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 bc_reference_standard: crate::cli_api::BcReferenceStandard::Icao,
297 bullet_mass: params.mass_kg, muzzle_velocity: muzzle_velocity_mps,
299 bullet_diameter: params.bullet_diameter, bullet_length: params.bullet_length,
301 twist_rate: params.twist_rate,
302 is_twist_right: params.is_twist_right,
303 enable_advanced_effects: params.enable_spin_drift
304 || params.enable_magnus
305 || params.enable_coriolis,
306 enable_magnus: params.enable_magnus,
307 enable_coriolis: params.enable_coriolis,
308 altitude: params.atmos_params.0,
309 temperature: params.atmos_params.1,
310 pressure: params.atmos_params.2,
311 humidity: params.atmos_params.3,
312 tipoff_yaw: 0.0,
313 target_distance: 1000.0, muzzle_angle: 0.0,
315 wind_speed: if !params.wind_segments.is_empty() {
316 params.wind_segments[0].speed_kmh * 0.2777778 } else {
318 0.0
319 },
320 wind_angle: if !params.wind_segments.is_empty() {
321 params.wind_segments[0].angle_deg.to_radians() } else {
323 0.0
324 },
325 latitude: None,
326 shooting_angle: params.shooting_angle,
327 cant_angle: 0.0,
328 azimuth_angle: 0.0,
329 shot_azimuth: 0.0, use_powder_sensitivity: false,
331 powder_temp_sensitivity: 0.0,
332 powder_temp: 59.0,
333 powder_temp_curve: None,
334 powder_curve_temp_c: None,
335 tipoff_decay_distance: 0.0,
336 ground_threshold: params.ground_threshold, bc_segments: params.bc_segments.clone(),
338 caliber_inches: params.bullet_diameter / 0.0254, weight_grains: params.mass_kg / crate::constants::GRAINS_TO_KG,
340 use_bc_segments: params.use_bc_segments,
341 bullet_id: None,
342 bc_segments_data: None,
343 use_enhanced_spin_drift: params.enable_spin_drift,
344 use_form_factor: false,
345 manufacturer: None,
346 bullet_model: None,
347 enable_wind_shear: false,
348 wind_shear_model: "none".to_string(),
349 use_cluster_bc: false,
350 bullet_cluster: None,
351 custom_drag_table: params.custom_drag_table.clone(),
352 cd_scale: params.cd_scale,
353 bc_type_str: None,
354 enable_pitch_damping: false,
355 enable_precession_nutation: false,
356 enable_aerodynamic_jump: false,
362 use_rk4: true,
363 use_adaptive_rk45: false,
364 enable_trajectory_sampling: false,
365 sample_interval: 10.0,
366 sight_height: 0.0,
367 muzzle_height: 0.0,
368 target_height: 0.0,
369 };
370
371 if inputs.use_bc_segments && inputs.bc_segments_data.is_none() && inputs.bc_segments.is_none() {
378 inputs.bc_segments_data =
379 crate::derivatives::estimate_bc_segments_for(&inputs, inputs.bc_value);
380 }
381 inputs
382}
383
384fn compute_derivatives_vec(
386 state: &Vector6<f64>,
387 t: f64,
388 params: &TrajectoryParams,
389 inputs: &BallisticInputs,
390) -> Vector6<f64> {
391 let pos = Vector3::new(state[0], state[1], state[2]);
392 let vel = Vector3::new(state[3], state[4], state[5]);
393
394 let wind_vector = if !params.wind_segments.is_empty() {
396 if params.enable_wind_shear && params.wind_shear_model != "none" {
397 crate::wind_shear::get_wind_at_position(
398 &pos,
399 ¶ms.wind_segments,
400 params.enable_wind_shear,
401 ¶ms.wind_shear_model,
402 params.shooter_altitude_m,
403 )
404 } else {
405 wind_vector_for_range(pos.x, ¶ms.wind_segments)
406 }
407 } else {
408 Vector3::zeros()
409 };
410
411 let deriv_result = compute_derivatives(
414 pos,
415 vel,
416 inputs,
417 wind_vector,
418 params.atmos_params,
419 params.bc,
420 params.omega_vector,
421 t,
422 params.atmo_sock.as_ref(),
423 );
424
425 Vector6::new(
426 deriv_result[0],
427 deriv_result[1],
428 deriv_result[2],
429 deriv_result[3],
430 deriv_result[4],
431 deriv_result[5],
432 )
433}
434
435fn interpolate_target_crossing(
441 start_time: f64,
442 start: &Vector6<f64>,
443 step_dt: f64,
444 end: &Vector6<f64>,
445 target_x: f64,
446) -> (f64, Vector6<f64>) {
447 debug_assert!(start[0] <= target_x && target_x <= end[0] && end[0] > start[0]);
448
449 let alpha = (target_x - start[0]) / (end[0] - start[0]);
450 let crossing_time = start_time + alpha * step_dt;
451 let mut crossing_state = start + alpha * (end - start);
