bike ETA fine-tuning
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3 changed files with 101 additions and 93 deletions
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@ -9,15 +9,11 @@ package btools.router;
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final class KinematicPath extends OsmPath
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{
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private double ekin; // kinetic energy (Joule)
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private double totalTime; // travel time (seconds)
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private double totalEnergy; // total route energy (Joule)
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private float floatingAngleLeft; // sliding average left bend (degree)
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private float floatingAngleRight; // sliding average right bend (degree)
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KinematicPath() {
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super();
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computeTime = false; // Time is already computed by the kinematic model.
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}
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@Override
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protected void init( OsmPath orig )
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{
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@ -258,18 +254,6 @@ final class KinematicPath extends OsmPath
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if ( ekin > e ) ekin = e;
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}
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private static double exp( double e )
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{
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double x = e;
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double f = 1.;
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while( e < -1. )
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{
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e += 1.;
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f *= 0.367879;
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}
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return f*( 1. + x*( 1. + x * ( 0.5 + x * ( 0.166667 + 0.0416667 * x) ) ) );
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}
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@Override
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public int elevationCorrection( RoutingContext rc )
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@ -286,13 +270,13 @@ final class KinematicPath extends OsmPath
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return cost > c + 100;
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}
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@Override
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public double getTotalTime()
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{
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return totalTime;
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}
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@Override
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public double getTotalEnergy()
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{
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return totalEnergy;
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@ -50,12 +50,6 @@ abstract class OsmPath implements OsmLinkHolder
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protected int priorityclassifier;
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protected boolean computeTime = false;
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protected double totalTime; // travel time (seconds)
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// Gravitational constant, g
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private double GRAVITY = 9.81; // in meters per second^(-2)
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private static final int PATH_START_BIT = 1;
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private static final int CAN_LEAVE_DESTINATION_BIT = 2;
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private static final int IS_ON_DESTINATION_BIT = 4;
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@ -375,6 +369,9 @@ abstract class OsmPath implements OsmLinkHolder
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}
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}
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double elevation = ele2 == Short.MIN_VALUE ? 100. : ele2/4.;
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double sectionCost = processWaySection( rc, dist, delta_h, elevation, angle, cosangle, isStartpoint, nsection, lastpriorityclassifier );
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@ -404,68 +401,6 @@ abstract class OsmPath implements OsmLinkHolder
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wayKeyValues = rc.expctxWay.getKeyValueDescription( isReverse, description );
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}
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// Only do speed computation for detailMode (final) and bike or foot modes.
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if (detailMode && computeTime)
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{
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// Travel speed
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double speed = Double.NaN;
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if (rc.footMode || (rc.bikeMode && wayKeyValues.contains("bicycle=dismount")))
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{
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// Use Tobler's hiking function for walking sections
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speed = 6 * Math.exp(-3.5 * Math.abs(elevation / dist + 0.05)) / 3.6;
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}
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else if (rc.bikeMode)
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{
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// Uphill angle
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double alpha = Math.atan2(delta_h, dist);
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// Compute the speed assuming a basic kinematic model with constant
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// power.
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// Solves a * v^3 + b * v^2 + c * v + d = 0 with a Newton method to get
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// the speed v for the section.
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double a = rc.S_C_x;
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double b = 0.0;
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double c = (rc.bikeMass * GRAVITY * (rc.defaultC_r + Math.sin(alpha)));
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double d = -1. * rc.bikerPower;
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double tolerance = 1e-3;
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int max_count = 10;
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// Initial guess, this works rather well considering the allowed speeds.
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speed = rc.maxSpeed;
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double y = (a * speed * speed * speed) + (b * speed * speed) + (c * speed) + d;
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double y_prime = (3 * a * speed * speed) + (2 * b * speed) + c;
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int i = 0;
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for (i = 0; (Math.abs(y) > tolerance) && (i < max_count); i++) {
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speed = speed - y / y_prime;
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if (speed > rc.maxSpeed || speed <= 0) {
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// No need to compute further, the speed is likely to be
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// invalid or force set to maxspeed.
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speed = rc.maxSpeed;
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break;
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}
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y = (a * speed * speed * speed) + (b * speed * speed) + (c * speed) + d;
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y_prime = (3 * a * speed * speed) + (2 * b * speed) + c;
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}
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if (i == max_count)
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{
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// Newton method did not converge, speed is invalid.
