bike ETA fine-tuning

This commit is contained in:
Arndt Brenschede 2018-11-23 00:44:24 +01:00
parent c57eaf9eff
commit 6e6c4a18b2
3 changed files with 101 additions and 93 deletions

View file

@ -9,15 +9,11 @@ package btools.router;
final class KinematicPath extends OsmPath
{
private double ekin; // kinetic energy (Joule)
private double totalTime; // travel time (seconds)
private double totalEnergy; // total route energy (Joule)
private float floatingAngleLeft; // sliding average left bend (degree)
private float floatingAngleRight; // sliding average right bend (degree)
KinematicPath() {
super();
computeTime = false; // Time is already computed by the kinematic model.
}
@Override
protected void init( OsmPath orig )
{
@ -258,18 +254,6 @@ final class KinematicPath extends OsmPath
if ( ekin > e ) ekin = e;
}
private static double exp( double e )
{
double x = e;
double f = 1.;
while( e < -1. )
{
e += 1.;
f *= 0.367879;
}
return f*( 1. + x*( 1. + x * ( 0.5 + x * ( 0.166667 + 0.0416667 * x) ) ) );
}
@Override
public int elevationCorrection( RoutingContext rc )
@ -286,13 +270,13 @@ final class KinematicPath extends OsmPath
return cost > c + 100;
}
@Override
public double getTotalTime()
{
return totalTime;
}
@Override
public double getTotalEnergy()
{
return totalEnergy;

View file

@ -50,12 +50,6 @@ abstract class OsmPath implements OsmLinkHolder
protected int priorityclassifier;
protected boolean computeTime = false;
protected double totalTime; // travel time (seconds)
// Gravitational constant, g
private double GRAVITY = 9.81; // in meters per second^(-2)
private static final int PATH_START_BIT = 1;
private static final int CAN_LEAVE_DESTINATION_BIT = 2;
private static final int IS_ON_DESTINATION_BIT = 4;
@ -375,6 +369,9 @@ abstract class OsmPath implements OsmLinkHolder
}
}
double elevation = ele2 == Short.MIN_VALUE ? 100. : ele2/4.;
double sectionCost = processWaySection( rc, dist, delta_h, elevation, angle, cosangle, isStartpoint, nsection, lastpriorityclassifier );
@ -404,68 +401,6 @@ abstract class OsmPath implements OsmLinkHolder
wayKeyValues = rc.expctxWay.getKeyValueDescription( isReverse, description );
}
// Only do speed computation for detailMode (final) and bike or foot modes.
if (detailMode && computeTime)
{
// Travel speed
double speed = Double.NaN;
if (rc.footMode || (rc.bikeMode && wayKeyValues.contains("bicycle=dismount")))
{
// Use Tobler's hiking function for walking sections
speed = 6 * Math.exp(-3.5 * Math.abs(elevation / dist + 0.05)) / 3.6;
}
else if (rc.bikeMode)
{
// Uphill angle
double alpha = Math.atan2(delta_h, dist);
// Compute the speed assuming a basic kinematic model with constant
// power.
// Solves a * v^3 + b * v^2 + c * v + d = 0 with a Newton method to get
// the speed v for the section.
double a = rc.S_C_x;
double b = 0.0;
double c = (rc.bikeMass * GRAVITY * (rc.defaultC_r + Math.sin(alpha)));
double d = -1. * rc.bikerPower;
double tolerance = 1e-3;
int max_count = 10;
// Initial guess, this works rather well considering the allowed speeds.
speed = rc.maxSpeed;
double y = (a * speed * speed * speed) + (b * speed * speed) + (c * speed) + d;
double y_prime = (3 * a * speed * speed) + (2 * b * speed) + c;
int i = 0;
for (i = 0; (Math.abs(y) > tolerance) && (i < max_count); i++) {
speed = speed - y / y_prime;
if (speed > rc.maxSpeed || speed <= 0) {
// No need to compute further, the speed is likely to be
// invalid or force set to maxspeed.
speed = rc.maxSpeed;
break;
}
y = (a * speed * speed * speed) + (b * speed * speed) + (c * speed) + d;
y_prime = (3 * a * speed * speed) + (2 * b * speed) + c;
}
if (i == max_count)
{
// Newton method did not converge, speed is invalid.
speed = Double.NaN;
}
else
{
// Speed cannot exceed max speed
speed = Math.min(speed, rc.maxSpeed);
}
}
if (!Double.isNaN(speed) && speed > 0)
{
totalTime += dist / speed;
}
}
if ( message != null )
{
message.turnangle = (float)angle;
@ -555,6 +490,10 @@ abstract class OsmPath implements OsmLinkHolder
protected abstract double processTargetNode( RoutingContext rc );
protected void computeKinematic( RoutingContext rc, double dist, double delta_h, boolean detailMode )
{
}
public abstract int elevationCorrection( RoutingContext rc );
public abstract boolean definitlyWorseThan( OsmPath p, RoutingContext rc );
@ -587,11 +526,23 @@ abstract class OsmPath implements OsmLinkHolder
public double getTotalTime()
{
return totalTime;
return 0.;
}
public double getTotalEnergy()
{
return 0.;
}
protected static double exp( double e )
{
double x = e;
double f = 1.;
while( e < -1. )
{
e += 1.;
f *= 0.367879;
}
return f*( 1. + x*( 1. + x * ( 0.5 + x * ( 0.166667 + 0.0416667 * x) ) ) );
}
}

