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//! SimDrive methods that manipulate cycle on the fly
use super::simdrive_impl::*;
use super::*;
use crate::cycle::{
accel_array_for_constant_jerk, accel_for_constant_jerk, calc_constant_jerk_trajectory,
create_dist_and_target_speeds_by_microtrip, detect_passing, extend_cycle,
trapz_distance_for_step, trapz_step_distances, trapz_step_start_distance, PassingInfo,
};
use crate::simdrive::RustSimDrive;
use crate::utils::{add_from, max, min, ndarrcumsum, ndarrunique};
impl RustSimDrive {
/// Provides the gap-with lead vehicle from start to finish
pub fn gap_to_lead_vehicle_m(&self) -> Array1<f64> {
// TODO: consider basing on dist_m?
let mut gaps_m = ndarrcumsum(&trapz_step_distances(&self.cyc0))
- ndarrcumsum(&trapz_step_distances(&self.cyc));
if self.sim_params.idm_allow {
gaps_m += self.sim_params.idm_minimum_gap_m;
}
gaps_m
}
/// Sets the intelligent driver model parameters for an eco-cruise driving trajectory.
/// This is a convenience method instead of setting the sim_params.idm* parameters yourself.
/// - by_microtrip: bool, if True, target speed is set by microtrip, else by cycle
/// - extend_fraction: float, the fraction of time to extend the cycle to allow for catch-up
/// of the following vehicle
/// - blend_factor: float, a value between 0 and 1; only used of by_microtrip is True, blends
/// between microtrip average speed and microtrip average speed when moving. Must be
/// between 0 and 1 inclusive
/// - min_target_speed_m_per_s: float, the minimum speed allowed by the eco-cruise algorithm
/// Mutates the current SimDrive object for eco-cruise.
pub fn activate_eco_cruise_rust(
&mut self,
by_microtrip: bool, // False
extend_fraction: f64, // 0.1
blend_factor: f64, // 0.0
min_target_speed_m_per_s: f64, // 8.0
) -> anyhow::Result<()> {
self.sim_params.idm_allow = true;
if !by_microtrip {
self.sim_params.idm_v_desired_m_per_s =
if !self.cyc0.time_s.is_empty() && self.cyc0.time_s.last().unwrap() > &0.0 {
self.cyc0
.dist_m()
.slice(s![0..self.cyc0.time_s.len()])
.sum()
/ self.cyc0.time_s.last().unwrap()
} else {
0.0
};
} else {
ensure!(
(0.0..=1.0).contains(&blend_factor),
"blend_factor must be between 0 and 1 but got {}",
blend_factor
);
ensure!(
min_target_speed_m_per_s >= 0.0,
"min_target_speed_m_per_s must be >= 0.0 but got {}",
min_target_speed_m_per_s
);
self.sim_params.idm_v_desired_in_m_per_s_by_distance_m =
Some(create_dist_and_target_speeds_by_microtrip(
&self.cyc0,
blend_factor,
min_target_speed_m_per_s,
));
}
// Extend the duration of the base cycle
ensure!(
extend_fraction >= 0.0,
"extend_fraction must be >= 0.0 but got {}",
extend_fraction
);
if extend_fraction > 0.0 {
self.cyc0 = extend_cycle(&self.cyc0, None, Some(extend_fraction));
self.cyc = self.cyc0.clone();
}
Ok(())
}
/// Calculate the next speed by the Intelligent Driver Model
/// - i: int, the index
/// - a_m_per_s2: number, max acceleration (m/s2)
/// - b_m_per_s2: number, max deceleration (m/s2)
/// - dt_headway_s: number, the headway between us and the lead vehicle in seconds
/// - s0_m: number, the initial gap between us and the lead vehicle in meters
/// - v_desired_m_per_s: number, the desired speed in (m/s)
/// - delta: number, a shape parameter; typical value is 4.0
/// RETURN: number, the next speed (m/s)
/// REFERENCE:
/// Treiber, Martin and Kesting, Arne. 2013. "Chapter 11: Car-Following Models Based on Driving Strategies".
/// Traffic Flow Dynamics: Data, Models and Simulation. Springer-Verlag. Springer, Berlin, Heidelberg.
/// DOI: <https://doi.org/10.1007/978-3-642-32460-4>.