452 crossing_state[0] = target_x;
453
454 (crossing_time, crossing_state)
455}
456
457pub fn try_integrate_trajectory(
463 initial_state: [f64; 6],
464 t_span: (f64, f64),
465 params: TrajectoryParams,
466 method: &str,
467 tolerance: f64,
468 max_step: f64,
469) -> Result<Vec<(f64, Vector6<f64>)>, WindSegmentError> {
470 crate::wind::validate_wind_segments(¶ms.wind_segments)?;
471 Ok(integrate_trajectory(
472 initial_state,
473 t_span,
474 params,
475 method,
476 tolerance,
477 max_step,
478 ))
479}
480
481pub fn integrate_trajectory(
488 initial_state: [f64; 6],
489 t_span: (f64, f64),
490 mut params: TrajectoryParams,
491 method: &str,
492 tolerance: f64,
493 max_step: f64,
494) -> Vec<(f64, Vector6<f64>)> {
495 crate::wind::sort_wind_segments_by_distance(&mut params.wind_segments);
498
499 let mut state = Vector6::new(
500 initial_state[0],
501 initial_state[1],
502 initial_state[2],
503 initial_state[3],
504 initial_state[4],
505 initial_state[5],
506 );
507
508 let mut t = t_span.0;
509 let t_end = t_span.1;
510 let mut dt = (t_end - t) / 1000.0; let mut trajectory = Vec::with_capacity(10000);
513 trajectory.push((t, state));
514 if state[0] >= params.target_distance_m {
515 return trajectory;
516 }
517
518 let muzzle_velocity_mps =
521 Vector3::new(initial_state[3], initial_state[4], initial_state[5]).norm();
522 let inputs = build_inputs(¶ms, muzzle_velocity_mps);
523
524 match method {
525 "RK4" => {
526 dt = dt.min(max_step).min(0.001); while t < t_end {
530 if t + dt > t_end {
531 dt = t_end - t;
532 }
533
534 let new_state = rk4_step(&state, t, dt, ¶ms, &inputs);
535
536 if state[0] < params.target_distance_m && new_state[0] >= params.target_distance_m {
538 trajectory.push(interpolate_target_crossing(
539 t,
540 &state,
541 dt,
542 &new_state,
543 params.target_distance_m,
544 ));
545 break; }
547
548 state = new_state;
549 t += dt;
550 trajectory.push((t, state));
551
552 if state[0] >= params.target_distance_m {
554 break;
555 }
556
557 if state[1] < params.ground_threshold {
560 break;
561 }
562 }
563 }
564 _ => {
565 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 {
569 tolerance
570 } else {
571 eprintln!(
572 "WARNING: RK45 tolerance must be finite and positive; using {RK45_DEFAULT_TOLERANCE}"
573 );
574 RK45_DEFAULT_TOLERANCE
575 };
576
577 let effective_max_step =
580 if params.enable_wind_shear && params.wind_shear_model != "none" {
581 if params.target_distance_m > 800.0 {
583 0.01 } else {
585 0.02 }
587 } else {
588 max_step };
590 if !effective_max_step.is_finite() || effective_max_step <= 0.0 {
591 eprintln!("WARNING: RK45 max_step must be finite and positive");
592 return trajectory;
593 }
594 let min_step = RK45_MIN_STEP.min(effective_max_step);
595
596 dt = dt.min(effective_max_step).max(min_step);
598
599 let max_iterations = 100000; let mut iteration_count = 0;
602
603 while t < t_end && iteration_count < max_iterations {
604 if t + dt > t_end {
606 dt = t_end - t;
607 }
608
609 let control = Rk45Control {
610 tolerance,
611 min_step,
612 max_step: effective_max_step,
613 max_trials: max_iterations - iteration_count,
614 };
615 let accepted = match adaptive_rk45_step(&state, t, dt, ¶ms, &inputs, control) {
616 Ok(accepted) => accepted,
617 Err(trials) => {
618 iteration_count += trials;
619 if iteration_count < max_iterations {
620 eprintln!("WARNING: RK45 minimum-step trial was non-finite");
621 }
622 break;
623 }
624 };
625 iteration_count += accepted.trials;
626 debug_assert!(accepted.error <= tolerance || accepted.used_dt <= min_step);
627
628 if state[0] < params.target_distance_m
630 && accepted.state[0] >= params.target_distance_m
631 {
632 trajectory.push(interpolate_target_crossing(
633 t,
634 &state,
635 accepted.used_dt,
636 &accepted.state,
637 params.target_distance_m,
638 ));
639 break;
640 }
641
642 state = accepted.state;
644 t += accepted.used_dt;
645
646 if state[0] - last_save_x >= save_interval_m || state[0] >= params.target_distance_m
648 {
649 trajectory.push((t, state));
651 last_save_x = state[0];
