forked from kscience/kmath
Code simplification for Dubins path
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@ -0,0 +1,18 @@
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/*
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* Copyright 2018-2021 KMath contributors.
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* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
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*/
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package space.kscience.kmath.geometry
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import kotlin.math.PI
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/**
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* A circle in 2D space
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*/
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public class Circle2D(
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public val center: Vector2D,
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public val radius: Double
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)
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public val Circle2D.circumference: Double get() = radius * 2 * PI
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@ -5,6 +5,10 @@
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package space.kscience.kmath.geometry
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package space.kscience.kmath.geometry
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/**
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* A line formed by [base] vector of start and a [direction] vector. Direction vector is not necessarily normalized,
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* but its length does not affect line properties
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*/
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public data class Line<out V : Vector>(val base: V, val direction: V)
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public data class Line<out V : Vector>(val base: V, val direction: V)
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public typealias Line2D = Line<Vector2D>
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public typealias Line2D = Line<Vector2D>
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@ -5,91 +5,95 @@
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package space.kscience.kmath.trajectory.dubins
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package space.kscience.kmath.trajectory.dubins
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import space.kscience.kmath.geometry.Circle2D
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import space.kscience.kmath.geometry.Euclidean2DSpace.distanceTo
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import space.kscience.kmath.geometry.Euclidean2DSpace.distanceTo
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import space.kscience.kmath.geometry.Vector2D
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import space.kscience.kmath.geometry.Vector2D
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import space.kscience.kmath.trajectory.segments.Arc
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import space.kscience.kmath.trajectory.segments.ArcSegment
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import space.kscience.kmath.trajectory.segments.Segment
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import space.kscience.kmath.trajectory.segments.Pose2D
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import space.kscience.kmath.trajectory.segments.Straight
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import space.kscience.kmath.trajectory.segments.StraightSegment
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import space.kscience.kmath.trajectory.segments.components.Circle
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import space.kscience.kmath.trajectory.segments.Trajectory
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import space.kscience.kmath.trajectory.segments.components.Pose2D
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import kotlin.math.acos
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import kotlin.math.acos
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import kotlin.math.cos
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import kotlin.math.cos
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import kotlin.math.sin
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import kotlin.math.sin
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public class DubinsPath(
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public class DubinsPath(
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public val a: Arc,
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public val a: ArcSegment,
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public val b: Segment,
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public val b: Trajectory,
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public val c: Arc,
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public val c: ArcSegment,
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) {
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) : Trajectory {
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public val type: TYPE = TYPE.valueOf(
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public val type: TYPE = TYPE.valueOf(
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arrayOf(
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arrayOf(
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a.direction.name[0],
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a.direction.name[0],
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if (b is Arc) b.direction.name[0] else 'S',
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if (b is ArcSegment) b.direction.name[0] else 'S',
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c.direction.name[0]
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c.direction.name[0]
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).toCharArray().concatToString()
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).toCharArray().concatToString()
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)
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)
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public val length: Double = a.length + b.length + c.length
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override val length: Double get() = a.length + b.length + c.length
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public enum class TYPE {
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public enum class TYPE {
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RLR, LRL, RSR, LSL, RSL, LSR
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RLR, LRL, RSR, LSL, RSL, LSR
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}
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}
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public companion object {
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public companion object {
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public fun all(start: Pose2D, end: Pose2D, turningRadius: Double): List<DubinsPath> =
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public fun all(
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listOfNotNull(
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start: Pose2D,
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rlr(start, end, turningRadius),
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end: Pose2D,
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lrl(start, end, turningRadius),
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turningRadius: Double,
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rsr(start, end, turningRadius),
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): List<DubinsPath> = listOfNotNull(
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lsl(start, end, turningRadius),
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rlr(start, end, turningRadius),
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rsl(start, end, turningRadius),
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lrl(start, end, turningRadius),
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lsr(start, end, turningRadius)
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rsr(start, end, turningRadius),
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)
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lsl(start, end, turningRadius),
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rsl(start, end, turningRadius),
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lsr(start, end, turningRadius)
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)
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public fun shortest(start: Pose2D, end: Pose2D, turningRadius: Double): DubinsPath =
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public fun shortest(start: Pose2D, end: Pose2D, turningRadius: Double): DubinsPath =
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all(start, end, turningRadius).minByOrNull { it.length }!!