#[allow(clippy::too_many_arguments)]
pub fn next_speed_by_idm(
&mut self,
i: usize,
a_m_per_s2: f64,
b_m_per_s2: f64,
dt_headway_s: f64,
s0_m: f64,
v_desired_m_per_s: f64,
delta: f64,
) -> f64 {
if v_desired_m_per_s <= 0.0 {
return 0.0;
}
let a_m_per_s2 = a_m_per_s2.abs();
let b_m_per_s2 = b_m_per_s2.abs();
let dt_headway_s = max(dt_headway_s, 0.0);
// we assume the vehicles start out a "minimum gap" apart
let s0_m = max(0.0, s0_m);
// DERIVED VALUES
let sqrt_ab = (a_m_per_s2 * b_m_per_s2).powf(0.5);
let v0_m_per_s = self.mps_ach[i - 1];
let v0_lead_m_per_s = self.cyc0.mps[i - 1];
let dv0_m_per_s = v0_m_per_s - v0_lead_m_per_s;
let d0_lead_m: f64 = self.cyc0_cache.trapz_distances_m[(i - 1).max(0)] + s0_m;
let d0_m = trapz_step_start_distance(&self.cyc, i);
let s_m = max(d0_lead_m - d0_m, 0.01);
// IDM EQUATIONS
let s_target_m = s0_m
+ max(
0.0,
(v0_m_per_s * dt_headway_s) + ((v0_m_per_s * dv0_m_per_s) / (2.0 * sqrt_ab)),
);
let accel_target_m_per_s2 = a_m_per_s2
* (1.0 - ((v0_m_per_s / v_desired_m_per_s).powf(delta)) - ((s_target_m / s_m).powi(2)));
max(
v0_m_per_s + (accel_target_m_per_s2 * self.cyc.dt_s_at_i(i)),
0.0,
)
}
/// Set gap
/// - i: non-negative integer, the step index
/// RETURN: None
/// EFFECTS:
/// - sets the next speed (m/s)
/// EQUATION:
/// parameters:
/// - v_desired: the desired speed (m/s)
/// - delta: number, typical value is 4.0
/// - a: max acceleration, (m/s2)
/// - b: max deceleration, (m/s2)
/// s = d_lead - d
/// dv/dt = a * (1 - (v/v_desired)**delta - (s_desired(v,v-v_lead)/s)**2)
/// s_desired(v, dv) = s0 + max(0, v*dt_headway + (v * dv)/(2.0 * sqrt(a*b)))
/// REFERENCE:
/// Treiber, Martin and Kesting, Arne. 2013. "Chapter 11: Car-Following Models Based on Driving Strategies".
/// Traffic Flow Dynamics: Data, Models and Simulation. Springer-Verlag. Springer, Berlin, Heidelberg.
/// DOI: <https://doi.org/10.1007/978-3-642-32460-4>
pub fn set_speed_for_target_gap_using_idm(&mut self, i: usize) {
// PARAMETERS
let v_desired_m_per_s = if self.idm_target_speed_m_per_s[i] > 0.0 {
self.idm_target_speed_m_per_s[i]
} else {
*self.cyc0.mps.max().unwrap()
};
// DERIVED VALUES
self.cyc.mps[i] = self.next_speed_by_idm(
i,
self.sim_params.idm_accel_m_per_s2,
self.sim_params.idm_decel_m_per_s2,
self.sim_params.idm_dt_headway_s,
self.sim_params.idm_minimum_gap_m,
v_desired_m_per_s,
self.sim_params.idm_delta,
);
}
/// - i: non-negative integer, the step index
/// RETURN: None
/// EFFECTS:
/// - sets the next speed (m/s)
pub fn set_speed_for_target_gap(&mut self, i: usize) {
self.set_speed_for_target_gap_using_idm(i);
}
/// Provides a quick estimate for grade based only on the distance traveled
/// at the start of the current step. If the grade is constant over the
/// step, this is both quick and accurate.
/// NOTE:
/// If not allowing coasting (i.e., sim_params.coast_allow == False)
/// and not allowing IDM/following (i.e., self.sim_params.idm_allow == False)
/// then returns self.cyc.grade\[i\]
pub fn estimate_grade_for_step(&self, i: usize) -> f64 {
if self.cyc0_cache.grade_all_zero {
return 0.0;
}
if !self.sim_params.coast_allow && !self.sim_params.idm_allow {
return self.cyc.grade[i];
}
self.cyc0_cache
.interp_grade(trapz_step_start_distance(&self.cyc, i))
}
/// For situations where cyc can deviate from cyc0, this method
/// looks up and accurately interpolates what the average grade over
/// the step should be.
/// If mps_ach is not None, the mps_ach value is used to predict the
/// distance traveled over the step.
/// NOTE:
/// If not allowing coasting (i.e., sim_params.coast_allow == False)
/// and not allowing IDM/following (i.e., self.sim_params.idm_allow == False)
/// then returns self.cyc.grade\[i\]
pub fn lookup_grade_for_step(&self, i: usize, mps_ach: Option<f64>) -> f64 {
if self.cyc0_cache.grade_all_zero {
return 0.0;
}
if !self.sim_params.coast_allow && !self.sim_params.idm_allow {
return self.cyc.grade[i];
}
match mps_ach {
Some(mps_ach) => self.cyc0.average_grade_over_range(
trapz_step_start_distance(&self.cyc, i),
0.5 * (mps_ach + self.mps_ach[i - 1]) * self.cyc.dt_s_at_i(i),
Some(&self.cyc0_cache),
),
None => self.cyc0.average_grade_over_range(
trapz_step_start_distance(&self.cyc, i),
trapz_distance_for_step(&self.cyc, i),
Some(&self.cyc0_cache),
),
}
}
pub fn set_time_dilation(&mut self, i: usize) -> anyhow::Result<()> {
