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 bc_segments: Option<Vec<(f64, f64)>>, pub use_bc_segments: bool, pub ground_threshold: f64,
271 pub atmo_sock: Option<crate::atmosphere::AtmoSock>,
275}
276
277fn build_inputs(params: &TrajectoryParams, muzzle_velocity_mps: f64) -> BallisticInputs {
283 let mut inputs = BallisticInputs {
284 bc_value: params.bc,
285 bc_type: params.drag_model,
286 bullet_mass: params.mass_kg, muzzle_velocity: muzzle_velocity_mps,
288 bullet_diameter: params.bullet_diameter, bullet_length: params.bullet_length,
290 twist_rate: params.twist_rate,
291 is_twist_right: params.is_twist_right,
292 enable_advanced_effects: params.enable_spin_drift
293 || params.enable_magnus
294 || params.enable_coriolis,
295 enable_magnus: params.enable_magnus,
296 enable_coriolis: params.enable_coriolis,
297 altitude: params.atmos_params.0,
298 temperature: params.atmos_params.1,
299 pressure: params.atmos_params.2,
300 humidity: params.atmos_params.3,
301 tipoff_yaw: 0.0,
302 target_distance: 1000.0, muzzle_angle: 0.0,
304 wind_speed: if !params.wind_segments.is_empty() {
305 params.wind_segments[0].speed_kmh * 0.2777778 } else {
307 0.0
308 },
309 wind_angle: if !params.wind_segments.is_empty() {
310 params.wind_segments[0].angle_deg.to_radians() } else {
312 0.0
313 },
314 latitude: None,
315 shooting_angle: params.shooting_angle,
316 cant_angle: 0.0,
317 azimuth_angle: 0.0,
318 shot_azimuth: 0.0, use_powder_sensitivity: false,
320 powder_temp_sensitivity: 0.0,
321 powder_temp: 59.0,
322 powder_temp_curve: None,
323 powder_curve_temp_c: None,
324 tipoff_decay_distance: 0.0,
325 ground_threshold: params.ground_threshold, bc_segments: params.bc_segments.clone(),
327 caliber_inches: params.bullet_diameter / 0.0254, weight_grains: params.mass_kg / crate::constants::GRAINS_TO_KG,
329 use_bc_segments: params.use_bc_segments,
330 bullet_id: None,
331 bc_segments_data: None,
332 use_enhanced_spin_drift: params.enable_spin_drift,
333 use_form_factor: false,
334 manufacturer: None,
335 bullet_model: None,
336 enable_wind_shear: false,
337 wind_shear_model: "none".to_string(),
338 use_cluster_bc: false,
339 bullet_cluster: None,
340 custom_drag_table: params.custom_drag_table.clone(),
341 bc_type_str: None,
342 enable_pitch_damping: false,
343 enable_precession_nutation: false,
344 enable_aerodynamic_jump: false,
350 use_rk4: true,
351 use_adaptive_rk45: false,
352 enable_trajectory_sampling: false,
353 sample_interval: 10.0,
354 sight_height: 0.0,
355 muzzle_height: 0.0,
356 target_height: 0.0,
357 };
358
359 if inputs.use_bc_segments && inputs.bc_segments_data.is_none() && inputs.bc_segments.is_none() {
366 inputs.bc_segments_data =
367 crate::derivatives::estimate_bc_segments_for(&inputs, inputs.bc_value);
368 }
369 inputs
370}
371
372fn compute_derivatives_vec(
374 state: &Vector6<f64>,
375 t: f64,
376 params: &TrajectoryParams,
377 inputs: &BallisticInputs,
378) -> Vector6<f64> {
379 let pos = Vector3::new(state[0], state[1], state[2]);
380 let vel = Vector3::new(state[3], state[4], state[5]);
381
382 let wind_vector = if !params.wind_segments.is_empty() {
384 if params.enable_wind_shear && params.wind_shear_model != "none" {
385 crate::wind_shear::get_wind_at_position(
386 &pos,
387 ¶ms.wind_segments,
388 params.enable_wind_shear,
389 ¶ms.wind_shear_model,
390 params.shooter_altitude_m,
391 )
392 } else {
393 wind_vector_for_range(pos.x, ¶ms.wind_segments)
394 }
395 } else {
396 Vector3::zeros()
397 };
398
399 let deriv_result = compute_derivatives(
402 pos,
403 vel,
404 inputs,
405 wind_vector,
406 params.atmos_params,
407 params.bc,
408 params.omega_vector,
409 t,
410 params.atmo_sock.as_ref(),
411 );
412
413 Vector6::new(
414 deriv_result[0],
415 deriv_result[1],
416 deriv_result[2],
417 deriv_result[3],
418 deriv_result[4],
419 deriv_result[5],
420 )
421}
422
423fn interpolate_target_crossing(
429 start_time: f64,
430 start: &Vector6<f64>,
431 step_dt: f64,
432 end: &Vector6<f64>,
433 target_x: f64,
434) -> (f64, Vector6<f64>) {