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all(start, end, turningRadius).minBy { it.length }
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public fun rlr(start: Pose2D, end: Pose2D, turningRadius: Double): DubinsPath? {
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public fun rlr(start: Pose2D, end: Pose2D, turningRadius: Double): DubinsPath? {
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val c1 = start.getRightCircle(turningRadius)
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val c1 = start.getRightCircle(turningRadius)
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val c2 = end.getRightCircle(turningRadius)
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val c2 = end.getRightCircle(turningRadius)
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val centers = Straight(c1.center, c2.center)
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val centers = StraightSegment(c1.center, c2.center)
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if (centers.length > turningRadius * 4) return null
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if (centers.length > turningRadius * 4) return null
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var theta = theta(centers.theta - acos(centers.length / (turningRadius * 4)))
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var theta = theta(centers.theta - acos(centers.length / (turningRadius * 4)))
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var dX = turningRadius * sin(theta)
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var dX = turningRadius * sin(theta)
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var dY = turningRadius * cos(theta)
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var dY = turningRadius * cos(theta)
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val p = Vector2D(c1.center.x + dX * 2, c1.center.y + dY * 2)
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val p = Vector2D(c1.center.x + dX * 2, c1.center.y + dY * 2)
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val e = Circle(p, turningRadius)
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val e = Circle2D(p, turningRadius)
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val p1 = Vector2D(c1.center.x + dX, c1.center.y + dY)
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val p1 = Vector2D(c1.center.x + dX, c1.center.y + dY)
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theta = theta(centers.theta + acos(centers.length / (turningRadius * 4)))
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theta = theta(centers.theta + acos(centers.length / (turningRadius * 4)))
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dX = turningRadius * sin(theta)
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dX = turningRadius * sin(theta)
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dY = turningRadius * cos(theta)
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dY = turningRadius * cos(theta)
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val p2 = Vector2D(e.center.x + dX, e.center.y + dY)
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val p2 = Vector2D(e.center.x + dX, e.center.y + dY)
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val a1 = Arc.of(c1.center, start, p1, Arc.Direction.RIGHT)
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val a1 = ArcSegment.of(c1.center, start, p1, ArcSegment.Direction.RIGHT)
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val a2 = Arc.of(e.center, p1, p2, Arc.Direction.LEFT)
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val a2 = ArcSegment.of(e.center, p1, p2, ArcSegment.Direction.LEFT)
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val a3 = Arc.of(c2.center, p2, end, Arc.Direction.RIGHT)
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val a3 = ArcSegment.of(c2.center, p2, end, ArcSegment.Direction.RIGHT)
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return DubinsPath(a1, a2, a3)
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return DubinsPath(a1, a2, a3)
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}
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}
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public fun lrl(start: Pose2D, end: Pose2D, turningRadius: Double): DubinsPath? {
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public fun lrl(start: Pose2D, end: Pose2D, turningRadius: Double): DubinsPath? {
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val c1 = start.getLeftCircle(turningRadius)
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val c1 = start.getLeftCircle(turningRadius)
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val c2 = end.getLeftCircle(turningRadius)
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val c2 = end.getLeftCircle(turningRadius)
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val centers = Straight(c1.center, c2.center)
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val centers = StraightSegment(c1.center, c2.center)
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if (centers.length > turningRadius * 4) return null
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if (centers.length > turningRadius * 4) return null
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var theta = theta(centers.theta + acos(centers.length / (turningRadius * 4)))
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var theta = theta(centers.theta + acos(centers.length / (turningRadius * 4)))
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var dX = turningRadius * sin(theta)
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var dX = turningRadius * sin(theta)
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var dY = turningRadius * cos(theta)
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var dY = turningRadius * cos(theta)
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val p = Vector2D(c1.center.x + dX * 2, c1.center.y + dY * 2)
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val p = Vector2D(c1.center.x + dX * 2, c1.center.y + dY * 2)
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val e = Circle(p, turningRadius)
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val e = Circle2D(p, turningRadius)
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val p1 = Vector2D(c1.center.x + dX, c1.center.y + dY)
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val p1 = Vector2D(c1.center.x + dX, c1.center.y + dY)
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theta = theta(centers.theta - acos(centers.length / (turningRadius * 4)))
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theta = theta(centers.theta - acos(centers.length / (turningRadius * 4)))
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dX = turningRadius * sin(theta)
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dX = turningRadius * sin(theta)
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dY = turningRadius * cos(theta)
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dY = turningRadius * cos(theta)
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val p2 = Vector2D(e.center.x + dX, e.center.y + dY)
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val p2 = Vector2D(e.center.x + dX, e.center.y + dY)
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val a1 = Arc.of(c1.center, start, p1, Arc.Direction.LEFT)
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val a1 = ArcSegment.of(c1.center, start, p1, ArcSegment.Direction.LEFT)
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val a2 = Arc.of(e.center, p1, p2, Arc.Direction.RIGHT)
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val a2 = ArcSegment.of(e.center, p1, p2, ArcSegment.Direction.RIGHT)
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val a3 = Arc.of(c2.center, p2, end, Arc.Direction.LEFT)
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val a3 = ArcSegment.of(c2.center, p2, end, ArcSegment.Direction.LEFT)
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return DubinsPath(a1, a2, a3)
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return DubinsPath(a1, a2, a3)
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}
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}
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val c1 = start.getRightCircle(turningRadius)
