),
99 t + dt,
100 params,
101 inputs,
102 );
103 let k7 = compute_derivatives_vec(
104 &(state + dt * (A71 * k1 + A73 * k3 + A74 * k4 + A75 * k5 + A76 * k6)),
105 t + dt,
106 params,
107 inputs,
108 );
109
110 let y_new = state + dt * (B1 * k1 + B3 * k3 + B4 * k4 + B5 * k5 + B6 * k6);
112
113 let y_err = state
115 + dt * (B1_ERR * k1 + B3_ERR * k3 + B4_ERR * k4 + B5_ERR * k5 + B6_ERR * k6 + B7_ERR * k7);
116
117 let error = (y_new - y_err).norm() / (1.0 + state.norm());
119
120 let safety = 0.9;
122 let dt_new = if error < tol {
123 dt * safety * (tol / error).powf(0.2).min(2.0)
124 } else {
125 dt * safety * (tol / error).powf(0.25).max(0.1)
126 };
127
128 (y_new, dt_new, error)
129}
130
131pub struct TrajectoryParams {
133 pub mass_kg: f64,
134 pub bc: f64,
135 pub drag_model: DragModel,
136 pub wind_segments: Vec<WindSegment>,
137 pub atmos_params: (f64, f64, f64, f64),
138 pub omega_vector: Option<Vector3<f64>>,
139 pub enable_spin_drift: bool,
140 pub enable_magnus: bool,
141 pub enable_coriolis: bool,
142 pub target_distance_m: f64, pub enable_wind_shear: bool,
144 pub wind_shear_model: String,
145 pub shooter_altitude_m: f64,
146 pub is_twist_right: bool, pub custom_drag_table: Option<crate::drag::DragTable>, pub bc_segments: Option<Vec<(f64, f64)>>, pub use_bc_segments: bool, }
151
152fn build_inputs(params: &TrajectoryParams) -> BallisticInputs {
158 BallisticInputs {
159 bc_value: params.bc,
160 bc_type: params.drag_model,
161 bullet_mass: params.mass_kg, muzzle_velocity: 0.0, bullet_diameter: 0.0078232, bullet_length: 0.031496, twist_rate: 10.0, is_twist_right: params.is_twist_right,
167 enable_advanced_effects: params.enable_spin_drift
168 || params.enable_magnus
169 || params.enable_coriolis,
170 enable_magnus: params.enable_magnus,
171 enable_coriolis: params.enable_coriolis,
172 altitude: params.atmos_params.0,
173 temperature: params.atmos_params.1,
174 pressure: params.atmos_params.2,
175 humidity: params.atmos_params.3,
176 tipoff_yaw: 0.0,
177 target_distance: 1000.0, muzzle_angle: 0.0,
179 wind_speed: if !params.wind_segments.is_empty() {
180 params.wind_segments[0].0 * 0.2777778 } else {
182 0.0
183 },
184 wind_angle: if !params.wind_segments.is_empty() {
185 params.wind_segments[0].1.to_radians() } else {
187 0.0
188 },
189 latitude: None,
190 shooting_angle: 0.0,
191 azimuth_angle: 0.0,
192 use_powder_sensitivity: false,
193 powder_temp_sensitivity: 0.0,
194 powder_temp: 59.0,
195 tipoff_decay_distance: 0.0,
196 ground_threshold: -1000.0,
197 bc_segments: params.bc_segments.clone(),
198 caliber_inches: 0.308,
199 weight_grains: params.mass_kg / 0.00006479891,
200 use_bc_segments: params.use_bc_segments,
201 bullet_id: None,
202 bc_segments_data: None,
203 use_enhanced_spin_drift: params.enable_spin_drift,
204 use_form_factor: false,
205 manufacturer: None,
206 bullet_model: None,
207 enable_wind_shear: false,
208 wind_shear_model: "none".to_string(),
209 use_cluster_bc: false,
210 bullet_cluster: None,
211 custom_drag_table: params.custom_drag_table.clone(),
212 bc_type_str: None,
213 enable_pitch_damping: false,
214 enable_precession_nutation: false,
215 use_rk4: true,
216 use_adaptive_rk45: false,
217 enable_trajectory_sampling: false,
218 sample_interval: 10.0,
219 sight_height: 0.0,
220 muzzle_height: 0.0,
221 target_height: 0.0,
222 }
223}
224
225fn compute_derivatives_vec(
227 state: &Vector6<f64>,
228 t: f64,
