1use crate::{
7 atmosphere::get_local_atmosphere,
8 constants::{G_ACCEL_MPS2, MPS_TO_FPS},
9 drag::get_drag_coefficient,
10 wind::WindSock,
11 BCSegmentData, DragModel, InternalBallisticInputs as BallisticInputs,
12};
13use nalgebra::Vector3;
14
15#[derive(Debug, Clone)]
17pub struct FastSolution {
18 pub t: Vec<f64>,
20 pub y: Vec<Vec<f64>>,
22 pub t_events: [Vec<f64>; 3],
24 pub success: bool,
26}
27
28impl FastSolution {
29 pub fn sol(&self, t_query: &[f64]) -> Vec<Vec<f64>> {
31 let mut result = vec![vec![0.0; t_query.len()]; 6];
32
33 for (i, &tq) in t_query.iter().enumerate() {
34 let idx = match self
37 .t
38 .binary_search_by(|&t| t.partial_cmp(&tq).unwrap_or(std::cmp::Ordering::Greater))
39 {
40 Ok(idx) => idx,
41 Err(idx) => idx,
42 };
43
44 if idx == 0 {
45 for j in 0..6 {
47 result[j][i] = self.y[j][0];
48 }
49 } else if idx >= self.t.len() {
50 for j in 0..6 {
52 result[j][i] = self.y[j][self.t.len() - 1];
53 }
54 } else {
55 let t0 = self.t[idx - 1];
57 let t1 = self.t[idx];
58 let frac = (tq - t0) / (t1 - t0);
59
60 for j in 0..6 {
61 let y0 = self.y[j][idx - 1];
62 let y1 = self.y[j][idx];
63 result[j][i] = y0 + frac * (y1 - y0);
64 }
65 }
66 }
67
68 result
69 }
70
71 pub fn from_trajectory_data(
73 times: Vec<f64>,
74 states: Vec<[f64; 6]>,
75 t_events: [Vec<f64>; 3],
76 ) -> Self {
77 let n_points = times.len();
78 let mut y = vec![vec![0.0; n_points]; 6];
79
80 for (i, state) in states.iter().enumerate() {
81 for j in 0..6 {
82 y[j][i] = state[j];
83 }
84 }
85
86 FastSolution {
87 t: times,
88 y,
89 t_events,
90 success: true,
91 }
92 }
93}
94
95pub struct FastIntegrationParams {
97 pub horiz: f64,
98 pub vert: f64,
99 pub initial_state: [f64; 6],
100 pub t_span: (f64, f64),
101 pub atmo_params: (f64, f64, f64, f64),
102}
103
104pub fn fast_integrate(
106 inputs: &BallisticInputs,
107 wind_sock: &WindSock,
108 params: FastIntegrationParams,
109) -> FastSolution {
110 let _mass_kg = inputs.bullet_mass; let bc = inputs.bc_value;
113 let drag_model = &inputs.bc_type;
114
115 let has_bc_segments =
117 inputs.bc_segments.is_some() && !inputs.bc_segments.as_ref().unwrap().is_empty();
118 let has_bc_segments_data =
119 inputs.bc_segments_data.is_some() && !inputs.bc_segments_data.as_ref().unwrap().is_empty();
120
121 let dt = if params.horiz > 200.0 {
123 0.001
124 } else if params.horiz > 100.0 {
125 0.0005
126 } else {
127 0.0001
128 };
129
130 let vx = params.initial_state[3]; let t_max = if vx > 1e-6 && params.horiz > 0.0 {
141 (4.0 * params.horiz / vx).min(params.t_span.1)
142 } else {
143 params.t_span.1
144 };
145
146 let n_steps = ((t_max / dt) as usize) + 1;
148 let mut times = Vec::with_capacity(n_steps);
149 let mut states = Vec::with_capacity(n_steps);
150
151 times.push(0.0);
153 states.push(params.initial_state);
154
155 let base_density = if params.atmo_params.3 > 0.0 {
165 params.atmo_params.3 * 1.225
166 } else {
167 1.225 };
169
170 let drag_model_str: &str = match drag_model {
178 DragModel::G1 => "G1",
179 DragModel::G2 => "G2",
180 DragModel::G5 => "G5",
181 DragModel::G6 => "G6",
182 DragModel::G7 => "G7",
183 DragModel::G8 => "G8",
184 DragModel::GI => "GI",
185 DragModel::GS => "GS",
186 };
187
188 let caliber_in = if inputs.caliber_inches > 0.0 {
190 inputs.caliber_inches
191 } else {
192 inputs.bullet_diameter / 0.0254
193 };