435 debug_assert!(start[0] <= target_x && target_x <= end[0] && end[0] > start[0]);
436
437 let alpha = (target_x - start[0]) / (end[0] - start[0]);
438 let crossing_time = start_time + alpha * step_dt;
439 let mut crossing_state = start + alpha * (end - start);
440 crossing_state[0] = target_x;
441
442 (crossing_time, crossing_state)
443}
444
445pub fn try_integrate_trajectory(
451 initial_state: [f64; 6],
452 t_span: (f64, f64),
453 params: TrajectoryParams,
454 method: &str,
455 tolerance: f64,
456 max_step: f64,
457) -> Result<Vec<(f64, Vector6<f64>)>, WindSegmentError> {
458 crate::wind::validate_wind_segments(¶ms.wind_segments)?;
459 Ok(integrate_trajectory(
460 initial_state,
461 t_span,
462 params,
463 method,
464 tolerance,
465 max_step,
466 ))
467}
468
469pub fn integrate_trajectory(
476 initial_state: [f64; 6],
477 t_span: (f64, f64),
478 mut params: TrajectoryParams,
479 method: &str,
480 tolerance: f64,
481 max_step: f64,
482) -> Vec<(f64, Vector6<f64>)> {
483 crate::wind::sort_wind_segments_by_distance(&mut params.wind_segments);
486
487 let mut state = Vector6::new(
488 initial_state[0],
489 initial_state[1],
490 initial_state[2],
491 initial_state[3],
492 initial_state[4],
493 initial_state[5],
494 );
495
496 let mut t = t_span.0;
497 let t_end = t_span.1;
498 let mut dt = (t_end - t) / 1000.0; let mut trajectory = Vec::with_capacity(10000);
501 trajectory.push((t, state));
502 if state[0] >= params.target_distance_m {
503 return trajectory;
504 }
505
506 let muzzle_velocity_mps =
509 Vector3::new(initial_state[3], initial_state[4], initial_state[5]).norm();
510 let inputs = build_inputs(¶ms, muzzle_velocity_mps);
511
512 match method {
513 "RK4" => {
514 dt = dt.min(max_step).min(0.001); while t < t_end {
518 if t + dt > t_end {
519 dt = t_end - t;
520 }
521
522 let new_state = rk4_step(&state, t, dt, ¶ms, &inputs);
523
524 if state[0] < params.target_distance_m && new_state[0] >= params.target_distance_m {
526 trajectory.push(interpolate_target_crossing(
527 t,
528 &state,
529 dt,
530 &new_state,
531 params.target_distance_m,
532 ));
533 break; }
535
536 state = new_state;
537 t += dt;
538 trajectory.push((t, state));
539
540 if state[0] >= params.target_distance_m {
542 break;
543 }
544
545 if state[1] < params.ground_threshold {
548 break;
549 }
550 }
551 }
552 _ => {
553 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 {
557 tolerance
558 } else {
559 eprintln!(
560 "WARNING: RK45 tolerance must be finite and positive; using {RK45_DEFAULT_TOLERANCE}"
561 );
562 RK45_DEFAULT_TOLERANCE
563 };
564
565 let effective_max_step =
568 if params.enable_wind_shear && params.wind_shear_model != "none" {
569 if params.target_distance_m > 800.0 {
571 0.01 } else {
573 0.02 }
575 } else {
576 max_step };
578 if !effective_max_step.is_finite() || effective_max_step <= 0.0 {
579 eprintln!("WARNING: RK45 max_step must be finite and positive");
580 return trajectory;
581 }
582 let min_step = RK45_MIN_STEP.min(effective_max_step);
583
584 dt = dt.min(effective_max_step).max(min_step);
586
587 let max_iterations = 100000; let mut iteration_count = 0;
590
591 while t < t_end && iteration_count < max_iterations {
592 if t + dt > t_end {
594 dt = t_end - t;
595 }
596
597 let control = Rk45Control {
598 tolerance,
599 min_step,
600 max_step: effective_max_step,
601 max_trials: max_iterations - iteration_count,
602 };
603 let accepted = match adaptive_rk45_step(&state, t, dt, ¶ms, &inputs, control) {
604 Ok(accepted) => accepted,
605 Err(trials) => {
606 iteration_count += trials;
607 if iteration_count < max_iterations {
608 eprintln!("WARNING: RK45 minimum-step trial was non-finite");
609 }
610 break;
611 }
612 };
613 iteration_count += accepted.trials;
614 debug_assert!(accepted.error <= tolerance || accepted.used_dt <= min_step);
615
616 if state[0] < params.target_distance_m
618 && accepted.state[0] >= params.target_distance_m
619 {
620 trajectory.push(interpolate_target_crossing(
621 t,
622 &state,
623 accepted.used_dt,
624 &accepted.state,
625 params.target_distance_m,
626 ));
627 break;
628 }
629