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val c1 = start.getRightCircle(turningRadius)
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val c2 = end.getRightCircle(turningRadius)
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val c2 = end.getRightCircle(turningRadius)
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val s = leftOuterTangent(c1, c2)
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val s = leftOuterTangent(c1, c2)
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val a1 = Arc.of(c1.center, start, s.start, Arc.Direction.RIGHT)
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val a1 = ArcSegment.of(c1.center, start, s.start, ArcSegment.Direction.RIGHT)
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val a3 = Arc.of(c2.center, s.end, end, Arc.Direction.RIGHT)
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val a3 = ArcSegment.of(c2.center, s.end, end, ArcSegment.Direction.RIGHT)
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return DubinsPath(a1, s, a3)
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return DubinsPath(a1, s, a3)
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}
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}
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val c1 = start.getLeftCircle(turningRadius)
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val c1 = start.getLeftCircle(turningRadius)
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val c2 = end.getLeftCircle(turningRadius)
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val c2 = end.getLeftCircle(turningRadius)
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val s = rightOuterTangent(c1, c2)
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val s = rightOuterTangent(c1, c2)
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val a1 = Arc.of(c1.center, start, s.start, Arc.Direction.LEFT)
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val a1 = ArcSegment.of(c1.center, start, s.start, ArcSegment.Direction.LEFT)
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val a3 = Arc.of(c2.center, s.end, end, Arc.Direction.LEFT)
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val a3 = ArcSegment.of(c2.center, s.end, end, ArcSegment.Direction.LEFT)
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return DubinsPath(a1, s, a3)
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return DubinsPath(a1, s, a3)
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}
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}
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val s = rightInnerTangent(c1, c2)
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val s = rightInnerTangent(c1, c2)
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if (c1.center.distanceTo(c2.center) < turningRadius * 2 || s == null) return null
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if (c1.center.distanceTo(c2.center) < turningRadius * 2 || s == null) return null
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val a1 = Arc.of(c1.center, start, s.start, Arc.Direction.RIGHT)
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val a1 = ArcSegment.of(c1.center, start, s.start, ArcSegment.Direction.RIGHT)
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val a3 = Arc.of(c2.center, s.end, end, Arc.Direction.LEFT)
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val a3 = ArcSegment.of(c2.center, s.end, end, ArcSegment.Direction.LEFT)
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return DubinsPath(a1, s, a3)
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return DubinsPath(a1, s, a3)
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}
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}
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val s = leftInnerTangent(c1, c2)
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val s = leftInnerTangent(c1, c2)
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if (c1.center.distanceTo(c2.center) < turningRadius * 2 || s == null) return null
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if (c1.center.distanceTo(c2.center) < turningRadius * 2 || s == null) return null
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val a1 = Arc.of(c1.center, start, s.start, Arc.Direction.LEFT)
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val a1 = ArcSegment.of(c1.center, start, s.start, ArcSegment.Direction.LEFT)
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val a3 = Arc.of(c2.center, s.end, end, Arc.Direction.RIGHT)
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val a3 = ArcSegment.of(c2.center, s.end, end, ArcSegment.Direction.RIGHT)
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return DubinsPath(a1, s, a3)
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return DubinsPath(a1, s, a3)
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}
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}
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}
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}
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package space.kscience.kmath.trajectory.dubins
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package space.kscience.kmath.trajectory.dubins
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import space.kscience.kmath.geometry.Circle2D
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import space.kscience.kmath.geometry.Vector2D
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import space.kscience.kmath.geometry.Vector2D
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import space.kscience.kmath.trajectory.segments.Straight
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import space.kscience.kmath.trajectory.segments.Pose2D
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import space.kscience.kmath.trajectory.segments.components.Circle
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import space.kscience.kmath.trajectory.segments.StraightSegment
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import space.kscience.kmath.trajectory.segments.components.Pose2D
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import kotlin.math.PI
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import kotlin.math.PI
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import kotlin.math.acos
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import kotlin.math.acos
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import kotlin.math.cos
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import kotlin.math.cos
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LEFT, RIGHT
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LEFT, RIGHT
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}
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}
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internal fun Pose2D.getLeftCircle(radius: Double): Circle = getTangentCircles(radius).first
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internal fun Pose2D.getLeftCircle(radius: Double): Circle2D = getTangentCircles(radius).first
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internal fun Pose2D.getRightCircle(radius: Double): Circle = getTangentCircles(radius).second
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internal fun Pose2D.getRightCircle(radius: Double): Circle2D = getTangentCircles(radius).second
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internal fun Pose2D.getTangentCircles(radius: Double): Pair<Circle, Circle> {
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internal fun Pose2D.getTangentCircles(radius: Double): Pair<Circle2D, Circle2D> {
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val dX = radius * cos(theta)
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val dX = radius * cos(theta)
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val dY = radius * sin(theta)
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val dY = radius * sin(theta)
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return Circle(Vector2D(x - dX, y + dY), radius) to Circle(Vector2D(x + dX, y - dY), radius)
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return Circle2D(Vector2D(x - dX, y + dY), radius) to Circle2D(Vector2D(x + dX, y - dY), radius)
