1use nalgebra::{Vector3, Vector6};
10use std::collections::HashMap;
11
12use crate::derivatives::compute_derivatives;
13use crate::wind::{WindSegment, WindSegmentError};
14use crate::BallisticInputs;
15use crate::DragModel;
16
17const RK45_MIN_STEP: f64 = 1e-6;
18const RK45_DEFAULT_TOLERANCE: f64 = 1e-6;
19const RK45_SAFETY_FACTOR: f64 = 0.9;
20const RK45_MIN_SCALE: f64 = 0.1;
21const RK45_MAX_SCALE: f64 = 2.0;
22
23#[derive(Clone, Copy)]
24struct Rk45Control {
25 tolerance: f64,
26 min_step: f64,
27 max_step: f64,
28 max_trials: usize,
29}
30
31struct Rk45AcceptedStep {
32 state: Vector6<f64>,
33 used_dt: f64,
34 next_dt: f64,
35 error: f64,
36 trials: usize,
37}
38
39fn wind_vector_for_range(range_m: f64, wind_segments: &[WindSegment]) -> Vector3<f64> {
40 if range_m.is_nan() {
41 return Vector3::zeros();
42 }
43 for seg in wind_segments {
44 if range_m < seg.until_m {
45 let wind_speed_mps = seg.speed_kmh * 0.2777778; let wind_angle_rad = seg.angle_deg.to_radians();
47 return crate::wind::wind_vector(wind_speed_mps, wind_angle_rad, seg.vertical_mps);
50 }
51 }
52 Vector3::zeros()
53}
54
55fn rk4_step(
57 state: &Vector6<f64>,
58 t: f64,
59 dt: f64,
60 params: &TrajectoryParams,
61 inputs: &BallisticInputs,
62) -> Vector6<f64> {
63 let k1 = compute_derivatives_vec(state, t, params, inputs);
65 let k2 = compute_derivatives_vec(&(state + dt * 0.5 * k1), t + dt * 0.5, params, inputs);
66 let k3 = compute_derivatives_vec(&(state + dt * 0.5 * k2), t + dt * 0.5, params, inputs);
67 let k4 = compute_derivatives_vec(&(state + dt * k3), t + dt, params, inputs);
68
69 state + (dt / 6.0) * (k1 + 2.0 * k2 + 2.0 * k3 + k4)
70}
71
72pub(crate) fn rk45_error_norm(
78 state: &Vector6<f64>,
79 fifth_order: &Vector6<f64>,
80 fourth_order: &Vector6<f64>,
81) -> f64 {
82 let scaled_error_squared: f64 = (0..6)
83 .map(|index| {
84 let scale = 1.0 + state[index].abs().max(fifth_order[index].abs());
85 ((fifth_order[index] - fourth_order[index]) / scale).powi(2)
86 })
87 .sum();
88
89 (scaled_error_squared / 6.0).sqrt()
90}
91
92fn rk45_step(
94 state: &Vector6<f64>,
95 t: f64,
96 dt: f64,
97 params: &TrajectoryParams,
98 inputs: &BallisticInputs,
99 tol: f64,
100) -> (Vector6<f64>, f64, f64) {
101 const A21: f64 = 1.0 / 5.0;
103 const A31: f64 = 3.0 / 40.0;
104 const A32: f64 = 9.0 / 40.0;
105 const A41: f64 = 44.0 / 45.0;
106 const A42: f64 = -56.0 / 15.0;
107 const A43: f64 = 32.0 / 9.0;
108 const A51: f64 = 19372.0 / 6561.0;
109 const A52: f64 = -25360.0 / 2187.0;
110 const A53: f64 = 64448.0 / 6561.0;
111 const A54: f64 = -212.0 / 729.0;
112 const A61: f64 = 9017.0 / 3168.0;
113 const A62: f64 = -355.0 / 33.0;
114 const A63: f64 = 46732.0 / 5247.0;
115 const A64: f64 = 49.0 / 176.0;
116 const A65: f64 = -5103.0 / 18656.0;
117 const A71: f64 = 35.0 / 384.0;
118 const A73: f64 = 500.0 / 1113.0;
119 const A74: f64 = 125.0 / 192.0;
120 const A75: f64 = -2187.0 / 6784.0;
121 const A76: f64 = 11.0 / 84.0;
122
123 const B1: f64 = 35.0 / 384.0;
125 const B3: f64 = 500.0 / 1113.0;
126 const B4: f64 = 125.0 / 192.0;
127 const B5: f64 = -2187.0 / 6784.0;
128 const B6: f64 = 11.0 / 84.0;
129
130 const B1_ERR: f64 = 5179.0 / 57600.0;
132 const B3_ERR: f64 = 7571.0 / 16695.0;
133 const B4_ERR: f64 = 393.0 / 640.0;
134 const B5_ERR: f64 = -92097.0 / 339200.0;
135 const B6_ERR: f64 = 187.0 / 2100.0;
136 const B7_ERR: f64 = 1.0 / 40.0;
137
138 let k1 = compute_derivatives_vec(state, t, params, inputs);
140 let k2 = compute_derivatives_vec(&(state + dt * A21 * k1), t + dt * 0.2, params, inputs);
141 let k3 = compute_derivatives_vec(
142 &(state + dt * (A31 * k1 + A32 * k2)),
143 t + dt * 0.3,
144 params,
145 inputs,
146 );
147 let k4 = compute_derivatives_vec(
148 &(state + dt * (A41 * k1 + A42 * k2 + A43 * k3)),
149 t + dt * 0.8,
150 params,
151 inputs,
152 );
153 let k5 = compute_derivatives_vec(
154 &(state + dt * (A51 * k1 + A52 * k2 + A53 * k3 + A54 * k4)),
155 t + dt * 8.0 / 9.0,
156 params,
157 inputs,
158 );
159 let k6 = compute_derivatives_vec(
160 &(state + dt * (A61 * k1 + A62 * k2 + A63 * k3 + A64 * k4 + A65 * k5)),
161 t + dt,
162 params,
163 inputs,
164 );
165 let k7 = compute_derivatives_vec(
166 &(state + dt * (A71 * k1 + A73 * k3 + A74 * k4 + A75 * k5 + A76 * k6)),
167 t + dt,
168 params,
169 inputs,
170 );
171
172 let y_new = state + dt * (B1 * k1 + B3 * k3 + B4 * k4 + B5 * k5 + B6 * k6);
174
175 let y_err = state
177 + dt * (B1_ERR * k1 + B3_ERR * k3 + B4_ERR * k4 + B5_ERR * k5 + B6_ERR * k6 + B7_ERR * k7);
178
179 let error = rk45_error_norm(state, &y_new, &y_err);
180
181 let step_scale = if !error.is_finite() || !tol.is_finite() || tol <= 0.0 {
183 RK45_MIN_SCALE
184 } else if error == 0.0 {
185 RK45_MAX_SCALE
186 } else {
187 (RK45_SAFETY_FACTOR * (tol / error).powf(0.2)).clamp(RK45_MIN_SCALE, RK45_MAX_SCALE)
188 };
189 let dt_new = dt * step_scale;
190
191 (y_new, dt_new, error)
192}
193
194fn adaptive_rk45_step(