630 state = accepted.state;
632 t += accepted.used_dt;
633
634 if state[0] - last_save_x >= save_interval_m || state[0] >= params.target_distance_m
636 {
637 trajectory.push((t, state));
639 last_save_x = state[0];
640 }
641
642 dt = accepted.next_dt;
644
645 if state[0] >= params.target_distance_m {
647 break;
648 }
649
650 if state[1] < params.ground_threshold {
653 break;
654 }
655 }
656
657 if iteration_count >= max_iterations
659 && t < t_end
660 && state[0] < params.target_distance_m
661 && state[1] >= params.ground_threshold
662 {
663 eprintln!(
664 "WARNING: Trajectory integration hit maximum iteration limit ({} iterations)",
665 max_iterations
666 );
667 eprintln!(" Final time: {}, Target time: {}", t, t_end);
668 eprintln!(
669 " Final position: downrange(x)={}, Target: {}m",
670 state[0], params.target_distance_m
671 );
672 }
673 }
674 }
675
676 trajectory
677}
678
679#[allow(clippy::too_many_arguments)] pub fn try_solve_trajectory_rust(
685 initial_state: [f64; 6],
686 t_span: (f64, f64),
687 mass_kg: f64,
688 bc: f64,
689 drag_model: DragModel,
690 wind_segments: Vec<WindSegment>,
691 atmos_params: (f64, f64, f64, f64),
692 omega_vector: Option<Vec<f64>>,
693 enable_spin_drift: bool,
694 enable_magnus: bool,
695 enable_coriolis: bool,
696 method: String,
697 tolerance: f64,
698 max_step: f64,
699 target_distance_m: f64,
700) -> Result<Vec<HashMap<String, f64>>, WindSegmentError> {
701 crate::wind::validate_wind_segments(&wind_segments)?;
702 Ok(solve_trajectory_rust(
703 initial_state,
704 t_span,
705 mass_kg,
706 bc,
707 drag_model,
708 wind_segments,
709 atmos_params,
710 omega_vector,
711 enable_spin_drift,
712 enable_magnus,
713 enable_coriolis,
714 method,
715 tolerance,
716 max_step,
717 target_distance_m,
718 ))
719}
720
721#[allow(clippy::too_many_arguments)] pub fn solve_trajectory_rust(
727 initial_state: [f64; 6],
728 t_span: (f64, f64),
729 mass_kg: f64,
730 bc: f64,
731 drag_model: DragModel,
732 wind_segments: Vec<WindSegment>,
733 atmos_params: (f64, f64, f64, f64),
734 omega_vector: Option<Vec<f64>>,
735 enable_spin_drift: bool,
736 enable_magnus: bool,
737 enable_coriolis: bool,
738 method: String,
739 tolerance: f64,
740 max_step: f64,
741 target_distance_m: f64,
742) -> Vec<HashMap<String, f64>> {
743 let omega_vec = omega_vector.map(|v| Vector3::new(v[0], v[1], v[2]));
744
745 let params = TrajectoryParams {
746 mass_kg,
747 bc,
748 drag_model,
749 wind_segments,
750 atmos_params,
751 omega_vector: omega_vec,
752 enable_spin_drift,
753 enable_magnus,
754 enable_coriolis,
755 target_distance_m,
756 enable_wind_shear: false, wind_shear_model: "none".to_string(),
758 shooter_altitude_m: 0.0,
759 is_twist_right: true, shooting_angle: 0.0, bullet_diameter: 0.0078232,
764 bullet_length: 0.031496,
765 twist_rate: 10.0,
766 custom_drag_table: None, bc_segments: None, use_bc_segments: false,
769 ground_threshold: -1000.0, atmo_sock: None, };
772
773 let trajectory =
774 integrate_trajectory(initial_state, t_span, params, &method, tolerance, max_step);
775
776 trajectory
778 .into_iter()
779 .map(|(t, state)| {
780 let mut point = HashMap::new();
781 point.insert("t".to_string(), t);
782 point.insert("x".to_string(), state[0]);
783 point.insert("y".to_string(), state[1]);
784 point.insert("z".to_string(), state[2]);
785 point.insert("vx".to_string(), state[3]);
786 point.insert("vy".to_string(), state[4]);
787 point.insert("vz".to_string(), state[5]);
788 point
789 })
790 .collect()
791}
792
793#[cfg(test)]
794mod tests {
795 use super::*;
796
797 fn create_test_params(target_distance_m: f64) -> TrajectoryParams {
798 TrajectoryParams {
799 mass_kg: 0.01134, bc: 0.442,
801 bullet_diameter: 0.0078232, bullet_length: 0.031496, twist_rate: 10.0,
804 drag_model: DragModel::G7,
805 wind_segments: vec![],
806 atmos_params: (0.0, 15.0, 1013.25, 1.0),
807 omega_vector: None,
808 enable_spin_drift: false,
809 enable_magnus: false,
810 enable_coriolis: false,
811 target_distance_m,
812 enable_wind_shear: false,
813 wind_shear_model: "none".to_string(),
814 shooter_altitude_m: 0.0,