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}
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}
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internal fun leftOuterTangent(a: Circle, b: Circle) = outerTangent(a, b, SIDE.LEFT)
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internal fun leftOuterTangent(a: Circle2D, b: Circle2D): StraightSegment = outerTangent(a, b, SIDE.LEFT)
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internal fun rightOuterTangent(a: Circle, b: Circle) = outerTangent(a, b, SIDE.RIGHT)
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internal fun rightOuterTangent(a: Circle2D, b: Circle2D): StraightSegment = outerTangent(a, b, SIDE.RIGHT)
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private fun outerTangent(a: Circle, b: Circle, side: SIDE): Straight {
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val centers = Straight(a.center, b.center)
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private fun outerTangent(a: Circle2D, b: Circle2D, side: SIDE): StraightSegment {
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val centers = StraightSegment(a.center, b.center)
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val p1 = when (side) {
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val p1 = when (side) {
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SIDE.LEFT -> Vector2D(
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SIDE.LEFT -> Vector2D(
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a.center.x - a.radius * cos(centers.theta),
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a.center.x - a.radius * cos(centers.theta),
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@ -40,16 +41,20 @@ private fun outerTangent(a: Circle, b: Circle, side: SIDE): Straight {
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a.center.y - a.radius * sin(centers.theta)
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a.center.y - a.radius * sin(centers.theta)
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)
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)
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}
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}
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return Straight(
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return StraightSegment(
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p1,
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p1,
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Vector2D(p1.x + (centers.end.x - centers.start.x), p1.y + (centers.end.y - centers.start.y))
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Vector2D(p1.x + (centers.end.x - centers.start.x), p1.y + (centers.end.y - centers.start.y))
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)
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)
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}
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}
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internal fun leftInnerTangent(base: Circle, direction: Circle) = innerTangent(base, direction, SIDE.LEFT)
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internal fun leftInnerTangent(base: Circle2D, direction: Circle2D): StraightSegment? =
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internal fun rightInnerTangent(base: Circle, direction: Circle) = innerTangent(base, direction, SIDE.RIGHT)
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innerTangent(base, direction, SIDE.LEFT)
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private fun innerTangent(base: Circle, direction: Circle, side: SIDE): Straight? {
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val centers = Straight(base.center, direction.center)
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internal fun rightInnerTangent(base: Circle2D, direction: Circle2D): StraightSegment? =
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innerTangent(base, direction, SIDE.RIGHT)
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private fun innerTangent(base: Circle2D, direction: Circle2D, side: SIDE): StraightSegment? {
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val centers = StraightSegment(base.center, direction.center)
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if (centers.length < base.radius * 2) return null
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if (centers.length < base.radius * 2) return null
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val angle = theta(
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val angle = theta(
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when (side) {
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when (side) {
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@ -61,7 +66,7 @@ private fun innerTangent(base: Circle, direction: Circle, side: SIDE): Straight?
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val dY = base.radius * cos(angle)
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val dY = base.radius * cos(angle)
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val p1 = Vector2D(base.center.x + dX, base.center.y + dY)
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val p1 = Vector2D(base.center.x + dX, base.center.y + dY)
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val p2 = Vector2D(direction.center.x - dX, direction.center.y - dY)
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val p2 = Vector2D(direction.center.x - dX, direction.center.y - dY)
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return Straight(p1, p2)
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return StraightSegment(p1, p2)
|
||||||
}
|
}
|
||||||
|
|
||||||
internal fun theta(theta: Double) = (theta + (2 * PI)) % (2 * PI)
|
internal fun theta(theta: Double): Double = (theta + (2 * PI)) % (2 * PI)
|
@ -1,59 +0,0 @@
|
|||||||
package space.kscience.kmath.trajectory.segments
|
|
||||||
|
|
||||||
import space.kscience.kmath.geometry.Vector2D
|
|
||||||
import space.kscience.kmath.trajectory.dubins.theta
|
|
||||||
import space.kscience.kmath.trajectory.segments.components.Circle
|
|
||||||
import space.kscience.kmath.trajectory.segments.components.Pose2D
|
|
||||||
import kotlin.math.PI
|
|
||||||
|
|
||||||
public data class Arc(
|
|
||||||
public val circle: Circle,
|
|
||||||
public val start: Pose2D,
|
|
||||||
public val end: Pose2D
|
|
||||||
) : Segment {
|
|
||||||
|
|
||||||
internal companion object {
|
|
||||||
fun of(center: Vector2D, start: Vector2D, end: Vector2D, direction: Direction): Arc {
|
|
||||||
val s1 = Straight(center, start)
|
|
||||||
val s2 = Straight(center, end)
|
|
||||||
val pose1 = calculatePose(start, s1.theta, direction)
|
|
||||||
val pose2 = calculatePose(end, s2.theta, direction)
|
|
||||||
return Arc(Circle(center, s1.length), pose1, pose2)
|
|
||||||
}
|
|
||||||
|
|
||||||
private fun calculatePose(vector: Vector2D, theta: Double, direction: Direction): Pose2D =
|
|
||||||
Pose2D.of(
|
|
||||||
vector,
|
|
||||||
when (direction) {
|
|
||||||
Direction.LEFT -> theta(theta - PI / 2)
|
|
||||||
Direction.RIGHT -> theta(theta + PI / 2)
|
|
||||||
}
|
|
||||||
)
|
|
||||||
}
|
|
||||||
|
|
||||||
internal enum class Direction {
|
|
||||||
LEFT, RIGHT
|
|
||||||
}
|
|
||||||
|
|
||||||
override val length: Double
|
|
||||||
get() {
|
|
||||||
val angle: Double =
|
|
||||||
theta(if (direction == Direction.LEFT) start.theta - end.theta else end.theta - start.theta)
|
|
||||||
val proportion = angle / (2 * PI)
|
|
||||||
return circle.circumference * proportion
|
|
||||||
}
|
|
||||||
|
|
||||||
internal val direction: Direction
|
|
||||||
get() = if (start.y < circle.center.y) {
|
|
||||||
if (start.theta > PI) Direction.RIGHT else Direction.LEFT
|
|
||||||
} else if (start.y > circle.center.y) {
|
|
||||||
if (start.theta < PI) Direction.RIGHT else Direction.LEFT
|
|
||||||
} else {
|
|
||||||
if (start.theta == 0.0) {
|
|
||||||
if (start.x < circle.center.x) Direction.RIGHT else Direction.LEFT
|
|
||||||
} else {
|
|
||||||
if (start.x > circle.center.x) Direction.RIGHT else Direction.LEFT
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
}
|
|
@ -0,0 +1,21 @@
|
|||||||
|
/*
|
||||||
|
* Copyright 2018-2021 KMath contributors.