// if prescribed speed is zero, trace is met to avoid div-by-zero errors and other possible wackiness
let mut trace_met = (self.cyc.dist_m().slice(s![0..(i + 1)]).sum()
- self.dist_m.slice(s![0..(i + 1)]).sum())
.abs()
/ self.cyc0.dist_m().slice(s![0..(i + 1)]).sum()
< self.sim_params.time_dilation_tol
|| self.cyc.mps[i] == 0.0;
let mut d_short: Vec<f64> = vec![];
let mut t_dilation: Vec<f64> = vec![0.0]; // no time dilation initially
if !trace_met {
self.trace_miss_iters[i] += 1;
d_short.push(
self.cyc0.dist_m().slice(s![0..i + 1]).sum()
- self.dist_m.slice(s![0..i + 1]).sum(),
); // positive if behind trace
t_dilation.push(min(
max(
d_short.last().unwrap() / self.cyc0.dt_s_at_i(i) / self.mps_ach[i], // initial guess, speed that needed to be achived per speed that was achieved
self.sim_params.min_time_dilation,
),
self.sim_params.max_time_dilation,
));
// add time dilation factor * step size to current and subsequent times
self.cyc.time_s = add_from(
&self.cyc.time_s,
i,
self.cyc.dt_s_at_i(i) * t_dilation.last().unwrap(),
);
self.solve_step(i)?;
trace_met =
// convergence criteria
(self.cyc0.dist_m().slice(s![0..i+1]).sum() - self.dist_m.slice(s![0..i+1]).sum()).abs() / self.cyc0.dist_m().slice(s![0..i+1]).sum()
< self.sim_params.time_dilation_tol
// exceeding max time dilation
|| t_dilation.last().unwrap() >= &self.sim_params.max_time_dilation
// lower than min time dilation
|| t_dilation.last().unwrap() <= &self.sim_params.min_time_dilation;
}
while !trace_met {
// iterate newton's method until time dilation has converged or other exit criteria trigger trace_met == True
// distance shortfall [m]
// correct time steps
d_short.push(
self.cyc0.dist_m().slice(s![0..i + 1]).sum()
- self.dist_m.slice(s![0..i + 1]).sum(),
);
t_dilation.push(min(
max(
t_dilation.last().unwrap()
- (t_dilation.last().unwrap() - t_dilation[t_dilation.len() - 2])
/ (d_short.last().unwrap() - d_short[d_short.len() - 2])
* d_short.last().unwrap(),
self.sim_params.min_time_dilation,
),
self.sim_params.max_time_dilation,
));
self.cyc.time_s = add_from(
&self.cyc.time_s,
i,
self.cyc.dt_s_at_i(i) * t_dilation.last().unwrap(),
);
self.solve_step(i)?;
self.trace_miss_iters[i] += 1;
trace_met =
// convergence criteria
(self.cyc0.dist_m().slice(s![0..i+1]).sum() - self.dist_m.slice(s![0..i+1]).sum()).abs() / self.cyc0.dist_m().slice(s![0..i+1]).sum()
< self.sim_params.time_dilation_tol
// max iterations
|| self.trace_miss_iters[i] >= self.sim_params.max_trace_miss_iters
// exceeding max time dilation
|| t_dilation.last().unwrap() >= &self.sim_params.max_time_dilation
// lower than min time dilation
|| t_dilation.last().unwrap() <= &self.sim_params.min_time_dilation;
}
Ok(())
}
// Calculates the derivative dv/dd (change in speed by change in distance)
// - v: number, the speed at which to evaluate dv/dd (m/s)
// - grade: number, the road grade as a decimal fraction
// RETURN: number, the dv/dd for these conditions
fn calc_dvdd(&self, v: f64, grade: f64) -> f64 {
if v <= 0.0 {
0.0
} else {
let (atan_grade_sin, atan_grade_cos) = if grade == 0.0 {
(0.0, 1.0)
} else {
let atan_g = grade.atan();
(atan_g.sin(), atan_g.cos())
};
let g = self.props.a_grav_mps2;
let m = self.veh.veh_kg;
let rho_cdfa =
self.props.air_density_kg_per_m3 * self.veh.drag_coef * self.veh.frontal_area_m2;
let rrc = self.veh.wheel_rr_coef;
-1.0 * ((g / v) * (atan_grade_sin + rrc * atan_grade_cos)
+ (0.5 * rho_cdfa * (1.0 / m) * v))
}
}
fn apply_coast_trajectory(&mut self, coast_traj: CoastTrajectory) -> anyhow::Result<()> {
if coast_traj.found_trajectory {
let num_speeds = match coast_traj.speeds_m_per_s {
Some(speeds_m_per_s) => {
for (di, &new_speed) in speeds_m_per_s.iter().enumerate() {
let idx = coast_traj.start_idx + di;
if idx >= self.mps_ach.len() {
break;
}
self.cyc.mps[idx] = new_speed;
}
speeds_m_per_s.len()
}
None => 0,
};
let (_, n) = self.cyc.modify_with_braking_trajectory(
self.sim_params.coast_brake_accel_m_per_s2,
coast_traj.start_idx + num_speeds,
coast_traj.distance_to_brake_m,
)?;
for di in 0..(self.cyc0.mps.len() - coast_traj.start_idx) {
let idx = coast_traj.start_idx + di;
self.impose_coast[idx] = di < num_speeds + n;
}
}
Ok(())
}
/// Generate a coast trajectory without actually modifying the cycle.
/// This can be used to calculate the distance to stop via coast using
/// actual time-stepping and dynamically changing grade.
