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| 1 | +package com.github.mittyrobotics.pathfollowing; |
| 2 | + |
| 3 | +import java.util.ArrayList; |
| 4 | + |
| 5 | +public class Path { |
| 6 | + /** |
| 7 | + * Associated parametric and motion profile parameters |
| 8 | + */ |
| 9 | + protected Parametric parametric; |
| 10 | + protected double maxAcceleration, maxVelocity, startVelocity, endVelocity, maxDeceleration, maxAngularVelocity; |
| 11 | + |
| 12 | + /** |
| 13 | + * Conversion constants |
| 14 | + */ |
| 15 | + public static final double TO_METERS = 0.0254; |
| 16 | + public static final double TO_INCHES = 39.3700787401; |
| 17 | + |
| 18 | + /** |
| 19 | + * Various helper variables |
| 20 | + */ |
| 21 | + protected double prevVelocity, distanceTraveled, closestPointT, distanceToEnd, maxVelocityToEnd, velocity, purePursuitRadius; |
| 22 | + protected boolean turnRight; |
| 23 | + protected ArrayList<Vector2D> previewVelocities = new ArrayList<>(); |
| 24 | + |
| 25 | + /** |
| 26 | + * Create a new path with motion profile |
| 27 | + * @param parametric parametric associated with path |
| 28 | + * @param maxAcceleration max acceleration of motion profile |
| 29 | + * @param maxDeceleration max deceleration of motion profile |
| 30 | + * @param maxVelocity max velocity of motion profile |
| 31 | + * @param maxAngularVelocity max angular velocity of motion profile |
| 32 | + * @param startVelocity starting velocity of motion profile |
| 33 | + * @param endVelocity desired ending of motion profile |
| 34 | + */ |
| 35 | + public Path(Parametric parametric, double maxAcceleration, double maxDeceleration, double maxVelocity, double maxAngularVelocity, double startVelocity, double endVelocity) { |
| 36 | + this.parametric = parametric; |
| 37 | + this.maxAcceleration = maxAcceleration; |
| 38 | + this.maxDeceleration = maxDeceleration; |
| 39 | + this.maxVelocity = maxVelocity; |
| 40 | + this.maxAngularVelocity = maxAngularVelocity; |
| 41 | + this.endVelocity = endVelocity; |
| 42 | + |
| 43 | + this.startVelocity = startVelocity; |
| 44 | + this.prevVelocity = startVelocity; |
| 45 | + |
| 46 | + distanceToEnd = parametric.getLength(); |
| 47 | + } |
| 48 | + |
| 49 | + /** |
| 50 | + * Create a new path with motion profile, max angular velocity is infinity, max deceleration is equal to max acceleration |
| 51 | + * @param parametric parametric associated with path |
| 52 | + * @param maxAcceleration max acceleration of motion profile |
| 53 | + * @param maxVelocity max velocity of motion profile |
| 54 | + * @param startVelocity starting velocity of motion profile |
| 55 | + * @param endVelocity desired ending of motion profile |
| 56 | + */ |
| 57 | + public Path(Parametric parametric, double maxAcceleration, double maxVelocity, double startVelocity, double endVelocity) { |
| 58 | + this(parametric, maxAcceleration, maxAcceleration, maxVelocity, Double.POSITIVE_INFINITY, startVelocity, endVelocity); |
| 59 | + } |
| 60 | + |
| 61 | + /** |
| 62 | + * Create a new path with motion profile, max angular velocity is infinity, max deceleration is equal to max acceleration, starting and ending velocities are 0 |
| 63 | + * @param parametric parametric associated with path |
| 64 | + * @param maxAcceleration max acceleration of motion profile |
| 65 | + * @param maxVelocity max velocity of motion profile |
| 66 | + */ |
| 67 | + public Path(Parametric parametric, double maxAcceleration, double maxVelocity) { |
| 68 | + this(parametric, maxAcceleration, maxVelocity, 0, 0); |
| 69 | + } |
| 70 | + |
| 71 | + /** |
| 72 | + * Clear previewed velocities that have passed |
| 73 | + */ |
| 74 | + public void clearOldPreviewed() { |
| 75 | + previewVelocities.removeIf(previewVelocity -> previewVelocity.getY() <= distanceTraveled); |