|
||||||
|
* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
|
||||||
|
*/
|
||||||
|
|
||||||
|
package space.kscience.kmath.trajectory.segments
|
||||||
|
|
||||||
|
import space.kscience.kmath.geometry.Vector2D
|
||||||
|
|
||||||
|
/**
|
||||||
|
* A [Vector2D] with view direction
|
||||||
|
*/
|
||||||
|
public data class Pose2D(
|
||||||
|
override val x: Double,
|
||||||
|
override val y: Double,
|
||||||
|
public val theta: Double
|
||||||
|
) : Vector2D {
|
||||||
|
public companion object {
|
||||||
|
public fun of(vector: Vector2D, theta: Double): Pose2D = Pose2D(vector.x, vector.y, theta)
|
||||||
|
}
|
||||||
|
}
|
@ -1,5 +0,0 @@
|
|||||||
package space.kscience.kmath.trajectory.segments
|
|
||||||
|
|
||||||
public interface Segment {
|
|
||||||
public val length: Double
|
|
||||||
}
|
|
@ -1,18 +0,0 @@
|
|||||||
package space.kscience.kmath.trajectory.segments
|
|
||||||
|
|
||||||
import space.kscience.kmath.geometry.Euclidean2DSpace.distanceTo
|
|
||||||
import space.kscience.kmath.geometry.Vector2D
|
|
||||||
import space.kscience.kmath.trajectory.dubins.theta
|
|
||||||
import kotlin.math.PI
|
|
||||||
import kotlin.math.atan2
|
|
||||||
|
|
||||||
public data class Straight(
|
|
||||||
internal val start: Vector2D,
|
|
||||||
internal val end: Vector2D
|
|
||||||
) : Segment {
|
|
||||||
override val length: Double
|
|
||||||
get() = start.distanceTo(end)
|
|
||||||
|
|
||||||
internal val theta: Double
|
|
||||||
get() = theta(atan2(end.x - start.x, end.y - start.y))
|
|
||||||
}
|
|
@ -0,0 +1,89 @@
|
|||||||
|
package space.kscience.kmath.trajectory.segments
|
||||||
|
|
||||||
|
import space.kscience.kmath.geometry.Circle2D
|
||||||
|
import space.kscience.kmath.geometry.Euclidean2DSpace.distanceTo
|
||||||
|
import space.kscience.kmath.geometry.Vector2D
|
||||||
|
import space.kscience.kmath.geometry.circumference
|
||||||
|
import space.kscience.kmath.trajectory.dubins.theta
|
||||||
|
import kotlin.math.PI
|
||||||
|
import kotlin.math.atan2
|
||||||
|
|
||||||
|
public interface Trajectory {
|
||||||
|
public val length: Double
|
||||||
|
}
|
||||||
|
|
||||||
|
/**
|
||||||
|
* Straight path segment. The order of start and end defines the direction
|
||||||
|
*/
|
||||||
|
public data class StraightSegment(
|
||||||
|
internal val start: Vector2D,
|
||||||
|
internal val end: Vector2D,
|
||||||
|
) : Trajectory {
|
||||||
|
override val length: Double get() = start.distanceTo(end)
|
||||||
|
|
||||||
|
internal val theta: Double get() = theta(atan2(end.x - start.x, end.y - start.y))
|
||||||
|
}
|
||||||
|
|
||||||
|
/**
|
||||||
|
* An arc segment
|
||||||
|
*/
|
||||||
|
public data class ArcSegment(
|
||||||
|
public val circle: Circle2D,
|
||||||
|
public val start: Pose2D,
|
||||||
|
public val end: Pose2D,
|
||||||
|
) : Trajectory {
|
||||||
|
|
||||||
|
public enum class Direction {
|
||||||
|
LEFT, RIGHT
|
||||||
|
}
|
||||||
|
|
||||||
|
override val length: Double by lazy {
|
||||||
|
val angle: Double = theta(
|
||||||
|
if (direction == Direction.LEFT) {
|
||||||
|
start.theta - end.theta
|
||||||
|
} else {
|
||||||
|
end.theta - start.theta
|
||||||
|
}
|
||||||
|
)
|
||||||
|
val proportion = angle / (2 * PI)
|
||||||
|
circle.circumference * proportion
|
||||||
|
}
|
||||||
|
|
||||||
|
internal val direction: Direction by lazy {
|
||||||
|
if (start.y < circle.center.y) {
|
||||||
|
if (start.theta > PI) Direction.RIGHT else Direction.LEFT
|
||||||
|
} else if (start.y > circle.center.y) {
|
||||||
|
if (start.theta < PI) Direction.RIGHT else Direction.LEFT
|
||||||
|
} else {
|
||||||
|
if (start.theta == 0.0) {
|
||||||
|
if (start.x < circle.center.x) Direction.RIGHT else Direction.LEFT