652 }
653
654 dt = accepted.next_dt;
656
657 if state[0] >= params.target_distance_m {
659 break;
660 }
661
662 if state[1] < params.ground_threshold {
665 break;
666 }
667 }
668
669 if iteration_count >= max_iterations
671 && t < t_end
672 && state[0] < params.target_distance_m
673 && state[1] >= params.ground_threshold
674 {
675 eprintln!(
676 "WARNING: Trajectory integration hit maximum iteration limit ({} iterations)",
677 max_iterations
678 );
679 eprintln!(" Final time: {}, Target time: {}", t, t_end);
680 eprintln!(
681 " Final position: downrange(x)={}, Target: {}m",
682 state[0], params.target_distance_m
683 );
684 }
685 }
686 }
687
688 trajectory
689}
690
691#[allow(clippy::too_many_arguments)] pub fn try_solve_trajectory_rust(
697 initial_state: [f64; 6],
698 t_span: (f64, f64),
699 mass_kg: f64,
700 bc: f64,
701 drag_model: DragModel,
702 wind_segments: Vec<WindSegment>,
703 atmos_params: (f64, f64, f64, f64),
704 omega_vector: Option<Vec<f64>>,
705 enable_spin_drift: bool,
706 enable_magnus: bool,
707 enable_coriolis: bool,
708 method: String,
709 tolerance: f64,
710 max_step: f64,
711 target_distance_m: f64,
712) -> Result<Vec<HashMap<String, f64>>, WindSegmentError> {
713 crate::wind::validate_wind_segments(&wind_segments)?;
714 Ok(solve_trajectory_rust(
715 initial_state,
716 t_span,
717 mass_kg,
718 bc,
719 drag_model,
720 wind_segments,
721 atmos_params,
722 omega_vector,
723 enable_spin_drift,
724 enable_magnus,
725 enable_coriolis,
726 method,
727 tolerance,
728 max_step,
729 target_distance_m,
730 ))
731}
732
733#[allow(clippy::too_many_arguments)] pub fn solve_trajectory_rust(
739 initial_state: [f64; 6],
740 t_span: (f64, f64),
741 mass_kg: f64,
742 bc: f64,
743 drag_model: DragModel,
744 wind_segments: Vec<WindSegment>,
745 atmos_params: (f64, f64, f64, f64),
746 omega_vector: Option<Vec<f64>>,
747 enable_spin_drift: bool,
748 enable_magnus: bool,
749 enable_coriolis: bool,
750 method: String,
751 tolerance: f64,
752 max_step: f64,
753 target_distance_m: f64,
754) -> Vec<HashMap<String, f64>> {
755 let omega_vec = omega_vector.map(|v| Vector3::new(v[0], v[1], v[2]));
756
757 let params = TrajectoryParams {
758 mass_kg,
759 bc,
760 drag_model,
761 wind_segments,
762 atmos_params,
763 omega_vector: omega_vec,
764 enable_spin_drift,
765 enable_magnus,
766 enable_coriolis,
767 target_distance_m,
768 enable_wind_shear: false, wind_shear_model: "none".to_string(),
770 shooter_altitude_m: 0.0,
771 is_twist_right: true, shooting_angle: 0.0, bullet_diameter: 0.0078232,
776 bullet_length: 0.031496,
777 twist_rate: 10.0,
778 custom_drag_table: None, cd_scale: 1.0,
780 bc_segments: None, use_bc_segments: false,
782 ground_threshold: -1000.0, atmo_sock: None, };
785
786 let trajectory =
787 integrate_trajectory(initial_state, t_span, params, &method, tolerance, max_step);
788
789 trajectory
791 .into_iter()
792 .map(|(t, state)| {
793 let mut point = HashMap::new();
794 point.insert("t".to_string(), t);
795 point.insert("x".to_string(), state[0]);
796 point.insert("y".to_string(), state[1]);
797 point.insert("z".to_string(), state[2]);
798 point.insert("vx".to_string(), state[3]);
799 point.insert("vy".to_string(), state[4]);
800 point.insert("vz".to_string(), state[5]);
801 point
802 })
803 .collect()
804}
805
806#[cfg(test)]
807mod tests {
808 use super::*;
809
810 fn create_test_params(target_distance_m: f64) -> TrajectoryParams {
811 TrajectoryParams {
812 mass_kg: 0.01134, bc: 0.442,
814 bullet_diameter: 0.0078232, bullet_length: 0.031496, twist_rate: 10.0,
817 drag_model: DragModel::G7,
818 wind_segments: vec![],
819 atmos_params: (0.0, 15.0, 1013.25, 1.0),
820 omega_vector: None,
821 enable_spin_drift: false,
822 enable_magnus: false,
823 enable_coriolis: false,
824 target_distance_m,
825 enable_wind_shear: false,
826 wind_shear_model: "none".to_string(),
827 shooter_altitude_m: 0.0,
828 is_twist_right: true,
829 shooting_angle: 0.0,
830 custom_drag_table: None,
831 cd_scale: 1.0,
832 bc_segments: None,
833 use_bc_segments: false,