815 is_twist_right: true,
816 shooting_angle: 0.0,
817 custom_drag_table: None,
818 bc_segments: None,
819 use_bc_segments: false,
820 ground_threshold: -1000.0,
821 atmo_sock: None,
822 }
823 }
824
825 #[test]
826 fn try_integrate_trajectory_rejects_malformed_segments_before_any_points() {
827 let mut params = create_test_params(300.0);
830 params.wind_segments = vec![
831 WindSegment::new(10.0, 90.0, 200.0),
832 WindSegment::new(10.0, 90.0, f64::NAN),
833 ];
834 let err = try_integrate_trajectory(
835 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
836 (0.0, 2.0),
837 params,
838 "RK4",
839 1e-6,
840 0.001,
841 )
842 .unwrap_err();
843 assert_eq!(err.index, 1);
844 assert_eq!(err.field, crate::wind::WindSegmentField::UntilM);
845 assert_eq!(
846 err.to_string(),
847 "wind.segments[1].until_m must be finite and greater than zero"
848 );
849 }
850
851 #[test]
852 fn try_integrate_trajectory_matches_unchecked_on_valid_input() {
853 let mk = || {
854 let mut params = create_test_params(300.0);
855 params.wind_segments = vec![WindSegment::new(16.0934, 90.0, 500.0)];
856 params
857 };
858 let checked = try_integrate_trajectory(
859 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
860 (0.0, 2.0),
861 mk(),
862 "RK4",
863 1e-6,
864 0.001,
865 )
866 .expect("valid segments must integrate");
867 let unchecked = integrate_trajectory(
868 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
869 (0.0, 2.0),
870 mk(),
871 "RK4",
872 1e-6,
873 0.001,
874 );
875 assert_eq!(checked.len(), unchecked.len());
876 assert_eq!(checked.last().unwrap().1, unchecked.last().unwrap().1);
877 }
878
879 #[test]
880 fn try_solve_trajectory_rust_rejects_malformed_segments() {
881 let bad = vec![WindSegment::new(-5.0, 0.0, 100.0)];
882 let err = try_solve_trajectory_rust(
883 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
884 (0.0, 2.0),
885 0.01134,
886 0.442,
887 DragModel::G7,
888 bad,
889 (0.0, 15.0, 1013.25, 1.0),
890 None,
891 false,
892 false,
893 false,
894 "RK4".to_string(),
895 1e-6,
896 0.001,
897 300.0,
898 )
899 .unwrap_err();
900 assert_eq!(err.index, 0);
901 assert_eq!(err.field, crate::wind::WindSegmentField::SpeedKmh);
902 assert_eq!(
903 err.to_string(),
904 "wind.segments[0].speed_kmh must be finite and non-negative"
905 );
906 }
907
908 #[test]
909 fn try_solve_trajectory_rust_succeeds_on_valid_segments() {
910 let points = try_solve_trajectory_rust(
911 [0.0, 0.0, 0.0, 800.0, 0.0, 0.0],
912 (0.0, 2.0),
913 0.01134,
914 0.442,
915 DragModel::G7,
916 vec![WindSegment::new(16.0934, 90.0, 500.0)],
917 (0.0, 15.0, 1013.25, 1.0),
918 None,
919 false,
920 false,
921 false,
922 "RK4".to_string(),
923 1e-6,
924 0.001,
925 300.0,
926 )
927 .expect("valid segments must solve");
928 assert!(!points.is_empty());
929 assert!(points.last().unwrap()["x"] > 0.0);
930 }
931
932 #[test]
933 fn derivative_inputs_preserve_initial_velocity_as_muzzle_speed() {
934 let params = create_test_params(1_000.0);
935 let launch_velocity = Vector3::new(700.0, 30.0, -20.0);
936 let inputs = build_inputs(¶ms, launch_velocity.norm());
937
938 assert_eq!(
939 inputs.muzzle_velocity.to_bits(),
940 launch_velocity.norm().to_bits()
941 );
942 }
943
944 #[test]
945 fn integrated_magnus_retains_nonzero_launch_spin() {
946 let initial_state = [0.0, 0.0, 0.0, 800.0, 0.0, 0.0];
947 let baseline = integrate_trajectory(
948 initial_state,
949 (0.0, 0.1),
950 create_test_params(1_000.0),
951 "RK4",
952 1e-6,
953 0.001,
954 );
955 let mut magnus_params = create_test_params(1_000.0);
956 magnus_params.enable_magnus = true;
957
958 let trajectory = integrate_trajectory(
959 initial_state,
960 (0.0, 0.1),
961 magnus_params,
962 "RK4",
963 1e-6,
964 0.001,
965 );
966 let baseline_y = baseline.last().expect("baseline trajectory is empty").1[1];
967 let magnus_y = trajectory.last().expect("trajectory is empty").1[1];
968 let vertical_delta = magnus_y - baseline_y;
969
970 assert!(
971 vertical_delta.is_finite() && vertical_delta < 0.0,
972 "right-twist Magnus should retain nonzero launch spin and point down, got \