|
||||||
|
} else {
|
||||||
|
if (start.x > circle.center.x) Direction.RIGHT else Direction.LEFT
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
public companion object {
|
||||||
|
public fun of(center: Vector2D, start: Vector2D, end: Vector2D, direction: Direction): ArcSegment {
|
||||||
|
fun calculatePose(
|
||||||
|
vector: Vector2D,
|
||||||
|
theta: Double,
|
||||||
|
direction: Direction,
|
||||||
|
): Pose2D = Pose2D.of(
|
||||||
|
vector,
|
||||||
|
when (direction) {
|
||||||
|
Direction.LEFT -> theta(theta - PI / 2)
|
||||||
|
Direction.RIGHT -> theta(theta + PI / 2)
|
||||||
|
}
|
||||||
|
)
|
||||||
|
|
||||||
|
val s1 = StraightSegment(center, start)
|
||||||
|
val s2 = StraightSegment(center, end)
|
||||||
|
val pose1 = calculatePose(start, s1.theta, direction)
|
||||||
|
val pose2 = calculatePose(end, s2.theta, direction)
|
||||||
|
return ArcSegment(Circle2D(center, s1.length), pose1, pose2)
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
}
|
||||||
|
|
@ -1,11 +0,0 @@
|
|||||||
package space.kscience.kmath.trajectory.segments.components
|
|
||||||
|
|
||||||
import space.kscience.kmath.geometry.Vector2D
|
|
||||||
import kotlin.math.PI
|
|
||||||
|
|
||||||
public open class Circle(
|
|
||||||
internal val center: Vector2D,
|
|
||||||
internal val radius: Double
|
|
||||||
) {
|
|
||||||
internal val circumference = radius * 2 * PI
|
|
||||||
}
|
|
@ -1,13 +0,0 @@
|
|||||||
package space.kscience.kmath.trajectory.segments.components
|
|
||||||
|
|
||||||
import space.kscience.kmath.geometry.Vector2D
|
|
||||||
|
|
||||||
public data class Pose2D(
|
|
||||||
override val x: Double,
|
|
||||||
override val y: Double,
|
|
||||||
public val theta: Double
|
|
||||||
) : Vector2D {
|
|
||||||
internal companion object {
|
|
||||||
internal fun of(vector: Vector2D, theta: Double) = Pose2D(vector.x, vector.y, theta)
|
|
||||||
}
|
|
||||||
}
|
|
@ -1,8 +1,8 @@
|
|||||||
package space.kscience.kmath.trajectory
|
package space.kscience.kmath.trajectory
|
||||||
|
|
||||||
import space.kscience.kmath.geometry.Vector2D
|
import space.kscience.kmath.geometry.Vector2D
|
||||||
import space.kscience.kmath.trajectory.segments.Straight
|
import space.kscience.kmath.trajectory.segments.Pose2D
|
||||||
import space.kscience.kmath.trajectory.segments.components.Pose2D
|
import space.kscience.kmath.trajectory.segments.StraightSegment
|
||||||
import kotlin.math.PI
|
import kotlin.math.PI
|
||||||
import kotlin.math.abs
|
import kotlin.math.abs
|
||||||
import kotlin.math.sin
|
import kotlin.math.sin
|
||||||
@ -14,12 +14,12 @@ fun Double.radiansToDegrees() = this * 180 / PI
|
|||||||
fun Double.equalFloat(other: Double) = abs(this - other) < maxFloatDelta
|
fun Double.equalFloat(other: Double) = abs(this - other) < maxFloatDelta
|
||||||
fun Pose2D.equalsFloat(other: Pose2D) = x.equalFloat(other.x) && y.equalFloat(other.y) && theta.equalFloat(other.theta)
|
fun Pose2D.equalsFloat(other: Pose2D) = x.equalFloat(other.x) && y.equalFloat(other.y) && theta.equalFloat(other.theta)
|
||||||
|
|
||||||
fun Straight.inverse() = Straight(end, start)
|
fun StraightSegment.inverse() = StraightSegment(end, start)
|
||||||
fun Straight.shift(shift: Int, width: Double): Straight {
|
fun StraightSegment.shift(shift: Int, width: Double): StraightSegment {
|
||||||
val dX = width * sin(inverse().theta)
|
val dX = width * sin(inverse().theta)
|
||||||
val dY = width * sin(theta)
|
val dY = width * sin(theta)
|
||||||
|
|
||||||
return Straight(
|
return StraightSegment(
|
||||||
Vector2D(start.x - dX * shift, start.y - dY * shift),
|
Vector2D(start.x - dX * shift, start.y - dY * shift),