| 76 | + } |
| 77 | + |
| 78 | + /** |
| 79 | + * Returns the maximum possible velocity from velocity previews |
| 80 | + * @return the maximum possible velocity from velocity previews |
| 81 | + */ |
| 82 | + public double getMaxVelocityFromPreviews() { |
| 83 | + double min = Double.POSITIVE_INFINITY; |
| 84 | + |
| 85 | + for(Vector2D vel : previewVelocities) { |
| 86 | + //get max possible current velocity given future velocity and distance from future velocity |
| 87 | + min = Math.min(min, maxVelocityFromDistance(vel.y-distanceTraveled, vel.x, maxDeceleration)); |
| 88 | + } |
| 89 | + |
| 90 | + return min; |
| 91 | + } |
| 92 | + |
| 93 | + /** |
| 94 | + * Returns maximum current velocity given curvature |
| 95 | + * @param t current t parameter |
| 96 | + * @return maximum current velocity given curvature |
| 97 | + */ |
| 98 | + public double maxVelocityFromT(double t) { |
| 99 | + return maxVelocityFromRadius(1/(getCurvature(t))); |
| 100 | + } |
| 101 | + |
| 102 | + /** |
| 103 | + * Return the distance needed to get from current velocity to end velocity |
| 104 | + * @param curVelocity current velocity |
| 105 | + * @param endVelocity desired end velocity |
| 106 | + * @param maxDeceleration maximum deceleration of the motion profile |
| 107 | + * @return the distance needed to get from current velocity to end velocity |
| 108 | + */ |
| 109 | + public double distanceToSlowdown(double curVelocity, double endVelocity, double maxDeceleration) { |
| 110 | + return (curVelocity * curVelocity - endVelocity * endVelocity) / 2 * maxDeceleration; |
| 111 | + } |
| 112 | + |
| 113 | + /** |
| 114 | + * Return the distance of a {@link Pose2D} from the spline |
| 115 | + * @param parametric parametric to get distance from |
| 116 | + * @param robotPose {@link Pose2D} to get distance of |
| 117 | + * @param newtonsSteps number of steps to run Newton's method |
| 118 | + * @return the distance of a {@link Pose2D} from the spline |
| 119 | + */ |
| 120 | + public double distanceFromSpline(Parametric parametric, Pose2D robotPose, int newtonsSteps) { |
| 121 | + closestPointT = parametric.findClosestPointOnSpline(robotPose.getPosition(), newtonsSteps, 5); |
| 122 | + |
| 123 | + return parametric.getPoint(closestPointT).distance(robotPose.getPosition()); |
| 124 | + } |
| 125 | + |
| 126 | + /** |
| 127 | + * Returns the curvature of the parametric at t |
| 128 | + * @param t t parameter to get curvature at |
| 129 | + * @return the curvature of the parametric at t |
| 130 | + */ |
| 131 | + public double getCurvature(double t) { |
| 132 | + return parametric.getCurvature(t); |
| 133 | + } |
| 134 | + |
| 135 | + /** |
| 136 | + * Returns the curvature of the parametric at the closest point |
| 137 | + * @return the curvature of the parametric at the closest point |
| 138 | + */ |
| 139 | + public double getCurvature() { |
| 140 | + return parametric.getCurvature(closestPointT); |
| 141 | + } |
| 142 | + |
| 143 | + /** |
| 144 | + * Returns the maximum possible velocity based on a distance from a desired velocity |
| 145 | + * @param distance distance from point of desired velocity |
| 146 | + * @param endVelocity desired velocity at point of calculation |
| 147 | + * @param maxDeceleration maximum deceleration of the motion profile |
| 148 | + * @return the maximum possible velocity based on a distance from a desired velocity |
| 149 | + */ |
| 150 | + public double maxVelocityFromDistance(double distance, double endVelocity, double maxDeceleration) { |
| 151 | + //vf^2 = vi^2 + 2ad, find vi (deceleration = -a) |
| 152 | + if(distance > 0) return Math.sqrt(endVelocity * endVelocity + 2 * maxDeceleration * distance); |
| 153 | + else return 0; |
| 154 | + } |
| 155 | + |
| 156 | + /** |