834 ground_threshold: -1000.0,
835 atmo_sock: None,
836 }
837 }
838
839 #[test]
840 fn try_integrate_trajectory_rejects_malformed_segments_before_any_points() {
841 let mut params = create_test_params(300.0);
844 params.wind_segments = vec![
845 WindSegment::new(10.0, 90.0, 200.0),
846 WindSegment::new(10.0, 90.0, f64::NAN),
847 ];
848 let err = try_integrate_trajectory(
849 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
850 (0.0, 2.0),
851 params,
852 "RK4",
853 1e-6,
854 0.001,
855 )
856 .unwrap_err();
857 assert_eq!(err.index, 1);
858 assert_eq!(err.field, crate::wind::WindSegmentField::UntilM);
859 assert_eq!(
860 err.to_string(),
861 "wind.segments[1].until_m must be finite and greater than zero"
862 );
863 }
864
865 #[test]
866 fn try_integrate_trajectory_matches_unchecked_on_valid_input() {
867 let mk = || {
868 let mut params = create_test_params(300.0);
869 params.wind_segments = vec![WindSegment::new(16.0934, 90.0, 500.0)];
870 params
871 };
872 let checked = try_integrate_trajectory(
873 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
874 (0.0, 2.0),
875 mk(),
876 "RK4",
877 1e-6,
878 0.001,
879 )
880 .expect("valid segments must integrate");
881 let unchecked = integrate_trajectory(
882 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
883 (0.0, 2.0),
884 mk(),
885 "RK4",
886 1e-6,
887 0.001,
888 );
889 assert_eq!(checked.len(), unchecked.len());
890 assert_eq!(checked.last().unwrap().1, unchecked.last().unwrap().1);
891 }
892
893 #[test]
894 fn try_solve_trajectory_rust_rejects_malformed_segments() {
895 let bad = vec![WindSegment::new(-5.0, 0.0, 100.0)];
896 let err = try_solve_trajectory_rust(
897 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
898 (0.0, 2.0),
899 0.01134,
900 0.442,
901 DragModel::G7,
902 bad,
903 (0.0, 15.0, 1013.25, 1.0),
904 None,
905 false,
906 false,
907 false,
908 "RK4".to_string(),
909 1e-6,
910 0.001,
911 300.0,
912 )
913 .unwrap_err();
914 assert_eq!(err.index, 0);
915 assert_eq!(err.field, crate::wind::WindSegmentField::SpeedKmh);
916 assert_eq!(
917 err.to_string(),
918 "wind.segments[0].speed_kmh must be finite and non-negative"
919 );
920 }
921
922 #[test]
923 fn try_solve_trajectory_rust_succeeds_on_valid_segments() {
924 let points = try_solve_trajectory_rust(
925 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
926 (0.0, 2.0),
927 0.01134,
928 0.442,
929 DragModel::G7,
930 vec![WindSegment::new(16.0934, 90.0, 500.0)],
931 (0.0, 15.0, 1013.25, 1.0),
932 None,
933 false,
934 false,
935 false,
936 "RK4".to_string(),
937 1e-6,
938 0.001,
939 300.0,
940 )
941 .expect("valid segments must solve");
942 assert!(!points.is_empty());
943 assert!(points.last().unwrap()["x"] > 0.0);
944 }
945
946 #[test]
947 fn derivative_inputs_preserve_initial_velocity_as_muzzle_speed() {
948 let params = create_test_params(1_000.0);
949 let launch_velocity = Vector3::new(700.0, 30.0, -20.0);
950 let inputs = build_inputs(¶ms, launch_velocity.norm());
951
952 assert_eq!(
953 inputs.muzzle_velocity.to_bits(),
954 launch_velocity.norm().to_bits()
955 );
956 }
957
958 #[test]
959 fn integrated_magnus_retains_nonzero_launch_spin() {
960 let initial_state = [0.0, 0.0, 0.0, 800.0, 0.0, 0.0];
961 let baseline = integrate_trajectory(
962 initial_state,
963 (0.0, 0.1),
964 create_test_params(1_000.0),
965 "RK4",
966 1e-6,
967 0.001,
968 );
969 let mut magnus_params = create_test_params(1_000.0);
970 magnus_params.enable_magnus = true;
971
972 let trajectory = integrate_trajectory(
973 initial_state,
974 (0.0, 0.1),
975 magnus_params,
976 "RK4",
977 1e-6,
978 0.001,
979 );
980 let baseline_y = baseline.last().expect("baseline trajectory is empty").1[1];
981 let magnus_y = trajectory.last().expect("trajectory is empty").1[1];
982 let vertical_delta = magnus_y - baseline_y;
983
984 assert!(
985 vertical_delta.is_finite() && vertical_delta < 0.0,
986 "right-twist Magnus should retain nonzero launch spin and point down, got \
987 delta_y={vertical_delta}"
988 );
989 }
990
991 #[test]
992 fn rk45_retries_rejected_wind_boundary_step() {