|
||||||
Vector2D(end.x - dX * shift, end.y - dY * shift)
|
Vector2D(end.x - dX * shift, end.y - dY * shift)
|
||||||
)
|
)
|
||||||
|
@ -10,9 +10,9 @@ import space.kscience.kmath.geometry.Vector2D
|
|||||||
import space.kscience.kmath.trajectory.equalFloat
|
import space.kscience.kmath.trajectory.equalFloat
|
||||||
import space.kscience.kmath.trajectory.equalsFloat
|
import space.kscience.kmath.trajectory.equalsFloat
|
||||||
import space.kscience.kmath.trajectory.inverse
|
import space.kscience.kmath.trajectory.inverse
|
||||||
import space.kscience.kmath.trajectory.segments.Arc
|
import space.kscience.kmath.trajectory.segments.ArcSegment
|
||||||
import space.kscience.kmath.trajectory.segments.Straight
|
import space.kscience.kmath.trajectory.segments.Pose2D
|
||||||
import space.kscience.kmath.trajectory.segments.components.Pose2D
|
import space.kscience.kmath.trajectory.segments.StraightSegment
|
||||||
import space.kscience.kmath.trajectory.shift
|
import space.kscience.kmath.trajectory.shift
|
||||||
import kotlin.test.Test
|
import kotlin.test.Test
|
||||||
import kotlin.test.assertNotNull
|
import kotlin.test.assertNotNull
|
||||||
@ -23,7 +23,7 @@ class DubinsTests {
|
|||||||
|
|
||||||
@Test
|
@Test
|
||||||
fun dubinsTest() {
|
fun dubinsTest() {
|
||||||
val straight = Straight(Vector2D(0.0, 0.0), Vector2D(100.0, 100.0))
|
val straight = StraightSegment(Vector2D(0.0, 0.0), Vector2D(100.0, 100.0))
|
||||||
val lineP1 = straight.shift(1, 10.0).inverse()
|
val lineP1 = straight.shift(1, 10.0).inverse()
|
||||||
|
|
||||||
val start = Pose2D.of(straight.end, straight.theta)
|
val start = Pose2D.of(straight.end, straight.theta)
|
||||||
@ -52,12 +52,12 @@ class DubinsTests {
|
|||||||
assertTrue(end.equalsFloat(path.c.end))
|
assertTrue(end.equalsFloat(path.c.end))
|
||||||
|
|
||||||
// Not working, theta double precision inaccuracy
|
// Not working, theta double precision inaccuracy
|
||||||
if (path.b is Arc) {
|
if (path.b is ArcSegment) {
|
||||||
val b = path.b as Arc
|
val b = path.b as ArcSegment
|
||||||
assertTrue(path.a.end.equalsFloat(b.start))
|
assertTrue(path.a.end.equalsFloat(b.start))
|
||||||
assertTrue(path.c.start.equalsFloat(b.end))
|
assertTrue(path.c.start.equalsFloat(b.end))
|
||||||
} else if (path.b is Straight) {
|
} else if (path.b is StraightSegment) {
|
||||||
val b = path.b as Straight
|
val b = path.b as StraightSegment
|
||||||
assertTrue(path.a.end.equalsFloat(Pose2D.of(b.start, b.theta)))
|
assertTrue(path.a.end.equalsFloat(Pose2D.of(b.start, b.theta)))
|
||||||
assertTrue(path.c.start.equalsFloat(Pose2D.of(b.end, b.theta)))
|
assertTrue(path.c.start.equalsFloat(Pose2D.of(b.end, b.theta)))
|
||||||
}
|
}
|
||||||
|
@ -1,8 +1,9 @@
|
|||||||
package space.kscience.kmath.trajectory.segments
|
package space.kscience.kmath.trajectory.segments
|
||||||
|
|
||||||
|
import space.kscience.kmath.geometry.Circle2D
|
||||||
import space.kscience.kmath.geometry.Vector2D
|
import space.kscience.kmath.geometry.Vector2D
|
||||||
|
import space.kscience.kmath.geometry.circumference
|
||||||
import space.kscience.kmath.trajectory.radiansToDegrees
|
import space.kscience.kmath.trajectory.radiansToDegrees
|
||||||
import space.kscience.kmath.trajectory.segments.components.Circle
|
|
||||||
import kotlin.test.Test
|
import kotlin.test.Test
|
||||||
import kotlin.test.assertEquals
|
import kotlin.test.assertEquals
|
||||||
|
|
||||||
@ -10,8 +11,8 @@ class ArcTests {
|
|||||||
|
|
||||||
@Test
|
@Test
|
||||||
fun arcTest() {
|
fun arcTest() {
|
||||||
val circle = Circle(Vector2D(0.0, 0.0), 2.0)
|
val circle = Circle2D(Vector2D(0.0, 0.0), 2.0)
|
||||||