fn generate_coast_trajectory(&self, i: usize) -> CoastTrajectory {
let v0 = self.mps_ach[i - 1];
let v_brake = self.sim_params.coast_brake_start_speed_m_per_s;
let a_brake = self.sim_params.coast_brake_accel_m_per_s2;
assert![a_brake <= 0.0];
let ds = &self.cyc0_cache.trapz_distances_m;
let d0 = trapz_step_start_distance(&self.cyc, i);
let mut distances_m: Vec<f64> = Vec::with_capacity(ds.len());
let mut grade_by_distance: Vec<f64> = Vec::with_capacity(ds.len());
for idx in 0..ds.len() {
if ds[idx] >= d0 {
distances_m.push(ds[idx] - d0);
grade_by_distance.push(self.cyc0.grade[idx])
}
}
if distances_m.is_empty() {
return CoastTrajectory {
found_trajectory: false,
distance_to_stop_via_coast_m: 0.0,
start_idx: 0,
speeds_m_per_s: None,
distance_to_brake_m: None,
};
}
let distances_m = Array::from_vec(distances_m);
let grade_by_distance = Array::from_vec(grade_by_distance);
// distance traveled while stopping via friction-braking (i.e., distance to brake)
if v0 <= v_brake {
return CoastTrajectory {
found_trajectory: true,
distance_to_stop_via_coast_m: -0.5 * v0 * v0 / a_brake,
start_idx: i,
speeds_m_per_s: None,
distance_to_brake_m: None,
};
}
let dtb = -0.5 * v_brake * v_brake / a_brake;
let mut d = 0.0;
let d_max = distances_m.last().unwrap() - dtb;
let unique_grades = ndarrunique(&grade_by_distance);
let unique_grade: Option<f64> = if unique_grades.len() == 1 {
Some(unique_grades[0])
} else {
None
};
let has_unique_grade: bool = unique_grade.is_some();
let max_iter = 180;
let iters_per_step = if self.sim_params.favor_grade_accuracy {
2
} else {
1
};
let mut new_speeds_m_per_s: Vec<f64> = Vec::with_capacity(max_iter as usize);
let mut v = v0;
let mut iter = 0;
let mut idx = i;
let dts0 = self
.cyc0
.calc_distance_to_next_stop_from(d0, Some(&self.cyc0_cache));
while v > v_brake && v >= 0.0 && d <= d_max && iter < max_iter && idx < self.mps_ach.len() {
let dt_s = self.cyc0.dt_s_at_i(idx);
let mut gr = match unique_grade {
Some(g) => g,
None => self.cyc0_cache.interp_grade(d + d0),
};
let mut k = self.calc_dvdd(v, gr);
let mut v_next = v * (1.0 + 0.5 * k * dt_s) / (1.0 - 0.5 * k * dt_s);
let mut vavg = 0.5 * (v + v_next);
let mut dd: f64;
for _ in 0..iters_per_step {
k = self.calc_dvdd(vavg, gr);
v_next = v * (1.0 + 0.5 * k * dt_s) / (1.0 - 0.5 * k * dt_s);
vavg = 0.5 * (v + v_next);
dd = vavg * dt_s;
if self.sim_params.favor_grade_accuracy {
gr = match unique_grade {
Some(g) => g,
None => {
self.cyc0
.average_grade_over_range(d + d0, dd, Some(&self.cyc0_cache))
}
};
}
}
if k >= 0.0 && has_unique_grade {
// there is no solution for coastdown -- speed will never decrease
return CoastTrajectory {
found_trajectory: false,
distance_to_stop_via_coast_m: 0.0,
start_idx: 0,
speeds_m_per_s: None,
distance_to_brake_m: None,
};
}
if v_next <= v_brake {
break;
}
vavg = 0.5 * (v + v_next);
dd = vavg * dt_s;
let dtb = -0.5 * v_next * v_next / a_brake;
d += dd;
new_speeds_m_per_s.push(v_next);
v = v_next;
if d + dtb > dts0 {
break;
}
iter += 1;
idx += 1;
}
if iter < max_iter && idx < self.mps_ach.len() {
let dtb = -0.5 * v * v / a_brake;
let dtb_target = min(max(dts0 - d, 0.5 * dtb), 2.0 * dtb);
let dtsc = d + dtb_target;
return CoastTrajectory {
found_trajectory: true,
distance_to_stop_via_coast_m: dtsc,
start_idx: i,
speeds_m_per_s: Some(new_speeds_m_per_s),
distance_to_brake_m: Some(dtb_target),
};
}
CoastTrajectory {
found_trajectory: false,
distance_to_stop_via_coast_m: 0.0,
start_idx: 0,
speeds_m_per_s: None,
distance_to_brake_m: None,
}
}
/// Calculate the distance to stop via coasting in meters.
/// - i: non-negative-integer, the current index
/// RETURN: non-negative-number or -1.0
/// - if -1.0, it means there is no solution to a coast-down distance.