993 let initial_state = [0.0, 0.0, 0.0, 800.0, 0.0, 0.0];
994 let mut params = create_test_params(100.0);
995 params.wind_segments = vec![
996 WindSegment::new(0.0, 90.0, 4.0),
997 WindSegment::new(1_000.0, 90.0, 10_000.0),
998 ];
999
1000 let state = Vector6::from_row_slice(&initial_state);
1001 let launch_speed =
1002 Vector3::new(initial_state[3], initial_state[4], initial_state[5]).norm();
1003 let inputs = build_inputs(¶ms, launch_speed);
1004 let initial_dt = 0.01;
1005 let tolerance = 1e-6;
1006 let (rejected_state, suggested_dt, error) =
1007 rk45_step(&state, 0.0, initial_dt, ¶ms, &inputs, tolerance);
1008 assert!(
1009 error > tolerance,
1010 "wind-boundary trial must exceed tolerance, got {error}"
1011 );
1012 assert!(suggested_dt < initial_dt);
1013
1014 let accepted = adaptive_rk45_step(
1015 &state,
1016 0.0,
1017 initial_dt,
1018 ¶ms,
1019 &inputs,
1020 Rk45Control {
1021 tolerance,
1022 min_step: RK45_MIN_STEP,
1023 max_step: initial_dt,
1024 max_trials: 100,
1025 },
1026 )
1027 .expect("a smaller finite trial should satisfy the tolerance");
1028
1029 assert!(accepted.trials > 1, "oversized trial was not retried");
1030 assert!(accepted.used_dt < initial_dt);
1031 assert!(
1032 accepted.error <= tolerance || accepted.used_dt <= RK45_MIN_STEP,
1033 "accepted error {} exceeds tolerance at dt {}",
1034 accepted.error,
1035 accepted.used_dt
1036 );
1037
1038 let (accepted_state, _, accepted_error) =
1039 rk45_step(&state, 0.0, accepted.used_dt, ¶ms, &inputs, tolerance);
1040 assert_eq!(accepted.state, accepted_state);
1041 assert_eq!(accepted.error, accepted_error);
1042 assert_ne!(accepted.state, rejected_state);
1043 assert!((RK45_MIN_STEP..=initial_dt).contains(&accepted.next_dt));
1044 }
1045
1046 #[test]
1047 fn integration_normalizes_wind_segments_by_distance() {
1048 let initial_state = [0.0, 0.0, 0.0, 800.0, 0.0, 0.0];
1049 let sorted_segments = vec![
1050 WindSegment::new(40.0, 270.0, 300.0),
1051 WindSegment::new(20.0, 90.0, 600.0),
1052 ];
1053
1054 let mut sorted_params = create_test_params(100.0);
1055 sorted_params.wind_segments = sorted_segments.clone();
1056 let mut unsorted_params = create_test_params(100.0);
1057 unsorted_params.wind_segments = sorted_segments.into_iter().rev().collect();
1058
1059 let sorted =
1060 integrate_trajectory(initial_state, (0.0, 1.0), sorted_params, "RK4", 1e-6, 0.001);
1061 let unsorted = integrate_trajectory(
1062 initial_state,
1063 (0.0, 1.0),
1064 unsorted_params,
1065 "RK4",
1066 1e-6,
1067 0.001,
1068 );
1069
1070 assert_eq!(unsorted.len(), sorted.len());
1071 for (index, ((sorted_t, sorted_state), (unsorted_t, unsorted_state))) in
1072 sorted.iter().zip(&unsorted).enumerate()
1073 {
1074 assert_eq!(unsorted_t.to_bits(), sorted_t.to_bits());
1075 for component in 0..6 {
1076 assert_eq!(
1077 unsorted_state[component].to_bits(),
1078 sorted_state[component].to_bits(),
1079 "wind segment order changed state component {component} at point {index}"
1080 );
1081 }
1082 }
1083 }
1084
1085 #[test]
1086 fn rk4_target_crossing_interpolates_complete_state_and_time() {
1087 let initial_state = [0.0, 0.0, 0.0, 800.0, 5.0, 2.0];
1088 let target_distance_m = 100.0;
1089 let trajectory = integrate_trajectory(
1090 initial_state,
1091 (0.0, 1.0),
1092 create_test_params(target_distance_m),
1093 "RK4",
1094 1e-6,
1095 0.001,
1096 );
1097
1098 let (previous_t, previous_state) = &trajectory[trajectory.len() - 2];
1099 let (terminal_t, terminal_state) = trajectory.last().expect("trajectory is empty");
1100 let reference_params = create_test_params(target_distance_m);
1101 let inputs = build_inputs(&reference_params, Vector3::new(800.0, 5.0, 2.0).norm());
1102 let full_step_dt = 0.001;
1103 let bracket_end = rk4_step(
1104 previous_state,
1105 *previous_t,
1106 full_step_dt,
1107 &reference_params,
1108 &inputs,
1109 );
1110 assert!(previous_state[0] < target_distance_m);
1111 assert!(bracket_end[0] >= target_distance_m);
1112
1113 let alpha = (target_distance_m - previous_state[0]) / (bracket_end[0] - previous_state[0]);