973 delta_y={vertical_delta}"
974 );
975 }
976
977 #[test]
978 fn rk45_retries_rejected_wind_boundary_step() {
979 let initial_state = [0.0, 0.0, 0.0, 800.0, 0.0, 0.0];
980 let mut params = create_test_params(100.0);
981 params.wind_segments = vec![
982 WindSegment::new(0.0, 90.0, 4.0),
983 WindSegment::new(1_000.0, 90.0, 10_000.0),
984 ];
985
986 let state = Vector6::from_row_slice(&initial_state);
987 let launch_speed =
988 Vector3::new(initial_state[3], initial_state[4], initial_state[5]).norm();
989 let inputs = build_inputs(¶ms, launch_speed);
990 let initial_dt = 0.01;
991 let tolerance = 1e-6;
992 let (rejected_state, suggested_dt, error) =
993 rk45_step(&state, 0.0, initial_dt, ¶ms, &inputs, tolerance);
994 assert!(
995 error > tolerance,
996 "wind-boundary trial must exceed tolerance, got {error}"
997 );
998 assert!(suggested_dt < initial_dt);
999
1000 let accepted = adaptive_rk45_step(
1001 &state,
1002 0.0,
1003 initial_dt,
1004 ¶ms,
1005 &inputs,
1006 Rk45Control {
1007 tolerance,
1008 min_step: RK45_MIN_STEP,
1009 max_step: initial_dt,
1010 max_trials: 100,
1011 },
1012 )
1013 .expect("a smaller finite trial should satisfy the tolerance");
1014
1015 assert!(accepted.trials > 1, "oversized trial was not retried");
1016 assert!(accepted.used_dt < initial_dt);
1017 assert!(
1018 accepted.error <= tolerance || accepted.used_dt <= RK45_MIN_STEP,
1019 "accepted error {} exceeds tolerance at dt {}",
1020 accepted.error,
1021 accepted.used_dt
1022 );
1023
1024 let (accepted_state, _, accepted_error) =
1025 rk45_step(&state, 0.0, accepted.used_dt, ¶ms, &inputs, tolerance);
1026 assert_eq!(accepted.state, accepted_state);
1027 assert_eq!(accepted.error, accepted_error);
1028 assert_ne!(accepted.state, rejected_state);
1029 assert!((RK45_MIN_STEP..=initial_dt).contains(&accepted.next_dt));
1030 }
1031
1032 #[test]
1033 fn integration_normalizes_wind_segments_by_distance() {
1034 let initial_state = [0.0, 0.0, 0.0, 800.0, 0.0, 0.0];
1035 let sorted_segments = vec![
1036 WindSegment::new(40.0, 270.0, 300.0),
1037 WindSegment::new(20.0, 90.0, 600.0),
1038 ];
1039
1040 let mut sorted_params = create_test_params(100.0);
1041 sorted_params.wind_segments = sorted_segments.clone();
1042 let mut unsorted_params = create_test_params(100.0);
1043 unsorted_params.wind_segments = sorted_segments.into_iter().rev().collect();
1044
1045 let sorted =
1046 integrate_trajectory(initial_state, (0.0, 1.0), sorted_params, "RK4", 1e-6, 0.001);
1047 let unsorted = integrate_trajectory(
1048 initial_state,
1049 (0.0, 1.0),
1050 unsorted_params,
1051 "RK4",
1052 1e-6,
1053 0.001,
1054 );
1055
1056 assert_eq!(unsorted.len(), sorted.len());
1057 for (index, ((sorted_t, sorted_state), (unsorted_t, unsorted_state))) in
1058 sorted.iter().zip(&unsorted).enumerate()
1059 {
1060 assert_eq!(unsorted_t.to_bits(), sorted_t.to_bits());
1061 for component in 0..6 {
1062 assert_eq!(
1063 unsorted_state[component].to_bits(),
1064 sorted_state[component].to_bits(),
1065 "wind segment order changed state component {component} at point {index}"
1066 );
1067 }
1068 }
1069 }
1070
1071 #[test]
1072 fn rk4_target_crossing_interpolates_complete_state_and_time() {
1073 let initial_state = [0.0, 0.0, 0.0, 800.0, 5.0, 2.0];
1074 let target_distance_m = 100.0;
1075 let trajectory = integrate_trajectory(
1076 initial_state,
1077 (0.0, 1.0),
1078 create_test_params(target_distance_m),
1079 "RK4",
1080 1e-6,
1081 0.001,
1082 );
1083
1084 let (previous_t, previous_state) = &trajectory[trajectory.len() - 2];
1085 let (terminal_t, terminal_state) = trajectory.last().expect("trajectory is empty");
1086 let reference_params = create_test_params(target_distance_m);
1087 let inputs = build_inputs(&reference_params, Vector3::new(800.0, 5.0, 2.0).norm());
1088 let full_step_dt = 0.001;
1089 let bracket_end = rk4_step(
1090 previous_state,
1091 *previous_t,
1092 full_step_dt,
1093 &reference_params,
1094 &inputs,
1095 );
1096 assert!(previous_state[0] < target_distance_m);
1097 assert!(bracket_end[0] >= target_distance_m);
1098