229 params: &TrajectoryParams,
230 inputs: &BallisticInputs,
231) -> Vector6<f64> {
232 let pos = Vector3::new(state[0], state[1], state[2]);
233 let vel = Vector3::new(state[3], state[4], state[5]);
234
235 let wind_vector = if !params.wind_segments.is_empty() {
237 if params.enable_wind_shear && params.wind_shear_model != "none" {
238 crate::wind_shear::get_wind_at_position(
239 &pos,
240 ¶ms.wind_segments,
241 params.enable_wind_shear,
242 ¶ms.wind_shear_model,
243 params.shooter_altitude_m,
244 )
245 } else {
246 let seg = ¶ms.wind_segments[0];
248 let wind_speed_mps = seg.0 * 0.2777778; let wind_angle_rad = seg.1.to_radians();
250 Vector3::new(
252 -wind_speed_mps * wind_angle_rad.cos(), 0.0, -wind_speed_mps * wind_angle_rad.sin(), )
256 }
257 } else {
258 Vector3::zeros()
259 };
260
261 let deriv_result = compute_derivatives(
264 pos,
265 vel,
266 inputs,
267 wind_vector,
268 params.atmos_params,
269 params.bc,
270 params.omega_vector,
271 t,
272 );
273
274 Vector6::new(
275 deriv_result[0],
276 deriv_result[1],
277 deriv_result[2],
278 deriv_result[3],
279 deriv_result[4],
280 deriv_result[5],
281 )
282}
283
284pub fn integrate_trajectory(
286 initial_state: [f64; 6],
287 t_span: (f64, f64),
288 params: TrajectoryParams,
289 method: &str,
290 tolerance: f64,
291 max_step: f64,
292) -> Vec<(f64, Vector6<f64>)> {
293 let mut state = Vector6::new(
294 initial_state[0],
295 initial_state[1],
296 initial_state[2],
297 initial_state[3],
298 initial_state[4],
299 initial_state[5],
300 );
301
302 let mut t = t_span.0;
303 let t_end = t_span.1;
304 let mut dt = (t_end - t) / 1000.0; let mut trajectory = Vec::with_capacity(10000);
307 trajectory.push((t, state));
308
309 let inputs = build_inputs(¶ms);
312
313 match method {
314 "RK4" => {
315 dt = dt.min(max_step).min(0.001); while t < t_end {
319 if t + dt > t_end {
320 dt = t_end - t;
321 }
322
323 let new_state = rk4_step(&state, t, dt, ¶ms, &inputs);
324
325 if state[0] < params.target_distance_m && new_state[0] >= params.target_distance_m {
327 let alpha = (params.target_distance_m - state[0]) / (new_state[0] - state[0]);
329 let dt_to_target = dt * alpha;
330
331 let final_state = rk4_step(&state, t, dt_to_target, ¶ms, &inputs);
333
334 let mut corrected_state = final_state;
336 if corrected_state[0] > params.target_distance_m {
337 corrected_state[0] = params.target_distance_m;
338 }
339
340 trajectory.push((t + dt_to_target, corrected_state));
341 break; }
343
344 state = new_state;
345 t += dt;
346 trajectory.push((t, state));
347
348 if state[0] >= params.target_distance_m {
350 let mut final_state = state;
353 final_state[0] = params.target_distance_m; trajectory.push((t, final_state));
355 break;
356 }
357
358 if state[1] < -1000.0 {
360 break;
361 }
362 }
363 }
364 "RK45" | _ => {
365 let mut last_save_x = 0.0; let save_interval_m = params.target_distance_m / 50.0; let effective_max_step =
372 if params.enable_wind_shear && params.wind_shear_model != "none" {
373 if params.target_distance_m > 800.0 {
375 0.01 } else {
377 0.02 }
379 } else {
380 max_step };
382
383 dt = dt.min(effective_max_step).max(0.0001); let max_iterations = 100000; let mut iteration_count = 0;
389
390 while t < t_end && iteration_count < max_iterations {
391 iteration_count += 1;
392
393 if t + dt > t_end {
395 dt = t_end - t;
396 }
397
398 let (new_state, dt_new, _error) =
399 rk45_step(&state, t, dt, ¶ms, &inputs, tolerance);