/// This can happen due to being too close to the given
/// stop or perhaps due to coasting downhill
/// - if a non-negative-number, the distance in meters that the vehicle
/// would freely coast if unobstructed. Accounts for grade between
/// the current point and end-point
fn calc_distance_to_stop_coast_v2(&self, i: usize) -> f64 {
let not_found = -1.0;
let v0 = self.cyc.mps[i - 1];
let v_brake = self.sim_params.coast_brake_start_speed_m_per_s;
let a_brake = self.sim_params.coast_brake_accel_m_per_s2;
let ds = &self.cyc0_cache.trapz_distances_m;
let gs = &self.cyc0.grade;
assert!(
ds.len() == gs.len(),
"Assumed length of ds and gs the same but actually ds.len():{} and gs.len():{}",
ds.len(),
gs.len()
);
let d0 = trapz_step_start_distance(&self.cyc, i);
let mut grade_by_distance: Vec<f64> = Vec::with_capacity(ds.len());
for idx in 0..ds.len() {
if ds[idx] >= d0 {
grade_by_distance.push(gs[idx]);
}
}
let grade_by_distance = Array::from_vec(grade_by_distance);
let veh_mass_kg = self.veh.veh_kg;
let air_density_kg_per_m3 = self.props.air_density_kg_per_m3;
let cdfa_m2 = self.veh.drag_coef * self.veh.frontal_area_m2;
let rrc = self.veh.wheel_rr_coef;
let gravity_m_per_s2 = self.props.a_grav_mps2;
// distance traveled while stopping via friction-braking (i.e., distance to brake)
let dtb = -0.5 * v_brake * v_brake / a_brake;
if v0 <= v_brake {
return -0.5 * v0 * v0 / a_brake;
}
let unique_grades = ndarrunique(&grade_by_distance);
if unique_grades.len() == 1 {
// if there is only one grade, there may be a closed-form solution
let unique_grade = unique_grades[0];
let theta = unique_grade.atan();
let c1 = gravity_m_per_s2 * (theta.sin() + rrc * theta.cos());
let c2 = (air_density_kg_per_m3 * cdfa_m2) / (2.0 * veh_mass_kg);
let v02 = v0 * v0;
let vb2 = v_brake * v_brake;
let mut d = not_found;
let a1 = c1 + c2 * v02;
let b1 = c1 + c2 * vb2;
if c2 == 0.0 {
if c1 > 0.0 {
d = (1.0 / (2.0 * c1)) * (v02 - vb2);
}
} else if a1 > 0.0 && b1 > 0.0 {
d = (1.0 / (2.0 * c2)) * (a1.ln() - b1.ln());
}
if d != not_found {
return d + dtb;
}
}
let ct = self.generate_coast_trajectory(i);
if ct.found_trajectory {
ct.distance_to_stop_via_coast_m
} else {
not_found
}
}
/// - i: non-negative integer, the current position in cyc
/// RETURN: Bool if vehicle should initiate coasting
/// Coast logic is that the vehicle should coast if it is within coasting distance of a stop:
/// - if distance to coast from start of step is <= distance to next stop
/// - AND distance to coast from end of step (using prescribed speed) is > distance to next stop
/// - ALSO, vehicle must have been at or above the coast brake start speed at beginning of step
/// - AND, must be at least 4 x distances-to-break away
fn should_impose_coast(&self, i: usize) -> bool {
if self.sim_params.coast_start_speed_m_per_s > 0.0 {
return self.cyc.mps[i] >= self.sim_params.coast_start_speed_m_per_s;
}
let v0 = self.mps_ach[i - 1];
if v0 < self.sim_params.coast_brake_start_speed_m_per_s {
return false;
}
// distance to stop by coasting from start of step (i-1)
let dtsc0 = self.calc_distance_to_stop_coast_v2(i);
if dtsc0 < 0.0 {
return false;
}
// distance to next stop (m)
let d0 = trapz_step_start_distance(&self.cyc, i);
let dts0 = self
.cyc0
.calc_distance_to_next_stop_from(d0, Some(&self.cyc0_cache));
let dtb = -0.5 * v0 * v0 / self.sim_params.coast_brake_accel_m_per_s2;
dtsc0 >= dts0 && dts0 >= (4.0 * dtb)
}
/// Calculate next rendezvous trajectory for eco-coasting
/// - i: non-negative integer, the index into cyc for the end of start-of-step
/// (i.e., the step that may be modified; should be i)
/// - min_accel_m__s2: number, the minimum acceleration permitted (m/s2)
/// - max_accel_m__s2: number, the maximum acceleration permitted (m/s2)
/// RETURN: (Tuple
/// found_rendezvous: Bool, if True the remainder of the data is valid; if False, no rendezvous found
/// n: positive integer, the number of steps ahead to rendezvous at
/// jerk_m__s3: number, the Jerk or first-derivative of acceleration (m/s3)
/// accel_m__s2: number, the initial acceleration of the trajectory (m/s2)
/// )
/// If no rendezvous exists within the scope, the returned tuple has False for the first item.
/// Otherwise, returns the next closest rendezvous in time/space
fn calc_next_rendezvous_trajectory(
&self,
i: usize,
min_accel_m_per_s2: f64,
max_accel_m_per_s2: f64,
) -> anyhow::Result<(bool, usize, f64, f64)> {
let tol = 1e-6;
// v0 is where n=0, i.e., idx-1
let v0 = self.cyc.mps[i - 1];
let brake_start_speed_m_per_s = self.sim_params.coast_brake_start_speed_m_per_s;
let brake_accel_m_per_s2 = self.sim_params.coast_brake_accel_m_per_s2;
let time_horizon_s = max(self.sim_params.coast_time_horizon_for_adjustment_s, 1.0);
// distance_horizon_m = 1000.0
let not_found_n: usize = 0;
let not_found_jerk_m_per_s3: f64 = 0.0;
let not_found_accel_m_per_s2: f64 = 0.0;
let not_found: (bool, usize, f64, f64) = (
false,
not_found_n,
not_found_jerk_m_per_s3,
not_found_accel_m_per_s2,
);
if v0 < (brake_start_speed_m_per_s + tol) {
// don't process braking
return Ok(not_found);
}
let (min_accel_m_per_s2, max_accel_m_per_s2) = if min_accel_m_per_s2 > max_accel_m_per_s2 {
(max_accel_m_per_s2, min_accel_m_per_s2)
} else {
(min_accel_m_per_s2, max_accel_m_per_s2)
};
let num_samples = self.cyc.mps.len();
let d0 = trapz_step_start_distance(&self.cyc, i);
// a_proposed = (v1 - v0) / dt
// distance to stop from start of time-step
let dts0 = self
.cyc0
.calc_distance_to_next_stop_from(d0, Some(&self.cyc0_cache));
if dts0 < 0.0 {
// no stop to coast towards or we're there...