1099 let alpha = (target_distance_m - previous_state[0]) / (bracket_end[0] - previous_state[0]);
1100 let expected_t = previous_t + alpha * full_step_dt;
1101 let mut expected_state = previous_state + alpha * (bracket_end - previous_state);
1102 expected_state[0] = target_distance_m;
1103
1104 assert_eq!(terminal_t.to_bits(), expected_t.to_bits());
1105 for component in 0..6 {
1106 assert_eq!(
1107 terminal_state[component].to_bits(),
1108 expected_state[component].to_bits(),
1109 "terminal component {component} was not interpolated at the target crossing"
1110 );
1111 }
1112 }
1113
1114 #[test]
1115 fn rk45_target_crossing_uses_the_accepted_state_and_time() {
1116 let initial_state = [0.0, 0.0, 0.0, 800.0, 5.0, 2.0];
1117 let initial = Vector6::from_row_slice(&initial_state);
1118 let target_distance_m = 0.5;
1119 let reference_params = create_test_params(target_distance_m);
1120 let inputs = build_inputs(&reference_params, Vector3::new(800.0, 5.0, 2.0).norm());
1121 let initial_dt = 0.001;
1122 let accepted = adaptive_rk45_step(
1123 &initial,
1124 0.0,
1125 initial_dt,
1126 &reference_params,
1127 &inputs,
1128 Rk45Control {
1129 tolerance: 1e-6,
1130 min_step: RK45_MIN_STEP,
1131 max_step: 0.01,
1132 max_trials: 100_000,
1133 },
1134 )
1135 .expect("first RK45 target bracket should be accepted");
1136 assert!(accepted.state[0] >= target_distance_m);
1137 let expected = interpolate_target_crossing(
1138 0.0,
1139 &initial,
1140 accepted.used_dt,
1141 &accepted.state,
1142 target_distance_m,
1143 );
1144
1145 let trajectory = integrate_trajectory(
1146 initial_state,
1147 (0.0, 1.0),
1148 create_test_params(target_distance_m),
1149 "RK45",
1150 1e-6,
1151 0.01,
1152 );
1153 let actual = trajectory.last().expect("trajectory is empty");
1154
1155 assert_eq!(actual.0.to_bits(), expected.0.to_bits());
1156 for component in 0..6 {
1157 assert_eq!(
1158 actual.1[component].to_bits(),
1159 expected.1[component].to_bits(),
1160 "RK45 terminal component {component} was not interpolated from its accepted step"
1161 );
1162 }
1163 }
1164
1165 #[test]
1166 fn target_crossing_helper_interpolates_every_component() {
1167 let start = Vector6::new(90.0, 10.0, -4.0, 700.0, -20.0, 5.0);
1168 let end = Vector6::new(130.0, 6.0, 8.0, 660.0, -24.0, 9.0);
1169 let (time, state) = interpolate_target_crossing(2.0, &start, 0.5, &end, 100.0);
1170
1171 assert_eq!(time.to_bits(), 2.125_f64.to_bits());
1172 for (index, expected) in [100.0_f64, 9.0, -1.0, 690.0, -21.0, 6.0]
1173 .into_iter()
1174 .enumerate()
1175 {
1176 assert_eq!(state[index].to_bits(), expected.to_bits());
1177 }
1178 }
1179
1180 #[test]
1181 fn already_at_or_past_target_returns_initial_state_without_advancing() {
1182 let initial = [150.0, 12.0, -3.0, 700.0, -4.0, 5.0];
1183
1184 for method in ["RK4", "RK45"] {
1185 for target in [150.0, 100.0] {
1186 let trajectory = integrate_trajectory(
1187 initial,
1188 (2.0, 3.0),
1189 create_test_params(target),
1190 method,
1191 1e-6,
1192 0.01,
1193 );
1194
1195 assert_eq!(trajectory.len(), 1, "{method} advanced a terminal state");
1196 let (time, state) = &trajectory[0];
1197 assert_eq!(time.to_bits(), 2.0_f64.to_bits());
1198 for index in 0..6 {
1199 assert_eq!(state[index].to_bits(), initial[index].to_bits());
1200 }
1201 }
1202 }
1203 }
1204
1205 #[test]
1206 fn rk45_error_norm_scales_components_independently() {
1207 let state = Vector6::new(1.0e9, 0.0, 0.0, 800.0, 0.0, 0.0);
1208 let fifth_order = state;
1209 let mut fourth_order = state;
1210 fourth_order[4] = 1.0e-3;
1211
1212 let error = rk45_error_norm(&state, &fifth_order, &fourth_order);
1213 let expected = 1.0e-3 / 6.0_f64.sqrt();
1214
1215 assert!(
1216 (error - expected).abs() <= 1e-15,
1217 "large downrange position masked a velocity-component error: {error}"
1218 );
1219 }
1220
1221 #[test]
1222 fn test_mba954_ground_threshold_honored() {
1223 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);
1231 deep.ground_threshold = -1000.0; let t_shallow =
1234 integrate_trajectory(initial_state, (0.0, 60.0), shallow, "RK4", 1e-6, 0.001);