1114 let expected_t = previous_t + alpha * full_step_dt;
1115 let mut expected_state = previous_state + alpha * (bracket_end - previous_state);
1116 expected_state[0] = target_distance_m;
1117
1118 assert_eq!(terminal_t.to_bits(), expected_t.to_bits());
1119 for component in 0..6 {
1120 assert_eq!(
1121 terminal_state[component].to_bits(),
1122 expected_state[component].to_bits(),
1123 "terminal component {component} was not interpolated at the target crossing"
1124 );
1125 }
1126 }
1127
1128 #[test]
1129 fn rk45_target_crossing_uses_the_accepted_state_and_time() {
1130 let initial_state = [0.0, 0.0, 0.0, 800.0, 5.0, 2.0];
1131 let initial = Vector6::from_row_slice(&initial_state);
1132 let target_distance_m = 0.5;
1133 let reference_params = create_test_params(target_distance_m);
1134 let inputs = build_inputs(&reference_params, Vector3::new(800.0, 5.0, 2.0).norm());
1135 let initial_dt = 0.001;
1136 let accepted = adaptive_rk45_step(
1137 &initial,
1138 0.0,
1139 initial_dt,
1140 &reference_params,
1141 &inputs,
1142 Rk45Control {
1143 tolerance: 1e-6,
1144 min_step: RK45_MIN_STEP,
1145 max_step: 0.01,
1146 max_trials: 100_000,
1147 },
1148 )
1149 .expect("first RK45 target bracket should be accepted");
1150 assert!(accepted.state[0] >= target_distance_m);
1151 let expected = interpolate_target_crossing(
1152 0.0,
1153 &initial,
1154 accepted.used_dt,
1155 &accepted.state,
1156 target_distance_m,
1157 );
1158
1159 let trajectory = integrate_trajectory(
1160 initial_state,
1161 (0.0, 1.0),
1162 create_test_params(target_distance_m),
1163 "RK45",
1164 1e-6,
1165 0.01,
1166 );
1167 let actual = trajectory.last().expect("trajectory is empty");
1168
1169 assert_eq!(actual.0.to_bits(), expected.0.to_bits());
1170 for component in 0..6 {
1171 assert_eq!(
1172 actual.1[component].to_bits(),
1173 expected.1[component].to_bits(),
1174 "RK45 terminal component {component} was not interpolated from its accepted step"
1175 );
1176 }
1177 }
1178
1179 #[test]
1180 fn target_crossing_helper_interpolates_every_component() {
1181 let start = Vector6::new(90.0, 10.0, -4.0, 700.0, -20.0, 5.0);
1182 let end = Vector6::new(130.0, 6.0, 8.0, 660.0, -24.0, 9.0);
1183 let (time, state) = interpolate_target_crossing(2.0, &start, 0.5, &end, 100.0);
1184
1185 assert_eq!(time.to_bits(), 2.125_f64.to_bits());
1186 for (index, expected) in [100.0_f64, 9.0, -1.0, 690.0, -21.0, 6.0]
1187 .into_iter()
1188 .enumerate()
1189 {
1190 assert_eq!(state[index].to_bits(), expected.to_bits());
1191 }
1192 }
1193
1194 #[test]
1195 fn already_at_or_past_target_returns_initial_state_without_advancing() {
1196 let initial = [150.0, 12.0, -3.0, 700.0, -4.0, 5.0];
1197
1198 for method in ["RK4", "RK45"] {
1199 for target in [150.0, 100.0] {
1200 let trajectory = integrate_trajectory(
1201 initial,
1202 (2.0, 3.0),
1203 create_test_params(target),
1204 method,
1205 1e-6,
1206 0.01,
1207 );
1208
1209 assert_eq!(trajectory.len(), 1, "{method} advanced a terminal state");
1210 let (time, state) = &trajectory[0];
1211 assert_eq!(time.to_bits(), 2.0_f64.to_bits());
1212 for index in 0..6 {
1213 assert_eq!(state[index].to_bits(), initial[index].to_bits());
1214 }
1215 }
1216 }
1217 }
1218
1219 #[test]
1220 fn rk45_error_norm_scales_components_independently() {
1221 let state = Vector6::new(1.0e9, 0.0, 0.0, 800.0, 0.0, 0.0);
1222 let fifth_order = state;
1223 let mut fourth_order = state;
1224 fourth_order[4] = 1.0e-3;
1225
1226 let error = rk45_error_norm(&state, &fifth_order, &fourth_order);
1227 let expected = 1.0e-3 / 6.0_f64.sqrt();
1228
1229 assert!(
1230 (error - expected).abs() <= 1e-15,
1231 "large downrange position masked a velocity-component error: {error}"
1232 );
1233 }
1234
1235 #[test]
1236 fn test_mba954_ground_threshold_honored() {
1237 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);
1245 deep.ground_threshold = -1000.0; let t_shallow =
1248 integrate_trajectory(initial_state, (0.0, 60.0), shallow, "RK4", 1e-6, 0.001);
1249 let t_deep = integrate_trajectory(initial_state, (0.0, 60.0), deep, "RK4", 1e-6, 0.001);