return Ok(not_found);
}
let dt = self.cyc.dt_s_at_i(i);
// distance to brake from the brake start speed (m/s)
let dtb =
-0.5 * brake_start_speed_m_per_s * brake_start_speed_m_per_s / brake_accel_m_per_s2;
// distance to brake initiation from start of time-step (m)
let dtbi0 = dts0 - dtb;
if dtbi0 < 0.0 {
return Ok(not_found);
}
// Now, check rendezvous trajectories
let mut step_idx = i;
let mut dt_plan = 0.0;
let mut r_best_found = false;
let mut r_best_n = 0;
let mut r_best_jerk_m_per_s3 = 0.0;
let mut r_best_accel_m_per_s2 = 0.0;
let mut r_best_accel_spread_m_per_s2 = 0.0;
while dt_plan <= time_horizon_s && step_idx < num_samples {
dt_plan += self.cyc0.dt_s_at_i(step_idx);
let step_ahead = step_idx - (i - 1);
if step_ahead == 1 {
// for brake init rendezvous
let accel = (brake_start_speed_m_per_s - v0) / dt;
let v1 = max(0.0, v0 + accel * dt);
let dd_proposed = ((v0 + v1) / 2.0) * dt;
if (v1 - brake_start_speed_m_per_s).abs() < tol && (dtbi0 - dd_proposed).abs() < tol
{
r_best_found = true;
r_best_n = 1;
r_best_jerk_m_per_s3 = 0.0;
r_best_accel_m_per_s2 = accel;
break;
}
} else {
// rendezvous trajectory for brake-start -- assumes fixed time-steps
if dtbi0 > 0.0 {
let (r_bi_jerk_m_per_s3, r_bi_accel_m_per_s2) = calc_constant_jerk_trajectory(
step_ahead,
0.0,
v0,
dtbi0,
brake_start_speed_m_per_s,
dt,
)?;
if r_bi_accel_m_per_s2 < max_accel_m_per_s2
&& r_bi_accel_m_per_s2 > min_accel_m_per_s2
&& r_bi_jerk_m_per_s3 >= 0.0
{
let as_bi = accel_array_for_constant_jerk(
step_ahead,
r_bi_accel_m_per_s2,
r_bi_jerk_m_per_s3,
dt,
);
let as_bi_min: f64 =
as_bi.to_vec().into_iter().reduce(f64::min).unwrap_or(0.0);
let as_bi_max: f64 =
as_bi.to_vec().into_iter().reduce(f64::max).unwrap_or(0.0);
let accel_spread = (as_bi_max - as_bi_min).abs();
let flag = (as_bi_max < (max_accel_m_per_s2 + 1e-6)
&& as_bi_min > (min_accel_m_per_s2 - 1e-6))
&& (!r_best_found || (accel_spread < r_best_accel_spread_m_per_s2));
if flag {
r_best_found = true;
r_best_n = step_ahead;
r_best_accel_m_per_s2 = r_bi_accel_m_per_s2;
r_best_jerk_m_per_s3 = r_bi_jerk_m_per_s3;
r_best_accel_spread_m_per_s2 = accel_spread;
}
}
}
}
step_idx += 1;
}
if r_best_found {
return Ok((
r_best_found,
r_best_n,
r_best_jerk_m_per_s3,
r_best_accel_m_per_s2,
));
}
Ok(not_found)
}
/// Coast Delay allows us to represent coasting to a stop when the lead
/// vehicle has already moved on from that stop. In this case, the coasting
/// vehicle need not dwell at this or any stop while it is lagging behind
/// the lead vehicle in distance. Instead, the vehicle comes to a stop and
/// resumes mimicing the lead-vehicle trace at the first time-step the
/// lead-vehicle moves past the stop-distance. This index is the "coast delay index".
///
/// Arguments
/// ---------
/// - i: integer, the step index
/// NOTE: Resets the coast_delay_index to 0 and calculates and sets the next
/// appropriate coast_delay_index if appropriate
fn set_coast_delay(&mut self, i: usize) {
let speed_tol = 0.01; // m/s
let dist_tol = 0.1; // meters
for idx in i..self.cyc.len() {
self.coast_delay_index[idx] = 0; // clear all future coast-delays
}
let mut coast_delay: Option<i32> = None;
if !self.sim_params.idm_allow && self.cyc.mps[i] < speed_tol {
let d0 = trapz_step_start_distance(&self.cyc, i);
let d0_lv = self.cyc0_cache.trapz_distances_m[i - 1];
let dtlv0 = d0_lv - d0;
if dtlv0.abs() > dist_tol {
let mut d_lv = 0.0;
let mut min_dtlv: Option<f64> = None;
for (idx, (&dd, &v)) in trapz_step_distances(&self.cyc0)
.iter()
.zip(self.cyc0.mps.iter())
.enumerate()
{
d_lv += dd;
let dtlv = (d_lv - d0).abs();
if v < speed_tol && (min_dtlv.is_none() || dtlv <= min_dtlv.unwrap()) {
if min_dtlv.is_none()
|| dtlv < min_dtlv.unwrap()
|| (d0 < d0_lv && min_dtlv.unwrap() == dtlv)
{
let i_i32 = i32::try_from(i).unwrap();
let idx_i32 = i32::try_from(idx).unwrap();
coast_delay = Some(i_i32 - idx_i32);
}
min_dtlv = Some(dtlv);
}
if min_dtlv.is_some() && dtlv > min_dtlv.unwrap() {
break;
}
}
}
}
if let Some(cd) = coast_delay {
if cd < 0 {
let mut new_cd = cd;
for idx in i..self.cyc0.mps.len() {
self.coast_delay_index[idx] = new_cd;
new_cd += 1;
if new_cd == 0 {
break;
}
}
} else {
for idx in i..self.cyc0.mps.len() {
self.coast_delay_index[idx] = cd;
}
}
}
}
/// Prevent collision between the vehicle in cyc and the one in cyc0.