199 state: &Vector6<f64>,
200 t: f64,
201 initial_dt: f64,
202 params: &TrajectoryParams,
203 inputs: &BallisticInputs,
204 control: Rk45Control,
205) -> Result<Rk45AcceptedStep, usize> {
206 let mut trial_dt = initial_dt;
207
208 for trials in 1..=control.max_trials {
209 let (new_state, suggested_dt, error) =
210 rk45_step(state, t, trial_dt, params, inputs, control.tolerance);
211 let candidate_is_finite = error.is_finite()
212 && suggested_dt.is_finite()
213 && new_state.iter().all(|value| value.is_finite());
214 let next_dt = suggested_dt.min(control.max_step).max(control.min_step);
215
216 if candidate_is_finite && (error <= control.tolerance || trial_dt <= control.min_step) {
217 return Ok(Rk45AcceptedStep {
218 state: new_state,
219 used_dt: trial_dt,
220 next_dt,
221 error,
222 trials,
223 });
224 }
225
226 if trial_dt <= control.min_step {
227 return Err(trials);
228 }
229 trial_dt = next_dt;
230 }
231
232 Err(control.max_trials)
233}
234
235pub struct TrajectoryParams {
237 pub mass_kg: f64,
238 pub bc: f64,
239 pub drag_model: DragModel,
240 pub wind_segments: Vec<WindSegment>,
242 pub atmos_params: (f64, f64, f64, f64),
248 pub omega_vector: Option<Vector3<f64>>,
251 pub enable_spin_drift: bool,
252 pub enable_magnus: bool,
253 pub enable_coriolis: bool,
254 pub target_distance_m: f64, pub enable_wind_shear: bool,
256 pub wind_shear_model: String,
257 pub shooter_altitude_m: f64,
258 pub is_twist_right: bool, pub shooting_angle: f64, pub bullet_diameter: f64, pub bullet_length: f64, pub twist_rate: f64, pub custom_drag_table: Option<crate::drag::DragTable>, pub cd_scale: f64,
269 pub bc_segments: Option<Vec<(f64, f64)>>, pub use_bc_segments: bool, pub ground_threshold: f64,
274 pub atmo_sock: Option<crate::atmosphere::AtmoSock>,
278}
279
280fn build_inputs(params: &TrajectoryParams, muzzle_velocity_mps: f64) -> BallisticInputs {
286 let mut inputs = BallisticInputs {
287 bc_value: params.bc,
288 bc_type: params.drag_model,
289 bullet_mass: params.mass_kg, muzzle_velocity: muzzle_velocity_mps,
291 bullet_diameter: params.bullet_diameter, bullet_length: params.bullet_length,
293 twist_rate: params.twist_rate,
294 is_twist_right: params.is_twist_right,
295 enable_advanced_effects: params.enable_spin_drift
296 || params.enable_magnus
297 || params.enable_coriolis,
298 enable_magnus: params.enable_magnus,
299 enable_coriolis: params.enable_coriolis,
300 altitude: params.atmos_params.0,
301 temperature: params.atmos_params.1,
302 pressure: params.atmos_params.2,
303 humidity: params.atmos_params.3,
304 tipoff_yaw: 0.0,
305 target_distance: 1000.0, muzzle_angle: 0.0,
307 wind_speed: if !params.wind_segments.is_empty() {
308 params.wind_segments[0].speed_kmh * 0.2777778 } else {
310 0.0
311 },
312 wind_angle: if !params.wind_segments.is_empty() {
313 params.wind_segments[0].angle_deg.to_radians() } else {
315 0.0
316 },
317 latitude: None,
318 shooting_angle: params.shooting_angle,
319 cant_angle: 0.0,
320 azimuth_angle: 0.0,
321 shot_azimuth: 0.0, use_powder_sensitivity: false,
323 powder_temp_sensitivity: 0.0,
324 powder_temp: 59.0,
325 powder_temp_curve: None,
326 powder_curve_temp_c: None,
327 tipoff_decay_distance: 0.0,
328 ground_threshold: params.ground_threshold, bc_segments: params.bc_segments.clone(),
330 caliber_inches: params.bullet_diameter / 0.0254, weight_grains: params.mass_kg / crate::constants::GRAINS_TO_KG,
332 use_bc_segments: params.use_bc_segments,
333 bullet_id: None,
334 bc_segments_data: None,
335 use_enhanced_spin_drift: params.enable_spin_drift,
336 use_form_factor: false,
337 manufacturer: None,
338 bullet_model: None,
339 enable_wind_shear: false,
340 wind_shear_model: "none".to_string(),
341 use_cluster_bc: false,
342 bullet_cluster: None,
343 custom_drag_table: params.custom_drag_table.clone(),
344 cd_scale: params.cd_scale,
345 bc_type_str: None,
346 enable_pitch_damping: false,
347 enable_precession_nutation: false,
348 enable_aerodynamic_jump: false,
354 use_rk4: true,
355 use_adaptive_rk45: false,
356 enable_trajectory_sampling: false,
357 sample_interval: 10.0,
358 sight_height: 0.0,
359 muzzle_height: 0.0,
360 target_height: 0.0,
361 };
362
363 if inputs.use_bc_segments && inputs.bc_segments_data.is_none() && inputs.bc_segments.is_none() {
370 inputs.bc_segments_data =
371 crate::derivatives::estimate_bc_segments_for(&inputs, inputs.bc_value);
372 }
373 inputs
374}
375
376fn compute_derivatives_vec(
378 state: &Vector6<f64>,
379 t: f64,
380 params: &TrajectoryParams,
381 inputs: &BallisticInputs,
382) -> Vector6<f64> {
383 let pos = Vector3::new(state[0], state[1], state[2]);
384 let vel = Vector3::new(state[3], state[4], state[5]);
385
386 let wind_vector = if !params.wind_segments.is_empty() {
388 if params.enable_wind_shear && params.wind_shear_model != "none" {
389 crate::wind_shear::get_wind_at_position(
390 &pos,
391 ¶ms.wind_segments,
392 params.enable_wind_shear,