1250
1251 assert!(
1252 t_shallow.len() < t_deep.len(),
1253 "shallow ground_threshold (-20) should terminate earlier than deep (-1000): \
1254 shallow={}, deep={}",
1255 t_shallow.len(),
1256 t_deep.len()
1257 );
1258 }
1259
1260 #[test]
1261 fn test_integrate_trajectory_basic() {
1262 let initial_state = [0.0, -0.038, 0.0, 821.52, 48.61, 0.0];
1265
1266 let params = TrajectoryParams {
1267 mass_kg: 0.01134, bc: 0.442,
1269 bullet_diameter: 0.0078232, bullet_length: 0.031496, twist_rate: 10.0,
1272 drag_model: DragModel::G7,
1273 wind_segments: vec![WindSegment::new(0.0, 90.0, 914.4)],
1274 atmos_params: (0.0, 15.0, 1013.25, 1.0),
1275 omega_vector: None,
1276 enable_spin_drift: false,
1277 enable_magnus: false,
1278 enable_coriolis: false,
1279 target_distance_m: 914.4, enable_wind_shear: false,
1281 wind_shear_model: "none".to_string(),
1282 shooter_altitude_m: 0.0,
1283 is_twist_right: true,
1284 shooting_angle: 0.0,
1285 custom_drag_table: None,
1286 cd_scale: 1.0,
1287 bc_segments: None,
1288 use_bc_segments: false,
1289 ground_threshold: -1000.0,
1290 atmo_sock: None,
1291 };
1292
1293 println!("Running integrate_trajectory test...");
1294 println!("Initial state: {:?}", initial_state);
1295 println!("Target distance: {} m", params.target_distance_m);
1296
1297 let trajectory =
1298 integrate_trajectory(initial_state, (0.0, 10.0), params, "RK45", 1e-6, 0.01);
1299
1300 println!("Trajectory has {} points", trajectory.len());
1301
1302 assert!(
1304 trajectory.len() > 1,
1305 "Trajectory should have more than 1 point, but has {}",
1306 trajectory.len()
1307 );
1308
1309 if let Some((_, final_state)) = trajectory.last() {
1311 println!("Final state: downrange(x)={}", final_state[0]);
1312 assert!(
1313 final_state[0] > 0.0,
1314 "Final x should be positive (bullet moved downrange)"
1315 );
1316 assert!(
1317 final_state[0] >= 900.0,
1318 "Final x should be near target distance"
1319 );
1320 assert!(
1321 final_state[3] < 0.9 * initial_state[3],
1322 "standard-atmosphere drag should reduce downrange velocity"
1323 );
1324 }
1325 }
1326
1327 #[test]
1328 fn test_rk4_vs_rk45_consistency() {
1329 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let target_distance = 500.0;
1332
1333 let params_rk4 = create_test_params(target_distance);
1334 let params_rk45 = create_test_params(target_distance);
1335
1336 let trajectory_rk4 =
1337 integrate_trajectory(initial_state, (0.0, 5.0), params_rk4, "RK4", 1e-6, 0.001);
1338 let trajectory_rk45 =
1339 integrate_trajectory(initial_state, (0.0, 5.0), params_rk45, "RK45", 1e-6, 0.01);
1340
1341 assert!(!trajectory_rk4.is_empty());
1343 assert!(!trajectory_rk45.is_empty());
1344
1345 let (time_rk4, final_rk4) = trajectory_rk4.last().unwrap();
1346 let (time_rk45, final_rk45) = trajectory_rk45.last().unwrap();
1347
1348 assert!(
1350 (time_rk4 - time_rk45).abs() < 1e-4,
1351 "RK4/RK45 time of flight diverged: {time_rk4} vs {time_rk45}"
1352 );
1353 assert!((final_rk4[1] - final_rk45[1]).abs() < 1e-3);
1354 assert!((final_rk4[3] - final_rk45[3]).abs() < 1e-2);
1355 assert!(final_rk45[3] < 0.9 * initial_state[3]);
1356 }
1357
1358 #[test]
1359 fn test_ground_impact_detection() {
1360 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;
1365 let ground_threshold = 0.0;
1366 params.ground_threshold = ground_threshold;
1367
1368 let trajectory =
1369 integrate_trajectory(initial_state, (0.0, 20.0), params, "RK4", 1e-6, 0.01);
1370
1371 let (_, final_state) = trajectory.last().unwrap();
1373
1374 assert!(
1376 final_state[1] <= ground_threshold,
1377 "Should hit ground, but y={}",
1378 final_state[1]
1379 );
1380 assert!(
1381 final_state[0] < 10000.0,
1382 "Should not reach target, but z={}",
1383 final_state[0]
1384 );
1385 }
1386
1387 #[test]
1388 fn test_target_distance_reached() {
1389 let initial_state = [0.0, 0.0, 0.0, 800.0, 20.0, 0.0]; let target_distance = 300.0;
1391
1392 let params = create_test_params(target_distance);
1393
1394 let trajectory =