194 let weight_gr = if inputs.weight_grains > 0.0 {
195 inputs.weight_grains
196 } else {
197 inputs.bullet_mass / 0.00006479891
198 };
199
200 let projectile_shape = if let Some(ref model) = inputs.bullet_model {
203 let m = model.to_lowercase();
204 if m.contains("boat") || m.contains("bt") {
205 crate::transonic_drag::ProjectileShape::BoatTail
206 } else if m.contains("round") || m.contains("rn") {
207 crate::transonic_drag::ProjectileShape::RoundNose
208 } else if m.contains("flat") || m.contains("fb") {
209 crate::transonic_drag::ProjectileShape::FlatBase
210 } else {
211 crate::transonic_drag::get_projectile_shape(caliber_in, weight_gr, drag_model_str)
212 }
213 } else {
214 crate::transonic_drag::get_projectile_shape(caliber_in, weight_gr, drag_model_str)
215 };
216
217 let mut hit_target = false;
219 let mut hit_ground = false;
220 let mut max_ord_time = None;
221 let mut max_ord_y = 0.0;
222 let ground_threshold = inputs.ground_threshold;
223
224 for i in 0..n_steps - 1 {
226 let t = i as f64 * dt;
227 let state = states[i];
228
229 let pos = Vector3::new(state[0], state[1], state[2]);
230 let _vel = Vector3::new(state[3], state[4], state[5]);
231
232 if pos.x >= params.horiz {
234 hit_target = true;
235 times.push(t);
236 states.push(state);
237 break;
238 }
239
240 if pos.y <= ground_threshold {
241 hit_ground = true;
242 times.push(t);
243 states.push(state);
244 break;
245 }
246
247 if pos.y > max_ord_y {
249 max_ord_y = pos.y;
250 max_ord_time = Some(t);
251 }
252
253 let k1 = compute_derivatives(
255 &state,
256 inputs,
257 wind_sock,
258 base_density,
259 drag_model,
260 projectile_shape,
261 bc,
262 has_bc_segments,
263 has_bc_segments_data,
264 );
265
266 let mut state2 = state;
267 for j in 0..6 {
268 state2[j] = state[j] + 0.5 * dt * k1[j];
269 }
270 let k2 = compute_derivatives(
271 &state2,
272 inputs,
273 wind_sock,
274 base_density,
275 drag_model,
276 projectile_shape,
277 bc,
278 has_bc_segments,
279 has_bc_segments_data,
280 );
281
282 let mut state3 = state;
283 for j in 0..6 {
284 state3[j] = state[j] + 0.5 * dt * k2[j];
285 }
286 let k3 = compute_derivatives(
287 &state3,
288 inputs,
289 wind_sock,
290 base_density,
291 drag_model,
292 projectile_shape,
293 bc,
294 has_bc_segments,
295 has_bc_segments_data,
296 );
297
298 let mut state4 = state;
299 for j in 0..6 {
300 state4[j] = state[j] + dt * k3[j];
301 }
302 let k4 = compute_derivatives(
303 &state4,
304 inputs,
305 wind_sock,
306 base_density,
307 drag_model,
308 projectile_shape,
309 bc,
310 has_bc_segments,
311 has_bc_segments_data,
312 );
313
314 let mut new_state = state;
316 for j in 0..6 {
317 new_state[j] = state[j] + dt * (k1[j] + 2.0 * k2[j] + 2.0 * k3[j] + k4[j]) / 6.0;
318 }
319
320 times.push(t + dt);
321 states.push(new_state);
322 }
323
324 let t_events = [
326 if hit_target {
327 vec![*times.last().unwrap()]
328 } else {
329 vec![]
330 },
331 if let Some(t) = max_ord_time {
332 vec![t]
333 } else {
334 vec![]
335 },
336 if hit_ground {
337 vec![*times.last().unwrap()]
338 } else {
339 vec![]
340 },
341 ];
342
343 FastSolution::from_trajectory_data(times, states, t_events)
344}
345
346fn compute_derivatives(
348 state: &[f64; 6],
349 inputs: &BallisticInputs,
350 wind_sock: &WindSock,
351 base_density: f64,
352 drag_model: &DragModel,
353 projectile_shape: crate::transonic_drag::ProjectileShape,