393 ¶ms.wind_shear_model,
394 params.shooter_altitude_m,
395 )
396 } else {
397 wind_vector_for_range(pos.x, ¶ms.wind_segments)
398 }
399 } else {
400 Vector3::zeros()
401 };
402
403 let deriv_result = compute_derivatives(
406 pos,
407 vel,
408 inputs,
409 wind_vector,
410 params.atmos_params,
411 params.bc,
412 params.omega_vector,
413 t,
414 params.atmo_sock.as_ref(),
415 );
416
417 Vector6::new(
418 deriv_result[0],
419 deriv_result[1],
420 deriv_result[2],
421 deriv_result[3],
422 deriv_result[4],
423 deriv_result[5],
424 )
425}
426
427fn interpolate_target_crossing(
433 start_time: f64,
434 start: &Vector6<f64>,
435 step_dt: f64,
436 end: &Vector6<f64>,
437 target_x: f64,
438) -> (f64, Vector6<f64>) {
439 debug_assert!(start[0] <= target_x && target_x <= end[0] && end[0] > start[0]);
440
441 let alpha = (target_x - start[0]) / (end[0] - start[0]);
442 let crossing_time = start_time + alpha * step_dt;
443 let mut crossing_state = start + alpha * (end - start);
444 crossing_state[0] = target_x;
445
446 (crossing_time, crossing_state)
447}
448
449pub fn try_integrate_trajectory(
455 initial_state: [f64; 6],
456 t_span: (f64, f64),
457 params: TrajectoryParams,
458 method: &str,
459 tolerance: f64,
460 max_step: f64,
461) -> Result<Vec<(f64, Vector6<f64>)>, WindSegmentError> {
462 crate::wind::validate_wind_segments(¶ms.wind_segments)?;
463 Ok(integrate_trajectory(
464 initial_state,
465 t_span,
466 params,
467 method,
468 tolerance,
469 max_step,
470 ))
471}
472
473pub fn integrate_trajectory(
480 initial_state: [f64; 6],
481 t_span: (f64, f64),
482 mut params: TrajectoryParams,
483 method: &str,
484 tolerance: f64,
485 max_step: f64,
486) -> Vec<(f64, Vector6<f64>)> {
487 crate::wind::sort_wind_segments_by_distance(&mut params.wind_segments);
490
491 let mut state = Vector6::new(
492 initial_state[0],
493 initial_state[1],
494 initial_state[2],
495 initial_state[3],
496 initial_state[4],
497 initial_state[5],
498 );
499
500 let mut t = t_span.0;
501 let t_end = t_span.1;
502 let mut dt = (t_end - t) / 1000.0; let mut trajectory = Vec::with_capacity(10000);
505 trajectory.push((t, state));
506 if state[0] >= params.target_distance_m {
507 return trajectory;
508 }
509
510 let muzzle_velocity_mps =
513 Vector3::new(initial_state[3], initial_state[4], initial_state[5]).norm();
514 let inputs = build_inputs(¶ms, muzzle_velocity_mps);
515
516 match method {
517 "RK4" => {
518 dt = dt.min(max_step).min(0.001); while t < t_end {
522 if t + dt > t_end {
523 dt = t_end - t;
524 }
525
526 let new_state = rk4_step(&state, t, dt, ¶ms, &inputs);
527
528 if state[0] < params.target_distance_m && new_state[0] >= params.target_distance_m {
530 trajectory.push(interpolate_target_crossing(
531 t,
532 &state,
533 dt,
534 &new_state,
535 params.target_distance_m,
536 ));
537 break; }
539
540 state = new_state;
541 t += dt;
542 trajectory.push((t, state));
543
544 if state[0] >= params.target_distance_m {
546 break;
547 }
548
549 if state[1] < params.ground_threshold {
552 break;
553 }
554 }
555 }
556 _ => {
557 let mut last_save_x = 0.0; let save_interval_m = params.target_distance_m / 50.0; let tolerance = if tolerance.is_finite() && tolerance > 0.0 {
561 tolerance
562 } else {
563 eprintln!(
564 "WARNING: RK45 tolerance must be finite and positive; using {RK45_DEFAULT_TOLERANCE}"
565 );
566 RK45_DEFAULT_TOLERANCE
567 };
568
569 let effective_max_step =
572 if params.enable_wind_shear && params.wind_shear_model != "none" {
573 if params.target_distance_m > 800.0 {
575 0.01 } else {
577 0.02 }
579 } else {
580 max_step };
582 if !effective_max_step.is_finite() || effective_max_step <= 0.0 {
583 eprintln!("WARNING: RK45 max_step must be finite and positive");
584 return trajectory;
585 }
586 let min_step = RK45_MIN_STEP.min(effective_max_step);
587
588 dt = dt.min(effective_max_step).max(min_step);
590
591 let max_iterations = 100000; let mut iteration_count = 0;
594
595 while t < t_end && iteration_count < max_iterations {
596 if t + dt > t_end {
598 dt = t_end - t;
599 }
600
601 let control = Rk45Control {
602 tolerance,
603 min_step,
604 max_step: effective_max_step,
605 max_trials: max_iterations - iteration_count,
606 };
607 let accepted = match adaptive_rk45_step(&state, t, dt, ¶ms, &inputs, control) {
608 Ok(accepted) => accepted,
609 Err(trials) => {
610 iteration_count += trials;
611 if iteration_count < max_iterations {
612 eprintln!("WARNING: RK45 minimum-step trial was non-finite");
613 }
614 break;
615 }
616 };
617 iteration_count += accepted.trials;
618 debug_assert!(accepted.error <= tolerance || accepted.used_dt <= min_step);
619
620 if state[0] < params.target_distance_m
622 && accepted.state[0] >= params.target_distance_m
623 {
624 trajectory.push(interpolate_target_crossing(
625 t,
626 &state,
627 accepted.used_dt,
628 &accepted.state,
629 params.target_distance_m,
630 ));
631 break;
632 }
633
634 state = accepted.state;