| 157 | + * Returns maximum possible linear velocity given the radius of circle at a point |
| 158 | + * @param radius the radius of the circle |
| 159 | + * @return maximum possible linear velocity given the radius of circle at a point |
| 160 | + */ |
| 161 | + public double maxVelocityFromRadius(double radius) { |
| 162 | + if(Double.isInfinite(maxAngularVelocity)) return Double.POSITIVE_INFINITY; |
| 163 | + //l = w*r |
| 164 | + else return Math.abs(radius * maxAngularVelocity); |
| 165 | + } |
| 166 | + |
| 167 | + /** |
| 168 | + * Returns the angular velocity at a point given the linear velocity |
| 169 | + * @param t t parameter of the point |
| 170 | + * @param linearVelocity the linear velocity |
| 171 | + * @return the angular velocity at a point given the linear velocity |
| 172 | + */ |
| 173 | + public double getAngularVelocityAtPoint(double t, double linearVelocity) { |
| 174 | + return linearVelocity * getCurvature(t); |
| 175 | + } |
| 176 | + |
| 177 | + /** |
| 178 | + * Returns whether the path is finished based on the end threshold |
| 179 | + * @param robotPosition current robot {@link Pose2D} |
| 180 | + * @param threshold end threshold in meters |
| 181 | + * @return whether the path is finished based on the end threshold |
| 182 | + */ |
| 183 | + public boolean isFinished(Pose2D robotPosition, double threshold) { |
| 184 | + return (robotPosition.getPosition().distance(parametric.getPoint(1.0)) <= threshold) || distanceToEnd <= 0; |
| 185 | + } |
| 186 | + |
| 187 | + /** |
| 188 | + * Returns the {@link Parametric} associated with the path |
| 189 | + * @return the {@link Parametric} associated with the path |
| 190 | + */ |
| 191 | + public Parametric getParametric() { return parametric; } |
| 192 | + |
| 193 | + /** |
| 194 | + * Returns the maximum acceleration of the motion profile |
| 195 | + * @return the maximum acceleration of the motion profile |
| 196 | + */ |
| 197 | + public double getMaxAcceleration() { |
| 198 | + return maxAcceleration; |
| 199 | + } |
| 200 | + |
| 201 | + /** |
| 202 | + * Returns the maximum velocity of the motion profile |
| 203 | + * @return the maximum velocity of the motion profile |
| 204 | + */ |
| 205 | + public double getMaxVelocity() { |
| 206 | + return maxVelocity; |
| 207 | + } |
| 208 | + |
| 209 | + /** |
| 210 | + * Returns the start velocity of the motion profile |
| 211 | + * @return the start velocity of the motion profile |
| 212 | + */ |
| 213 | + public double getStartVelocity() { |
| 214 | + return startVelocity; |
| 215 | + } |
| 216 | + |
| 217 | + /** |
| 218 | + * Returns the end velocity of the motion profile |
| 219 | + * @return the end velocity of the motion profile |
| 220 | + */ |
| 221 | + public double getEndVelocity() { |
| 222 | + return endVelocity; |
| 223 | + } |
| 224 | + |
| 225 | + /** |
| 226 | + * Returns the maximum deceleration of the motion profile |
| 227 | + * @return the maximum deceleration of the motion profile |
| 228 | + */ |
| 229 | + public double getMaxDeceleration() { |
| 230 | + return maxDeceleration; |
| 231 | + } |
| 232 | + |
| 233 | + /** |
| 234 | + * Returns the maximum angular velocity of the motion profile |
| 235 | + * @return the maximum angular velocity of the motion profile |
| 236 | + */ |
| 237 | + public double getMaxAngularVelocity() { |
| 238 | + return maxAngularVelocity; |
| 239 | + } |
| 240 | + |
| 241 | + /** |
| 242 | + * Returns the radius of the tangent circle to the path at a t parameter |
| 243 | + * @param t t parameter to get radius of |
| 244 | + * @return the radius of the tangent circle to the path at a t parameter |
| 245 | + */ |
| 246 | + public double getRadius(double t) { |
| 247 | + return 1/getCurvature(t); |
| 248 | + } |
| 249 | + |
| 250 | +} |
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