View file

@ -18,10 +18,12 @@ final class StdPath extends OsmPath
private int ehbd; // in micrometer
private int ehbu; // in micrometer
StdPath() {
super();
computeTime = true;
}
private float totalTime; // travel time (seconds)
private float totalEnergy; // total route energy (Joule)
private float elevation_buffer; // just another elevation buffer (for travel time)
// Gravitational constant, g
private static final double GRAVITY = 9.81; // in meters per second^(-2)
@Override
public void init( OsmPath orig )
@ -30,6 +32,8 @@ final class StdPath extends OsmPath
this.ehbd = origin.ehbd;
this.ehbu = origin.ehbu;
this.totalTime = origin.totalTime;
this.totalEnergy = origin.totalEnergy;
this.elevation_buffer = origin.elevation_buffer;
}
@Override
@ -37,7 +41,9 @@ final class StdPath extends OsmPath
{
ehbd = 0;
ehbu = 0;
totalTime = 0.;
totalTime = 0.f;
totalEnergy = 0.f;
elevation_buffer = 0.f;
}
@Override
@ -600,9 +606,76 @@ final class StdPath extends OsmPath
return cost > c;
}
@Override
protected void computeKinematic( RoutingContext rc, double dist, double delta_h, boolean detailMode )
{
if ( !detailMode )
{
return;
}
// compute incline
double decayFactor = exp( - dist / 100. );
elevation_buffer += delta_h;
float new_elevation_buffer = (float)( elevation_buffer * decayFactor );
double incline = ( elevation_buffer - new_elevation_buffer ) / dist;
elevation_buffer = new_elevation_buffer;
double speed; // Travel speed
if (rc.footMode )
{
// Use Tobler's hiking function for walking sections
speed = 6 * Math.exp(-3.5 * Math.abs( incline + 0.05)) / 3.6;
}
else if (rc.bikeMode)
{
speed = solveCubic( rc.S_C_x, rc.bikeMass * GRAVITY * ( rc.defaultC_r + incline ), rc.bikerPower );
speed = Math.min(speed, rc.maxSpeed);
}
else
{
return;
}
float dt = (float) ( dist / speed );
totalTime += dt;
totalEnergy += dt*rc.bikerPower;
}
private static double solveCubic( double a, double c, double d )
{
// Solves a * v^3 + c * v = d with a Newton method
// to get the speed v for the section.
double v = 8.;
boolean findingStartvalue = true;
for ( int i = 0; i < 10; i++ )
{
double y = ( a * v * v + c ) * v - d;
if ( y < .1 )
{
if ( findingStartvalue )
{
v *= 2.;
continue;
}
break;
}
findingStartvalue = false;
double y_prime = 3 * a * v * v + c;
v -= y / y_prime;
}
return v;
}
@Override
public double getTotalTime()
{
return totalTime;
}
@Override
public double getTotalEnergy()
{
return totalEnergy;
}
}