636 t += accepted.used_dt;
637
638 if state[0] - last_save_x >= save_interval_m || state[0] >= params.target_distance_m
640 {
641 trajectory.push((t, state));
643 last_save_x = state[0];
644 }
645
646 dt = accepted.next_dt;
648
649 if state[0] >= params.target_distance_m {
651 break;
652 }
653
654 if state[1] < params.ground_threshold {
657 break;
658 }
659 }
660
661 if iteration_count >= max_iterations
663 && t < t_end
664 && state[0] < params.target_distance_m
665 && state[1] >= params.ground_threshold
666 {
667 eprintln!(
668 "WARNING: Trajectory integration hit maximum iteration limit ({} iterations)",
669 max_iterations
670 );
671 eprintln!(" Final time: {}, Target time: {}", t, t_end);
672 eprintln!(
673 " Final position: downrange(x)={}, Target: {}m",
674 state[0], params.target_distance_m
675 );
676 }
677 }
678 }
679
680 trajectory
681}
682
683#[allow(clippy::too_many_arguments)] pub fn try_solve_trajectory_rust(
689 initial_state: [f64; 6],
690 t_span: (f64, f64),
691 mass_kg: f64,
692 bc: f64,
693 drag_model: DragModel,
694 wind_segments: Vec<WindSegment>,
695 atmos_params: (f64, f64, f64, f64),
696 omega_vector: Option<Vec<f64>>,
697 enable_spin_drift: bool,
698 enable_magnus: bool,
699 enable_coriolis: bool,
700 method: String,
701 tolerance: f64,
702 max_step: f64,
703 target_distance_m: f64,
704) -> Result<Vec<HashMap<String, f64>>, WindSegmentError> {
705 crate::wind::validate_wind_segments(&wind_segments)?;
706 Ok(solve_trajectory_rust(
707 initial_state,
708 t_span,
709 mass_kg,
710 bc,
711 drag_model,
712 wind_segments,
713 atmos_params,
714 omega_vector,
715 enable_spin_drift,
716 enable_magnus,
717 enable_coriolis,
718 method,
719 tolerance,
720 max_step,
721 target_distance_m,
722 ))
723}
724
725#[allow(clippy::too_many_arguments)] pub fn solve_trajectory_rust(
731 initial_state: [f64; 6],
732 t_span: (f64, f64),
733 mass_kg: f64,
734 bc: f64,
735 drag_model: DragModel,
736 wind_segments: Vec<WindSegment>,
737 atmos_params: (f64, f64, f64, f64),
738 omega_vector: Option<Vec<f64>>,
739 enable_spin_drift: bool,
740 enable_magnus: bool,
741 enable_coriolis: bool,
742 method: String,
743 tolerance: f64,
744 max_step: f64,
745 target_distance_m: f64,
746) -> Vec<HashMap<String, f64>> {
747 let omega_vec = omega_vector.map(|v| Vector3::new(v[0], v[1], v[2]));
748
749 let params = TrajectoryParams {
750 mass_kg,
751 bc,
752 drag_model,
753 wind_segments,
754 atmos_params,
755 omega_vector: omega_vec,
756 enable_spin_drift,
757 enable_magnus,
758 enable_coriolis,
759 target_distance_m,
760 enable_wind_shear: false, wind_shear_model: "none".to_string(),
762 shooter_altitude_m: 0.0,
763 is_twist_right: true, shooting_angle: 0.0, bullet_diameter: 0.0078232,
768 bullet_length: 0.031496,
769 twist_rate: 10.0,
770 custom_drag_table: None, cd_scale: 1.0,
772 bc_segments: None, use_bc_segments: false,
774 ground_threshold: -1000.0, atmo_sock: None, };
777
778 let trajectory =
779 integrate_trajectory(initial_state, t_span, params, &method, tolerance, max_step);
780
781 trajectory
783 .into_iter()
784 .map(|(t, state)| {
785 let mut point = HashMap::new();
786 point.insert("t".to_string(), t);
787 point.insert("x".to_string(), state[0]);
788 point.insert("y".to_string(), state[1]);
789 point.insert("z".to_string(), state[2]);
790 point.insert("vx".to_string(), state[3]);
791 point.insert("vy".to_string(), state[4]);
792 point.insert("vz".to_string(), state[5]);
793 point
794 })
795 .collect()
796}
797
798#[cfg(test)]
799mod tests {
800 use super::*;
801
802 fn create_test_params(target_distance_m: f64) -> TrajectoryParams {
803 TrajectoryParams {
804 mass_kg: 0.01134, bc: 0.442,
806 bullet_diameter: 0.0078232, bullet_length: 0.031496, twist_rate: 10.0,
809 drag_model: DragModel::G7,
810 wind_segments: vec![],
811 atmos_params: (0.0, 15.0, 1013.25, 1.0),
812 omega_vector: None,
813 enable_spin_drift: false,
814 enable_magnus: false,
815 enable_coriolis: false,
816 target_distance_m,
817 enable_wind_shear: false,
818 wind_shear_model: "none".to_string(),
819 shooter_altitude_m: 0.0,
820 is_twist_right: true,
821 shooting_angle: 0.0,
822 custom_drag_table: None,
823 cd_scale: 1.0,
824 bc_segments: None,
825 use_bc_segments: false,
826 ground_threshold: -1000.0,
827 atmo_sock: None,
828 }
829 }
830
831 #[test]
832 fn try_integrate_trajectory_rejects_malformed_segments_before_any_points() {
833 let mut params = create_test_params(300.0);
836 params.wind_segments = vec![
837 WindSegment::new(10.0, 90.0, 200.0),
838 WindSegment::new(10.0, 90.0, f64::NAN),
839 ];
840 let err = try_integrate_trajectory(
841 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
842 (0.0, 2.0),
843 params,
844 "RK4",
845 1e-6,
846 0.001,
847 )
848 .unwrap_err();
849 assert_eq!(err.index, 1);
850 assert_eq!(err.field, crate::wind::WindSegmentField::UntilM);
851 assert_eq!(
852 err.to_string(),
853 "wind.segments[1].until_m must be finite and greater than zero"