/// If a collision will take place, reworks the cyc such that a rendezvous occurs instead.
/// Arguments
/// - i: int, index for consideration
/// - passing_tol_m: None | float, tolerance for how far we have to go past the lead vehicle to be considered "passing"
/// RETURN: Bool, True if cyc was modified
fn prevent_collisions(&mut self, i: usize, passing_tol_m: Option<f64>) -> anyhow::Result<bool> {
let passing_tol_m = passing_tol_m.unwrap_or(1.0);
let collision: PassingInfo = detect_passing(&self.cyc, &self.cyc0, i, Some(passing_tol_m));
if !collision.has_collision {
return Ok(false);
}
let mut best: RendezvousTrajectory = RendezvousTrajectory {
found_trajectory: false,
idx: 0,
n: 0,
full_brake_steps: 0,
jerk_m_per_s3: 0.0,
accel0_m_per_s2: 0.0,
accel_spread: 0.0,
};
let a_brake_m_per_s2 = self.sim_params.coast_brake_accel_m_per_s2;
assert!(
a_brake_m_per_s2 < 0.0,
"brake acceleration must be negative; got {} m/s2",
a_brake_m_per_s2
);
for full_brake_steps in 0..4 {
for di in 0..(self.mps_ach.len() - i) {
let idx = i + di;
if !self.impose_coast[idx] {
if idx == i {
break;
} else {
continue;
}
}
let n = collision.idx - idx + 1 - full_brake_steps;
if n < 2 {
break;
}
if (idx - 1 + full_brake_steps) >= self.cyc.len() {
break;
}
let dt = collision.time_step_duration_s;
let v_start_m_per_s = self.cyc.mps[idx - 1];
let dt_full_brake =
self.cyc.time_s[idx - 1 + full_brake_steps] - self.cyc.time_s[idx - 1];
let dv_full_brake = dt_full_brake * a_brake_m_per_s2;
let v_start_jerk_m_per_s = max(v_start_m_per_s + dv_full_brake, 0.0);
let dd_full_brake = 0.5 * (v_start_m_per_s + v_start_jerk_m_per_s) * dt_full_brake;
let d_start_m = trapz_step_start_distance(&self.cyc, idx) + dd_full_brake;
if collision.distance_m <= d_start_m {
continue;
}
let (jerk_m_per_s3, accel0_m_per_s2) = calc_constant_jerk_trajectory(
n,
d_start_m,
v_start_jerk_m_per_s,
collision.distance_m,
collision.speed_m_per_s,
dt,
)?;
let mut accels_m_per_s2: Vec<f64> = vec![];
let mut trace_accels_m_per_s2: Vec<f64> = vec![];
for ni in 0..n {
if (ni + idx + full_brake_steps) >= self.cyc.len() {
break;
}
accels_m_per_s2.push(accel_for_constant_jerk(
ni,
accel0_m_per_s2,
jerk_m_per_s3,
dt,
));
trace_accels_m_per_s2.push(
(self.cyc.mps[ni + idx + full_brake_steps]
- self.cyc.mps[ni + idx - 1 + full_brake_steps])
/ self.cyc.dt_s()[ni + idx + full_brake_steps],
);
}
let all_sub_coast: bool = trace_accels_m_per_s2
.iter()
.copied()
.zip(accels_m_per_s2.iter().copied())
.fold(
true,
|all_sc_flag: bool, (trace_accel, accel): (f64, f64)| {
if !all_sc_flag {
return all_sc_flag;
}
trace_accel >= accel
},
);
let accels_ndarr = Array1::from(accels_m_per_s2.clone());
let min_accel_m_per_s2 = accels_ndarr.min()?;
let max_accel_m_per_s2 = accels_ndarr.max()?;
let accept = all_sub_coast;
let accel_spread = (max_accel_m_per_s2 - min_accel_m_per_s2).abs();
if accept && (!best.found_trajectory || accel_spread < best.accel_spread) {
best = RendezvousTrajectory {
found_trajectory: true,
idx,
n,
full_brake_steps,
jerk_m_per_s3,
accel0_m_per_s2,
accel_spread,
};
}
}
if best.found_trajectory {
break;
}
}
if !best.found_trajectory {
let new_passing_tol_m = if passing_tol_m < 10.0 {
10.0
} else {
passing_tol_m + 5.0
};
if new_passing_tol_m > 60.0 {
return Ok(false);
}
return self.prevent_collisions(i, Some(new_passing_tol_m));
}
for fbs in 0..best.full_brake_steps {
if (best.idx + fbs) >= self.cyc.len() {
break;
}
let dt = self.cyc.time_s[best.idx + fbs] - self.cyc.time_s[best.idx - 1];
let dv = a_brake_m_per_s2 * dt;
let v_start = self.cyc.mps[best.idx - 1];
self.cyc.mps[best.idx + fbs] = max(v_start + dv, 0.0);
self.impose_coast[best.idx + fbs] = true;
self.coast_delay_index[best.idx + fbs] = 0;
}
self.cyc.modify_by_const_jerk_trajectory(
best.idx + best.full_brake_steps,
best.n,
best.jerk_m_per_s3,
best.accel0_m_per_s2,
);
for idx in (best.idx + best.n)..self.cyc0.mps.len() {
self.impose_coast[idx] = false;
self.coast_delay_index[idx] = 0;
}
Ok(true)
}
/// Placeholder for method to impose coasting.