354 bc: f64,
355 has_bc_segments: bool,
356 has_bc_segments_data: bool,
357) -> [f64; 6] {
358 let pos = Vector3::new(state[0], state[1], state[2]);
359 let vel = Vector3::new(state[3], state[4], state[5]);
360
361 let wind_vector = wind_sock.vector_for_range_stateless(pos.x);
363
364 let vel_adjusted = vel - wind_vector;
366 let v_mag = vel_adjusted.norm();
367
368 let accel = if v_mag < 1e-6 {
370 Vector3::new(0.0, -G_ACCEL_MPS2, 0.0)
371 } else {
372 let v_fps = v_mag * MPS_TO_FPS;
374
375 let altitude = inputs.altitude + pos.y;
378 let (_, speed_of_sound) = get_local_atmosphere(
379 altitude,
380 inputs.altitude, inputs.temperature,
382 inputs.pressure,
383 if inputs.humidity > 0.0 { inputs.humidity } else { 1.0 },
384 );
385 let mach = v_mag / speed_of_sound;
386
387 let bc_current = if has_bc_segments_data && inputs.bc_segments_data.is_some() {
389 get_bc_from_velocity_segments(v_fps, inputs.bc_segments_data.as_ref().unwrap())
390 } else if has_bc_segments && inputs.bc_segments.is_some() {
391 crate::derivatives::interpolated_bc(
392 mach,
393 inputs.bc_segments.as_ref().unwrap(),
394 Some(inputs),
395 )
396 } else {
397 bc
398 };
399 let bc_current = bc_current.max(1e-6);
402
403 let base_cd = get_drag_coefficient(mach, drag_model);
409 let drag_factor =
410 crate::transonic_drag::transonic_correction(mach, base_cd, projectile_shape, false);
411
412 let cd_to_retard = 0.000683 * 0.30;
414 let standard_factor = drag_factor * cd_to_retard;
415 let density_scale = base_density / 1.225;
416
417 let a_drag_ft_s2 = (v_fps * v_fps) * standard_factor * density_scale / bc_current;
419
420 let a_drag_m_s2 = a_drag_ft_s2 * 0.3048; let accel_drag = -a_drag_m_s2 * (vel_adjusted / v_mag);
423
424 accel_drag + Vector3::new(0.0, -G_ACCEL_MPS2, 0.0)
426 };
427
428 [vel.x, vel.y, vel.z, accel.x, accel.y, accel.z]
430}
431
432fn get_bc_from_velocity_segments(velocity_fps: f64, segments: &[BCSegmentData]) -> f64 {
434 for segment in segments {
435 if velocity_fps >= segment.velocity_min && velocity_fps <= segment.velocity_max {
436 return segment.bc_value;
437 }
438 }
439
440 if let Some(first) = segments.first() {
442 if velocity_fps < first.velocity_min {
443 return first.bc_value;
444 }
445 }
446
447 if let Some(last) = segments.last() {
448 if velocity_fps > last.velocity_max {
449 return last.bc_value;
450 }
451 }
452
453 0.5
455}
456
457pub fn fast_integrate_with_segments(
460 inputs: &BallisticInputs,
461 wind_segments: Vec<crate::wind::WindSegment>,
462 params: FastIntegrationParams,
463) -> FastSolution {
464 use crate::trajectory_integration::{integrate_trajectory, TrajectoryParams};
466
467 let mass_kg = inputs.bullet_mass; let bc = inputs.bc_value;
470 let drag_model = inputs.bc_type;
471
472 let omega_vector = if inputs.enable_advanced_effects {
474 let omega_earth = 7.2921159e-5; let lat_rad = inputs.latitude.unwrap_or(0.0).to_radians();
480 let azimuth = inputs.azimuth_angle; Some(Vector3::new(
482 omega_earth * lat_rad.cos() * azimuth.cos(), omega_earth * lat_rad.sin(), omega_earth * lat_rad.cos() * azimuth.sin(), ))
486 } else {
487 None
488 };
489
490 let traj_params = TrajectoryParams {
492 mass_kg,
493 bc,
494 drag_model,
495 wind_segments,
496 atmos_params: params.atmo_params,
497 omega_vector,
498 enable_spin_drift: inputs.enable_advanced_effects,