1395 integrate_trajectory(initial_state, (0.0, 5.0), params, "RK45", 1e-6, 0.01);
1396
1397 let (_, final_state) = trajectory.last().unwrap();
1398
1399 assert!(
1401 (final_state[0] - target_distance).abs() < 1.0,
1402 "Should reach target at {}m, but stopped at {}m",
1403 target_distance,
1404 final_state[0]
1405 );
1406 }
1407
1408 #[test]
1409 fn test_wind_affects_trajectory() {
1410 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let target_distance = 500.0;
1415
1416 let params_no_wind = create_test_params(target_distance);
1418
1419 let mut params_headwind = create_test_params(target_distance);
1421 params_headwind.wind_segments = vec![WindSegment::new(72.0, 0.0, 500.0)]; let trajectory_no_wind = integrate_trajectory(
1424 initial_state,
1425 (0.0, 5.0),
1426 params_no_wind,
1427 "RK45",
1428 1e-6,
1429 0.01,
1430 );
1431 let trajectory_headwind = integrate_trajectory(
1432 initial_state,
1433 (0.0, 5.0),
1434 params_headwind,
1435 "RK45",
1436 1e-6,
1437 0.01,
1438 );
1439
1440 assert!(
1442 !trajectory_no_wind.is_empty(),
1443 "No-wind trajectory should complete"
1444 );
1445 assert!(
1446 !trajectory_headwind.is_empty(),
1447 "Headwind trajectory should complete"
1448 );
1449
1450 let (time_no_wind, final_no_wind) = trajectory_no_wind.last().unwrap();
1451 let (time_headwind, final_headwind) = trajectory_headwind.last().unwrap();
1452
1453 let drop_no_wind = final_no_wind[1];
1456 let drop_headwind = final_headwind[1];
1457
1458 println!("No wind: time={}, drop={}", time_no_wind, drop_no_wind);
1459 println!("Headwind: time={}, drop={}", time_headwind, drop_headwind);
1460
1461 assert!(
1462 *time_headwind > *time_no_wind + 0.001,
1463 "headwind should increase time of flight: no-wind={time_no_wind}, headwind={time_headwind}"
1464 );
1465 assert!(
1466 final_headwind[3] < final_no_wind[3] - 1.0,
1467 "headwind should reduce terminal downrange velocity"
1468 );
1469
1470 assert!(
1472 (final_no_wind[0] - target_distance).abs() < 10.0,
1473 "No-wind should reach target"
1474 );
1475 assert!(
1476 (final_headwind[0] - target_distance).abs() < 10.0,
1477 "Headwind should reach target"
1478 );
1479 }
1480
1481 #[test]
1482 fn test_solve_trajectory_rust_output_format() {
1483 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let result = solve_trajectory_rust(
1486 initial_state,
1487 (0.0, 2.0),
1488 0.01134, 0.442, DragModel::G7, vec![], (0.0, 15.0, 1013.25, 1.0),
1494 None, false, false, false, "RK45".to_string(), 1e-6, 0.01, 500.0, );
1503
1504 assert!(!result.is_empty());
1506
1507 let first_point = &result[0];
1508 assert!(first_point.contains_key("t"));
1509 assert!(first_point.contains_key("x"));
1510 assert!(first_point.contains_key("y"));
1511 assert!(first_point.contains_key("z"));
1512 assert!(first_point.contains_key("vx"));
1513 assert!(first_point.contains_key("vy"));
1514 assert!(first_point.contains_key("vz"));
1515
1516 let final_point = result.last().unwrap();
1517 assert!(
1518 final_point["vx"] < 0.9 * initial_state[3],
1519 "standard-atmosphere wrapper fixture should exercise drag"
1520 );
1521 }
1522
1523 #[test]
1524 fn test_left_vs_right_twist() {
1525 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let target_distance = 500.0;
1527
1528 let mut params_right = create_test_params(target_distance);
1529 params_right.is_twist_right = true;
1530 params_right.enable_spin_drift = true;
1531
1532 let mut params_left = create_test_params(target_distance);
1533 params_left.is_twist_right = false;
1534 params_left.enable_spin_drift = true;
1535
1536 let trajectory_right =
1537 integrate_trajectory(initial_state, (0.0, 5.0), params_right, "RK45", 1e-6, 0.01);
1538 let trajectory_left =
1539 integrate_trajectory(initial_state, (0.0, 5.0), params_left, "RK45", 1e-6, 0.01);
1540
1541 assert!(!trajectory_right.is_empty());
1543 assert!(!trajectory_left.is_empty());
1544
1545 let (_, final_right) = trajectory_right.last().unwrap();
1547 let (_, final_left) = trajectory_left.last().unwrap();
1548
1549 assert!((final_right[2] - final_left[2]).abs() < 10.0);
1551 }
1552}