/// Might be good to include logic for deciding when to coast.
/// Solve for the next-step speed that will yield a zero roadload
pub fn set_coast_speed(&mut self, i: usize) -> anyhow::Result<()> {
let tol = 1e-6;
let v0 = self.mps_ach[i - 1];
if v0 > tol && !self.impose_coast[i] && self.should_impose_coast(i) {
let ct = self.generate_coast_trajectory(i);
if ct.found_trajectory {
let d = ct.distance_to_stop_via_coast_m;
if d < 0.0 {
for idx in i..self.cyc0.mps.len() {
self.impose_coast[idx] = false;
}
} else {
self.apply_coast_trajectory(ct)?;
}
if !self.sim_params.coast_allow_passing {
self.prevent_collisions(i, None)?;
}
}
}
if !self.impose_coast[i] {
if !self.sim_params.idm_allow {
let i_i32 = i32::try_from(i).ok();
let target_idx = match i_i32 {
Some(v) => Some(v - self.coast_delay_index[i]),
None => None,
};
let target_idx = match target_idx {
Some(ti) => {
if ti < 0 {
Some(0)
} else {
usize::try_from(ti).ok()
}
}
None => None,
};
if let Some(ti) = target_idx {
self.cyc.mps[i] = self.cyc0.mps[cmp::min(ti, self.cyc0.mps.len() - 1)];
}
}
return Ok(());
}
let v1_traj = self.cyc.mps[i];
if v0 > self.sim_params.coast_brake_start_speed_m_per_s {
if self.sim_params.coast_allow_passing {
// we could be coasting downhill so could in theory go to a higher speed
// since we can pass, allow vehicle to go up to max coasting speed (m/s)
// the solver will show us what we can actually achieve
self.cyc.mps[i] = self.sim_params.coast_max_speed_m_per_s;
} else {
self.cyc.mps[i] = min(v1_traj, self.sim_params.coast_max_speed_m_per_s);
}
}
// Solve for the actual coasting speed
self.solve_step(i)?;
self.newton_iters[i] = 0; // reset newton iters
self.cyc.mps[i] = self.mps_ach[i];
let accel_proposed = (self.cyc.mps[i] - self.cyc.mps[i - 1]) / self.cyc.dt_s_at_i(i);
if self.cyc.mps[i] < tol {
for idx in i..self.cyc0.mps.len() {
self.impose_coast[idx] = false;
}
self.set_coast_delay(i);
self.cyc.mps[i] = 0.0;
return Ok(());
}
if (self.cyc.mps[i] - v1_traj).abs() > tol {
let mut adjusted_current_speed = false;
let brake_speed_start_tol_m_per_s = 0.1;
if self.cyc.mps[i]
< (self.sim_params.coast_brake_start_speed_m_per_s - brake_speed_start_tol_m_per_s)
{
let (_, num_steps) = self.cyc.modify_with_braking_trajectory(
self.sim_params.coast_brake_accel_m_per_s2,
i,
None,
)?;
for idx in i..self.cyc.len() {
self.impose_coast[idx] = idx < (i + num_steps);
}
adjusted_current_speed = true;
} else {
let (traj_found, traj_n, traj_jerk_m_per_s3, traj_accel_m_per_s2) = self
.calc_next_rendezvous_trajectory(
i,
self.sim_params.coast_brake_accel_m_per_s2,
min(accel_proposed, 0.0),
)?;
if traj_found {
// adjust cyc to perform the trajectory
let final_speed_m_per_s = self.cyc.modify_by_const_jerk_trajectory(
i,
traj_n,
traj_jerk_m_per_s3,
traj_accel_m_per_s2,
);
for idx in i..self.cyc0.mps.len() {
self.impose_coast[idx] = idx < (i + traj_n);
}
adjusted_current_speed = true;
let i_for_brake = i + traj_n;
if (final_speed_m_per_s - self.sim_params.coast_brake_start_speed_m_per_s).abs()
< 0.1
{
let (_, num_steps) = self.cyc.modify_with_braking_trajectory(
self.sim_params.coast_brake_accel_m_per_s2,
i_for_brake,
None,
)?;
for idx in i_for_brake..self.cyc0.mps.len() {
self.impose_coast[idx] = idx < i_for_brake + num_steps;
}
adjusted_current_speed = true;
} else {
log::warn!(
"final_speed_m_per_s={} not close to coast_brake_start_speed={} for i={}; i_for_brake={}, traj_n={}",
final_speed_m_per_s,
self.sim_params.coast_brake_start_speed_m_per_s,
i,
i_for_brake,
traj_n
);
}
}
}
if adjusted_current_speed {
if !self.sim_params.coast_allow_passing {
self.prevent_collisions(i, None)?;
}
self.solve_step(i)?;
self.newton_iters[i] = 0; // reset newton iters
self.cyc.mps[i] = self.mps_ach[i];
}
}
Ok(())
}
}