499 enable_magnus: inputs.enable_advanced_effects,
500 enable_coriolis: inputs.enable_advanced_effects,
501 target_distance_m: params.horiz,
502 enable_wind_shear: inputs.enable_wind_shear,
503 wind_shear_model: inputs.wind_shear_model.clone(),
504 shooter_altitude_m: inputs.altitude,
505 is_twist_right: inputs.is_twist_right,
506 custom_drag_table: inputs.custom_drag_table.clone(),
507 bc_segments: inputs.bc_segments.clone(),
508 use_bc_segments: inputs.use_bc_segments,
509 };
510
511 let trajectory = integrate_trajectory(
513 params.initial_state,
514 params.t_span,
515 traj_params,
516 "RK45", 1e-6, 0.01, );
520
521 let n_points = trajectory.len();
523 let mut times = Vec::with_capacity(n_points);
524 let mut states = Vec::with_capacity(n_points);
525
526 let mut target_hit_time: Option<f64> = None;
527 let mut ground_hit_time: Option<f64> = None;
528 let mut max_ord_time = None;
529 let mut max_ord_y = 0.0;
530
531 for (t, state_vec) in trajectory {
532 let state = [
534 state_vec[0],
535 state_vec[1],
536 state_vec[2],
537 state_vec[3],
538 state_vec[4],
539 state_vec[5],
540 ];
541
542 if target_hit_time.is_none() && state[0] >= params.horiz {
547 target_hit_time = Some(t);
548 }
549
550 if ground_hit_time.is_none() && state[1] <= inputs.ground_threshold {
552 ground_hit_time = Some(t);
553 }
554
555 if state[1] > max_ord_y {
557 max_ord_y = state[1];
558 max_ord_time = Some(t);
559 }
560
561 times.push(t);
562 states.push(state);
563 }
564
565 let t_events = [
567 if let Some(t) = target_hit_time {
568 vec![t]
569 } else {
570 vec![]
571 },
572 if let Some(t) = max_ord_time {
573 vec![t]
574 } else {
575 vec![]
576 },
577 if let Some(t) = ground_hit_time {
578 vec![t]
579 } else {
580 vec![]
581 },
582 ];
583
584 FastSolution::from_trajectory_data(times, states, t_events)
585}
586
587#[cfg(test)]
588mod tests {
589 use super::*;
590
591 #[test]
592 fn test_fast_solution_interpolation() {
593 let times = vec![0.0, 1.0, 2.0];
594 let states = vec![
595 [0.0, 0.0, 0.0, 100.0, 50.0, 0.0],
596 [100.0, 45.0, 0.0, 99.0, 40.0, 0.0],
597 [198.0, 80.0, 0.0, 98.0, 30.0, 0.0],
598 ];
599
600 let solution = FastSolution::from_trajectory_data(times, states, [vec![], vec![], vec![]]);
601
602 let result = solution.sol(&[1.5]);
604
605 assert!((result[0][0] - 149.0).abs() < 1e-10); assert!((result[1][0] - 62.5).abs() < 1e-10); assert!((result[3][0] - 98.5).abs() < 1e-10); }
609
610 #[test]
611 fn test_bc_from_velocity_segments() {
612 let segments = vec![
613 BCSegmentData {
614 velocity_min: 0.0,
615 velocity_max: 1000.0,
616 bc_value: 0.5,
617 },
618 BCSegmentData {
619 velocity_min: 1000.0,
620 velocity_max: 2000.0,
621 bc_value: 0.52,
622 },
623 BCSegmentData {
624 velocity_min: 2000.0,
625 velocity_max: 3000.0,
626 bc_value: 0.55,
627 },
628 ];
629
630 assert_eq!(get_bc_from_velocity_segments(500.0, &segments), 0.5);
631 assert_eq!(get_bc_from_velocity_segments(1500.0, &segments), 0.52);
632 assert_eq!(get_bc_from_velocity_segments(2500.0, &segments), 0.55);
633
634 assert_eq!(get_bc_from_velocity_segments(-100.0, &segments), 0.5); assert_eq!(get_bc_from_velocity_segments(3500.0, &segments), 0.55); }
638
639 #[test]
640 fn test_fast_solution_interpolation_edge_cases() {
641 let times = vec![0.0, 1.0, 2.0, 3.0];
642 let states = vec![
643 [0.0, 0.0, 0.0, 800.0, 50.0, 0.0],