854 );
855 }
856
857 #[test]
858 fn try_integrate_trajectory_matches_unchecked_on_valid_input() {
859 let mk = || {
860 let mut params = create_test_params(300.0);
861 params.wind_segments = vec![WindSegment::new(16.0934, 90.0, 500.0)];
862 params
863 };
864 let checked = try_integrate_trajectory(
865 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
866 (0.0, 2.0),
867 mk(),
868 "RK4",
869 1e-6,
870 0.001,
871 )
872 .expect("valid segments must integrate");
873 let unchecked = integrate_trajectory(
874 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
875 (0.0, 2.0),
876 mk(),
877 "RK4",
878 1e-6,
879 0.001,
880 );
881 assert_eq!(checked.len(), unchecked.len());
882 assert_eq!(checked.last().unwrap().1, unchecked.last().unwrap().1);
883 }
884
885 #[test]
886 fn try_solve_trajectory_rust_rejects_malformed_segments() {
887 let bad = vec![WindSegment::new(-5.0, 0.0, 100.0)];
888 let err = try_solve_trajectory_rust(
889 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
890 (0.0, 2.0),
891 0.01134,
892 0.442,
893 DragModel::G7,
894 bad,
895 (0.0, 15.0, 1013.25, 1.0),
896 None,
897 false,
898 false,
899 false,
900 "RK4".to_string(),
901 1e-6,
902 0.001,
903 300.0,
904 )
905 .unwrap_err();
906 assert_eq!(err.index, 0);
907 assert_eq!(err.field, crate::wind::WindSegmentField::SpeedKmh);
908 assert_eq!(
909 err.to_string(),
910 "wind.segments[0].speed_kmh must be finite and non-negative"
911 );
912 }
913
914 #[test]
915 fn try_solve_trajectory_rust_succeeds_on_valid_segments() {
916 let points = try_solve_trajectory_rust(
917 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
918 (0.0, 2.0),
919 0.01134,
920 0.442,
921 DragModel::G7,
922 vec![WindSegment::new(16.0934, 90.0, 500.0)],
923 (0.0, 15.0, 1013.25, 1.0),
924 None,
925 false,
926 false,
927 false,
928 "RK4".to_string(),
929 1e-6,
930 0.001,
931 300.0,
932 )
933 .expect("valid segments must solve");
934 assert!(!points.is_empty());
935 assert!(points.last().unwrap()["x"] > 0.0);
936 }
937
938 #[test]
939 fn derivative_inputs_preserve_initial_velocity_as_muzzle_speed() {
940 let params = create_test_params(1_000.0);
941 let launch_velocity = Vector3::new(700.0, 30.0, -20.0);
942 let inputs = build_inputs(¶ms, launch_velocity.norm());
943
944 assert_eq!(
945 inputs.muzzle_velocity.to_bits(),
946 launch_velocity.norm().to_bits()
947 );
948 }
949
950 #[test]
951 fn integrated_magnus_retains_nonzero_launch_spin() {
952 let initial_state = [0.0, 0.0, 0.0, 800.0, 0.0, 0.0];
953 let baseline = integrate_trajectory(
954 initial_state,
955 (0.0, 0.1),
956 create_test_params(1_000.0),
957 "RK4",
958 1e-6,
959 0.001,
960 );
961 let mut magnus_params = create_test_params(1_000.0);
962 magnus_params.enable_magnus = true;
963
964 let trajectory = integrate_trajectory(
965 initial_state,
966 (0.0, 0.1),
967 magnus_params,
968 "RK4",
969 1e-6,
970 0.001,
971 );
972 let baseline_y = baseline.last().expect("baseline trajectory is empty").1[1];
973 let magnus_y = trajectory.last().expect("trajectory is empty").1[1];
974 let vertical_delta = magnus_y - baseline_y;
975
976 assert!(
977 vertical_delta.is_finite() && vertical_delta < 0.0,
978 "right-twist Magnus should retain nonzero launch spin and point down, got \
979 delta_y={vertical_delta}"
980 );
981 }
982
983 #[test]
984 fn rk45_retries_rejected_wind_boundary_step() {
985 let initial_state = [0.0, 0.0, 0.0, 800.0, 0.0, 0.0];
986 let mut params = create_test_params(100.0);
987 params.wind_segments = vec![
988 WindSegment::new(0.0, 90.0, 4.0),
989 WindSegment::new(1_000.0, 90.0, 10_000.0),
990 ];
991
992 let state = Vector6::from_row_slice(&initial_state);
993 let launch_speed =
994 Vector3::new(initial_state[3], initial_state[4], initial_state[5]).norm();
995 let inputs = build_inputs(¶ms, launch_speed);
996 let initial_dt = 0.01;
997 let tolerance = 1e-6;
998 let (rejected_state, suggested_dt, error) =
999 rk45_step(&state, 0.0, initial_dt, ¶ms, &inputs, tolerance);
1000 assert!(
1001 error > tolerance,
1002 "wind-boundary trial must exceed tolerance, got {error}"
1003 );
1004 assert!(suggested_dt < initial_dt);
1005
1006 let accepted = adaptive_rk45_step(
1007 &state,
1008 0.0,
1009 initial_dt,
1010 ¶ms,
1011 &inputs,
1012 Rk45Control {
1013 tolerance,
1014 min_step: RK45_MIN_STEP,
1015 max_step: initial_dt,
1016 max_trials: 100,
1017 },
1018 )
1019 .expect("a smaller finite trial should satisfy the tolerance");
1020
1021 assert!(accepted.trials > 1, "oversized trial was not retried");
1022 assert!(accepted.used_dt < initial_dt);
1023 assert!(
1024 accepted.error <= tolerance || accepted.used_dt <= RK45_MIN_STEP,
1025 "accepted error {} exceeds tolerance at dt {}",
1026 accepted.error,
1027 accepted.used_dt
1028 );
1029
1030 let (accepted_state, _, accepted_error) =
1031 rk45_step(&state, 0.0, accepted.used_dt, ¶ms, &inputs, tolerance);
1032 assert_eq!(accepted.state, accepted_state);