400
401 if state[0] < params.target_distance_m && new_state[0] >= params.target_distance_m {
403 let alpha = (params.target_distance_m - state[0]) / (new_state[0] - state[0]);
405 let dt_to_target = dt * alpha;
406
407 let (final_state, _, _) =
409 rk45_step(&state, t, dt_to_target, ¶ms, &inputs, tolerance);
410
411 let mut corrected_state = final_state;
413 if corrected_state[0] > params.target_distance_m {
414 corrected_state[0] = params.target_distance_m;
415 }
416
417 trajectory.push((t + dt_to_target, corrected_state));
418 break; }
420
421 state = new_state;
423 t += dt;
424
425 if state[0] - last_save_x >= save_interval_m || state[0] >= params.target_distance_m
427 {
428 trajectory.push((t, state));
430 last_save_x = state[0];
431 }
432
433 dt = dt_new.min(effective_max_step).max(0.0001); if state[0] >= params.target_distance_m {
438 let mut final_state = state;
441 final_state[0] = params.target_distance_m; trajectory.push((t, final_state));
443 break;
444 }
445
446 if state[1] < -1000.0 {
448 break;
449 }
450 }
451
452 if iteration_count >= max_iterations {
454 eprintln!(
455 "WARNING: Trajectory integration hit maximum iteration limit ({} iterations)",
456 max_iterations
457 );
458 eprintln!(" Final time: {}, Target time: {}", t, t_end);
459 eprintln!(
460 " Final position: downrange(x)={}, Target: {}m",
461 state[0], params.target_distance_m
462 );
463 }
464 }
465 }
466
467 trajectory
468}
469
470pub fn solve_trajectory_rust(
472 initial_state: [f64; 6],
473 t_span: (f64, f64),
474 mass_kg: f64,
475 bc: f64,
476 drag_model: DragModel,
477 wind_segments: Vec<WindSegment>,
478 atmos_params: (f64, f64, f64, f64),
479 omega_vector: Option<Vec<f64>>,
480 enable_spin_drift: bool,
481 enable_magnus: bool,
482 enable_coriolis: bool,
483 method: String,
484 tolerance: f64,
485 max_step: f64,
486 target_distance_m: f64,
487) -> Vec<HashMap<String, f64>> {
488 let omega_vec = omega_vector.map(|v| Vector3::new(v[0], v[1], v[2]));
489
490 let params = TrajectoryParams {
491 mass_kg,
492 bc,
493 drag_model,
494 wind_segments,
495 atmos_params,
496 omega_vector: omega_vec,
497 enable_spin_drift,
498 enable_magnus,
499 enable_coriolis,
500 target_distance_m,
501 enable_wind_shear: false, wind_shear_model: "none".to_string(),
503 shooter_altitude_m: 0.0,
504 is_twist_right: true, custom_drag_table: None, bc_segments: None, use_bc_segments: false,
508 };
509
510 let trajectory =
511 integrate_trajectory(initial_state, t_span, params, &method, tolerance, max_step);
512
513 trajectory
515 .into_iter()
516 .map(|(t, state)| {
517 let mut point = HashMap::new();
518 point.insert("t".to_string(), t);
519 point.insert("x".to_string(), state[0]);
520 point.insert("y".to_string(), state[1]);
521 point.insert("z".to_string(), state[2]);
522 point.insert("vx".to_string(), state[3]);
523 point.insert("vy".to_string(), state[4]);
524 point.insert("vz".to_string(), state[5]);
525 point
526 })
527 .collect()
528}
529
530#[cfg(test)]
531mod tests {
532 use super::*;
533
534 fn create_test_params(target_distance_m: f64) -> TrajectoryParams {
535 TrajectoryParams {
536 mass_kg: 0.01134, bc: 0.442,
538 drag_model: DragModel::G7,
539 wind_segments: vec![],
540 atmos_params: (0.0, 59.0, 29.92, 0.0),
541 omega_vector: None,
542 enable_spin_drift: false,
543 enable_magnus: false,
544 enable_coriolis: false,
545 target_distance_m,
546 enable_wind_shear: false,