1235 let t_deep = integrate_trajectory(initial_state, (0.0, 60.0), deep, "RK4", 1e-6, 0.001);
1236
1237 assert!(
1238 t_shallow.len() < t_deep.len(),
1239 "shallow ground_threshold (-20) should terminate earlier than deep (-1000): \
1240 shallow={}, deep={}",
1241 t_shallow.len(),
1242 t_deep.len()
1243 );
1244 }
1245
1246 #[test]
1247 fn test_integrate_trajectory_basic() {
1248 let initial_state = [0.0, -0.038, 0.0, 821.52, 48.61, 0.0];
1251
1252 let params = TrajectoryParams {
1253 mass_kg: 0.01134, bc: 0.442,
1255 bullet_diameter: 0.0078232, bullet_length: 0.031496, twist_rate: 10.0,
1258 drag_model: DragModel::G7,
1259 wind_segments: vec![WindSegment::new(0.0, 90.0, 914.4)],
1260 atmos_params: (0.0, 15.0, 1013.25, 1.0),
1261 omega_vector: None,
1262 enable_spin_drift: false,
1263 enable_magnus: false,
1264 enable_coriolis: false,
1265 target_distance_m: 914.4, enable_wind_shear: false,
1267 wind_shear_model: "none".to_string(),
1268 shooter_altitude_m: 0.0,
1269 is_twist_right: true,
1270 shooting_angle: 0.0,
1271 custom_drag_table: None,
1272 bc_segments: None,
1273 use_bc_segments: false,
1274 ground_threshold: -1000.0,
1275 atmo_sock: None,
1276 };
1277
1278 println!("Running integrate_trajectory test...");
1279 println!("Initial state: {:?}", initial_state);
1280 println!("Target distance: {} m", params.target_distance_m);
1281
1282 let trajectory =
1283 integrate_trajectory(initial_state, (0.0, 10.0), params, "RK45", 1e-6, 0.01);
1284
1285 println!("Trajectory has {} points", trajectory.len());
1286
1287 assert!(
1289 trajectory.len() > 1,
1290 "Trajectory should have more than 1 point, but has {}",
1291 trajectory.len()
1292 );
1293
1294 if let Some((_, final_state)) = trajectory.last() {
1296 println!("Final state: downrange(x)={}", final_state[0]);
1297 assert!(
1298 final_state[0] > 0.0,
1299 "Final x should be positive (bullet moved downrange)"
1300 );
1301 assert!(
1302 final_state[0] >= 900.0,
1303 "Final x should be near target distance"
1304 );
1305 assert!(
1306 final_state[3] < 0.9 * initial_state[3],
1307 "standard-atmosphere drag should reduce downrange velocity"
1308 );
1309 }
1310 }
1311
1312 #[test]
1313 fn test_rk4_vs_rk45_consistency() {
1314 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let target_distance = 500.0;
1317
1318 let params_rk4 = create_test_params(target_distance);
1319 let params_rk45 = create_test_params(target_distance);
1320
1321 let trajectory_rk4 =
1322 integrate_trajectory(initial_state, (0.0, 5.0), params_rk4, "RK4", 1e-6, 0.001);
1323 let trajectory_rk45 =
1324 integrate_trajectory(initial_state, (0.0, 5.0), params_rk45, "RK45", 1e-6, 0.01);
1325
1326 assert!(!trajectory_rk4.is_empty());
1328 assert!(!trajectory_rk45.is_empty());
1329
1330 let (time_rk4, final_rk4) = trajectory_rk4.last().unwrap();
1331 let (time_rk45, final_rk45) = trajectory_rk45.last().unwrap();
1332
1333 assert!(
1335 (time_rk4 - time_rk45).abs() < 1e-4,
1336 "RK4/RK45 time of flight diverged: {time_rk4} vs {time_rk45}"
1337 );
1338 assert!((final_rk4[1] - final_rk45[1]).abs() < 1e-3);
1339 assert!((final_rk4[3] - final_rk45[3]).abs() < 1e-2);
1340 assert!(final_rk45[3] < 0.9 * initial_state[3]);
1341 }
1342
1343 #[test]
1344 fn test_ground_impact_detection() {
1345 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;
1350 let ground_threshold = 0.0;
1351 params.ground_threshold = ground_threshold;
1352
1353 let trajectory =
1354 integrate_trajectory(initial_state, (0.0, 20.0), params, "RK4", 1e-6, 0.01);
1355
1356 let (_, final_state) = trajectory.last().unwrap();
1358
1359 assert!(
1361 final_state[1] <= ground_threshold,
1362 "Should hit ground, but y={}",
1363 final_state[1]
1364 );
1365 assert!(
1366 final_state[0] < 10000.0,
1367 "Should not reach target, but z={}",
1368 final_state[0]
1369 );
1370 }
1371
1372 #[test]
1373 fn test_target_distance_reached() {
1374 let initial_state = [0.0, 0.0, 0.0, 800.0, 20.0, 0.0]; let target_distance = 300.0;
1376
1377 let params = create_test_params(target_distance);
1378
1379 let trajectory =