644 [800.0, 40.0, 100.0, 750.0, 30.0, 0.0],
645 [1550.0, 60.0, 200.0, 700.0, 10.0, 0.0],
646 [2250.0, 50.0, 300.0, 650.0, -10.0, 0.0],
647 ];
648
649 let solution = FastSolution::from_trajectory_data(times, states, [vec![], vec![], vec![]]);
650
651 let result_before = solution.sol(&[-0.5]);
653 assert!((result_before[0][0] - 0.0).abs() < 1e-10); let result_after = solution.sol(&[5.0]);
657 assert!((result_after[0][0] - 2250.0).abs() < 1e-10); let result_exact = solution.sol(&[1.0]);
661 assert!((result_exact[0][0] - 800.0).abs() < 1e-10);
662
663 let result_multi = solution.sol(&[0.5, 1.5, 2.5]);
665 assert_eq!(result_multi[0].len(), 3);
666 }
667
668 #[test]
669 fn test_fast_solution_from_trajectory_data() {
670 let times = vec![0.0, 0.5, 1.0];
671 let states = vec![
672 [0.0, 1.0, 2.0, 3.0, 4.0, 5.0],
673 [10.0, 11.0, 12.0, 13.0, 14.0, 15.0],
674 [20.0, 21.0, 22.0, 23.0, 24.0, 25.0],
675 ];
676 let t_events = [vec![1.0], vec![0.5], vec![]];
677
678 let solution = FastSolution::from_trajectory_data(times.clone(), states, t_events);
679
680 assert_eq!(solution.t, times);
682 assert_eq!(solution.y.len(), 6); assert_eq!(solution.y[0].len(), 3); assert!(solution.success);
685
686 assert_eq!(solution.y[0][0], 0.0); assert_eq!(solution.y[1][0], 1.0); assert_eq!(solution.y[0][2], 20.0); }
691
692 #[test]
693 fn test_bc_segments_boundary_conditions() {
694 let single_segment = vec![BCSegmentData {
696 velocity_min: 1000.0,
697 velocity_max: 2000.0,
698 bc_value: 0.5,
699 }];
700
701 assert_eq!(get_bc_from_velocity_segments(500.0, &single_segment), 0.5); assert_eq!(get_bc_from_velocity_segments(1500.0, &single_segment), 0.5); assert_eq!(get_bc_from_velocity_segments(2500.0, &single_segment), 0.5); let segments = vec![
708 BCSegmentData {
709 velocity_min: 0.0,
710 velocity_max: 999.0, bc_value: 0.45,
712 },
713 BCSegmentData {
714 velocity_min: 1000.0,
715 velocity_max: 2000.0,
716 bc_value: 0.50,
717 },
718 ];
719
720 assert_eq!(get_bc_from_velocity_segments(1000.0, &segments), 0.50); assert_eq!(get_bc_from_velocity_segments(0.0, &segments), 0.45); assert_eq!(get_bc_from_velocity_segments(999.0, &segments), 0.45); }
724
725 #[test]
726 fn test_bc_segments_empty_fallback() {
727 let empty_segments: Vec<BCSegmentData> = vec![];
728
729 let result = get_bc_from_velocity_segments(1500.0, &empty_segments);
731 assert_eq!(result, 0.5); }
733
734 #[test]
735 fn test_fast_integration_params() {
736 let params = FastIntegrationParams {
738 horiz: 1000.0,
739 vert: 0.0,
740 initial_state: [0.0, 0.0, 0.0, 800.0, 50.0, 0.0], t_span: (0.0, 5.0),
742 atmo_params: (0.0, 59.0, 29.92, 0.0),
743 };
744
745 assert_eq!(params.horiz, 1000.0);
746 assert_eq!(params.t_span.0, 0.0);
747 assert_eq!(params.t_span.1, 5.0);
748 assert_eq!(params.initial_state[3], 800.0); }
750
751 #[test]
752 fn test_fast_solution_event_arrays() {
753 let times = vec![0.0, 1.0, 2.0];
754 let states = vec![
755 [0.0, 0.0, 0.0, 800.0, 50.0, 0.0],
756 [800.0, 40.0, 500.0, 750.0, 30.0, 0.0],
757 [1500.0, 20.0, 1000.0, 700.0, 10.0, 0.0],
758 ];
759
760 let t_events = [
762 vec![2.0], vec![0.5], vec![], ];
766
767 let solution = FastSolution::from_trajectory_data(times, states, t_events);
768
769 assert_eq!(solution.t_events[0], vec![2.0]); assert_eq!(solution.t_events[1], vec![0.5]); assert!(solution.t_events[2].is_empty()); }
773}