1033 assert_eq!(accepted.error, accepted_error);
1034 assert_ne!(accepted.state, rejected_state);
1035 assert!((RK45_MIN_STEP..=initial_dt).contains(&accepted.next_dt));
1036 }
1037
1038 #[test]
1039 fn integration_normalizes_wind_segments_by_distance() {
1040 let initial_state = [0.0, 0.0, 0.0, 800.0, 0.0, 0.0];
1041 let sorted_segments = vec![
1042 WindSegment::new(40.0, 270.0, 300.0),
1043 WindSegment::new(20.0, 90.0, 600.0),
1044 ];
1045
1046 let mut sorted_params = create_test_params(100.0);
1047 sorted_params.wind_segments = sorted_segments.clone();
1048 let mut unsorted_params = create_test_params(100.0);
1049 unsorted_params.wind_segments = sorted_segments.into_iter().rev().collect();
1050
1051 let sorted =
1052 integrate_trajectory(initial_state, (0.0, 1.0), sorted_params, "RK4", 1e-6, 0.001);
1053 let unsorted = integrate_trajectory(
1054 initial_state,
1055 (0.0, 1.0),
1056 unsorted_params,
1057 "RK4",
1058 1e-6,
1059 0.001,
1060 );
1061
1062 assert_eq!(unsorted.len(), sorted.len());
1063 for (index, ((sorted_t, sorted_state), (unsorted_t, unsorted_state))) in
1064 sorted.iter().zip(&unsorted).enumerate()
1065 {
1066 assert_eq!(unsorted_t.to_bits(), sorted_t.to_bits());
1067 for component in 0..6 {
1068 assert_eq!(
1069 unsorted_state[component].to_bits(),
1070 sorted_state[component].to_bits(),
1071 "wind segment order changed state component {component} at point {index}"
1072 );
1073 }
1074 }
1075 }
1076
1077 #[test]
1078 fn rk4_target_crossing_interpolates_complete_state_and_time() {
1079 let initial_state = [0.0, 0.0, 0.0, 800.0, 5.0, 2.0];
1080 let target_distance_m = 100.0;
1081 let trajectory = integrate_trajectory(
1082 initial_state,
1083 (0.0, 1.0),
1084 create_test_params(target_distance_m),
1085 "RK4",
1086 1e-6,
1087 0.001,
1088 );
1089
1090 let (previous_t, previous_state) = &trajectory[trajectory.len() - 2];
1091 let (terminal_t, terminal_state) = trajectory.last().expect("trajectory is empty");
1092 let reference_params = create_test_params(target_distance_m);
1093 let inputs = build_inputs(&reference_params, Vector3::new(800.0, 5.0, 2.0).norm());
1094 let full_step_dt = 0.001;
1095 let bracket_end = rk4_step(
1096 previous_state,
1097 *previous_t,
1098 full_step_dt,
1099 &reference_params,
1100 &inputs,
1101 );
1102 assert!(previous_state[0] < target_distance_m);
1103 assert!(bracket_end[0] >= target_distance_m);
1104
1105 let alpha = (target_distance_m - previous_state[0]) / (bracket_end[0] - previous_state[0]);
1106 let expected_t = previous_t + alpha * full_step_dt;
1107 let mut expected_state = previous_state + alpha * (bracket_end - previous_state);
1108 expected_state[0] = target_distance_m;
1109
1110 assert_eq!(terminal_t.to_bits(), expected_t.to_bits());
1111 for component in 0..6 {
1112 assert_eq!(
1113 terminal_state[component].to_bits(),
1114 expected_state[component].to_bits(),
1115 "terminal component {component} was not interpolated at the target crossing"
1116 );
1117 }
1118 }
1119
1120 #[test]
1121 fn rk45_target_crossing_uses_the_accepted_state_and_time() {
1122 let initial_state = [0.0, 0.0, 0.0, 800.0, 5.0, 2.0];
1123 let initial = Vector6::from_row_slice(&initial_state);
1124 let target_distance_m = 0.5;
1125 let reference_params = create_test_params(target_distance_m);
1126 let inputs = build_inputs(&reference_params, Vector3::new(800.0, 5.0, 2.0).norm());
1127 let initial_dt = 0.001;
1128 let accepted = adaptive_rk45_step(
1129 &initial,
1130 0.0,
1131 initial_dt,
1132 &reference_params,
1133 &inputs,
1134 Rk45Control {
1135 tolerance: 1e-6,
1136 min_step: RK45_MIN_STEP,
1137 max_step: 0.01,
1138 max_trials: 100_000,
1139 },
1140 )
1141 .expect("first RK45 target bracket should be accepted");
1142 assert!(accepted.state[0] >= target_distance_m);
1143 let expected = interpolate_target_crossing(
1144 0.0,
1145 &initial,
1146 accepted.used_dt,
1147 &accepted.state,
1148 target_distance_m,
1149 );
1150
1151 let trajectory = integrate_trajectory(
1152 initial_state,
1153 (0.0, 1.0),
1154 create_test_params(target_distance_m),
1155 "RK45",
1156 1e-6,
1157 0.01,
1158 );
1159 let actual = trajectory.last().expect("trajectory is empty");
1160
1161 assert_eq!(actual.0.to_bits(), expected.0.to_bits());
1162 for component in 0..6 {
1163 assert_eq!(
1164 actual.1[component].to_bits(),
1165 expected.1[component].to_bits(),
1166 "RK45 terminal component {component} was not interpolated from its accepted step"
1167 );
1168 }
1169 }
1170
1171 #[test]
1172 fn target_crossing_helper_interpolates_every_component() {
1173 let start = Vector6::new(90.0, 10.0, -4.0, 700.0, -20.0, 5.0);
1174 let end = Vector6::new(130.0, 6.0, 8.0, 660.0, -24.0, 9.0);
1175 let (time, state) = interpolate_target_crossing(2.0, &start, 0.5, &end, 100.0);
1176
1177 assert_eq!(time.to_bits(), 2.125_f64.to_bits());
1178 for (index, expected) in [100.0_f64, 9.0, -1.0, 690.0, -21.0, 6.0]
1179 .into_iter()
