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Adjust realistic braking physics

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Realistic acceleration uses 4 x the mass for acceleration as braking
Use 4 x mass for realistic braking as well to match
Increase per train length braking force
Add a power-based per train length braking force
This commit is contained in:
Jonathan G Rennison
2021-04-11 23:39:54 +01:00
parent 49d7afe7ae
commit 5d5100449e
3 changed files with 24 additions and 14 deletions
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25
src/train_cmd.cpp
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@@ -797,24 +797,24 @@ static int GetRealisticBrakingSpeedForDistance(const TrainDecelerationStats &sta
/* calculate speed at which braking would be sufficient */
uint weight = stats.t->gcache.cached_weight;
int64 power_w = stats.t->gcache.cached_power * 746ll;
int64 min_braking_force = (stats.t->gcache.cached_total_length * 300) + stats.t->gcache.cached_axle_resistance + (weight * 16);
int64 power_w = (stats.t->gcache.cached_power * 746ll) + (stats.t->gcache.cached_total_length * (int64)RBC_BRAKE_POWER_PER_LENGTH);
int64 min_braking_force = (stats.t->gcache.cached_total_length * (int64)RBC_BRAKE_FORCE_PER_LENGTH) + stats.t->gcache.cached_axle_resistance + (weight * 16);
/* F = (7/8) * (F_min + ((power_w * 18) / (5 * v)))
* v^2 = sloped_ke + F * s / m
* let k = sloped_ke + ((7 * F_min * s) / (8 * m))
* v^3 - k * v - (7 * 18 * power_w * s) / (5 * 8 * m) = 0
* v^2 = sloped_ke + F * s / (4 * m)
* let k = sloped_ke + ((7 * F_min * s) / (8 * 4 * m))
* v^3 - k * v - (7 * 18 * power_w * s) / (5 * 8 * 4 * m) = 0
* v^3 + p * v + q = 0
* where: p = -k
* q = -(7 * 18 * power_w * s) / (5 * 8 * m)
* q = -(7 * 18 * power_w * s) / (5 * 8 * 4 * m)
*
* v = cbrt(-q / 2 + sqrt((q^2 / 4) - (k^3 / 27))) + cbrt(-q / 2 - sqrt((q^2 / 4) - (k^3 / 27)))
* let r = - q / 2 = (7 * 9 * power_w * s) / (5 * 8 * m)
* let r = - q / 2 = (7 * 9 * power_w * s) / (5 * 8 * 4 * m)
* let l = k / 3
* v = cbrt(r + sqrt(r^2 - l^3)) + cbrt(r - sqrt(r^2 - l^3))
*/
int64 l = (sloped_ke + ((7 * min_braking_force * (int64)distance) / (8 * weight))) / 3;
int64 r = (7 * 9 * power_w * (int64)distance) / (40 * weight);
int64 r = (7 * 9 * power_w * (int64)distance) / (160 * weight);
int64 sqrt_factor = (r * r) - (l * l * l);
if (sqrt_factor >= 0) {
int64 part = IntSqrt64(sqrt_factor);
@@ -1083,7 +1083,7 @@ void Train::UpdateAcceleration()
int acceleration_type = this->GetAccelerationType();
bool maglev = (acceleration_type == 2);
int64 power_w = power * 746ll;
int64 min_braking_force = this->gcache.cached_total_length * 300;
int64 min_braking_force = this->gcache.cached_total_length * (int64)RBC_BRAKE_FORCE_PER_LENGTH;
if (!maglev) {
/* From GroundVehicle::GetAcceleration()
* force = power * 18 / (speed * 5);
@@ -1102,12 +1102,13 @@ void Train::UpdateAcceleration()
*/
int evaluation_speed = this->vcache.cached_max_speed;
int area = 14;
int64 power_b = power_w + ((int64)this->gcache.cached_total_length * RBC_BRAKE_POWER_PER_LENGTH);
if (this->gcache.cached_air_drag > 0) {
uint64 v_3 = 1800 * (uint64)power_w / (area * this->gcache.cached_air_drag);
uint64 v_3 = 1800 * (uint64)power_b / (area * this->gcache.cached_air_drag);
evaluation_speed = std::min<int>(evaluation_speed, IntCbrt(v_3));
}
if (evaluation_speed > 0) {
min_braking_force += power_w * 18 / (evaluation_speed * 5);
min_braking_force += power_b * 18 / (evaluation_speed * 5);
min_braking_force += (area * this->gcache.cached_air_drag * evaluation_speed * evaluation_speed) / 1000;
}
@@ -1122,7 +1123,7 @@ void Train::UpdateAcceleration()
min_braking_force += power_w / 25;
}
min_braking_force -= (min_braking_force >> 3); // Slightly underestimate braking for defensive driving purposes
this->tcache.cached_uncapped_decel = Clamp(min_braking_force / weight, 1, UINT16_MAX);
this->tcache.cached_uncapped_decel = Clamp(min_braking_force / (weight * 4), 1, UINT16_MAX);
this->tcache.cached_deceleration = Clamp(this->tcache.cached_uncapped_decel, 1, GetTrainRealisticBrakingTargetDecelerationLimit(acceleration_type));
break;
}