547 wind_shear_model: "none".to_string(),
548 shooter_altitude_m: 0.0,
549 is_twist_right: true,
550 custom_drag_table: None,
551 bc_segments: None,
552 use_bc_segments: false,
553 }
554 }
555
556 #[test]
557 fn test_integrate_trajectory_basic() {
558 let initial_state = [0.0, -0.038, 0.0, 821.52, 48.61, 0.0];
561
562 let params = TrajectoryParams {
563 mass_kg: 0.01134, bc: 0.442,
565 drag_model: DragModel::G7,
566 wind_segments: vec![(0.0, 90.0, 914.4)],
567 atmos_params: (0.0, 59.0, 29.92, 0.0),
568 omega_vector: None,
569 enable_spin_drift: false,
570 enable_magnus: false,
571 enable_coriolis: false,
572 target_distance_m: 914.4, enable_wind_shear: false,
574 wind_shear_model: "none".to_string(),
575 shooter_altitude_m: 0.0,
576 is_twist_right: true,
577 custom_drag_table: None,
578 bc_segments: None,
579 use_bc_segments: false,
580 };
581
582 println!("Running integrate_trajectory test...");
583 println!("Initial state: {:?}", initial_state);
584 println!("Target distance: {} m", params.target_distance_m);
585
586 let trajectory =
587 integrate_trajectory(initial_state, (0.0, 10.0), params, "RK45", 1e-6, 0.01);
588
589 println!("Trajectory has {} points", trajectory.len());
590
591 assert!(
593 trajectory.len() > 1,
594 "Trajectory should have more than 1 point, but has {}",
595 trajectory.len()
596 );
597
598 if let Some((_, final_state)) = trajectory.last() {
600 println!("Final state: downrange(x)={}", final_state[0]);
601 assert!(
602 final_state[0] > 0.0,
603 "Final x should be positive (bullet moved downrange)"
604 );
605 assert!(
606 final_state[0] >= 900.0,
607 "Final x should be near target distance"
608 );
609 }
610 }
611
612 #[test]
613 fn test_rk4_vs_rk45_consistency() {
614 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let target_distance = 500.0;
617
618 let params_rk4 = create_test_params(target_distance);
619 let params_rk45 = create_test_params(target_distance);
620
621 let trajectory_rk4 =
622 integrate_trajectory(initial_state, (0.0, 5.0), params_rk4, "RK4", 1e-6, 0.001);
623 let trajectory_rk45 =
624 integrate_trajectory(initial_state, (0.0, 5.0), params_rk45, "RK45", 1e-6, 0.01);
625
626 assert!(!trajectory_rk4.is_empty());
628 assert!(!trajectory_rk45.is_empty());
629
630 let (_, final_rk4) = trajectory_rk4.last().unwrap();
631 let (_, final_rk45) = trajectory_rk45.last().unwrap();
632
633 let rk4_z = final_rk4[0];
635 let rk45_z = final_rk45[0];
636 let diff_percent = ((rk4_z - rk45_z) / rk45_z).abs() * 100.0;
637
638 assert!(
639 diff_percent < 1.0,
640 "RK4 and RK45 final positions differ by {}%: RK4={}, RK45={}",
641 diff_percent,
642 rk4_z,
643 rk45_z
644 );
645 }
646
647 #[test]
648 fn test_ground_impact_detection() {
649 let initial_state = [0.0, 100.0, 0.0, 300.0, -50.0, 0.0]; let mut params = create_test_params(10000.0); params.target_distance_m = 10000.0;
654
655 let trajectory =
656 integrate_trajectory(initial_state, (0.0, 20.0), params, "RK45", 1e-6, 0.01);
657
658 let (_, final_state) = trajectory.last().unwrap();
660
661 assert!(
663 final_state[1] <= -900.0,
664 "Should hit ground, but y={}",
665 final_state[1]
666 );
667 assert!(
668 final_state[0] < 10000.0,
669 "Should not reach target, but z={}",
670 final_state[0]
671 );
672 }
673
674 #[test]
675 fn test_target_distance_reached() {
676 let initial_state = [0.0, 0.0, 0.0, 800.0, 20.0, 0.0]; let target_distance = 300.0;
678
679 let params = create_test_params(target_distance);