1380 integrate_trajectory(initial_state, (0.0, 5.0), params, "RK45", 1e-6, 0.01);
1381
1382 let (_, final_state) = trajectory.last().unwrap();
1383
1384 assert!(
1386 (final_state[0] - target_distance).abs() < 1.0,
1387 "Should reach target at {}m, but stopped at {}m",
1388 target_distance,
1389 final_state[0]
1390 );
1391 }
1392
1393 #[test]
1394 fn test_wind_affects_trajectory() {
1395 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let target_distance = 500.0;
1400
1401 let params_no_wind = create_test_params(target_distance);
1403
1404 let mut params_headwind = create_test_params(target_distance);
1406 params_headwind.wind_segments = vec![WindSegment::new(72.0, 0.0, 500.0)]; let trajectory_no_wind = integrate_trajectory(
1409 initial_state,
1410 (0.0, 5.0),
1411 params_no_wind,
1412 "RK45",
1413 1e-6,
1414 0.01,
1415 );
1416 let trajectory_headwind = integrate_trajectory(
1417 initial_state,
1418 (0.0, 5.0),
1419 params_headwind,
1420 "RK45",
1421 1e-6,
1422 0.01,
1423 );
1424
1425 assert!(
1427 !trajectory_no_wind.is_empty(),
1428 "No-wind trajectory should complete"
1429 );
1430 assert!(
1431 !trajectory_headwind.is_empty(),
1432 "Headwind trajectory should complete"
1433 );
1434
1435 let (time_no_wind, final_no_wind) = trajectory_no_wind.last().unwrap();
1436 let (time_headwind, final_headwind) = trajectory_headwind.last().unwrap();
1437
1438 let drop_no_wind = final_no_wind[1];
1441 let drop_headwind = final_headwind[1];
1442
1443 println!("No wind: time={}, drop={}", time_no_wind, drop_no_wind);
1444 println!("Headwind: time={}, drop={}", time_headwind, drop_headwind);
1445
1446 assert!(
1447 *time_headwind > *time_no_wind + 0.001,
1448 "headwind should increase time of flight: no-wind={time_no_wind}, headwind={time_headwind}"
1449 );
1450 assert!(
1451 final_headwind[3] < final_no_wind[3] - 1.0,
1452 "headwind should reduce terminal downrange velocity"
1453 );
1454
1455 assert!(
1457 (final_no_wind[0] - target_distance).abs() < 10.0,
1458 "No-wind should reach target"
1459 );
1460 assert!(
1461 (final_headwind[0] - target_distance).abs() < 10.0,
1462 "Headwind should reach target"
1463 );
1464 }
1465
1466 #[test]
1467 fn test_solve_trajectory_rust_output_format() {
1468 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let result = solve_trajectory_rust(
1471 initial_state,
1472 (0.0, 2.0),
1473 0.01134, 0.442, DragModel::G7, vec![], (0.0, 15.0, 1013.25, 1.0),
1479 None, false, false, false, "RK45".to_string(), 1e-6, 0.01, 500.0, );
1488
1489 assert!(!result.is_empty());
1491
1492 let first_point = &result[0];
1493 assert!(first_point.contains_key("t"));
1494 assert!(first_point.contains_key("x"));
1495 assert!(first_point.contains_key("y"));
1496 assert!(first_point.contains_key("z"));
1497 assert!(first_point.contains_key("vx"));
1498 assert!(first_point.contains_key("vy"));
1499 assert!(first_point.contains_key("vz"));
1500
1501 let final_point = result.last().unwrap();
1502 assert!(
1503 final_point["vx"] < 0.9 * initial_state[3],
1504 "standard-atmosphere wrapper fixture should exercise drag"
1505 );
1506 }
1507
1508 #[test]
1509 fn test_left_vs_right_twist() {
1510 let initial_state = [0.0, 0.0, 0.0, 800.0, 30.0, 0.0]; let target_distance = 500.0;
1512
1513 let mut params_right = create_test_params(target_distance);
1514 params_right.is_twist_right = true;
1515 params_right.enable_spin_drift = true;
1516
1517 let mut params_left = create_test_params(target_distance);
1518 params_left.is_twist_right = false;
1519 params_left.enable_spin_drift = true;
1520
1521 let trajectory_right =
1522 integrate_trajectory(initial_state, (0.0, 5.0), params_right, "RK45", 1e-6, 0.01);
1523 let trajectory_left =
1524 integrate_trajectory(initial_state, (0.0, 5.0), params_left, "RK45", 1e-6, 0.01);
1525
1526 assert!(!trajectory_right.is_empty());
1528 assert!(!trajectory_left.is_empty());
1529
1530 let (_, final_right) = trajectory_right.last().unwrap();
1532 let (_, final_left) = trajectory_left.last().unwrap();
1533
1534 assert!((final_right[2] - final_left[2]).abs() < 10.0);
1536 }
1537}