1180 .enumerate()
1181 {
1182 assert_eq!(state[index].to_bits(), expected.to_bits());
1183 }
1184 }
1185
1186 #[test]
1187 fn already_at_or_past_target_returns_initial_state_without_advancing() {
1188 let initial = [150.0, 12.0, -3.0, 700.0, -4.0, 5.0];
1189
1190 for method in ["RK4", "RK45"] {
1191 for target in [150.0, 100.0] {
1192 let trajectory = integrate_trajectory(
1193 initial,
1194 (2.0, 3.0),
1195 create_test_params(target),
1196 method,
1197 1e-6,
1198 0.01,
1199 );
1200
1201 assert_eq!(trajectory.len(), 1, "{method} advanced a terminal state");
1202 let (time, state) = &trajectory[0];
1203 assert_eq!(time.to_bits(), 2.0_f64.to_bits());
1204 for index in 0..6 {
1205 assert_eq!(state[index].to_bits(), initial[index].to_bits());
1206 }
1207 }
1208 }
1209 }
1210
1211 #[test]
1212 fn rk45_error_norm_scales_components_independently() {
1213 let state = Vector6::new(1.0e9, 0.0, 0.0, 800.0, 0.0, 0.0);
1214 let fifth_order = state;
1215 let mut fourth_order = state;
1216 fourth_order[4] = 1.0e-3;
1217
1218 let error = rk45_error_norm(&state, &fifth_order, &fourth_order);
1219 let expected = 1.0e-3 / 6.0_f64.sqrt();
1220
1221 assert!(
1222 (error - expected).abs() <= 1e-15,
1223 "large downrange position masked a velocity-component error: {error}"
1224 );
1225 }
1226
1227 #[test]
1228 fn test_mba954_ground_threshold_honored() {
1229 let initial_state = [0.0, 0.0, 0.0, 300.0, -30.0, 0.0]; let mut shallow = create_test_params(1_000_000.0); shallow.ground_threshold = -20.0; let mut deep = create_test_params(1_000_000.0);
1237 deep.ground_threshold = -1000.0; let t_shallow =
1240 integrate_trajectory(initial_state, (0.0, 60.0), shallow, "RK4", 1e-6, 0.001);
1241 let t_deep = integrate_trajectory(initial_state, (0.0, 60.0), deep, "RK4", 1e-6, 0.001);
1242
1243 assert!(
1244 t_shallow.len() < t_deep.len(),
1245 "shallow ground_threshold (-20) should terminate earlier than deep (-1000): \
1246 shallow={}, deep={}",
1247 t_shallow.len(),
1248 t_deep.len()
1249 );
1250 }
1251
1252 #[test]
1253 fn test_integrate_trajectory_basic() {
1254 let initial_state = [0.0, -0.038, 0.0, 821.52, 48.61, 0.0];
1257
1258 let params = TrajectoryParams {
1259 mass_kg: 0.01134, bc: 0.442,
1261 bullet_diameter: 0.0078232, bullet_length: 0.031496, twist_rate: 10.0,
1264 drag_model: DragModel::G7,
1265 wind_segments: vec![WindSegment::new(0.0, 90.0, 914.4)],
1266 atmos_params: (0.0, 15.0, 1013.25, 1.0),
1267 omega_vector: None,
1268 enable_spin_drift: false,
1269 enable_magnus: false,
1270 enable_coriolis: false,
1271 target_distance_m: 914.4, enable_wind_shear: false,
1273 wind_shear_model: "none".to_string(),
1274 shooter_altitude_m: 0.0,
1275 is_twist_right: true,
1276 shooting_angle: 0.0,
1277 custom_drag_table: None,
1278 cd_scale: 1.0,
1279 bc_segments: None,
1280 use_bc_segments: false,
1281 ground_threshold: -1000.0,
1282 atmo_sock: None,
1283 };
1284
1285 println!("Running integrate_trajectory test...");
1286 println!("Initial state: {:?}", initial_state);
1287 println!("Target distance: {} m", params.target_distance_m);
1288
1289 let trajectory =
1290 integrate_trajectory(initial_state, (0.0, 10.0), params, "RK45", 1e-6, 0.01);
1291
1292 println!("Trajectory has {} points", trajectory.len());
1293
1294 assert!(
1296 trajectory.len() > 1,
1297 "Trajectory should have more than 1 point, but has {}",
1298 trajectory.len()
1299 );
1300
1301 if let Some((_, final_state)) = trajectory.last() {
1303 println!("Final state: downrange(x)={}", final_state[0]);
1304 assert!(
1305 final_state[0] > 0.0,
1306 "Final x should be positive (bullet moved downrange)"
1307 );
1308 assert!(
1309 final_state[0] >= 900.0,
1310 "Final x should be near target distance"
1311 );
1312 assert!(
1313 final_state[3] < 0.9 * initial_state[3],
1314 "standard-atmosphere drag should reduce downrange velocity"
1315 );
1316 }
1317 }
1318
1319 #[test]
1320 fn test_rk4_vs_rk45_consistency() {
1321 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let target_distance = 500.0;
1324
1325 let params_rk4 = create_test_params(target_distance);
1326 let params_rk45 = create_test_params(target_distance);
1327
1328 let trajectory_rk4 =
1329 integrate_trajectory(initial_state, (0.0, 5.0), params_rk4, "RK4", 1e-6, 0.001);
1330 let trajectory_rk45 =
1331 integrate_trajectory(initial_state, (0.0, 5.0), params_rk45, "RK45", 1e-6, 0.01);
1332
1333 assert!(!trajectory_rk4.is_empty());
1335 assert!(!trajectory_rk45.is_empty());
1336
1337 let (time_rk4, final_rk4) = trajectory_rk4.last().unwrap();
1338 let (time_rk45, final_rk45) = trajectory_rk45.last().unwrap();
1339
1340 assert!(
1342 (time_rk4 - time_rk45).abs() < 1e-4,
1343 "RK4/RK45 time of flight diverged: {time_rk4} vs {time_rk45}"
1344 );
1345 assert!((final_rk4[1] - final_rk45[1]).abs() < 1e-3);
1346 assert!((final_rk4[3] - final_rk45[3]).abs() < 1e-2);
1347 assert!(final_rk45[3] < 0.9 * initial_state[3]);
1348 }
1349
1350 #[test]