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speed = Double.NaN;
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}
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else
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{
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// Speed cannot exceed max speed
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speed = Math.min(speed, rc.maxSpeed);
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}
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}
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if (!Double.isNaN(speed) && speed > 0)
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{
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totalTime += dist / speed;
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}
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}
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if ( message != null )
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{
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message.turnangle = (float)angle;
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@ -555,6 +490,10 @@ abstract class OsmPath implements OsmLinkHolder
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protected abstract double processTargetNode( RoutingContext rc );
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protected void computeKinematic( RoutingContext rc, double dist, double delta_h, boolean detailMode )
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{
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}
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public abstract int elevationCorrection( RoutingContext rc );
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public abstract boolean definitlyWorseThan( OsmPath p, RoutingContext rc );
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@ -587,11 +526,23 @@ abstract class OsmPath implements OsmLinkHolder
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public double getTotalTime()
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{
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return totalTime;
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return 0.;
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}
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public double getTotalEnergy()
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{
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return 0.;
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}
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protected static double exp( double e )
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{
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double x = e;
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double f = 1.;
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while( e < -1. )
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{
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e += 1.;
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f *= 0.367879;
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}
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return f*( 1. + x*( 1. + x * ( 0.5 + x * ( 0.166667 + 0.0416667 * x) ) ) );
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}
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}
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@ -18,10 +18,12 @@ final class StdPath extends OsmPath
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private int ehbd; // in micrometer
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private int ehbu; // in micrometer
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StdPath() {
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super();
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computeTime = true;
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}
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private float totalTime; // travel time (seconds)
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private float totalEnergy; // total route energy (Joule)
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private float elevation_buffer; // just another elevation buffer (for travel time)
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// Gravitational constant, g
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private static final double GRAVITY = 9.81; // in meters per second^(-2)
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@Override
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public void init( OsmPath orig )
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@ -30,6 +32,8 @@ final class StdPath extends OsmPath
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this.ehbd = origin.ehbd;
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this.ehbu = origin.ehbu;
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this.totalTime = origin.totalTime;
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this.totalEnergy = origin.totalEnergy;
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this.elevation_buffer = origin.elevation_buffer;
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}
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@Override
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@ -37,7 +41,9 @@ final class StdPath extends OsmPath
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{
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ehbd = 0;
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ehbu = 0;
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totalTime = 0.;
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totalTime = 0.f;
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totalEnergy = 0.f;
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elevation_buffer = 0.f;
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}
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@Override
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@ -600,9 +606,76 @@ final class StdPath extends OsmPath
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return cost > c;
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}
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@Override
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protected void computeKinematic( RoutingContext rc, double dist, double delta_h, boolean detailMode )
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{
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if ( !detailMode )
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{
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return;
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}
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// compute incline
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double decayFactor = exp( - dist / 100. );
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elevation_buffer += delta_h;
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float new_elevation_buffer = (float)( elevation_buffer * decayFactor );
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double incline = ( elevation_buffer - new_elevation_buffer ) / dist;
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elevation_buffer = new_elevation_buffer;
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double speed; // Travel speed
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if (rc.footMode )
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{
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// Use Tobler's hiking function for walking sections
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speed = 6 * Math.exp(-3.5 * Math.abs( incline + 0.05)) / 3.6;
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}
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else if (rc.bikeMode)
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{
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speed = solveCubic( rc.S_C_x, rc.bikeMass * GRAVITY * ( rc.defaultC_r + incline ), rc.bikerPower );
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speed = Math.min(speed, rc.maxSpeed);
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}
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else
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{
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return;
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}
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float dt = (float) ( dist / speed );
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totalTime += dt;
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totalEnergy += dt*rc.bikerPower;
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}
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private static double solveCubic( double a, double c, double d )
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{
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// Solves a * v^3 + c * v = d with a Newton method
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// to get the speed v for the section.
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double v = 8.;
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boolean findingStartvalue = true;
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for ( int i = 0; i < 10; i++ )
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{
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double y = ( a * v * v + c ) * v - d;
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if ( y < .1 )
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{
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if ( findingStartvalue )
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{
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v *= 2.;
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continue;
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}
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break;
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}
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findingStartvalue = false;
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double y_prime = 3 * a * v * v + c;
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v -= y / y_prime;
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}
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return v;
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}
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@Override
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public double getTotalTime()
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{
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return totalTime;
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}
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@Override
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public double getTotalEnergy()
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{
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return totalEnergy;
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}
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}
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