val arc = Arc.of(circle.center, Vector2D(-2.0, 0.0), Vector2D(0.0, 2.0), Arc.Direction.RIGHT)
|
val arc = ArcSegment.of(circle.center, Vector2D(-2.0, 0.0), Vector2D(0.0, 2.0), ArcSegment.Direction.RIGHT)
|
||||||
assertEquals(circle.circumference / 4, arc.length, 1.0)
|
assertEquals(circle.circumference / 4, arc.length, 1.0)
|
||||||
assertEquals(0.0, arc.start.theta.radiansToDegrees())
|
assertEquals(0.0, arc.start.theta.radiansToDegrees())
|
||||||
assertEquals(90.0, arc.end.theta.radiansToDegrees())
|
assertEquals(90.0, arc.end.theta.radiansToDegrees())
|
||||||
|
@ -3,9 +3,11 @@
|
|||||||
* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
|
* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
|
||||||
*/
|
*/
|
||||||
|
|
||||||
package space.kscience.kmath.trajectory.segments.components
|
package space.kscience.kmath.trajectory.segments
|
||||||
|
|
||||||
|
import space.kscience.kmath.geometry.Circle2D
|
||||||
import space.kscience.kmath.geometry.Vector2D
|
import space.kscience.kmath.geometry.Vector2D
|
||||||
|
import space.kscience.kmath.geometry.circumference
|
||||||
import space.kscience.kmath.trajectory.maxFloatDelta
|
import space.kscience.kmath.trajectory.maxFloatDelta
|
||||||
import kotlin.test.Test
|
import kotlin.test.Test
|
||||||
import kotlin.test.assertEquals
|
import kotlin.test.assertEquals
|
||||||
@ -17,7 +19,7 @@ class CircleTests {
|
|||||||
val center = Vector2D(0.0, 0.0)
|
val center = Vector2D(0.0, 0.0)
|
||||||
val radius = 2.0
|
val radius = 2.0
|
||||||
val expectedCircumference = 12.56637
|
val expectedCircumference = 12.56637
|
||||||
val circle = Circle(center, radius)
|
val circle = Circle2D(center, radius)
|
||||||
assertEquals(expectedCircumference, circle.circumference, maxFloatDelta)
|
assertEquals(expectedCircumference, circle.circumference, maxFloatDelta)
|
||||||
}
|
}
|
||||||
}
|
}
|
@ -12,21 +12,21 @@ class LineTests {
|
|||||||
|
|
||||||
@Test
|
@Test
|
||||||
fun lineTest() {
|
fun lineTest() {
|
||||||
val straight = Straight(Vector2D(0.0, 0.0), Vector2D(100.0, 100.0))
|
val straight = StraightSegment(Vector2D(0.0, 0.0), Vector2D(100.0, 100.0))
|
||||||
assertEquals(sqrt(100.0.pow(2) + 100.0.pow(2)), straight.length)
|
assertEquals(sqrt(100.0.pow(2) + 100.0.pow(2)), straight.length)
|
||||||
assertEquals(45.0, straight.theta.radiansToDegrees())
|
assertEquals(45.0, straight.theta.radiansToDegrees())
|
||||||
}
|
}
|
||||||
|
|
||||||
@Test
|
@Test
|
||||||
fun lineAngleTest() {
|
fun lineAngleTest() {
|
||||||
val zero = Vector2D(0.0, 0.0)
|
//val zero = Vector2D(0.0, 0.0)
|
||||||
val north = Straight(Euclidean2DSpace.zero, Vector2D(0.0, 2.0))
|
val north = StraightSegment(Euclidean2DSpace.zero, Vector2D(0.0, 2.0))
|
||||||
assertEquals(0.0, north.theta.radiansToDegrees())
|
assertEquals(0.0, north.theta.radiansToDegrees())
|
||||||
val east = Straight(Euclidean2DSpace.zero, Vector2D(2.0, 0.0))
|
val east = StraightSegment(Euclidean2DSpace.zero, Vector2D(2.0, 0.0))
|
||||||
assertEquals(90.0, east.theta.radiansToDegrees())
|
assertEquals(90.0, east.theta.radiansToDegrees())
|
||||||
val south = Straight(Euclidean2DSpace.zero, Vector2D(0.0, -2.0))
|
val south = StraightSegment(Euclidean2DSpace.zero, Vector2D(0.0, -2.0))
|
||||||
assertEquals(180.0, south.theta.radiansToDegrees())
|
assertEquals(180.0, south.theta.radiansToDegrees())
|
||||||
val west = Straight(Euclidean2DSpace.zero, Vector2D(-2.0, 0.0))
|
val west = StraightSegment(Euclidean2DSpace.zero, Vector2D(-2.0, 0.0))
|
||||||
assertEquals(270.0, west.theta.radiansToDegrees())
|
assertEquals(270.0, west.theta.radiansToDegrees())
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
|
Loading…
Reference in New Issue
Block a user