1351 fn test_ground_impact_detection() {
1352 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;
1357 let ground_threshold = 0.0;
1358 params.ground_threshold = ground_threshold;
1359
1360 let trajectory =
1361 integrate_trajectory(initial_state, (0.0, 20.0), params, "RK4", 1e-6, 0.01);
1362
1363 let (_, final_state) = trajectory.last().unwrap();
1365
1366 assert!(
1368 final_state[1] <= ground_threshold,
1369 "Should hit ground, but y={}",
1370 final_state[1]
1371 );
1372 assert!(
1373 final_state[0] < 10000.0,
1374 "Should not reach target, but z={}",
1375 final_state[0]
1376 );
1377 }
1378
1379 #[test]
1380 fn test_target_distance_reached() {
1381 let initial_state = [0.0, 0.0, 0.0, 800.0, 20.0, 0.0]; let target_distance = 300.0;
1383
1384 let params = create_test_params(target_distance);
1385
1386 let trajectory =
1387 integrate_trajectory(initial_state, (0.0, 5.0), params, "RK45", 1e-6, 0.01);
1388
1389 let (_, final_state) = trajectory.last().unwrap();
1390
1391 assert!(
1393 (final_state[0] - target_distance).abs() < 1.0,
1394 "Should reach target at {}m, but stopped at {}m",
1395 target_distance,
1396 final_state[0]
1397 );
1398 }
1399
1400 #[test]
1401 fn test_wind_affects_trajectory() {
1402 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let target_distance = 500.0;
1407
1408 let params_no_wind = create_test_params(target_distance);
1410
1411 let mut params_headwind = create_test_params(target_distance);
1413 params_headwind.wind_segments = vec![WindSegment::new(72.0, 0.0, 500.0)]; let trajectory_no_wind = integrate_trajectory(
1416 initial_state,
1417 (0.0, 5.0),
1418 params_no_wind,
1419 "RK45",
1420 1e-6,
1421 0.01,
1422 );
1423 let trajectory_headwind = integrate_trajectory(
1424 initial_state,
1425 (0.0, 5.0),
1426 params_headwind,
1427 "RK45",
1428 1e-6,
1429 0.01,
1430 );
1431
1432 assert!(
1434 !trajectory_no_wind.is_empty(),
1435 "No-wind trajectory should complete"
1436 );
1437 assert!(
1438 !trajectory_headwind.is_empty(),
1439 "Headwind trajectory should complete"
1440 );
1441
1442 let (time_no_wind, final_no_wind) = trajectory_no_wind.last().unwrap();
1443 let (time_headwind, final_headwind) = trajectory_headwind.last().unwrap();
1444
1445 let drop_no_wind = final_no_wind[1];
1448 let drop_headwind = final_headwind[1];
1449
1450 println!("No wind: time={}, drop={}", time_no_wind, drop_no_wind);
1451 println!("Headwind: time={}, drop={}", time_headwind, drop_headwind);
1452
1453 assert!(
1454 *time_headwind > *time_no_wind + 0.001,
1455 "headwind should increase time of flight: no-wind={time_no_wind}, headwind={time_headwind}"
1456 );
1457 assert!(
1458 final_headwind[3] < final_no_wind[3] - 1.0,
1459 "headwind should reduce terminal downrange velocity"
1460 );
1461
1462 assert!(
1464 (final_no_wind[0] - target_distance).abs() < 10.0,
1465 "No-wind should reach target"
1466 );
1467 assert!(
1468 (final_headwind[0] - target_distance).abs() < 10.0,
1469 "Headwind should reach target"
1470 );
1471 }
1472
1473 #[test]
1474 fn test_solve_trajectory_rust_output_format() {
1475 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let result = solve_trajectory_rust(
1478 initial_state,
1479 (0.0, 2.0),
1480 0.01134, 0.442, DragModel::G7, vec![], (0.0, 15.0, 1013.25, 1.0),
1486 None, false, false, false, "RK45".to_string(), 1e-6, 0.01, 500.0, );
1495
1496 assert!(!result.is_empty());
1498
1499 let first_point = &result[0];
1500 assert!(first_point.contains_key("t"));
1501 assert!(first_point.contains_key("x"));
1502 assert!(first_point.contains_key("y"));
1503 assert!(first_point.contains_key("z"));
1504 assert!(first_point.contains_key("vx"));
1505 assert!(first_point.contains_key("vy"));
1506 assert!(first_point.contains_key("vz"));
1507
1508 let final_point = result.last().unwrap();
1509 assert!(
1510 final_point["vx"] < 0.9 * initial_state[3],
1511 "standard-atmosphere wrapper fixture should exercise drag"
1512 );
1513 }
1514
1515 #[test]
1516 fn test_left_vs_right_twist() {
1517 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let target_distance = 500.0;
1519
1520 let mut params_right = create_test_params(target_distance);
1521 params_right.is_twist_right = true;
1522 params_right.enable_spin_drift = true;
1523
1524 let mut params_left = create_test_params(target_distance);
1525 params_left.is_twist_right = false;
1526 params_left.enable_spin_drift = true;
1527
1528 let trajectory_right =
1529 integrate_trajectory(initial_state, (0.0, 5.0), params_right, "RK45", 1e-6, 0.01);
1530 let trajectory_left =
1531 integrate_trajectory(initial_state, (0.0, 5.0), params_left, "RK45", 1e-6, 0.01);
1532
1533 assert!(!trajectory_right.is_empty());
1535 assert!(!trajectory_left.is_empty());
1536
1537 let (_, final_right) = trajectory_right.last().unwrap();
1539 let (_, final_left) = trajectory_left.last().unwrap();
1540
1541 assert!((final_right[2] - final_left[2]).abs() < 10.0);
1543 }
1544}