680
681 let trajectory =
682 integrate_trajectory(initial_state, (0.0, 5.0), params, "RK45", 1e-6, 0.01);
683
684 let (_, final_state) = trajectory.last().unwrap();
685
686 assert!(
688 (final_state[0] - target_distance).abs() < 1.0,
689 "Should reach target at {}m, but stopped at {}m",
690 target_distance,
691 final_state[0]
692 );
693 }
694
695 #[test]
696 fn test_wind_affects_trajectory() {
697 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let target_distance = 500.0;
702
703 let params_no_wind = create_test_params(target_distance);
705
706 let mut params_headwind = create_test_params(target_distance);
708 params_headwind.wind_segments = vec![(72.0, 0.0, 500.0)]; let trajectory_no_wind =
711 integrate_trajectory(initial_state, (0.0, 5.0), params_no_wind, "RK45", 1e-6, 0.01);
712 let trajectory_headwind =
713 integrate_trajectory(initial_state, (0.0, 5.0), params_headwind, "RK45", 1e-6, 0.01);
714
715 assert!(!trajectory_no_wind.is_empty(), "No-wind trajectory should complete");
717 assert!(!trajectory_headwind.is_empty(), "Headwind trajectory should complete");
718
719 let (time_no_wind, final_no_wind) = trajectory_no_wind.last().unwrap();
720 let (time_headwind, final_headwind) = trajectory_headwind.last().unwrap();
721
722 let drop_no_wind = final_no_wind[1];
725 let drop_headwind = final_headwind[1];
726
727 println!("No wind: time={}, drop={}", time_no_wind, drop_no_wind);
730 println!("Headwind: time={}, drop={}", time_headwind, drop_headwind);
731
732 assert!(
734 (final_no_wind[0] - target_distance).abs() < 10.0,
735 "No-wind should reach target"
736 );
737 assert!(
738 (final_headwind[0] - target_distance).abs() < 10.0,
739 "Headwind should reach target"
740 );
741 }
742
743 #[test]
744 fn test_solve_trajectory_rust_output_format() {
745 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let result = solve_trajectory_rust(
748 initial_state,
749 (0.0, 2.0),
750 0.01134, 0.442, DragModel::G7, vec![], (0.0, 59.0, 29.92, 0.0), None, false, false, false, "RK45".to_string(), 1e-6, 0.01, 500.0, );
764
765 assert!(!result.is_empty());
767
768 let first_point = &result[0];
769 assert!(first_point.contains_key("t"));
770 assert!(first_point.contains_key("x"));
771 assert!(first_point.contains_key("y"));
772 assert!(first_point.contains_key("z"));
773 assert!(first_point.contains_key("vx"));
774 assert!(first_point.contains_key("vy"));
775 assert!(first_point.contains_key("vz"));
776 }
777
778 #[test]
779 fn test_left_vs_right_twist() {
780 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let target_distance = 500.0;
782
783 let mut params_right = create_test_params(target_distance);
784 params_right.is_twist_right = true;
785 params_right.enable_spin_drift = true;
786
787 let mut params_left = create_test_params(target_distance);
788 params_left.is_twist_right = false;
789 params_left.enable_spin_drift = true;
790
791 let trajectory_right =
792 integrate_trajectory(initial_state, (0.0, 5.0), params_right, "RK45", 1e-6, 0.01);
793 let trajectory_left =
794 integrate_trajectory(initial_state, (0.0, 5.0), params_left, "RK45", 1e-6, 0.01);
795
796 assert!(!trajectory_right.is_empty());
798 assert!(!trajectory_left.is_empty());
799
800 let (_, final_right) = trajectory_right.last().unwrap();
802 let (_, final_left) = trajectory_left.last().unwrap();
803
804 assert!((final_right[2] - final_left[2]).abs() < 10.0);
806 }
807}